Answer:
X = 11
X = 7
Step-by-step explanation:
Part 1:
The measure of an inscribed angle is half the measure of an intercepted arc. So 1/2 mCE = m∠CDE
158 ÷ 2 = 79
You need to find x so you're going to set your equation of (8x - 9) = 79
Then you're going to add 9 to both sides to get 8x = 88
Divide both sides by 8 to get x = 11
Part 2:
We know that WY is 180 because it's a semicircle. Using this and the knowledge that ∠WXY is half the measure of the intercepted arc (180), we know that our equation should be (13x - 1) = 90
add 1 to both sides and our equation is (13x = 91)
Divide both sides by 13 and...
x = 7
Answer:
It will be biased.
Step-by-step explanation:
By surveying only grades 1, 2, and 3, she is not taking a representation of the entire school. It is possible that the popular color or the color the students like would change over time and the opinion of the younger kids could be different from that of the older kids. Therefore, the sample is biased unless she surveys students from all grades.
Answer:
254.5
Step-by-step explanation:
Answer:
32,432,400
Step-by-step explanation:
This you can use a permutation.
P(15,7)15x14x13x12x11x10x9
There are 32,432,400 ways to arrange it.
Answer:
Measure of angle A = 55°.
Step-by-step explanation:
From the picture attached,
2 = 2
Corresponding sides of the given triangles ΔACB and ΔNLM are proportional.
Therefore, ΔACB ~ ΔNLM.
m∠A = 180° - (90° + 35°) [By triangle sum theorem]
= 180° - 125°
= 55°
Measure of angle A is 55°.
