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2 years ago

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The image of trapezoid PQRS after a reflection across Line W Y is trapezoid P'Q'R'S'. 2 trapezoids are shown. Line W Y is the li

ne of reflection. Line segment R R prime has a midpoint at point Z. Line segment S S prime has a midpoint at point X. What is m? 45º 90º 180º 270º

2 answers:

RoseWind [281]2 years ago

3 0

Answer:

90

Step-by-step explanation:

harina [27]2 years ago

3 0

Answer:

90

Step-by-step explanation:

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Tyrone and Terri both bought sofas with installment loans. Tyrone bought a sofa with a

Minchanka [31]

Answer:

Tyrone paid the higher markup rate.

Step-by-step explanation:

Tyrone and Terri both bought sofas with installment loans.

Tyrone bought his own with a sticker price of $1350 by paying $74 a month for 24 months. Therefore,

74 × 24 = $1776

The mark up = $1776 - $1350 = $426

Tyrone markup rate = 426/24 = $17.75 per month

Terri bought his own with sticker price of $950 by paying $52 a month for 24 months. Therefore,

52 × 24 = $1248

mark up = $1248 - $950 = $298

Terri markup rate = 298/24 = $12.4166666667 = $12.42 per month

6 0

2 years ago

James and Dan are partners in a small company. From each year’s profit, James is paid a bonus of $15000 and the remainder is sha

jarptica [38.1K]

Answer:

total20000

bonus15000

remaining 20000-15000=5000

ratio 2+3=5x

Dan part =3x

Dan value=( 5000/5)*3=3000

Step-by-step explanation:

6 0

1 year ago

What are the factors of the polynomial function? Use the rational root theorem to determine the factors. f(x) = 2x³ + x² - 8x -

fredd [130]

Answer:

( x + 2 ) ( x - 2 ) ( 2x + 1)

Step-by-step explanation:

coefficient of x³ is 2 and denote it with q and denote -4 as p

the set of possible rational roots through rational theorem will be within ± (p/q)

now factors of -4 are ±(1,2,4) and factors of 2 are ± (1,2) the possible rational roots are ± ( 1/1, 1/2, 2/1, 2/2, 4/1, 4/2) which reduces to ± (1, 1/2, 2, 4)

substitute each of the value into the equation

f(x) = 2x³ + x² - 8x - 4 to the root ( that gives f(x) = 0)

the equation can be made easy writing it in reduced form

2x³ + x² - 8x - 4

(2x³ + x²) - (8x + 4)

x² (2x + 1) - 4 (2x + 1)

(x² - 4) (2x + 1)

( x + 2 ) ( x - 2) ( 2x + 1) are the factors which correspond to 2, -2, -1/2 roots

4 0

2 years ago

max and some friends shared the cost of a meal. The meal cost $51 and each person contributes $17. How many people share the cos

stiv31 [10]

Answer:

3 people

Step-by-step explanation:

$51/$17 = 3 people

- We know to start with $51 dollars because that is the total price of the meal.

- We also know each meal costs $17.

- Next, ask youself what we are trying to find? We are trying to find how many people are eating.

- Therefore to find that we need to take our starting amount $51 divided by $17 because that is the cost of 1 meal.

- $51/$17 = 3 people (whole cost/individual cost = # of people)

- To check this take 3 x 17 = 51 (Now we know it is correct)

- If you would like a further explanation please let me know.

5 0

2 years ago

Leila bought 3 bananas, which weighed a total of Three-fourths of a pound. If each banana weighed the same amount, what is the w

Anna [14]

Answer:

$Each\ Weight = \frac{1}{4}$ lb

Step-by-step explanation:

Given

$Weights = \frac{3}{4}lb$

$Bananas = 3$

Required

Determine the weight of each

To do this, we simply divide the total weight by the number of bananas.

$Each\ Weight = \frac{3}{4}/3$

Convert to multiplication

$Each\ Weight = \frac{3}{4} * \frac{1}{3}$

$Each\ Weight = \frac{1}{4}$

<em>Hence, each banana weighs 1/4 of a pound</em>

4 0

1 year ago

Read 2 more answers