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3 years ago

Find the value of x and y.

Mathematics

2 answers:

kirill [66]3 years ago

6 0

Answer:

Option b) x = 15, y = 17

Step-by-step explanation:

In this picture the two lines are intersecting each other at point. Measurement of one angle is 112° and opposite angle of 112° is (7x+7)

Since we know opposite angles are always equal

Therefore 112 = 7x + 7

7x = 112 - 7 = 105

7x = 105

x = 105/7 = 15

Since (7x + 7) + 4y = 180° (sum of all angles on a line is 180°)

7×15 + 7 + 4y = 180

105 + 7 + 4y = 180

4y = 180 - 112= 68

y = 68/4 = 17

Therefore Option b is the right option.

VikaD [51]3 years ago

3 0

The answer would be B. Hope this helped!

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Answer:

The distance of the point from the origin = 9.29 units.

Step-by-step explanation:

Given point:

(7,-6)

The angle lies such that the terminal side of the angle contains the given point.

To draw the angle and find the distance from the origin to the given point.

Solution:

The terminal side of the angle is where the angle ends with the initial side being the positive side of the x-axis.

So, we can plot the point (7,-6) by moving 7 units on the x-axis horizontally and -6 units on the y-axis vertically.

We can find the distance of the point from the origin by find the hypotenuse of the triangle formed.

Applying Pythagorean theorem.

$Hypotenuse^2=Shorter\ Leg^2+Shortest\ Leg^2$

$Hypotenuse^2 = (7)^2+(-6)^2$

$Hypotenuse^2=49+36\\Hypotenuse^2=85$

Taking square root both sides :

$\sqrt{Hypotenuse^2}=\sqrt{85}$

$Hypotenuse = 9.29\ units$

Thus, the distance of the point from the origin = 9.29 units.

The figure is shown below.

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3 years ago

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SVETLANKA909090 [29]

Hello There!

An example of this would be:
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Hope This Helps You!
Good Luck :)

- Hannah ❤

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