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Vikki [24]
3 years ago
6

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

Mathematics
1 answer:
GREYUIT [131]3 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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Solve for y.<br><br> –5(y − 3) − 10 = –6y<br><br> y =
Naya [18.7K]

Answer:

y =  - 5

Step-by-step explanation:

- 5(y - 3) - 10 =  - 6y

➡️ - 5y + 15 - 10 =  - 6y

➡️ - 5y + 5 =  - 6y

➡️ - 5y + 6y =  - 5

➡️ y =  - 5

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3 years ago
9.<br> The original cost of a lamp is $18.95. The lamp is on sale for 25% off. How much will you pay
daser333 [38]

Answer:

$14.21

Step-by-step explanation:

To find 25% of 18.95, you can multiply 18.95×0.25, which approximately equals $4.74. Then subtract $4.74 from $18.95 to get $14.21

8 0
3 years ago
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Please help, I’m being timer
olga_2 [115]

Answer:

CB=18

And the measure of angle BDA is 21 degrees

Step-by-step explanation:

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3 years ago
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What is the answer?
ValentinkaMS [17]

Answer:

D

Step-by-step explanation:

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8 0
2 years ago
I can’t understand 21-23 can someone solve or explain them please (geometry)
k0ka [10]
21. <DBE and <ABE are both equal halves of <ABD, so in this case, m<ABE = m<DBE, so all you have to do is solve the equation:

6x + 2 = 8x - 14
add 14 to both sides, subtract 6x from both sides.
16 = 2x
Divide both sides by two. The solution is x = 8. To find m<ABE, replace x with 2, so your final answer is 14. m<ABE = 14

22. From what we know from 21, m<ABE = m<EBD, so keep that in mind. We still have to solve for m<EBD. Since one line is 180 degrees, we are able to write out this equation using the information given:

180 = 9x - 1 (m<ABE) + 9x - 1 (m<EBD) + 24x + 14 (m<DBC)
simplify this:
180 = 12 + 42x
subtract 12 from both sides, then divide by 42.
4 = x
Now we plug this in.
4 × 9 = 36. 36 - 1 = 35.
m<EBD = 35

23. From the past two equations, we know m<ABE consistently equals m<EBD. This means that, if they are bisectors of a right angle, they both equal 45 degrees. here is our equation:

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3 years ago
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