Given: PQ congruent to SR, PQR congruent to SRQ
Prove: PQR congruent to SRQ

Given: PQ Congruent To SR, PQR Congruent To SRQProve: PQR Congruent To SRQ

Answers

Answer 1

Answer:

ΔPQR is congruent to ΔSRQ b the Side-Angle-Side rule of congruency   [tex]{}[/tex]    

Step-by-step explanation:

The two column proof is given as follows;

Statement    [tex]{}[/tex]                                         Reason

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

2. ∠PQR ≅ ∠SRQ   [tex]{}[/tex]                               Given

3. [tex]\overline {QR}[/tex] ≅ [tex]\overline {QR}[/tex]      [tex]{}[/tex]                                     By reflexive property

4. ΔPQR ≅ ΔSRQ   [tex]{}[/tex]                               By SAS rule of congruency   [tex]{}[/tex]          

When two sides and an included angle of one triangle are congruent to the corresponding two side and an included angle of another triangle, both triangles are said to be congruent by the Side-Angle-Side SAS rule of congruency.


Related Questions

pls kinda need help
lolol

Answers

I think that the answer is A.

Veronica's cell phone plan costs $39.99 a month for 450 minutes. She is charged an additional $0.45 for each minute over 450 she uses. Veronica's bill last month was $95.34. How many minutes over 450 did Veronica use last month?
A. 123 minutes
B. 212 minutes
C. 573 minutes
D. 662 minutes ​

Answers

Answer:

A. 123 minutes

Step-by-step explanation:

A card is drawn at random from a well shuffled pack of 52 cards. What is the probability that the card is neither a spade nor a jack?

Answers

Answer:

Okay, So neither a spade nor a jack.

Total no. of cards in adeck =52  

Number of spades =13  

Total number of non-spades out of  52  cards  =52−13=39  

Number of jack out of 52  cards =4  

Number of jack in each of three suits namely hearts, diamonds and clubs =  3  

[Since, 1 jack is already included in the 13 spades so, here we will take number of jacks is  3 ]

Neither a spade nor a jack  =39−3=36  cards in total.

Therefore, probability of getting ‘neither a spade nor a jack’=

NumberoffavorableoutcomesTotalnumberofpossibleoutcome  

=(362)/(522)  

=630/1326=105/221

Step-by-step explanation:

I hoped i helped i might have put to much but there u go!!

BRAINIEST WILL BE MARKED!!! Which set of side lengths forms a unique triangle?



(A)5 cm, 5 cm, 10 cm



(B)11 cm, 14 cm, 17 cm



(C)109 cm, 214 cm, 414 cm



(D)8 cm, 15 cm, 26 cm

Answers

Answer is d ... ..........

HELP PLEASEEE I NEED ANSWER RN.

Answers

Answer:

The first answer.

Step-by-step explanation:

-4, .075, 2.23, and 3. All you really needed was to know the square root of 5

Russ has a car that averages 9.8 miles per gallon. Mike's car averages 39.2 miles per gallon. How many times more miles per gallon does Mike's car averages than Russ' s car?

Answers

Answer:

4 times

Step-by-step explanation:

This is calculated by putting them in a ratio

Russ's car : Mike's car

9.8 miles per gallon : 39.2 miles per gallon

Converting to fraction

= 9.8/39.2

= 1/4

Hence, we have the ratio:

1 : 4

Hence, Mike's car averages Russ's car 4 times more in miles per gallon

Find the distance between the two points rounding to the nearest tenth (if necessary).
(0,1) and (-5,7)

Answers

Answer:

12

Step-by-step explanation:

[tex]We\ know\ that\ distance\ between\ two\ points\ on\ a\ graph\ is\ given\ by\\\\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\Here,\\x_1=0\\x_2=1\\y_1=-5\\y_2=7\\Substituting\ them\ in\ our\ formula,\ we\ get:\\\sqrt{(1-0)^2+(7-(-5))^2}\\=\sqrt{1+(7+5)^2} \\=\sqrt{1+144}\\=\sqrt{145}\\=12.04\\Hence\ it\ rounds\ off\ to\ 12.\\[/tex]

Peter's paint company made the same number of gallons of paint on Monday, Tuesday, and Wednesday. On Thursday, they made twice as many as any of the previous days. If they made a total of 20 gallons over the course of these four days, how many gallons did they make each day? Monday

Answers

Answer:

Peter's company uses on:

Monday = 4 gallons

Tuesday = 4 gallons

Wednesday = 4 gallons

Thursday = 8 gallons

Step-by-step explanation:

If they made a total of 20 gallons over the course of these four days, how many gallons did they make each day? Monday

Let the gallons of paint used be Peter's company on Monday, Tuesday, and Wednesday since it is the same amount be represented by x

On Thursday, they made twice as many as any of the previous days.

= 2x

Hence:

x + x + x + 2x = 20 gallons

5x = 20 gallons

x = 20 gallons/5

x = 4 gallons

Note that:

Thursday = 2x

Hence, = 2 × 4 gallons = 8 gallons

Hence, Peter's company uses on:

Monday = 4 gallons

Tuesday = 4 gallons

Wednesday = 4 gallons

Thursday = 8 gallons

True or false: f(x) is a function.

f(x)
O A. False
B. True

Answers

True: f(x) is a function

Answer:A true

Step-by-step explanation:

A florist has to pay $7.50 each time a customer chooses a competitor for the delivery of flowers. Which expression shows the amount that the florist earns if p people use a competitor for delivery, and the company makes $320.00 before any payment is made to their competitors?

Answers

Answer: $320 - $7.50p

Step-by-step explanation:

Based on the information given in the question, the expression that shows the amount that the florist earns if p people use a competitor for delivery, and the company makes $320.00 before any payment is made to their competitors will be:

= $320 - $7.50p

where,

$320 = revenue made before any payment

$7.50 = amount paid for a customer choosing a competitor

p = number of customers

Answer:

a

Step-by-step explanation:

A Jet ski rental company charges a one time fee of $50 , and $90 per hour to rent one of their jet skis. How many hours (X) it will take to spend exactly $2,210?

Answers

Answer:

24 hours

Step-by-step explanation:

Given that:

One time fee for renting the Jet ski = $50

Per hour charges to rent one Jet ski = $90

Total money available = $2210

To find:

Number hours [tex]X[/tex] it will take to spend the total money.

Solution:

Charges for renting the jet ski for one hour = $90

Charges for renting the jet ski for [tex]X[/tex] hours = $90[tex]X[/tex]

As per question statement, it can be written that:

One time Charges + Charges for renting the jet ski for [tex]X[/tex] hours = $2210

[tex]\Rightarrow 50 + 90X=2210\\\Rightarrow 5+9X=221\\\Rightarrow 9X=216\\\Rightarrow X =\bold{24\ hours}[/tex]

James has $11. Suppose the function f (x ) = 1.25x + 4 represents the cost to rent x video games each month. How many more dollars will James need to rent 9 video games next month? *

Answers

Answer:

$4.25

Step-by-step explanation:

First, find the cost to rent 9 video games by plugging in 9 as x:

f(x) = 1.25x + 4

f(9) = 1.25(9) + 4

f(9) = 15.25

So, it will cost $15.25. Since James already has $11, we can find how many more dollars he will need by subtracting 11 from 15.25:

15.25 - 11

= 4.25

So, James will need $4.25 more dollars

Answer:

$4.25 more dollars

Step-by-step explanation:

f(x)=1.25x+4

James wants 9 video games, so 9 would be x

1.25(9) = 11.25

then you add the fixed cost of 4

11.25+4 = 15.25

He has $11, so 15.25 - 11 = 4.25

Meaning he needs $4.25 more dollar to rent 9 video games

Find the slope of the line described by 2x − 5y = −10.

Answers

Answer:

2/5 is the slope

Step-by-step explanation:

Answer: y= [tex]\frac{2}{5}x + 2[/tex] would be the equation the slope would be 2/5x

will mark brainliest!!

Answers

Answer:False, true, true, false

Step-by-step explanation:

The first one is false because 2 & 5 equal 180 together. B is true because they equal the same thing. C is true because they equal 180 together. And D is false because those don’t equal 180.

this is the third one. to the person that is helping me, thank you so much.

Answers

Answer:

B is the answer.

First you do 38.25 divided by 3 and you get 12.75, And option B is 12.75

5.How many solutions does the system have?
x - y=4
2x - 2y = -8
a. one solution
b. two solutions
c. infinitely many solutions
d. no solution

Answers

Answer:

one solution = a, that is your answer

Answer:

D) No solution

Step-by-step explanation:

That is because...

x-y=4              2x-2y= -8

-y= -x+4          -2y= -2x-8

y= x-4              -y= -x -4

                       y=x+4

y=x-4 does not equal to y=x+4

Nathan has a $5 gift card to download Pokemon games. The function m =
-0.5d + 5 represents the amount of money m that remains on the card
after a certain number of games, d, are downloaded. Find the zero and
explain what it means.*

Nathan can download 9 games and have some money left on the card

Nathan can download 10 games and have $0 left on the card

Nathan can download 15 games and have some money left on the card

Nathan can download 20 games and have $0 left on the card

Answers

Answer:

B. Nathan can download 10 games and have $0 left on the card

Step-by-step explanation:

Function given

m = -0,5d + 5

Each game costs $0.5 so 10 games cost 10*0.5 = $5

m = -0.5*10 + 5m = -5 + 5m = 0

Therefore when 10 games downloaded, no money is left on the card.

Correct choice is: B

is the area of the rectangle 40 or 96 square feet? explain

Answers

Answer: 96ft

Step-by-step explanation:

Width times hight equals area. So 12x8=96ft

Answer:

the answer 96 feet

Step-by-step explanation:

If (8^9)p = 8^16 what's the value of p?

Answers

Answer:

[tex] p = {8}^{7}[/tex]

Step-by-step explanation:

[tex](8^9)p = 8^{16 } \\ \\ p = \frac{8^{16 } }{8^{9 } } \\ \\ p = {8}^{16 - 9} \\ \\ \huge \red{ \boxed{p = {8}^{7} }}[/tex]

What is the equation of a line that passes through (-10,3) and is parallel to y =2x+9?

Answers

Answer:

-2/3.

Step-by-step explanation:

Answer:

y = 2x + 23

Step-by-step explanation:

Given

Line y = 2x + 9

Parallel line has same slope

y = 2x + b

Finding b using the given point (-10, 3)

3 = 2(-10) + b3 = -20 + b3 + 20 = bb = 23

So the line is:

y = 2x + 23

3n + 14 =
I’m
Gonna mark Brainly who ever answers first • w •

Answers

Answer:

n=-6

Step-by-step explanation:

3n+14=-4

3n=-18

n=-6

Choose the correct answer.
1. What is the equation of a line that passes
through the origin and intersects (4, 6)?
A. y = -3/2x
B. y = -2/3x
C. y = 2/3x
D. y = 3/2x

Answers

Answer:

The equation of the line is y = [tex]\frac{3}{2}[/tex] x ⇒ D

Step-by-step explanation:

The form of the linear equation is y = m x + b, where

m is the slope of the lineb is the y-intercept (value y at x = 0)

The rule of the slope is m = [tex]\frac{y2-y1}{x2-x1}[/tex] , where

(x1, y1) and (x2, y2) are two points on the line

∵ The line passes through the origin (0, 0) and point (4, 6)

∴ x1 = 0 and y1 = 0

∴ x2 = 4 and y2 = 6

→ Substitute them in the rule of the slope above to find it

∵ m = [tex]\frac{6-0}{4-0}=\frac{6}{4}=\frac{3}{2}[/tex]

m = [tex]\frac{3}{2}[/tex]

→ Substitute it in the form of the equation above

∴ y = [tex]\frac{3}{2}[/tex] x + b

∵ The line passes through the origin

∴ The y-intercept = 0

b = 0

→ Substitute it in the equation

∵ y = [tex]\frac{3}{2}[/tex] x + 0

∴  y = [tex]\frac{3}{2}[/tex] x

The equation of the line is y = [tex]\frac{3}{2}[/tex] x

Which steps show how to use the distributive property to evaluate 6 times 49

A. 6(49) = 6(50-1) = 6.50 6.1 300

B. 6(49) = 6(50

1) 6.50

1 300

1299

C. 6(49)=6150 - 16.30

D. 6(19) =6150

1) = 6 to

500 1300 300

Answers

Answer:

294

Step-by-step explanation:

The distributive property for multiplication is as follows :

a(b+c) = ab + ac

We need to evaluate 6 times 49 i.e. 6(49).

We can write 49 as (50-1)

6(50-1) = 6(50+(-1))

Here, a = 6, b = 50 and c = -1

So,

6(50+(-1)) = 6(50) + 6(-1)

= 300-6

= 294

So, answer is 294. Option (A) is somehow correct.

how i do inequalities

Answers

Answer:

Following the steps given below you can solve any inequality.

Step-by-step explanation:

I will give an example and explain you step by step of solving an inequality.

Consider an inequality: [tex]2x+4 > 8[/tex]

In this inequality we need to find the value of x.

Step 1: Write the inequality

[tex]2x+4 > 8[/tex]

Step 2: Subtract 4 on both sides of inequality

[tex]2x-4 > 8-4\\2x>4[/tex]

Step 3: Now, you have divide both sides by 2 to get value of 4

[tex]\frac{2x}{2}>\frac{4}{2}\\x>2[/tex]

So, solving the inequality we find value of x: [tex]x>2[/tex]

Following these steps you can solve any inequality.

I hope it will help you.

PLEASE HELP!! Uber charges $5 for a ride plus $0.50 per mile. If you have only $27.50 in your account, what is the maximum number of miles that you can travel?

Write an inequality that could be used to find out how many miles you can go.

Answers

Answer: 5 miles

Step-by-step explanation: Hope this helps :)

Hey, Could any of you provide me a step by step explanation as to how you get to the answer?
(The step by step explanation is what I need most but please don't forget the answer)!

Answers

Answer:

Step-by-step explanation:

First start by finding the values of the numbers being multiplied together.

5^-2 = 25

This equals a positive 25 because when ever you multiply a negative by a negative it always equals a positive number. -5 x -5 = 25

[tex]\sqrt[3]{8}[/tex] = 2

This is asking what x what x what equals eight. Remembering that the square root of 4 is 2. We can determine that since 4 x 2 = 8 the cube root of 8 is 2.

2 x 2 x 2 = 8 and 8 divided by 2 divided by 2 = 2

So now solve the equation we have now. 25 x 2 =?

25 x 2 = 50

And 50 is our answer.

Explain the pattern you can use to find the product when multiplying a whole number by a power of ten. Will this pattern be the same when multiplying a decimal by a power of ten? Explain with examples.

Answers

Answer:

The pattern is the same when multiplying a whole number and a decimal number by a power of ten.

Step-by-step explanation:

The pattern to use when multiplying a whole number by a power of ten can be expressed as follow:

A whole number is a number without a fraction, so let say we choose 12 as a whole number, and let choose 6¹⁰ as a number with the power of ten.

To multiply these two numbers, we get;

= 12 × 6¹⁰

= 12 × 60466176

= 725594112

Now, the pattern to use when multiplying a decimal by a power of ten.

A decimal number is a number that comprises of a whole number and a fraction number that is being by a decimal point.

Let say our decimal number is 1.2 and our number raised to the power of ten is   6¹⁰

Then, To multiply these two numbers, we get;

= 1.2 × 6¹⁰

= 1.2 × 60466176

= 72559411.2

Thus, the pattern is the same when multiplying a whole number and a decimal number by a power of ten.

what is the lebgth from w to x if t to v is 16

Answers

Answer:

8

Step-by-step explanation:

If you rotate the triangle you can see that the base is 16 and since WX is the mid segment that means it's half of the base so half of 16 is 8.

Fatima has a total of $8 to spend to make fruit smoothies. She
plans on spending all of the money and will use two types of fruit.
Mangos cost $0.50 per cup and strawberries cost $1.00 per cup.
Write an equation for this situation. Define the variables you used in your equation.

Answers

either $0.50 × $1 or $0.50÷ $1 hope this answer helps

Plz help meh this is the last question for my hw

Answers

Answer:

A

Step-by-step explanation:

y = [tex]\frac{10}{5}x[/tex]

y = 2x

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