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3 years ago

Line d is parallel to line c in the figure below. Which statements about the figure are true? Select three options.

Mathematics

1 answer:

Andreyy893 years ago

8 0

Answer:

Statements 2, 3 and 4 are true.

Step-by-step explanation:

2. < 1 and < 4 are alternate interior angles.

3. < 3 and < 6 are vertical angles.

4. There are 2 sets of alternate angles so the triangles are similar (< 1 and <4, and <2 and <5).

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Help qwq im sorta confused-

zloy xaker [14]

Answer:

it should be 1,632.....

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3 years ago

Marcos purchased a sail boat for $56,900. He anticipates each year the boat will decrease in value by 8.1% from the previous yea

Varvara68 [4.7K]

Answer: $56,900\left( 0.919\right)^x$

Step-by-step explanation:

Given

Marcos purchased a sailboat for $\$56,900$

Each year the boat will decrease in value by $8.1\%$

After 1 year it is

$\Rightarrow 56,900-56,900\times 0.081\\\Rightarrow 56,900\left( 1-0.081\right)\\$

after another year it becomes

$\Rightarrow 56,900\left( 1-0.081\right)-56,900\left( 1-0.081\right)\times 0.081\\\Rightarrow 56,900\left( 1-0.081\right)\cdot \left( 1-0.081\right)\\\Rightarrow 56,900\left( 1-0.081\right)^2$

After $x$ years it is

$\Rightarrow 56,900\left( 1-0.081\right)^x$

$\Rightarrow 56,900\left( 0.919\right)^x$

5 0

3 years ago

Alana deposited $20 in a savings account earning 5% interest, compounded annually.

lakkis [162]

Answer:

Step-by-step explanation:

y = $20(1.05)² = $22.05

3 0

3 years ago

2. Samuel used clay to make a diorama of the pyramids in Ancient Egypt. He made two triangular pyramids and three rectangular py

zalisa [80]

Answer:

$124.16$ cubic meter of clay will be used to create all the pyramids

Step-by-step explanation:

The remaining part of the question is given in the attached file

Solution

The total clay used is equal to the sum of volumes of two triangular and three rectangular pyramids.

For Rectangular Pyramid,

Volume of three rectangular pyramids

$3 * \frac{BH}{3} = BH$

Substituting the given values in above equation, we get -

$15.5 * 5 = 77.5$ cubic centimeter

For triangular Pyramid,

Volume of two triangular pyramids

$2 * \frac{BH}{3}\\2 * \frac{10 * 7}{3}$

$46.67$ cubic centimeter

Total clay used = Volume of 3 rectangular pyramid + volume of 2 triangular pyramid $= 77.7 + 46.67 = 124.16$ Cubic centimeter

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3 years ago

What is 2/8 as a decimal and percent

Sphinxa [80]

Answer:

0.25 is a decimal and 25/100 or 25% is the percentage for 2/8.

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers