In the diagram below, quadrilateral PQRS is a rectangle. Diagonal PR splits the rectangle into triangles PQR and RSP.

Based on the assumption that quadrilateral PQRS is
a rectangle, determine whether each statement below is true or false. Select True or False for each statement.
TRUE or FALSE


1.) Triangles POR and RSP are congruent because they satisfy the side-side-sido (SSS) triangle congruence criterion.

2.)Triangles POR and RSP are congruent because they satisfy the side-anglo-sido (SAS) triangle congruence criterion

3.)Triangles POR and RSP are congruent because there is a rotation that carries one triangle onto the other.

4.)Triangles POR and RSP are congruent because there is a translation that carries one triangle onto the other

Answers

Answer 1

Answer:

False

True

True

False

Step-by-step explanation:

Answer 2

Answer:true true true false

Step-by-step explanation: did it in class


Related Questions

distance between orlando and jacksonville

Answers

2 hours and 4 mins or you can say 140.6 miles

Answer:

Its about 140 miles

Step-by-step explanation:

it takes slight over 2 hours to get from point a to b

43.9
44.3
45.7
46.2
Are possible answers.

Answers

Answer:

44.3 would be the correct answer if I looked at it correctly

expanded form of (-p) ³​

Answers

Answer:

(- p) × (- p) × (- p)

Step-by-step explanation:

(-p)³

(- p) × (- p) × (- p)

In triangle ABC, ∠A = 55°, ∠B = 75°. Which statements are correct? You must select all correct answers.

Side BC is the longest side
Side AB is the shortest side
Side AC is the longest side
Side BC is the shortest side

Answers

Answer:

AC is the longest side

AB is the shortest

Step-by-step explanation:

Generally, the side that faces the smallest angle has the smallest side while the side that faces the largest angle has the largest side

The measure of the third angle C is 180 - 55 -75 = 50

Kindly note that A faces BC

B faces AC

C faces AB

So while AC is the longest side, AB is the shortest

So the correct answers are;

AC is the longest side

AB is the shortest side

What is the interest on a loan of $2,500 that is borrowed at 9% for 7 months.

Answers

Answer:

$1575

Explanation:

Answer:

$131.25

Step-by-step explanation:

We'll need to review the simple interest formula for this:

I = P(1rt)

This is where P is the principal amount of money to be invested at an interest rate R% (put this in a decimal while calculating). The variable t is the amount of time in years.

Try to plug in these numbers and use my explanation as a checking tool. If you're having trouble, then no worries. Feel free to follow along :D

I = 2,500*(0.09)(7/12)

= 2,500 * 0.525

I = 131.25

So, the interest of a loan of $2,500 underneath those conditions is $131.25

Please let me know in the comments if anything is wrong. I'll be happy to update this answer!

Good luck and keep studying. I believe in you :D

How are 0.02 and 20 related

Answers

Answer:

No (unless you count them both being numbers then no!)

Step-by-step explanation:

Hope this helps! :)

20 is 1 tenth of 0.02. 20 is 1000 times 0.02.

Customers at an ice-cream shop took a survey. The results showed that 279 customers rates the shop as being "very satisfactory." This number represented 45% of the total number of customers who took the survey. What was the total number of customers who took the survey ? Explanation plz

Answers

Answer:

620 customers

Step-by-step explanation:

Customers at an ice-cream shop took a survey.

Let the total number of customers who took the survey be represented by x

We are told in the question that:

The results showed that 279 customers rates the shop as being "very satisfactory." This number represented 45% of the total number of customers who took the survey.

Hence:

45% of x = 279 customers

= 45/100 × x = 279 customers

45x /100 = 279

Cross Multiply

45x = 100 × 279

x = 27900/45

x = 620 customers

The total number of customers who took the survey is 620 customers

(©) For the members of the golf club the ratio men:children = 11:2.
The ratio women:children = 10:3.
(1) Find the ratio men: women.

Answers

Answer:

33:20

Step-by-step explanation:

Which of these expressions is equivalent to 0.03(x+80)?

A. 0.03x + 2.4

B. 0.03x + 80

C. 0.03x + 80.03

D. 0.03x + 24

Answers

Im not 100% sure, but I think the answer is A! Sorry, this probably wasn’t that helpful lol, have a nice day.

Need Help I'm A Good Person

Answers

Answer:

C

Step-by-step explanation:

I think thats what they are saying anyway

Fill in the blank. If 9/24 =3/x , then x is .

Answers

Answer:

X=8

Hope I helped

Answer:

8

Step-by-step explanation:

Write it out: [tex]\frac{9}{24} = \frac{3}{x}[/tex]  Cross multiply, then divide: 3 × 24 = 72, 72 ÷ 9 = 8So, the blank is 8

I hope this helps!

Please help >.<

Which right prism would have the same volume as a square prism with a base area of 36 m2 and a height of 3 m?

A right triangular prism is shown. The triangle has side lengths of 6 meters and 3 meters. The height of the prism is 2 meters.

A rectangular prism is shown. The rectangle has side lengths of 18 meters and 2 meters. The height of the prism is 3 meters.

A triangular prism is shown. The triangle has a base length of meters and a height of 3 meters. The height of the prism is 4 meters.

Answers

B. 2 18 3

Step-by-step explanation:

on edg

PLEASEEE HELPPPPP!!!! у
Test Scores in Relation to Homework
2.
100
How would you characterize the relationship
between the hours spent on homework and
the test scores? Explain.
90
80
70
60
Test Scores
50
3. Draw a line of best fit on the graph.
40
4.
30
Based on your line, what is the likely test
score of a student who does not study for
the test?
20
10
0
1
2
3
8
9
4 5 6 7
Hours of Homework

Answers

Answer:

2. The more hours spent doing homework the better the test scores.

3. Just draw a line that runs through (1,50) (2,55) (3,60) (4,65)

4. Dunno

Step-by-step explanation:

Answer:

Number 4 would be 45%

Step-by-step explanation:

Can someone please help me?

Answers

Answer:

3.33×10^5 times

Step-by-step explanation:

Given

Mass of the Sun = 1.99×10^30Mass of the Earth = 5.97×10^24

The mass of the Sun is greater than the mass of the Earth times:

1.99×10^30 / 5.97×10^24 =19.9×10^29 / 5.97×10^24 =19.9/5.97×10^(29 - 24) = 3.33×10^5

Name the triangle congruent to ΔABC

ΔABC≅Δ

Answers

triangle QPR is equal to triangle ABC

Answer:

QPR

Step-by-step explanation:

angle A=Q side AB=QP

B=P BC=PR

C=R CA=RQ

help meeeeeeeeeeeeeeeeeeee​

Answers

Answer:

hm

Step-by-step explanation:

I needddd helppppp pleaseee

Answers

Answer:

51°

Step-by-step explanation:

Given f(x) = x2 + 5x + k, and the remainder when f () is divided by x – 8 is
93, then what is the value of k?

Answers

By the remainder theorem, the remainder upon dividing a polynomial p(x) by x - c is equal to p(c).

Here, p(x) = x² + 5x + k and c = 8, which gives

p (8) = 8² + 5•8 + k

93 = 64 + 40 + k

k = -11

i need some help.. fraction: {5⁷}{5²}

Answers

Step-by-step explanation:

[tex]\dfrac{5^7}{5^2}\qquad|\text{use}\ \dfrac{a^n}{a^m}=a^{n-m}\\\\=5^{7-2}=5^5[/tex]

what's 20×14 ?
[tex]20times 14[/tex]
what is it?​

Answers

Answer:

280.

Step-by-step explanation:

You can just do basic math. 20, times 14. You can also use a multiplication table, look for 20, and count 14 times. (If the table goes up to 20.)

How do you write an equation in standard form given the slope and one point in the graph? For example, slope = 9 and (-5, 2).

Answers

Answer:

Find the Equation of a Line Given That You Know a Point on the Line And Its Slope. The equation of a line is typically written as y=mx+b where m is the slope and b is the y-intercept.

Step-by-step explanation:

hope this helps

Oliver read for 450450450 minutes this month. His goal is to read for 10 percent more minutes next month.

If Oliver meets his goal, how many minutes will he read in all during the two months?

Answers

Answer:

94594945

Step-by-step explanation:

First we need 1105 of 450450450 we get this by multiply it by 1.10 we'll get 495495495 then we add that to his score  of the first month to get 94594945

Answer: 945

Step-by-step explanation: since he is reading 10% MORE you would find the percentage of 450 PLUS 10%

110/100= 1.1

1.1 * 450= 495

495 + 450= 945

Hopefully this makes sense

guys i said it once but imma say it again i love lanie
also A school has 400 students. They all come to school by bus, and each bus carries the same number of students. How many students might there be on each bus?

Answers

4

Step-by-step explanation:

There are 400 students, and 100 buses, so number of student in each bus= 400/100

= 4

A wire is in the shape of square of side 12cm. if the wire is rebent into a
rectangle of length 14cm, find its breadth. Which figure encloses more area
and by how much?

Answers

Answer:

Breadth = 10 cm.

Difference in area = 4 cm^2 ( the square encloses more area).

Step-by-step explanation:

The perimeter  of the square = 4*12 = 48 cm.

If the length of the rectangle is 14 then

2*14 + 2b  = 48  where b is the breadth.

28 + 2b = 48

2b = 20

b = 10 cm.

A square encloses more area than a rectangle for a given length of wire.

Area  of the square = 12^2 = 144cm^2  and

area of the rectangle = 14*10 = 140 cm^2.

Jenna gets an iTunes gift card for her birthday and decides to buy some games and some music the music she likes costs $1.99 per song and the games costs $0.99 each if she buys a total of 12 items and spends $18.88 how many of each item did she buy

Answers

Answer: 4 songs and 11 games

Step-by-step explanation:

Sorry if I’m wrong!

Rate this app 1/10 and explain why

Answers

I don’t really like it. It caused me to not like math as much. 2/10

Describe the process for
graphing the equation
y – 4 = 2(x + 1)

Answers

Answer:

Graph the line using the slope and y-intercept, or two points.

Slope: 2

y-intercept: (0,6)

Step-by-step explanation:

X y

−3 0

0 6

Someone plzz help it’s urgent!!

Answers

Answer:

hope it helps..

Step-by-step explanation:

If this helped please comment..

Here is a circle, centre O, and the tangent to the circle at the point (8,15)

Answers

Answer:

y = -8/15x + 289/15

Explanation:

Given a circle with a radius of 17, and a centre at the origin (0,0), to find a line tangent to the point (8,15), there are a list of methods we could use to solve this problem. Instead of using derivatives (used to find the slope or gradient of a function at a given point), we can use the inverse tangent (goes from output to input, instead of input to output, but the inputs will still act as a function, which means you can only get one input for each output, this will get you from the side proportion to the angle, instead of angle to side proportion) as we know that a line connecting the origin to the point is always perpendicular to that line which is tangent to it. We can just take the opposite reciprocal (because when two lines are perpendicular, they always have opposite reciprocal slopes) of that, and then trace that slope back to the y-axis to find the it's y-intercept.

An opposite reciprocal just means to take that number, flip it's numerator, and denominator, and then make it negative.

So let's just use basic algebra to find the line going through points (0,0), and (8,15).

Because the line goes through the origin, we already know the y intercept is 0, so all we need to do is find the slope.

So slope [m] = (y2-y1)/(x2-x1).

Where (x1,y1) is the first point, and (x2, y2) is the second point. so m = 15-0/8-0 = 15/8.

Know that we have the slope of the first line, the perpendicular line will go through the same point, and have an opposite reciprocal -n^-1.

So 15/8 → 8/15 → -8/15 [this is the slope of the tangent].

Now since we know a point, and a slope, we can backtrack to find its y-intercept.

We can use point slope form:

y – y1 = m(x – x1)

(x1,y1) is the point we know [(8,15)], m is the slope we know [-8/15], and (x,y) is the point we are looking for. Also don't forget, since we are looking for a y-intercept, set x to zero because a y-intercept of anything is when x = 0.

Since we are only looking for y

y – y1 = m(x – x1) will become y = m(-x1) + y1.

This is because -y1 will cancel out when you add both sides by y1, and when x is 0, x1 will remain by itself in the form -x1.

So y = m(-x1) + y1 → y = (-8/15)(-8) + (15) →

64/15 + 15 = 64/15 + 15×15/15 = (64 + 225) / 15 = 289/15 [this is the y-intercept of the tangent line]

Now that we know the slope, and y- intercept of the tangent line, we can write the following equation in slope intercept:

m = -8/15, b = 289/15 → y = mx + b →

y = -8/15x + 289/15.

Answer:

y = -8/15x + 289/15

What expressions are equivalent to 4^-2 times 7^-2.
choose two answers

a. (4 times 7)^-4
b. 1/28^2
c. 7^-2/4^2
d. (4 times 7)^4

Answers

for the first time in a few days and

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