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diamong [38]
3 years ago
13

The m∠P is three less than twice the measure of ∠Q. If ∠P and ∠Q are supplementary angles, find the measures of both angles.

Mathematics
1 answer:
notka56 [123]3 years ago
7 0

Answer:

m∠P =119

m∠Q = 61

Step-by-step explanation:

m∠P =  2(∠Q)-3    or p=2(q)-3

supplementary angles so they combine to equal 180!

soooooo we can take  

q+p=180

input what p equals and you get

q+ 2(q)-3=180

3q-3=180

3q=183

q=61

now we have what m∠Q is, so just subtract that from 180 to get m∠P

180-61=119

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3 years ago
-14(3a+6)=12(6-4a)+12 and steps please
Sunny_sXe [5.5K]

Answer:

In the given equation -14(3a+6)=12(6-4a)+12 the value of a is 28

Step-by-step explanation:

Given equation is -14(3a+6)=12(6-4a)+12

To simplify the given equation:

-14(3a+6)=12(6-4a)+12

Taking all terms to one side

-14(3a+6)-12(6-4a)-12=0

-[14(3a+6)+12(6-4a)+12]=0

Now dividing by negative sign on the above equation we get

14(3a+6)+12(6-4a)+12=0 (using distributive property)

42a+84+72-48a+12=0 ( adding the like terms )

-6a+168=0

-6a=-168

6a=168

a=\frac{168}{6}

Therefore a=28

Therefore in the given equation -14(3a+6)=12(6-4a)+12 the value of a is 28

8 0
3 years ago
What is the diameter of the cirlce if the radius is 7
Liono4ka [1.6K]

Answer:

14

Step-by-step explanation:

The diameter of a circle is twice its radius

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Substitute 7 in for r

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So, the diameter is 14

Hope this helps! :)

7 0
3 years ago
Read 2 more answers
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