Answer:
Step-by-step explanation:
You need to pay very close attention to the triangle similarity statement. This says that triangle NML is similar to triangle NVU. But if you look at the way that triangle NVU is oriented in its appearance, it's laying on its side. We need to set it upright so that angle N is the vertex angle, angle V is the base angle on the left, and angle U is the base angle on the right. When we do that we see that sides NV and NM are corresponding and exist in a ratio to one another; likewise with sides VU and ML. Setting up the proportion:

Filling in:

Cross multiply to get
324 = 108x
and x = 3
If you can't see the picture the answer is: (y+4)(y+2).
Hope this helps, and May the Force Be With You!
-Jabba
Answer: she still has to cut off 19/16 inches.
Step-by-step explanation:
Olivia wants to cut 3 3/4 inches from a piece of string. Converting 3 3/4 inches to improper fraction, it becomes 15/4 inches.
She has already cut off 2 9/16 inches from the piece of string. Converting 2 9/16 inches to improper fraction, it becomes 41/16 inches.
Therefore, the length of string that is left for her to cut off would be
15/4 - 41/16 = (60 - 41)/16
= 19/16 inches
Answer:
40.4
Step-by-step explanation:
Well...you see, 60% of $97 is equal to 58.2. you can get this by multiplying 97 by 0.60.
so subtract 97 by 58.2 and you will get 38.8, now you will add the tax which is and extra add-on to the prices full value
and it's a 4% tax so you will add for percent to 38.8,
basically multiply 38.8 times 0.04 and you will get 1.6 which you will have to add the your amount to get 40.4.
Answer:
31.4 yards
Step-by-step explanation:
Radius (R) = d / 2
R = 10 / 2 = 5 yards
Circumference (C) = 2 π r
C = 2 * 3.14 * 5 yards
C = 31.4 yards