If two triangles are congruent, then they have equal corresponding angles and also the sides.
Therefore, if GHI is congruent to LMN, then GH =LM, HI=MN and GI=LN, and also angle G=angle L, Angle H=angle M, while angle I = angle N, therefore the correct answers is a) ∠M= ∠H, c) ∠L=∠G. and e)IH=NM.
Answer:
The cost of per kilogram of salami is = $9.1
Step-by-step explanation:
Given:
Hailey paid $13 for
kg of sliced salami.
To find cost per kilogram of salami.
Solution:
We will apply unitary method to find per kilogram cost of salami.
If
kg of salami costs = $13
Then 1 kg of salami will cost in dollars will be = 
In order to divide by mixed numbers, we will convert mixed numbers to fractions.
⇒ 
⇒ 
In order to divide by fractions we will take reciprocal of divisor and then multiply.
⇒ 
⇒ 
⇒ 
⇒ 
Thus, cost of per kilogram of salami is = $9.1
84 increased by 12% of 84 = (1)84 + (0.12)84, or (1.12)84 = $94.08
Answer:
26.11% of the test scores during the past year exceeded 83.
Step-by-step explanation:
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean
and standard deviation
, the zscore of a measure X is given by

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:
It is known that for all tests administered last year, the distribution of scores was approximately normal with mean 78 and standard deviation 7.8. This means that
.
Approximately what percentatge of the test scores during the past year exceeded 83?
This is 1 subtracted by the pvalue of Z when
. So:



has a pvalue of 0.7389.
This means that 1-0.7389 = 0.2611 = 26.11% of the test scores during the past year exceeded 83.