Because of the vertical angles theorem, BAC becomes 50°. And angle B is 180-(50+30)=100.
If all 3 triangles are similar, the angles of triangle EFG are 30°, 50°, 100°
we know that
<u>The Side-Splitter Theorem</u>: States that If a line is parallel to one side of a triangle and intersects the other two sides, then it divides those two sides proportionally
so
in this problem
therefore
<u>the answer is</u>
The segment length is GJ
-------------------------------------------------------------------------
Given Information
-------------------------------------------------------------------------
Total number of people = 165
Adult = $6
Child = $2
Total collected = $618
-------------------------------------------------------------------------
Assumptions
-------------------------------------------------------------------------
Let x be the number of adults and y be the number of children
-------------------------------------------------------------------------
Form equations
-------------------------------------------------------------------------
Total number of people
x + y = 165
Total amount collected
6x + 2y = 618
-------------------------------------------------------------------------
Ans: The two equations are x + y = 165 and 6x + 2y = 618
-------------------------------------------------------------------------
The question is not asking for it but if you need to solve the equation to find the answer to x and y
-------------------------------------------------------------------------
Present the two equations and solve for x and y
-------------------------------------------------------------------------
x + y = 165 ------------------------- (eqn 1)
6x + 2y = 618 ------------------------- (eqn 2)
(eqn 1) :
x + y = 165
x = 165 - y ------------------------- substitute into (eqn 2)
6(165 - y) + 2y = 618
990 - 6y + 2y = 618
4y = 990 - 618
4y = 372
y = 93 ------------------------- substitute into (eqn 1)
x + y = 165
x + 93 = 165
x = 165 - 93
x = 72
x = 72 and y = 93
-------------------------------------------------------------------------
Ans: 72 adults and 93 children
-------------------------------------------------------------------------
Answer:
There were 14 pounds of blueberries sold and 42 pounds of peaches sold.
Step-by-step explanation:
Since Sadie sold 3 times as many pounds of peaches as pounds of blueberries, she sold more pounds of peaches, so if we multiply 3 by the number of pounds of blueberries sold, we will get the number of pounds of peaches sold, meaning pp equals 3b.
There were 14 pounds of blueberries sold and 42 pounds of peaches sold.
