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3 years ago

Find the values of x and y

Mathematics

2 answers:

valentina_108 [34]3 years ago

8 0

Answer:

The answer to your question is x = 90°, y = 43°

Step-by-step explanation:

We can observe that it is an isosceles triangle because two sides have the same length.

In an isosceles triangle, 2 angles measure the same: ∠B = ∠C.

- The sum of the internal angles in a triangle equals 180°.

∠D = 90°

∠A + ∠D + ∠C = 180

∠A + 90° + 47° = 180°

∠A = 180 - 90 - 47

∠A = 43°

y = 43°

Angle x is a right triangle = 90°

LenaWriter [7]3 years ago

7 0

Answer:x= 90 degrees

y = 43 degrees

Step-by-step explanation:

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A phone company offers two packages of service. Package A is $35.00 per month with an additional charge of $0.15 per minute for

ella [17]

Answer: 200 minutes have to be used for the costs of both plans to be the same.

Step-by-step explanation:

Let x represent the number of minutes that have to be used for the costs of both plans to be the same.

Package A is $35.00 per month with an additional charge of $0.15 per minute for long distance. This means that the cost of using package A for x minutes in a month would be

35 + 0.15x

Package B is $45.00 per month with an additional charge of $0.10 per minute for long distance. This means that the cost of using package A for x minutes in a month would be

45 + 0.1x

For both costs to be the same, it means that

35 + 0.15x = 45 + 0.1x

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2 years ago

The amount $5.40 is 9% of what price?

vova2212 [387]

Answer:

Step-by-step explanation:

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5 0

2 years ago

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Blake is playing a racing game on his computer. The game tracks the locations of objects using and y coordinates (see graph belo

Anvisha [2.4K]

<h3>Answer: 2.2 units</h3>

============================================

Explanation:

I'll define these point labels

B = Blake's starting position
F = finish line
C = the third unmarked point of the triangle

The locations of the points are

B = (-8,1)
C = (-6,-3)
F = (4,-2)

Use the distance formula to find the distance from B to C

$B = (x_1,y_1) = (-8,1) \text{ and } C = (x_2,y_2) = (-6,-3)\\\\d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(-8-(-6))^2 + (1-(-3))^2}\\\\d = \sqrt{(-8+6)^2 + (1+3)^2}\\\\d = \sqrt{(-2)^2 + (4)^2}\\\\d = \sqrt{4 + 16}\\\\d = \sqrt{20} \ \text{ ... exact distance}\\\\d \approx 4.47214 \ \ \text{... approximate distance}\\\\$

Segment BC is roughly 4.47214 units long.

Following similar steps, you should find that segment CF is approximately 10.04988 units long.

If Blake doesn't take the shortcut, then he travels approximately BC+CF = 4.47214+10.04988 = 14.52202 units. This is the path from B to C to F in that order.

---------

Use the distance formula again to find the distance from B to F. This distance is about 12.36932 units. He travels this amount if he takes the shortcut.

Subtract this and the previous result we got

14.52202 - 12.36932 = 2.1527

That rounds to 2.2

This is the amount of distance he doesn't have to travel when he takes the shortcut.

In other words, the track is roughly 2.2 units shorter when taking the shortcut.

Side note: Replace "units" with whatever units you're working with (eg: feet or meters).

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Answer:

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2 years ago