Answer:
1) 2x = x + 15
Step-by-step explanation:
The two parallel lines and one bisecting line makes these two angles equal so you can set the values equal to each other to solve for x
Answer:
acute = 30,right angle = 90,obtuse = 135,line = 180
She bought 3,000 grams of grapes.
Answer:
1 7/8 cups leftover
Step-by-step explanation:
The total amt. of sugar Suze needs is 5(1 1/2 cups) = 15/2 cups, or 7.5 cups.
Combining the 3 1/4 and 6 1/8 cups of sugar remaining in the bag results in 3 2/8 + 6 1/8 cups, or 9 3/8 cups total. She needs only 7.5 cups of this sugar.
Thus, she has leftover the following amount: 9 3/8 - 7 4/8 cups, which
simplifies to 1 7/8 cups
Answer:
10 cm
Step-by-step explanation:
If we assume that DC is parallel to AB, then triangle DOC is similar to triangle AOB.
However, even with this assumption, there is not enough information in the diagram to solve for DO. We would also need to know the length of CO. Then we could write a proportion:
DO / (DO + 20) = CO / (CO + 24)
Edit: OD is 2 cm shorter than OC. If we call x the length of OD, then the length of OC is x+2.
Putting this into our proportion:
x / (x + 20) = (x + 2) / (x + 2 + 24)
x / (x + 20) = (x + 2) / (x + 26)
Cross multiply:
x (x + 26) = (x + 2) (x + 20)
Distribute:
x² + 26x = x² + 20x + 2x + 40
x² + 26x = x² + 22x + 40
4x = 40
x = 10
So the length of DO is 10 cm.
