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3 years ago

I need help. line wx is parallel to line yz

Mathematics

2 answers:

Oksana_A [137]3 years ago

3 0

Answer:

Step-by-step explanation:

<ABY=<ZBY(VERTICAL ANGLES)

SO.

3x-5=2x+40

3x-2x=40+5

x=45

klemol [59]3 years ago

3 0

Answer:

Step-by-step explanation:

Vertical angles are congruent

m < ABY = m < ZBU

Substitute in their known values

(3x - 5)° = (2x + 40)°

Add 5° to both sides of the equation

3x = 2x + 45°

Subtract 2x from both sides of the equation

x = 45°

Hope this helps :)

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Write an equation to represent each situation.

mina [271]

Answer:

18 years

Step-by-step explanation:

2(8+x) = 34+x

16+2x = 34+x

-18 = -x

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3 years ago

A shopper paid $2.52 for 4.5 pounds of potatoes and $7.75 for 2.5 pounds of broccoli. What is the unit price of each item she bo

Maurinko [17]

<h3>Unit price is $ 0.56 per pound of potatoes</h3><h3>Unit price is $ 3.1 per pound of broccoli</h3>

<em><u>Solution:</u></em>

Given that,

Unit price is the price of 1 unit

$\textrm{Unit Price} = \frac{\textrm{Total cost on n products}}{\textrm{n}}$

<h3><u>Find unit price of potatoes</u></h3>

A shopper paid $2.52 for 4.5 pounds of potatoes

$Unit\ Price = \frac{2.52}{4.5}\\\\Unit\ Price = 0.56$

Thus unit price is $ 0.56 per pound of potatoes

<h3><u>Find unit price of broccoli</u></h3>

$7.75 for 2.5 pounds of broccoli

$Unit\ Price = \frac{7.75}{2.5}\\\\Unit\ Price = 3.1$

Thus unit price is $ 3.1 per pound of broccoli

5 0

4 years ago

8.46 If 100 is decreased by a% and the result is decreased by b%, then what is the total percent decrease (in terms of a and b)?

Marysya12 [62]

Answer:

The total percent decrease is $a+b-\frac{a b}{100}$

Step-by-step explanation:

We are given with a word problem
We are asked to find the total percentage decrease
We can do this in two steps

Step 1: Finding the two percentage decrease

Step 2: Finding their difference

Step 1 of 2

Let the decrease by a% be 100-a

Then b% decrease is

$\begin{aligned}\frac{b}{100} \times(100-a) &=\frac{100 b-a b}{100} \\\frac{100 b}{100}-\frac{a b}{100} &=b-\frac{a b}{100}\end{aligned}$

Step 2 of 2

The percentage difference between the two percentages is,

$\begin{aligned}&(100-a)-\left(b-\frac{a b}{100}\right)=100-a-b+\frac{a b}{100} \\&100-a-b+\frac{a b}{100}=100-\left(a+b-\frac{a b}{100}\right)\end{aligned}$

Since 100 is the total percent $a+b-\frac{a b}{100}$ is the percentage decrease.

3 0

2 years ago

One week a business sold 40 shirts. White ones cost $4.95, and the printed ones cost 7.95. In al $282 worth of shirts were sold.

Tanya [424]

Answer:

12 white 28 printed

Step-by-step explanation:

x = white y = printed

x + y = 40————(1)

4.95x + 7.95y = 282————(2)

Solve for x using 1st equation

x = 40 - y Plug in for x using 2nd equation

4.95(40 - y) + 7.95y = 282 Solve for y

198 - 4.95y + 7.95y = 282

3y = 84

y = 28 Plug in for y using 1st equation

x + (28) = 40 Solve for x

x = 12

I hope this helped and please mark me as brainliest!

8 0

3 years ago

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A CD case measures four-fifths inches by five and three-fifths inches. What is the decimal form of the measurements

Westkost [7]

4.5 and 3.5 it is the same but 4 and 3 are different you get it ?

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4 years ago

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