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3 years ago

Quadrilateral ABCD has the following

Mathematics

1 answer:

a_sh-v [17]3 years ago

4 0

Answer:

No because the angle of point C is NOT congruent to the angle of point A.

Step-by-step explanation:

A quadrilateral MUST be a parallelogram if it has both pairs of its opposite angles congruent.

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What is the approximate area of the shaded portion of the diagram? (Use 3.14 as an estimate for pi.)

Nadusha1986 [10]

Answer:

218

Step-by-step explanation:

first find the area of the circle-

$A=\pi r^{2} \\A=\pi 10^{2} \\A=100\pi \\A=314$

to find the area of the triangle, we need the base and the height. The base we know is 16, since we don't know the height yet, use the Pythagorean theorem to find the height. One leg is 16 the hypotenuse is 20 (2* the radius).

$a^{2} +b^{2} =c^{2} \\a^{2} +16^{2} =20^{2} \\a^{2} +256=400\\a^{2} =144\\a=12$

Now I know the height is 12. Find the area of the triangle

$A=\frac{1}{2} bh\\A=\frac{1}{2} (16)(20)\\A=96$

subtract the area of the triangle from the area of the circle

314-96=218

6 0

3 years ago

Let f(x) = twenty-four over the quantity of 3 x minus two. Find f(-2

bija089 [108]

$f(x)=\frac{24}{3x-2}\\\\f(-2)=?\\
Subtitude\ x=-2\\
f(-2)=\frac{24}{3*(-2)-2}=\frac{24}{-6-2}=\frac{24}{-8}=-3\\\\
Solution\ is\ f(-2)=-3.$

4 0

3 years ago

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Chang has 2 shirts: a white one and a black one. He also has 2 pairs of pants, one blue and one tan. What is the probability, if

Rom4ik [11]

Chang has a 50% probability of getting the white shirt and tan pants

8 0

3 years ago

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Three to the power of three minus seven plus ten

BARSIC [14]

Answer:

Step-by-step explanation:

You’re correct

6 0

3 years ago

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7 of 12

astra-53 [7]

Answer:

x = 10

Step-by-step explanation:

Since the parallelograms are similar then the ratios of corresponding sides are equal , that is

= ( cross- multiply )

6x = 60 ( divide both sides by 6 )

x = 10

Step-by-step explanation:

7 0

2 years ago