Answer:
x = 7
Step-by-step explanation:
The larger triangle is twice as big as the smaller triangle. Therefore, the length of the side EF is twice as large as the side YZ.
I multiplied 4.5 (the length of YZ) and 2 to get 9. The value of side EF is 3x-12 and should be equivalent to 9.
3x - 12 = 9
I solved this equation by adding 12 to both sides and dividing 3 on both sides.
The value of x is 7.
The length of the hypotenuse of a right triangle can be found using the Pythagorean theorem, which states that the square of the length of the hypotenuse equals the sum of the squares of the lengths of the other two sides.
Answer:
A) 5 in. long and 5 in. wide
Step-by-step explanation:
Given:
Volume of a rectangular prism = 75 cubic inches
Height of prism = 3 inches
Volume of a rectangular prism is given by = 
where 
representslength of base, 
represents width of base and 
represents height of the prism.
We will check the choices given by finding the volume for the given dimensions of length and width while height remains the same and see if it matches with the given volume of the prism.
A) 
Volume of prism = 
B) 
Volume of prism = 
C) 
Volume of prism = 
D) 
Volume of prism = 
So, we see that the dimensions given in option A would give the volume of prism = 75 cubic inches.
Suppose f(x)=6x-2 and g(x)= 2x+4
a.
(f+g) (x) = 6x - 2 + 2x + 4
(f+g) (x) = 8x + 2
b.
(f-g) (x) = 6x - 2 -( 2x + 4)
(f-g) (x) = 6x - 2 - 2x - 4
(f-g) (x) = 4x - 6
130x5=650
650-104=546
546-137=409
409-154=255
255-131=124
x=124
