Mathematics High School

Triangle PQR has coordinates P (0, 0), Q (-4, 0), and R (0, 2). If ΔPQR ≅ ΔXYZ, what is the measure of XY?
A) 1 units
B) 2 units
C) 3 units
D) 4 units

Answers

Answer 1

Given that ΔPQR and ΔXYZ are congruent triangles, the measure of XY is: D) 4 units

Recall:

Congruent triangles have pairs of congruent angles and congruent sides.Distance between two vertices can be calculated using the distance formula: [tex]d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]

Given ΔPQR ≅ ΔXYZ, therefore, PQ = XY.

Find the distance between P(0, 0) and Q(-4, 0) using[tex]d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]

[tex]PQ = \sqrt{(-4 - 0)^2 + (0 - 0)^2}\\\\\mathbf{PQ = 4 $ units}[/tex]

Since ΔPQR ≅ ΔXYZ, therefore the measure of XY is: D) 4 units

Learn roe about congruent triangles on:

https://brainly.com/question/2938476

Answer 2

Answer:

4 units

Step-by-step explanation:

Related Questions

Sales tax rate is 8% if Ayana buys a set of spoons price that 17.88 what will be the total cost including tax

Answers

Answer:19.31Step-by-step explanation:17.88 x 1.08 = 19.3104 round it down to 2 decimal places to get 19.318% = 0.08

Extra:

Percentage =  1% = 0.01, 10% = 0.1 and 100% = 1

Increase in percentage = 1 + percentage eg. (1  + 0.08 = 1.08)

Decrease in percentage = 1 - percentage eg. (1 - 0.08

Of the students in your class, 12% are left-handed. What fraction of the students are left-handed? Are there more right-handed or left-handed students? Explain. Write your answers in simplest form. A comparison of these two fractions is:

Answers

Answer:

3/25

More right handed

3/25 ≤ 22/25

Step-by-step explanation:

There are more right handed people because 88% of them are right handed.

12/100 = 3/25

can someone help me peaseeeee

Answers

Is this the whole question? It’s rather confusing how they put it together.

Will give brainliest if right

Answers

Answer:

the answer is d to the problem

What is 2+21*13-45+12*67

Answers

Answer:

1034

Step-by-step explanation:

Answer:

1034

Step-by-step explanation:

Divide 5097 by 10 and write the answer as a mixed number

Answers

If it is a mixed number it should be 509 7/10

Mr. Ocampo has two kind of fruit in his basket. The ratio of apples to oranges is 3:2. If there are 18 apples then how many pieces of fruit are there.

Answers

Answer:

There are 27 pieces of fruits

Step-by-step explanation:

Given, apples=18

ratio of apples to oranges =3:2

Now, x/18 =3/2

or, 2x=18*3

or, x=54÷2

x =27„

please mark as branliest answer

hope it helps you

5 The Young family is replacing their central air-conditioning with a high- efficiency unit that costs $11798. The family is offered a 48-month loan without interest. If the family is not able to pay back the full amount in 48 months, they will be charged 8% interest on the purchase amount. How much money in total will the young family pay if they take longer than 48 months? (Think: 48 months is 4 years.)​

Answers

Answer:

12742.84$

Step-by-step explanation:

11798 (the price) + 11796 x 0.08 (8% interest)=12742.84

Urgent! At a baseball game, a vender sold a combined total of 241 sodas and hot dogs. The number of sodas sold was 55 more than the number of hot dogs sold. Find the number of sodas sold and the number of hot dogs sold.

Answers

Answer:

Sodas = 148

Hot dogs = 93

Step-by-step explanation:

Let S and H stand for the number of Sodas and Hot dogs, respectively.

We are told that:

H + S = 241

We are also told that:

S = H + 55

Use the second expression for S (H+55) in the first equation:

H + S = 241

H + (H+55) = 241

2H + 55 = 241

2H = 186

H = 93

Since H = 93,

S = 93+55, or 148

148 + 93 = 241  [Checks]

Sodas = 148

Hot dogs = 93

A 10 kg computer accelerates at a rate of 5 m/s2.how much force was applied to the computer

Answers

Answer:

50 N

Step-by-step explanation:

Given :-

Mass = 10 kg

Acceleration = 5 m/s²

To find

Force applied

The force acting on an object given it's mass and acceleration can be found by using the formula

force = mass × acceleration

From the question we have

force = 10 × 5

We have the final answer as

50 N

(Hope this helps can I pls have brainlist (crown)☺️)

Question :-

A 10 kg computer accelerates at a rate of 5 m/s2.how much force was applied to the computer?

Required Solution :-

The force applied on the computer is 50 N.

Provided that :-

The mass of the computer is 10 kg The acceleration is 5 m/s²

To Calculate :-

The force applied on the computer.

Using Formula :-

Force = Mass × Acceleration

Calculation :-

[tex]\purple{\longrightarrow \sf Force = Mass \times Acceleration}[/tex]

[tex]\longrightarrow \sf Force = 10 \; kg \times 5 \; m/s^2[/tex]

[tex]\longrightarrow \sf Force = 50 \; kgm/s^2[/tex]

[tex]\longrightarrow {\pink{\underline{\underline{\sf{ Force_{(Applied )} = 50 N }}}}}[/tex]

Henceforth :

The force applied on the computer is 50 N.

▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬

92% of what number is 30?
Please answer quick!

Answers

Answer: 32.61

Step-by-step explanation:

92/100 × x = 30

x = 30 × 100/92

x = 32.61

Assuming that the jet cruises at this constant speed, how long do the pilots' watches measure for a complete circumnavigation of the globe? the radius of the earth is about 6380 km.

Answers

Speed = distance/time
Constant speed means no acceleration so this formula can be used
The question says THIS constant speed so I’m assuming in an earlier part of the question you are told the speed at which it cruises.
Therefore,
Using the speed given
Speed divided by 6380km =time

Which of these is not the net of a cube?

Answers

Pretty sure it’s D but I could be incorrect

Answer:

B

I think it b hops it will help

Help plzz

Tap the word that "they" refers to.

Answers

Answer:Frogs

I think so…If it’s wrong and you can tell me and I’ll try correct it

Hope its correct!

;)

Have a great day!

Question 4 options:
The area of a rectangle is 65 square inches.

The length is x + 5, and the width is x – 3.

Find the value of x, and the dimensions of the rectangle.

A=lw

Answers

I. The value of x is equal to 8.

II. The dimensions of the rectangle are 13 and 5 inches respectively.

Given the following data:

Area of a rectangle = 65 square inches.Length of rectangle = x + 5 inchesWidth of rectangle = x - 3 inches

To find the value of x, and the dimensions of the rectangle:

Mathematically, the area of a rectangle is given by the formula:

[tex]A = LW[/tex]

Substituting the values, we have:

[tex]65 = (x+5)(x-3)\\\\65=x^2-3x+5x-15\\\\65=x^2+2x-15-65\\\\x^2 +2x-80=0\\\\x^2 +10x-8x-80=0\\\\x(x+10)-8(x+10)=0\\\\(x-8)(x+10)=0[/tex]

x = 8 or x = -10

For the length:

when x = 8

[tex]Length = 8 +5[/tex]

Length = 13 inches.

For the width:

when x = 8

[tex]Length = 8 -3[/tex]

Length = 5 inches.

Find more information: https://brainly.com/question/11037225

need #5 and #6 please

Answers

Answer:

Step-by-step explanation:

Sam put $500 into a savings
account with a simple interest
rate of 6%. He earned $120 of
interest. How long was his
money in the bank?
.Write your response!

Answers

The money was in the bank 4 years

Answer: 6 years

Step-by-step explanation:

right now michael earns an annual salary of $46,023 he is Considering a job offer with an annual salary of $51,145 what is the difference in the monthly pay for these two jobs rounded to the nearest cent

Answers

Answer:  The job pays $32,400 per year, and the agency fee is equal to 45% of one month's pay.

(PICTURE PROVIDED)
HELPPPPPPP PLS
A: 5/4
B: 3/2
C: 6/5
D: 2/3

Answers

Answer:

I think its 6/5 or 2/3

Step-by-step explanation:

Answer:

1. A

2. C

3. D

4. C

5. D

Step-by-step explanation:

You're welcome

A family of four drove to Disney World: It took 12 hours to get there. Parking was $15. The total cost of parking and admission was $195. How much was each ticket?

Answers

$45 each person

parking = $15

Parking + admission = $195

1. Subtract parking from the total. 195 - 15 = 180

2. Divide admissions total by 4 people. 180 / 4 = 45

Jada measured the height of a plant in a science experiment and finds that, to the nearest 1/4 of an inch, it is 4 3/4 inches.

What is the largest the actual height of the plant could be?
4 7/10
inches

Answers

Answer:

Step-by-step explanation:

Given that the height(h) of the plant to the nearest 1/4 of an inch is 3/4 inches = 0.75 inches.

It is obvious that the height will lie within the range

2.5/4<h<3.5/4

which corresponds to the range

5/8<h<7/8 OR 0.625<h<0.875

Thus,

a. The largest actual height could be 0.875 inches, while

b. The smallest actual height could be 0.625 inches

c. The percentage error is given by the formula:

[(approx.-exact)/exact]*100%

If we take the lowest value, for instance, as the exact, i.e. 0.625 inches,

then % error = [(0.75-0.625)/0.75]*100% = 16.7%

Obviously, the same value is expected if we take the upper limit of 0.875, i.e. % error = [(0.75-0.875)/0.75]*100% = -16.7%, only that the absolute value will be taken.

Find the slope of the line. ​

Answers

Answer:

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

Step-by-step explanation:

We can see certain points plotted which are  (-1, 2) (1,-1) and (3, -4)

We use the slope formula to find slope with any two points that were given

[tex]m=\frac{y_{2}-y_{1} }{x_{2} -x_{1} }[/tex]

solve the system of linear equations 3x-2y=16
6x-4y=32

Answers

Step by Step Solution

System of Linear Equations entered :

[1] 3x - 2y = 16

[2] 6x - 4y = 32

Solve by Substitution :

// Solve equation [2] for the variable x

[2] 6x = 4y + 32

[2] x = 2y/3 + 16/3

// Plug this in for variable x in equation [1]

[1] 3•(2y/3+16/3) - 2y = 16

[1] 0 = 0 => Infinitely many solutions

Infinitely many solutions

Answer:

Step-by-step explanation:

[1] 3x - 2y = 16

[2] 6x - 4y = 32

Solve equation [2] for the variable x

[2] 6x = 4y + 32

[2] x = 2y/3 + 16/3

Plug this in for variable x in equation [1]

[1] 3•(2y/3+16/3) - 2y = 16

[1] 0 = 0 => Infinitely many solutions

[tex]\bold{ \sqrt{12} \times \sqrt{12} }=[/tex]

Answers

The answer will be 12
Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers
12.
Hope this helped >_

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The equivalent value is ~

[tex] \boxed{12}[/tex]

[tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]

Let's solve ~

[tex] \sqrt{12} \times \sqrt{12} [/tex]

[tex] \sqrt{2 \times 2 \times 3} \times \sqrt{2 \times 2 \times 3} [/tex]

[tex] \sqrt{2 \times 2 \times 3 \times 2 \times 2 \times 3} [/tex]

[tex]2 \times 2 \times 3[/tex]

[tex]12[/tex]

Find the value of the expression 4a4 − 2b2 + 40 when a = 2 and b = 7.

someone help please

Answers

Answer:

6 is the Value of the Expression.

Step-by-step explanation:

4 a⁴ - 2 b² + 40 :

4 * ( 2⁴) - 2 * ( 7²) + 40 =

4 * 16 - 2 * 49 + 40 =

64 - 98 + 40 =

-34 + 40 =

+ 6

Hopefully this helps.

find the highest common factor of 9, 12 and 15​

Answers

Hello there! :)

The highest common factor of 9, 12, and 15 is 3.

To find the HCF (also called the GCF) of two or more numbers, we list their factors:

9: 1, 3, 9

12: 1, 2, 3, 4, 6, 12

15: 1, 3, 5, 15

Can you see that 3 is their GCF?

Hope this helps!

~Just a determined gal

#CarryOnLearning

[tex]MysteriousNature[/tex]

NEED HELP ASAP ON A TEST WILL GIVE YOU BRAINLIST

A fishing rental company charges $25.75 for a small boat rental, plus an additional $6.20 per hour that the boat is rented. Partial hour
rentals are allowed. The total charge for a certain rental is $53.65
How long was the boat rented?
Enter your answer in the box

Answers

Answer:

ok so first you do this 25.75 + 6.20 = 31.95 and then you just do like this 53.65 - 31.95 = 21.7 that would be the answer and the answer is 21.7

Step-by-step explanation:

hope this help and if this is wrong i am very sorry

4.5

I just took the test hope this helped ;)

Serena’s average speed during her training run was 8 kilometers per hour over the 2 hours that she ran. What was the total distance that she ran?

Use the formula d = rt, where d represents the distance, r represents the rate, and t represents the time.
4 km

Answers

Step-by-step explanation:

so, we just enter the given data into the given formula. and then calculate. it does not get easier than that.

d = 8km/h × 2h = 16km

Serena ran 16km in these 2 hours.

Answer:

the correct answer is 16km

Step-by-step explanation:

pl.z dont delete this

Please help and no links!!!!

Answers

Answer: 18

Step-by-step explanation:

How do you solve (x+4)2 ?

Answers

Answer:

Simplify the expression.

x2+8x+16

Step-by-step explanation:

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