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almond37 [142]
3 years ago
14

Please help me 10 points

Mathematics
1 answer:
nignag [31]3 years ago
3 0
Tbh, 10 points isn’t much.
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In parallelogram ABCD measure angle A=(2x) and measure angle B=(5x+5). what are the measures of the angles of the parallelogram
iragen [17]

Opposite angles are equal, so we know that C=2x and D=5x+5 as well.

The sum of the interior angles of any quadrilateral is 360, so we have

2(2x+5x+5)=2(7x+5)=360 \iff 7x+5=180 \iff 7x=175 \iff x=25

So, the measures of the angles are

2x=50,\quad 5x+5=130

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3 years ago
A yardstick casts a shadow of 24 in. At the same time a telephone pole casts a shadow of 20 ft 8 in. What is the height of the t
finlep [7]

Answer:

372 inches

Step-by-step explanation:

(1 yd = 36 in., and 1 ft = 12 in.)

1 yard stick = 24 in

This means , height of 36 inches casts a shadow of 24 Inches

At the same time a telephone pole casts a shadow of 20 ft 8 in

1 ft = 12 in

Hence,

Convey 20ft to inches

1 ft = 12 in

20 ft = 20 × 12 inches

= 240 inches

Total shadow of the telephone pole = 240in + 8 in = 248 = 248 inches

Hence,

Height/Length of shadow = Height/Length of shadow

36/24= x /248

Cross Multiply

24 × x = 36× 248

x = 36 × 248/24

x = 372 inches

The height of the telephone pole, to the nearest inch is 372 inches

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3 years ago
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Answer:

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Step-by-step explanation:

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3 years ago
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Step-by-step explanation:

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