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Annette [7]
3 years ago
11

suppose A and B are complementary angles, m a =(3x+5) and m b= (2x-15). Solve for x and then find m a and m b

Mathematics
1 answer:
vlada-n [284]3 years ago
8 0
2 angles are complementary if the sum of their measures is 90°.

For example  if m(P) = 41°  and m(Q)=49°, then P and Q are complementary.


Thus A and B are complementary means that m(A)=m(B)=90°:

(3x+5°) + (2x-15°) =90°

5x-10°=90°

5x=100°

x=20°



Thus 

m(A)=3x+5°=3* 20°+5°=60°+5°=65°

m(B)=2x-15°=2*20°-15°=40°-15°=25°
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What is the range of possible sizes for side x
Xelga [282]

Answer:

0.5 < x < 16.5

Step-by-step explanation:

For a triangle (by the triangular inequality theorem), we know that the sum of any two sides must be larger than the other side.

When we have a triangle and we know two sides, let's define the measures of these sides as S1 and S2.   (such that S2 > S1)

By the first property, we will have that S1 + S2 > S3

Where S3 is the third side, the one that we do not know.

But there is also a lower restriction, given by:

S2 - S1 < S3 < S1 + S2

This is because we also must have:

S1 + S3 > S2

and

S2 + S3 > S1

We can rewrite both of these to get:

S2 - S1 < S3

S1 - S2 < S3

Because S2 > S1, the first inequality is more restrictive, so we need to use that one.

Then we get the inequality:

S2 - S1 < S3 < S1 + S2

Ok, in this case, the shorter side is 8.0 then:

S1 = 8.0

And the longer side is 8.5, then:

S2 = 8.5

And the third side is x, S3 = x

Replacing those in our inequality, we get:

8.5 - 8.0 < x < 8.5 + 8.0

0.5 < x < 16.5

This is the range of possible sizes for side x.

3 0
3 years ago
Which expressions are equivalent to 12x - 6? ​
iren2701 [21]
<h3>Answer</h3>

B and E

<h3>Explanation</h3>

A) It's wrong because

- 6 \times (2x - 1) =  - 12x + 6

B) It's right because

6 \times (2x - 1) = 12x - 6

C) It's wrong because

6x \times (2 - 1) = 6x \times 1 = 6x

D) It's wrong because

- 6x \times (2x - 1) =  - 12 {x}^{2} + 6

E) It's right because

- 6 \times ( - 2x + 1) = 12x - 6

F) It's wrong because

6 \times ( - 2x + 1) =  - 12x + 6

8 0
3 years ago
What is -10=k+6 please show work thank you
Tresset [83]

Answer:

k=-16

Step-by-step explanation:

-10=k+6

subtract 6 both both sides to isolate the variable

-16=k

Happy Holidays!!

7 0
3 years ago
Read 2 more answers
What is 0.002 1/10 of
ki77a [65]
<span>0.002 1/10 of what
=> 1/10a = 0.002
=> Now, let’s multiply both sides with 10 to find the answer since we’re looking for the 1/10 of what number.
=> 10 x 1/10 a = 10 x 0.002
=>  a = 0.02

Thus, 0.002 is the 1/10 of 0.02 number.
let’s check if we have a correct answer.
To check just do the other way around, Divide our answer by 10.
=> 0.02 / 10
=> 0.002
Therefore, our answer is correct

</span>



5 0
3 years ago
A car dealership has 180 cars on their lot. If they increase their inventory by 25%, how many cars will be on the lot?
4vir4ik [10]

Answer:

There will be 225 cars on the lot.

8 0
2 years ago
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