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3 years ago

∠A∠A and ∠B∠B are vertical angles with m∠A=xm∠A=x and m∠B=5x−80m∠B=5x−80 . What is m∠Am∠A ?

2 answers:

8 0

The Vertical Angles Theorem states that if two angles are vertical angles, then they are congruent .Given <A and <B are vertical angles so they are equal.

<A=<B.

Measure of <A=x and <B=5x-80

Or 5x-80=x

Adding 80 both sides

5x-80+80=x+80

5x=x+80

Subtracting x both sides

5x-x=x-x+80

4x=80

Dividing both sides by 4

x=20

Measure of <A= x= 20 degrees.

Advocard [28]3 years ago

6 0

Vertical angles are the pairs of opposite angles made by two intersecting lines. One interesting feature of these angles is that they have equal measurements. Therefore we can solve m∠A as follows:

m∠A = m∠B
x = 5x - 80
6x = 80
x = 40/3

m∠A = 40/3

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Mrs. Grubb bought some shirts for $4 each and some hats for $12 each. She bought 9 pieces of clothing for $100. Write a system o

Lana71 [14]

Answer:

Mrs. grub bought total number of shirts = 1

Mrs. grub bought total number of hats = 8

Step-by-step explanation:

Let Mrs. grub bought total number of shirts = x

Let Mrs. grub bought total number of hats = y

As given,

Price of 1 shirt = $4

Price of 1 hat = $12

⇒ Price of x shirts = $ 4x

Price of y hats = $ 12y

Given that,

Mrs. Grubb bought total piece of clothes = 9

⇒ x + y = 9 .......(1)

Also given,

She bought all clothing for $100

⇒ 4x + 12 y = 100 ........(2)

Divide equation (2) by 4 we get

x + 3y = 25 .......(3)

Now,

Subtract equation (1) from equation (3) , we get

x + 3y - ( x + y ) = 25 - 9

⇒ x + 3y - x - y = 16

⇒2y = 16

⇒y = $\frac{16}{2}$ = 8

⇒ y = 8

Put value of y in equation (3), we get

x + 3(8) = 25

⇒x + 24 = 25

⇒x = 25 - 24 = 1

⇒x = 1

∴ we get

Mrs. grub bought total number of shirts = x = 1

Mrs. grub bought total number of hats = y = 8

8 0

3 years ago

What is the volume of the cylinder shown below?

Anastasy [175]

here's your solution

=> it is given that.

=> height of cylinder = 15unit

=> radius of base = 9unit

=> volume of cylinder = π r^2h cubic unit

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3 years ago

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svlad2 [7]

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4 years ago

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stepan [7]

Answer:

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Step-by-step explanation:

because it goes up by 2 every time

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4 years ago

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Could anyone pls help me with this geometry question? :) thank you soo much for the help :)

Vsevolod [243]

Answer: 103 degrees

Step-by-step explanation:

**point M is the center point of triangle ABC since it intersects both bisectors of Angle A and B.

Angle AMB=Angle M

A/2=

58/2=29 ==> Angle bisector divide an angle by half.

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2 years ago

∠A∠A and ​ ∠B∠B ​ are vertical angles with m∠A=xm∠A=x and m∠B=5x−80m∠B=5x−80 . What is m∠Am∠A ?

∠A∠A and ∠B∠B are vertical angles with m∠A=xm∠A=x and m∠B=5x−80m∠B=5x−80 . What is m∠Am∠A ?