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mrs_skeptik [129]
3 years ago
11

Angle GHI and angle JHI are supplementary. Angle GHI measures (28x + 40)° and angle JHI measures (7x)°. What is the measure of a

ngle JHI?
Mathematics
2 answers:
Salsk061 [2.6K]3 years ago
8 0
Its 28 degrees. the equation is 28x+40+7x=180
after u figure that out you should get x=4 but its 7x so you do 7×4 which is 28
muminat3 years ago
4 0

Two angles are supplementary if their sum is 180 degrees.

Here we are given:

Angle GHI measures (28x + 40)° and angle JHI measures (7x)°.

Sum of angle GHI and JHI is 180.

angle GHI + angle JHI = 180

(28x + 40) + (7x) = 180

35x = 140

dividing both sides by 35,

x=4

Now let us find angle JHI

angle JHI = 7x = 7*4 =28

Answer : Angle JHI is 28 degrees.


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Answer:

<u>Third Option</u>: y = \frac{5}{4}x

Step-by-step explanation:

Given the points on the graph, (4, 5) and (-4, -5):

In order to determine the equation of the given graph in slope-intercept form, y = mx + b:

Use the given points to solve for the slope:

Let (x₁, y₁) = (-4, -5)

(x₂, y₂) = (4, 5)

m = (y₂ - y₁)/(x₂ - x₁)

m = \frac{5 - (5)}{4 - (-4)}  = \frac{5 + 5}{4 + 4}  = \frac{10}{8} = \frac{5}{4}

Therefore, the slope of the line is: m = \frac{5}{4}.

Next, use one of the given points on the graph, (4, 5) to solve for the y-intercept, b:

y = mx + b

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5 = 5 + b

5 - 5 = 5 - 5 + b

0 = b

Therefore, the linear equation in slope-intercept form is: y = \frac{5}{4}x.  The correct answer is Option 3.

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