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pickupchik [31]
3 years ago
11

Think I might need little assistance

Mathematics
1 answer:
Maurinko [17]3 years ago
5 0

Answer:

x = 90

Step-by-step explanation:

We use the Definition of Corresponding Angles to help us solve for <em>x</em>:

∠1 = ∠4

Step 1: Write out equation

3x - 160 = x + 20

Step 2: Solve for <em>x</em>

2x - 160 = 20

2x = 180

x = 90

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Find the area of the right triangle △DEF with the points D (0, 0), E (1, 1), and F.
Tems11 [23]

Answer:

The area of the triangle is  \sqrt{3}

Step-by-step explanation:

Given:

Coordinates D (0, 0), E (1, 1)

Angle  ∠DEF = 60°

△DEF is a Right triangle

To Find:

The area of the triangle

Solution:

The area of the triangle is  = \frac{1}{2}(base \times height)

Here the base is Distance between D and E

calculation the distance using the distance formula, we get

DE  = \sqrt{(0-1)^2 + (0-1)^2}

DE =\sqrt{(-1) ^2 + (-1)^2

DE = \sqrt{1+1}

DE = \sqrt{2}

Base = \sqrt{2}

Height is DF

DF =tan(60^{\circ}) \times DE

DF = \sqrt{3} \times DE

DF = \sqrt{3} \times\sqrt{2}

Now, the area of the triangle is

= \frac{1}{2}({\sqrt{2})(\sqrt{3} \times \sqrt{2})

=\frac{1}{2}({\sqrt{2})(\sqrt{3} \sqrt{2})

=\frac{1}{2}(2\sqrt{3} )

=\sqrt{3}

6 0
2 years ago
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Lena [83]

Answer:

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Step-by-step explanation:

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2 years ago
Find the common property and use it to describe these sets. C={1,4,9,16} C is a set of x, where x depends on n.
Korolek [52]

Answer:

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8 0
3 years ago
Read 2 more answers
4x -y -16 = 0 in slope intercept form
xxMikexx [17]
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Select the correct answer. Which of the following is equal to g(x)? (View the image)
Komok [63]

answer A

Step-by-step explanation:

answer A

as g(0)=1/4

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5 0
2 years ago
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