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2 years ago

In the figure below, j || h. Find the values of x and y.

Mathematics

1 answer:

SVEN [57.7K]2 years ago

3 0

Answer:

81°+x=180°[co interior angles]

x=180°-81°

x=99°

x°=(3y+33)°

99°=(3y+33)°

99-33=3y

66=3y

66/3=y

22=y

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Find the endpoint:

scZoUnD [109]

Answer:

The coordinates of Point D are: (-5,-8)

Step-by-step explanation:

The formula for mid-point is given by:

$M = (\frac{x_1+x_2}{2} , \frac{y_1+y_2}{2})$

For the point (x1,y1) and (x2,y2)

Given that

M = (-3, -6)

C = (-1, -4) => (x1,y1)

Putting the values of given points in the formula for mid-point

$(-3,-6) = (\frac{-1+x_2}{2} , \frac{-4+y_2}{2})$

Putting respective coordinates equal

$-3 = \frac{-1+x_2}{2}\\-6 =-1+x_2\\x_2=-6+1\\x_2 = -5\\AND\\-6 = \frac{-4+y_2}{2}\\-12 = -4+y_2\\y_2 = -12+4\\y_2 = -8$

Hence,

The coordinates of Point D are: (-5,-8)

3 0

2 years ago

Suppose a triangle has sides a, b, and c and the angle opposite the side of length a is acute what must be true?

ANTONII [103]

The true statement about the triangle is (a) b^2 + c^2 > a^2

<h3>How to determine the true inequality?</h3>

The sides are given as:

a, b and c

The angle opposite of side length a is an acute angle

The above means that:

The side a is the longest side of the triangle.

The Pythagoras theorem states that:

a^2 = b^2 + c^2

Since the triangle is not a right triangle, and the angle opposite a is acute.

Then it means that the square of a is less than the sum of squares of other sides.

This gives

a^2 < b^2 + c^2

Rewrite as:

b^2 + c^2 > a^2

Hence, the true statement about the triangle is (a) b^2 + c^2 > a^2

Read more about triangles at:

brainly.com/question/2515964

#SPJ1

4 0

2 years ago

(ASAP)<br> Solye for n.<br> 24 = 3(n – 5) <br> n=

Paul [167]

Answer: can u check out the image cuz the answer is in the photo and hope this helps can u give me brainliest

Step-by-step explanation:

24=3(n-5)

Distribute.

24=3(n) + 3(-5)

24 = 3n -15

Add 15 to both sides.

39 = 3n

Divide both sides by 3.

n = 13.

I hope this helps!.

6 0

3 years ago

The half-life of lead is 22 years. How long will it take for a sample of this substance t decay to 80% of its original amount?

Svetlanka [38]

Answer: 7 years

Step-by-step explanation:

$t_{\frac{1}{2} }$ = In2 / ∧

since the half life is given , we have :

22 = In 2/ ∧

∧ = In2/22

∧ = 0.032

Recall the formula for half life:

$\frac{N(t)}{N(0)}$ = $e^{-∧t}$

Therefore:

0.80 = $e^{-0.032t}$

Take the In of both sides

In 0.80 = - 0.032t

t = In 0.80 / - 0.032

t = 7 years

4 0

3 years ago

Find the perimeter of the rectangle.

algol13

All you have to do is find the length of the sides using the distance formula and then add the lengths together to find the perimeter

8 0

3 years ago