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Alja [10]
1 year ago
13

Why is the slope of line segment AC the same as the slope of line segment DF in the figure below?

Mathematics
2 answers:
AlekseyPX1 year ago
8 0

Answer:

Answer A because AB/EF=BC/DE?

Step-by-step explanation:

This is due to the properties of similar triangles ABD and FED where ratio of corresponding sides between similar triangles are constant.

Wewaii [24]1 year ago
3 0

Answer:

The answer would be A. because AB/EF=BC/DE

Step-by-step explanation:

AB = 2

EF = 5

BC = 1

DE = 2.5

2/5 = 0.4

1/2.5 = 0.4

The equation AB/EF=BC/DE is correct. All of the others are not.

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A pair of fair dice is cast. what is the probabiliy that the sum of the numbers falling uppermost is 9, given that at least one
WITCHER [35]
If a pair of fair dice is cast, the probability that the <span>sum of the numbers falling uppermost is 9, given that at least one of the numbers falling uppermost is a 3 is given by:

\frac{P(sum\, of\, 9\, \cup\,3)}{P(3)}

The number of outcomes of sum of 9 where at last one is 3 is (3, 6) and (6, 3) = 2.

</span>The number of outcomes of last one of the numbers falling uppermost is a 3 is (3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6), (1, 3), (2, 3), (4, 3), (5, 3) and (6, 3) = 11.

Therefore, <span>the probabiliy that the sum of the numbers falling uppermost is 9, given that at least one of the numbers falling uppermost is a 3 is 2 / 11.</span>
5 0
2 years ago
Which procedure justifies whether -3x(5-4)+3(x-6) is equivalent to -12x-6?
Diano4ka-milaya [45]

Answer:

x=1

Step-by-step explanation:

-3x(5-4)+3(x-6)

-15x+12x+3x-18

-3x+3x-18

-18=-12x-6

-12x=-18+6

-12x=-12

12x=12

x=12/12

x=1

4 0
1 year ago
Read 2 more answers
5 Adoncia makes a scale drawing of the front of
Molodets [167]

Answer:

Since the length of the drawing is 200 ft. and equivalent to 13.33 in. with a scale of 15 ft to 1 in. and the length of the paper is 11 in., Adoncia's drawing will not fit on the sheet of paper

Step-by-step explanation:

The given parameters are;

The scale of the drawing is 15 ft = 1 in.

The actual dimensions of the monument;

Height = 80 ft.

Length = 200 ft.

Therefore, we have;

The required dimension of the paper height = 80/15 = 16/3 = 5.33 in.

The required dimension of the paper length = 200/15 = 40/3 = 13.33 in.

The given paper dimension by 11 in. which is of a dimension of that of a standard  letter paper size of 8.5 in. by 11 in.

Drawing length, 13.33 in. > Paper length > 11 in.

Adoncia's drawing will not fit on the sheet of paper.

4 0
1 year ago
A set of notations (SSS, SAS, ASA and RHS) is used to describe/prove that two triangles are conjurent. For each pair of triangle
lana66690 [7]

Answer:

The answer is given below

Step-by-step explanation:

The statements are not given but from this definition, you should be able to select the correct statement.

Triangles are said to be congruent if they have the same size and shape. A triangle is made up of six (three sides and three angles) but only three is usually needed to prove triangle congruence. These are:

a) Side - Side - Side (SSS): Two triangles are congruent if the length of their three sides are equal to each other.

b) Side- angle- side (SAS): If two sides and one angle of a triangle is equal to two sides and a angle of another triangle then the two triangles are congruent to each other.

c) Angle - side - angle (ASA): If two angles and a side of a triangle are equal to a corresponding two angles and a side of another triangle then the two triangles are congruenr.

d) Right angle - hypotenuse - side (RHS): If for two right angled triangles, their hypotenuse and a side (leg) are equal, then the two triangles are congruent.

4 0
1 year ago
How many nonzero elements are in the matrix below?
yawa3891 [41]

we will find number of non-zero elements on each rows

and then we add them

First row:

we can see that non-zero elements are

2 , 3.1 , 22 , 9

so, number of non-zero elements in first row =4

Second row:

we can see that non-zero elements are

21 , 3.2 , 6

so, number of non-zero elements in first row =3

Third row:

we can see that non-zero elements are

1 , 42 , 8

so, number of non-zero elements in first row =3

Fourth row:

we can see that non-zero elements are

40 ,4 , 6,14

so, number of non-zero elements in first row =4

Fifth row:

we can see that non-zero elements are

10 , 20 , 13 , 5 , 6.3

so, number of non-zero elements in first row =5

now, we can add them

so,

total number of non-zero elements = 4 +3+3+4+5

so,

total number of non-zero elements is 19...........Answer



8 0
2 years ago
Read 2 more answers
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