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Zinaida [17]
2 years ago
5

What is the slope of a line whose equation is 2x-2y=20

Mathematics
2 answers:
Zigmanuir [339]2 years ago
6 0
To find the slope, we first have to turn this equation to the form y = mx + b.

2x - 2y = 20

Move 2x to the other side by subtracting it.

-2y = -2x + 29

Divide by -2 on both sides

y = x - 13

Mark as Brainliest if you found it helpful!
lawyer [7]2 years ago
4 0

Answer:

The slope is 1.

Step-by-step explanation:

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Rhombus EFGH is shown. What is the measure of ∠HGJ?
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Answer:

∠HGJ = 35°

Step-by-step explanation:

Although the question is somewhat incomplete, I have tried to reconstruct the question as much as possible to aid understanding (attached is the pictorial representation of the rhombus).

Firstly, it is important to note that rhombuses are parallelograms which have all sides equal and whose diagonals are perpendicular to each other. In addition to this, their diagonals bisect one other.

Mathematically, |EF| = |FG| = |GH| = |HE|

Another property which rhombuses have is that their opposite angles are equal.

Mathematically, ∠E = ∠G, ∠H = ∠F

The adjacent angles in a rhombus are supplementary. This means that the sum of angles closest to each other is 180°.

Mathematically, ∠E + ∠F = 180°, ∠F + ∠G = 180°, ∠G + ∠H = 180°,

∠H + ∠E = 180°

The question gave us ∠GHE and asked us to find ∠HGJ (denoted as θ in the picture attached). Note that ∠GHE means ∠H. That is, ∠GHE ⇒ ∠H

∠GHE or ∠H = 110°

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∠GHE + ∠FGH ⇒ 110° + ∠FGH = 180° ⇒ ∠FGH = 180° - 110°

∠FGH or ∠G = 70°

To calculate for ∠HGJ, we divide ∠FGH by 2, we have:

∠HGJ = ∠FGH ÷ 2 = 70° ÷ 2

∠HGJ = 35°

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2 years ago
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