Answer:
Step-by-step explanation:
The value of x is 40.
Solution:
Given ΔVDG and ΔVNG are similar triangles.
DG = 207, NQ = 138, GQ = 60, QV = x
To find the value of x.
In two triangles are similar, then the measures of the corresponding sides are in proportional to each other.

Substitute the given values.

Do cross multiplication, we get


Divide by 207 on both sides of the equation, we get


Hence the value of x is 40.
Answer:
A. No
B. Yes
C. No
Step-by-step explanation:
Dimensions of each book are 4 inches by 11 by 14 inches.
A. Each book has a volume of 29 cubic inches.
Volume of each book = length × width × height
= 4 × 11 × 14
= 616 cubic inches
No
B. If the crate could hold 18 books the volume of the crate would be 11,088.
Volume of each book = 616 cubic inches
Volume of the crate = volume of each book × number of books
= 616 × 18
= 11,088 cubic inches
Yes
C. Each crate has a volume of about 8,524 cubic inches
If the crate holds 14 books,
Volume of the crate = volume of each book × number of books
= 616 × 14
= 8,624 cubic inches
No
-4(x+10)-6=-3(x-2)
-4x-40-6=-3x+6
-4x-46=-3x+6
-4x-46+46=-3x+6+46
-4x=-3x+52
-4x+3x=-3x+3x+52
-x=52
(-x/-1)=(52/-1)
x=-52
Answer:
1 1/2 or 3/2
Step-by-step explanation:
8 1/4 divided by 5 1/2
Convert to improper fraction
33/4 divided by 11/2=66/44
Simplify this to get 1 1/2 or 3/2