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Alja [10]
2 years 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:
AlekseyPX2 years 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]2 years 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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According to Consumer Digest (July/August 1996), the probable location of personal computers (PC) in the home is as follows: Adu
Andreas93 [3]

Answer:

a) 0.32

b) 0.68

c) Office or den

Step-by-step explanation:

a) The probability that a PC is in a bedroom is the sum of the probabilities of a PC being is an adult bedroom, child bedroom or other bedroom:

P(B) =P(adult)+P(child)+P(other)\\P(B) = 0.03+0.15+0.14\\P(B) =0.32

b) The probability that a PC is not in a bedroom is 100% minus the probability of it being in a bedroom:

P(Not\ B) = 1- P(B)\\P(Not\ B) =1-0.32\\P(Not\ B) =0.68

c) The expected room to find a PC from a randomly selected household is the room with highest likelihood of having a PC according to Consumer Digest. The Office or den, is the most probable room with a 0.40 chance.

You would expect to find a PC in the Office or den.

6 0
2 years ago
Harry had $32. He spent all the money on buying 3 notebooks for $x each and 4 packs of index cards for $y each. If Harry had bou
LenKa [72]
3x + 4y = 32....multiply by 5
5x + 5y = 50...multiply by -3
---------------
15x + 20y = 160 (result of multiplying by 5)
-15x - 15y = -150 (result of multiplying by -3)
--------------add
5y = 10
y = 10/5
y = 2

3x + 4y = 32
3x + 4(2) = 32
3x + 8 = 32
3x = 32 - 8
3x = 24
x = 24/3
x = 8

solution (8,2)

The students conclusion is incorrect......it is answer choice 1



4 0
2 years ago
Roses produced asexually from cuttings are genetically identical to the parent. Roses grown from sexually produced seeds may loo
Ksju [112]

The correct answer would be B. Sexual reproduction does infact create more variation in plants.

7 0
2 years ago
Read 2 more answers
Question 45 A length of pipe that weighs 45 pounds is cut into two pieces. One of the pieces is 3 feet long and weighs 18 pounds
dmitriy555 [2]

Answer: 4.5 pounds.

Step-by-step explanation:

Given : Weight of original pipe =45 pounds

Weight of first piece = 18 pounds

Then, Weight of  other piece = 45- 18 =  27 pounds

Length of first piece = 3 feet

Let x be the length of other piece.

As length is directly proportional to weight.

Then, \dfrac{x}{27}=\dfrac{3}{18}

\Rightarrow\ \dfrac{x}{27}=\dfrac{1}{6}\\\\\Rightarrow\ x=\dfrac{1}{6}\times27 =4.5

Hence, the he length of the other piece = 4.5 pounds.

7 0
2 years ago
Find the volume of a right circular cone that has a height of 12.7 m and a base with a circumference of 18.9 m. Round your answe
DochEvi [55]

Step-by-step explanation:

We have,

Height of cone, h = 12.7 m

Circumference of base, C = 18.9 m

The base of a circular cone is circular. The circumference of circle is given by :

C=2\pi r

r is radius

r=\dfrac{C}{2\pi}\\\\r=\dfrac{18.9 }{2\pi}\\\\r=3\ m

The volume of a right circular cone is given by the formula as :

V=\dfrac{1}{3}\pi r^2h

V=\dfrac{1}{3}\times 3.14 \times 3^2\times 12.7\\\\V=119.634\ m^3

7 0
2 years ago
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