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Furkat [3]
3 years ago
11

Measure of Angle 1 is 5x. Measure of Angle 3 is x-24. What is the measure of Angle 1?

Mathematics
1 answer:
olga55 [171]3 years ago
4 0

Answer:

The answer to your question is:  30°

Step-by-step explanation:

Data

m∠ 1 = 5x

m∠ 3 = x - 24

Process

m ∠ 1 = m ∠ 3 because they are vertical angles

            5x = x - 24

            5x - x = 24

            4x = 24

            x = 24 / 4

            x = 6

Angle 1 = 5(6)

            = 30°

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Answer:

d. 6cm, 6cm, 6cm

Step-by-step explanation:

each one of the rulers is lined correctly and shows that it is 6 cm

8 0
2 years ago
What 49/9 as a mixed number
enot [183]

Answer:

5 4/9

Step-by-step explanation:

9 * 5 = 45

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8 0
3 years ago
A scoop of ice cream has 1.5 inch radius. How talk should the cream cone of the same radius be in order to contain all of the ic
MAVERICK [17]

Answer:

The cream cone should be <u>6 inches</u>.

Step-by-step explanation:

Given:

A scoop of ice cream has 1.5 inch radius.

Now, to find the height of the cream cone.

So, we need to get the volume of scoop by putting formula:

Radius (r) = 1.5 inch.

Using the value π = 3.14.

Volume=\frac{4}{3} \pi r^3

Volume=\frac{4}{3}\times 3.14\times 1.5^3\\\\Volume=\frac{4}{3}\times 3.14\times 3.375\\\\Volume=14.13\ inches^3.

<em>Thus, the volume of the ice cream scoop is 14.13 cubic inches.</em>

<em>So, to put all of the ice cream inside the cone.</em>

<em>We take the cream cone volume as the scoop volume.</em>

Let the height of cone be h.

<em>As, given radius is same.</em>

Now, to get the height of the cream cone we put formula of volume:

Volume=\pi r^2\frac{h}{3}

14.13=3.14 \times (1.5)^2\times \frac{h}{3}\\\\14.13=3.14\times 2.25\times \frac{h}{3}

<em>Multiplying both sides by 3 we get:</em>

<em />42.39=3.14\times 2.25\times h\\\\42.39=7.065\times h<em />

<em>Dividing both sides by 7.065 we get:</em>

6=h

h=6\ inches.

<u><em>Hence, the height of the cone = 6 inches.</em></u>

Therefore, the cream cone should be 6 inches.

7 0
3 years ago
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gayaneshka [121]

Answer:

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Step-by-step explanation:

8 0
2 years ago
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elixir [45]

$78

The difference between choice A and B is 5 meals and $80 so 1 meal is $16. So we can subtract $16 from $250 and we get $234 for 3 nights. 1 night is $78

8 0
3 years ago
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