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Flauer [41]
3 years ago
5

What’s the length of the segments variable expressions ??

Mathematics
1 answer:
maxonik [38]3 years ago
4 0

Answer:

EF=9\ units

Step-by-step explanation:

we know that

The <u><em>Trapezoid Mid-segment Theorem</em></u> states that: A line connecting the midpoints of the two legs of a trapezoid is parallel to the bases, and its length is equal to half the sum of lengths of the bases

so In this problem

EF=\frac{1}{2}[AD+BC]

substitute the given values

x=\frac{1}{2}[(x-6)+(2x-3)]

x=\frac{1}{2}[3x-9]

2x=(3x-9)\\3x-2x=9\\x=9

so

AD=x-6=9-6=3\ units

EF=x=9\ units

BC=2x-3=2(9)-3=15\ units

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5 0
3 years ago
1. The larger of two supplementary angles is 15 more than twice the measure of the smaller angle. Find each angle measure.Help
Anna71 [15]

Answer:

55 degrees and 125 degrees

Step-by-step explanation:

Supplementary means that they add up to 180.

x + y = 180

Let's let x be the larger angle.

x = 15 + 2y

The above equation comes from the information given, that it's 15 more than twice the smaller angle.

Now let's use substitution.

x + y = 180

(15 + 2y) + y = 180

15 + 3y = 180

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y = 55

The smaller angle is 55. Plug this back in to the first equation to get x.

x + y = 180

x + 55 = 180

x = 125

Now that you have both, test them again just to be sure that they fit the given conditions.

5 0
3 years ago
A right triangle's height is 3 times the length of its base. if the area of the triangle is 486, what is the height?
Irina-Kira [14]
The formula of the area of a triangle:
A_\Delta=\dfrac{bh}{2}
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b - the base3b - the height486 - the area

Substitute:
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