Question 11 #a #b #c

Answers

Answer 1

Answer: (a) First, note that the angle ∠PLN is equal to x°. Therefore 2x° = 180° - 120° ⇒ x = 30°. Next, note that ∠PLM = 90° - ∠PLN = 90° - x° = 60° and that ∠LPM = 180° - 120° = 60°. Therefore y = 180° - 60° - 60° = 60°.

(b) Note that triangle XRY is equilateral, therefore all its angles are 60°. Next note that y° = ∠XRY = 60°. Finally, x° = 180° - ∠ XYR - y° = 60°.

(c) y° = ∠CDB = 20°. Finally, 2x° = 180° - 20° ⇒ x° = 80°.

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Javier drove 45 miles. This represents 60% of his entire trip. What is the total number of miles in Javier's trip?

Answers

60% of trip = 45 miles

let total trip distance = $l$

60% is given by multiplying by 0.6

So;

$0.6l = 45 \n \n l = (45)/(0.6) \n \n \boxed{l = 75}$

.6x=45 .6=3/5 3x/5=45 x=(5/3)*45 x=75 the total miles in his trip is 75

Susie is having a party with 6 guest she wants to feed everyone sandwiches if Susie but 1/2 pound of cheese how many cheese would each guest get on their sandwiches

Answers

Answer: 3

Step-by-step explanation:

Take the 6 guests and the 1/2 pound I cheese and multiply. 6×1/2 is 3!

What is 6.051×105 written in standard form?

Answers

6.051 × $10^(5)$ = 605,100

So, your answer would have to be 605,100

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Do all shapes that have right angles have sides that are parallel.

Answers

Not all shapes, a right triangle does not have any parallel sides.

I hope this helped!

Not all of them, like what do you think about a circle?

helped? :)

When George is 15 years old, His father is 45 years old. How old will his father be when George is half his age

Answers

George's father will be 80 years old when George is half his age.

Half his age is 50 so 35 + 15 is 50 so add that to his dads age

Answer: 80 years old

The ratio of the volume of fruit juice to the volume of smoothies served at a party was 4.5 to 2.4. There were 35 liters more fruit juice served than smoothies. Find the volume of smoothies served.

Answers

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