What type of angles are ECH and FCG?

Answer:

x = 0.5 or [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

7+3x-12x=3x+1

  -3x      =-3x     cross out 3x

[tex]7-12x=1[/tex]  subtract 7 on both sides

-7          =-7

[tex]-12x=-6[/tex] divide -12 into both sides

[tex]\frac{-12x}{-12} = \frac{-6}{-12}[/tex]  cross out -12 and divide -6/-12 = 0.5

To check

7+3(0.5)=8.5 - 12(0.5)=2.5

3(0.5)=1.5+1= 2.5

Answer:

Step-by-step explanation:

(3/4)(5/8) = 15/32

Answer:

1

Step-by-step explanation:

1) The equation is 1 1/2 ÷ x = 2/3

2) You can multiply 2/3 with 1 1/2 to get your answer

3) 2/3 × 1 1/2 = 1

Hope this helps!

Given:

Number of passengers seated in the roller coaster = 21

Empty seats = 3

Number of cars in roller coaster = 4 (each with the same number of seats)

To find:

An equation that can be used to determine the number of seats in each car.

Solution:

Let s be the number of seats in each car.

Total number of seats in 4 cars = 4s

Using the given information,

Total number of seats = Occupied seated + Empty seats

                                   = 21 + 3

                                   = 24

Now, the required equation is

[tex]4s=24[/tex]

Therefore, the required equation is [tex]4s=24[/tex].

Divide both sides by 4.

[tex]s=\dfrac{24}{4}[/tex]

[tex]s=6[/tex]

Therefore, the number of seats in each car is 6.

Answer: 16,000,000 years

Step-by-step explanation:

The question already states the formula for time so

1600/0.0001= 16,000,000

Answer:

Step-by-step explanation:

1) a-2b+3c

2) 2a+(6+3)²

Answer:

√8 and √23

Step-by-step explanation:

The appropriate square root are √7 and √20.

Given that, each number graphed is the square root of a whole number that is not a perfect square.

We need to write the appropriate square root in each box.

The square root of a number is the inverse operation of squaring a number. The square of a number is the value that is obtained when we multiply the number by itself, while the square root of a number is obtained by finding a number that when squared gives the original number.

Now, we can see the decimal numbers marked on the number line are 2.7 and 4.39.

So, 2.62²=6.8644≈7

Then the square root of number is √7

4.39²=19.2721

Then the square root of number is √20

Therefore, the appropriate square root are √7 and √20.

To learn more about the square root visit:

https://brainly.com/question/3120622.

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Answer:

d = 2[tex]\sqrt{3}[/tex]

Step-by-step explanation:

[tex]d= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\d= \sqrt{(3-9)^2+(6-2)^2} \\d= \sqrt{(-6)^2+(4)^2} \\d= \sqrt{(36)+(16)} \\d= \sqrt{52} \\d=2 \sqrt{13}[/tex]

Answer:

Perimeter: 42cm

Area: 66cm^2

Step-by-step explanation:

Answer:

P42 cm - P26 cm = 16 cm + 13 cm = P = 26 cm

Step-by-step explanation:

Those are two rectangles. One total and deduct the missing piece.

P=2(l+w)

First: Total 12 by 9 rectangles = P42 cm

Second: Lengths = 12 -5 = 7 and 9-3 = 6 = P=26

Thirs: add the missing lengts! 7 + 6 cm

Solving for w by making w the subject of the formula, we would have: D. w = (P - 2l)/2.

To make a variable a subject of the formula, we solve for the variable.

Given the equation, P=2l + 2w, we are required to solve for w.

Thus:

P = 2l + 2w

Subtract both sides by 2l

P - 2l = 2w

Divide both sides by 2

(P - 2l)/2 = w

w = (P - 2l)/2

Therefore, solving for w by making w the subject of the formula, we would have: D. w = (P - 2l)/2.

Learn more about change of subject of formula on:

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Answer:

see explanation

Step-by-step explanation:

Given the points (a, c ) and (b, c )

Since the y- coordinates are equal the distance formula simplifies to

d = [tex]\sqrt{(x_{2}-x_{1})^2 }[/tex]

with x₁ = a and x₂ = b

d = [tex]\sqrt{(b-a)^2}[/tex] = b- a

Answer:

13. 60

15. 200

Step-by-step explanation:

These are the answers because:

1) Since they are asking us to round to the tens place or the hundreds place we have to look at the ones digit and the tens digit.

2) For 13, the answer is 60 because the rounding digit is 5. Since the digit is 5, we have to round up the digit in the tens place. Therefore, it becomes 60.

3) For 15, the answer is 200 because the rounding digit is 3. Since the digit is 3, we have to keep the same number. Therefore, the answer is 200.

Hope this helps!

Answer:

Step-by-step explanation:

y - 2 = 2(x - 6)

y - 2 = 2x - 12

y = 2x - 10

Answer:

-2 or -14/7 (they're the same)

Step-by-step explanation:

I hope this helps!

Answer:

Step-by-step explanation:

-3 ²/₇ - ( - ⁵/₇)

- 23 / 7  + 5 / 7

_  23 + 5

       7

_ 18

    7

- 2 ⁴/₇  

Answer:

-4

Step-by-step explanation:

thats the answer

Answer:

X= -4

Step-by-step explanation:

X+8=4 this is a one step equation first, you subtract 8 on both sides that gives you

x=-4

thats your answer

Answer:

x=6

Step-by-step explanation:

I hope this helps you

Answer:

32-8 + 3x = 7x

24 + 3x = 7x

Then subtract the 3x and move it to the other side

24 = 4x

Then divide both side by 4

24/4 = 4x/4

The answer is

x = 6

Slope:

[tex]\sf{\dfrac{2}{5}}[/tex]

Explanation:

Parallel lines have the same slope, so the slope of y = 2/5x + 2 will be the same as the slope of the line which is parallel to it.

The equation is written in slope-intercept form, aka y = mx + b, where m is the slope and b is the y-intercept.

In slope intercept, the slope is always the number that comes before x.

For this equation, the number in front of x is 2/5.

So, I come to the conclusion that the slope of the line parallel to y = 2/5x + 2 is 2/5.

Answer:

Step-by-step explanation:

Domain : Set of all possible input values (x-values) on a graph

Codomain : Set of all possible out values for the input values (y-values) on the graph

Range : Actual output values for the input values (x-values) given on the graph.

Therefore, for the given graph,

Domain : (-∞, ∞)

Codomain : (-∞, 2]  

Range : (-∞, 2]

From the given graph every input value there is a image or output value.

Therefore, the given function is onto.

Answer:

7.2*10⁶

Step-by-step explanation:

0.0000072 =  7.2*10⁶

Answer:

X = - 7/2 or -6

Step-by-step explanation:

2x^2 + 19x + 40 = -2

2x^2 +19x + 40+2 = 0

2x^2 + 12x +7x+42= 0

2x(x+6) 7(x+6) =0

(2x+7) (x+6) = 0

2x+7 = 0

2x = -7

2x÷2=-7÷2

X= -7÷2 and

X+6=0

X=-6

Answer:

a = 1

Step-by-step explanation:

Step 1: Write equation

a - 2(4 - a) = 7a - 12

Step 2: Solve for a

Distribute -2: a - 8 + 2a = 7a - 12

Combine like terms: 3a - 8 = 7a - 12

Subtract 3a on both sides: -8 = 4a - 12

Add 12 on both sides: 4 = 4a

Divide both sides by 4: a = 1

Step 3: Check

Plug in x to verify if it's a solution.

1 - 2(4 - 1) = 7(1) - 12

1 - 2(3) = 7 - 12

1 - 6 = -5

-5 = -5

Answer:

Step-by-step explanation:

equation given:   a - 2(4 - a) = 7a - 12

distribute and expand the equation

a - 8 + 2a = 7a - 12

combine similar terms:

a + 2a - 7a = -12 + 8

simplify:

-4a = -4

a = -4 / -4

proof that a = 1

a - 2(4 - a) = 7a - 12

1 - 2(4 - 1) = 7(1) - 12

1 - 2(3) = 7 - 12

1 - 6 = -5

-5 = -5  therefore, the a = 1 is correct.

Answer:

$225

Step-by-step explanation:

A quarter is made up of 4 months,

If auto insurance is $900 per quarter, the monthly expense would be $900 / 4 = $225

This can be written as -8 + (-10). Subtracting a positive is the same as adding a negative.

One way to think of negatives is to think of debt in money. Writing -8 means you are 8 dollars in debt. Add on 10 more dollars of debt and you'll be 8+10 = 18 dollars in debt total. So this is one way to see how -8-10 = -8+(-10) = -18.

Or you can think of it as if you are in a submarine. The number -8 could represent the idea you are 8 miles below sea level. Then if we subtract 10 from this, or add on -10, it means we're going down another 10 miles to get a total depth of 18 miles below sea level. At this point, we would write -18.

Answer:

f(n+1) = 13

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

[tex]x=1[/tex]

Step-by-step explanation:

Start with:

[tex]5x+2=3x+4(2x-1)[/tex]

Distribute the [tex]4[/tex] into [tex](2x-1)[/tex]:

[tex]5x+2=3x+8x-4[/tex]

Combine like terms:

[tex]5x+2=11x-4[/tex]

Add [tex]4[/tex] to both sides of the equation:

[tex]5x+6=11x[/tex]

Subtract [tex]5x[/tex] from both sides of the equation:

[tex]6=6x[/tex]

Divide both sides of the equation by the coefficient of [tex]x[/tex], which is [tex]6[/tex]:

[tex]1=x[/tex]

or

[tex]x=1[/tex]