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MAVERICK [17]
3 years ago
9

Waylon played defense in 12 soccer games. This was 60% of the total games he played. How many games did Waylon play?

Mathematics
1 answer:
puteri [66]3 years ago
4 0

Answer:

20 games

Step-by-step explanation:

(12/x)=(60/100)

12*100=1200

60x=1200

x=20

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2. Given a quadrilateral with vertices (−1, 3), (1, 5), (5, 1), and (3,−1):
zlopas [31]
<h2>Explanation:</h2>

In every rectangle, the two diagonals have the same length. If a quadrilateral's diagonals have the same length, that doesn't mean it has to be a rectangle, but if a parallelogram's diagonals have the same length, then it's definitely a rectangle.

So first of all, let's prove this is a parallelogram. The basic definition of a parallelogram is that it is a quadrilateral where both pairs of opposite sides are parallel.

So let's name the vertices as:

A(-1,3) \\ \\ B(1,5) \\ \\ C(5,1) \\ \\ D(3,-1)

First pair of opposite sides:

<u>Slope:</u>

\text{For AB}: \\ \\ m=\frac{5-3}{1-(-1)}=1 \\ \\ \\ \text{For CD}: \\ \\ m=\frac{1-(-1)}{5-3}=1 \\ \\ \\ \text{So AB and CD are parallel}

Second pair of opposite sides:

<u>Slope:</u>

\text{For BC}: \\ \\ m=\frac{1-5}{5-1}=-1 \\ \\ \\ \text{For AD}: \\ \\ m=\frac{-1-3}{3-(-1)}=-1 \\ \\ \\ \text{So BC and AD are parallel}

So in fact this is a parallelogram. The other thing we need to prove is that the diagonals measure the same. Using distance formula:

d=\sqrt{(y_{2}-y_{1})^2+(x_{2}-x_{1})^2} \\ \\ \\ Diagonal \ BD: \\ \\ d=\sqrt{(5-(-1))^2+(1-3)^2}=2\sqrt{10} \\ \\ \\ Diagonal \ AC: \\ \\ d=\sqrt{(3-1)^2+(-5-1)^2}=2\sqrt{10} \\ \\ \\

So the diagonals measure the same, therefore this is a rectangle.

5 0
3 years ago
What is the area of the figure?<br><br> A.234 in.^2<br> B.315 in.^2<br> C.225 in.^2<br> D.252 in.^2
saul85 [17]

Let's imagine we enclosed the entire shape in a 15 inch wide, 21 inch tall rectangle, area 315 sq inches.

From that rectangle we have to take away the 3x6 bottom left corner, and a strip 21-6=15 inches long and 3 inches wide on the right.

A = 15×21 - 3×6 - 3×15 = 315 - 63 = 252 sq in

Answer: D.   252 inches squared, last choice

5 0
2 years ago
Tom's hair was originally 4 inches long. He asked her hairdresser to cut 1 ⁄3of it off. How many inches did he have cut off?
lord [1]

Answer:

About 3.67

Step-by-step explanation:

1 - 1/3 = 3.66666666667

And 3.66666666667 ≈ 3.67

8 0
2 years ago
Which graph below shows the solutions for the linear inequality ys x-3?
liraira [26]

Answer:

Graph A.

Step-by-step explanation:

Given the inequality: y\leq \dfrac{1}{4}x-3

Since the sign is "less than or equal to", the line cannot be dotted. Therefore, Options C and D are incorrect.

Since the sign is a "less than" sign, the required region must be below the line. Therefore, the graph which shows the given inequality is Graph A.

4 0
3 years ago
Help..rq................
Colt1911 [192]

Answer: -1/5

Step-by-step explanation:

7 0
2 years ago
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