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3 years ago

Help PLEASE!!! Choices: A.) $216 B.) $210 C.) $213 D.) $225

Mathematics

1 answer:

-BARSIC- [3]3 years ago

6 0

The correct answer is B. $210

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NEED HELP ASAP!!!!!!!!!!!

Ivanshal [37]

Answer:

a. $\frac{x + 3}{21}=\frac{x + 1}{15}$

b. x = 4 (see steps below)

Step-by-step explanation:

Since the two polygons are similar, the sides are proportional to each other. Using a proportion, you can solve for 'x' using cross-multiplication and division:

$\frac{smaller}{larger}=\frac{x + 3}{21}=\frac{x + 1}{15}$

Cross-multiply: 15(x + 3) = 21(x + 1)

Distribute: 15x + 45 = 21x + 21

Subtract '15x' from both sides: 15x + 45 - 15x = 21x + 21 - 15x or 45 = 6x + 21

Subtract '21' from both sides: 45 - 21 = 6x + 21 - 21 or 24 = 6x

Divide by 6 on both sides: 24/6 = 6x/6

Solve for x: x = 4

4 0

3 years ago

Sharma is building a shed and wants to determine the measurements for the roof. The span of the roof will be 10 feet and she pla

Stolb23 [73]

Answer:

In the figure below :

d = 2.08, e = 5, c = 5.42 , a = 22.78°, b = 67.22°

Step-by-step explanation:

Side lengths :

$2\cdot e=10\\ \Rightarrow e=5 feet\\\frac{d}{e}=\frac{5}{12}\\\Rightarrow d=\frac{25}{12}\approx 2.08 feet$

By pythagoras theorem,

$c^2=d^2+e^2\\c^2=29.33\\c\approx 5.42 feet$

Now to find angles,

$a+b+90^{\circ}=180^{\circ}\\\Rightarrow a+b=90^{\circ}\\\tan a=\frac{d}{e}\\\Rightarrow \tan a =0.42\\\Rightarrow a=22.78^{\circ}\\\Rightarrow b=67.22^{\circ}$

5 0

3 years ago

You arrive in Paris with $560. How many euros can you buy?

liq [111]

Answer:

475.69 Euro

Step-by-step explanation:

3 0

3 years ago

Write a recursive formula for the sequence 7, 4, 1, –2, –5, .... Then find the next term. (1 point) an = an–1 – 3, where a1 = –8

Anvisha [2.4K]

4 = 7 - 3

1 = 4 - 3

-2 = 1 - 3

-5 = -2 - 3

=> An = A (n-1) - 3, where A1 = 7

The next term is A6 = A5 - 3 = - 5 - 3 = - 8

So the answer is the fourth option.

3 0

3 years ago

Read 2 more answers

If 5y + 3 = 2y + 9 then find 2y=

Serhud [2]

If you were to solve for y, it would be 2. Therefore 2y would be 4.

5 0

3 years ago