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Mekhanik [1.2K]
3 years ago
5

In the diagram, ray GH bisects <FGI.

Mathematics
2 answers:
Ymorist [56]3 years ago
6 0

Part a.

An angle bisector divides the angle into two congruent angles.

m<FGH = m<HGI

2x - 4 = 3x - 22

Subtract 2x from both sides. Add 22 to both sides.

18 = x

x = 18

Now that we know x = 18,

m<FGH = 2x - 4 = 2(18) - 4 = 36 - 4 = 32

m<FGH = 32

Part b.

m<HGI = 3x - 22 = 3(18) - 22 = 54 - 22 = 32

m<HGI = 32

Part c.

m<FGI = m<FGH + m<HGI = 32 + 32 = 64

m<FGI = 64


-Dominant- [34]3 years ago
3 0

Answer:

the answer for part b is 30

Step-by-step explanation:

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Norma-Jean [14]

Answer:

The slope of this parallel line is 3.

Step-by-step explanation:

Parallel lines have the same slope.  The given line y = 3x - 2 has the slope 3.  Therefore the desired parallel line also has the slope 3.  This is all that is necessary to answer this question.

The slope of this parallel line is 3.

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3 years ago
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used. Match the estimated value of each express
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Answer:

DEAC

Step-by-step explanation:

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2 years ago
4 (k - 6) = 6 (-4 - 5k)<br> a) 10<br> b) 0<br> c) -2<br> d) 8
user100 [1]

Step-by-step explanation:

step 1. what is the question? solve for k? okay.

step 2. 4(k - 6) = 6(-4 - 5k)

step 3. 4k - 24 = -24 - 30k

step 4. 34k = 0

step 5. k = 0.

3 0
3 years ago
I
Delvig [45]

Answer:

y= 1/2 x +7

the slope is 1/2 since hwne it's perpendicular, it's reciprocal and the sign also changes

Step-by-step explanation:

3= -4 +b

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4 0
2 years ago
Ishmael made a mistake in his checkbook. He wrote a check for $89.80 for his Verizon bill but mistakenly recorded it in his chec
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Answer:

A) A check for $89.80 for Verizon bill = -89.8

A deposit of $89.80 = +89.8

B) The difference between the two is that,

For the check, money is taken or removed from the account to pay for a bill while

For the deposit, money is added to the account.

Step-by-step explanation:

Ishmael made a mistake in his checkbook. He wrote a check for $89.80 for his Verizon bill but mistakenly recorded it in his checkbook as an $89.80 deposit.

A) Represent each transaction with a rational number

A check for $89.80 for Verizon bill = -89.8

A deposit of $89.80 = +89.8

B) Explain the difference between the transactions.

For the first transaction which is a check for his Verizon bill, using a check on your account means Ishmael wants to withdraw money from his account to pay for the bill. The money in his account will be $89.8 lesser than the initial amount there.

For the second transaction which recording in his checkbook a deposit of $89.80 means $89.80 was added to an account.

8 0
3 years ago
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