Angle classification/relationships

Answers

Answer 1

Angles are another way to categorize triangles. Each of the three angles in an acute triangle is acute (less than 90 degrees). One right angle and two acute angles make up a right triangle. Additionally, an obtuse triangle has two acute angles and one obtuse angle (greater than 90 degrees).

What does the triangle's angle relationship mean?

Angles and sides in relation to one another The biggest side and angle in any triangle are in opposition to one another. The smallest side and angle in every triangle are on opposing sides. The middle side and middle angle are always in opposition to one another in triangles.

A congruent triangle ,

if all of two triangles' sides match, then they are said to be congruent.

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Related Questions

(Order of Operations with Radicals LC)

Simplify the expression.

square root of 49 minus 2 squared

Answers

Answer:

Step-by-step explanation:

Given expression

[tex]\sqrt{49}-2^2[/tex]

Simplify it as follows

[tex]\sqrt{49}-2^2 =[/tex][tex]7-4=[/tex][tex]3[/tex]

Answer:

Step-by-step explanation:

i got it right on the exam!

Deshaun is going to rent a truck for one day. There are two companies he can choose from, and they have the following prices.
Company A charges $84 and allows unlimited mileage.
Company B has an initial fee of $75 and charges an additional $0.60 for every mile driven.
For what mileages will Company A charge less than Company B?
Use m for the number of miles driven, and solve your inequality for m.

Answers

Step-by-step explanation:

Deshaun is going to rent a truck for one day. There are two companies he can choose from, and they have the following prices. Company A charges $84 and allows unlimited mileage. Company B has an initial fee of $75 and charges an additional $0.60 for every mile driven. For what mileages will Company A charge less than Company B? (Use m for the number of miles driven, and solve your inequality for m.)

inequality: 0.6m + 75 < 84

subtract 75 from both sides:

0.6m + 75 - 75 < 84 - 75

0.6m < 9

divide both sides by 0.6:

0.6m/0.6 < 9/0.6

m < 15

SO:

For anything less than 15 miles, Company A charges less than Company B.

Calvin wants to sell a basic badminton kit to his friends. In that kit, he puts two rackets worth
140 each and a shuttlecock worth 280. He wants to have a profit of 25%.
For how much should Calvin sell the kit?

Answers

Answer:

realto, hindi ako sure eh

Step-by-step explanation:

tama yan

how is [tex] {1}^{4} [/tex]differ from [tex] { {0.1}^{4} }^{} [/tex]

Answers

[tex]\text{Because 1}^4=1and0.1^4=0.0001[/tex]

1) According to the exponent's law, any exponent whose base is 1, that yields 1. For example

[tex]\begin{gathered} 1^4=1 \\ 1^3=1 \\ 1^{^{\pi}}=1\text{ } \\ \text{etc.} \end{gathered}[/tex]

2) The same does not happen to 0.1

[tex]0.1=\frac{1}{10}^4=\frac{1}{10000}=0.0001[/tex]

Since 0.1 is a fraction, we'll raise to the 4th power 1 and 10 simultaneously, as a ratio.

3) So the answer is

[tex]\text{Because 1}^4=1and0.1^4=0.0001[/tex]

2. Write three decimals that
have a sum of 114.056.

Answers

Three decimal that sum of 114.056 is 52.2+34.15+28.5.

What is decimal?

decimal is a term that describes the base-10 number system, probably of the most commonly used the number system. The decimal number system of consists of ten single-digit numbers.

We will represent this as 1.5 pizzas in decimal form. In this case, the dot stands in for the decimal point, the number before the dot, in this case "1," represents one whole pizza, and the number after the decimal point, or the fractional part, represents the other half of the pizza. You may have seen decimal numbers similar to these while grocery shopping, on a scale, or even during a baseball game.

Sol- we have to add three decimal that have a sum of 114.056 no parts are given here.

Let's take

X+Y+Z = 114.056

We need to add any particular number here

Let's put 52+34+28

Still we need .056 extra

So we have to add points here

52.2+34.15+28.5

So these are 3 decimal point.

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Sarah is 148 centimeters tall. How tall is Sarah in inches? Round to
the nearest tenth inch?

Answers

If Sarah is 148 centimeters tall. Sarah's height in inches is 58.27 inches

How to determine Sarah's height in inches

Information given in the question include

Sarah is 148 centimeters tall

Round to the nearest tenth inch

Sarah's height in inches is is determined using conversion from centimeters to inches

centimeters = cm

inches = in

The unit conversion factor is given as

1 centimeter = 0.393701 inches

148 cm = ?

cross multiplying gives

? * 1 = 148 * 0.393701

? = 58.2677 in

? = 58.27 in ( to the nearest tenth of inch )

Therefore Sarah's height when converted form cm to inches is 58.27 in

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Answer:58.3 inches

Before rounding:58.2677

This is lines , functions and systems. Graphing a line through a given point with a given slope.

Answers

The slope of the line is given as -2/3.

We are also given the point (1, 1) in which this line passes through.

Before we can plot the graph of the line, we need to know the equation of the line first.

The values given are more than enough to find the equation of the line.

The formula used to get the equation of the line is given below:

[tex]\begin{gathered} m=\frac{y-y_1}{x-x_1} \\ \text{where,} \\ m=\text{slope} \\ _{} \\ x_1,y_1=\text{ The given point} \end{gathered}[/tex]

Now, with this formula, let us find the equation of the line.

[tex]\begin{gathered} y_1=1,x_1=1,m=-\frac{2}{3} \\ m=\frac{y-y_1}{x-x_1} \\ \\ -\frac{2}{3}=\frac{y-1}{x-1}\text{ (Cross multiply)} \\ \\ -2\times(x-1)=3(y-1) \\ -2x+2=3y-3 \\ \text{add 3 to both sides} \\ -2x+2+3=3y-3+3 \\ 3y=-2x+5 \end{gathered}[/tex]

Thus, the equation of the line is:

[tex]3y=-2x+5[/tex]

Now, using a graph calculator, let us plot this equation.

After doing this, the following is the result:

PLEASE HELP ASAP (100 POINTS) If the line of best fit is y = 1.416x − 0.76, what is the residual value for the coordinate (7, 8)?

A. −1.152

B. 1.152

C. −3.568

D. 3.568

Answers

Answer:

A: -1.152

Step-by-step explanation:

y = 1.416x − 0.76

For (7, 8):

residual value = Measured value - Predicted value

residual value = (actual y-coordinate of the point, y2) - (value of y from the equation, y1)

When x = 7:

value of y from the equation, y1 = 1.416*7 - 0.76

y1 = 9.912 - 0.76

y1 = 9.152

actual y-coordinate of the point, y2 = 8

From:

residual value = (actual y-coordinate of the point, y2) - (value of y from the equation, y1)

residual value = y2 - y1

residual value = 8 - 9.152

residual value = -1.152

Answer:

A: -1.152

Step-by-step explanation:

I did it and it was right!

PLEASE SHOW YOUR WORK THIS IS DO IN AN HOUR AND I HAVE TO SUMBIT A PHOTO OF THE WORK AND THE WORK PAGE PLEASE IN NEED OF HELP

Answers

Answer:

[tex]\frac{21}{2} * \frac{2}{21} = 1[/tex]

10 1/2 as an improper fraction is [tex]\frac{21}{2}[/tex]

the reciprocal of 10 1/2 is [tex]\frac{2}{21}[/tex]

so [tex]\frac{21}{2} * \frac{2}{21} = 1[/tex]

below is an image of the rest of the answers

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Answers

Answer:

c = 23

Step-by-step explanation:

To start, the interior of ∠L is needed to complete the equation. Since the total value of an interior and exterior angle is equal to 180°, we can confirm that 180° - 83° = 97°. Now, we can plug in the numbers.

(2c + 51)° = 97°

Next, you want to subtract 51 from both sides.

(2c + 51) - 51 = 97 - 51

2c = 46

Lastly, you isolate c by dividing 46 by 2.

c = 46 ÷ 2

c = 23

Pls help will mark brainliest!!

Answers

Answer:

59 degrees(triangle on the right)

Step-by-step explanation:

The total degrees of a triangle is 180 so add 76+45=121.

180-121=59

Hi Mr or Ms could you help me with this problem because I'm getting thrown off. it would be really awesome if you could help me out step by step here because I'm a bit stuck

Answers

According to the given graph, the given angles are alternate interior angles that are always equivalent.

Having said that, we can express the following equation.-

[tex]7x-1=125[/tex]

Solving for x, we have

[tex]\begin{gathered} 7x=125+1 \\ 7x=126 \\ \frac{7x}{7}=\frac{126}{7} \\ x=18 \end{gathered}[/tex]Therefore, x is equal to 18.

15. Identify all of the acute angles shown.
A. ZXWZ, 2XYZ
B. There are no acute angles shown.
C. ZWZY, 2XWZ, ZWXY,

Answers

The identified acute angles in the diagram are: D. Angle WZY and angle WXY.

What are Acute Angles?

An acute angle can be described as any angle that has a degree measure that is below 90 degrees, in order words, it is smaller than a right angle.

For example, an acute angle is attached below, which is 62°, and it is less than a right angle or 90 degrees. Angles 30°, 45°, 60°, 75°, etc are all regarded as acute angles because they are less than a right angle or 90 degrees.

In quadrilateral WXYZ, the acute angles that are less than a right angle, and are below 90 degrees are: D. Angle WZY and angle WXY.

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(3x(2)+4x+2)-(7x(2)+2x+5)
how do we solve it please someone help

Answers

The simplified form of the expression [tex](3x^2+4x+2)-(7x^2+2x+5)[/tex] is [tex]-4x^2+2x-3[/tex].

In the given question,

The given expression is [tex](3x^2+4x+2)-(7x^2+2x+5)[/tex].

We have to solve the given expression.

To solve this question we use have to follow some rule.

Some Rules are

We have to remove parentheses from each side of the equation and combine similar phrases to make it simpler. To separate the variable term on one side of the equation, use addition or subtraction.To find the variable, use division or multiplication.

In this given question to solve the expression we firstly solve the bracket.

When we multiply the term under the bracket with minus sign then all sign under the bracket will also be changed

Now simplifying the expression.

[tex]=3x^2+4x+2-7x^2-2x-5[/tex]

Now we combine the similar term.

[tex]=(3x^2-7x^2)+(4x-2x)+(2-5)[/tex]

[tex]=-4x^2+2x-3[/tex]

Hence, the simplified form of the expression [tex](3x^2+4x+2)-(7x^2+2x+5)[/tex] is [tex]-4x^2+2x-3[/tex].

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an automated weight monitor can detect underfilled cans of beverages with probability 0.98. what is the probability it fails to detect an underfilled can for the first time when it encounters the 10th underfilled can?

Answers

The probability it fails to detect an underfilled can for the first time when it encounters the 10th underfilled is [tex]0.01667496[/tex].

What is probability?

Probability is defined as the possibility of an event to occur.

An automated weight monitor can detect underfilled cans of beverages with probability [tex]0.98[/tex]

Thus probability of success will be [tex]p=0.98[/tex]

So probability of failure [tex]q=1-p=1-0.98=0.02[/tex]

To find the first wrong detection happening on the tenth trial the first nine trials must be success followed by failure in the tenth trial.

Thus, required probability [tex]=p^9q^1=(0.98)^9(0.02)=0.01667496[/tex]

Hence the probability it fails to detect an underfilled can for the first time when it encounters the 10th underfilled is [tex]0.01667496[/tex].

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Two large and 1 small pump can fill a swimming pool in 4 hours. One large and 3 small pumps can also fill the same swimming pool in 4 hours. How many hours will it take 4 large and 4 small pumps to fill the swimming pool?

Answers

Answer: It will take just 1 hour & 36 minutes with 4 large pumps & 4 small pumps

Step-by-step explanation:

4(8g+5)+6
I thought the answer was 32g+26 but its not on there

Answers

Answer:

32g + 6

(you got it right, not quite sure why it isn't there though!)

Step-by-step explanation:

remember PEMDAS

parentheses first

(8g+5) but we can't add them up since they not like terms

now we go from left to right (since we have Multiplication first and then Addition)

distribute the 4 to the (8g+5)

which makes it 32g +20

now we go back to the equation,

32g +20 + 6

are there any like terms we can combine?

yes, the 20 and the 6

20+6=26

leaving us with

32g + 26

If the point B (-1, -10) is reflected over the line y = x, the coordinates of B’ would be ________.

Answers

For the given points B(-1, -10) is reflected over the line y = x , the coordinates of B' is given by ( -10 , -1).

As given in the question,

Given points :

B (-1, -10)

Reflected over the line y = x

Reflected represents the transformation which shows the movement of original points to the new location. There are different types of transformation such as reflection, rotation, dilation , and translation.

Reflection represents the flipping of the points over the line y =x.

B(x, y) and B'(y, x).

For the given points B (x, y) = (-1,-10) is reflected over the line y =x , the coordinates of B'(y, x) = ( -10 , -1).

Therefore, for the given points B(-1, -10) is reflected over the line y = x , the coordinates of B' is given by ( -10 , -1).

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What is the length of the dotted line in the
diagram below? Round to the nearest
tenth.

Answers

Answer: Length = 10√2

Step-by-step explanation: You have to use the pythagorean theorem

As a Nurse, part of your daily duties is to mix medications in the proper proportions for your patients. For one of your regular patients, you always mix Medication A with Medication B in the same proportion. Last week, your patients doctor indicated that you should mix 130 milligrams of Medication A with 117 milligrams of Medication B. How many milligrams of Medication A should be mixed this week?

Answers

Answer:

60 milligrams of medication A should be used this week

Explanation:

Given:

Last week, 130 milligrams of Medication A was mixed with 117 milligrams of Medication B

This week, 54 milligrams of medication B was used

To find:

the milligrams for medication A used this week

To determine the milligrams of medication A used, we will apply the ratio of medication A to B

Last week:

A : B = 130 : 117

This week:

A : B = A : 54

[tex]\begin{gathered} eqating\text{ both ratios:} \\ A:B\text{ = A : }B \\ 130:\text{ 117 = A :}54 \\ \\ \frac{130}{117}=\text{ }\frac{A}{54} \\ cross\text{ multiply:} \\ 130(54)\text{ = 117\lparen A\rparen} \end{gathered}[/tex][tex]\begin{gathered} A=\text{ }\frac{130\times54}{117} \\ A=\text{ 60} \end{gathered}[/tex]

Hence, 60 milligrams of medication A should be used this week

3 XWhat is the value of x in the equation 4-- =O-32O-18O 18O 3224?

Answers

SOLUTION

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Write the given equation

[tex]-\frac{3}{4}=\frac{x}{24}[/tex]

STEP 2: Find the value of x

Cross multiply the equation

[tex]\begin{gathered} -3\times24=4\times x \\ -72=4x \end{gathered}[/tex]

Divide both sides by 4

[tex]\begin{gathered} -\frac{72}{4}=\frac{4x}{4} \\ -18=x \\ x=-18 \end{gathered}[/tex]

Hence, the value of x is -18

I need help can’t work out the right answer. What is the equation of the sinusoid shown in graph?

Answers

[tex]C)y=2cos\left(3x\right)[/tex]

1) The general form of a cosine function is:

[tex]y=acos\left(b\left(x-h\right)\right)+k[/tex]

2) Let's pick from the graph, the amplitude, the period, the horizontal and the vertical shift.

We can tell that half of the distance between the maximum point and the minimum point is 2

Let's find the period

[tex]P=\frac{2\pi}{\frac{2\pi}{3}}=2\pi *\frac{3}{2\pi}=3[/tex]

3) Let's resort to the picture. The only cosine function that has an amplitude of 2 and a period of 3 is C and y=2cos(3x) has a vertical shift =0

Identify the parameter you are trying to estimate for 90%

Answers

The parameter determines a time b plus a divided by that which give a percent

Write the equation of a line in slope intercept form that passes through (-15, 20) and is parallel to x - 5y = 5

Answers

First step is to write the equation in slope-intercept form

[tex]x - 5y = 5\\-5y = -x+5[/tex] To make simplification easier, multiply negative to both sides

[tex]5y = x-5\\[/tex] Now, you must divide 5 to both sides to isolate the variable

[tex]y = \frac{x}{5} - 1[/tex] To tell the slope more easily, turn [tex]\frac{x}{5}[/tex] into [tex]\frac{1}{5} x[/tex]

To rewrite the equation: [tex]y = \frac{1}{5} x - 1[/tex]

Now, you are able to see the slope(m) being [tex]\frac{1}{5}[/tex]

Next, you use the formula y=mx+b to solve for b (replace your newly found slope and points "x" and "y"

[tex]20 = (\frac{1}{5} *-15) + b\\20 = -3 + b\\b -3 = 20\\b = 23[/tex]

Final Answer: [tex]y = \frac{1}{5} + 23[/tex]

Hope this helps :)

Name the object below.
Thank you :’)

Answers

Answer:

The answer is option A.

i-Ready
Dilations and Similarity -
-
Figure LMNO is dilated to form figure L'M'NO'.
Where is the center of dilation located?

on a vertex of figure LMNO

What is the scale factor of the dilation?

pls help quickly;;;

Answers

The location of the center of dilation in the figure and the image formed following the dilation is the point N

The scale factor of the dilation is 0.5

What is a dilation transformation?

A dilation transformation resizes an object such that the lengths of the sides of the image (the object formed) following the dilation of the original image has sides that are a constant multiple of the side lengths of the original object.

The center of dilation is a reference and fixed point, such that the center of is in the same location relative to the preimage and the image.

The location or point shared by both the figure LMNO and the image of LMNO formed following the dilation, which is figure L'M'N'O' is the point N.

Therefore;

The center of dilation is the point N

The scale factor of the dilation is found using the definition of a scale factor, which is the ratio of the scale of a new figure to the scale of an original figure, therefore:

[tex]The \ scale \ factor,\, s.f. = \mathrm{\dfrac{Length \ of \ the \ sides \ of \ L'M'N'O'}{Length \ of \ the \ sides \ of \ LMNO}}[/tex]

MN = 6 units

LO = 6 units

ML = ON = √(6² + 2²) = 2·√(10)

M'N' = L'O' = 3 units

M'L' = O'N' = √(3² + 1²) = √(10)

Which gives:

[tex]s.f. = \dfrac{M'L'}{ML} =\dfrac{\sqrt{10} }{2 \cdot \sqrt{10} } = \dfrac{1}{2}=0.5[/tex]

The scale factor of the dilation is, s.f. = 0.5

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“Order these numbers from smallest to largest: 2/3, 7/8, 0.5, 2/5. Justify your answer”

Answers

Step 1

Given

[tex]\frac{2}{3},\frac{7}{8},\frac{1}{2}\text{ and }\frac{2}{5}[/tex]

Required: To arrange them from smallest to largest.

Note: 0.5 = 1/2

Step 2

Find the lowest common multiple of the numbers in the denominator : 3,8,2 and 5

Hence, the lowest common multiple will be

[tex]2\times2\times2\times3\times5\text{ = 120}[/tex]

Step 3

Use the LCM to arrange the numbers as seen below

From the numbers gotten from using the LCM, we can now conclude

Step 4

Arrange them from smallest to largest

[tex]\begin{gathered} \text{From the size of the numbers related to the image above,} \\ 80->\frac{2}{3},\text{ 105}\to\frac{7}{8},\text{ 60}\to\frac{1}{2},\text{ 48}\to\frac{2}{5} \end{gathered}[/tex]

We can arrange them as follows

[tex]\frac{2}{5},\frac{1}{2},\frac{2}{3},\frac{7}{8}[/tex]

Malika buys 20 bottles of cranberry juice at the corner store for a total cost of $20. If each bottle costs the same amount, how much is each bottle of juice?

Answers

Answer: 1 dollar per bottle

Step-by-step explanation:

If they cost $20 and she bought 20 bottles, we can use division.

$20 / 20 bottles = 1 dollar per bottle

The gumball machine contains 9 red,7 white and 8 blue gumballs. find the least number of gumball a person must buy to be sure that she gets 4 gumballs that are the same color.

Answers

The person must buy 10 gumballs so that she gets 4 gumballs that are the same color.

Given, gumball machine contains 9 red gumballs

7 white gumballs and

8 blue gumballs.

we are asked to determine the least number of gumball a person must buy to be sure that she gets 4 gumballs that are the same color.

If a person gets three gumballs of each of the three colors, that is, 9 gumballs, then the 10th gumball must be the fourth one for one of the colors. Therefore, the person must buy 10 gumballs.

Hence 10 gumballs should be purchased.

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A 20-ounce bottle of lotion costs $3.95. How much does each ounce cost?

Answers

A 20-ounce bottle of lotion costs $3.95 then each of the ounce of the bottle will cost 0.173 ounce.

How can the cost of each of the bottle of lotion be calculated?

we were told that the cost of the 20-ounce bottle of lotion is $3.95

then we can know the value cost of just one of the bottle of notion by using the expression below

X = the cost of each of the bottle of lotion

then X= $3.95 / 20-ounce bottle= 0.173 ounce