Answer: The measurement of ∠EFG is equal to 70°.
Step-by-step explanation:
Two interior angles who are always opposite to an exterior angle sums to that exterior angle. So we would start as the following:
(6x - 10) + 38 = 7x + 18
In order to find m∠EFG, we must first isolate x. In order to do that, we first add like terms together on both sides.
(6x - 10) + 38 = 7x + 18
6x + 28 = 7x + 18
We then substract 18 on both sides.
6x + 10 = 7x
We finally substract 6x from both sides in order to have the value of x.
x = 10
Now that we know the value of x, we substitute it in our the equation in order to find m∠EFG.
m∠EFG = 6x + 10
m∠EFG = 6(10) + 10
m∠EFG = 60 + 10
m∠EFG = 70
The data are20, 6, 42, 13, 15, 10, 9, 12, 12You can arrange the numbers from least to greatest6, 9, 10, 12, 12, 13, 15, 20, 42
The mean of this data set is 15.44
The median is 12
The mode is 12
Since the data is normally distributed, the correct measure of center is the mean.
Answer:
The third one
Step-by-step explanation:
All show complementary angles ( angles that add up to 90 degrees ) except for the third one
First one: shows a square within the two angles which indicates that the angles form a right angle ( 90 degree angle ) meaning that they are complementary angles
Second: the angles add up to equal 90 ( 50 + 40 = 90 ) hence they are complementary angles
Third one: the angles form a straight line. Angles that form a straight line add up to equal 180 and are known as supplementary angles
Fourth: the angles shown add up to 90 ( 65 + 25 = 90) hence they are complementary angles
All are complementary but the third one
