Step-by-step explanation:
See the attached image. I numbered angles differently so as not to make an <u>assumption</u> that angles numbered the same are congruent.
(alternate interior angles are congruent)
(alternate interior angles are congruent)
(opposite sides of a parallelogram are congruent)
(ASA - side/angle/side)
(corresponding parts of congruent triangles are congruent)
The diagonals bisect each other!
Answer:
The graph that have an exports growth model is A.
Answer:
(<u>fg)(x) = 12x³ + 12x²</u>
Step-by-step explanation:
Given f(x) = 3x + 6 and g(x) = 2x²
To find (fg)(x), we multiply g(x) with f(x)
(fg)(x)
(3x + 6) *( 2x²)
(3x) ( 2x²) + 6*2x²
6x³ + 12x²
hence (<u>fg)(x) = 6x³ + 12x²</u>
The greatest common factor of 48a²b⁷ and 48a⁶b⁵z is the number 48a²b⁵
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more variables and numbers.
The greatest common factor is the highest number that all the numbers share.
The greatest common factor of 48a²b⁷ and 48a⁶b⁵z is the number 48a²b⁵
Find out more on equation at: brainly.com/question/2972832
#SPJ1
Given:
Height of a trapezoidal prism = 10 cm
Base lengths are 3 and 4 cm.
Base height = 2 cm
To find:
The volume of the trapezoidal prism.
Solution:
Base area of a trapezoidal prism

Where, a,b are base lengths and h is the base height.
Putting
, we get


The volume of a trapezoidal prism is:

Where, B is the base area and h is the height of the prism.
Putting
, we get


Therefore, the volume of the trapezoidal prism is 70 cubic cm.