Find the values of the variables for the parallelogram.

mZ1 = 5y – 20

X=

Y=

Z=

Answer: [tex]3\frac{1}{3}[/tex]

Answer:

1/3

Step-by-step explanation:

Parallel lines have the same slope.

Therefore, if the slope of line b is 1/3, the slope of line a is also 1/3

Answer:

[tex](x-5)^{2}[/tex]

Step-by-step explanation:

[tex]ax^{2} + bx + c[/tex]

Take the value for b, divide it by 2 and square it to get the value for c.

In this case, b = -10.

- 10 ÷ 2 = -5

-5^2 = 25

So x^2 - 10x +25 is your quadratic equation which is equal to

[tex](x-5)^{2}[/tex]

The trial of stimulation that can model the probability of the gender of the kittens is tossing a coin five times and count the number of heads.

Probability simply means the chance of the occurrence of an event. It's the numerical description of how likely an event will occur.

In this case, from the complete question, the trial of stimulation that can model the probability is to toss a coin five times and count the number of heads. The gender of the kittens can be allocated to the head or tail of the coin.

This is important to determine the probability that in a litter of 5 kittens, there will be more female than male kittens.

Learn more about probability on:

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Answer:

m = 5

n = 5

Step-by-step explanation:

Note that the ∑ of the interior angles of a triangle = 180°.

A square for one of the angles constitute as 90°.

This means that this is a isosceles triangle.

Note that for isosceles triangles, the sides will follow the rule of 1 , 1 , √2, in which √2 is the hypotenuse.

The hypotenuse is the side opposite of the greatest angle measurement. It is given that the hypotenuse for the given triangle is 5√2. Divide √2 from the given measurement to get the measurements for the legs:

[tex]\frac{5\sqrt{2} }{\sqrt{2} } = 5[/tex]

Again, as it is a isosceles triangle, the two sides will share the same measurement.

m = 5

n = 5

~

Answer:

3 ft

Step-by-step explanation:

(I assumed that this was a rectangular prism based on the dimensions given, but do correct me if I assumed incorrectly.)

The formula for finding the volume of a rectangular prism is: [tex]V=w*h*l[/tex]

In this case, we already know that the volume of the prism is 24, so we can plug 24 in for V:

[tex]24=w*h*l[/tex]

We also already know the height and the length because they gave it to us, so we can plug it in as follows:

[tex]24=w*2*4[/tex]

Then we can multiply 2 and 4 on the right side:

[tex]24=w*8[/tex]

Then, to get the w alone, we can divide by 8 on both sides:

[tex]3=w[/tex]

Now that gives us that the width of the rectangular prism is 3ft.

Answer: 6(1+2x)

Step-by-step explanation:

Factor out the six

Answer:

Hey! I have two answers for you. If x is next to the denominator of 7 then its  −1/35 but if x is next to the whole fraction then its just -35

Step-by-step explanation:

Answer:

3.75 miles

Step-by-step explanation:

Displacement is the shortest distance from the initial to the final position. So to calculate you do 15 - (3/4 of 15) = 3.75

Answer:

Wouldn't both of the witch watch whichever watch they felt like watching?

Step-by-step explanation:

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

Work Shown:

If cos(A) = sin(B), then A+B = 90, where A & B are both acute angles in degree form.

In this case, A = 52, so,

A+B = 90

B = 90-A

B = 90-52

B = 38

Telling us that

cos(A) = cos(52) = 0.6157

sin(B) = sin(38) = 0.6157

cos(52) = sin(38)

Answer:

1) If the measure of an angle is 30°, then it is a right angle

2) The hypothesis = The measure of an angle is 30°

The conclusion = It is a right angle

3) The statement is false

Step-by-step explanation:

1) The information given is that an angle is a right angle if it measures 30°

The statement in the if-then form can be presented as follows;

If the measure of an angle is 30°, then it is a right angle

2) The hypothesis = The measure of an angle is 30°

The conclusion = It is a right angle

3) Given that a right angle measures 90°, the compound statement; "If the measure of an angle is 30°, then it is a right angle" is false.

Answer:

B because based by what I'm seeing it is the same answer to the other equation. Which is -34.

Answer:

3-2r + 1 - 13

Step-by-step explanation:

3-2r + 1 - 13

Answers:

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

Work Shown:

3 < 2x+1 < 13

3-1 < 2x+1-1 < 13-1 .... subtract 1 from all sides

2 < 2x < 12

2/2 < 2x/2 < 12/2 ... divide both sides by 2

1 < x < 6

The value of x is between 1 and 6, excluding both endpoints.

Since we exclude both endpoints, the graph will have open holes at 1 and 6 on the number line. The shading is between the open holes. The graph is below.

Converting 1 < x <6 to interval notation leads to (1, 6)

The curved parenthesis in interval notation indicate "exclude the endpoint".

Answer:

There are two patterns to chose two different biscuits; a digestive then a chocolate or a chocolate and then a digestive.

The probability of choosing a digestive then a chocolate is as follows:

7/12 * 5/11 =0.265

The probability of choosing a chocolate then a digestive is as follows:

5/12*7/11 = 0.265

Therefore the combined probability is 0.53 or 53%

Probability of digestive and chocolate

And

Probability of digestive and ginger

And

Probability of ginger and chocolate

Answer:

Your Answer is below.

Step-by-step explanation:

Okay so, can setup a proportion.

0.72 km = 0.01 L

x km = 1 L

So, solve for x

x = 0.72 km x 1 L / 0.01 L = 72 km

Answer:

$13.25

Step-by-step explanation:

100% = $53

÷ 4 both sides to get to 25%

25% = $13.25

Answer:

Twenty-one Thousand

Step-by-step explanation:

Answer:

$1050

Step-by-step explanation:

6.25 x 24 = 150

150 x 7 = 1050

Answer: The answer is $1050

Step-by-step explanation: You why? Because 6.25 x 24 = 150 150 x 7 = 1050 so it's $1050

Answer:

2.5%

Step-by-step explanation:

Solving

Step 1: Set up an equation.

Step 2: Simplify both sides.

Step 3: Divide both sides by 0.2

Therefore, 0.5 is 2.5% of 20.

Have a lovely rest of your day/night, and good luck with your assignments! ♡

X=?

0.5

total from 20

what percentage is O.5 of 20

therefore X/100*20 = 2.5

Answer: 5/12

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

[tex] {x}^{2} = {16}^{2} + {12}^{2} [/tex]

[tex] { x}^{2} = 256 + 144[/tex]

[tex] {x}^{2} = 400[/tex]

[tex]x = 20[/tex]

Step-by-step explanation:

Standard form is when the degree is in decreasing order

Second polynomial has the first term with highest exponent and second term with second highest exponent and so on

Addison needs to cut $45 from Food/Clothes and $41 from Entertainment, to pay the revised monthly payment.

It is given that

Addison has a balance of $3,450 on her credit card.

APR = 18%

Current monthly payment = $86.25

She wants to choose a monthly payment for 24 months.

So for 24 months,

A revised monthly payment using formula,

[tex]M = \frac{P.\frac{R}{12}. (1+\frac{R}{12} )^N }{(1+\frac{R}{12})N -1}[/tex]

R = 0.18

P = 3450

N = 24

Revised montly payment M = $172.24

Current monthly payment = $86.25

Difference = $86

So, she needs to cut the expenses by  $86

If she cut $45 from Food/Clothes and $41 from Entertainment, she can easily pay the revised monthly payment.

Therefore, Addison needs to cut $45 from Food/Clothes and $41 from Entertainment, to pay the revised monthly payment.

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Answer:

$0.65

Step-by-step explanation:

$0.40 + $0.25 = $0.65

Answer:

0.40p+0.25a=cost

Step-by-step explanation:

Considering that every apple costs 25 cents and every pear costs 40 cents, you would multiply how many apples and or pears there are by how much they are worth and then add it to get the total cost. Due to there not being a specific total or how many apples and/or pears there are, it currently can't be solved.

Answer:

here you go

Step-by-step explanation:

First: work out the difference (increase) between the two numbers you are comparing.

Increase = New Number - Original Number.

Then: divide the increase by the original number and multiply the answer by 100.

% increase = Increase ÷ Original Number × 100.

Answer:

He would need 3/4 a gallon to paint the wall

Step-by-step explanation: