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Alenkinab [10]
3 years ago
13

DE is tangent to Circle C at point D. What is the measure of Enter your answer in the box.

Mathematics
1 answer:
creativ13 [48]3 years ago
5 0

Answer:

39°

Step-by-step explanation:

A radius of a circle (segment CD) drawn to the point of tangency (D) intersects the tangent (line DE) at a 90-deg angle.

That makes m<D = 90.

m<D + m<C + m<E = 180

90 + 51 + m<E = 180

m<E = 39

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Step-by-step explanation:

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A shop has 55 posters for sale. 34 posters show sports. The rest of the posters show animals. How many posters show animals?
xeze [42]
This is a subtraction problem so it would read 55-34 and the answer is 21 posters are animals.
8 0
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A building across the street casts a shadow that is 24 feet long your friend is 6 feet tall and casts a shadow that is 4 feet lo
matrenka [14]

6/4=b/24

1.5=b/24

24(1.5)=b

36=b

Building is 36 ft tall

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3 years ago
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Starting at the same point at the same time, Samuel and Heather rode their bikes in the same direction. Samuel traveled 3km/h fa
12345 [234]

Samuel was going with 40 km/h and Heather was going with 37 km/h

Step-by-step explanation:

Starting at the same point at the same time, Samuel and Heather rode their bikes in the same direction

  • Samuel traveled 3 km/h faster than Heather
  • After 3.5 h Samuel stopped for a half-hour break, but Heather kept going
  • Heather was 8 km ahead of Samuel

We need to find how fast each was going

Assume that Heather's speed is x km/h

∵ Heather's speed = x km/h

∵ Samuel traveled 3 km/h faster than Heather

∴ Samuel's speed = x + 3 km/h

The formula of the distance is distance = speed × time

∵ Samuel travel for 3.5 hours

- Find the distance that Samuel traveled in 3.5 h

∴ Samuel distance = (x + 3) × 3.5

- Multiply the bracket by 3.5 to simplify

∴ Samuel distance = 3.5x + 10.5

∵ Samuel took a break for half hour

∵ Heather kept going

∵ At the end of the break, Heather was 8 km ahead of Samuel

- That means Heather was going for 4 hours (3.5 + 0.5), and her

   distance is longer than Samuel distance by 8 km

∴ Heather distance = x × 4 = 4x

- Subtract the distance of Samuel from the distance of Heather

   and equate the difference by 8

∵ 4x - (3x + 10.5) = 8

∴ 4x - 3x - 10.5 = 8

- Add the like terms in the left hand side

∴ 0.5x - 10.5 = 8

- Add 10.5 to both sides

∴ 0.5x = 18.5

- Divide both sides by 0.5

∴ x = 37

∵ x represents Heather's speed

∴ Heather's speed = 37 km/h

∵ x + 3 represents Samuel's speed

∴ Samuel's speed = 37 + 3 = 40 km/h

Samuel was going with 40 km/h and Heather was going with 37 km/h

Learn more:

You can learn more about the equation of motion in brainly.com/question/568302

#LearnwithBrainly

3 0
3 years ago
NEED HELP!!!
AnnyKZ [126]

Answer:

see explanation

Step-by-step explanation:

(1)

\frac{6}{2} = \frac{4}{p} ( cross- multiply )

6p = 8 ( divide both sides by 6 )

p = \frac{8}{6} = \frac{4}{3}

(2)

\frac{n}{4} = \frac{8}{7} ( cross- multiply )

7n = 32 ( divide both sides by 7 )

n = \frac{32}{7}

(3)

\frac{5}{3} = \frac{x}{4} ( cross- multiply )

3x = 20 ( divide both sides by 3 )

x = \frac{20}{3}

6 0
3 years ago
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