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3 years ago

PLEASE HELP ITS ALMOST LATE

Mathematics

1 answer:

GaryK [48]3 years ago

8 0

Answer:

C.) no solution

Step-by-step explanation:

Does not equal

-48/=/ 48

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What are all of the values?

Arada [10]

(i) x = 3

(ii) y = 6

<u>Explanation:</u>

The two polygons are similar.

The congruent angles are:

∠J ≅ ∠G

∠R ≅ ∠M

∠I ≅ ∠A

∠C ≅ ∠T

∠E ≅ ∠H

Proportional sides are:

$\frac{JR}{GM} = \frac{RI}{MA} = \frac{IC}{AT} = \frac{CE}{TH} = \frac{EJ}{HG}$

(i) Value of x = ?

$\frac{JR}{GM} = \frac{RI}{MA}$

Putting the values from the figure

$\frac{6}{12} = \frac{2x + 1}{3x + 5} \\\\6 ( 3x + 5) = 12 ( 2x + 1)\\\\18x + 30 = 24x + 12\\\\30 - 12 = 24x - 18x\\\\18 = 6x\\\\x = 3$

(ii) Value of y = ?

$\frac{JR}{GM} = \frac{IC}{AT}$

On putting the value we get:

$\frac{6}{12} = \frac{x^2-4}{y+4} \\\\6(y+4) = 12(x^2 - 4)\\\\6y + 24 = 12[(3)^2 - 4]\\\\6y + 24 = 12[ 9 - 4]\\\\6y + 24 = 60\\\\6y = 36\\\\y = 6$

4 0

3 years ago

2x+9−5x=12 i dont under stand how to get the answer

Alona [7]

Answer:
The answer is x=-1

6 0

3 years ago

What is the perimeter of CDE?

LuckyWell [14K]

<h3>Answer: 32.5 units (choice C)</h3>

This value is approximate.

=============================================================

Explanation:

To find the perimeter, we simply add up the lengths of the three external sides.

The horizontal side from D to E is 16 units long since |-10-6| = 16. I subtracted the x coordinates of the points and applied absolute value. You could also count out the spaces and you should count 16 spaces from D to E.

Unfortunately, the diagonal lengths aren't as straight forward. We have two options here: The pythagorean theorem, or the distance formula.

I'll go with the distance formula.

Let's find the distance from C to D, aka the length of side CD

$C = (x1,y1) = (-1,-2)\\\\D = (x2,y2) = (-10,0)\\\\d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(-1-(-10))^2 + (-2-0)^2}\\\\d = \sqrt{(-1+10)^2 + (-2-0)^2}\\\\d = \sqrt{(9)^2 + (-2)^2}\\\\d = \sqrt{81 + 4}\\\\d = \sqrt{85}\\\\d \approx 9.2195\\\\$

Side CD is roughly 9.2195 units long.

Repeat this idea to find the length of CE

$C = (x1,y1) = (-1,-2)\\\\E = (x2,y2) = (6,0)\\\\d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(-1-6)^2 + (-2-0)^2}\\\\d = \sqrt{(-7)^2 + (-2)^2}\\\\d = \sqrt{49 + 4}\\\\d = \sqrt{53}\\\\d \approx 7.2801\\\\$

Side CE is roughly 7.2801 units long

The perimeter of triangle CDE is approximately...

P = DE+CD+CE

P = 16 + 9.2195 + 7.2801

P = 32.4996

This then rounds to 32.5 units. The answer is choice C.

7 0

3 years ago

Someone help me solve this problem

katrin [286]

Same-side interior angles where a transversal crosses parallel lines are supplementary:

6y +4y = 180
90 +5x = 180

The solutions to these equations can probably be done in your head:

y = 180/(6+4) = 18
x = (180-90)/5 = 18

The angles at the bottom of the figure, shown as different, are actually the same: 90°.

The angles at the top of the figure, shown as the same, are actually different: 108° on the left, 72° on the right.

3 0

3 years ago

Cho is making a rectangular garden, where the length is x feet and the width is 2x + 8 feet. He wants to add garden stones aroun

zmey [24]

Answer:

38 feet

Step-by-step explanation:

P(x) = ℓ(x) + ℓ(x) + w(x) + w(x)

= x + x + (4x - 1) + (4x - 1)

= (x + x + 4x + 4x) + (-1 -1)

= 10x - 2

P(4) = 10(4) -2 = 38

The perimeter is 38 feet when the length is 4 feet long, so Cho will need to

cover 38 feet with garden stones.

6 0

3 years ago