Answer: the answer is 50
Step-by-step explanation: I got it right in the quiz
Answer: 59 degrees
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Work Shown:
We have the three angles:
angle A = (3x+2) degrees
angle B = (2x+7) degrees
angle C = 41 degrees
Rule: for any triangle, the three angles add up to 180 degrees
(angle A) + (angle B) + (angle C) = 180
(3x+2) + (2x+7) + (41) = 180
3x+2 + 2x+7 + 41 = 180
(3x+2x)+(2+7+41) = 180
(5x)+(50) = 180
5x+50 = 180
5x+50-50 = 180-50
5x = 130
5x/5 = 130/5
x = 26
Now use this x value to find the measure of angle B
angle B = (2x+7) degrees
angle B = (2*x+7) degrees
angle B = (2*26+7) degrees
angle B = (52+7) degrees
angle B = 59 degrees
Side Note: Angle A is 80 degrees (3x+2 = 3*26+2 = 78+2 = 80)
Another thing to note: A+B+C = 80+59+41 = 180
The value of f(h(2)) =2 and h(f(16))= 14
<h3>What is function?</h3>
Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input . Mapping or transformation is used to denote a function in math. These functions are usually denoted by letters . The domain is defined as the set of all the values that the function can input while it can be defined. The range is all the values that come out as the output of the function involved.
given:
f(x)= √x-1 , h(x)= x² + 5
Now,
f(h(2))= f( (2)² +5 )
=f(4+5)
=f(9)
=√9-1
= 3-1
=2
h(f(16)) = h( √16-1)
=h( 4-1)
=h(3)
=3² + 5
=9+5
=14
Learn more about function here:
brainly.com/question/12431044
#SPJ1
Answer:
The dividend is 360, divisor is 6 and quotient is 60.
Step-by-step explanation:
Factors of 3= 3*1
Factors of 18= 3*2*3
Factors of 60= 3*2*2*5
Taking LCM= 3*2*2*2*3*5= 360
60 is a factor of 360
The dividend is 360
If 360 is divided by 6 we get 60 which is a multiple of 3
and 6 is a factor of 18.
Therefore the dividend is 360 divisor is 6 and quotient is 60.
Answer:
range = 9
Step-by-step explanation:
The range is the difference between the largest and smallest values
largest value = 12
smallest value = 3
range = 12 - 3 = 9
