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anastassius [24]
3 years ago
11

The measure of an angle exceeds 3 times its supplement by 4. Find the measure of the angles.

Mathematics
1 answer:
Dafna11 [192]3 years ago
4 0
X=3y+4, y=y
x+y=180, 3y+4+y=180, 4y+4=180
4y+4=180
4y=176
y=44
x=3(44)+4, x=132+4, x=136

(I am not a very good artist in this case:)

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Solve for xxx. 12x+7 4012x+7 4012, x, plus, 7, is less than, minus, 11, start color #ed5fa6, start text, space, O, R, space, end
gregori [183]

Answer:

<h2>x < -3/2 and x>48/5</h2>

Step-by-step explanation:

Given  the inequality function 12x+7< -11 and 5x-8>40, we are to solve for the value of x. To solve for x, the following steps must be followed.

For the inequality 12x+7< -11

Step 1: Subtract 7 from both sides of the inequality

12x+7-7< -11-7

12x < -18

Step 2: Divide both sides of the inequality by 12

12x/12 < -18/12

x < -3/2 .............. 1

For the inequality 5x-8> 40;

Step 1: Add 8 to both sides of the inequality

5x-8+8 > 40+8

5x > 48

Step 2: Divide both sides of the inequality by 5

5x/5 > 48/5

x>48/5....... 2

Combining equation 1 and 2, we will have;

x < -3/2 and x>48/5

If x>48/5 then 48/5<x

Combining 48/5<x with x < -3/2  will give  48/5<x<-3/2

4 0
3 years ago
Which is a true statement about any two congruent chords in a circle? A.They are parallel. B.They are perpendicular. C.They form
Tom [10]
Its D. they are equidistant from the center of the circle , just took the test and that was the answer on apex
7 0
3 years ago
Read 2 more answers
8/15(−23) in simplest form
Ilia_Sergeevich [38]
12 4/15 is the answer simplified
6 0
4 years ago
Read 2 more answers
Find the value of x.<br><br>• 5<br>• 20<br>• 40<br>• 45​
insens350 [35]

Answer:

3rd option: x= 40

Step-by-step explanation:

4x° +20°= 180° (adj. ∠s on a str. line)

<em>Bringing</em><em> </em><em>constants</em><em> </em><em>to</em><em> </em><em>1</em><em> </em><em>side</em><em>:</em>

4x°= 180° -20°

<em>Simplify</em><em>:</em>

4x°= 160°

<em>Divide</em><em> </em><em>by</em><em> </em><em>4</em><em> </em><em>on</em><em> </em><em>both</em><em> </em><em>sides</em><em>:</em>

x°= 40°

Thus, x=40.

7 0
3 years ago
Find the measure of each angle.
Galina-37 [17]

<u>Given</u>:

Given that the isosceles trapezoid JKLM.

The measure of ∠K is 118°

We need to determine the measure of each angle.

<u>Measure of ∠L:</u>

By the property of isosceles trapezoid, we have;

\angle K+\angle L=180^{\circ}

118^{\circ}+\angle L=180^{\circ}

           \angle L=62^{\circ}

Thus, the measure of ∠L is 62°

<u>Measure of ∠M:</u>

By the property of isosceles trapezoid, we have;

\angle L \cong \angle M

Substituting the value, we get;

62^{\circ}=\angle M

Thus, the measure of ∠M is 62°

<u>Measure of ∠J:</u>

By the property of isosceles trapezoid, we have;

\angle J \cong \angle K

Substituting the value, we get;

\angle J =118^{\circ}

Thus, the measure of ∠J is 118°

Hence, the measures of each angles of the isosceles trapezoid are ∠K = 118°, ∠L = 62°, ∠M = 62° and ∠J = 118°

4 0
3 years ago
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