Triangle ABC was transformed to create triangle A'B'C'.

Answer:

x = 4

Step-by-step explanation:

Answer:

3.5

Explanation:

Take any two points of the line and simply use the formula slop = y2-y1/x2-x1

Two points that I consider

(x1, y1) = (5,0)

(x2,y2) = (7,7)

Now using the above mentioned formula,

y2-y1/x2-x1 = 7-0/7-5 = 7/2= 3.5

Hence slop of line is 3.5

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Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

#1; [tex]y = -\frac{7}{2}x+5[/tex]

Step-by-step explanation:

[tex]7x+2y=10[/tex]

[tex]2y = -7x + 10[/tex]

[tex]\frac{2y}{2} = -\frac{7x}{2} + \frac{10}{2}[/tex]

[tex]y = -\frac{7}{2}x + 5[/tex]

Answer:

39

Step-by-step explanation:

11.70 divided by 3 is 3.9, and the unit rate. Multiply by 10 for the answer.

Answer:

literally straight on the x axis

Part A

The probability of getting diamonds on the first draw is 13/52 since we have 13 diamonds out of 52 total.

The probability of getting a non-diamond card on the second selection is 39/51 since we have 39 non-diamond cards out of 52-1 = 51 cards left over. Whatever card that was selected first is not put back. In this scenario, we are picking exactly one diamond card.

The probability of both events occurring is (13/52)*(39/51) = 13/68. I skipped a few steps but hopefully you can see how I arrived at that fraction.

The same probability shows up if we had a non-diamond card drawn first followed by a diamond card. This is because we compute (39/52)*(13/51) = 13/68.

So overall, the answer as a fraction is 13/68 + 13/68 = 26/68 = 13/34

The answer in decimal form is roughly 13/34 = 0.3824 which converts to 38.24%

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============================================================

Part B

We're told that "given the first card drawn was a diamond" so we only need to worry about the second card.

We have 13-1 = 12 diamonds left out of 52-1 = 51 total.

The probability of picking another diamond is 12/51 = 0.2353 approximately. This converts to 23.53%

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Answer:

2290 trees

Step-by-step explanation:

Given data

Let the total number of trees be x

62% of the total trees x is 1420 trees

mathematically

62/100x= 1420

0.62x= 1420

divide both sides by 0.62

x= 1420/0.62

x= 2290.32

To the nearest whole tree= 2290 trees

Answer: 20inch

Step-by-step explanation:

Using the Pythagoras theorem:-

25^2 = 15^2 + x^2    where x = the width of the screen.

625 = 225 + x^2

x = √(625 - 225) = √400

= =  20 ins

Answer:

A and C

3x1/12= 3/12

3x1/2= 3/12

Answer:

100 degrees

Step-by-step explanation:

hi again,

By the linear pair theorem, Angle B + Angle E will equal 180 degrees

Angle B + 128 = 180

Angle B = 52

By the triangle Sum Theorem, Angle A + Angle B + Angle C = 180

48 + 52 + Angle C = 180

100 + Angle C = 180

Angle C = 80

Like I said, by the linear pair theorem, Angle C + Angle F will equal 180 degrees

80 + Angle F = 180

Angle F = 100

Answer:

4/3y

Step-by-step explanation:

Given the expression 12x^2 / 9x^2y

12x^2 / 9x^2y

= (3*4)* x * x/(3*3)*x*x*y

= 4x^2/3x^2y

= 4/3y

hence  the simplified form is 4/3y

Answer:

96

Step-by-step explanation:

first off you know that it is a square pyramid, so you can assume that all base lengths are 6.

i am going to find the base first. it is 36 because 6*6-36 save this in your mental memory

next, we have to find the 4 triangles

we know that they are 5 by 6 but you have to divide them by 2

so 30/2=15 and there are 4 of them

15*4=60

now add together 60 and 36 and you get 96

hope this helps!

Answer:

The order of fruit from least to greatest weight is -

Apple , pear, navel orange, grapefruit

Step-by-step explanation:

P.S - The exact question is -

Given - Sophia buys an apple that weighs 0.45 pound, a grapefruit that weighs [tex]\frac{3}{4}[/tex] pound, a navel orange that weighs [tex]\frac{5}{8}[/tex] pound, and a pear that weighs 0.5 pound.

To find - What is the order of the fruit from least weight to the greatest weight ?

Proof -

Weight of apple = 0.45 pound

Weight of grapefruit = [tex]\frac{3}{4}[/tex] pound = 0.75 pound

Weight of navel orange = [tex]\frac{5}{8}[/tex] pound = 0.625 pound

Weight of a pear = 0.5 pound

As,

0.45 < 0.5 < 0.625 < 0.75

So, The order of fruit from least to greatest weight is -

Apple , pear, navel orange, grapefruit

Answer:

Ray was y years old when Ron was born

Step-by-step explanation:

Hey there!

The correct answer is y years old.

If he is y years older, that means that when Ron was 0, or when he was just born, Ray was y years older.

Have a terrificly amazing day! :D

Answer:

The values of [tex]f[/tex] and [tex]g[/tex] are, respectively:

[tex]f = 6\,cm[/tex], [tex]g = 8\,cm[/tex]

Step-by-step explanation:

The area of the triangle ADE is:

[tex]A_{ADE} = 60\,cm^{2}-48\,cm^{2}[/tex]

[tex]A_{ADE} = 12\,cm^{2}[/tex]

The area of the triangle is defined by the following formula:

[tex]A_{ADE} = \frac{1}{2}\cdot AD\cdot DE[/tex] (1)

If we know that [tex]A_{ADE} = 12\,cm^{2}[/tex] and [tex]DE = 4\,cm[/tex], then the length of the line segment [tex]AD[/tex] is:

[tex]AD = \frac{2\cdot A_{ADE}}{DE}[/tex]

[tex]AD = 6\,cm[/tex]

And the area of the rectangle is:

[tex]A_{ABCD} = AD\cdot CD[/tex] (2)

If we know that [tex]A_{ABCD} = 48\,cm^{2}[/tex] and [tex]AD = 6\,cm[/tex], then the length of the line segment [tex]CD[/tex] is:

[tex]CD = \frac{A_{ABCD}}{AD}[/tex]

[tex]CD = 8\,cm[/tex]

Hence, the values of [tex]f[/tex] and [tex]g[/tex] are, respectively:

[tex]f = 6\,cm[/tex], [tex]g = 8\,cm[/tex]

Answer:

Associative property of addition

Answer:

B.Associative property of addiction

Step-by-step explanation:

Answer:

Step-by-step explanation:

A(5/100)=135

A=100(135)/5

A=$2700

Answer:

D

Step-by-step explanation:

5/100 = 135/x

Cross multiply

5 × x = 100 × 135

5x = 13500

Divide both sides by 5 to isolate the variable

x = 2700

$2700

Check work by plugging the x value into the equation

5/100 = 135/2700

Convert 5/100 so that it has the same denominator as the other fraction

5 × 27/100 × 27

135/2700

135/2700 = 135/2700

Do they equal?

Yes, so our answer is correct

Answer:

6 2/3 lbs of each

Step-by-step explanation:

.10x + .35x = 15(.20)

.45x = 3

x = 3/4.5

x = 6.67

Answer:

Step-by-step explanation:

[.1x+.35(15-x)]/15=.2

.1x+5.25-.35x=3

-.25x+5.25=3

-.25x=-2.25

x=9

So he will use 9lbs of 10% and 6lbs of 35%.

Answer:

{x,y} = {3,-2}

Step-by-step explanation:

Then the intersection point is (3, -2). Then the solution of the equations will be (3, -2).

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

x/a + y/b = 1

Where 'a' is the x-intercept of the line and ‘b’ is the y-intercept of the line.

The equations are given below.

5x + 7y = 1

x + 4y = -5​

Convert the equation into an intercept form. Then we have

From equation 1, then we have

5x + 7y = 1

x / (1/5) + y / (1/7) = 1

From equation 2, then we have

x + 4y = -5​

x / (-5) + y / (-5/4) = 1

The lines are drawn below.

Then the intersection point is (3, -2). Then the solution of the equations will be (3, -2).

More about the linear equation link is given below.

https://brainly.com/question/11897796

#SPJ2

Answer:

D. 157.5

Step-by-step explanation:

Formual for sum of interior angles

(n-2)*180

so 14*180=2520

but that is the sum

divide that by 16 (2520/16) = 157.5

Answer:

x = 19/4 and y = 15/8

Step-by-step explanation:

Given:

y = (-3/2)x + 9

2x + 4y = 17

Move y to one side:

2x + 4y = 17

y = 17/4 - x/2

Solve for x:

(-3/2)x + 9 = 17/4 - x/2

x = 19/4

Substitute x to solve for y:

y = (-3/2)(19/4) + 9

y = 15/8

2(19/4) + 4y = 17

y = 15/8

Answer:

5

Step-by-step explanation:

The common ration can be found by dividing the 2nd number from the 1st number:

250 / 50

which equals 5

250 / 50 = 5

         you can do this by any number, for example:

         50 / 10 =5

         10 / 2 = 5

Answer and Step-by-step explanation:

[tex]-3y^{9}[/tex]

This value above is ONE term. Even though it is made up of more values and stuff, it is all one term BECAUSE they are all connect, so the -3 is with the y by multiplication, and the 9 is with -3y as an exponent of y.

#teamtrees #PAW (Plant And Water)

Answer:

904.32 ft^3

Step-by-step explanation:

Sphere Volume Formula: [tex]\frac{4}{3}[/tex][tex]\pi r^{3}[/tex]

Plug in the numbers:

[tex]\frac{4}{3}\pi 6^{3}[/tex]≅904.78

Answer:

t + 2p = cost of 1 family member

Step-by-step explanation:

Because there are 5 family members who buy 1 ticket and 2 boxes of popcorn, we must multiply the cost of one family member by five .

5(t + 2p) = total cost of the whole family.

We can distribute 5 and the above equation will become.

5t + 2(5)p ⇒ 5t + 10p = total cost of the whole family.

Hope that helps! :)

Answer:

Step-by-step explanation:

t + 2p = cost of 1 family member

since there are 5 family members who bought one ticket and 2 popcorn, we simply multiply the cost of 1 family member by 5.

5(t + 2p) = total cost of the whole family.

We can distribute 5 and the above equation will become.

5t + 2(5)p ⇒ 5t + 10p = total cost of the whole family.

Answer:

628.4cm²

Step-by-step explanation:

Find the diagram attached

Area of the semi circle = πr²/2

r is the radius = 10cm

Area of the semi circle = π(10)²/2

Area of the semi circle = 3.142(100)/2

Area of the semi circle = 314.2×2cm²

Area of the semi circle =628.4cm²

Hence the area of the semicircle is 628.4cm²