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True [87]
2 years ago
10

Good morning!

Mathematics
1 answer:
Tpy6a [65]2 years ago
4 0

Answer:

  • Step1. Slope is zero
  • Step2. Angles 5, 8, 9 and 12

Step-by-step explanation:

<u>Step 1</u>

Parallel lines have the same slope.

Gray Dr is parallel to Brodie Ln

They both are parallel to x-axis, therefore both have a zero slope.

<u>Step 2</u>

m∠6 = x°

Angles 5 and 8 are supplementary with angle 6, so they have a measure of (180 - x)°.

Also, since Gray Dr is parallel to Brodie Ln and Canon Rd is transversal, the angles 9 and 12 have the same measure. Because ∠6 and ∠10 are corresponding angles.

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The riding stables just received an unexpected rush of registrations for the next horse show, and quickly needs to create some a
liraira [26]

Answer:

Maximum added area will be 60,000 ft²

Each paddock measure 200 ft by 150 ft, and the paddocks share a 200-ft long side.

Step-by-step explanation:

Consider the provided information.

There is sufficient funding to rent 1200 feet of temporary chain-link fencing.

The plan is to form two paddocks with one shared fence running down the middle.

The total length of fencing is 1200 feet that is same as the total perimeter including that shared line down the middle.

Therefore, the perimeter is

P = 1200 = 2L + 3w

Solve for L

1200-3w = 2L

L=600-\frac{3w}{2}

As we know the area of rectangle is A=L×W

Substitute the value of L in above formula.

A=(600-\frac{3w}{2})\times w\\A=600w-\frac{3w^2}{2}

A=-\frac{3w^2}{2}+600w

The above equation makes a downward parabola.

In order to find the maximum, find the vertex of parabola as shown:

W=\frac{-b}{2a}=\frac{600}{2\times\frac{3}{2}}=200

Hence, the width should be 200 ft in order to get maximum area,

Therefore, the length will be:

1200 = 2L + 3(200)

L=300

Now substitute the value of L and W in area formula.

A=300×200=60,000

Hence, maximum added area will be 60,000 ft²

Hence, the length should be 300 ft, and each paddock should then be 150 feet long.

Each paddock measure 200 ft by 150 ft, and the paddocks share a 200-ft long side.

5 0
3 years ago
For what value of a does 9 equal 1/27 a + 3​
Yakvenalex [24]

Answer:

a = 162

Step-by-step explanation:

9 = 1/27 a +3

Subtract 3 from each side

9-3 = 1/27 a +3-3

6 = 1/27 a

Multiply each side by 27

6*27 = 1/27 a *27

162 = a

6 0
3 years ago
Read 2 more answers
Solve the inequality.<br> 6+x&gt;56+x&gt;5
weqwewe [10]

Answer:

X>50

X>-51

Step-by-step explanation:

6+x>56

56+x>5

separate the equation into different equations by the sign

I) 6+x>56

x>56-6

x>50

ii) 56+x>5

x>5-56

x>-51

4 0
2 years ago
Which inequality is true if p = 3.4 ?
Anastaziya [24]

Answer:

the shape isnt angled thats what it means

Step-by-step explanation:

3 0
3 years ago
Christy bought an 8-foot piece of lumber to trim a bookshelf. Altogether, she needs 100 inches of lumber for the trim. Did Chris
jenyasd209 [6]
Yes, she bought 96 inches of woods. Christy will have 4 inches of wood remaining.
8 0
3 years ago
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