Answer: Choice C) 115 degrees
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Explanation:
The three angles are 42, 73 and 65 degrees. Let's call them x,y, and z respectively
x = 42
y = 73
z = 65
To find an exterior angle for x, we subtract the given angle x from 180
180-x = 180-42 = 138
The exterior angle adjacent to angle x is 138 degrees. This isn't listed so we move on
Do the same for y
180-y = 180-73 = 107
This isn't listed either. So we move on
Repeat for angle z
180-z = 180-65 = 115
This is listed as choice C. That's why choice C is the answer
Answer:
x = -7/2
Step-by-step explanation:
-2(5x - 3) = 41
Distribute the -2 inside the parenthesis.
-10x + 6 = 41
Subtract 6 from both sides.
-10x = 35
Divide both sides by -10.
x = 35/-10
Simplify the fraction.
x = -7/2.
Proof:
-2(5x - 3) = 41
Substitute variable.
-2(5(-7/2) - 3) = 41
Multiply 5 and -7/2.
-2(-35/2 - 3) = 41
Turn 3 into a fraction with denominator 2.
-2(-35/2 - 6/2) = 41
Subtract 6/2 from -35/2.
-2(-41/2) = 41
Multiply -2 and -41/2.
41 = 41.
Answer:
-2.2, -1 7/10, 1.7, 3 1/4
When you multiply a fraction you simply multiply the top two numbers or numerators and then you multiply the denominator or bottom number.
3/4 x 5/8 = 15/32
Step-by-step explanation:
Use calculator:
sin x = 0.4 --> arc
x=23∘58
Trig unit circle gives another arc x that has the same sin value:
x=180−23.58
=156∘42
Answers for (0, 360)
23∘58,156∘42
