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vagabundo [1.1K]
3 years ago
7

For what value of x is ΔABC ~ ΔDEF? A. 12 B. 25 C. 44 D. 52

Mathematics
1 answer:
USPshnik [31]3 years ago
6 0

Answer:

A. 12

Step-by-step explanation:

If A and D are congruent, then 4x - 6 = 42 which becomes 4x = 48 after adding which then solves down to x = 12.

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The sugar company will choose from two companies to transport its sugar to market. the first company charges $6500 to rent truck
yulyashka [42]

Answer:

20 ton

Step-by-step explanation:

We created a system of two separate equations to answer these questions.

"y" will be the total cost to transport the sugar

"x" will be the amount of sugar transported

Therefore, we have to:

y = 3995 + 225.50 * x

y = 6500 + 100.25 * x

We must establish these equations equal to each other because it asks how much of x is necessary to make the same amount of y, therefore:

3995 + 225.50 * x = 6500 + 100.25 * x

solved we have:

225.50 * x - 100.25 * x  = 6500 - 3995

125.25 * x = 2505

x = 2505 / 125.25

x = 20

which means that when the amount of sugar transported is 20 tons, the price is the same

4 0
4 years ago
Which of the following equations has the same solutions as the equations 3x+2y=-12
Marianna [84]

B, C, E, F

<h2>Explanation:</h2>

In this problem, we have the following equation of a line written in Standard form:

3x+2y=-12

So  we need to choose the equations that has the same solutions as this equation. If we multiply each equation by a constant term and find the same solution as the given equation, then they will have the same solution. This is only true fro options B, C, E and F.

Option B.

-3x-2y= 12 \\ \\ Multiply \ both \ sides \ by \ -1: \\ \\ (-1)(-3x-2y)=(-1)(12) \\ \\ 3x+2y=-12

So we get the same given equation. This option is valid!

Option D.

15x+10y= -60 \\ \\ Multiply \ both \ sides \ by \ 1/5: \\ \\ (\frac{1}{5})(15x+10y)=(\frac{1}{5})(-60) \\ \\ 3x+2y=-12

So we get the same given equation. This option is valid!

Option E.

6x+2y= -12 \\ \\ Multiply \ both \ sides \ by \ 1/2: \\ \\ (\frac{1}{2})(6x+2y)=(\frac{1}{2})(-24) \\ \\ 3x+2y=-12

So we get the same given equation. This option is valid!

Option F.

1.5x+y= -6 \\ \\ Multiply \ both \ sides \ by \ 2: \\ \\ (2)(1.5x+y)=(2)(-6) \\ \\ 3x+2y=-12

So we get the same given equation. This option is valid!

For the other options, there is no any constant term that multiplies both sides of the equation and gives us the same given equation.

<h2>Learn more:</h2>

About this subject: brainly.com/question/8810210

#LearnWithBrainly

7 0
3 years ago
What is 23% of 256? please help
Anastasy [175]
So first you need to turn the percent into a decimal. So 23% would be 0.23 because you divide 23 by 100 to turn it into a decimal. Now you multiply 0.32 and 256. So:

0.23 *256=58.88 

So your answer would be 23% of 256 is 58.88. I hope this helps! =)
7 0
3 years ago
Becca has saved 25% of the money that she needs to buy a new tennis racket. If she has saved $21 jow much money does the tennis
nexus9112 [7]
Let x be the entire portion of the money Becca needs to save to buy a new tennis racket.

So, 0.25x=$21

x=$21/0.25
x=$84

Thus, the total amount she needs to save is $84. Now, we'll deduct 25 from 84 to get the 75 percent or the remaining amount she has to save.

$84-$21=$63

The answer is $63.
6 0
3 years ago
Read 2 more answers
A castle has to be guarded 24 hours a day. Five knights are ordered to split each day’s guard duty equally. How long will each k
Kisachek [45]
I think that is 248 min in one day because 24/5 is 4.8. 4hours and 8 min. 4 times 60 is 240. 240 plus 8 is 248 this is what I think.
7 0
3 years ago
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