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The height of the trapezoid is 8.3 feet.

A trapezoid is a convex quadrilateral. A trapezoid has at least on pair of parallel sides,4 vertices and edges.

Area of a trapezoid = 0.5   x (sum of the lengths of the parallel sides) x height

70.55 = 0.5 x (11.4 + 5.6) x h

70.55 = 0.5 x (17) x h

70.55 = 8.5h

h = 70.55 / 8.5

h = 8.3 feet

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hi there is the gems I am getting on to be a good choice and evolve as a means to get a better of your life

Answer:

angle one:100 degrees

angle two:70 degrees

Step-by-step explanation: so angle two and the angle with 70 degrees are alternate angles, so they would be the same. at this point if you subtracted 70 from 180 because angle b is 180 degrees, you would get 110, so then you would have three angles, and it wouldn't be too hard to find the fourth, which is 100 degrees.

Answer:

see below

Step-by-step explanation:

here we are using the distributive property and noting that i^2=-1 so the answer is -36i-(63i^2) or -36i+63

Answer:

Step-by-step explanation:

According to picture, PQ and MN are corresponding sides of congruent triangles.

Answer:

                    "Please excuse my dear Aunt Sally or PEMDAS"

____________________________________________________________

Please stands for Parentheses, so we solve everything inside of the parentheses first.

Then, Excuse which is for “Exponents.” We answer that after we answer everything in parentheses.

Multiplication, which is the My, and this happens from left to right.

And then division, which is the “Dear,” which also happens left to right.

And then we have addition and subtraction, which also happens from left to right, and this is “Aunt” and “Sally.”

Answer:

-1/5

Step-by-step explanation:

if you look at the table, you can see that for every 5 units of x, y goes down 1 unit. slope= rise/run so the slope is -1/5

Answer:

slope=-1/5

Step-by-step explanation:

Use slope formula to get 4-5/0-(-5) which is -1/5, so out slope is -1/5

Answer:

The answer to Y/X is 4/1

Answer:

3.45 per pound of peacans

Step-by-step explanation:

we know that 3 pounds of peacans is 10.35 dollars so all that we have to do to find the unit rate is divide 10.35 by 3 and we get 3.45$

Answer:

v = -1/2

Step-by-step explanation:

-4(v+1) = 2v - 2 + 2(3v + 2)

-4v - 4 = 2v - 2 + 6v + 4

-4v - 4 = 8v + 2

-4 = 12v + 2

-6 = 12v

-6/12 = v

v = -1/2

Answer:

$0.50 or 50 cents

Step-by-step explanation:

If he bought 2 and a half sacks of fertilizer for $2.20 that means u multiply 2.20 2 and a half times so first lets divide 2.20 by 2 to find the solution of the "0.5" which is 1.10

2.20 times 2 equals 4.40 then we add the 1.10 so 4.40 plus 1.10 is $5.50.

For the 4.5 sacks of 1.80 we will do the same technique half o 1.80 is 90 cents so 0.90 and 4.5 times 1.80 is $8.10 we then add the 90 cents making it $9.

We then add the 2 totals of $9 and $5.50 which equals $14.50, the change would be 50 cents which in decimal form would be $0.50

Answer:

see explanation

Step-by-step explanation:

(7)

∠ RPS + ∠ QPR = ∠ QPS , substitute values

8x + 7 + 9x + 16 = 40 , that is

17x + 23 = 40 ( subtract 23 from both sides )

17x = 17 ( divide both sides by 17 )

x = 1

Answer:

$3540

Step-by-step explanation:

See explanation

Step-by-step explanation:

The Simple Interest will be calculated as:

= P × R × T

= $3000 × 1.8% × 10.

= $3000 × 0.018 × 10

= $540

The interest that the customer earn in 10 years is $540.

Then, the account balance after 10 years will be:

= Principal + Interest

= $3000 + $540

= $3540

Therefore, the account balance will be $3540

Answer:

19 2/3

Step-by-step explanation:

32 ft minus 12 and 1/3 ft is 19 and 2/3 ft.

Answer:

The bottom right

*you won't see it yourself that the answer is correct because you are working on and iReady test friend*

Step-by-step explanation:

If you map out the shape in your head and slowly fold up the flaps, then you get a rectanglular prism.

5(a-b) if a=-4 and b=-2

5(-4--2)

5(-4+2)

5(-2)

-10

Answer: -10

Answer:

The expression equals -10.

Step-by-step explanation:

First, solve the expression in the parentheses. -4 - -2 can be turned into -4 + 2, which is -2. Then, multiply by the coefficient right next to the parentheses. -2 times 5 is -10.

Answer:

x = 3

Step-by-step explanation:

The triangles are similar.

x + 9 is twice 2x.

x + 9 = 2(2x)

x + 9 = 4x

9 = 3x

x = 3

Step-by-step explanation:

The sequence above is an arithmetic sequence

For an nth term in an arithmetic sequence

A(n) = a + ( n - 1)d

where a is the first term

n is the number of terms

d is the common difference

From the question

a = - 1

To find the common difference subtract the previous term from the next term

We have

d = 4 --1 = 4 + 1 = 5 or 9 - 4 = 5

Therefore d = 5

Substitute the values into the general formula

That's

[tex]A(n) = - 1 + (n - 1)(5) \\ = - 1 + 5n - 5 \\ = 5n - 6 \: \: \: \: \: \: \: \: \: \: \: [/tex]

To find A(50) substitute the value of n that's 50 into the formula above

[tex]A(50) = 5(50) - 6 \\ \: \: \: \: \: \: \: \: \: = 250 - 6 \\ \: = 244[/tex]

Hope this helps you

Step-by-step explanation:

The sequence above is an arithmetic sequence

For an nth term in an arithmetic sequence

where a is the first term

n is the number of terms

d is the common difference

From the question

To find the common difference subtract the previous term from the next term

Therefore d = 5

Substitute the values into the general formula

That's

[tex]A(n)=−1+(n−1)(5) \\ \: \: \: \: \: \: \: \: =−1+5n−5 \\ =5n−6[/tex]

To find A(50) substitute the value of n that's 50 into the formula above

[tex]A(50)=5(50)−6 \\ \: \: \: \: \: \: \: \: =250−6 \\ \: \: =244[/tex]

Answer:

A. 9

Step-by-step explanation:

Answer: First bag unit price: 1.78

second bag unit price : 1.83

Step-by-step explanation:

divide the price by the weight. First bag is better

Answer:I got 220

Step-by-step explanation:

5200/260=20

20*11=220

Answer:

x=-2

Step-by-step explanation:

Simplify parentheses : 0.5x+0.3=2.1x+9-5.5

Combine like terms : 0.5x+0.3=2.1x+3.5

Isolate the variable : -1.6x=3.2

Divide by -1.6 on both sides : x=-2

Answer:

x=-2

Step-by-step explanation:

1/4(2x + 1.2) = 3(0.7x + 3) - 5 1/2

multiply both sides of the equation by 4 to get rid of the fraction 1/4

2x+1.2=12(0.7x+3)-4*5 1/2

distribute 12 into parenthesis

2x+1.2= 8.4x+36-4*5 1/2

multiply -4 with 5 1/2

2x+1.2=8.4x+36-22

subtract numbers

2x+1.2= 8.4x+14

move X's to one side and numbers to another

2x-8.4x=14-1.2

collect like terms

-6.4x=12.8

divide by -6.4 to get x

x= -2

Applying the properties of similar triangles, the other side lengths of ΔDEF are: B. 9 and 12

Properties of Similar Triangles:

Given that ΔABC and ΔDEF are similar triangles, therefore:

Thus:

a/x = b/y = c/z

6/x = 8/y = 12/18

Find x using 6/x = 12/18:

6/x = 12/18

x = [tex]\frac{18 \times 6}{12}[/tex]

x = 9

Find x using 8/y = 12/18:

8/y = 12/18

x = [tex]\frac{18 \times 8}{12}[/tex]

x = 12

Therefore, applying the properties of similar triangles, the other side lengths of ΔDEF are: B. 9 and 12

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Answer:

60cm

Step-by-step explanation:

200*3/10=20*3=60

Step-by-step explanation:

triangle BCD ~ triangle EFD so

angle BCD= angle EFD

9x+2=15x-52

6x=54

x=9

angle CBF =9x+2=83°

In the triangle ΔCBD, the angle measure of ∠CBF is 83°.

When the triangles have equal shape, but different sizes. It is called as similar triangles. The corresponding angles are congruent. And the sizes have the same proportionality rate.

Given:

The angle measures,

∠CBD = (9x + 2)°

∠EFD = (15x -52)°

From the diagram,

ΔCBD is similar to ΔEFD.

So, the corresponding angles are equal.

∠CBD = ∠EFD

(9x + 2)° = (15x -52)°

15x - 9x = 52 + 2

6x = 54

x = 9°

And ∠CBF = ∠CBD

So, ∠CBF = (9x + 2)°

Substituting the value of x,

∠CBF = (9(9) + 2)°

∠CBF = 83°

Therefore, the angle measure of ∠CBF is 83°.

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