<h3>Answer: Choice B) 8.57</h3>
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Explanation:
The triangles are similar through the AA (angle angle) similarity rule. Note how the angle markers correspond and match up. Example: angle C and angle F both have triple angle markers to indicate these angles are congruent.
The corresponding sides pair up to form equal fractions. AB and DE form AB/DE which is equal to AC/DF, as these two sides correspond as well.
Therefore: AB/DE = AC/DF
Let's plug in the given values and isolate x
AB/DE = AC/DF
11/7 = (15+x)/15 ...... substitution
11*15 = 7*(15+x) ....... cross multiply
11*15 = 7*15+7*x ...... distribute
165 = 105+7x
165-105 = 105+7x-105 ..... subtract 105 from both sides
60 = 7x
7x = 60
7x/7 = 60/7 ............ divide both sides by 7
x = 8.57142857142858
x = 8.57 ..... rounding to the nearest hundredth
Answer: 50a+2
Step-by-step explanation:
1. Simplify 5a5a\5a5a to 1.
1+5×10a+10
2.Simplify 5×10a to 50a.
1+50a+10
3.Cancel 10.
1+50a+1
4. Collect like terms.
50a+(1+1)
5. Simplify.
50a+2
Answer:
Following are the answer to this question:
Step-by-step explanation:
Given:
n = 30 is the sample size.
The mean 
= 7.3 days.
The standard deviation = 6.2 days.
df = n-1
The importance level is 
= 0.10
The table value is calculated with a function excel 2010:
The method for calculating the trust interval of 90 percent for the true population means is:
Formula:
It can rest assured that the true people needs that middle managers are unavailable from 5,37 to 9,23 during the years.
