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Arturiano [62]
3 years ago
15

What is the apparent solution to this system of equations?

Mathematics
1 answer:
const2013 [10]3 years ago
3 0
The answer is 123456 okay
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What is x given ABC~DBE.<br> Show your work
alexandr1967 [171]

x = 37.5 (or) \frac{75}{2}

Solution:

Given \triangle A B C \sim \triangle D B E

AC = 50, DE = 30, EC = 25, BE = x, BC = 25 + x

To find the value of x:

Property of similar triangles:

If two triangles are similar then the corresponding angles are congruent and the corresponding sides are in proportion.

$\frac{BE}{BC} =\frac{DE}{AC}

$\frac{x}{25+x} =\frac{30}{50}

Do cross multiplication, we get

50x=30(25+x)

50x=750+30x

Subtract 30x from both sides of the equation.

20x=750

Divide by 20 on both sides of the equation, we get

x = 37.5 (or) \frac{75}{2}

Hence the value of x is 37.5 or \frac{75}{2}.

5 0
3 years ago
Write an inequality that expresses the reason the lengths 5 feet, 10 feet, and 20 feet could not be used to make a triangle. Exp
Anit [1.1K]
The 2 smallest lengths in a triangle have to add up to be greater that the longest side of the triangle. In this case, the longest side is 20. The 2 smallest sides are 5 and 10. 5+10=15, but 15<20. This is why these 3 lengths can’t create a triangle.
6 0
3 years ago
He measured the height of the box to be 7 in. Then, Stephan drew a line from the center of one of the hexagons to each of its ve
JulijaS [17]
He measured the height of the box to be 7 in. Then<span>, </span>Stephan drew a line from the center of one of the hexagons to each of its vertices and noticed that<span> all .</span>
4 0
3 years ago
What is the volume of the right rectangular prism?<br> Area of base = 56 sq ft<br> Need help
Lilit [14]
Step by step: 4 divided by 56

because the 4 represents how many sides of the shape .

and 56 is the total of the rectangle prism .

and u won’t multiply because u can’t get a bigger number than the total .

Answer: 14

Hope this helps !

7 0
3 years ago
Can someone please answer step by step?
alukav5142 [94]

Answer:

George is correct

Step-by-step explanation:

if the jacket is in sales for 20% off, Jane's coupon would give her a discount of 10% on top of the already discounted 20%.

Jane is incorrect because, if she added the 2 discount together, she gets a total of 30%, but that is a 30% discount of the original price of $75 which isn't correct. what we want to do is find how much the jacket cost after 20% discount THEN use the coupon to get a further 10% discount on the sales price of the jacket. and for this reason, George is correct.

hope this helped

3 0
3 years ago
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