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Anton [14]
2 years ago
14

The measure of the vertex angle of an isosceles triangle is 108. Find the measure of a base angle.

Mathematics
1 answer:
pogonyaev2 years ago
8 0

Answer:

Each base angle would be equal to 36 degrees.

Step-by-step explanation:

In order to find the base angle measurements, we need to note that both angles would be equal to each other because it is an isosceles triangle. So, we subtract the vertex angle and then we divide by 2 to get the base angle measurements.

180 - 108 = 72

72/2 = 36 degrees

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Please answer this quick! Worth 23 POINTS!
elena-14-01-66 [18.8K]

Answer:

A) \boxed{m

B) \boxed{XY = 77 degrees}

Step-by-step explanation:

a) <u><em>According to Outside Angles theorem:</em></u>

=> m∠VYW = \frac{1}{2} (VW-VX)

Where mVX = 79, VW = 173

=> m∠VYW = (173-79)/2

=> m<VYW = 94/2

=> m∠VYW = 47 degrees

b) <u><em>According to Angles of Intersecting Chords Theorem:</em></u>

=> m∠VZW = \frac{1}{2} (VW+XY)

Where m∠VZW = 64, VW = 51

=> 64 = 1/2(51+XY)

Multiplying both sides by 2

=> 64*2 = 51+XY

=> 128 = 51+XY

=> XY = 128-51

=> XY = 77 degrees

8 0
3 years ago
PLZ HURRY<br> 8. Find y when x = 3, if y = -4 when x<br> = -9.
lbvjy [14]

Answer:

The answer is 13

Step-by-step explanation:

3 =  - 4 \\  - 9 = y \\ if \: you \: cross \: multiply \: you \: have  \frac{3y}{3}  =  \frac{36}{3} which \: will \: give \: you \: 13

8 0
2 years ago
Read 2 more answers
What is X ? <br> 9(x−1)−8x=−3(x+5).
musickatia [10]

Answer:

x = - 3 / 2 ( in decimal form = - 1.5)

Step-by-step explanation:

9(x - 1) - 8x = -3(x + 5)

left side: 9(x - 1) - 8x

Expand... 9x - 9 - 8x

             = (9x - 8x) - 9

             = 1x - 9 or <em>x - 9</em>

right side: -3(x + 5)

Expand... <em>-3x - 15</em>

         

combine :

x - 9 = -3x - 15

Add 9 to both sides to get x alone

x - 9 + 9 = -3x - 15 + 9

x = -3x - 15 + 9

x = -3x - 6

Add 3x to both sides

x + 3x  = -3x - 6 + 3x

simplified, 4x = -6

Now divided 4 from both sides

4x / 4 = -6 / 4

simplify, x = -6 / 4

You can reduce the fraction by dividing it by 2

(-6 / 2) / (4 / 2) = -3 / 2

Hope this helps, Let me know if you have any questions !

Have a nice day :)

5 0
2 years ago
Y=-1\2+1 with a slope intercept that contains (5,6)
Semenov [28]

Answer:

y - 1/2x + 7/2

Step-by-step explanation:

y = 1/2x + 1

6 = 1/2 (5) + b

6 = 5/2 + b

7/2 = b

8 0
3 years ago
Wich method can you use yo decide wich of several integers has the greatest value?
serg [7]

Answer:

C

The integer with the greatest value is the one that is farthest to the right hand side of the number line

Step-by-step explanation:

The number line is constructed in a way such that we have a center point of zero with positive values to the right of the number line and negative values to the left of the number line.

Moving deeper right, we have an increase in positivity, with the more positive values rightwards, indicating an increase in the numbers to the right

Moving to the left, we have an increase in negativity, but a decrease in value. The negative numbers closer to zero are more positive and command higher values than the values which are farther from zero.

What these indicates is that the more rightward a number, the greater its value

4 0
3 years ago
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