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2 years ago

in these triangles, side AB is congruent to side DF, and side BC is congruent to side FG. Determine the values of x and y

Mathematics

1 answer:

vlada-n [284]2 years ago

5 0

I added a screenshot with the complete question

Answer:
x = 3
y = 9

Explanation:
1- getting the value of x:
We are given that:
side AB is congruent to side DF. This means that:
AB = DF
3(2x+10) = 12x + 12
6x + 30 = 12x + 12
12x - 6x = 30 - 12
6x = 18
x = 18/6
x = 3

2- getting the value of y:
We are given that:
side BC is congruent to side FG. This means that:
BC = FG
2y + 12 = 2(2y-3)
2y + 12 = 4y - 6
4y - 2y = 12 + 6
2y = 18
y = 18/2
y = 9

Hope this helps :)

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2 years ago

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Answer:

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Step-by-step explanation:

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What is the product of (2x-7) and (3x + 3)?

eduard

<h3>✒️EVALUATION </h3>

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

$\large\sf\underline{Problem:}$

What is the product of (2x-7) and (3x + 3)?

A. 6x2 + 15x-21
B. 6x2 - 15x - 21
C. 6x2 + 15x + 21
D. 6x2 - 15x + 21

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

$\large\sf\underline{Answer:}$

$\qquad \qquad \huge \rm Letter\:B.$

*Please read and understand my solution. Don't just rely on my direct answer*

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

$\large\sf\underline{Solution:}$

Here we have the given choices:

A. 6x2 + 15x-21
B. 6x2 - 15x - 21
C. 6x2 + 15x + 21
D. 6x2 - 15x + 21

Solve this equation using the distributive property,where you multiply each term to get the number.

$\begin{gathered} \rm2x - 7 = \boxed{ 6} \: \bigg| \small\boxed{\: 6 {x}^{2} } \\ \rm (7)(3) = \boxed{21} \bigg | \boxed{\: 21 x} \\ \\ \qquad \rm6x^{2}+(6x- 21x)-21 \\ \qquad \boxed{ \rm6 {x}^{2} + 15x - 21}\end{gathered}$

Therefore, the correct option is letter B.

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finlep [7]

Answer:

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Step-by-step explanation:

Given:

An artist used silver wire to make a square that has a perimeter of 40 inches.

She then used copper wire to make the largest circle that could fit in the square, with perimeter of 40 inches.

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