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4 years ago

6

If two angles of one triangle are congruent to two angles in another triangle, then what must be true of the third angles of the

triangles?

1 answer:

Snezhnost [94]4 years ago

5 0

The third angle is also congruent. It would have to be because there wouldn't be another value that it could be.

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N a function, an element of the range must map to exactly one element of the domain. True False

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4 years ago

Which is the side length of a cube with a volume of 125 m3?

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4 years ago

What is the surface area of the cone? Express your answer in terms of π.

Licemer1 [7]

Answer:

The surface area is about 408.47

Step-by-step explanation:

We must use Pythagorean Theorem in order to find the the height of the cone in order to use the surface area of a cone formula. The formula that you use would be A=πr(r+h2+r2). You already have the radius which is 5.

Pythagorean Theorem

a^2 + b^2 = c^2

You have two leg measurements of the triangle, one of which is the hypotenuse. The hypotenuse is 21.

a^2 + (5)^2 = (21)^2
a^2 +25 = 441

Subtract 25

a^2 = 416
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Take the square root of 416 and you get about 20.4. So the height of the cone would be about 20.4.

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4 years ago

Select ALL the correct answers.

shepuryov [24]

When a quadrilateral is inscribed in a circle, the opposite angles are supplementary

The description of the angles in the quadrilaterals are:

b. m∠M = 55°, m∠J = 48°, and m∠L = 132°
d. m∠L = 40°, m∠M = 60°, and m∠K = 120°
e. m∠K = 72°, m∠L = 44°, and m∠M = 108°
f. m∠J = 105°, m∠K = 65°, and m∠L = 75°

<h3>How to describe the angles</h3>

The quadrilateral is given as: JKLM

The opposite angles are:

Angles J and L
Angles K and M

The opposite angles are supplementary

So, we have:

$J + L = 180$

$K + M = 180$

Next, we test the options

<u>Option (a)</u>

$J + L = 180$

$125 + 35 = 160$

This is not true

<u>Option (b)</u>

$J + L = 180$

$48 + 132 =180$

This is true

<u>Option (c)</u>

$K + M = 180$

$12 + 78 = 180$

This is not true

<u>Option (d)</u>

$K + M = 180$

$120 + 60 = 180$

This is true

<u>Option (e)</u>

$K + M = 180$

$72 + 108= 180$

This is true

<u>Option (f)</u>

$J + L = 180$

$105 + 75 = 180$

This true

Hence, the description of the angles in the quadrilaterals are (b), (d), (e) and (f)

Read more about inscribed quadrilaterals at:

brainly.com/question/26690979

6 0

3 years ago