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3 years ago

Find the mid segment of GH

Mathematics

1 answer:

noname [10]3 years ago

8 0

Answer:

B. 2

Step-by-step explanation:

Based on the Midsegment of a trapezoid theorem:

GH = (BC + FE)/2

9x - 3 = (19 + (5x + 1))/2) (substitution)

9x - 3 = (20 + 5x)/2

Cross multiply

2(9x - 3) = 20 + 5x

18x - 6 = 20 + 5x

Collect like terms

18x - 5x = 20 + 6

13x = 26

Divide both sides by 13

x = 26/13

x = 2

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Airida [17]

Answer:

Step-by-step explanation:

use distributive property

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2 years ago

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Please need help on this

artcher [175]

Answer:

the center is (-4,7) and the radius is 3

Step-by-step explanation:

The center of a circle can be found using the equation $(x-h)^2 + (y-k)^2 = r^2$ and is (h,k) from it. Notice h and k are the opposite value as in the equation.

First write the equation in this form.

$x^2 + 8x + ( ?)+ y^2 - 14y + (?) + 56 = 0$

Complete the square with each variable to find what numbers should go in place of the question marks.

$(8/2)^2 = 4^2 = 16$

$(-14/2)^2 = -7^2 = 49$

Add 16 and 49 to both sides of the equation.

$x^2 + 8x + 16 + y^2 - 14y + 49 + 56 = 16 + 49\\(x+4)^2 + (y-7)^2 + 56 = 65\\(x+4)^2 + (y-7)^2 = 9$

So the center is (-4,7) and the radius is 3.

5 0

3 years ago

If the complex number x = 3 + bi and |x| 2 = 13, which is a possible value of b?

tatyana61 [14]

Answer:

A.2

Step-by-step explanation:

We know that |x|² = 13 and x = 3+bi:

(3+bi)² = 13

3² + b² = 13

9 + b² = 13

Subtract 9 from each side:

9 + b² - 9 = 13 - 9

b² = 4

Take the square root of each side:

√b² = √4

b = 2

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3 years ago

Paraphin [41]

Answer:

what grade so i can help you

Step-by-step explanation:

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3 years ago

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Leto [7]

Answer:

48m

Step-by-step explanation:

12m - 4m = 8m / 2 = 4

12m + 4m + 4m + 4m + 4m + 8m + 8m + 4m = 48

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3 years ago