2)
Apply the Pythagorean Theorem to determine the correct statements.

A) If the sides of a right triangle are of length 8 and 15, its hypotenuse is 17.
B) If the sides of a right triangle are of length 7 and 24, its hypotenuse is 35.
C) If the sides of a right triangle are of length 9 and 40, its hypotenuse is 41.
D) If the sides of a right triangle are of length 21 and 28, its hypotenuse is 36.
E) If the sides of a right triangle are of length 12 and 16, its hypotenuse is 20.

Answers

Answer 1

Answer:

A, C, and E are true.

Step-by-step explanation:

These are all done the same way.

Look at (A). If the statement is true, then 8² + 15² = 17², because the Pythagorean theorem says that if you square the lengths of the two shorter sides of a right angle, their sum will equal the square of the longest side: a² + b² = c².

8² = 64.  15² = 225. So 8² + 15² = 64 + 225 = 289.

So if the statement is true, then 289 = 17².

And yes 17² = 289, so the statement is true.

On the other hand, (B) is false. 7² + 24² = 49 + 576 = 625

But the third side squared, 35² = 1225, not 625.


Related Questions

What is the answer to this question it is urgent

Answers

the answer is D scnagntwhwth

Can someone help with 8 and 9

Answers

Answer:

8: 12d

9: 7.50n+6

Pythorgorean Theorem ​

Answers

Are you sure it is Pythorgoren theorem because I was search for the answer but I could not find the answer this all it shows me

* A Frog sits on a number line at point −10. It is allowed to make up to 4 jumps. First, it can make a jump of 8 units in either direction, or it can skip this jump. Then, it can make a jump 4 units long or skip this jump. Then, it can make a jump 2 units long, or skip this jump. And, finally, it can make a one-unit jump or skip it. Where can it be at the end? Answer: The possible numbers where frog could be are from

Answers

Answer and explanation:

Assuming the frog jumps from -10 for all jumps, if the frog decides to make all 4 jumps then :

8 units jump= -2 or -18

4 units jump= -6 or -14

2 units jump= -8 or -12

1 unit jump = -9 or -11

If the frog decides to make one jump then skip the others then:

Either it makes 8 units jump= -2 or -18

Or 4 units jump= -6 or -14

Or 2 units jump= -8 or -12

Or 1 unit jump = -9 or -11

If it decides to make 2 jumps and skip the others then:

Either it makes 8 units jump= -2 or -18

and 4 units jump= -6 or -14

Or 2 units jump= -8 or -12

and 1 unit jump = -9 or -11

Or any other mix of units of jump twice

If it decides to make 3 jumps and skip the others then:

Either it makes 8 units jump= -2 or -18

and 4 units jump= -6 or -14

and 2 units jump= -8 or -12

Or 1 unit jump = -9 or -11

and 4 units jump= -6 or -14

and 2 units jump= -8 or -12

Or any other mix of 3 jumps

If it decides to make no jump at all then the frog would remain at -10

solve the equation for all values of x by completing the square
[tex] {x}^{2} - 35 = - 2x[/tex]

Answers

Answer:

x=5  x= -7

Step-by-step explanation:

X=5
X=7
Hope that it is right

the product of lisa and her twin brother is 36 and their sum is 36 how old can lisa be

Answers

Answer:

6 years old

Step-by-step explanation:

Since her twin brother is the same age as her, you are looking for two equal factors whose product is 36. The square root of 36 is 6, so the answer is they are both 6 years old.

pls help me with this asap you dont have to give a big explanation i mostly need the answer

Answers

Answer:

because 3 spheres is inside the cylinder and they are placed close together

=> The height of the cylinder is 3 times the diameter

=> the height is 18cm

the volume of the cylinder is 3,14.18.(6/2)² = 508,68

because 3 spheres have the same diameter

=> the volume of 3 spheres is 4.3,14.3³ = 339,12

=> the volume of the cylinder that is left empty is 508,68 - 339,12 = 169,56

Step-by-step explanation:

Answer:

The answer is 508,68

Step-by-step explanation:

Since the volume of the cylinder is equal to the area of the permanent base multiplied in the height

Since the radius of the base is equal to 3 and since the area of its cylinder is equal to

[tex]314 \times 3 \times 3 = 28.26[/tex]

When the height equal to 18

Then the volume equal to

[tex]28.26 \times 18 = 508.68[/tex]

Which values for x, y, and z satisfy the equation 7xy/z=28

Answers

Answer:

try x= 4z/y

Step-by-step explanation:

[tex]32/8 = 40/h[/tex]

Answers

If you are solving for h the answer is 10
First you reduce the fraction with 8 so your get
4=40/h
Then you multiply both sides by h and you get
4h=40
After that you divide both sides by 4
And your answer is
h=10

please help me!! it's due in 10 mins and I don't understand it!!​

Answers

Answer:

J probably

Step-by-step explanation:

When multiplying the rectangle's sides by 1.5 you get the rectangle F.

When multiplying the sides by 1/4 you get G.

When multiplying by 1.25 you get H.

To get J, you would need to muliply 8 by 1.25 and 2 by 2. There is no scale factor that would result in the rectangle ABCD turning into J.  

In Kelsey’s pencil case, she has 2 highlighters for every 7 pencils. What is the ratio of pencils to highlighters?

Answers

Answer:

7:2

Step-by-step explanation:

Answer:

7:2

Step-by-step explanation:

PLEASE HELP!!!!
Which of these shapes is congruent to the given shape?
ОА
ов.
О С.
OD

Answers

The answer would be D

The shape congruent to given figure is Figure 4.

Option D is correct.

What is congruency?

Congruent figures have sides that are the same length and angles that are the same measurement. In other terms, two figures are said to be congruent when they are superimposed upon one another. Even when they are flipped or rotated, they perfectly fit on top of one another.

We have a figure which is similar to parallelogram.

First, figure is seems to be rectangle and do not have same unit measurement which is not Congruent.

Now, the second has more width than given figure.

Now, Third figure is also a rectangle and cannot be congruent.

Now, the fourth figure is similar to given figure.

Learn more about Congruency here:

https://brainly.com/question/7888063

#SPJ7

Which does NOT represent the interior angle measures of a triangle?
O A. 5°, 75°. 100°
B. 10°,80°, 90°
OC. 20°, 60°, 100
O D. 45°, 45°, 45.
ос
E 50°, 509,80"

Answers

Answer:A

Step-by-step explanation:

Interior angles of a triangle ALWAYS have to be equal to 180

The sum of A is 180, however, those angles wont work because they have to be more close to eachother for it to be possible

The Triangle Inequality Theorem states the longest side must be shorter than the sum of the other 2 sides

E since the sum of interior angles for a triangle is equal to 180 degrees.

-6x+y=4
-y-2x=4

Please Solve these in
Y=mx+b form! I’m stuck...

Answers

y = mx + b


1.) -6x + y = 4

Move variable x over to the other side by adding 6x.

y = 6x + 4

2.) -y - 2x = 4

Move variable x over to the other side by adding 2x.

-y = 2x + 4

Divide the whole thing by -1 because y needs to be positive and alone.

y = -2x - 4

Simplify the expression -2 (x + 4 + 5y).

Answers

-2x-8-10y hope that helps

Answer:

I love algebra anyways  

the ans is in the picture with the steps  

(hope it helps can i plz have brainlist :D hehe)

Step-by-step explanation:

A teacher polled her students and determined 37 liked math and 44 liked history.
She has a total of 180 students. If there are 3000 students in the whole school. How
many students could you infer like something other than math and history.

Answers

Answer:

I’m pretty sure it’s 2919 students

Step-by-step explanation:

Ok 37-math

44-history

180 total students

99 students in the total didnt like them

3000 students in school.

-180

2919 students

What is the equation of a line perpendicular to y= 3x +6 that crosses the ordered pair (3,2).
(Hint: a line perpendicular to an equation has an opposite reciprocal slope)

Answers

Answer:

y=-[tex]\frac{1}{3}[/tex]x+3

Step-by-step explanation:

Adam has 3 coins in his pocket and they are all different from each other. Ben has 3 coins in his pocket and they are all the same as each other. Adam has half as much money as Ben.
What are the coins they each have?

Answers

Answer:

The possible coins are:

P = penny = $0.01

N = nickel = $0.05

D = dime = $0.10

Q = quarter = $0.25

H = half dollar = $0.50

We know that Adam has 3 coins in his pocket, and all of them are different, then the money that Adam has can be represented with (A + B + C)

Behn has 3 coins, and all of them are the same, then if his coin has a value X, he has a total of 3*X

We know that Adam has half as much money as Ben, this can be written as:

(A + B + C) = 3*X/2

The easier way to solve this, is to play with different values of X, and see if we can find the values of A, B and C.

For example, if X = $0.10

then:

(A + B + C) = $0.10*(3/2) = $0.15

We can find 3 different value of coins for this equation? No, we cant, so X = $0.10 is also discarded.

if x = $0.50 then:

(A + B + C) = (3/2)*$0.50 = $0.75

Here we could have:

A = $0.50

B = $0.25

then: A + B = $0.75

But we still have the coin C.

If we take X = $0.25 then:

(A + B + C) = (3/2)*$0.25 = $0.375

We could round the right part to $0.40

then the coins in the left part would be:

A = $0.25

B = $0.10

C = $0.05

A + B + C =  $0.25 + $0.10 +  $0.05 = $0.40

This is a strech, but is the only thing we can make with the given problem.

please answer both of these and show or tell me all your work

Answers

Answer:

5. 1:6 2/5

6. 1:5

Step-by-step explanation:

5. each time in the table you multiply H by 6 2/5 ex.

column 4 , 100x6=600, 2/5 of 100 = 40 and the total is 640, so the contant of proprtionality is 6 2/5

6. in the table there is a point on 2:10 and can be simplified to 1:5 so for every minute 5 gallons of water will be used

hope this helps sorry if this inst what your looking for have a blessed day :)

3b) Determine the value of the unknown.
7:12 = 21:
Your answer
This is a required arection

Answers

Answer:

Step-by-step explanation:

Consider the function below.
5y=18^x+9
Complete the statement below to describe the given function. They y-intercept of the function is (___). The graph of the function initially (___) and then (___).

First blank answers:
(2,0)
(0,2)
(-2,0)
(0,-2)

Second blank answers:
Increases rapidly
Increases slowly
Decreases rapidly
Decreases slowly

Third blank answers:
Increases slowly
Decreases rapidly
Decreases slowly
Increases rapidly

Answers

Answer:

(0,2), increases slowly, increases rapidly

Step-by-step explanation:

I just took the test

g/4=6

what does g equal also the g/4 is supposed to be a fraction

Answers

Answer:

1.5

Step-by-step explanation:

G/4=6

Multiply 4 my both sides

G=24

Hope this helps

In a bag there are blue sweets, red sweets and yellow sweets. The number of blue sweets is four times the number of yellow sweets. The number of red sweets is half the number of yellow sweets. Find the percentage of sweets in the bag that are yellow.

Answers

Answer:

18.18%

Step-by-step explanation:

The percentage of sweets in the bag that are yellow is as follows:

Let us assume the number of yellow sweets be x

So for number of blue sweets be 4x

And, the number of red sweets be 0.5x

So it could be written as

Blue Red Yellow

4        0.5    1

8        1        2

So for yellow, the percentage is

= 2 ÷ (8 + 1 + 2)

= 2 ÷ 11

= 18.18%

What is the slope of the line on the graph

Answers

Answer:

The slope is 6

Step-by-step explanation:

The rise is 6 and the run is 1. 6/1

the slope is 6 hope this helps

Determine two pairs of polar coordinates for the point (5, -5) with 0° ≤ θ < 360°

Answers

Answer:

Step-by-step explanation:

x=5

y=-5

Hence it lies in 4th quadrant.

x=r cos θ

5=r cos θ  ...(1)

y=r sin θ

-5 =r sin θ  ... (2)

square and add

(5)²+(-5)²=r²(sin ²θ  +cos ²θ  )

r²=25+25=50

r=±5√2

dividing

tan θ=-5/5=-1=-tan 45°=tan (180-45),tan(360-45)

θ=135°,315°

so polar coordinates are (5√2,315°) and (-5√2,135°)

X=5 Y=-5 is the answer I think?

can you help me please ​

Answers

Answer:

GFKSKKGKKSFG

Step-by-step explanation:

The student council at Eleanor Roosevelt High School is taking a survey of student opinions on this year's homecoming theme. To decide who to survey, the council creates a master alphabetized list of names from every student in the school, then selects every 20th student from the list. Will the results of this survey be valid? Why or why not?

yes, because a random sample is taken from all of the student body

yes, because the survey will include all of the seniors

no, because the survey will include freshman

no, because the survey will not include members of the faculty

Answers

No because the survey will not include Keebler’s of faculty

Answer:

no, because the survey will not include members of the faculty

Terry rides his bike to work. It
takes him 40 minutes to go 7
miles. What is Terry's rate per
hour?(** how many minutes in
an hour**)

Answers

Answer:

10.5 is the answer

Step-by-step explanation

[tex]\frac{40}{7}[/tex]=[tex]\frac{60}{?}[/tex]

40x1.5=60

7x1.5=10.5

Answer:

10.5

Step-by-step explanation:

Which expression is the same as 9÷4?

Answers

Answer:

4x2.25

Step-by-step explanation:

mark brainliest please

2x4.5 yes yes yes eydbbfnfkrnfnf

area of a isosceles triangle

i will make as brainliest whoever answers

Answers

Answer:

145cm is the area I believe.

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