Answer:
x = 60 degrees, y = 120 degrees, z = 30 degrees
Step-by-step explanation:
To solve this problem, we must first recognize that the triangle on the left is an equilateral triangle. This means that all of its side lengths are equal, which in turn means that all of its angles have the same measure. Since we know the sum of the interior angles of a triangle must be 180, we can write and solve the following:
x + x + x = 180
3x = 180
x = 60 degrees
Next, we should notice that one of the 60 degree angles is supplementary with angle y, which means that their sum should equal 180 degrees. This lets us write the following equation:
y + 60 = 180
When we subtract 60 from both sides to solve, we get:
y = 120 degrees
Finally, we should notice that the triangle on the right is isosceles. This means that two of the side lengths (and thus two of the angles) are equal. This means that the unmarked angle must also measure z degrees since the side lengths corresponding to these two side lengths are equal. From this information we can write the following equation:
y + z + z = 180
If we substitute the value for y and solve, we get:
120 + 2z = 180
2z = 60
z = 30 degrees
Therefore, the correct answer is x = 60 degrees, y = 120 degrees, and z = 30 degrees.
Hope this helps!
What is the factorization of the expression below?
25x^2 - 36
A. (5x+6)(5x-6)
B. (5x-6)(5x-6)
C. (5x- 4)(5x-9)
D. (5x + 4)(5x-9)
Answer: The answer is A, (5x+6)(5x-6)
Step-by-step explanation: The negative and positive 6 will cancel out the regular X, meaning that 25x^2 and -36 are the only numbers left.
kala needs to make a total of 80 deliveries this week. So far she has completed 28 of them. What percentage of her total deliveries has kala completed?
Answer:
35 %
Step-by-step explanation:
50 % of 80 is 40 so 28% of 80 is 35%
if you just divide 80 by 28 you will get 35.
A patient is placed in an elliptical tank that is 178 centimeters long and 102 centimeters wide to undergo sound wave lithotripsy treatment for kidney stones. Determine where the sound emitter and the stone should be positioned relative to the center of the tank
Complete Question
The diagram for this question is shown on the first uploaded image
Answer:
The position of the emitter is [tex]E = + 72.9 \ cm\ from\ the\ center [/tex]
The position of the stone is [tex]S = - 72.9 \ cm\ from\ the\ center [/tex]
Step-by-step explanation:
From the question we are told that
The length is l = 178 cm
The width is w = 102 cm
Generally the position of the stone along the horizontal axis is mathematically evaluated as
[tex]h = \frac{178}{2}[/tex]
=> [tex]h = 89 \ cm [/tex]
Generally the position of the emitter along the vertical axis is mathematically evaluated as
[tex]k = \frac{102}{2}[/tex]
=> [tex]k = 51 \ cm [/tex]
Generally the resultant position of both stone and the emitter is
[tex]R = \pm \sqrt{h^ 2 - k^2}[/tex]
=> [tex]R = \pm \sqrt{89^ 2 - 51^2}[/tex]
=> [tex]R = \pm 72.9 \ cm [/tex]
Hence the position of the emitter is [tex]E = + 72.9 \ cm[/tex]
the position of the stone is [tex]S = - 72.9 \ cm[/tex]
-2(x -3) what number should be distributed
Answer:
-2
Step-by-step explanation:
-2 needs to be distributed to the rest of the equation so that gives you -2x+6
Round 15.78947368 to two decimal
Places
Pls pls helppp
Answer:
= 15.79
Step-by-step explanation:
Find the number in the hundredth place (8) and look one place to the right for the rounding digit (9). Round up if this number is greater than or equal to 5 and round down if it is less than 5.
The given number i.e. 15.78947368 rounded to two decimal places is 15.79.
Given that,
The given number is 15.78947368.Here we have to rounded in 2 decimal places.Based on the above information, the calculation is as follows:
Here we have to check whether the digit is below 5 or above. If is above so the next number should be rounded.
Like 15.789
Here 8 is greater than 5
So for two decimals it is 15.79.
Therefore we can conclude that the given number i.e. 15.78947368 rounded to two decimal places is 15.79.
Learn more: brainly.com/question/13549064
Movie Mania requires customers to pay a sign-up fee of $20, and charges $4.00 to rent a DVD. Hurricane Video is free to join, but DVDs cost $6.00 to rent. Write and solve an equation to find the number of DVDs you would have to rent in order for both stores to charge the same. Explain what your variable represents.Movie Mania requires customers to pay a sign-up fee of $20, and charges $4.00 to rent a DVD. Hurricane Video is free to join, but DVDs cost $6.00 to rent. Write and solve an equation to find the number of DVDs you would have to rent in order for both stores to charge the same. Explain what your variable represents.
Answer:
10
Step-by-step explanation:
For movie mania:
Sign-up fee = $ 20
Rent for 1 DVD = $ 4.00
For Hurricane video:
Sign-up fee = 0
Rent of 1 DVD = $ 6.
Let [tex]n[/tex] be the number of DVDs to rent in order for both stores to charge the same.
For movie mania, charge to rent [tex]n[/tex] DVDs = Sign-up fee + rent of [tex]n[/tex] DVDs
=20+4n
For Hurricane movie, charge to rent [tex]n[/tex] DVDs = Sign-up fee + rent of [tex]n[/tex] DVDs
=0+6n=6n
Now, for both stores to charge the same, both the charges must be equal, we have
6n=20+4n
[tex]\Rightarrow 6n-4n=20[/tex]
[tex]\Righatarroe 2n=20[/tex]
[tex]\Rightarrow n =20/2=10[/tex]
Hence, the required number of DVDs to rent is 10 in order for both stores to charge the same.
what do reflections have that dilation do not
Answer:
A reflection is the same just on the opposite side a dilation enlarges or enhances it along with flipping it thats what makes them different please give me brainliest.
What’s the surface area to these 2 pls help me
Answer:
the answer is 40
Step-by-step explanation:
its simple try and do the link that I put you'll understand how to do this better
Which expression converts 100 inches per minute to feet per minute?
StartFraction 100 inches Over 1 minute EndFraction × StartFraction 60 minutes Over 1 hour EndFraction
StartFraction 100 inches Over 1 minute EndFraction × StartFraction 1 hour Over 60 minutes EndFraction
100 inches Over 1 minute times × StartFraction 1 foot Over 12 inches EndFraction
100 inches Over 1 minute times × StartFraction 12 inches Over 1 foot EndFraction
Answer:
100 inches Over 1 minute times × 1 foot Over 12 inches
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
-x + 7 <10
Solving inequalities
Answer:
x>-3
Step-by-step explanation:
−x+7<10
Step 1: Subtract 7 from both sides.
−x+7−7<10−7
−x<3
Step 2: Divide both sides by -1.
−x−1<3-1
x>−3
1/9 of 54 bottles of water = ? bottles
Answer:
6
Step-by-step explanation:
If you divide 54 in 9 parts it will come out to 6, to check this work divide 54 by 6.
6
Step-by-step explanation:
First you would turn it into a decimal to get .111 repeating then you would multiple it by 54 to get 5.99 repeating do you would round up to get 6
Look at the table. Bob ran 3 miles in 18 minutes. Complete the table:
Answer:
First one, Third one, Fifth one, and the last one too.
Step-by-step explanation:
Answer:
Step-by-step explanation:
First, make a ratio:
18 min/ 3mile = 6 min/mile
now multiply to finish the table:
1: 6
3: 18
5: 30
10: 60
25: 150
The temperature at 6:00 am in New York was -7 °C. At 2:00 pm the
temperature in New York was 7 °C. What was the change in the temperature
temperature?
Answer
10 degrees c
Step-by-step explanation:
b)
2x-5=2(x-1)
Ayuda
Help mePLEASE please
Answer:
use snipping tool
Step-by-step explanation:
next time, screenshot it. taking a picture of a screen makes the picture look bad. you can use the Windoes snipping tool for that.
the length of the swimming pool is 8 m longer than its width and the area is 105 m squared write in quadratic equation
Answer:
Step-by-step explanation:
The length of the swimming pool is 8m longer than it's width.
If we say L = length, W = width
From the information above, we can say
L= 8 + w
We are also told the area is 105 m squared.
Note:
Area of a Rectangle = Length x Width
105 = (8 + w ) x w
[tex]105 = 8w + w^2\\[/tex]
Subtract 105 from both sides:
[tex]w^2 + 8w - 105 = 0[/tex]
b) Simplify 2-(3-a) = -4
Answer:
-1+a
Step-by-step explanation:
2-(3-a) = (2-3-(-a)) = -1+a
Answer:
a=-3
Step-by-step explanation:
First off subtract 2 from both sides:
-(3-a)=-6
Then distribute the negative:
-3+a=-6
Finally add 3 to both sides:
a=-3
tadah!!
Hope that helps.
Triangle ABC has vertices A (1,1) B (7,1) C (4,9) (A)Find the perimeter of triangle ABC. (B) Find the area of triangle ABC
9514 1404 393
Answer:
perimeter = 6+2√73 ≈ 23.09 unitsarea = 24 units²Step-by-step explanation:
It can help to draw a figure.
The altitude of this isosceles triangle is 8 units, and it splits the base into equal lengths of 3 units. Using the Pythagorean theorem, we find the length of a side to be ...
BC = AC = √(3² +8²) = √73
The perimeter is the sum of the lengths of those two sides and the base:
P = 2(√73) +6 ≈ 23.088 . . . units
The area is given by the formula ...
A = 1/2bh
A = (1/2)(6 units)(8 untis) = 24 units²
__
The perimeter is 6+2√73 ≈ 23.09 units.
The area is 24 units².
what is the average rate of change for the line graphed in the figure above
Answer:
5/8
Step-by-step explanation:
I used the slope formula of y2-y1/x2-x1
3x + 2y + z = 7 2x + 3y - z = 8 5x + y + 2z = 11
Answer:
x = 3, y = 0, z = −2
Step-by-step explanation:
Complete the square to write 16t² - 96t + 48 = 0
Answer:
first part:
(t-3)^2=6
second part:
0.55
5.45
Step-by-step explanation:
answer on edge uity
Complete square form of the equation 16t² - 96t + 48 = 0 is (t -3)² = 6.
What is a quadratic equation?A quadratic equation is an equation of second order. Quad implies the square power, it is also called equation of degree 2.
The standard form of a quadratic equation is ax² + bx + c = 0.
Where a, b and c are constants.
The given quadratic equation is,
16t² - 96t + 48 = 0
To find the square for the quadratic equation,
Simplify the quadratic equation,
16(t² - 6t + 3 ) = 0
Add 96 in whole equation,
16(t² - 6t + 3 + 6) = 16 x 6
16(t² - 6t + 9) = 96
t² - 6t + 9 = 96 /16
t² - 6t + 9 = 6
(t -3)² = 6
The required square form of the equation is (t -3)² = 6.
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dose anybody know this? could you provide the step by step
Slope 6, passing through (-4,2)
Select each polynomial expression that could be factored by grouping.
Answer:
The 2nd and 3rd option
Step-by-step explanation:
They can be separated into 2 pairs and factored
if X = 5 then 3( 2X - 4) - X
Answer:
13
Step-by-step explanation:
Answer:
well if you're looking for the answer, it is: 13
Step-by-step explanation:
what is 7/8 times 3 1/4
Answer:
hi friend , your answer would be 7/8 x 3 1/4 = 91 /32 in fraction form.
Step-by-step explanation:
so friend here is my explanation :
now you can see you are multiplying with a mixed fraction .
so :
convert the mixed fraction into improperto convert into improper fraction , you have to :denominator x whole no . part + numerator 4 x 3 + 1 = 13 / 4 now you multiply 7/ 8 x 13/491 / 32 now convert this to mixed fraction because it is in improper form that will be 2 27 / 32hope this helps , pls mark as brainliest .
The value of 7/8 times 3 [tex]\frac{1}{4}[/tex] is 91 /32.
What is multiplication?Multiplication is mathematical arithmetic operation. It is also a process of adding same types of expression to some number of times.
Example - 2 × 3 means 2 is added three times or 3 is added 2 times.
Given that the expression is 7/8 times 3 [tex]\frac{1}{4}[/tex].
Here we are multiplying fraction to mixed fraction.
We will convert mixed fraction to improper fraction.
To convert into improper fraction,
we will use the formula;
fractional number = denominator x whole no . part + numerator
numerator part of fractional number = 4 ×3 +1 = 13
Now we have 13/4
Multiply 7/ 8 x 13/4 = 91 / 32
Therefore , the 7/8 times 3 [tex]\frac{1}{4}[/tex] is 91/32.
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A movie club charges a one-time
membership fee of $30. It allows
members to purchase movies for $7
each. Another club does not charge
a membership fee and sells movies
for $12 each. How many movies
must a member purchase for the
total cost of the two clubs to be the
same? Write an equation, and solve
the equation to determine the
solution.
Answer:
Step-by-step explanation:
Club A charges $30 membership fee and charges $7 for each movie.
You can write this as :
A = 30 + 7m (where m = number of movies)
Club B charges no membership fee and it costs $12 for each movie.
B = 12m
If we want to find how many movies a member must purchase for the total cost of the two clubs to be the same, this means we are trying to solve for "m" (number of movies) when A = B.
30 + 7m = 12m
Now you can just subtract 7m from both sides.
30 = 5m
Divide both sides by 5 to find "m'.
m = 30/5 = 6
Therefore a member must purchase 6 movies
can u guys help with my one question i have left
Answer:
Weeks in a Year. A normal year has 365 days, which is 52 Weeks and 1 Day. A leap year has 366 days, which is 52 .
Step-by-step explanation:
hope this helps :)
Answer:
I think 6
Step-by-step explanation:
365/12=30.42
30.42/5= 6.08
find the length indicated
Answer:
ST = 5
Step-by-step explanation:
RT = 7
Subtract the RS, which is 2.
You get, ST = 5.
If 72 is 9 times larger than 8, which statement below is true?
A) 8 is 72 times larger than 9
B) 72 is 8 times larger than 9
C) 9 is 8 times larger than 72
D) 8 is 9 times larger than 72