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Vikki [24]
4 years ago
6

12) m 1) MZHGF = 16x + 4, mZEGF= 110°, and mZHGE = 3x + 11. Find x. G H

Mathematics
1 answer:
GREYUIT [131]4 years ago
5 0

Answer:

5 = x

Step-by-step explanation:

Since we are not given a midpoint, we use the Angle Addition Postulate:

110 = [3x + 11] + [16x + 4]

110 = 15 + 19x

- 15 - 15

_______________

95 = 19x

___ ___

19 19

5 = x

110 = [3[5] + 11] + [16[5] + 4]

15 80

110 = 110 ☑

Therefore, 5 = xis a genuine statement.

I am joyous to assist you anytime.

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goblinko [34]
Simplify 7x + 2y = -23 Solving 7x + 2y = -23 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2y' to each side of the equation. 7x + 2y + -2y = -23 + -2y Combine like terms: 2y + -2y = 0 7x + 0 = -23 + -2y 7x = -23 + -2y Divide each side by '7'. x = -3.285714286 + -0.2857142857y Simplifying x = -3.285714286 + -0.2857142857y

5 0
3 years ago
Linda commutes a total of 54 miles to and from work every day. She needs a new car, and good gas mileage is important to her. Sh
joja [24]

Answer:

she would save 1.1 extra gallons

Step-by-step explanation:

54 miles to work

30 miles a gallon so 1.8 gallons to get to work

27 miles a gallon so 2 gallons to get to work

30 miles car saves 5.4 miles more each day she drives to work

5.4 X  5 = 27 extra miles so 1.1 gallons she would be saving each work week

5 0
3 years ago
Use slopes and y-intercepts to determine if the lines y=5x+5 and 5x−y=−5 are parallel.
GalinKa [24]

Answer: They are not parallel, they are coincident

Step-by-step explanation:

If two lines have the same slope but a different y-intercept, the lines are parallel. If two lines have the same slope and the same y-intercept, the lines are coincident.

We can rewrite 5x−y=−5 adding -5x to both sides and multiplying by -1:

5x - y =-5

5x - y -5x = -5 - 5x (adding -5x to both sides)

-y = -5 - 5x

Multiplying by -1

y = 5x + 5

Both equations look the same so they are coincident. They have the same intercept y=5 and the same slope m=5.

7 0
4 years ago
What is an equation of the line that passes through the point (-6, 1) and has a slope of 3?
AlladinOne [14]
Y= mx +b ; x is the slope and y is the y-intercept.

So in this case, our equation will be y= 3x + 19 :) 
8 0
3 years ago
PLZ SOLVE THIS FOR ME!!!!!!!
Kisachek [45]

Answer:

31.06

Step-by-step explanation:

155.3/5

31.06

5 0
3 years ago
Read 2 more answers
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