Answer:
The given statement is true because the person they did their steps correctly
a) Locate a point C so that ABC is a right triangle with m ACB ∠ = ° 90 and the measure of one of the acute angles in the triangle is 45° .
b) Locate a point D so that ABD is a right triangle with m ADB ∠ = ° 90 and
the measure of one of the acute angles in the triangle is30° .
c) Locate a point E so that ABE is a right triangle with m AEB ∠ = ° 90 and
the measure of one of the acute angles in the triangle is15° .
d) Find the distance between point C and the midpoint of segment AB .
Repeat with points D and E.
e) Suppose F is a point on the graph so that ABF is a right triangle
withm AFB ∠ =° 90 . Make a conjecture about the point F.
Step-by-step explanation:
1/2x+2−1/6x=1/6x−1−1/6x
1/3x+2=−1
1/3x+2−2=−1−2
1/3x=−3
3*(1/3x)=(3)*(−3)
x=−9 <- ANSWER
Answer:
Weights of at least 340.1 are in the highest 20%.
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean
and standard deviation
, the zscore of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:

a. Highest 20 percent
At least X
100-20 = 80
So X is the 80th percentile, which is X when Z has a pvalue of 0.8. So X when Z = 0.842.




Weights of at least 340.1 are in the highest 20%.
63degrees
Step-by-step explanation:
there are multiple ways to do this
for one, angle a = angle e (corresponding angles)
angle f + angle e = 180 degrees (angles on a straight line)
angle f = 180 degrees - angle e where angle e = angle a = 117degrees
so angle f = 63 degrees.
Answer:
2/3
Step-by-step explanation:




I hope it helped you