The figure shows three right triangles. Triangles PQS, QRS, and PRQ are similar. Theorem: If two triangles are similar, the corresponding sides are in proportion. Figure shows triangle PQR with right angle at Q. Segment PQ is 4 and segment QR is 9. Point S is on segment PR and angles QSP a Using the given theorem, which two statements help to prove that if segment PR is x, then x2 = 97? (1 point) Segment PR ⋅ segment PS = 16 Segment PR ⋅ segment SR = 36 Segment PR ⋅ segment PS = 36 Segment PR ⋅ segment SR = 81 Segment PR ⋅ segment PS = 16 Segment PR ⋅ segment SR = 81 Segment PR ⋅ segment PS = 81 Segment PR ⋅ segment SR = 16

Answers

Answer 1

The two statements that help to prove that if segment PR is x, then x² = 97 are:

Segment PR • segment SR = 81Segment PR • segment SR = 16

What is a segment?

A line segment is a piece or part of a line having two endpoints.

Here, the statements that help to prove that if segment PR is x, then x² = 97 are Segment PR • segment SR = 81 and that Segment PR • segment SR = 16.

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Related Questions

What is 3/5 by 1/2 reduced?

Answers

Answer: 1/10

Step-by-step explanation:

I think you mean 3/5 - 1/2?

we need to make the denominators the same, so we find the LCM of 5 and 2, which is 1, so we multiply them to get a common denominator of 10.

Now we multiply 3/5 by 2/2 to get 6/10, and 1/2 by 5/5 to get 5/10.

6/10 - 5/10 = 1/10

can you give brainliest

Kara has 25 toy animals and 12 books Jorge has 8 more toy animals than Kara has how many toy animals does Jorge have

Answers

Answer:

Jorge Has 33 more toy animals than kara

Step-by-step explanation:

Answer:

Jorge has 33 toy animals.

Step-by-step explanation

We're adding 25 and 8 together to get our answer, which would be 33 at the end.

1
A pack of 8 batteries costs £4.99
How much does each battery cost?
Give your answer to the nearest penny.​

Answers

A). 50 penny
B) This type of battery is cost effective.
Step-by-step explanation:
A) A pack of 8 batteries cost 3.99 pounds so one battery will cost = 3.99/8 = 0.499 pound
Since 1 pound = 100 penny
So 0.499 pound = 100×0.499 = 50 penny
B). A pack of 6 batteries of the same type costs 2.79 pounds
So one battery will cost = 2.79/6 = 0.465 pound or 47 penny
Now we say that type A batteries are costlier than B. Therefore B type batteries are of a better value.
4.99/8 = £0.62375
rounded = £0.62
1 battery costs £0.62
hope this helps x

Fifty more than five times a number is 150. What is this number?

Answers

Answer:

the number is 20

Step-by-step explanation:

5x+50=150

5x=100

x=20

What is the nth term rule to -4 -1 2

Answers

Answer:

-8

Step-by-step explanation:

A wheelbarrow has a wheel with a diameter of 10 inches. What is the distance, in inches, that the
wheelbarrow moves after 16 full rotations of the wheel? Use 3.14 for m.

Answers

Answer:

Step-by-step explanation:

Using the formula for finding the circumference of a circle.

C = 2πr

r is the radius

radius = diameter/2

radius = 10/2

radius = 5in

C ,= 2(3.14)(5)

C = 20(3.14)

C = 31.4×2

C = 62.8in (for 1 rotation)

For 16 rotations;

C = 16×62.8

C = 1004.8in

The distance covered is 1004.8in

Patti got a new part-time job. Her hourly wage increased from $10.50 to $12.39. What was the percent increase in Patti’s hourly wage? A 1.8% C 18% B 15.25% D 189%

Answers

Answer:

1.8 %

Step-by-step explanation:

Subtract $10.50 from $12.30 and you will get 1.8.

Then divide 1.8 to 100 (because 100% = total) and you will get 0.018 which means 18%. Her hourly wage increased by 18%.

*I hope this helped :)

The percentage increase in Patti’s hourly wage will be 1.8%

What is the percentage?

The Percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.

It is given that Patti got a new part-time job. Her hourly wage increased from $10.50 to $12.39.

The percentage change will be calculated as:-

Subtract $10.50 from $12.30 and you will get 1.8. Then divide 1.8 by 100 (because 100% = total) and you will get 0.018 which means 18%. Her hourly wage increased by 18%.

Percentage change = ( 12.39 - 10.50 ) / 10.50

Percentage change = 1.89 / 100

Percentage change = 0.018 x 100 = 1.8%

Therefore, the percentage increase in Patti’s hourly wage will be 1.8%

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What was her speed?
The graph shows the relationship between the number of
minutes Maria spent jogging on a treadmill and the
distance she jogged.
Ty Miles on the Treadmill
9
8
0.1 mile per minute
05 mile per minute
5 miles per minute
10 miles per minute
Distance on miles)
5 10 15 20 25 30 35 40 45 X
Number of Minutes

Answers

0.1 mile per min

Step-by-step explanation:

lol i’m fye

The solution is,  her speed was, A) 0.1 mile per minute.

What is speed?

Speed is measured as distance moved over time. The formula for speed is speed = distance ÷ time. To work out what the units are for speed, you need to know the units for distance and time. In this example, distance is in metres (m) and time is in seconds (s), so the units will be in metres per second (m/s).

Speed = Distance/ Time.

here, we have,

Explanation:

From physics we know that distance, time and speed are related by the following equation:

Speed = Distance/ Time.

So we can write the distance as:

d = s*t

Here we have a line that passes through the origin and whose independent variable is t and dependent variable is d and the slope is s. From the graph, we can calculate the equation of the line as:

y = mx;

where, slope = m = y2 - y1 / x2 - x1

here, (x1, y1 ) = (0,0)

(x2, y2 ) = (10, 1 )

we get, m = 1/ 10

So:

y = x/10

or, y = 0.1 x

As you can see from the graph:

y is related to distance (d)

x is related to time (t)

Therefore, we can rewrite our equation as:

d = 0.1 t

Finally, the speed (s) is:

s = 0.1 per mile

again, we have,

The line goes through (0, 0), so Maria's speed is the ratio of miles to minutes:

 (4.5 mi)/(45 min) = 0.1 mi/min

hence, The solution is,  her speed was, A) 0.1 mile per minute.

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I need help with this question?

Answers

Answer:

[tex]x[/tex]=5

Step-by-step explanation:

in The Quadratic Function
f(x) = - 8 x2 + 32 x
At what value of X , The function will reach its maximum height?

Answers

Answer:

x=1/2

Step-by-step explanation:

can u pls help me with this question ​

Answers

Pretty sure it’s A! 10/7

Answer:

A

Step-by-step explanation:

A ratio is a comparison of two quantities(amounts), so if we show the comparison of 10 apples in the fridge to 7 apples on the table, the ratio being the number of apples in the fridge to the number of apples on the table, would be 10:7, 10 to 7, or 10/7

Write an equation in slope-intercept form for the line with slope -3 and y-intercept -1. Then graph the line.

Answers

Answer:

y=-3x+-1 or y=-3x-1; y intercepts(0,-1); x intercepts(0,1/3)

Step-by-step explanation:

y=mx+b

-1=-3*0+b

-1=0+b

(subtract 0 from both sides)

-1=b

So your equation will be: y=-3x-1

The equation of the line with a slope of -3 and y-intercept of -1 is given as y = -3x - 1. And the graph is shown below.

What is the linear system?

A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.

Write an equation in slope-intercept form for the line with slope -3 and y-intercept -1.

We know that the equation of the line is given as  

[tex]\rm y = mx +c[/tex]

Where m is the slope and c is the y-intercept. Then the equation will be

[tex]\rm y = -3x - 1[/tex]

Then the graph of the line is given below.

More about the linear system link is given below.

https://brainly.com/question/20379472

What is the value of m(7+9)n, when m = 0.5 and n = 2?

Answers

Answer:

16

Step-by-step explanation:

Plug things in then use PEMDAS:

m * (7+9) * n

= 0.5 * (7+9) * 2

= 0.5 * 16 * 2

= 16

Step-by-step explanation:

=m(7+9)n

putting value of m&n

=0.5(7+9)2

=8×2

=16 ans

hope u need this.

Velma has 300 stickers in her collection.57% of them are scratch and sniff. How many stickers are scratched and sniff

Answers

Answer:

171

Step-by-step explanation:

300*0.57=171

Answer:

129

Step-by-step explanation:

Tobin and me, the two of us, went down to Coney one day. There was four dollars between us. Tobin had need of distractions. Katie Mahorner, his sweetheart, of County Sligo, was lost since she started for America three months before. She had two hundred dollars of her own savings, and one hundred dollars from the sale of Tobin's inherited estate, a fine cottage and pig on the Bog Shannaugh. Since Tobin got the letter saying that she had started to come to him, not a bit of news had he heard or seen of Katie Mahorner. Tobin advertised in the papers, but nothing could be found of the girl.
adapted from "Tobin's Palm" by O. Henry

From which point of view is this passage written?
A.
Second person
B.
Third person omniscient
C.
First person
D.
Third person limited


please answer I really need help ( well I want to know if it is correct..)

Answers

I think this is written as third person Omniscient

Nikola buys a bouquet of 8 sunflowers for $18.What is the cost of 1 sunflower?

Answers

each sunflower is $2.25. please mark brainliest and have a great day.

find value of x of question number F ​

Answers

Answer:

X=17

Step-by-step explanation:

AC^2=AB^2 +BC^2(PYTHAGOREAN THEORM)

100=64 +BC^2

36=BC^2

6CM=BC

AD^2=AB^2+BD^2(PYTHAGOREAN THEORM)

X^2 =64+225

X^2=289

X=17

solve with substitution
y=2x+4
y= 4x-8

Answers

Y= 2x + 4
Substitute y=0
0= 2x + 4
Move variable to the left-hand side and change its sign
-2x=4
Divide both sides of the equation by -2
Answer: X = -2

Y=4x - 8
substitute y = 0
0= 4x - 8
Move variable to the left-hand side and change its sign
-4x = -8
Divide both sides of the equation by -4
Answer: x = -2

5+
= 2
3
What the integer that makes the following addition sentence true

Answers

Answer:3

Step-by-step explanation:

Just add the numbers backwards

Answer:

the answer is -3

Step-by-step explanation:

5+-3=2

5-3=2

Find the slope of the line on the graph

Answers

Answer:

y = -1

Step-by-step explanation:

there is no slope, so the slope is 0

If €1 equals 72 pence how much is €410 in pounds

Answers

Answer:

=29520pence

Step-by-step explanation:

€1 = 72 pence

So

€410=410×72

=29520pence

Help please ten points I’ll mark brailiest

Answers

KJ, IK, HI, HK, then HJ

i think this is it. hope it helps!! :)

0.5*0.6 equivalent expression

Answers

If i understand what you're asking then,

0.5*0.6 = 0.3

so you need to find any other thing that would also = 0.3

examples could be:

3/10 = 0.3

0.1+0.2 = 0.3

0.6-0.3 = 0.3

1.0-0.7 = 0.3


How much did Kay deposit in cash and coins?

Answers

Answer:

c

Step-by-step explanation:

Answer:

C $93.44

Step-by-step explanation:

Just took the test on EDG

How do you find the area and perimeter of a rectangle. And how do you find the area and perimeter of a square?

Answers

Answer:

The perimeter of a rectangle is P = 2 b + 2 h , where is the base (or width) and is the height (or length). If a rectangle is a square, with sides of length , the formula for perimeter is P s q u a r e = 2 s + 2 s = 4 s and the formula for area is A s q u a r e = s ⋅ s = s 2

Step-by-step explanation:

Simplify the expression.
t + 2 + 6t =

Answers

The answer i got is:
5t+2

Street H is perpendicular to the line 2x –3y = –4 and goes (0, –6). Write this street’s equation in standard form.

Answers

Answer:

I think its 68 + 1 = 69

Step-by-step explanation:

a bag of sugar hasa mass of 2kg write an expressions for the mass of n bags of sugar (in kg)

Answers

Total mass (in kg) =2n
the mass is 2*n (kg)

The side of a square is Two raised to the seven halves power inches. Using the area formula A = s2, determine the area of the square.

Answers

Answer:

Step-by-step explanation:

Area of a square = s²

s is the side length of the square

Given

s = 2^{7 1/2}

s = 2^15/2

Area = ( 2^15/2)²

Area = 2^15

Hence two area of the square is 2^15 inches

Answer:

A = 128 square inches

Step-by-step explanation:

A square is a figure with equal length of sides.

Given a square of side, s, [tex]2^{\frac{7}{2} }[/tex] inches.

Area of a square, A = length of side x length of side

                            = s x s

                            = [tex]s^{2}[/tex]

Thus,

A = [tex]s^{2}[/tex]

   = [tex](2^{\frac{7}{2} } )^{2}[/tex]

   = [tex]2^{\frac{14}{2} }[/tex]

   = [tex]2^{7}[/tex]

   = 128

A = 128 square inches

The are of the square is 128 square inches.

2. A drop of blood was found spattered on the carpet.
a) There are approximately 5 million red blood cells in one cubic millimetre of the spattered blood. Express
(2 mar
5 million in standard form.About calculation​

Answers

Step-by-step explanation:

5million = 5000000 = 5 x 10^6

Topic: Unit conversion

If you like to venture further, do check out my insta (learntionary) where I constantly post math tips! Thanks!

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