In the diagram shown below, ABC and ABF  BCD.
Prove: BF  CD

Answer:

c

Step-by-step explanation:

Answer: a

Step-by-step explanation:

2.99 - 17% = 2.49

Answer:

2/3

Step-by-step explanation:

-1/3 + 1

2/3

This problem is the same as writing 1 - 1/3.

1 can become 1/1, which can become 3/3.

3/3 - 1/3 = 2/3

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Answer:

0.6 (its repeating meaning there are an infinite amount of 6's) or the fraction form, 2/3

Step-by-step explanation:

Answer:

A and C

Step-by-step explanation:

325 and 300 + 20 +5= 325

In order to determine the area of a composite shape, the shape must divide into smaller shapes, the areas of which must then add back together.

[tex]6*12+8*10=152[/tex]

The area is 152 squared inches.

Answer:

152 in²

Step-by-step explanation:

Separate the composite figure into two rectangles (see attachment).

Area of a rectangle

[tex]\large\boxed{A = wl}[/tex]

where:

Area of rectangle 1

[tex]\begin{aligned}\implies A&=6 \times 20\\&=120\; \sf in^2\end{aligned}[/tex]

Area of rectangle 2

[tex]\begin{aligned}\implies A&=(10-6) \times 8\\&=4 \times 8\\&=32\; \sf in^2\end{aligned}[/tex]

Total Area

[tex]\begin{aligned}\implies \textsf{Total Area}&=120+32\\&=152\; \sf in^2\end{aligned}[/tex]

I hope you can follow the formula and solution.

Answer:

No

Step-by-step explanation:

Swap the points into the equation:

y=9x

1=9*3

1=27

The equation is false, hence it doesn't satisfy the

equation

Step-by-step explanation:

6(x + 4) = 20

6x + 24 = 20

6x = 20 - 24

6x = -4

x = -4/6

x = -2/3

Answer:

⅔

Step-by-step explanation:

6(x + 4) = 20

(6 . x) + (6 . 4) = 20

6x + 24 = 20

6x = 20 - 24

6x = (-4)

x = (-4)/6

x = - ⅔

Answer:

x = 5

Step-by-step explanation:

For A to be parallel to B

the alternate exterior angles must be equal

13x - 8 = 9x + 12

Subtract 9x from both sides

4x - 8 = 12

add 8 to both sides

4x = 20

Divide both sides by 4

x = 5

Answer:

Step-by-step explanation:

I answer for what I understand,

the question is really confused.

(60 + 15) + 3 - 2(4) + 23 =

75 + 3 - 8 + 23 =

78 - 8 + 23 =

70 + 23 =

93

Answer:

Step-by-step explanation:

Add 60 and 15

Cube 2

Divide 75 by 3

Multiply 2 by 4

Subtract 8 and 25

Add 17 and 8

Hi there!

-----------------------------------------------------------------------------------------------------------------

y=2-3x

2=2-3(0)

2=2-0

2=2

So we get a true statement. So Option 1 is correct.

-5=2-3(1)

-5=2-3

-5=-1

We get a false statement. Therefore, this isn't the right ordered pair.

Now, let's try the next ordered pair:

-7=2-3(3)

-7=2-9

-7=-7

So this ordered pair is a solution of this equation as well.

Now, try the next one:

5=2-3(-1)

5=2+3

5=5

So this is a solution as well.

8=2-3(-2)

8=2+6

8=8

So this pair is a solution as well.

-3=2-3(-3)

-3=2+9

-3=11

So here, we get a false statement. Therefore, this isn't the solution.

y=-x/3-2

-4=-3/3-2

-4=-1-2

-4=-3

We get a false statement. Therefore, this isn't the solution.

(2, -6) isn't a solution as well.

Hope it helps!

~SparklingFlower (:

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Answer:

6m-27

Step-by-step explanation:

The equivalent expression of 9(4/3m- 5 - 2/3m + 2) is 6m/3 - 27.

The correct option is C.

Expressions that are equivalent to the same thing, even when they have distinct appearances. When we enter the same value(s) for the variable, two algebraic expressions that are equivalent have the same value (s).

Given;

The expression 9(4/3m- 5 - 2/3m + 2).

To find the equivalent expression:

Simplifying,

9(4/3m- 3 - 2/3m)

= 9(4m/3 - 2m/3 -3)

= 9{(4m-2m)/3 -3}

= 9 {2m/3 - 3}

= 6m/3 - 27.

Therefore, 6m/3 - 27 is the equivalent expression.

To learn more about the equivalent expression;

https://brainly.com/question/28170201

#SPJ2

Step-by-step explanation:

= 700 + 500 + 100 - 300

= 1200 + 100 - 300

= 1300 - 300

= 1000

Step-by-step explanation:

smaller is X

larger is 6X

Their sum is 180

X + 6x = 180

7x = 180

x = 25.7142

The smaller angle is 25.7142

The larger angle is 154.2857142857

Answer:

  (d)  y is dependent on x

Step-by-step explanation:

The relation ...

  y = g(x)

tells you that y is dependent on x; x is the independent variable.

Answer:

9 m

Step-by-step explanation:

Area of parallelogram: Base x height

Area of triangle: 1/2 x base x altitude

=> (9 x 5) + (1/2 x 9 x 8) m² = Area of the figure.

=> 45 + (9 x 4) m² = Area of the figure.

=> 45 + 36 m² = Area of the figure.

=> 81m² = Area of the figure.

=> 9m = Area of the figure.

Therefore, 9 m is your answer.

Hoped this helped.

Answer:

81

Step-by-step explanation:

Answer:

2(3x-1)=6x-2

6x-2=6x-2

6x-6x=2-2

x=0

Step-by-step explanation:

l

Answer: $50,615

Step-by-step explanation:

53,000×4.5%=2,385

53,000 - 2,385 = $50,615

Answer:

The absolute value of any number (positive or negative) is always positive.

h+8=15

Subtract 8 from both sides.

h=7

:)

Answer:

7

Step-by-step explanation:

absolute value means the distance from zero.

the absolute value of -8 is 8 because it is 8 units away from 0.

thus, the equation can be written as h+8=15.

h=7 because 15-8=7

Answer:

[tex]13\frac{43}{64}[/tex]

Step-by-step explanation:

We can see the numerator is being multiplied by 3 and the denominator is being multiplied by 4.

[tex]\frac{45*3}{16*4} =\frac{135}{64}[/tex]

Then we will add them,

[tex]5 + \frac{15}{4}+\frac{45}{16} +\frac{135}{64} becomes \frac{320}{64} +\frac{240}{64} +\frac{180}{64} +\frac{135}{64}=\frac{875}{64} =13\frac{43}{64}[/tex]

You can also use formulas to solve this as well, but this way should work too as there are not very many terms :)

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Answer:

B is the answer.

Step-by-step explanation:

Im just smart.

Answer:

21

Step-by-step explanation:

The solution is A = 10

The value of the equation A = a + 10 , when a = 7 is A = 10

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

A = a + 3   be equation (1)

when a = 7

Substitute the value of a = 7 in the equation , we get

A = 7 + 3

On simplifying the equation , we get

The value of A = 10

Therefore , the value of A is 10

Hence , the equation is A = 10

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ2

Answer:

  128 g

Step-by-step explanation:

Ronald's share of the strawberries can be found from the proportion ...

  ronald's/total = 8/(2+8)

  ronald's = (160 g)(8/10) = 128 g

Ronald got 128 g of strawberries.

_____

William got 32 g.

Step-by-step explanation:

total ratio=10

William's ratio=2

Roland's ratio=8

Roland's share=8/10×160g

=4/5×160g

Roland's share =128g.

Step-by-step explanation:

[tex] = \sqrt{x} .4 \sqrt{x} [/tex]

[tex] = {x}^{ \frac{1}{2} } \times 4 {x}^{ \frac{1}{2} } [/tex]

[tex] = 4 {x}^{ \frac{1}{2} + \frac{1}{2} } [/tex]

[tex] = 4 {x}^{ \frac{2}{2} } [/tex]

[tex] = 4 {x}^{1} [/tex]

[tex] = 4x[/tex]

Answer:

-3/4

Step-by-step explanation:

Answer:

370 000

As it varies directly we know the values are directly proportional.

This means we can calculate the ratio of people to tons of pollutants and apply it to 500 000

So, 29600/40000= 0.74

Now, 500 000 × 0.74 = 370000

Answer: 370000 t

Step-by-step explanation:

[tex]40000 ~p - 29600 ~ t \\\\ 500000 ~ p- x ~ t \\\\ x=\dfrac{500000\cdot 29600}{40000}=\dfrac{50\cdot 29600}{4} =7400\cdot 50 =\bf 370000 \ t[/tex]

Answer:

m<h=59º

Step-by-step explanation:

126=6x-1+17+5x

126=11x+16

126-16=11x

120-10=11x

110=11x

10=x

6(10)-1=59

Answer:

m<H = 59°

Step-by-step explanation:

Use the theorem on the measure of an exterior angle of a triangle.

5x + 17 + 6x - 1 = 126

11x + 16 = 126

11x = 110

x = 10

m<H = 6x - 1

m<H = 6(10) - 1

m<H = 60 - 1

m<H = 59°