Which of the following expressions are equivalent to the one above ? Check all that apply

Answer:

Answer is explained in the explanation section

Step-by-step explanation:

Solution:

Converse of the pythagorean theorem helps us to check whether a triangle is a right triangle or not. Converse of the pythagorean theorem is simply the opposite of the pythagoren theorem. Pythagorean theorem states that, if triangle is right triangle, then [tex]a^{2} + b^{2} = c^{2}[/tex]. On the other hand, Converse of the Pythagorean theorem states that, if  [tex]a^{2} + b^{2} = c^{2}[/tex], then triangle is a right triangle.

Pythagorean theorem = [tex]c^{2} = a^{2} + b^{2}[/tex]

Converse of the pythagorean theorem = [tex]a^{2} + b^{2} ? c^{2}[/tex]

First of all let's check the first triangle is right triangle or not.

a = 12

b= 16

c= 20

So,

[tex]a^{2} + b^{2} = c^{2}[/tex].

144 + 256 = 400

400 = 400

Yes, 1st triangle is no doubt a right triangle. On the other hand, we are given that 2nd triangle = right triangle as we are given the 90 degree angle already. Here, we know that triangle is a right triangle

hence, [tex]a^{2} + b^{2} = c^{2}[/tex]. will surely be there.

Now, we have find out the side opposite to the 90 degrees angle, which is c.

we also know that, right triangles sides follow the pattern of 3x,4x and 5x

Since, c is the longest side.

Hence, c= 5x

Answer:

2730 ways

Step-by-step explanation:

Given that,

There are 15 eligible candidates for these positions.

The newly elected president needs to decide the remaining 3 spots available in the cabinet he/she is appointing.

It is a concept based on permutations.

[tex]P(n,r)=\dfrac{n!}{(n-r)!}[/tex]

Put n = 15 and r = 3

[tex]P(15,3)=\dfrac{15!}{(15-3)!}\\\\=\dfrac{15!}{12!}\\\\=\dfrac{15\times 14\times 13\times 12!}{12!}\\\\=15\times 14\times 13\\\\=2730[/tex]

Hence, 2730 ways can the members of the cabinet be appointed

Answer:c

Step-by-step explanation:

Answer:

more people said they do not watch sports

Step-by-step explanation:

Becasue 52 percent say they dont watch

Answer:

The Answer Would Be $420

Step-by-step explanation:

time 7 by 10 and get 70,

times 70 by 6 to get your final answer of $420

Answer:

88%

Step-by-step explanation:

25*4=100. this means we have to multiply 22*4, which gets us 88%

Answer:

0.88%

Step-by-step explanation:

25 divided by 22

The correct statement which satisfies the given condition will be that Olivia does not work with Nicole so option (B) will be correct.

the procedure of utilizing logical reasoning to analyze a condition to determine the best problem-solving approach for a particular issue, then using this approach to create and explain a resolution.

In another word, the reasoning is a tricky but interesting problem in mathematics that required relations of variables to solve.

Given that Olivia does not wear a blue uniform.

All co-workers wear blue uniform

It mean olivia doest not work with Nicola.

Hence  Olivia does not work with Nicole will be the correct answer.

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Answer:

270 items

Step-by-step explanation:

Answer:

270 of them were not jackets dresses or shoes

Step-by-step explanation:

Answer:

Step-by-step explanation:

y=kx

(5,1)

1=k*5

1/5=k*5/5

1/5=k

The constant of proportionality between y and x in this graph is  

1/5

Answer:

The slope is undefined

Step-by-step explanation:

as - 4-2/-8-(-8)

Is - 6/0

Answer:

y = 1.5x

Step-by-step explanation:

An equation that represents a proportional relationship can be written as y = kx.

Where,

k = constant of proportionality or unit rate = y/x

Using a pair form the table of values, say (-2, -3),

k = y/x = -3/-2 = ³/2 = 1.5

Substitute k = 1.5 into y = mx

The equation that represents the table would be:

y = 1.5x

The proportionality constant is 2/3 and the required equation is y = 2/3x

The standard equation of a line is expressed as y = mx + b

where:

m is the slope of the line

b is the intercept

From the given question, we are to find the rate of change (slope) from the give  table.

USing the coordinate points from the table (-2, 0) and (-3, 0)

Also recall that;

y = kx

-2 = k(-3)

k = 2/3

Hence the proportionality constant is 2/3 and the required equation is y = 2/3x

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9514 1404 393

Answer:

  45°

Step-by-step explanation:

Arc YZ is the difference between the given arcs and 360°:

  126° +144° +YZ = 360°

  YZ = 360° -270° = 90°

The inscribed angle (?) is half the measure of the arc it intercepts:

  ? = 90°/2

  ? = 45°

Answer:

Alternate interior angles or

Congruent

Step-by-step explanation:

Angle 3 and angle 6 are alternate interior angles

Alternate interior angles are congruent

Answer:

Find the exact value of tan 45º = 1/1 = 1.

Find the exact value of cos 30º = √3/2.

Find the exact value of csc 60º = 2√(3)/3

Step-by-step explanation:

math

Answer:

90%

Step-by-step explanation:

50 x 2 is 100

40 x 2 is 80

5 x 2 is 10

80 +10 = 90

Answer: The horizontal value in a pair of coordinates how far along the point is. The X Coordinate is always written first in an ordered pair of coordinate (x,y), such as (12, 5).

Step-by-step explanation: Hope This Helps :)

For a example, the value 12 is the X coordinate. And Also called Abscissa.                              

Answer:

b. h>-4

Step-by-step explanation:

Remember solving a inequality is similar to solving an equation, to do so you need to isolate the variable.

[tex]\frac{3}{2}h+12\geq 6[/tex]

To solve first subtract 12 from both sides

(3/2)h>-6

Then, multiply both sides by (2/3)

h>-4

Answer:

line X

Step-by-step explanation:

Answer:

oh! I once had this, the answer is a number that is divisible by 6 is also divisible by 2 and 3 because 2 and 3 are factors of 6.

Answer:

1

Step-by-step explanation:

The answer is 1 because of the triangle inequality theorem. In order for the shape to be a triangle, two of the sides need to be smaller than one. The two sides we know of is n, n is equal to an integer greater than 1. So, in order for the triangle to be a triangle, the third side has to be at least 1. I also had the same question on my assignment.

Answer:

man did you ever find out the answer bc I'm dying I cannot fail this test-

Answer:

12.9

Step-by-step explanation:

it is common sense

also i just took test

The percentage of 7th grade class who has missed at least a day of school is 60 percentage.

What is percentage?

A percentage is a number or ratio expressed as a fraction of 100.

It is usually represented by using the symbol %

Given data ,

Fraction of 7th grade class that missed at least one day of school = 3 / 5

Now , to calculate the percentage of 7th grade that has missed at least one day of school , we multiply the fraction by 100

Therefore , Percentage = 3 / 5 x 100 %

                                       = 3 x 20 %

                                       = 60 %

Hence , the percentage of 7th grade class who has missed at least a day of school is 60 percentage.

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Answer:

yess!!

Step-by-step explanation:

''-''

Answer:

where are questions

Step-by-step explanation:

Answer:

45

Step-by-step explanation:

because it increases by 45 each hour

sorry i was late

:(

Answer:

1: It places them in an order sequentially relative to each other.

2: Number lines show the location of a number relative to each other on a one dimensional plane, and a coordinate plane does the same on two axis, or a two dimensional plane.

3: The order of the numbers do matter because the first one is the x coordinate and the second is the y. We nee a point of reference so we aren't able to make it so a single point can be represented by multiple ordered pairs, and vice versa so we can accurately share the information without additional interpretation.

4: (4.75, 2.25) Because to move across the x axis is to move in a direction perpendicular to it, meaning only the y coordinate will change. To be mirrored, it has to be copied and the absolute value of y (from both the x and y axis) must be maintained, just moved into the quadrant above or below it.

5: It is 7 units because the original coordinate would be 3.5 (as explained previously), and to move all the way to -3.5 you would need to cover the first 3.5 units to get to y=0, and then another 3.5 units down to get to y=-3.5. This is a total of 7 units moved.

Step-by-step explanation:

Answer:

180 miles

Step-by-step explanation:

1. Use the drt (distance, rate, time) triangle (shown in the picture) to determine which operation you need to do.

You are given t (time) and r (rate), but you don't have d (distance). What you do is cover up the missing variable d (distance). Since you are left with t and r (time and rate), which are side by side, you multiply the numbers.

2. Plug in the numbers for t and r. Then multiply.

t=3

r=60

3 x 60 = 180 miles