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ELEN [110]
2 years ago
9

The segments shown below could form a triangle.

Mathematics
1 answer:
jonny [76]2 years ago
7 0

Answer:

TRUE

Step-by-step explanation:

I SEEN SOME ONE ELSE WIT 5 STARS SAY SO(:

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The sides of a triangle have lengths of x, x + 5, and 25. If the longest side is 25, which of the following values of x would ma
Amiraneli [1.4K]
In a right angle, the sum of the squares of the two shorter sides is equal to the square of the longest side.
Here, the longest side is 25, the shorter sides are x and x+5.

x^2+(x+5)^2=25^2 \\
x^2+x^2+10x+25=625 \\
2x^2+10x+25=625 \ \ \ |-625 \\
2x^2+10x-600=0 \ \ \ |\div 2 \\
x^2+5x-300=0 \\
x^2+20x-15x-300=0 \\
x(x+20)-15(x+20)=0 \\
(x-15)(x+20)=0 \\
x-15=0 \ \lor \ x+20=0 \\
x=15 \ \lor \ x=-20


The length of a side must be a positive number, so x=15.
The answer is C.
6 0
3 years ago
Which explains how to find the radius of a circle whose equation is in the form x2 + y2 = z? The radius is the constant term, z.
tatiyna

Answer:

The radius is the square root of the constant term, z

Step-by-step explanation:

makes sense, also took the test :)

5 0
3 years ago
Read 2 more answers
Can you answer questions 71, and 72?
antiseptic1488 [7]
I think 71 is B
and 72 is D.

6 0
3 years ago
The length of Rebecca’s rectangular garden was two times the width “w”. She increased the length and width of the garden so that
Damm [24]

Answer:

rebecca increased the length by 3 and the width by 2

Step-by-step explanation:

First we need to find the length and width by factorizing the expressio ofr the area;

A = 2w^2+7w+6

A = 2w^2+4w+3w+6

A = 2w(w+2)+3(w+2)

A = (2w+3)(w+2)

Since l = 2w

Length = 2w+3

width = w+2

This shows that rebecca increased the length by 3 and the width by 2

6 0
3 years ago
Find the area. Simplify your answer.<br> 3x+9<br> 2x
MariettaO [177]

Answer:

We know,

Area of triangle = 1/2 * b * h

= 1/2 * 2x * 3x

= 1/2 * 6x

= 3x

Step-by-step explanation:

8 0
3 years ago
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