Help? Show work!
Triangle PQR ≅ Triangle XYZ
PQ = 3a + 4 and XY = 5a – 12. Find a and PQ.

Step-by-step explanation:

We need to find each of the following as a rational number in the form of p/q

(a) (3/7)²    (b) (7/9)³  (c) (-2/3)⁴

Solution,

(a) (3/7)²

[tex](\dfrac{3}{7})^2=\dfrac{9}{49}[/tex]

(b) (7/9)³

[tex](\dfrac{7}{9})^3=\dfrac{7\times 7\times 7}{9\times 9\times 9}\\\\=\dfrac{343}{729}[/tex]

(c) (-2/3)⁴

[tex](\dfrac{-2}{3})^4=\dfrac{-2\times -2\times -2\times -2}{3\times 3\times 3\times 3}\\\\=\dfrac{16}{81}[/tex]

Hence, this is the required solution.

Answer:

[tex](-1)(x+3)(x-2)[/tex]

Step-by-step explanation:

Factoring

We are given a trinomial:

[tex]-x^2-x+6[/tex]

The following steps are done to factor the trinomial.

1. Confirm there are no common factors: No common factors (given)

2. Factor out -1:

Multiply all the terms by -1 and take -1 out:

[tex]\boxed{(-1)(x^2+x-6)}[/tex]

3. Factor

[tex]x^2+x-6 = (x+p)(x+q)[/tex]

We have to find two numbers p and q whose product is -6 and the sum is 1. Those numbers are 3 and -2 (in any order):

Factoring:

[tex]x^2+x-6 = (x+3)(x-2)[/tex]

The final factoring is:

[tex]\boxed{(-1)(x+3)(x-2)}[/tex]

Answer:

Multiple answers would work

Step-by-step explanation:

From the subtraction sign before the 18x, we can infer that one of the equations has a negative number. So, know we have this:

(x-?) (x+?)

There are multiple answers this could be,

(x-18) (x)

(x-20) (x+2)

You get where I am going...

If you went with the first on (x-18) (x), then you wouldn't have to add anything.

(x-20) (x+2) = x^2 - 18X - 40.

To be honest this one stumped me. Some just have multiple answers. My guess is that you have to fill out the boxes so maybe the first answer wouldn't work.

Sorry I couldn't give a concise answer. Though their probably is one obivious answer that I am missing.

Answer:

I think its 16, 32, or 36.

Step-by-step explanation:

Because I set it up like 2/100 = x/18 and then do the math

Answer:

47

Step-by-step explanation:

the lines are parrele which explains

why its 47

Answer:

Zero slope is the answer

Answer:

The answer is y = -2x .....

Answer:

y=2

Step-by-step explanation:

This line is horizontal because it just crosses the y-axis at 2.

The picture shows what the graph would look like. The dark purple dot on the line is where the coordinate 2 is

Answer: x = -2

Step-by-step explanation:

5(3y -5) -4y = -14

15y - 25 - 4y = -14

11y - 25 = -14

11y = 11

y = 1

5x - 4(1) = -14

5x - 4 = -14

5x = -10

x = -2

Answer:

x = -2

Step-by-step explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Point Form:

( − 2 , 1 )

Equation Form:

x  =  − 2 ,  y  =  1

Answer:

I need to empty 2 bottles to get Medicine A to 98% of the total bottles

Step-by-step explanation:

The first step is to find out what 99% of 200 is. This will give us how many bottles of "Medicine A"  are present.

99% of 200 is 198. This means that there are 198 bottles of Medicine A present.

The next step is to find out what 98% of 200 is. This will give us the number of bottles of "Medicine A " that will be left remaining.

98% of 200 is 196. There neede to be 196 bottles left after I have taken out and emptied a few bottles of Medicine A.

The last step is to subtract 196 from 198 bottles, to get the number of bottles that I need to empty.

This will be 198 - 196 = 2 bottles

I need to empty 2 bottles to get Medicine A to 98% of the total bottles

20 i think

Step-by-step explanation:

if it was 100 it would be 10. 100x2=200. thats how i got 20

Answer:

Yeah he's right...

Step-by-step explanation:

Answer:

3/8

Step-by-step explanation:

there are 3 friends even if it wasn't evenly eaten there was 3 slices left over which means it's 3/8

Answer:

8 5/8 ounces

Step-by-step explanation:

Given that:

Weight of puppy = 2 7/8 pounds

Puppy is being fed 3 ounces of food for each pound it weighs

Ounces of food being fed :

1 pound = 3 ounces

2 7/8 pounds =?

2 7/8 * 3

23/ 8 * 3

= 69/ 8

= 8 5/8 ounces

9514 1404 393

Answer:

  -37/24

Step-by-step explanation:

We know that 1/6 = 0.166666..., so 1.541666... = 1.54 + 1/600.

Your fraction is ...

  -154/100 -1/600 = -925/600 = -37/24

Answer:

It is A

Step-by-step explanation:

You have 4 muffins or 4m with a 2 dollar off coupon so therefore it is 4m-2

Answer:

4m-2

Step-by-step explanation:

The cost, m, is subtracted by 2. There are 4 muffins being bought, so the term would be 4m, making the equation 4m-2.

Answer:

80

Step-by-step explanation:

Answer:

11/2

Step-by-step explanation:

Sum of angles in a triangle = 180°

84 + x +59 +x + 31 =180°

84+54+31+x+x = 180°

169 + 2x = 180°

2x = 180 - 169

2x = 11

x = 11/2

Answer:

105°

Step-by-step explanation:

The given angles are vertical and congruent , then

8x - 21 = 6x + 3 ( subtract 6x from both sides )

2x - 21 = 3 ( add 21 to both sides )

2x = 24 ( divide both sides by 2 )

x = 12

Then

6x + 3 = 6(12) + 3 = 72 + 3 = 75°

Supplementary angles sum to 180° , thus

supplementary angle = 180° - 75° = 105°

Answer:

3rd ome

Step-by-step explanation:

Answer:

The answer is a

Step-by-step explanation:

please I beg next time post a clear picture

the answers are not clear

Answer:

The point (-5, 6) is located in the second quadrant

Step-by-step explanation:

Answer:

The second quadrant.

Step-by-step explanation:

To plot (-5, 6), we move back 5 units, and up 6, this places us in the second quadrant. Look at the image attached for a labeled coordinate plane.

Answer:

18 minutes

Step-by-step explanation:

if you divide 109 by 6, ya get 18.166666-

Answer:

a.) 94 cm^2

Step-by-step explanation:

3 x 4 = 12

5 x 3 = 15

4 x 5 = 20

12 + 12 + 15 + 15 + 20 + 20 = 94

Answer: 94 cm squared

Step-by-step explanation:

Answer: A(-1,5)B(-7,7)C(-6,5)

Step-by-step explanation: the translation subtracts 5 from each x value and adds 4 to each y value.

Step-by-step explanation:

Let x be the number of hours Maria work per week.

We have 0.75 * $4.76x - $25 >= $100.

Therefore 0.75 * $4.76x >= $125,

$4.76x >= $166.66

x >= 35.014

Hence Maria have to work at least 36 hours per week.

Answer:

The answer would be B

Step-by-step explanation:

A non-square rhombus. A non-square rhombus (also known as a rhombus) is different from a square with respect to its internal angles. Unlike a square, a non-square rhombus does not have all its internal angles equal to 90°. The number of lines of symmetry in a non-square rhombus is 2, whereas, a square has 4 lines of symmetry.

The required counterexample is rhombus for the given hypothesis "All parallelograms are rectangles" which is the correct answer would be option (B).

In statistics, hypothesis testing is the process by which an analyst tests an assumption about a population's parameter. Using sample data, hypothesis testing is performed to examine the plausibility of a theory.

A rhombus that isn't square. In terms of internal angles, a non-square rhombus (also known as a rhombus) differs from a square. A non-square rhombus, unlike a square, does not have all of its internal angles equal to 90°. A non-square rhombus has two lines of symmetry, whereas a square has four lines of symmetry.

Therefore, the required counterexample is rhombus for the given hypothesis "All parallelograms are rectangles"

Hence, the correct answer would be an option (B).

To learn more about the hypothesis here:

https://brainly.com/question/18064632

#SPJ6

Answer:

11.85 deciliters

Step-by-step explanation:

11.85 deciliters

Answer:

0.7

Step-by-step explanation:

Answer:

x=4/25

or x=1.028114

or x= 128

Step-by-step explanation:

Answer:x= 128

Step-by-step explanation:

Subtract 3 from both sides of the equation /8+3=19

x/8+3=19

/8+3−3=19−3

Simplify

x/​8=16

Multiply all terms by the same value to eliminate fraction denominators

8x x/8=8x16

Simplify

X=128

Answer:

y=-3

Step-by-step explanation:

2y+3y=4−6−13

2y+3y=4+−6+−13

(2y+3y)=(4+−6+−13)

5y=−15

5y=−15

y= −3

Answer:

y = -10

Step-by-step explanation:

You add 2y and 3y, you'd get 5y from it. You do 4-6-13 which is -15.

So 5y = -15.

You subtract 5 from the y side and add 5 to the -15.

So basically:

5y = -15

-5 & +5

y = -10

Answer:

There is no x intercept

Step-by-step explanation:

Answer:

no x intercept

Step-by-step explanation:

it is parallel with the x axis. They will never touch