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Mazyrski [523]
3 years ago
15

Find the measure of the missing angle Answer: a=

Mathematics
1 answer:
statuscvo [17]3 years ago
6 0

Answer:

C + 88 = 180

-88         -88

C and B = 92

Since C is vertical to B that means both values are the same. Therefore the values of c and b is 92 degrees.

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4 0
3 years ago
What is the equation for |3x-4| = |2x+3|?
Orlov [11]

Answer:

x=-1

Step-by-step explanation:

The lines stand for absolute value ( how far a number is from 0), so each number should be a positive, then you just solve for x. Isolate x, then divide on both sides, and you should get -x=1, which is equal to x=-1.

7 0
3 years ago
Circle a has a radius of 3 and circle b has a radius of 11. if the idstance between the center of the circles in 17, find the le
Andrews [41]
Use Pythagorean Theorem:
a² + b² = c²
"a" is one side of the right triangle.
Its length is: radius of larger circle minus radius of smaller circle: (11 - 3 = 8)
The distance between the center of the circles creates the hypotenuse (17)
8² + b² = 17²
       b² = 225
       b = 15

Answer: the length of the common external tangent is 15.

3 0
3 years ago
find the smallest number of terms of the AP "-54,-52.5,-51,-49.5" ....that must be taken for the sum of the terms to be positive
wel

The smallest number of terms of the AP that will make the sum of terms positive is 73.

Since we need to know the number for the sum of terms, we find the sum of terms of the AP

<h3>Sum of terms of an AP</h3>

The sum of terms of an AP is given by S = n/2[2a + (n - 1)d] where

  • n = number of terms,
  • a = first term and
  • d = common difference

Since we have the AP "-54,-52.5,-51,-49.5" ....", the first term, a = -54 and the second term, a₂ = -52.5.

The common difference, d = a₂ - a

= -52.5 - (-54)

= -52.5 + 54

= 1.5

<h3>Number of terms for the Sum of terms to be positive</h3>

Since we require the sum of terms , S to be positive for a given number of terms, n.

So, S ≥ 0

n/2[2a + (n - 1)d] ≥ 0

So, substituting the values of the variables into the equation, we have

n/2[2(-54) + (n - 1) × 1.5] ≥ 0

n/2[-108 + 1.5n - 1.5] ≥ 0

n/2[1.5n - 109.5] ≥ 0

n[1.5n - 109.5] ≥ 0

So, n ≥ 0 or 1.5n - 109.5 ≥ 0

n ≥ 0 or 1.5n ≥ 109.5

n ≥ 0 or n ≥ 109.5/1.5

n ≥ 0 or n ≥ 73

Since n > 0, the minimum value of n is 73.

So, the smallest number of terms of the AP that will make the sum of terms positive is 73.

Learn more about sum of terms of an AP here:

brainly.com/question/24579279

#SPJ1

4 0
2 years ago
Area of octagon with radius 5?
Montano1993 [528]
I got 200 from a octagon with the diameter of 10
3 0
3 years ago
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