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Crazy boy [7]
4 years ago
11

The measures of one of the angles of a triangle is 35.The sum of the measures of the other two angles is 145 and the difference

between their measures is 15. What are the measures of the unknown angles
Mathematics
1 answer:
jok3333 [9.3K]4 years ago
8 0

Answer:

The measures of the angles are 65° and 80°

Step-by-step explanation:

One of the angles is 35°

We know that the other two angles have a difference of 15°

With this knowledge we can write an equation.

2x symbolizes the two angles

+15 symbolizes the difference between the two angles

145 = 2x + 15

145 - 15 = 130

2x = 130

x = 65

65 is the size of one of the angles.

Next, we add 15 to 65 and we get 80

80 is our second angle

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By what percent will a fraction decrease if its numerator is increased by 20% and its denominator is increased by 50%?
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  20%

Step-by-step explanation:

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5 0
4 years ago
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3.) SOLVE FOR X.
gayaneshka [121]

The value of x in the secants intersection is 1 units

The value of NM in the tangent and secant intersection is 51 units

<h3>How to find length when secant and tangent intersect?</h3>

The first question, two secant intersect outside the circle.

Therefore,

(6x + 8x)8x = (9 + 7)7

14x(8x) = 16(7)

112x² = 112

x² = 112 / 112

x = √1

x = 1

The second question, tangent and secant intersect,

Therefore,

(x + 3)² = (x - 3)(16 + x - 3)

(x + 3)² = (x - 3)(x + 13)

(x + 3)(x + 3) = (x - 3)(x + 13)

x² + 3x + 3x + 9 = x² + 13x - 3x - 39

x² + 9x + 9 = x² + 10x - 39

x² - x² + 9x - 10x = -39 - 9

-x = - 48

x = 48

NM = 48 + 3 = 51 units

learn more on secant and tangent here: brainly.com/question/12477905

#SPJ1

6 0
2 years ago
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