1. Write a paragraph proof for the following conjecture.
Given: QS bisects ∠PQR.
m∠PQS = 45°
.
Prove: []PQR is a right triangle.
10 points, help asap

Answers

Answer 1

QS bisects the ^PQR^ :

So -----¢ PQS = SQR = 45°

_________________________________

PQR = PQS + SQR = 45°+ 45° = 90 °

Q^ = 90° ----¢ So the PQR triangle is a

right triangle.


Related Questions

A one-year membership to a gym costs $725. The registration fee is $125, and the remaining amount is paid monthly. Define a variable. Then write and solve an equation to find how much new members pay each month NEEDS WORK please help i'm in the middle of a quiz nd i'm so gonna fail

Answers

Given :

A one-year membership to a gym costs $725.

The registration fee is $125.

To Find :

How much new members pay each month.

Solution :

Remaining fee = Total fee - Registration fee

R = $( 725 - 125 )

R = $600

Amount of fee paid monthly is :

[tex]C=\dfrac{R}{12}\\\\C = \dfrac{600}{12}\\\\C = \$50[/tex]

Therefore, monthly fee is $50.

Hence, this is the required solution.

Complete the third step to solve the equation.

3 + 2x = -6x + 4

1. Isolate the variable term on one side: 3 + 8x = 4

2. Isolate the constant on the other side: 8x = 1

3. Solve for x: x =

Answers

Answer:

x=1/8

could you also please mark me as brainliest?

Answer:

1/8

Step-by-step explanation:

i just got it right on the test

Nina plays catcher on her softball team. She wants to design a better mitt to catch the ball. She is just beginning the design process. Which step should she do first?

Choose the correct answer.


build a prototype

test her prototype

tell her team what she learns

make conclusions about solutions

Answers

D. She should make conclusions about solutions because you have to identify the problem and find your answers (step 1 of of design process) and you couldn’t do the others without it

what is a 60% out of 100

Answers

━━━━━━━☆☆━━━━━━━

▹ Answer

60% of 100 is 60

▹ Step-by-Step Explanation

60% of 100:

- You can write this as a fraction or decimal. In this case, both of them will work just fine but we can go with fractions.

60% is written as 6/10 as a fraction or 0.6 as a decimal.

[tex]\frac{6}{10} * 100\\ =\frac{600}{10} \\= 60[/tex]

Hope this helps!

CloutAnswers ❁

━━━━━━━☆☆━━━━━━━

Answer:

60%out of 100 is 40%

Step-by-step explanation:

100-60

What value of x makes this equation true?
2x − 9 −2 = 3x + 3 + 6x


A. 3

B. -9

C. −1

D. −2

Answers

Answer: x=-2, or d

Step-by-step explanation: brainlest please

Carrie needs 4 1/2 cups of flour for a recipe. She can only find a 1/4 cup measuring cup. How many times will Carrie need to fill this measuring cup to have enough flour for the recipe?

Answers

Answer:

Carrie will need to fill the measuring cup 18 times to have enough flour for the recipe.

Step-by-step explanation:

There are four 1/4's in one cup and two 1/4's in a 1/2 cup. So 4 times 4 equals 16 and 2 times 1 is 2. Add those together and you get 18 times. Sorry if it was confusing.

factorise 4xy²(x-1)(x+2) ​

Answers

Answer:

4x^3y^2+4x^2y^2- 8xy^2

Step-by-step explanation:

ANSWER ASAP PLEASE !!!!!!!!!
Using the Distributive Property, find the product of the expression 7(22) and then simplify.
7(20) + 7(2) = 155
7(20) − 7(2) = 154
7(20) + 7(2) = 154
7(20 − 2) = 154

Answers

Answer: 7(20) + 7(2) = 154

Write an equation, and solve

An electrician has a 20-ft wire. He needs to cut the wire so that one piece is 4 ft shorter than the other. What will be the length of each piece?​

Answers

Answer:

12, 8

Step-by-step explanation:

So we have the following things we need to check for:

1. Both wires add up to 20 ft.

2. One wire is 4 ft longer than the other.

In order to do this we can create the following two equations (I'll call the wires a and b)

[tex]a + b = 20\\a = b - 4[/tex]

Next we substitute equation two into equation one and solve for b.

[tex]a + b = 20\\ (b - 4) + b = 20\\ 2b - 4 = 20\\2b - 4 + 4 = 20 + 4\\2b = 24[/tex]

[tex]\frac{2b}{2} = \frac{24}{2}\\b = 12[/tex]

And lastly we solve equation 2 using the new value of b.

[tex]a = b - 4 = 12 - 4 = 8[/tex]

So the wires are 12 and 8 feet.

1. Analyze the sequence below.
ΟΛΟ

Answers

Answer:

what sequence

Step-by-step explanation:

Find values for p and q so that x = 4 is the only solution to the equation.

px - 8 = 5x + 9

Answers

Answer:

Step-by-step explanation:

Given the equation px - 8 = 5x + 9, we can only find the value of p when x = 4.

To get p, we will substitute x = 4 into the expression as shown:

p(4)-8 = 5(4)+9

4p - 8 = 20+9

4p - 8 = 29

4p = 29+8

4p = 37

p = 37/4

p = 9 1/4

Hence the value of p so that x = 4 is the only solution is 9 1/4

find the principal when the amount is Rs.3600 and interest is Rs.200

Answers

Step-by-step explanation:

Hey there!

Amount = Rs. 3600

Interest = Rs. 200

Principle = Amount - interest

= 3600 - 200

= 3400

Therefore, the principle is Rs. 3400.

Hope it helps..

Answer:

P=3400

Step-by-step explanation:

SI=A-P

200=3600-P

P=3400

کی خا ر کیا - وکی

English please

Answers

Answer:Fank yew mate tea my yellow teeth

Step-by-step explanation:tea tea tea tea tea tea tea tea tea teateatea tea

Why do people eat green beans?

Answers

Answer:

to grow andeat healthy

Step-by-step explanation:

to be healthy and be stronger since it’s good for u

On Monday, your bank account balance was -$12.95. Because you didn't realize this, you wrote a check for
$30.93 for groceries.
What is the new balance in your checking account?

Answers

Answer:

Your new balance in your checking account would be -$43.88.

Step-by-step explanation:

You can solve this by starting with -$12.95 and subtracting $30.93. You do this because you wrote a check for $30.93 and you didn't have the money, so  your balance in your banking account would still be in the negatives.

Answer:

$-43.88

Step-by-step explanation:

You start with a balance of:

[tex]-12.95[/tex]

You then wrote a check, meaning money has been spent, so we will have to subtract the check total from your bank account balance:

[tex]-12.95-30.93[/tex]

Solve:

[tex]-43.88[/tex]

Aylor bought 6 tickets to a movie. The price of each ticket was the same. After he bought the tickets, his account balance showed a change of −$68.04. What would have been the change to Taylor's account balance had he only bought 1 ticket to the movie? (5 points)

Answers

Answer:

-$11.34

Step-by-step explanation:

Cost of 6 tickets = $68.04

Aylor's account balance showed a change of −$68.04

Cost of 1 tickets = cost of 6 tickets / 6

= $68.04 / 6

= $11.34

change to Taylor's account balance had he only bought 1 ticket to the movie will be -$11.34

So far, Diane has burned 362.6 calories. She wants to burn a total of 400 calories. How many more calories must Diane burn?

Answers

Answer:

37.4

Step-by-step explanation:

This is because 400-362.6 is 37.4, because we want to find out how many more calories she must still burn

During a cat food sale, a pet store sells 220 cans of cat food. At the end of the
sale, the store has 80% of the original number of cans of cat food. How many
cans of cat food are left?

Answers

Answer:

44 cans

Step-by-step explanation:

To find 80%, just multiply 220 by 0.8

220 x 0.8 = 176.

Now, take 220 and subtract 176.

220-176 = 44

44 cans are left over. Hope this helps.

On friday taylor babysat for 4 hours and was paid $60. on saturday she babysat for 2 hours and was paid $30. what is the rate taylor charges to babysit

Answers

Answer:

15 dollars per hour

Step-by-step explanation:

She is constantly charging 15 per hour.

Answer:

She gets paid 15 dollars an hour.

Step-by-step explanation:

60 divided by 4 would be 15 and also 30 divided by 2 is 15

Monica works 5 times more than Joe does. Joe works 10 hours a week. How much does Monica work?

Answers

Answer:

50 hours a week

Step-by-step explanation:

10 times 5

Answer:

50

Step-by-step explanation:

Find the vertex of the function given below


[tex]y = {x}^{2} - 6x + 1[/tex]

Answers

Answer:

3,-10...........................

Answer:

vertex = (3, - 8 )

Step-by-step explanation:

Given a parabola in standard form

y = ax² + bx + c ( a ≠ 0 )

Then the x- coordinate of the vertex is

[tex]x_{vertex}[/tex] = - [tex]\frac{b}{2a}[/tex]

y = x² - 6x + 1 ← is in standard form

with a = 1 and b = - 6 , thus

[tex]x_{vertex}[/tex] = - [tex]\frac{-6}{2}[/tex] = 3

Substitute x = 3 into the function for y

y = 3² - 6(3) + 1 = 9 - 18 + 1 = - 8

vertex = (3, - 8 )

If the measure of one interior angle of a regular polygon is 156° , how many sides does it have?

Answers

Answer:

The polygon has 15 sides

Step-by-step explanation:

Angles in a Regular Polygon

A polygon with n sides has a total sum of internal angles equal to 180°(n-2). This means that in a regular polygon, each angle measures

[tex]\displaystyle \frac{180(n-2)}{n}[/tex]

The regular polygon's interior angle is 156°, thus

[tex]\displaystyle \frac{180(n-2)}{n}=156[/tex]

Multiply by n:

[tex]180(n-2)=156n[/tex]

Operate:

[tex]180n-360=156n[/tex]

Reducing:

[tex]24n=360[/tex]

Solving:

[tex]n=15[/tex]

The polygon has 15 sides

which angle number is adjacent to angle to DHG

Answers

Answer:

Angle 8

Step-by-step explanation:

The answer is angle 8 because the meaning of adjacent is right next to each other, so angle 8 and angle 7 are relight next to each other. Angle 8 is your answer.

which choice is equivalent to sqroot-125 PLEASE HELP

Answers

Answer:

C. [tex] 5i \sqrt{5} [/tex]

Step-by-step explanation:

[tex] \sqrt{ - 125} \\ \\ = \sqrt{ - 1 \times 125} \\ \\ = \sqrt{ - 1} \times \sqrt{125} \\ \\ = i \times 5 \sqrt{5} \\ \\ \huge \red{ \boxed{= 5i \sqrt{5} }}[/tex]

the answer is c!!!! :)))

ASPPPPPP!!!
Help

Select the graph of the function f(x) 1/2x^2. Then find the value of f (x) when x=-4

Answers

The answer should be b
The other one should be 8

The value of the surface area (in square centimeters) of the cone is equal to the value of the volume (in cubic centimeters) of the cone. The formula for the surface area S of a right cone is S=πr2+πrl, where r is the radius of the base and l is the slant height. Find the height of the cone.

Answers

Answer:361.28

Step-by-step explanation:

This problem is all about just plugging in the numbers.

(I will be using the letters Pi to represent the actual number)

(Pi+(5*2))+(Pi*5*25)

10Pi+105Pi

115Pi

(Around) 361.28

- 5x-10=2-(x+4)
[tex]- 5x-10=2-(x+4)[/tex]


Answers

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer = x=-2

if 6+x=13, then find the value of 8x-31.

Answers

the value of 8x-31 is 25

Answer:

The answer is 25.

Step-by-step explanation:

First, you solve 6+x=13. Minus 6 from each side. You get x=7.

Next, plug x into the equation 8x-31. You get 8(7)-31. Solve 56-31, which you then get 25.

In the diagram, m angle3=120^ and m angle12=80^. Which angle measures are correct? Check all that apply. m angle1=60^ m angle13=80^ m angle6=80^ m angle5=60^ m angle10=120^ ° m angle 14=100^​

Answers

Answer:

There you go, this was actually fun to do!!

Step-by-step explanation:

Answer:

M<1=60

M<13=80

M<5=60

M<14=100

Step-by-step explanation:

Did the assignment

A soccer player kicks a ball 6.5 meters. How much time is needed for the ball to travel this distance if its velocity is 22 meters per second, south?

Answers

Answer:

0.3 meters per second

Step-by-step explanation:

Divide 6.5 by 22.

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