Identify which is a hypothesis or a conclusion. A polygon is a rectangle. The polygon has four congruent angles

HELP!!!

Jobisdone [24]

Answer:

$16$ is the number of quarters and $14$ is the number of dimes

Step-by-step explanation:

we know that

$1\ dime=\$0.10$

$1\ quarter=\$0.25$

Let

x-----> the number of dimes

y------> the number of quarters

we know that

$0.10x+0.25y=5.40$ -----> equation A

$x+y=30$ ----Isolate the variable y

$y=30-x$ -----> equation B

Substitute equation B in equation A

$0.10x+0.25(30-x)=5.40$

$0.10x+7.5-0.25x=5.40$

$0.25x-0.10x=7.5-5.40$

$0.15x=2.1$

$x=14\ dimes$

Find the value of y

$y=30-x$

$y=30-14=16\ quarters$

therefore

$16$ is the number of quarters and $14$ is the number of dimes

8 0

3 years ago

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Which value of b would make 16x²-bx + 25 a perfect square trinomial?

blondinia [14]

Answer:

b = 40 and -40

Step-by-step explanation:

General form of Perfect square trinomial is a 2 + 2 a b + b 2

Therefore from 16 x 2 − b x + 25 a 2 = √ 16 x 2 , b 2 = 25 , then a = ± 4 x , b = ± 5 take consideration a=4x and b=-5 (different sign), then − b x = 2 ( 4 x ) ( − 5 ) − b x = − 40 x b = 40

The perfect square is ( 4 x − 5 ) 2 = 16 x 2 − 40 x + 25 .

if we consider a=4x and b=5 (same sign), then − b x = 2 ( 4 x ) ( 5 ) − b x = 40 x b = − 40

The perfect square is ( 4 x + 5 ) 2 = 16 x 2 + 40 x + 25 .

The first solution ( 4 x − 5 ) 2 is the best solution after comparing the expression given. I hope this helps, xx .

8 0

3 years ago

Select the correct difference. -3z 5 - (-7z 5) (A)-10z5 (B)-4z5 (C)4z5 (D)4z

kogti [31]

Answer:

Correct choice is (C). $4z^5$ .

Step-by-step explanation:

Given expression is $-3z^5-\left(-7z^5\right)$ .

Now we need to simplify that then select the correct difference value from the given choices.

$-3z^5-\left(-7z^5\right)$

negative times negative is positive

$=-3z^5+7z^5$

Combine like terms because variable z has same exponent.

$=(-3+7)z^5$

$=4z^5$

Hence correct choice is (C). $4z^5$ .

8 0

3 years ago

Solve using elimination PLEASE I NEED HELP!!! IT WOULD REALLY MEAN A LOT IF ANYONE CAN ANSWER THIS! 16 POINTS!!!

Marysya12 [62]

Answer:

(x, y) = (2, -3/4)

Step-by-step explanation:

The point of the "elimination" technique is to combine the equations in a way that eliminates one of the variables. Sometimes this involves multiplying one or both of the equations by constants before you add those results together. In any event, the first step is to look at the coefficients of the variable terms to see if there is a simple combination of them that will result in zero.

The y terms have coefficients that are opposites of each other (4, -4), so you can simply add the two equations to eliminate y as a variable.

(2x +4y) +(x -4y) = (1) +(5)

3x = 6 . . . . . simplify

x = 2 . . . . . . divide by 3

Now, you find y by substituting this value into one of the equations. I would choose the equation with the positive y-coefficient:

2(2) +4y = 1

4y = -3 . . . . . . subtract 4

y = -3/4

Then the solution is ...

(x, y) = (2, -3/4)

_____

A graphing calculator confirms this solution.

4 0

3 years ago

What is 21 divide by 21

user100 [1]

Answer:

it is 1

Step-by-step explanation:

3 0

3 years ago

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