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2 years ago

Solve for d: d+(−5.004)=2.826 Include explanation on how you got your answer :)

Mathematics

1 answer:

aleksklad [387]2 years ago

8 0

Answer:

$d = 7 .83$

Step-by-step explanation:

1. Remove parentheses.

$d + - 5.004 = 2.826$

2. Simplify d + -5.004 to d - 5.004.

$d - 5.004 = 5.004$

3. Add 5.004 to both sides.

$d = 2.826 + 5.004$

4. simplify 2.826 + 5.004 to 7.83.

$d = 7.83$

Therefor, rhe answer is D = 7.83

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Unit 7 polygons & quadrilaterals homework 3: rectangles Gina Wilson answer key

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Answer:

In the image attached you can find the Unit 7 homework.

We need to findt he missing measures of each figure.

Notice that the first figure is a rectangle, which means opposite sides are congruent so,

VY = 19

WX = 19

YX = 31

VW = 31

To find the diagonals we need to use Pythagorean's Theorem, where the diagonals are hypothenuses.

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Also, $YW \approx 36.36$ , beacuse rectangles have congruent diagonals, which intercect equally.

That means, $ZX = \frac{VX}{2} \approx \frac{36.36}{2}\approx 18.18$

Figure number two is also a rectangle.

If GH = 14, that means diagonal GE = 28, because diagonals intersect in equal parts.

Now, GF = 11, because rectangles have opposite sides congruent.

DF = 28, because in a reactangle, diagonals are congruent.

HF = 14, because its half of a diagonal.

To find side DG, we need to use Pythagorean's Theorem, where GE is hypothenuse

$GE ^{2}=11^{2}+DG^{2}\\28^{2}-11^{2}=DG^{2}\\DG=\sqrt{784-121}=\sqrt{663}\\ DG \approx 25.75$

This figure is also a rectangle, which means all four interior angles are right, that is, equal to 90°, which means angle 11 and the 59° angle are complementary, so

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