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3 years ago

Question is in the picture

Mathematics

1 answer:

kompoz [17]3 years ago

4 0

9514 1404 393

Answer:

x = 3
y = 9

Step-by-step explanation:

Congruent sides are the same length.

AB = DF

3(2x +10) = 12x +12

6x +30 = 12x +12 . . . . eliminate parentheses

18 = 6x . . . . . . . . . . . . subtract 6x+12

3 = x . . . . . . . . . . . . . divide by 6

BC = FG

2y +12 = 2(2y -3)

y +6 = 2y -3 . . . . . . . divide by 2

9 = y . . . . . . . . . . . . subtract y-3

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Solve 4X^2+7 = 8X +4 by using the quadratic formula

Sergio [31]

Answer:

(1.5,0)

(.5,0)

Step-by-step explanation:

Quadratic formula below

We first need to move everything to one side of the equation

4x²-8x+3=0

Then plug everything in

(8±√(-8²-4*4*3))/(2*4)

(8±√16)/8

To calculate the ± we need to do when where it's adding and then negative

we have

(8+4)/8=3/2

and hten

(8-4)/8=1/2

4 0

3 years ago

Write a word problem whose solution is |-70|=70

devlian [24]

What is the absolute value of -70.

6 0

4 years ago

In the triangle below, angle B measures 60° and BC is 18. What is the length of AC?

Gre4nikov [31]

Answer:

The Answer is D StartFraction StartRoot 3 EndRoot Over 9 EndFraction

Step-by-step explanation:

Just took the test one Edge, sorry its late.

6 0

3 years ago

Read 2 more answers

The image shows three tennis balls enclosed in a cylindrical can. Choose all that are correct. The volume of a single tennis bal

Fynjy0 [20]

Answer:

The volume of a single tennis ball is $14.14\ in^{3}$

The volume of three tennis balls is $42.42\ in^{3}$

Step-by-step explanation:

Step 1

Find the volume of a single tennis ball

we know that

The volume of a sphere is equal to

$V=\frac{4}{3}\pi r^{3}$

where r is the radius of the sphere

In this problem

$r=3/2=1.5\ in$

substitute

$V=\frac{4}{3}\pi (1.5)^{3}$

$V=14.14\ in^{3}$

Step 2

Find the volume of the can

we know that

the volume of the cylinder is equal to

$V=\pi r^{2} h$

where r is the radius of the cylinder

h is the height of the cylinder

in this problem we have

$r=3/2=1.5\ in$

$h=8.4\ in$

substitute

$V=\pi (1.5)^{2}(8.4)$

$V=59.38\ in^{3}$

Statement

case A) The volume of a single tennis ball is $14.14\ in^{3}$

The statement is true

See the procedure in Step 1

case B) The volume of the can is $56.55\ in^{3}$

The statement is false

The volume of the can is $59.38\ in^{3}$ --> see the procedure Step 2

case C) The empty space inside the can is $14.13\ in^{3}$

The statement is false

To find the empty space subtract the volume of three tennis ball from the volume of the can

$59.38\ in^{3}-3*14.14\ in^{3}=16.96\ in^{3}$

case D) The volume of three tennis balls is $42.42\ in^{3}$

The statement is true

To find the volume of three tennis balls multiply the volume of a single tennis ball by three

$14.14*3=42.42\ in^{3}$

8 0

4 years ago

NEED HELP ASAP

balu736 [363]

Answer:

∠4 and ∠3

∠4 and ∠5

∠3 and ∠6

Step-by-step explanation:

A pair of angles is said to be supplementary when the 2 angles add up to give 180°.

Two right angles add up to give 180°. Also, if we have two angles on a straight line, their sum = 180°, according to the linear pair property.

Thus, since m< 3 is given as 90°, m<4 = 90°.

m<4 + m<3 = 180°.

Therefore, <4 and <3 are supplementary.

<4 and <5, <3 and <6 are both linear pairs, therefore they are also supplementary.

6 0

4 years ago