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Tanzania [10]
3 years ago
10

Solve for the indicated arc or angle in the diagram and match it to the correct solution at the bottom of the page.

Mathematics
1 answer:
hjlf3 years ago
7 0

Answer:

106°

Step-by-step explanation:

The angle CAB is an inscribed angle of the arc mBC, so we have that:

mBC = 2*CAB

So we have that mBC = 2*37 = 74°

The segment AC is a diameter of the circle, so mAC = 180°

The ? angle is the arc mAB, which is the difference of mAC and mBC, so:

mAB = mAC - mBC = 180 - 74 = 106°

So the ? angle is 106°.

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(5x+2) and {3(x+14)} what is
Phoenix [80]

Answer:

Step-by-step explanation:

x=20

Reorder the terms:

(2 + 5x) = 3(x + 14)

Remove parenthesis around (2 + 5x)

2 + 5x = 3(x + 14)

Reorder the terms:

2 + 5x = 3(14 + x)

2 + 5x = (14 * 3 + x * 3)

2 + 5x = (42 + 3x)

Solving

2 + 5x = 42 + 3x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-3x' to each side of the equation.

2 + 5x + -3x = 42 + 3x + -3x

Combine like terms: 5x + -3x = 2x

2 + 2x = 42 + 3x + -3x

Combine like terms: 3x + -3x = 0

2 + 2x = 42 + 0

2 + 2x = 42

Add '-2' to each side of the equation.

2 + -2 + 2x = 42 + -2

Combine like terms: 2 + -2 = 0

0 + 2x = 42 + -2

2x = 42 + -2

Combine like terms: 42 + -2 = 40

2x = 40

Divide each side by '2'.

x = 20

Simplifying

x = 20

7 0
4 years ago
PLEASE PLEASE HELP ill give FREE points plus BRAINLIEST !!
Tanya [424]

Answer:b

Step-by-step explanation:

7 0
4 years ago
Read 2 more answers
Find the measure of each interior angle and each exterior angle of a regular 20-gon (a twenty-sided polygon).Measure of each int
ra1l [238]

Given a regular 20-gon ( a 20 sided polygon )

The measure of each interior angle will be given by:

\frac{(n-2)}{n}\cdot180

where n is the number of sides

Substitute with n = 20

So, the measure of each interior angle =

\frac{20-2}{20}\cdot180=\frac{18}{20}\cdot180=162

The sum of exterior angles = 360

So, the measure of each exterior angle = 360/20 = 18

5 0
1 year ago
G) There are 3 boys and 2 girls in the Krunch family. Mr.
timurjin [86]

Answer:

0.6 pounds each

Step-by-step explanation:

3+2=5

3/5 or 3÷5= 0.6

4 0
3 years ago
Read 2 more answers
∠QPS is a right angle and m∠QPR = 71°, what is m∠RPS?
natta225 [31]

Answer: <RPS = 161

Step-by-step explanation:

P is the common vertex in all of these angles. From this we know that these have to be adjacent angles (<QPR and <QPS) that equal the whole angle (<RPS)

<QPR+<QPS= <RPS

71+90= 161

(<QPS is a right angle. Right angles are equal to 90 degrees.)

8 0
3 years ago
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