Answer: The approximate values that every player make are,
Tammy = grace = 5.43 baskets
Jenny = 16.30 Baskets
Alex = 11.43 Baskets
Joan = 1.43
Step-by-step explanation:
Let Grace made x baskets.
Then According to the question,
Jenny made baskets = 3x
Alexis made basket = x + 6
Joan made basket = x - 4
Tammy made baskets = x
Since, Altogether the five players made 40 baskets.
⇒ x+ 3x + x + 6 + x - 4 + x = 40
⇒ 7x + 2 = 40
⇒ 7x = 38
⇒ x = 38 / 7 = 5.42857142857 ≈ 5.43
Thus, Grace made baskets= Tammy made baskets = x = 5.43
Jenny made baskets = 3 × x = 16.2857142857 ≈ 16.30
Alexis made basket = x + 6 = 11.4285714286 ≈ 11.43
Joan made basket = x - 4 = 1.42857142857
≈ 1.43
Statement 1: WXYZ is a kite
Reason 1: Given
Statement 2: WX = XY and WZ = YZ
Reason 2: Definition of a kite
Statement 3: XZ = XZ
Reason 3: Reflexive property
Statement 4: Triangle WXZ = Triangle YXZ
Reason 4: SSS Congruence
Statement 5: Angle W = Angle Y
Reason 5: CPCTC
-------------------------------------------------------------------------
Extra notes:
* A kite is a quadrilateral that has two pairs of adjacent congruent sides. In this case, WX and XY is one pair of congruent sides that are adjacent (ie next to each other). So that's why WX = XY. Similarly, WZ = YZ is the second pair of adjacent congruent sides.
* Draw in a segment from point X to point Z to help form two triangles. The two triangles are congruent as proven in statement 4. One triangle is a reflection over the line XZ to get the other triangle.
* Due to this reflection, angle W reflects over line XZ to get angle Y. Proving that angle W = angle Y
* SSS means "side side side", basically saying "you use three pairs of congruent sides to prove two triangles congruent".
* The acronym CPCTC stands for "corresponding parts of congruent triangles are congruent"
1. We assume, that the number 92.4 is 100% - because it's the output value of the task.
<span>2. We assume, that x is the value we are looking for. </span>
<span>3. If 92.4 is 100%, so we can write it down as 92.4=100%. </span>
<span>4. We know, that x is 150% of the output value, so we can write it down as x=150%. </span>
5. Now we have two simple equations:
1) 92.4=100%
2) x=150%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
92.4/x=100%/150%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.
7. Solution for what is 150% of 92.4
92.4/x=100/150
<span>(92.4/x)*x=(100/150)*x - </span>we multiply both sides of the equation by x
<span>92.4=0.666666666667*x - </span>we divide both sides of the equation by (0.666666666667) to get x
<span>92.4/0.666666666667=x </span>
<span>138.6=x </span>
x=138.6
<span>now we have: </span>
<span>150% of 92.4=138.6</span>
Wow i havent done this since 4th grade, it feels so weird doing it again :)
200,000+ 50,000+ 1,000 + 700 + 20 + 3
