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Usimov [2.4K]
3 years ago
6

Determine whether each pair of figures is similar. Justify your answer. DEF is not similar to BAC . Corresponding angles are not

the same. DEF-BAC because the corresponding angles of each triangle are congruent. The ratio of the corresponding sides is 1/2 . DEF-ABC because the corresponding angles of each triangle are congruent. The ratio of the corresponding sides is 2. DEF is not similar to BAC . The ratios of the corresponding sides are not the same.

Mathematics
1 answer:
Margarita [4]3 years ago
7 0

Answer:

Option (2)

Step-by-step explanation:

Two triangle are similar when,

1). Two or more than two angles of the given triangles are equal in measure.

2). Ratio of the corresponding sides are same.

In the triangles ΔDEF and ΔBAC,

m(∠A) = m(∠E) = 58°

m(∠B) = m(∠D) = 53°

m(∠C) = m(∠F) = 69°

And ratio of the corresponding sides,

\frac{\text{EF}}{\text{AC}}=\frac{\text{DF}}{\text{BC}}=\frac{\text{DE}}{\text{AB}}

\frac{2.6}{5.2}=\frac{2.8}{5.6}=\frac{3.1}{6.2}

\frac{1}{2}=\frac{1}{2}=\frac{1}{2}

Therefore, ΔDEF ~ ΔBAC

Option (2) will be the answer.

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8 0
3 years ago
you have a big bag of 17 marbles for our blue sticks are green 2 are red and the others are yellow what is the probability of dr
Alex Ar [27]

Answer:

  • 3/68

Step-by-step explanation:

<u>Given</u>

  • Total 17 marbles
  • 4 - blue marbles
  • 6 - green marbles
  • 2 - red marbles
  • The rest - yellow marbles

<u>Probability of drawing red first:</u>

  • P(red) = number of red / total number = 2/17

<u>Probability of drawing green second, without replacement:</u>

  • P(green) = number of green / number left in the bag = 6/16 = 3/8

<u>Probability of red and green in order:</u>

  • P = P(red)*P(green) = 2/17*3/8 = 3/68

5 0
3 years ago
Find the number of integral solutions of x+y +z = 12, where −3 ≤ x ≤ 4, 2 ≤ y ≤ 11, and<br> z ≥ 3.
SashulF [63]

There are 59 integer solutions

Such questions are best solved by writing cases and calculating the total number of cases. So beginning with

1)  x = -3. The possible combinations are as follows:-

-3 2 13

-3 3 12

-3 4 11

-3 5 10

-3 6 9

-3 7 8

-3 8 7

-3 9 6

-3 10 5

-3 11 4

10 combinations

2) x = -2

-2 2 12

through

-2 11 3

10 combinations

3) x = -1

-1 2 11

through

-1 10 3

9 combinations

4) x = 0

0 2 10

through

0 9 3

8 combinations

as we can see from the pattern at x =1  we get 7 combinations, at x =2  we get 6 combinations, at x=3 we get 5 combinations and at x =4  we get 5 combinations.

Thus total number of combinations 4+5+6+7+8+9+10+10 = 59 integer solution.

Learn more about combinations here :

brainly.com/question/13387529

#SPJ1

5 0
1 year ago
There is a bag filled with 5 blue, 6 red and 2 green marbles.
Kipish [7]

Answer:

the probability of getting 2 greens is 2/13

Step-by-step explanation:

6 0
2 years ago
What is the slope of the line that passes throught the points (1,1) and (-1,-5)
Amiraneli [1.4K]

m = \dfrac{ \textrm{rise}}{\textrm{run}} = \dfrac{1 - -5 }{1 - -1} = \dfrac{6}{2} = 3


Slope is 3



6 0
3 years ago
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