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nikitadnepr [17]
3 years ago
13

The angle measurements in the diagram are represented by the following expressions.

Mathematics
2 answers:
Anna11 [10]3 years ago
7 0
<h3><u>Answer:</u></h3>

x = 12°

<h3><u>Step-by-step explanation:</u></h3>

Since both lines are parallel.

Using alternate angle property!

= > Angle A = Angle B

= > 5 x - 15 = 2 x + 21

= > 5 x - 2 x = 21 + 15

= > 3 x = 36

= > x = 12

Therefore, the value of x is 12°.

valkas [14]3 years ago
3 0

Answer:

45°

Step-by-step explanation:

A and B are Alternate exterior angles and congruent, thus

5x - 15 = 2x + 21 ( subtract 2x from both sides )

3x - 15 = 21 ( add 15 to both sides )

3x = 36 ( divide both sides by 3 )

x = 12

Thus

∠ A = 5x - 15 = 5(12) - 15 = 60 - 15 = 45°

∠ B = 2x + 21 = 2(12) + 21 = 24 + 21 = 45°

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6у – 6 = 4у + 16<br> A.y=2.2<br> B. y= -2.2<br> C. у= 11<br> D. у= 5
Korvikt [17]

Answer:

C. y=11

Step-by-step explanation:

6y-6=4y+16

6y=4y+22

2y=22

y=11

7 0
2 years ago
C(x)=x^2+6x+14 find vertex form
nalin [4]

Answer:

c(x)=(x+3)^2+5

Step-by-step explanation:

To complete the square, the same value needs to be added to both sides.

So, to complete the square x^2+6x+9=(x+3)^2 add 9 to the expression

C(x) =x^2 +6x + 9 + 14

Since 9 was added to the right-hand side also add 9 to the left-hand side

C(x) +9= x^2 +6x + 9 + 14

Using a^2 + 2ab + b^2=(a+b)^2, factor the expression

C(x)+9= (x+3)^2 +14

Move constant to the right-hand side and change its sign

C(x)=(x+3)^2 +14 - 9

Subtract the numbers

C(x)= (x+3)^2 +5

6 0
2 years ago
What is the vaule of m in this equation 188 = m + 80
Crazy boy [7]

Explanation:

First, switch sides of an equation.

m+80=188

Then, you subtract by the 80 from both sides of an equation.

m+80-80=188-80

And finally, simplify and subtract the numbers.

188-80=108

\boxed{m=108}

Hope this helps!

Thank you!

Have a great day!

8 0
2 years ago
Read 2 more answers
What is 16 tens + 4 ones
aalyn [17]
(16*0) + (4*1)
16*10 = 160
4*1 = 4
160 + 4
The answer is 164! :)

5 0
3 years ago
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Who can help me with number 1
Oksi-84 [34.3K]
You are going to want to cross multiply this, so 5/9 would multiply with 1 and 2/3 would be multiplied by x. Now you have 5/9 = 2/3x. You would divide 2/3 on both sides and get 5/6. 5/6 is your answer.
8 0
3 years ago
Read 2 more answers
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