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3 years ago

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Triangles A B C and L M N are shown. Angle B A C is 58 degrees. Angle M L N is 78 degrees. Sides A B and L M are congruent. Side

s A C and L N are congruent.
Given AC = LN and BA = ML, which statement must be true?
BC < MN
BC > MN
BC = MN
BA = LN

1 answer:

arlik [135]3 years ago

7 0

Answer:

the correct answer is A on edge

Step-by-step explanation:

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A gardener wants to try different combinations of fertilizer (none, 1 cup, 2 cups) and mulch (none, wood chips, pine needles, pl

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Answer:

5

Step-by-step explanation:

First lets identify the number of treatments possible.

1st possibility: no fertilizer, no mulch

2nd possibility: no fertilizer, wood chips

3rd possibility: no fertilizer, pine needles

4th possibility: no fertilizer, plastic

5th possibility: 1 cup fertilizer, no mulch

6th possibility: 1 cup fertilizer, wood chips

7th possibility: 1 cup fertilizer, pine chips

8th possibility: 1 cup fertilizer, plastic

9th possibility: 2 cup fertilizer, no mulch

10th possibility: 2 cup fertilizer, wood chips

11th possibility: 2 cup fertilizer, pine chips

12th possibility: 2 cup fertilizer, plastic

Or we can simply calculate no. of possibilities by elements in set a x elements in set b

Total no. of possibilities = 3 x 4 = 12

To find no. of plants for each treatment divide total number of plants by the total treatments possible.

No. of plants for each treatment = total number of plants/ total number of treatments possible

No. Of plants for each treatment = 60/12

No. of plants for each treatment = 5

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3 years ago

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Answer: 180 degrees

Step-by-step explanation:

A rotation of 180 degrees about the origin maps $(x,y) \longrightarrow (-x, -y)$ .

5 0

2 years ago

Write an expression for the perimeter of the triangle shown below

MrMuchimi

the answer is 5.5x + 9

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3 years ago

lisa is painting a fence that is 26 feet long and 7 feet tall. A gallon of paint will cover 350 square feet. Write and slove a p

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4 years ago

We are going to fence in a rectangular field that encloses 75 ft2. Determine the dimensions of the field that will require the l

pychu [463]

Answer:

For width W and length L, we have:

W = L = √(75ft^2) = 8.66ft

Step-by-step explanation:

For a rectangle of length L and width W, the area is:

A = L*W

and the perimeter is:

P = 2*L + 2*W

First, we know that the area of our rectangle is:

A = 75ft^2 = L*W

And we want to minimize the perimeter of our rectangle, then we need to minimize:

P = 2*L + 2*W

From the equation:

75ft^2 = L*W

We can isolate one of the variables, let's isolate L

L = (75ft^2)/W

We could replace this in the perimeter equation:

P(W) = 2*( (75ft^2)/W) + 2*W

P(W) = (150 ft^2)/W + 2*W

To find the minimum of the perimeter we need to look at the zero of the first derivative of P(W).

P'(W) = dP(W)/dW = -(150ft^2)/W^2 + 2

Now we need to find the value of W such that:

P'(W) = 0

0 = -(150ft^2)/W^2 + 2

(150 ft^2)/W^2 = 2

(150ft^2) = 2*W^2

(150ft^2)/2 = W^2

75 ft^2 = W^2

√(75ft^2) = W = 8.66ft

And remember that:

L = (75ft^2)/W

replacing with W = √(75ft^2)

L = (75ft^2)/√(75ft^2) = √(75ft^2)

Then:

W = L = √(75ft^2) = 8.66ft

6 0

3 years ago