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3 years ago

Quadrilateral ABCD is inscribed in this circle. What is the measure of angle C?

Mathematics

1 answer:

Shkiper50 [21]3 years ago

6 0

Answer:

107 degrees

Step-by-step explanation:

For an inscribed quadrilateral, the opposite angles are supplementary. Thus, B+D = 180 and you can solve for x.

3x+9+2x-4 = 180

5x = 175

x = 35

Next, plug the x value into angle A.

2(35) + 3 = 73

Angle C is the supplement of this which is 180-73 = 107

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136 is 85% of what number?

Arte-miy333 [17]

X * 0.85 = 136
x = 136/0.85
x = 160

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3 years ago

A rectangular floor is 18ft long and 12 ft wide. Lamar wants to carpet the floor with carpet tiles sold by square yard. Use the

WITCHER [35]

Solution

The dimension of the rectangular floor is 18ft long and 12 ft wide

Using the conversion table

It is given that 1yd =3 ft

This shows that

12 feet will be equivalent to

$\frac{12}{3}=4yd$

Also 18ft will be equialent to

$\frac{18}{3}=6yd$

Therefore the new dimension is 6 yard by 4 yard

The area will be

$A=6\times4$

Therefore the required area is

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1 year ago

determine if l || m based on the information given on the diagram. If yes, state the converse that proves the lines are parallel

kirza4 [7]

Answer/Step-by-step explanation:

1. YES.

Converse: If same side interior angles are supplementary, then l || m. (Same side interior angles)

Since the sum of the two same side interior angles, 65° and 115°, equals 180°, therefore, l || m.

2. YES.

Converse: if two angles angles are a linear pair, they are supplementary, therefore l || m. (Linear pair)

Thus,

128° + 53° = 180°.

3. YES.

Converse: if two angles are corresponding angles and congruent, therefore l || m. (Corresponding angles).

Thus,

The indicated angles which are equal to 90°, are corresponding angles therefore, l || m.

4. YES

Converse: if two alternate exterior angles are congruent, then l || m. (Alternate exterior angles)

Thus, the two exterior angles are congruent, therefore l || m.

4 0

3 years ago

Carlos owns an orchard. His apple trees produced 315 bushels of apples. Each bushel of apples weighs about 48 pounds. There are

Anna71 [15]

If
1 bushel = 48 pounds
and 1 pound = 3 apples
48 pounds = x apples cross multiply
x apples = 48 X 3 ==> 144 apples
1 bushel = 144 apples (because 48 pounds = 1 bushel)
315 bushel = x apples
x apples = 144 X 315
x = 45360 apples

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3 years ago

The graph of a quadratic function intercepts the x-axis in two places and the y-axis in one place.

solmaris [256]

The true statement about the quadratic function is that it has two distinct real zeros

<h3>How to interpret the quadratic function?</h3>

The given parameters are:

x-intercepts = 2 i.e. intercepts the x-axis in two places
y-intercept = 1 i.e. intercepts the y-axis in one place

The first highlight above means that, the function can be represented as:

y = a(x - x1)(x -x2)

Where x1 and x2 are the x-intercepts

This also means that the quadratic function has two distinct real zeros

Read more about quadratic functions at:

brainly.com/question/7323175

#SPJ1

4 0

2 years ago

Quadrilateral ABCD​ is inscribed in this circle. What is the measure of angle C?

Quadrilateral ABCD is inscribed in this circle. What is the measure of angle C?