Answer:
x= 105
y= 40
Step-by-step explanation:
3y=4y-40 because they are alternate interior
Solve for y.
y=40
4y-40=x+15 because they are vertical angles.
Substitute 40 in for y.
4(40)-40=x+15
Solve.
x=105
Answer:
The answer is 1/2
Step-by-step explanation:
First you must the least common denominator so that you can add the two fractions. The least common denominator between 3/4 and 3/8, would be 8.
To get 3/4 to the least common denominator, you have to multiply top and bottom by 2. The product of this will be 6/8.
Next you add the two fractions: 6/8 + 3/8 = 9/8
Simplify your improper fraction to get on and 1 eighths or in number form 1 1/8
After this you must subtract how much she gave away so you can use your improper fraction to make it easier and subtract five eighths from nine eighths: 9/8 - 5/8 = 4/8
So, Luna has four eighths of a glass left but first you must simplify your answer. both 4 and 8 divide by 4 to get 1/2.
So Luna's glass only has 1/2 in the cup.
Make sure you be optimistic and see it as half full, instead of the pessimistic view of half empty. Remember to stay positive and share good vibes. Hope this answer helps you.
Answer:
i. No, Maurice statement is wrong.
ii. Stephan does not have sufficient pieces of wood to make the tray because the square inches required is more than what he has.
Step-by-step explanation:
Stephan's piece of wood measures; 18 inches in length and 12 inches in width.
Since the piece of wood has a shape of a rectangle,
the area of the piece of wood = length × width
= 18 × 12
= 216 square inches
According to Maurice's statement, he could make a tray that has a base of 1012 inches by 1012 inches.
The base has the shape of a square, so that;
the area of the base = length × width = 
= 1012 ×1012
= 1024144 squared inches
This shows that Stephan does not have sufficient wood to make the tray because the square inches required is more than what he has.
Answer:try 43
Step-by-step explanation: