Two column proof that can include CPCTC, HL, or any angle postulates

Two Column Proof That Can Include CPCTC, HL, Or Any Angle Postulates

Answers

Answer 1

Step-by-step explanation:

Given:∠3 ≅ ∠4BX ≅ AYBW ≅ AZProve: ΔWTZ is isoscelesSolution:

m ∠WBX = 180° - m ∠3

m ∠ZAY = 180° - m ∠4

∠WBX ≅ ∠ZAY as ∠3 ≅ ∠4 and 180° - m ∠3 = 180° - m ∠4BX ≅ AY, givenBW ≅ AZ, given

ΔWBX ≅ ΔZAY as per SAS postulate

∠W ≅ ∠Z as corresponding angles of congruent triangles

As per above the triangle WTZ is isosceles


Related Questions

Parallel lines r and s are cut by two transversals, parallel lines t and u. Lines r and s are crossed by lines t and u to form 16 angles. Clockwise from top left, at the intersection of r and t, the angles are 1, 2, 3, 4; at the intersection of s and t, 5, 6, 7, 8; at the intersection of u and s, 9, 10, 11, 12; at the intersection of u and r, 13, 14, 15, 16. Which angles are alternate interior angles with angle 3? Angle5 and Angle13 Angle7 and Angle15 Angle6 and Angle16 Angle8 and Angle14 Mark this an

Answers

Answer:

5 and 13

Step-by-step explanation:

I got it right on edge

Answer:

5 and 13, got in right in edge 2020

Step-by-step explanation:

answeerrrrrrrr pleaseeeee C:

Answers

Answer:

140 feet

Step-by-step explanation:

3 seconds times 20 = 1 minute

so you have to do 7 feet times 20 to get 140

What are multiplication facts that equal 9

Answers

Answer:

3*3 4.5*2 9*1

Step-by-step explanation:

Answer:

1×9,2×4.5,3×3,9×1

Step-by-step explanation:

I hope this helps in any way.

Have a great day!

ABCDE is a
regular pentagon
find the angles of ADC?​

Answers

Answer:

Since this regular polygon has 5 vertices (implied from the ABCDE), it's a regular pentagon. (This means an equilateral, equiangular pentagon.)  So, 360 deg./5 =72 deg., and 180 - 72 = 108).

Step-by-step explanation:

PLZ HELP ME I BEG YOU !!!!!!!!!!!!!!

Answers

3x200= 600
1000-600=400
400 divided by 5 = 80
answer is 80 adults

can u mark me brainliest?

pls answer my question​

Answers

Answer:

x = 23

Step-by-step explanation:

Exterior angles equals the sum of opposite interior angles.

2x+  3 + 51 = 100

Combine like terms.

2x + 54 = 100   {Subtract 54 from both sides}

        2x = 100 - 54

       2x = 46    {Divide both sides by 2}

       x = 46/2

x = 23

You are canning 40 cups of applesauce. You have 20 glass jars, each of which will hold 134 cups of applesauce. Choose the correct explanation(s) that explain why you do not have enough jars.


You do not have enough jars because 20 jars will only hold 35 cups of applesauce.

You do not have enough jars because you have enough applesauce left to completely fill 2 more jars, and almost fill a third jar.

You do not have enough jars because you need a total of 40×134=70 jars.

You do not have enough jars because the 20 jars would need to hold 2 cups each, but each holds 14-cup less than that.

Answers

Answer:

B

Step-by-step explanation:

took the test

For question 15-16, find the value of x that would prove y || z. State the conserve used to support your answer.

Answers

Answer:

There is not enough information, but in any case, rephrase.

A store had 50 bottles of olive oil. Each week, 40% of the olive oil bottles were sold and 20 new bottles arrived in shipments. Which recursive function best represents the number of bottles in the store, given that f(0) = 50?

Answers

Answer:

f(n) = f(n-1)*.6 + 20

Step-by-step explanation:

f(0) = 50

f(n) = f(n-1)*.6 + 20

In fact, since f(0) = 50, f(n) = 50.

I NEED HELP ,PLEASEEEE!!!!!

Shonda goes to a restaurant with no more than $15 to spend. She buys a burger that costs $10.50 and one other item. Write an equation to express how much money Shonda spent at the restaurant.

Answers

Answer:

she spent $10.50 sense she didnt buy anything she has  $4.50 left

Step-by-step explanation:

An elevator started at the first floor and went up 18 floors. It then came down 11 floors and went back up 16. At what floor was it stopped?

Answers

Answer:

24th

Step-by-step explanation:

1+18=19

19-11=8

8+16=24

Kendra is buying a Nintendo Switch with a price tag of $300. The sales tax rate where Kendra is purchasing the
Switch is 9.5%. How much will Kendra pay altogether for the Switch?

Answers

Answer: So for the 9.5% percent I'm not sure if you mean by 9.5% off the price or more for the price so Ill just do both

If you subtract $300 from 9.5% you get 271.5 US$

But if you add $300 to 9.5% you get 328.5 US$

A triangle has interior measures of 20° and 90°. What is the measure of the third angle?

Answers

Angles in a triangle sum to 180 degrees

180 - 90 - 20
= 70 degrees

A researcher claims that the variation in the salaries of elementary school teachers is greater than the variation in the salaries of secondary school teachers (the claim). A random sample of 30 elementary school teachers has a variance of $ 8324, and a random sample of 30 secondary school teachers has a variance of $2862. At α= 0.05, can the researcher conclude that the variation in the elementary school teachers' Salaries is greater than the variation in the secondary teachers' salaries? Use the P-value method.
Assume that all variables are normally distributed.

a. State the hypotheses and identify the claim.
b. Find the critical value.
c. Compute the test value.
d. Make the decision.
e. Summarize the results.

Answers

Answer:

a

The null hypothesis is  [tex]H_o : \sigma^2_1 = \sigma^2 _2[/tex]

The alternative hypothesis is [tex]H_a : \sigma_1 ^2 > \sigma^2_2[/tex]

b

[tex]F_{critical} = 1.8608[/tex]

c

[tex]F = 2.9085[/tex]

d

    The decision rule is  

Reject the null hypothesis

e

There is sufficient evidence to support the researchers claim

Step-by-step explanation:

From the question we are told that

 The first sample size is  [tex]n_1 = 30[/tex]

 The sample variance for elementary school is  [tex]s^2_1 = 8324[/tex]

 The second sample size is  [tex]n_2 = 30[/tex]

  The sample variance for the secondary school is  [tex]s^2_2 = 2862[/tex]

   The significance level is  [tex]\alpha = 0.05[/tex]

The null hypothesis is  [tex]H_o : \sigma^2_1 = \sigma^2 _2[/tex]

The alternative hypothesis is [tex]H_a : \sigma_1 ^2 > \sigma^2_2[/tex]

Generally from the F statistics table  the critical value of [tex]\alpha = 0.05[/tex] at first and  second degree of freedom [tex]df_1 = n_1 - 1 = 30 - 1 = 29[/tex] and  [tex]df_2 = n_2 - 1 = 30 - 1 = 29[/tex] is  

         [tex]F_{critical} = 1.8608[/tex]

Generally the test statistics is mathematically represented as

       [tex]F = \frac{s_1^2 }{s_2^2}[/tex]

=>   [tex]F = \frac{8324 }{2862}[/tex]

=>   [tex]F = 2.9085[/tex]

Generally from the value obtained we see that  [tex]F > F_{critical }[/tex] Hence

   The decision rule is  

Reject the null hypothesis

    The conclusion is  

  There is sufficient evidence to support the researchers claim

   

I need help with this please

Answers

To find slope, pick any 2 points and use formula: (y2-y1)/(x2-x1)
2 points on line: (4,0), (0,-2)
(-2-0)/(0-4) = -2/-4 = 1/2
a) the slope is 1/2

Y = 1/2x + b
0 = 1/2(4) + b
0 = 2 + b, b = -2
b) -2 is the y intercept

Put the equation together
c) y = 1/2x - 2

Find the amount of interest to be paid.
Principal: $780
Annual Rate of Interest: 12 1/2%
Time: 6 months

Use the formula: i = prt (principal, rate, time)

Answers

Answer:

P = 780

R = 12 1/2%

T = 6

780 x 12 1/2% x 6 = $2808.005

can anyone answer number 2? Thank you

Answers

ANSWER:

2570000

Step-by-step explanation:

0.003 * 7

0.021 + 1

1.021

2,520,000 * 1.021

2572920

rounds to

2570000

he first five multiples for the numbers 4 and 6 are shown below.

Multiples of 4: 4, 8, 12, 16, 20, . . .
Multiples of 6: 6, 12, 18, 24, 30, . . .

What is the least common multiple of 4 and 6?
2
4
12
24

Answers

Answer:

12

Step-by-step explanation:

Answer: 12

Step-by-step explanation:

PLEASE HELP!
Find x - y less than 0.
A. - y - x
B. x - y
C. - x + y

Answers

the answer is c) - x + y

Part A and Part B for Max's car together cost $1,693 dollars, Part A cost $58 dollars
more than twice what Part B cost. How much did each part cost?

Answers

Answer:

  Part A:   1148

  Part B:   545

Step-by-step explanation:

  Part A:   2x + 58

  Part B:   x

  2x + 58 + x = 1693

        3x + 58 = 1693

                3x = 1635

                  x = 545

  Part A:   2x + 58  =  2(545) + 58 = 1148

  Part B:   x = 545

HELLLPPPP PLEASSSSEEE &&& THANK UUUU

Answers

Answer:

y = -1/2x + 1

General Formulas and Concepts:

Algebra I

Slope-Intercept Form: y = mx + b

m - slope b - y-intercept

Step-by-step explanation:

Step 1: Define variables

Slope m = -1/2

y-intercept b = 1

Step 2: Write linear function

y = -1/2x + 1

rate of change of 15

Answers

Answer:A General Note: Rate of Change

The average rate of change between two input values is the total change of the function values (output values) divided by the change in the input values.

Step-by-step explanation:

10 kg of potatoes cost $4.50. How much will 50 kg of potatoes cost at this rate?

Answers

Answer:

$22.5

Step-by-step explanation:

10 kg=$4.50

50kg = x

(do cross multiplication)

10x =225

x=$22.5

3600
in standard
form

Answers

Answer:

3.6 x 10^3

Step-by-step explanation:

a vase costs $2 bridget has some money if she gets $4.45 more she can buy 5 vases how much money does she have

Answers

Answer:

Bridget has $5.55.

Step-by-step explanation:

First let's find how much money Bridget needs to buy 5 vases. To do this, multiply the cost per vase by the amount of vases she wants to buy:

2 * 5 = 10

It would cost $10 to buy 5 vases.

Bridget needs $4.45 in order to buy 5 vases. So, to find how much money she already has, subtract the amount of money she needs from the total cost of the 5 vases:

10 - 4.45 = 5.55

Bridget has $5.55.

Answer:

$ 5.55

Step-by-step explanation:

Find the price of 5 vases

Cost of 5 vases = 5 * 2 = $ 10

She needs $4.45 to buy 5 vases. If we subtract this 4.45 from $10, the result will be the money she has already with her

Money Bridget has = 10 - 4.45

                               = $ 5.55

Help me out in this question please

Answers

it’s 20 , hope that helps !
Answer:

20

Step-by-step explanation:

There are two ways to solve this (both will end up with the same answer):

1st way:

You can find 4/9 of 36 to find how many displays the class explored so far. You can write it as 4/9 x 36, which is equal to 16. So, the class explored 16 displays so far. All you need to do is subtract 16 from 36 to find how many displays the class needs to explore, which can be written as 36-16, and is equal to 20.

Final answer: 20

2nd way:

You can do 1 minus 4/9 to find the left over fraction of the displays that the class needs to explore, which is equal to 5/9. Then, you need to find 5/9 of 36 to find how many displays are left for the class to explore. You can write it as 5/9 x 36, which is equal to 20.

Final answer: 20

Hope you understand and that this helps with your question :)

The problem is in the picture

Answers

It should be the first answer choice between those two

What is the answer plz!!!! I Will mark brainliest!!!!!!

Answers

Answer:

a. she doesnt have any points

b. just draw 3 circles with a plus in them

c. kiara has 7 points

d. -7+7=0

Step-by-step explanation:

mark me brainliest

you can mark me brainliest by clicking the crown at the bottom of this answer

11 ^ 2 power equals what

Answers

A number raised to a power is the same as multiplying the number by itself the number of times of the power.

11^2 = 11 x 11 = 121

The answer is 121

Please help!!!!! Can show work I’m stuck !!!!!!!!!

Answers

P= 21 A= 30 I think I’m not sure sorry
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