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fiasKO [112]
3 years ago
8

What additional information do you need to prove ∆ABC ≅ ∆DEF by the SAS Postulate?

Mathematics
1 answer:
Anton [14]3 years ago
3 0

Answer: BC = EF (third choice)

The acronym SAS stands for "side angle side". Specifically it refers to using two pairs of sides, and one pair of angles between the sides, to prove the triangles congruent.

We are given that AC = FD as one pair of congruent sides (shown by the similar tickmarks). Also, we are given the angles C and F are congruent as well. We need another pair of sides to be congruent. We can't use AB and DE because those sides are not adjacent to the congruent angles mentioned. So the only thing possible is BC = EF

Check out the attached image below.

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Laurie was completing the treasurer's report for her son's Boy Scout troop at the end of the school year. She didn't remember ho
FrozenT [24]

Answer:

14 boys paid for the full year fee and 4 boys paid for the partial year fee

Step-by-step explanation:

Create a system of equations, where x is the number that paid for the $24 fee and y is the number that paid for the $16 fee:

24x + 16y = 400

x = y + 10

Solve by substitution by plugging in y + 10 as x:

24x + 16y = 400

24(y + 10) + 16y = 400

Solve for y:

24y + 240 + 16y = 400

40y + 240 = 400

40y = 160

y = 4

Then, plug in 4 as y to find x:

x = y + 10

x = 4 + 10

x = 14

So, 14 boys paid for the full year fee and 4 boys paid for the partial year fee.

8 0
3 years ago
I need help plz.......................................
umka21 [38]
Which one do you need help with

4 0
3 years ago
What is the equation in point-slope form of the line that passes through the point (−1, −3) and has a slope of 4?
Nimfa-mama [501]

The equation of line in point-slope form of the line that passes through the point (−1, −3) and has a slope of 4 is:

y+3=4(x+1)

Step-by-step explanation:

Given

m=4

and

Point = (x1,y1) = (-1,-3)

The general form of point-slope equation of line is:

y-y_1=m(x-x_1)\\Putting the values of m, x_1 and y_1\\y-(-3)=4(x-(-1))\\y+3=4(x+1)

Hence,

The equation of line in point-slope form of the line that passes through the point (−1, −3) and has a slope of 4 is:

y+3=4(x+1)

Keywords: Point-slope form, Slope

Learn more about equation of line at:

  • brainly.com/question/4361464
  • brainly.com/question/4390083

#LearnwithBrainly

5 0
3 years ago
Tourists from a tour bus were asked about places they visited during their stay in a city. The results are shown in the table.
nlexa [21]
<span>Given:

                             visited museum           didn't visit museum      Total

visited zoo                      9                                     14                           23

didn't visit zoo               5                                        2                              7

Total                             14                                     16                           30

Simply look at the table and check the number that corresponds to visitors who visited the museum but did not visit the zoo. The number is 5. 
Divide it by the total number of people surveyed. Total is 30.

Probability visited the museum but did not visit the zoo = 5/30 = 0.16666 or 16.67%</span>
7 0
3 years ago
Solve x 5x-12=63 what is the answer to x
Mama L [17]

Answer:x= 5

Step-by-step explanation:

5x-12=63

>5x=63+12=75

>x=75÷5

>x=15

5 0
3 years ago
Read 2 more answers
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