find the volume of the composite figure?

Answer:

Yes it equals 1,800

Step-by-step explanation:

Hope that helps

Answer:

Yes, it does. Good job!

Step-by-step explanation:

x=17

See attached picture

Answer:

70

Step-by-step explanation:

verticle angles are congruent (the same) so if 1 is 110 than 4 is 110. also same side interior angles are supplementary (equal to 180) meaning 6 is 70. If verticle angles are congreunt then 7 also equals 70

Hello.

The greater the negative number, the smaller (in value) it is.

-5/6 = -0.83

-0.83 (-5/6) < -0.94

In this figure ∠7 and ∠3 are alternate interior angles . Alternate interior angles in two parallel lines with a transversal will always be equal . Since ∠7 is congruent to ∠3 , we can say that line m and line n are parallel lines .

Therefore :-

The lines are parallel because the alternate interior angles in them are congruent .

Given :-

m∠3 = ( 15x + 22 )°

Then , m∠3 will be equal to :-

x = 8

= 15 × 8 + 22

= 120 + 22

m∠3 = 142°

m∠1 = ( 19x - 10 )°

= 19 × 8 - 10

= 152 - 10

m∠1 = 142°

angle 1 and angle 3 are corresponding angles , which means their value will be equal if they are present on two parallel lines with a transversal . As their values are equal we can say that line m and line n are parallel .

Therefore :-

Yes , the lines are parallel because the corresponding angles in them are equal .

∠7 and ∠6 are interior angles on the same side of transversal , which means their angle su, will be equal to 180° . But since their values are equal these two lines are not parallel .

Therefore :-

∠7 and ∠6 are interior angles on the same side of transversal , so their sum will be equal to 180° . But since that is not the case in the lines shown above , those lines are not parallel lines .

Given :-

m∠2 = ( 5x + 3 )°

x = 14

= 5 × 14 + 3

= 60 + 3

= 63°

m∠3 = ( 8x - 5 )°

= 8 × 14 - 5

= 112 - 5

= 107°

We know that the sum of angle 2 and angle 3 will be equal to 180° if they are on two parallel lines as they are interior angles on the same side of transversal .

As :-

∠2 + ∠3 ≠ 180°

63° + 107° is not equal to 180° ,

Therefore :-

These lines are not parallel as the sum of their interior angles on the same side of transversal is not equal to 180°.

Given :-

m∠8 = ( 6x - 1 )°

x = 9

= 6 × 9 - 1

= 54 - 1

= 53°

m∠4 = ( 5x + 3 )°

= 5 × 9 + 3

= 45 + 3

= 48°

angle 8 and angle 2 are vertically opposite angles , which means m∠8 = m∠2 .

m∠2 = 53°

As ∠2 and ∠4 are corresponding angles their value will be equal , if they are on parallel lines .

Since angle 2 , angle 8 and angle 4 are not equal these lines are not parallel lines .

Therefore :-

The lines are not parallel as their corresponding angles are not equal .

Angle 5 and angle 7 are corresponding angles they will be congruent when on parallel lines .

As , m∠5 ≅ m∠7 these lines are parallel .

Therefore :-

These lines are parallel lines as their corresponding angles are equal .

Angle 1 and angle 7 are vertically opposite angles , which means their angle measure will be equal . As angle 7 and angle 5 are corresponding angles their angle measure will also be equal .

Since m∠5 ≅ m∠7 , these lines are parallel .

Therefore :-

These lines are parallel lines as their corresponding angles are equal .

Here , the value of x is the same .

Which means :-

m∠2 = x + 15° is greater than m∠6 = x + 10°

Angle 2 and angle 6 are alternate interior angles , their values should be equal . But since their values are not equal , the lines on which they reside are not parallel .

Therefore :-

These lines are not parallel as their alternate interior angles are not equal .

It is given that angle 1 and angle 3 are supplementary angles . It is also clear that angle 1 and angle 2 are a linear pair , which means their angle sum will be equal to 180° . Also , angle 3 and angle 2 should be equal since they are the supplement of the same angle . Angle 2 and angle 3 are also corresponding angles . Since corresponding angles in two lines with a transversal will be equal and in these two lines the corresponding angles are equal , these lines are parallel lines.

Therefore , JK // HI as their corresponding angles are equal .

Answer:

-28

Step-by-step explanation:

Remember the order of operations: pemdas (parenthesis, exponent, multiply, divide, add, subtract). Just simplify the expression.

22 - 53 + 3

(22-53) + 3

-31 + 3

-28

Answer:

Your answer is: -28

Simplify the expression.

Step-by-step explanation:

Hope this helped : )

Answer:d

Step-by-step explanation:

Answer:

d is the answer to your question

Answer:

Approximately 0.11 acres can be planted with one pound of seed

Step-by-step explanation:

You use the rule of 3

66 pounds / 7 acres = ? pounds / 1 acre

? = 66 x 1 ÷ 7

? = 66 ÷ 7

? ≈ 9.23 pounds / acre

Now you know how many pounds you have for 1 acre. You reuse the formula from before

9.23 pounds / 1 acre = 1 pound/ ? acres

? = 1x1 ÷ 9.23

? = 1 ÷ 9.23

? = 0.11 acres/pound

Verify the answer:

0.11 x 9.23 ≈ 9.33, which is approximately 1 pound

Answer:

90 pounds per acre

Step-by-step explanation:

Im right

Answer:

the answer is: X=2

Answer:

220

Step-by-step explanation:

40 x 8 = 320

[tex]10^{2}[/tex] = 100

320- 100 = 220

Hope that helps and have a great day!

Answer:

220

Step-by-step explanation:

Rewritten in numerical terms, the problem is:

40 * 8 - 10^2

Remember PEMDAS:

10^2 = 100

40*8 = 320

320 - 100 = 220

220

Answer:

the answer is a

Step-by-step explanation:

1/4 times 2 is 2/8 then you add 2 plus 1 is 3 and 2/8 plus 3/8 is 5/8

Answer:

C

Step-by-step explanation:

Answer:

The answer to the question is 5 (positive 5)

Answer:

b=−5x+y

Step-by-step explanation:

Let's solve for b.

y=5x+b

Step 1: Flip the equation.

b+5x=y

Step 2: Add -5x to both sides.

b+5x+−5x=y+−5x

b=−5x+y

Answer:

x-9 yards

Step-by-step explanation:

x (the original position of the football team) -3(3)

so x-9 yards is the answer

Answer:

0.00002623

Step-by-step explanation:

You simply move 5 decimal places to the left.

Answer:

1. associative.  2. commutative.  3. identity.

Step-by-step explanation:

hope this helps :)

Answer:

A,B,D

Step-by-step explanation:

Answer:  The answer is 1.375

Step-by-step explanation:

Step-by-step explanation:

You multiply by 4/3 because you are essentially "dividing" both sides by 4/3. You have to take the reciprocal of 3/4 which is 4/3 in order to cancel out the 3/4 because 4/3 x 3/4 will be 1. So the problem will look like this:

(1/2)x + 2 = (3/4)y

4/3[(1/2)x + 2] = 4/3 x 3/4y

4/3[(1/2)x + 2] = y

4/6 x + 8/3 = y

y = 2/3(x) + 8/3

And then from here, if they gave a value for x and y, you can solve for the 2 variables.

Answer: x=1

Step-by-step explanation: Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

3*x+2*(5*x-3)-(7)=0

3x + 2 • (5x - 3)) - 7 = 0

Pull out like factors :

13x - 13 = 13 • (x - 1)

13 = 0

A a non-zero constant never equals zero.

Solve : x-1 = 0

Add 1 to both sides of the equation :

x = 1

4 is smaller than 9 y_ghyyyggyyggggdffghbv y_ghyyyggyyggggdffghbv

Answer:

k<-62/7

Step-by-step explanation:

I hope it helps.

Answer:

k> 56

Step-by-step explanation:

-35 -k + 6< -85

-29-k < -85

+29        +29

_______________

-k> -56

/-1

k> 56

Answer:

the answer is -10 -10+5=-5

Answer:

$840

Step-by-step explanation:

price  of 1 vacuum cleaner = $150

total no . of vacuum cleaner sole = 70

thus,

price of 70 vacuum cleaner sold = 70*price  of 1 vacuum cleaner

price of 70 vacuum cleaner sold = 70*$150 = $10,500

commission of Alonzo = 8% of total vacuum cleaner sold

commission of Alonzo = 8% of $10,500

commission of Alonzo = 8 /100 * $10,500 = $840

Thus, Alonzo made $840 in past month

Answer:

adjacent interior angle

Step-by-step explanation:

Answer:

25%

Step-by-step explanation: