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V125BC
2 months ago
13

If m abf=7b-24 and m Abe = 2b what is m EBF

Mathematics
1 answer:
Inessa [12.5K]2 months ago
3 0
Since m∠abe = 2b, and angle abe consists of angles abf and ebf, we can write:
m∠abe = m∠abf + m∠ebf
To find m∠ebf, rearrange:
m∠ebf = m∠abe - m∠abf
Substitute the given expressions:
m∠ebf = 2b - (7b - 24)
Simplify:
m∠ebf = 2b - 7b + 24
m∠ebf = -5b + 24.
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Answer: C) HF measures 4 units and GH is 2 units.

Step-by-step explanation:

The SSS similarity theorem asserts that triangles are similar if the lengths of their corresponding sides are in proportion.

For triangles ΔDFE and ΔGFH:

DG equals 15, GF is 5, EH equals 12, and DE is 8.

To demonstrate the similarity of ΔDFE and ΔGFH according to the SSS similarity theorem, we require:

\frac{DF}{GF}=\frac{FE}{FH}=\frac{DE}{GH}\\\\\Rightarrow\frac{DG+GF}{GF}=\frac{FH+EH}{FH}=\frac{DE}{GH}\\\\\Rightarrow\frac{5+15}{5}=\frac{12+HF}{FH}=\frac{8}{GH}\\\\\Rightarrow\frac{20}{5}=\frac{12+HF}{FH}\ and\ \frac{20}{5}=\frac{8}{GH}\\\\\Rightarrrow4HF=12+HF\ and\ GH=\frac{8}{4}\\\\\Rightarrow3HF=12\ and\ GH=2\\\\\Rightarrow HF=4\ and\ GH=2

Thus, to confirm that △DFE is similar to △GFH utilizing the SSS similarity theorem and the data from the diagram, it is essential to establish that HF measures 4 units and GH measures 2 units.

5 0
1 month ago
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To investigate whether or not sexism was present in the workplace, 48 male bank supervisors were each given a personnel file and
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There is clear favoritism present. However, it is crucial to examine not just how many women were promoted in comparison to men but also the rate of promotion within each group. In the case of men, 21 out of 24 received promotions, indicating a substantial rate of 87.5%. In contrast, for women, only 14 out of 24 were promoted, which is 58.3%, just over half. Therefore, we can conclude that there is a distinct bias favoring male employees.
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14 days ago
Josh bought 20 shares of Netflix at $117.98. A year later, he bought 20 more shares at $124.32. He later sold all of his shares
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<span>$4846.00*1.02 = $4942.92 </span>

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<span>$5036.42 - $4942.92 = $93.50, 
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23 days ago
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If we want to provide a 95% confidence interval for the mean of a population, the confidence coefficient will be
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Please clarify the question as I don't quite understand it.

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1 month ago
Six times Jason's collection of books and one-third of Nathan's collection add up to 134 books. One-third of Jason's collection
zzz [12365]

Response:

j = 21 and n = 14

Step-by-step breakdown:

We start with the equations:

6j + n/3 = 134

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j = 21

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7 + n = 31

n = 14

Please consider marking it as the best answer:)

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