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Luden [163]
3 years ago
8

In parallelogram EFGH, the measure of angle G is (4x + 16)° and the measure of angle H is (2x − 16)°. What is the measure of ang

le H?
32°
44°
88°
136°
Mathematics
1 answer:
asambeis [7]3 years ago
4 0

Answer:

m∠H = 44°

Step-by-step explanation:

Consecutive angles of a parallelogram are supplementary.  So,

∠H and ∠G are supplementary

4x + 16 + 2x - 16 = 180

6x = 180

x = 30

m∠H = 2x - 16 = 2(30) - 16 = 60 - 16 = 44°

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15 – 4(x – 3) = 5x + 9<br> I need the answer with work shown
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Vadim26 [7]
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Andrej [43]

The proportionality constant of the given graph is k = 16.

<h3>How to find the proportionality constant of a graph?</h3>

The proportionality constant of a graph is the ratio of the y-coordinates to the x-coordinates.

Thus, it is written as k = y1/x1 = x2/y2 = ... = yn/xn

<h3>Calculation:</h3>

The given graph has the coordinates as

x = 0; y = 0 i.e., (0, 0)

x = 0.5; y = 8 i.e., (0.5, 8)

x = 1; y = 16 i.e., (1, 16)

x = 1.5; y = 24 i.e., (1.5, 24)

and so on.

Then, the ratio of y - coordinate to the x - coordinate is

k = 8/0.5 = 16

or

k = 16/1 = 16

or

k = 24/1.5 = 16

and so on.

So, the proportionality constant for the given graph is k = 16.

Learn more about the proportionality constant here:

brainly.com/question/1835116

#SPJ1

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1 year ago
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