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3 years ago

Determine whether each pair of triangles is congruent. If so, state whether they are congruent by

Mathematics

1 answer:

Vlad1618 [11]3 years ago

4 0

Answer:

yes they're congruent.

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Find the unknown sizes of angles in the following figure:

8090 [49]

Answer:

angle x is 86

angle y is 38

Step-by-step explanation:

7 0

3 years ago

Analyze the diagram below and complete the instructions that follow.

lora16 [44]

Answer:

$\displaystyle y=2\sqrt{6}$

$\displaystyle x=2\sqrt{2}$

Step-by-step explanation:

<u>Trigonometric Ratios </u>

The ratios of the sides of a right triangle are called trigonometric ratios.

The longest side of the right triangle is called the hypotenuse and the other two sides are the legs.

Selecting any of the acute angles as a reference, it has an adjacent side and an opposite side. The trigonometric ratios are defined upon those sides.

The image provided shows a right triangle whose hypotenuse is given. We are required to find the value of both legs.

Let's pick the angle of 30°. Its adjacent side is y. We can use the cosine ration, which is defined as follows:

$\displaystyle \cos 30^\circ=\frac{\text{adjacent leg}}{\text{hypotenuse}}$

$\displaystyle \cos 30^\circ=\frac{y}{4\sqrt{2}}$

Solving for y:

$y=4\sqrt{2}\cos 30^\circ$

Since:

$\cos 30^\circ=\frac{\sqrt{3}}{2}$

$\displaystyle y=4\sqrt{2}\frac{\sqrt{3}}{2}$

Simplifying:

$\displaystyle y=2\sqrt{6}$

Now we use the sine ratio:

$\displaystyle \sin 30^\circ=\frac{\text{opposite leg}}{\text{hypotenuse}}$

$\displaystyle \sin 30^\circ=\frac{x}{4\sqrt{2}}$

Solving for x:

$x=4\sqrt{2}\sin 30^\circ$

Since:

$\sin 30^\circ=\frac{1}{2}:$

$\displaystyle x=4\sqrt{2}\frac{1}{2}$

Simplifying:

$\displaystyle x=2\sqrt{2}$

The choices are not clear, but it seems like the correct answer is C.

$\boxed{\displaystyle y=2\sqrt{6}}$

$\boxed{\displaystyle x=2\sqrt{2}}$

6 0

3 years ago

Help Please!

Liula [17]

Answer:

C = 66 cm

Step-by-step explanation:

C = pi*diameter

C = pi*21

C= 65.9734457254

C is around 66 cm (when rounded to whole number)

6 0

3 years ago

Mrs. Larson cuts 1 /3 of a piece of construction paper. She uses 1 /5 of the piece to make a flower. What fraction of the sheet

dusya [7]

Answer:

1/15

Step-by-step explanation:

X = a paper

Mrs. Larson cuts 1 /3 of a piece of construction paper.

1/3 * X = X/3

She uses 1 /5 of the piece to make a flower.

X/3 * 1/5 = X/15

What fraction of the sheet of paper does she use to make the flower?

1/15

3 0

4 years ago

Betsy is saving to buy a bird cage. She saves $1 dollar the first week, $3 the second week

UNO [17]

You do (7*1)+(7*2) then add both

3 0

4 years ago

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