If PR = 5x – 3 and QS = 3x – 5 and QS == PR, what are the length of the
diagonals?

Answer:

9 cm

Step-by-step explanation:

Given :

Area, A = 36cm²

Height, h = 8cm

Using the relation :

Area, A of triangle :

A = 1/2 * base * height

36 = 0.5 * base * 8

36 = 4 * base

base = 36 / 4

Base = 9 cm

Length of base is 9cm

The answer is D. 10 nickels

Answer:

The answer is D.) 10

Step-by-step explanation:

I took a quiz and according to that its correct

Answer:

6

Step-by-step explanation:

Factor the numerator, difference of squares

[tex]\frac{(x-3)(x+3)}{x-3}[/tex] ( cancel x- 3 on numerator/ denominator )

= x + 3

limit as x → 3 = 3 + 3 = 6

Answer:

your answer will be x=13

Step-by-step explanation:

hope it helps.

Answer:

anything that is greater than 6 like 7, 8, 9, 10, 11, etc...

cuz the inequality would be true; 7 > 6, 10 > 6, etc...

Step-by-step explanation:

hope this helps...

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Answer:

-0.86602540378  is the decimal form

and the exact form is − √ 3/2  

Answer:

The answer would be -19.8

Step-by-step explanation:

Hope this helps

Answer:

The answer is [tex](2x+3)^2[/tex].

Step-by-step explanation:

Multiply the coefficient of the squared term and the constant. Then, find the factors that add up to 12:

[tex]4*9=36\\36:\{1*36,2*18,3*12,4*9,6*6\}\\6+6=12[/tex]

Split the middle term:

[tex]4x^2+6x+6x+9[/tex]

Factor by grouping:

[tex][4x^2+6x]+[6x+9]\\2x(2x+3)+3(2x+3)\\(2x+3)(2x+3)\\(2x+3)^2[/tex]

Answer:

4

Step-by-step explanation:

1 ÷ 0.25 = 4

Answer:

60° 60° 60°

60°

Step-by-step explanation:

In any triangle, the sum of its interior angles is 180°, and 60+60+60=180.

As for the other question, we can see that angle5=angle1, and angle6=angle2, due to the parallelism of the lines.

Angle5+angle6=180°, therefore

Angle6=180-120=60°=angle2

Answer:

7.2x10^13

Step-by-step explanation:

Answer:

There is no significant evidence to conclude that the mean weight of laundry detergent is being underfilled or overfilled.

Step-by-step explanation:

The null hypothesis ; H0 : μ = 32

The alternative hypothesis : H1 : μ ≠ 32

The null hypothesis is the initial truth statement, therefore, when the Null hypothesis cannot be rejected, the conclusion goes thus :

There is no significant evidence to conclude that there is difference in the mean weight of laundry detergent. Hence, detergent is neither being underfilled or overfilled.

Answer:

120

Step-by-step explanation:

78 is 65% of what number.

Let's break down this expression.

In this case "is" means "equals" so we will use the equal sign (=)

65% can be written as 0.65 or 65/100

"of" indicates multiplication

"what number" will be represented by x.

Now, put this all together.

78 = 0.65 • x

To solve for x, divide both sides by 0.65

120 = x

This is your answer.

Check this by finding 65% of 120.

0.65 • 120 = 78

Your answer is correct.

Hope this helps!

Answer:

Step-by-step explanation:

The point-slope form of the equation that describes the line with a slope of m that contains the point (x₀, y₀) is: y - y₀ = m(x - x₀)

m = - 3

(1, 2)  ⇒    x₀ = 1,  y₀ = 2

Therefore:

y - 2 = -3(x - 1)

Answer:

13

Step-by-step explanation:

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Answer:

17/4 or 4 1/4

Step-by-step explanation:

Substitute x = 2 into the expression x² + 1/x².

Evaluate the exponents in the expression.

Multiply 4 by 4/4 to get a common denominator of 4.

Add the numerators together.

The value of x² + 1/x² if x = 2 is 17/4, or 4 1/4.

Answer:

x = 2

y = 4

Step-by-step explanation:

y = 2x

x = -y + 6,   y = 6 - x

substitute for y:

2x = 6 - x

3x = 6

x = 2

y = 4

Answer:

X= 2 sqrt of 7

Y=2 sqrt of 7

Step-by-step explanation:

I just know the answer srry

Answer and Step-by-step explanation:

So, the negatives cancel and turn into a positive.

The red squared of 5 become green squares.

Answer:

Ask a tutor girl under it you will see ask a tutor so click that

The prices which the school would collect $0 revenue are $0 and $ 40 respectively.

Since the revenue R(p) = p(200 - 5p).

The price at which the school earn s $0 revenue from the raffle sales is when R(p) = 0.

So, p(200 - 5p) = 0

p = 0 or 200 - 5p = 0

p = 0 or 200 = 5p

p = 0 or p = 200/5 = 4

So, the prices which the school would collect $0 revenue are $0 and $ 40 respectively.

The two ticket prices that would produce a revenue of $500 are $2.68 and $ 37.32

We need to find the two ticket prices that would result in a revenue of $500. So, R(p) = 500.

So, p(200 - 5p) = 500

200p - 5p² = 500

Re-arranging, we have

5p² - 200p + 500 = 0

Dividing through by 5, we have

p² - 40p + 100 = 0

Using the quadratic formula, we find the value of p.

So,

[tex]p = \frac{-(-40) +/- \sqrt{(-40)^{2} - 4 X 1 X 100} }{2 X 1} \\p = \frac{40 +/- \sqrt{1600 - 400} }{2} \\p = \frac{40)+/- \sqrt{1200} }{2} \\p = \frac{40 +/- 34.64 }{2} \\p = \frac{40 - 34.64 }{2} or p = \frac{40 + 34.64 }{2} \\p = \frac{5.36}{2} or p = \frac{74.64 }{2} \\p = 2.68 or 37.32[/tex]

So, the two ticket prices that would produce a revenue of $500 are $2.68 and $ 37.32

Learn more about revenue here:

https://brainly.com/question/25623677

Answer:

96m

Step-by-step explanation:

Answer:

[tex]8^2[/tex] and 4 x 4 x 4

Step-by-step explanation:

4 to the third power, is the same as 4 x 4 x 4.

This is then equal to 64.

8 squared is also equal to 64, making it also an answer.

None of the other ones work.

Hope this helps and have a nice day!! :) :] :D

Answer:

The total amount that he would have paid after 3 years is $1183.

Step-by-step explanation:

We would apply the formula for determining simple interest which is expressed as

I = PRT/100

I represents interest paid on the amount owed.

P represents the principal or initial amount owed.

R represents interest rate

T represents the duration for which the amount was owed in years.

P = $795

R = 16.25

T = 3 years

I = (795 × 16.25 × 3) ÷ 100

I = $388

Total amount that he would have paid after 3 years is $795 + $388 = $1183

The total amount that he would have paid after three years would be $1183.

Simple interest is defined as interest paid on the original principal and calculated with the following formula:

S.I. = P × R × T, where P = Principal, R = Rate of Interest in % per annum, and T = Time, usually calculated as the number of years. The rate of interest is in percentage r% and is to be written as r/100

The given data as per the question

P = $795

R = 16.25

T = 3 years

Simple interest =  P × R × T

Substitute the values,

Simple interest = (795 × 16.25 / 100 × 3)

Simple interest = (795 × 0.1625 × 3)

Simple interest = $388

The total payback amount :  $795 + $388 = $1183

Therefore, the total amount that he would have paid after three years is $1183.

Learn more about the simple interest here:

brainly.com/question/22621039

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2 and 4

Step-by-step explanation:

This image shows an example on corresponding angles.

Answer:

Angle 2 and 4