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Pie
3 years ago
13

Jason is installing new carpet in a room. The dimensions of the room are shown in the diagram. what is the area of the floor?​

Mathematics
1 answer:
Sergio [31]3 years ago
7 0
560 ft^2

20ft x 10ft = 200 ft^2
+
12ft x 30ft = 360 ft^2
=
560 ft^2
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Changle. Show all work. Round each length to the nearest tenth and each angle to the
Sedaia [141]

Answer:

Part 1) BC=12.2\ units

Part 2) m\angle A=55^o

Part 3) m\angle C=35^o

Step-by-step explanation:

Part 1) Find AC

we know that

In the right triangle ABC of the figure

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AC^2=AB^2+BC^2

substitute the given values

AC^2=7^2+10^2

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Part 2) Find the measure of angle A

we know that

In the right triangle ABC

tan(A)=\frac{BC}{AB} ----> by TOA (opposite side divided by the adjacent side)

substitute the values

tan(A)=\frac{10}{7}

using a calculator

m\angle A=tan^{-1}(\frac{10}{7})=55^o

Part 3) Find the measure of angle C

we know that

In the right triangle ABC

m\angle A+m\angle C=90^o ----> by complementary angles

substitute the given value

55^o+m\angle C=90^o

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Answer:

10

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