DA = 0.0
Trapezoid ABCD is congruent to trapezoid EFGH, and the side lengths of ABCD are given. Find GH.
A. 9.0
B. 14.0
C. 20.0
D. cannot be determined

Answer:

see below (I hope this helps!)

Step-by-step explanation:

a) There are 20 girls and 16 boys so three different ways to write the ratio could be 20:16, 20 / 16 or, in verbal form, 20 to 16.

b) An equivalent ratio to 20:16 is 10:8, all we do to get this is divide the ratio by 2.

c) Since there are 16 boys and 20 girls, the ratio is 16:20 which simplifies to 4:5.

Answer:

6 yards

Step-by-step explanation:

a³ = 216

a = ∛ 216

    = 6 yards

Answer:

6 yards

Step-by-step explanation:

The volume of a cube can be found using the following formula.

[tex]v= s^3[/tex]

We know the volume is 216 cubic yards, so we can substitute 216 yd³ in for v.

[tex]216 yd^3=s^3[/tex]

We want to find the side length. Therefore, we must isolate the variable, s, on one side of the equation.

s is being cubed. The inverse of cubed is the cube root. Take the cube root of both sides of the equation.

[tex]\sqrt[3]{216 yd^3}=\sqrt[3]{s^3}[/tex]

[tex]\sqrt[3]{216yd^3}=s[/tex]

[tex]6yd=6[/tex]

The side length of the cube is 6 yards.

Answer:

8

Step-by-step explanation:

It went from 7 to 15?

Answer:

addition property of equality

inverse property of multiplication

Step-by-step explanation:

7y − 15 = −29

Add 15 to each side using the addition property of equality

7y -15+15 = -29+15

7y = -14

Divide each side by 7 using the inverse property of multiplication

7y/7 = -14/7

y =2

Answer:

[tex]\Large \boxed{\mathrm{Addition \ Property \ of \ Equality}} \\\\\\ \Large \boxed{\mathrm{Inverse \ Property \ of \ Multiplication}}[/tex]

Step-by-step explanation:

[tex]\sf 7y-15=-29[/tex]

Using the additive property of equality, we add 15 to both sides of the equation.

[tex]\sf 7y-15+15=-29+15[/tex]

[tex]\sf 7y=-14[/tex]

Using the inverse property of multiplication, we divide both sides of the equation by 7.

[tex]\displaystyle \sf \frac{7y}{7} =\frac{-14}{7}[/tex]

[tex]\sf y = -2[/tex]

Answer:

m+p/2=n

Step-by-step explanation:

You can't get any other multiplication factor, so the only way is to isolate n, by adding p to m and dividing by 2

Answer:

Step-by-step explanation:

In a tent, there are nine boys.

There were five tents.

5 tents containing 9 boys can equal 45 boys.

(5 x 9 = 45)

In a cabin, there are seven boys.

There were four cabins.

4 cabins containing 7 boys can equal 28 boys.

(4 x 7 = 28)

Now, to find all the boys, add the numbers together.

28 boys with 45 boys will equal 73 boys.

Please check my answer for no one, not even me is right.

Good luck :)

Answer:

the value of <BAC= 30° ...

Answer:

10 seconds

Step-by-step explanation:

Distance = 200 m

Velocity = 20m/s

Time =?

[tex]time = \frac{distance}{velocity} \\ time = \frac{200m}{20m/s} \\ time = 10 \: seconds[/tex]

Answer:

1.691

Step-by-step explanation:

.971 + .72

Answer:

1.691

Step-by-step explanation:

What number is 0.72 more than 0.971?

To solve your question, you're gonna have to add the two numbers together.

[tex]0.72+0.971[/tex]

  0.971

+0.72

_______

          1

  0.971

+0.72

_______

        91

  0.971

+0.72

_______

     691  

  1

  0.971

+0.72

_______

   1.691

So your answer is

[tex]1.691[/tex]

Hope this helped!

Answer:

106

Step-by-step explanation:

Sksjwisjsjsoansnsan just to get points so give it a thanks thing ty

Answer:

x=11.5hours

Step-by-step explanation:

661.25miles÷57.5mph=11.5hours

Answer:

5/8

Step-by-step explanation:

Find the rational number half way between 1/2 and 3/4

First add 1/2 and 3/4

1/2 + 3/4 = 2/4 + 3/4 = 5/4

Next, divide this sum by 2

5/4 divided by 2/1 = 5/4 * 1/2 = 5/8

5/8 is half from 1/2 and 3/4

1/2 < 5/8 > 3/4

Answer:

1/3

Because 1/3 if divide into two, it'll be 0.5/3 but if the question says that the answer have to be in whole number, that means it must be 1/6.

Answer:12

Step-by-step explanation:

because it will take 2 to make a cup

Answer:

50th term = 157

Step-by-step explanation:

Explicit equation for the given table is,

y = 3x + 7

And recursive formula is,

Now = previous + 3

To find the 50th term explicit formula should be used because it will be very difficult to find all 50 terms with the use of recursive formula.

From explicit formula,

y = 3x + 7

y = 3(50) + 7

  = 157

Therefore, 50th term of the given table will be 157.

Answer:

80 and 83.6660026534

Step-by-step explanation:

The square root of 6400 is 80 and the square root of 7000 is 83.6660026534 so it would be between these two.

Answer:

A = -11

C = 13

F = -15

J = 17

Step-by-step explanation:

Inductive reasoning is the use of observations to draw a conclusion.

The sequence of numbers in this problem is:

-3, 5, -7, 9, ...

A pattern is observed and that pattern is:

(n + 1) th term = |nth term| + 2 (with alternating negative signs)

for instance if (n+1)th term = 2nd term; nth term = 1st term

2nd term = |1st term| + 2

2nd term = |-3| + 2 = 5 (no negative sign since previous term had negative)

-3rd term = |5| + 2 = -7 (negative sign because the previous term was positive)

4th term = |-7| + 2 = 9 (no negative sign since previous term had negative)

-5th term (A)= |9| + 2 = - 11 (negative sign because the previous term was positive)

6th term (C) = |-11| + 2 = 13 (no negative sign since previous term had negative)

if you use the same sequence for F and J, you will get:

F = -15

J = 17

you should try them out to see if you will get the same solution.

Answer: 130°

Step-by-step explanation:

supplementary angle: ∠A+∠B=180°

x+(2x+30)=180

x+2x+30=180

   3x+30=180

          3x=150

            x=50

2(50)+30=100+30=130°

Hope this helps!! :)

Please let me know if you have any question

Step-by-step explanation:

-3a + 20 = 3a + 20

-6a + 20 = 20

-6a = 0

a = 0

Answer: a=0

Step-by-step explanation:

Given

3a-6a+20=8a+24-5a-4

Combine like terms on both sides

-3a+20=3a+20

Subtract 3a on both sides (subtractive property of equality)

-6a+20=20

subtract 20 on both sides (subtractive property of equality)

-6a=0

Divide -6 on both sides (division property of equality)

a=0

Hope this helps!! :)

Please let me know if you have any question or need further explanation

Answer:

Percent error = 2%

Step-by-step explanation:

Given:

Expected value = 250

Actual value = 255

Find:

Percent error

Computation:

Percent error = [(Actual value - Expected value)/Expected value]100

Percent error = [(255 -250) / 250]100

Percent error = 2%

Answer:

Its 6% because |E−T||T|×100

=(250−235)|235|×100

=15235×100

=0.0638298×100

=6.38298%

=6.38298%error

Step-by-step explanation:

Answer:

first term a1 is -40.

Step-by-step explanation:

in an arithmetic series,

sum of first term terms (S10) = -20

Common difference (d) = 4

first term (a)= ?

number of terms (n)= 10

now,

S10 =( n÷2) [a1 +(n-1) d]

or, -20 = (10÷2) [a1 + (10-1) 4]

or, -20 = 5 ( a1 + 36)

or, -4 = a1 + 36

or, a1 = -40

[tex]\blue\star[/tex]s10 = -20

[tex]\blue\star[/tex]n = 10

[tex]\blue\star[/tex] an = -20

[tex] \green\star[/tex] solution

[tex] \green\star[/tex]s10 = n\2 [a+(n-1)d]

[tex] \green\star[/tex]-20 = 10a2[a+(10-1)4]

[tex] \green\star[/tex]-4 = a +36

[tex] \green\star[/tex]a1 = -40

[tex]\small\boxed{a = -40}[/tex]

Hope it helps.

Hope it helps

Answer:

The three greatest are -3, -4, -5

Step-by-step explanation:

7x < 2x - 13

Subtract 2x from each side

7x-2x < 2x-2x - 13

5x < -13

Divide by 5

5x/5 < - 13/5

x < - 2 3/5

Since x is an integer

-3 is the largest integer that fits the inequality

The three greatest are -3, -4, -5

Answer:

y = 2x² + 3x - 9

Step-by-step explanation:

Given αβ = - [tex]\frac{9}{2}[/tex] = [tex]\frac{c}{a}[/tex]

and α + β = - [tex]\frac{3}{2}[/tex] = - [tex]\frac{b}{a}[/tex]

Then a = 2, b = 3 and c = - 9, thus

y = 2x² + 3x - 9

Answer:

  use your compass to copy the length to a new line

Step-by-step explanation:

To make a line segment that has the same length as another, set your compass width to the length of the one you want to copy, and use that to mark the length on the line where you want your copy.

Use a straightedge to draw a line longer than JK.

AD is congruent to JK.

Answer:

d =32

Step-by-step explanation:

[tex]\sqrt{7d+1}-4=11\\\\\mathrm{Add\:}4\mathrm{\:to\:both\:sides}\\\sqrt{7d+1}-4+4=11+4\\\\Simplify\\\sqrt{7d+1}=15\\\\\mathrm{Square\:both\:sides}:\quad 7d+1=225\\7d+1=225\\\\\mathrm{Solve\:}\:7d+1=225:\\\quad d=32[/tex]

Answer:

d = 32

Step-by-step explanation:

[tex]\sqrt{7d-1} -4+4=11+4[/tex]

[tex]\sqrt{7d-1} =15[/tex]

[tex]7d+1=15 *15[/tex]

[tex]7d+1=225[/tex]

[tex]7d=225-1[/tex]

[tex]7d=224[/tex]

[tex]d=\frac{224}{7}[/tex]

[tex]d=32[/tex]

Answer:

9 cups

Step-by-step explanation:

1 quart= 4 cups

4 quart= ? cups  (crisscross)

4 quart=16 cups

16-7= 9 cups

Answer:

f(3) =6

Step-by-step explanation:

[tex]f(x) =x^2 -x\\\\f(3) = ?\\\\f(3) = (3)^2 -3\\f(3) = 9-3\\f(3) =6[/tex]

Answer:

[tex]\huge \boxed{\sf{f(3)=6}}[/tex]

Step-by-step explanation:

[tex]\sf f(x)=x^2-x[/tex]

For f(3), the input or x value is 3.

[tex]\sf f(3)=3^2-3[/tex]

Evaluate the expression.

[tex]\sf f(3)=9-3[/tex]

[tex]\sf f(3)=6[/tex]

Answer:

Hey there!

3y=-4x+6

y=-4/3x+2

Thus, the slope is -4/3.

Hope this helps :)

Answer:

the slope is -4/3

Step-by-step explanation:

3y = -4x + 6

y=-4/3 x +6/3

y=-4/3 x+2

the slope is -4/3

Answer:

The answer is below

Step-by-step explanation:

An equation is a mathematical statement that shows the equality between two expressions.

From the table, the average weight of the hamster at birth is 2 grams. The average weight of gerbil at birth is 2/3 of that of hamster. Let g represents the weight of the gerbil at birth, hence the weight can be gotten by solving the equation:

2/3 of hamster weight at birth = Average weight of gerbil at birth

2/3 × 2 grams = g

g = 2/3 × 2 grams = 4/3 grams = 1.33 grams

The average weight of gerbil at birth = 1.33 grams

Answer:

1.999396

Step-by-step explanation:

square of 1.414=1.999396

square root of 1.999396=1.414