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yuradex [85]
2 years ago
13

Jesse has reached 16% of his weekly reading time goal so far this week. If he has read for a total of

Mathematics
2 answers:
bekas [8.4K]2 years ago
6 0
200 min
16/100=32/x
16x=3200
X=200
Nimfa-mama [501]2 years ago
5 0

x = time goal

16% = .16

.16 x = 32

x = 32/.16 = ___________ minutes

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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
0.8% of what number is 15?
frez [133]
Answer: 1875

Hope this helps!
6 0
2 years ago
Kinsey has a plan to save $60 a month for 16 months so that she can purchase a new television. After 11 months Kinsey has saved
kirza4 [7]

Answer:

b. Kinsey must save $72 per month to achieve her goal.

Step-by-step explanation:

<em>Goal over 16 months:</em> $60 x 16 = $960

<em>Collected after 11 months:</em> $600

  • $360 still needed
  • 5 months lefts

$360 ÷ 5 = $72

4 0
3 years ago
The perimeter of a rectangular field is 324 yards. If the width of the field is 76 yards, what is its length?
Ugo [173]

The length would be 86 yards.

8 0
3 years ago
Evaluate this expression​
xenn [34]

Answer:

18

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
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