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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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Help Please?
Gemiola [76]

Answer:

1 a = 70%

 b 6.5 times

c  green = 16%

2.  ?????  Very poorly worded question

2. a 54%

b. 46%

c. 70%

d.  27%

Step-by-step explanation:

1. Students in a class were asked to tell their favorite color.

a. What percent said red, blue, or yellow? __% said red, blue, or yellow.  

red is .26

blue is .40

yellow is .04

---------------------

                .70   = 70 %

b. How many times more students said red than yellow?

red  .26

yellow is .04

.26/.04 =  6.5 times


c. What percent of students said green? __% said green.

The circle must total 100 %

Red + blue + yellow + purple + green = 100

26+     40 +     4           + 14     +  green = 100

84 + green = 100

Subtract 84 from each side

84-84 + green = 100-84

green = 16

2. Which two methods could be used to find the percent of students who said green?

We can either convert the percents to decimals or the decimals to percents

The total percents must equal 100%

The total decimal must equal 1

a. Find the sum of the percents given in the circle graph.



If they only want the ones written on the graph as percents

(14+40) = 54%

b. Find the sum of the percent forms of the numbers given in the circle graph. Subtract the result from 100%.

100 - 54% = 46%

c. Find the sum of the decimal forms of the numbers given in the circle graph. Subtract that sum from 1. Change the result to a percent.

.26+.04 = .3

1-.3 = .7

70%

d. Find the sum of half of the percents given in the circle graph. Subtract that total from 50%.

1/2 (46%) = 23%

50 -23 = 27%

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