unit 5 relationships in triangles homework 1 triangle midsegments

Answer:

[tex]\frac{ad}{bd} + \frac{cb}{bd}[/tex]

Step-by-step explanation:

[tex]\frac{a}{b} + \frac{c}{d}[/tex]                          

[tex]\frac{ad}{bd} + \frac{cb}{bd}[/tex]                  Multiply  by the LCD (bd)

Answer:

x+2y = 5

2x+y=4

->

x+3y = 5

6x-y = 11

->

2x+y=10

x-3y=-2

Step-by-step explanation:

solutions of x and y for each system of equation can be solved by graphing

graph the two equations, and the intercepts of the two equations would be the x and y-values, aka the answers

if there are no intercepts, the equations have no solution

Answer:

15x/2*4

Step-by-step explanation:

15% of 850 is 127.5 and therefore the laptop would be reduced by 127.50

The sale price of the laptop is 722.50

Answer:

Ralph's speed is 2 miles in 24 minutes.

(Unit rate, Ralph runs 1 mile in 12 minutes)

Step-by-step explanation:

4 divided by 2 is 2 (miles)

2/5 of an hour is 24 minutes (60/5=12+12=24)

Answer:

c = 28.26 cm

Step-by-step explanation:

equation for circumference of a circle is 2πr

r = d/2 so here r = 9/2 = 4.5

2 x 3.14 x 4.5 = 28.26

Answer:

C ≈ 28.26 cm

Step-by-step explanation:

The circumference (C) is calculated as

C = πd ( d is the diameter ) , then

C = π × 9 ≈ 3.14 × 9 = 28.26 cm ( to the nearest hundredth )

10

Step-by-step explanation:

I think it's 10 my bad if I'm wrong

Answer:

the range is 66 to 70 since it can be 2 degrees in either direction

The range of possible temperatures is 66 to 70°F.

It is required to find the range of possible temperatures.

The degree or intensity of heat present in a substance or object, especially as expressed according to a comparative scale and shown by a thermometer or perceived by touch.

Given:

The thermostat for a house is set to 68 °F, but the actual temperature may vary by as much as 2 °F.

According to given question we have,

∴The range is 66 to 70 °F since it can be 2 degrees in either direction.

Therefore, the range of possible temperatures is 66 to 70°F.

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[tex](x-4)(x-3) =0\\\\\implies x-4 = 0~~ \text{ or}~~ x - 3 = 0\\\\\implies x = 4~~ \text{or}~~ x = 3[/tex]

Answer:

  no

Step-by-step explanation:

In terms of area per hour, Bob's works at the rate of ...

  1460 ft²/(4 h) = 365 ft²/h

Rhonda's rate is ...

  753 ft²/(1.5 h) = 502 ft²/h

The rates are different, so they are not proportional.

___

Additional comment

Toni's rate is 803 ft²/(2.2 h) = 365 ft²/h . . . the same as Bob's

Bob's and Toni's rates are proportional.

Answer:

-3/2 or -1 1/2

Step-by-step explanation:

The slope, plugging into the equation (y_2-y_1)/(x_2-x_1) would be -5 + 2 / -1 + 3, or -3/2, which can also be - 1 1/2

Answer:

-3/2

Step-by-step explanation:

slope ('m') formula:  (difference of the y-values) ÷ (difference of the x-values)

m = -2-(-5) ÷ -3-(-1)

m = 3 ÷ -2

slope = -3/2

Answer:

The answer is C! :) hope that helps haha

Answer:

8/15

Step-by-step explanation:

hope this helps!!! :D

Answer: 8/15

Step-by-step explanation: Tangent is opposite/adjacent

The hypotenuse, the longest side of a triangle which is 17. The adjacent side is the second longest which is 15. And the opposite is the shortest or the base of a triangle which is 8.

For the future, remember these:

Sin = opposite/hypotenuse

Cos = adjacent/hypotenuse

Tan = opposite/adjacent

Therefore, tan is 8/15.

Hope this helps.

Answer: Darren got 75% of the questions correct.

Step-by-step explanation:

To find the percentage of questions Darren got correct, we can divide the questions he got correct by the total number of questions.

42 ÷ 56 = 0.75

0.75 X 100 = 75

So, Darren got 75% of the questions correct.

Answer:

Try subtracting 9 from 7 to find the value.

Step-by-step explanation:

Answer:

First of all not a math question but wtv

the answer is C since where the story takes place affects what the characters do

Hope This Helps!!!

Answer:

= 59.36

Step-by-step explanation:

S = 207

so, tan(16) = H/S

tan(16°) = 0.28674539

so H = tan(16) * S = 0.28674539 * 207 = 59.35629573

so the tree high = 59.36 foot

Answer:

72

Step-by-step explanation:

I this problem I'm sure you're supposed to multiply: 24 x 3 = 72

hopefully this helped :)

Answer:

15

Step-by-step explanation:

3 times 5 is 15

Answer:

it either has a postive slope (when lines go uphill from left to right)

a negative slope (when lines go downhill from left to right)

a zero slope (when lines are horizontal)

or a undefined slope (when lines are vertical)

Step-by-step explanation:

hope this helps

Answer:

a negative slope of -2

Explanation:

slope = (y2-y1)/(x2-x1)

points (1,1) (0,3)

x1 = 0 y1 = 3

x2 = 1 y2 = 1

(1-3)/(1-0) = -2/1 = -2

Answer:

1 -5

don't know the answer of q2 and q3

Answer: 37,007 is greater

Step-by-step explanation:

Can i get a brainliest

Answer:

37,007 is greater than 30,707

Step-by-step explanation:

Thats because as you can see reading the numbers left to right, the first ones on the far left are both 3s. so so far they're the same. then go to the second number, making sure you're moving left to right. 7 is more than 0 therefor 37,007 is greater than 30,707

The range for the measure of the third side of the triangle is (5, 38).

A triangle is a geometric figure with three edges, three angles and three vertices. It is a basic figure in geometry.

The sum of the angles of a triangle is always 180°

Given that,

Two sides of the triangle are 18 ft and 23 ft.

Let the third side of the triangle is x cm.

Since, the third side is greater than the difference of the remaining sides and less than the sum of the two sides.

Implies that,

23 - 18 < x < 23 + 18

5 < x < 38

The range of the third side varies from (5, 38).

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Answer:

Step-by-step explanation:

21 percent of 6600 is 1386.

I'm sorry if I'm wrong.

Answer:

The domain of a function f(x) is the set of all values for which the function is defined, and the range of the function is the set of all values that f takes. They may also have been called the input and output of the function.)

Answer: ≥ without the line on the bottom.

Step-by-step explanation:

I am assuming the expression you are talking about are

[tex]3w^{2} +1[/tex] and [tex]10w+8[/tex].

If we were to replace w with 4 and calculate, we will find the answer:

[tex]3*4^{2} +1=3*16+1=48+1=49[/tex]

[tex]10*4+8=40+8=48[/tex]

Since the first expression, [tex]3w^{2} +1[/tex], is bigger than the second expression, the correct symbol to use is ≥ without the line on the bottom.

Answer:

u= 6, -6

Step-by-step explanation:

simplify the equation. Isolate the variable.

Hey there!

(u + 6)(u − 6) = 0

DISTRIBUTE “u” WITHIN the PARENTHESES

u(u) + (-6) + 6(u) + 6(-6) = 0

u^2 - 6u + 6u - 36 = 0

COMBINE the LIKE TERMS

u^2 - 36 = 0

ADD 36 to BOTH SIDES

u^2 - 36 + 36 = 0 + 36

CANCEL out: -36 + 36 because it gives you 0

KEEP: 0 + 36 because it helps solve for the u-value

NEW EQUATION: u^2 = 0 + 36

SIMPLIFY IT!

0 + 36 = 36

NEW EQUATION: u^2 = 36

TAKE the SQUARE ROOT

u = ± √36

u = -6 or u = 6

Therefore, your answer is: u = 6 or u = -6

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer: 120

Step-by-step explanation:

first you distribute 5 to 11 and -17 to get (55 - 85) then you distribute 6 to 14 and -7 to now get (55-85) + (84-42) then you distribute -12 to 2 and 7 to now have (55-85) + (84-42) - ( -24 + -84) to get 120 you multiple when you distruibute for these cause its outside the parenthesis so you multiply the number by everything in the parenthesis