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3 years ago

-4x = -1/2(10x + 18)

Mathematics

1 answer:

frosja888 [35]3 years ago

5 0

Answer:

x = -9

Step-by-step explanation:

-4x = -1/2(10x + 18)

Distribute

-4x= - 5x -9

Add 5x to each side

-4x+5x = -5x+5x -9

x = -9

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In parallelogram DEFG, DH = x + 5, HF = 2y, GH = 4x-3 and HE = 4y + 1. Find the values of x and y. The diagram is not drawn to s

GalinKa [24]

Rule: The diagonals of any parallelogram bisect each other. In other words, they cut each other in half.

This means DF is cut into two equal pieces: DH and HF.
Similarly, GE is cut into two equal pieces: GH and HE.

DH = HF
x+5 = 2y
x = 2y-5

GH = HE
4x-3 = 4y+1
4(x)-3 = 4y+1
4(2y-5)-3 = 4y+1 ... x has been replaced with 2y-5
8y-20-3 = 4y+1
8y-23 = 4y+1
8y-4y = 1+23
4y = 24
y = 6

If y = 6, then x is
x = 2y-5
x = 2(6)-5
x = 12-5
x = 7

--------------------------------------------

Answers:
x = 7 and y = 6

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3 years ago

Is this a right triangle?<br>Use the Pythagorean Theorem to find out! [picture above]

S_A_V [24]

No, 10^2 + 14^2 ≠ 18^2

8 0

4 years ago

To estimate his travel time, Joe divides the distance, d, in miles by 5 less than his expected average speed, in miles per hour.

jenyasd209 [6]

310 / 75-5 = 4.42 or 4.4 hours. Let me know if you have any other questions.

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3 years ago

Read 2 more answers

Help me ASAP........

jekas [21]

Answers:

9). 45/9 = 5

10). 2 *14² = 2* 196 = 392

11). 5 * 12 * 7 = 60 * 7 = 420

12). 1/2 * 9 * 12 = 54

13).1/2(24)(9 + 21) = 12 * 30 = 360

14). 14 * 13 = 182

15). 16 * 8 * 5 = 640

16). 75/5 = 15

17). 2(5²) = 2 * 25 = 50

18). 8(2.5 + 4.2) = 8 * 6.7 = 53.6

19). 1/2(3)(5 + 6) = 33/2 = 16.5

20). 3.14(6²) = 3.14 * 36 = 113.04

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3 years ago

Read 2 more answers

The slope of a line passing through H (-2, 5) is -3/4. Which ordered pair represents a point on this line?

oksano4ka [1.4K]

Answer:
(6,-1)

Explanation:
The slope of the line can be calculated using the following formula:
slope = $\frac{y2-y1}{x2-x1}$

We are given that:
slope = -0.75
point (x1,y1) is (-2,5)

We will use each of the given points to calculate the corresponding slope, then compare the calculated slope with the given one.

For point (6,-1):
slope = $\frac{-1-5}{6--2}$ = -0.75 ........> accepted choice

For point (2,8):
slope = $\frac{8-5}{2--2}$ = 0.75 ........> rejected choice

For point (-5,1):
slope = $\frac{1-5}{-5--2}$ = 4/3 ........> rejected choice

For point (1,1):
slope = $\frac{1-5}{1--2}$ = -4/3 ........> rejected choice

Therefore, the first option is the only correct one.

Hope this helps :)

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3 years ago