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2 years ago

Are AC and DF definitely parallel? How do you know?

Mathematics

1 answer:

SOVA2 [1]2 years ago

3 0

Answer:

We know that,

Angle E = 123

Angle B = 57

We observe that,

Angle DEB and Angle E form a linear pair and are supplementary.

Angle DEB + Angle E = 180

Angle DEB = 180-123

=57

We know that if two lines are parallel, the corresponding angles are equal.

Conversely, if the corresponding angles are equal, then the two lines are parallel.

Here,

As Angle B and Angle DEB are corresponding angles are equal in measure (Angle B = Angle DEB = 57), we can say that Line AC and Line DF are parallel.

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A. 37 B. 38 C. 39 D. 40

Dvinal [7]

Hello ^w^

I believe the answer you are looking for is A

I found this answer by adding up the lengths of all the sides.

S -> T = 8

S -> R = 7

Q -> R = 6

P -> Q = 6

P -> T = 10

10 + 6 + 6 + 7 + 8 -> 37

A -> 37

If I am incorrect, please inform me.

Have a good day!

4 0

2 years ago

A fence is to be built to enclose a rectangular area of 1800 square feet. The fence along three sides is to be made of material

drek231 [11]

Answer:

length = 60 foot, width = 30 foot

Step-by-step explanation:

Area of rectangular part, A = 1800 ft²

Cost of fencing three sides is $ 6 per foot and cost of one side fencing is $18 per foot.

Let the length of the rectangle is l and the width of the rectangle is W.

Area = Length x width

A = L x W

1800 = L x W ...... (1)

Total cost of fencing, C = 6 x ( L + W + L) + 18 x W

C = 6 (2L + W) + 18 W

C = 12 L + 24 W

Substitute the value of W from equation (1), $W=\frac{1800}{L}$ in equation (2)

$C=12L+24\times \frac{1800}{L}$

$C=12L+\frac{43200}{L}$

Differentiate both sides with respect to L:

$\frac{dC}{dL}=12-\frac{43200}{L^{2}}$

Put it equal to zero for maxima and minima

$12-\frac{43200}{L^{2}}=0$

L = 60 foot

and W = 30 foot

So, the costing is minimum for length = 60 foot and the width = 30 foot.

4 0

2 years ago

Jill traveled to Canada and bought a new lamp for $460 Canadian dollars. In US dollars (to the nearest cent) this is equivalent

blsea [12.9K]

The Canadian dollar is .72 of a American dollar so the answer has to be B.

8 0

2 years ago

I really need help on this one. Help please

ddd [48]

COULD YOU BE Y GIRLFRIEND IF I ANSWER?

6 0

2 years ago

F(x) = 1/x^2 and g(x) = 1/2x+4 f[g(x)] = 4x 2 _____

Korolek [52]

Answer:

f[g(x)] = 4x²+1/16

Step-by-step explanation:

We need to put g(x) into f(x).

f[g(x)] = 1/(1/2x+4)²

f[g(x)] = 1/(1/4x²+16) Solve the exponential.

f[g(x)] = 1/(1/4x²+16) Simply the fraction.

f[g(x)] = 4x²+1/16

5 0

2 years ago