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NNADVOKAT [17]
3 years ago
10

Given triangle DEF where ∠D = (7b +1)∘, ∠E = (2b + 1)∘, and ∠F = ( b + 8)∘. What is the measure of ∠E?

Mathematics
1 answer:
____ [38]3 years ago
3 0
<h3>Answer:  35 (choice C)</h3>

=============================================

Explanation:

For any triangle, the three interior angles always add to 180.

D+E+F = 180

(7b+1) + (2b+1) + (b+8) = 180

(7b+2b+b) + (1+1+8) = 180

10b+10 = 180

10b = 180-10

10b = 170

b = 170/10

b = 17

Use this value of b to find the three angle measures

  • D = 7b+1 = 7*17+1 = 119+1 = 120
  • E = 2b+1 = 2*17+1 = 34+1 = 35 degrees
  • F = b+8 = 17+8 = 25

As a check,

D+E+F = 120+35+25 = 120+60 = 180

which helps confirm the correct answers.

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Given the parent function f(x)=x^3 give the best description of the graph of y=x^3+3 .
umka21 [38]
The correct answer is A. +3, unless inside parentheses, indicates a positive vertical change, thus the function would move upward. If the function looked like 2(x^3 + 3) the change from the +3 would be horizontal (left) instead.
4 0
3 years ago
Michelle and Cody have summer jobs selling newspaper subscriptions door-to-door, but their compensation plans are different. Mic
Dennis_Churaev [7]

Answer:

Step-by-step explanation:

Let x represent the certain number of of subscriptions in an hour that each of them would sell so that they will end up earning the same amount.

Michelle earns a base wage of $8 per hour, as well as $1 for every subscription that she sells. This means that the total cost of selling x subscriptions in an would be

x + 8

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3x + 4

For both of them to earn the same amount,

x + 8 = 3x + 4

3x - x = 8 - 4

2x = 4

x = 4/2 = 2

They would earn the same amount when they sell 2 subscriptions.

The amount that each would earn is

2 + 8 = $10

3 0
4 years ago
Tom knows that in his school 10 out of every 85 students are left-handed. There are 391 students in Toms school. How many are le
fiasKO [112]
The answer would be 46 - This is because you would do 85/10 to find the ratio. Then you would get 8.5. You would take 8.5 then divide 391 by 8.5 getting 46.
5 0
3 years ago
Assume you obtaind the following exam scores from six students: 97,90,86,93,76, and 86
natima [27]
A) The answer is 88
B)I don't know how to do it
3)I don't know 
Sorry I tried


8 0
4 years ago
Read 2 more answers
Simplifying fractions Sheet 2<br>​
raketka [301]

<u>Simplifying fractions:</u>

1) \frac{14}{20} =\frac{7}{10}                  2) \frac{4}{8} =\frac{1}{2}

3) \frac{9}{12} =\frac{3}{4}                  4) \frac{12}{15} =\frac{4}{5}

5) \frac{8}{18} =\frac{4}{9}                  6) \frac{14}{21} =\frac{2}{3}

7) \frac{12}{16} =\frac{3}{4}                  8) \frac{10}{24} =\frac{5}{12}

9) \frac{15}{35}=\frac{3}{7}                 10) \frac{13}{26} =\frac{1}{2}

11) \frac{11}{55}=\frac{1}{5}                12) \frac{9}{21} =\frac{3}{7}

13) \frac{16}{26} =\frac{8}{13}              14) \frac{20}{32} =\frac{5}{8}

15) \frac{18}{24} =\frac{3}{4}               16) \frac{21}{27} =\frac{7}{9}

17) \frac{4}{32} =\frac{1}{8}               18) \frac{25}{40} =\frac{5}{8}

<em>Hope this helps :)</em>

5 0
3 years ago
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