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Gemiola [76]
4 years ago
8

∠A and ∠ B ∠B are vertical angles. If m ∠ A = ( 3 x − 21 ) ∘ ∠A=(3x−21) ∘ and m ∠ B = ( 2 x − 13 ) ∘ ∠B=(2x−13) ∘ , then find th

e value of x.
Mathematics
1 answer:
Sav [38]4 years ago
3 0

Answer:

x=8

Step-by-step explanation:

start by setting angle a equal to angle b

next add 21 to the opposite side

then subtract 2x from the opposite side

finally you're left with x=8

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(-10,2) (-5,-1) find mid point
zmey [24]

The Mid - point of the line segment is at coordinates -  M(- 7.5, 0.5)

We have two coordinate points -  A(- 10, 2)  and  B(- 5, -1)

We have to find the midpoint of this line AB.

<h3>What is Mid - Point Theorem?</h3>

It states that a line with endpoint coordinates as - (x_{1} ,y_{1} ) and (x_{2} ,y_{2} ) has its mid - point at the coordinates -

(x_{M} ,y_{M} ) =( \frac{x_{1} +x_{2} }{2} , \frac{(y_{1} +y_{2} )}{2} )

According to question, we have -

First coordinate Point -  (x_{1} ,y_{1} ) = (- 10, 2)

Second coordinate Point - (x_{2} ,y_{2} ) = (- 5, - 1)

Using the Mid - Point formula, we get -

(x_{M} ,y_{M} ) =( \frac{x_{1} +x_{2} }{2} , \frac{y_{1} +y_{2} }{2} ) =

x_{M} = \frac{-10-5}{2} = \frac{-15}{2} = - 7.5\\\\y_{M} = \frac{2 - 1}{2}  = \frac{1}{2} = 0.5

Hence, the Mid - point of the line segment is at coordinates -

M(- 7.5, 0.5)

To solve more questions on Mid - points, visit the link below -

brainly.com/question/25377004

#SPJ1

5 0
2 years ago
Can anybody help me with these three problems thank you
Amiraneli [1.4K]

Answer:

1) 1/7

2) 1/3

3) 1/4

Step-by-step explanation:

1) Since there are 7 days in a week it can be expressed as the fraction 1/7

2) Since there are 3 feet in a yard it can be expressed as the fraction 1/3

3) Since there are 4 quarts in a gallon it can be expressed as the fraction 1/4

8 0
3 years ago
A football team gained 5 yards, lost 8 yards, lost another 2 yards, and then gained 45 yards. What were the total yards gained o
Fudgin [204]

Answer:

yes you would be correct if they started with zero yards at the beginning

Step-by-step explanation:

6 0
3 years ago
2) Lisa is ordering sand from the Internet, On one site she found sand on sale for
Anastasy [175]

For this case we must find the unit cost (dollars per pound) of each site and then compare.

We take into account that:

1kg equals 2.205 pounds

So, we have:

Site 1:

C = 2.25 \frac {dollars} {pound}

Site 2:

5kg = 5 (2.205\ pounds) = 11.025 pounds

So, the unit cost is:

C = \frac {14} {11.025} \frac {dollars} {pound} = 1.27 \frac {dollars} {pound}

Thus, the best deal is on site 2.

ANswer:

The best deal is on site 2.

7 0
4 years ago
What is the Answer ????
shusha [124]

Answer: the answer is 8.8

Step-by-step explanation: multiply 2.2 by 4

2.2 X 4

4 0
4 years ago
Read 2 more answers
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