Mathematics High School

James wants to prove the Base Angles Theorem. His two-column proof is shown below. Fill in the correct statements and reasons to complete James's proof.
R
Given: PQ-OR SQ bisects ZPOR
Prove: Za ZR
Reasons
Statements
PO a QR
1. Given
SQ bisects ZPOR
2
2. Given
3
ZPOS a ZROS
e
3
4. 05 ags
4.
e
5
APQS AROS
5.
e
6. ZPa ZR
< Previous

Answers

Answer 1

The two column proof is presented as follows;

Statement [tex]{}[/tex] Reasons

1. [tex]\overline{PQ}[/tex] ≅ [tex]\overline{QR}[/tex] [tex]{}[/tex] 1. Given

2. [tex]\overline{SQ}[/tex] bisects ∠PQR 2. Given

3. ∠PQS ≅ ∠RQS [tex]{}[/tex] 3. Definition of angle bisector

4. [tex]\overline{QS}[/tex] ≅ [tex]\overline{QS}[/tex] [tex]{}[/tex] 4. Reflexive property of congruency

5. ΔPQS ≅ ΔRQS [tex]{}[/tex] 5. SAS rule of congruency

6. ∠P ≅ ∠R [tex]{}[/tex] 6. CPCTC

Reasons:

3. An angle bisector is defined as a line that divides an angle in two.

4. Reflexive property is the property that a side is congruent to itself.

5. SAS: Side-Angle-Side rule of congruency states that, when two sides an

an included angle are congruent to two sides and an included angle in

another triangle, the two triangles are congruent.

6. CPCTC; Congruent Parts of Congruent Triangles are Congruent

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Related Questions

The radius of the circle shown to the right is 3 inches. What is the area of this circle, in square inches?

(A) 3π (B)9π (C) 12π (D) 36π

Answers

The formula for the area of a circle is pi*r^2, where r is the radius of the circle. Since the radius is 3 inches, the area is pi*(3)^2 or 9*pi square inches.

Hope this helps!

other words for cubed in math exponents kids

Answers

Answer:

A cube is a three dimensional shape that features all right angles and a height, width and depth that are all equal. A cube has 6 square faces. A cube has 8 points (vertices). A cube has 12 edges.

solid, six-sided solid, cubicle, hexahedron, die, third power, regular hexahedron, block, dice, cuboid and Rubiks.

Step-by-step explanation:

please help me find the values of x and y

Answers

Answer: A = X + Y; B = X xor Y. The task is to make X as minimum as possible.

Step-by-step explanation:

Two square room have a total floor area of 89. One room is 3m longer each way than the other. Find the dimension of the two room

Answers

Step-by-step explanation:

here is your answer hope you will enjoy and mark me as brainlist

thank you

How do you do this, because I really do not know how to do this and plz explain how to do this

Answers

Answer:

Step-by-step explanation:

the leading degree(the biggest power in the function) x^4 and the leading coefficient is the number next to the highest power which is -5

so the answer should be

-5,4,x -> infinity, f(x) -> -infinity ; x -> -infinity, f(x) -> -infinity

when you get asked questions like this look for the biggest power and the number next to it. if the power is even x will always be positive if its odd x can be either positive or negative it depends on restrictions.

for instance in this example -5 * x^4 will always give you negative because -5 will multiply with a positive number x (the power is even so its always positive)

the first shower head was used 20 gallons of water in 5 minutes. How many gallons of water will we use in one minute?

Answers

Answer:

Step-by-step explanation:

because since it says 5 minutes

and. 5×4=20 so 4 gallons of water in 1 minute

algebra 2 please help

Answers

Answer:

Step-by-step explanation:

(f+g)(x)=-2x+4+x^2-3x+5

so answe = x^2-5x+9

The function f is given by
f(x) = 2x^3– 4
(a) Show that f^-1(50) = 3

Answers

Answer:

hope it helps you.....

and I m feeling bad for my handwriting

The proof of the value of the inverse equation f^-1(50) = 3 is below

How to prove the value of the inverse equation

From the question, we have the following parameters that can be used in our computation:

f(x) = 2x^3 - 4

To show that f^-1(50) = 3, we simply show that

f(3) = 50

substitute the known values in the above equation, so, we have the following representation

f(3) = 2 * 3^3 - 4

Evaluate

f(3) = 50

Hence, the proof of the value of the inverse equation is done

Answers

Answer:

399 minutes a month

Step-by-step explanation:

As I understand the question the answer would, in other words, be how many minutes you can long-distance call with the economy plan for under $30.

The unit ratio is 5 cents per minute, which equates to 20 minutes worth of call time for one dollar (100/5).

The economy plan is $20 cheaper than the deluxe plan. $20 spent on long-distance calling gets you 400 mintues, but the question asks for an integer that would still leave remaining money.

Therefore the answer is 399 minutes of long-distance calling, which would leave five unspent cents.

Sarah took a 20? Test and got 17 problems correct what percent did she get

Answers

Answer:

85%

Step-by-step explanation:

Divide the number of problems gotten right by the total number of problems.

Sarah got an 85%.

Use this method.

part/whole = %/100

So.

17/20 = x/100

Cross multiply.

17•100=1700

20•x=20x

Divide by 20

1700÷20=85

Therefore the answer is 85%

0.1 x 0.01 x 0.001
ans ???

Answers

>> Answer

________

[tex] \: [/tex]

[tex]0.1 \times 0.01 \times 0.001 = ...[/tex]

[tex] = \frac{1}{10} \times \frac{1}{100} \times \frac{1}{1.000} [/tex]

[tex] = \frac{1}{10 \times 100 \times 1.000} [/tex]

[tex] = \bold{ \frac{1}{1.000.000}} [/tex]

Answer:

[tex]0.1 \times 0.01 \times 0.001 = 0.000001 \\ \\ \\ \\ i \: hope \: it \: is \: helpfull[/tex]

-15 < x - 8 < -4

SOLVE COMPUND INEQUALITY

Answers

[tex] \sf \: -15 < x - 8 < -4 [/tex]

Add 8 to all parts

[tex]\sf \longmapsto−15+8<x−8+8<−4+8[/tex]

[tex]\sf \longmapsto−7<x<4[/tex]

[tex] \boxed{\sf−7<x<4 }[/tex]

Graph attached

Find the value if f(x) = -3x - 8 and g(x) = x2 + 3. Find the value g(-5) =

Answers

Step-by-step explanation:

g(x) = x² + 3

g(-5) = (-5)² + 3

g(-5) = 25 + 3

g(-5) = 28

if there was 200 kids= 100% and 43 of them left what is the percent

Answers

Answer:

It would be 86 as 43% of 200 is 86

Step-by-step explanation:

Can someone help me with this? Please and Thank You.

Answers

Answer:

4.9 hours

Step-by-step explanation:

Divide 1,625 by 2.5 to identify what number is being multiplied by 2.5.

Ans: 650

Divide 3,185 by 650 to find the time for 3,185 gallons of water.

Ans: 4.9

4.9 hours is your answer.

PLEASE HELP!!!!!‼️‼️ ILL MARK BRAINLIIST WHAT EVER IT IS CALLED PLEASE!!!!
1. What theorem can be used to find a missing length in a right triangle?

A. Base angle theorem
B. Pythagorean theorem
C. Midsegment theorem
D. Triangle proportionality theorem

2. Find the value of X in the figure below if LP is parallel to MO

A. 10.7 units
B. 3 units
C. 5.5 units
D. 6 units

Answers

Answer:

1.b

2.d

Sana makatulong

1. Optiond D is correct, Triangle proportionality theorem can be used to find a missing length in a right triangle.

2. Option D is correct, the value of x is 6.

1. The Triangle proportionality theorem can be used to find a missing length in a right triangle.

The triangle proportionality theorem states that if a line parallel to one side of a triangle intersects the other two sides at different points, then it divides the remaining two sides proportionally.

2. By triangle proportionality theorem:

NO/OP=NM/x

20/8=15/x

Simplify the LHS:

5/2=16/x

Apply cross multiplication:

5x=15×2

5x=30

x=30/5

x=6

Hence, the value of x is 6.

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Three of the angles of a quadrilateral are 53degrees, 127degrees and 72degrees

Answers

Answer:

108

Step-by-step explanation:

The size of the fourth angel = 360 - ( 53 + 127 + 72 ) = 108

can someone please double check this for me & help me correct it if there are any mistakes!

Answers

Answer:

C) Your answer is correct.

Step-by-step explanation:

Anne is making bags of candy to give her seven friends she is putting 2/3 of a pound of windy in its bag how many pounds of candy will she need

Answers

14/3 pounds or about 4.66667 pounds

Please help 12 points

Answers

Answer:

SAS because they stand for side angle side

Solve 47 x 104 = ________. Use how the placement of the decimal point changes when multiplied by a power of ten to help you. (1 point)
A. 470
B. 4,700
C. 47,000
D. 470,000

Answers

Solution:

[tex]47 \times {10}^{4} \\ = 47 \times 10000 \\ = 470000[/tex]

Answer:

D. 470000

Hope it helps.

Do comment if you have any query.

Step-by-step explanation:

[tex]47 \times 10 {}^{4} \\ \\ = 47 \times 10000 \\ \\ = 470000[/tex]

TRUE OR FALSE angle measures
will give brainly <3

Answers

1) false 2) true 3) false

All are true

TrueTrue True

As BC=KL

Their adjacent angles will be same

[tex]\\ \sf\longmapsto B=<L[/tex]

Already denoted in diagrams

By SSS similarity triangles are congruent

Question 6 of 17 Which expression uses the associative property to make it easier to evaluate 14(3 - 3)? O A. 14(1 : 3) B. (14 • ;)) O C. 1431 O D. D. (1. 114 3 )

Answers

Answer:

Step-by-step explanation:

What is the missing step in solving the inequality 5 – 8x < 2x + 3?

Add 2x to both sides of the inequality.
Subtract 8x from both sides of the inequality.
Subtract 2x from both sides of the inequality.
Add 8x to both sides of the inequality.

Answers

Answer:

Add 8x to both sides of the inequality.

Step-by-step explanation:

12. What value of a makes the equation true?
7a + 6 = -5(a -6)
A.-3
B. 3
C.0
D.2

Answers

Answer:

Step-by-step explanation:

7a + 6 = -5(a -6)

<=> 7a + 6 = - 5a + 30

<=> 7a + 5a = 30 - 6

<=> 12a = 24

<=> a = 2

=> Answer is D

Hope this helps!

Answer:

a=2

Step-by-step explanation:

1. distribute the -5 to (a-6): 7a + 6 = -5a + 30

2. add 5a to both sides, and subtract 6 on both sides: 12a = 24

3. divide by 12: a = 2

finish the porblem-
Enter the correct equation in the box.

Answers

Answer:

y = -3/4 x

Step-by-step explanation:

Divide y by − 3/4 by multiplying by by the reciprocal of − 3/4 therefore x= -4y/3

Which equation goes through the points (-3,5) and (-1,7)?

Answers

Answer:

y=x+8

Step-by-step explanation:

slope = y2-y1/x2-x1

slope = 7-5/-1+3

slope = 2/2

slope = 1

y=x+b

7=1(-1)+b

7=-1+b

b=8

y=x+8

Please help, thank you (NO LINKS!)
Patsy has cheerleading practice every fourth day. She wants to be in the school play, but they have practice every sixth day. If both start on September 5th, what would be the next date she has to choose between cheerleading and play practice? Show your work and explain.

Answers

Answer:

the first time 4 and 6 intersent is 24

so 24 days after september 5th

september 29th

Hope This Helps!!!

Find the value of x.

Answers

X = 88°

based on the isosceles triangle, you can solve it.

A customer buy's 5 books at a bookstore for a total cost of 65$. If all the books cost the same amount, how much does 1 book cost?.

Answers

Answer: each book costs $13

Step-by-step explanation:

dividing 65 by 5 gets the answer

Answer:

13$ per book

Step-by-step explanation:

Divide 65/5 and it will give you the unit rate

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