This is asking what is z and y, so you must know that a triangle is 180 degrees, so if it is 180 degrees, than all three angles that the triangle has must add up to 180 for every single triangle for it to be a triangle. So you have 45 degrees and 47 degrees, which adds up to 92 degrees, so in order to find y you need to subtract 92 from 180, which is 88. 88 is the missing number, and the missing number in this triangle is y, so y= 88 degrees. This can fool you because it looks like 90 degrees, but it is actually 88. Z is a little trickier, because y isn't 90 degrees, if it was than z would be a direct reflection of y, but it isn't, so we must find the exact angle for this variable. I see it like this, if y is 88, than it is smaller than 90 obviously, so it is acute. If that line keeps going down, than really z would be bigger than y, because that line is going down but it is so hard to tell. So if y is smaller by 2 degrees, than z would be bigger by 2 degrees, meaning that z is 92 degrees, since it is slowly decreasing. Hope this helps
Answer:
38 in
Step-by-step explanation:
P=w+w+h+h=18+18+6+6=26+12=38 in
One batch = 3 3/4 + 1 5/8
one batch = 3 6/8 + 1 5/8
one batch = 4 11/8
one batch = 5 3/8 pound of flour
One week = 86 pound
86 ÷ 5 3/8 = 86 ÷ 43/8
86 ÷ 5 3/8 = 86 x 8/43
86 ÷ 5 3/8 =16
She makes 16 batches of pasta
Answer:
The top 20% of the students will score at least 2.1 points above the mean.
Step-by-step explanation:
When the distribution is normal, we use 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.
The mean of a certain test is 14 and the standard deviation is 2.5.
This means that 
The top 20% of the students will score how many points above the mean
Their score is the 100 - 20 = 80th percentile, which is X when Z has a pvalue of 0.8. So X when Z = 0.84.
Their score is:
16.1 - 14 = 2.1
The top 20% of the students will score at least 2.1 points above the mean.
Angle m∠8 =41° and x=10°
Step-by-step explanation:
Given that m∠3=139° then
m∠3=m∠1 = corresponding angles = 139° and m∠7=m∠5=m∠3=139°
m∠8= 180°-139° =41° -sum of angles on a straight line
m∠8=m∠6=m∠4=m∠2= 41°
2.
Given that m∠3=8x+70° and m∠8=4x-10° then you can find the value of x as;
m∠3+m∠8=180°
8x+70°+4x-10°=180°
12x+60°=180°
12x=180°-60°
12x=120°
12x/12 =120°/12
x=10°
Hence,
m∠3=8x+70° = 8*10 +70° = 80°+70°=150°
m∠8= 4x-10° = 4*10 - 10° = 40°-10° =30°
m∠1 =m∠3 = m∠5 = m∠7 =150°
m∠2 = m∠ 4 = m∠6 = m∠8 =30°
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Angles : brainly.com/question/12157314
Keywords : parallel lines, transversal, angles
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