Answer:
<u>The correct answer is D. 69</u>
Step-by-step explanation:
Let's recall that if an exterior angle has its vertex where two rays share an endpoint outside a circle, the measure of that exterior angle is found by dividing the difference between the measures of the intercepted arcs by two.
Therefore, we have:
x = (Measure of arch CD - Measure of arch BD)/2
Replacing with the real values:
x = (210 - 72)/2
x = 138/2 = 69°
<u>The correct answer is D. 69</u>
Option D. 96 is the correct answer.
Explanation:
Let the higher grade be = x
Let the lower grade be = y
As given, The difference of the two grades is 16
or
.... (1)
The sum of one-eighth of the higher grade and one-half of the lower grade is 52.
... (2)
Putting the value of x=16+y in equation (2)






As x=16+y
x=16+80 = 96
Hence, higher grade is 96.
Answer:
38:81
Step-by-step explanation:
There are a total of 81 Astronauts in the space program.
Out of these, 43 are in outer space.
We are to determine the ratio of the number of astronauts on Earth to the total number of astronauts.
Number of Astronauts on Earth = Total Number - Number in Outer Space
=81-43 = 38
Therefore:
Number of astronauts on Earth : The total number of astronauts. = 38:81
A) we know, all the angles in a triangle is equal to 180
So, 35 + 52 + 3(x + 2) = 180
87 + 3x + 6 = 180
3x = 180 - 93
x = 87/3
x = 29
b) Now, Angle C = 3(x + 2)
C = 3(29 + 2)
C = 3(31)
C = 93
Hope this helps!
43×65=2,795 expand form = 2,000+700+90+5=7,795