what is the length of PR?

Answer:

Step-by-step explanation:

180 - 67 = 113

180 - 113 - 42 = 25

α = 25º

Answer & Step-by-step explanation:

For this problem, we will be doing subtraction. First, we need to find the measurement of the angle beside the angle that measures 95°. We can do this by subtracting 95 from 180 because those angles are a linear pair meaning their measurements equal 180°.

180 - 95 = 85

So, the measurement of that angle is 85°. Now that we know this measurement, we can find the value of x. We can do this by adding 60 to 85 and then subtracting that sum from 180. All triangles have a total interior angle sum of 180°.

180 - (60 + 95)

180 - 155

25

So, the value of x is 25°

Answer:

35

Step-by-step explanation:

first, find the angle next to 95. subtract 95 from 180 since those two angles create a line. how you have 85. the total measure of all angles in a triangle is 180. so, 60+85+x=130. when solved, x=35 :)

Answer:

[tex]x=3[/tex]

Step-by-step explanation:

Add like terms and get x by itself.

[tex]2x-3+4x=21\\6x-3=21\\6x=18\\x=3[/tex]

Answer:

0<t<5/4  or B

edge

The interval of time, the acorn moving through the air is t > 5/4.

A word problem is a verbal description of a problem situation. It consists of few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.

For the given situation,

An acorn falls from the branch of a tree to the ground below = 25 feet

The equation is [tex]S(t) = -16t^2 + 25[/tex], where t is the number of seconds and

S is the distance.

At t=0,

⇒ [tex]S(0) = -16(0)^2 + 25[/tex]

⇒ [tex]S(0) = 25[/tex]

Initially, the acron is at 25 feet above the ground level. So t > 0, for the acron to fly on air.

The interval can be found as,

⇒ [tex]-16t^2 + 25 > 0[/tex]

⇒ [tex]-16t^2 > -25[/tex]

⇒ [tex]t^2 > \frac{25}{16}[/tex]

⇒ [tex]t > \sqrt{\frac{25}{16} }[/tex]

⇒ [tex]t > \frac{5}{4} or \frac{-5}{4}[/tex]

since t > 0, the interval is [tex]t > \frac{5}{4}[/tex]

Hence we can conclude that the interval of time, the acorn moving through the air is t > 5/4.

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Answer:

Step-by-step explanation:

The equation for a circle is

[tex](x-h)^2+(y-k)^2=r^2[/tex]

We have our h and k from the center as h = -1 and k = -3, and we also know the radius, which is 6. We also have an x/y coordinate as (-6, -6) and we want to know if that coordinate lies in, on, or outside of the circle. The way we will do that is plug everything into the circle equation and solve. If what we solve for is less than the radius, then the point is inside the circle; if what we solve for is equal to the radius, then the point is on the circle; if what we solve for is greater than the radius, then the point in outside the circle.  Here we go:

[tex](-6-(-1))^2+(-6-(-3))^2?36[/tex] .  There's a question mark there intentionally. The left side is the one we are solving for to see if it is less than, equal to, or greater than, 36.  Continuing,

[tex](-6+1)^2+(-6+3)^2? 36[/tex] and

[tex](-5)^2+(-3)^2?36[/tex] and

25 + 9 ? 36

34 ? 36

We know that 34 is less than 36, so the point lies INSIDE the circle.

Answer:

a

Step-by-step explanation:

because it is in the circle

Answer:

A

Step-by-step explanation: You are correct!

Answer:

a^(2m) + 2 a^m b^ (n-1) + b^ ( 2n -2)

Step-by-step explanation:

( a^m + b^(n-1) )( a^m + b^(n-1) )

FOIL

first: a^m a^m = a^ 2m

outer: a^m b^ n-1

inner a^m b^ n-1

last : b^ n-1  b^ n-1 = b^ ( 2n -2)

Add together

a^(2m) + 2 a^m b^ (n-1) + b^ ( 2n -2)

Answer:

8

please see the attached picture for full solution

hope it helps

Good luck on your assignment

The value of x in the given algebraic expression is 12

An algebraic expression is an expression that usually comprises integers, real numbers, variables, and arithmetic operations. The purpose of the given expression is to find the value of x.

Given that:

3(x - 1) - 2(x - 1) = 7

Open the brackets;

3x - 3 - 2x - 2 = 7

Collect like terms

3x - 2x - 3 - 2 = 7

x - 5 = 7

x = 7 + 5

x = 12

Therefore, the value of x in the given algebraic expression is 12

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Answer:

2500

Step-by-step explanation:

500*5

Answer:A.

Step-by-step explanation:

Because 3 + 2 is 5.

Answer:

u = fv/(v - f)

Step-by-step explanation:

1/f = 1/u + 1/v

1/u = 1/f - 1/v = v/fv - f/fv = (v-f)/fv

1/u = (v-f)/fv

u = fv/(v - f)

Answer:

Multiply the number of producers by $ 5,000.00

Question:

Members of a producer association

decided to donate $ 5,000.00 each to improve the production. Than

procedure allows know the total contribution?

A) Divide $ 5,000.00 between the

number of producers

B) Multiply the amount of producers for $ 5,000.00

C) Add the amount of producers plus $ 5,000.00

О

D) Subtract $ 5,000.00 from the amount of producers

Step-by-step explanation:

We are asked to find the total contribution

Each manufacture will contribute $5,000.00

We were not told the number of manufacturers that would be contributing the amount.

Total contribution = number of manufactures × $5000

The procedure that allows one to know the total contribution:

Multiply the number of producers by $ 5,000.00

Option has B stated 'amount' instead of 'number'. It may be a mistake

B) Multiply the amount of producers for $ 5,000.00

Answer:

0.65 c

Step-by-step explanation:

You can multiply $0.65 by $95 to get $61.75

Answer:

4/6 of the cake is left

Steps down below

Step-by-step explanation:

How i got the answer:

As we know that the question is asking how much, so and we also know that Susan ate 1/5 of 5/6 so the and for the equation will be 1/6. So 5/6 - 1/6 will give you the correct answer for this question.

Steps:

1: Subtract the numbers so 5/6 subtract 1/6 =4/6

Answer: 4/6

Hope this helps.

Answer:

2ab

Step-by-step explanation:

I am pretty sure this is adding polynomials.

This is not correct.

ab-bc+0

ab+bc-ca

0+0+ca

If you take each row at a time, you get.

ab-bc+0

ab+bc-ca

=

2ab+0-ca

0+0+ca

2ab

2ab is your answer

Answer:

Radius = 7.21 feet.

Height = 21.63 feet

- to the nearest hundredth.

Step-by-step explanation:

Let the radius be r feet, then the height will be 3r feet.

So the volume = 1,178.1 = 1/3 π r^2 h

1.178.1 = 1/3  π r^2 3r

1/3 π 3 r^3 = 1178.1

 π r^3 = 1178.1

r^3 = 1178.1/ π

r^3 =   375

r = 7.211 feet.

So the height = 3 * 7.211 ft

= 21.633 ft

Answer:

The probability is 1/3

Step-by-step explanation:

Here, we are interested in calculating the probability that the spinner will land on the yellow section.

Firstly, we need to calculate the total number of sections. That would be = 2 + 3 + 4 + 3 = 12 sections

Now, the probability that the spinner will land on the yellow section = number of yellow sections/total number of sections

There are four yellow sections

Thus, the probability of the spinner falling on a yellow section = 4/12 = 1/3

The question is incomplete:

Noah pays $25.20 for non perishable food items to give to the local homeless shelter the price includes a 5% sales of tax. what is the price before tax of the food items?

Answer:

$24

Step-by-step explanation:

From the information you have that the price of items is $25.20 and it includes a 5% tax. From this, you can write the following:

x+0.05x=25.20

Then, you can isolate x to find the price before tax:

1.05x=25.20

x=25.20/1.05

x= 24

According to this, the price before tax of the food items is $24.

Answer:

The probablility of getting a cat is 1/4 or 25%

The probability of getting a dog is 2/5 or 40%

Step-by-step explanation:

1/4 = .25 = 25%

2/5 = .4 = 40%

Answer:

its C

i just took the test

AM = CN serves as additional proof that the triangles AMD and CNB are comparable according to the HL theorem.

A triangle is said to be right-angled if one of its angles is exactly 90 degrees. The total of the other two angles is 90 degrees. Perpendicular and the triangle's base are the sides that make up the right angle. The longest of the three sides, the third side is known as the hypotenuse.

Given Two right-angle triangles whose hypotenuse is equal.

From the HL-Theorem:

According to the hypotenuse-leg (HL) theorem, a right triangle is congruent if each of its hypotenuses and legs is congruent with its corresponding hypotenuse and legs in another right triangle. The HL theorem proves that these triangles are congruent.

This will work with any two right triangles that have the hypotenuse and one of the legs in proportion, as our selections of right triangles and their legs were arbitrary. Thus, the HL Similarity Theorem has been demonstrated.

Therefore, The additional information to prove if Both triangle AMD and CNB are similar by the HL theorem is AM = CN.

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Answer:

B. 1.85%

Step-by-step explanation:

The APR is the annual interest rate that the bank charges. So, to calculate the monthly percentage rate, you have to divide the APR by 12 that is the number of months in a year:

APR= 22.2%

Monthly percentage rate= 22.2%/12= 1.85%

According to this, the answer is that the monthly percentage rate on the card is 1.85%.

Answer:

x = -2

Step-by-step explanation:

The line represented in the graph is x = -2.

We know that lines in the form x =   are vertical, and lines in the form y =   are horizontal.

From this, the vertical line that intersects (-2,0) is x = -2.

Answer:

(This is for the pizza question)The area of the box is 900 cm, so subtract 900 cm from the area of the circle which is (3.14)[times radius which is 12(half of 24) squared] [144*3.14] So the area of the circle is 452.16 which you get from the area formula of pi times radius squared.

Step-by-step explanation:

Find the area of the box first, then subtract it by the area of the circle. (please thank me for it)

Answer:

6 students are taking all three

20 students are taking none.

Step-by-step explanation:

Please check image attached.

From the total of 33 that are taking Arabic, 14 only take Arabic and 13 take Arabic and Bulgarian (b + d), so the students that take only Arabic and Chinese together is:

a = 33 - 14 - 13 = 6

From the total of 39 that are taking Bulgarian, 19 only take Bulgarian and 13 take Arabic and Bulgarian, so the students that take only Bulgarian and Chinese together is:

c = 39 - 19 - 13 = 7

Now, from the total of 40 that are taking Chinese, 21 only take Chinese, 6 take only Arabic and Chinese and 7 take only Bulgarian and Chinese, so the number of students that take all three languages is:

d = 40 - 21 - 6 - 7 = 6 students

The number of students that take any language is 14 + 19 + 21 + 6 + 7 + 13 = 80 students, so 100 - 80 = 20 students take none of the three languages

Answer:

m = 9

c = -4

Step-by-step explanation:

The formula for a line is y = mx+c, where m is the gradient and c is the intercept.

here,

m = 9

c = -4

Hope this helps

good Luck

Answer:

Step-by-step explanation:

y = mx + c

y = 9x - 4

Slope m = 9

Y-intercept = -4

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

Explanation:

Point M is currently located at (-3, -5). Note the y coordinate is y = -5. The vertical distance from this y coordinate to y = -1 is 4 units. If we move another 4 units up from y = -1, we end up at y = 3.

What does this mean? It means that reflecting point M over the line y = -1 has it end up on (-3, 3), which I'll call point N. See the diagram below.

---------

Next we reflect over the line x = -2. The horizontal distance from x = -3 to x = -2 is one unit. So we move another unit to the right to end up at x = -1.

Therefore, reflecting (-3,3) over the line x = -2 will have the point land on (-1, 3)

---------

When we reflect over the line y = -1 first and then the line x = -2 second, we will have the point (-3, -5) move to (-3,3) and then to (-1,3) in that order.

Check out the diagram below.

Answer: 80,000,000

76 million in numbers is 76,000,000

this in 1 significant figure is 80,000,000

Answer:

-8u+2u+12u-19u-2u=15

-6u+12u-19u-2u=15

6u-19u-2u=15

-13u-2u=15

-15u^2=15

-15u^2÷ 15=15÷15

-u=1

u=-1

that's answer is u=-1

Answer:

C.$35

Step-by-step explanation:

Commission = 7% of 500

= 0.07 * 500 = $35