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iragen [17]
3 years ago
9

Two workers paint lines for angled parking spaces. One worker paints a line so that m∠1=65. The other worker paints a line so th

at m∠2=65. Are their lines parallel? Explain your answer.
Mathematics
1 answer:
scoundrel [369]3 years ago
3 0

The image of the car park showing the 2 angles is attached.

Answer:

Their lines are parallel.

Step-by-step explanation:

From the attached image, we can see that ∠1 and ∠2 form a pair of alternate exterior angles. Thus; ∠1 = ∠2.

Now since they are congruent, it means that their lines will be parallel.

Thus, we can conclude that their lines are parallel.

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U 3 4
dlinn [17]

Answer: 50%

Step-by-step explanation:

I'm converting 7kg to grams to make it easier. So £10 = 7000g

£1 = 7000÷10 = 700g

700g÷2 = 350g and if you follow the ratios on top, she payed 50p per 350g

She sells a bag of 350g for 75p.

Percentage profit=\frac{Change in cost}{original cost} × 100

75p - 50p = 25p = change in cost

Percentage profit= \frac{25}{50} × 100

= 50%

6 0
4 years ago
The areas of the squares adjacent to two sides of a right triangle are shown below
Dahasolnce [82]

Answer:

The area of the square is 85 units^2

Step-by-step explanation:

Okay, here in this question, we are interested in calculating the area of the unknown square.

Kindly note that, since each of the other shapes are squares too, it means that the length of their sides is simply the square root of their areas.

Thus, the length of the squares are ;

√35 units and √50 units respectively

Now to find the area of the larger square, we employ the use of Pythagoras’ theorem which states that the square of the hypotenuse is equal to the sum of the squares of the two other sides

Let’s call the unknown length X

x^2 = (√35)^2 + (√50)^2

x^2 = 35 + 50

x^2 = 85

x = √85 units

Now as we know that the area of a square is simply the length of the side squared,

The area of the biggest square is simply (√85)^2 = 85 units^2

8 0
4 years ago
What is 30 times 104 in distributive property
galina1969 [7]
3,120 is your answer
4 0
3 years ago
Read 2 more answers
Emma is moving and must rent a truck. In addition to an initial fee, the rental company charges a fee of $2.50 per mile driven.
dolphi86 [110]

Answer: i think the answer is 6 hope this helps

Step-by-step explanation: multiply the divide

5 0
4 years ago
Read 2 more answers
To prepare for the school fundraiser, juanita pays $5 for 100 cups. She also buys Fruit juice for $.50 each. Write an equation t
ANTONII [103]

Answer:

f(x) = 0.5x + 5

Domain: positive whole numbers

Range: f(x) ≥ 5

Step-by-step explanation:

Let's x denote the total number of fruit juice.

This means that if $0.5 for each fruit juice, then the total cost incurred for fruit juice would be $0.5x.

Since she incurred a cost of $5 for 100 cups and $0.5 for each fruit juice, then the total cost, f(x), would be:

f(x) = 0.5x + 5

The domain would be all positive whole numbers (it is restricted to positive whole numbers because a fruit juice can't be "negative" neither can it be "half").

The range is all numbers equal or greater than 5. This is because, even if she does not eventually get fruit juice, she will still incur a cost of 5usd for cups.

7 0
3 years ago
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