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Morgarella [4.7K]
3 years ago
13

What is the value of b and c?

Mathematics
1 answer:
andrezito [222]3 years ago
6 0

Answer:

Step-by-step explanation:

By the markings, this is an isosceles triangle.  That means that angle R and angle T have the same exact measures since the sides across from those angles have the same measure.  That means that angle T, or b, is 73 degrees.

Since, by the Triangle Angle-Sum Theorem, all angles in any triangle have to add up to equal 180 degrees, then angle S, or c, is 180 - 73 - 73 which is 34 degrees.

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Find the equation, in standard form, of the line passing through the points
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Trapezoid JKLM is is shown below. What is the length in centimeters, of KL
IrinaVladis [17]

The complete question is:

Trapezoid JKLM is shown below.

What is the length, in centimeters, of KL ?

A. 12 cm

B. 10 cm

C. 9 cm

D.  6 cm

The mentioned figure is attached.

Answer:

\large\boxed{option\text{ B. }(\overline{KL})=10cm}

Explanation:

1. KL is the hypotenuse of a right triangle; hence, you can use Pythagora's theorem to find its length.

2. The height 8 cm is one leg of the right triangle.

3. The other leg may be found by difference:

     \overline{ML} -\overline{JK}=15cm-9cm=6cm

4. Now you can use Pythagora's theorem:

hypotenuse^2=(leg_1)^2+(leg_2)^2\\ \\ (\overline{KL})^2=(8cm)^2+(6cm)^2\\ \\ (\overline{KL})^2=64cm^2+36cm^2=100cm^2\\ \\ (\overline{KL})=10cm

3 0
4 years ago
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