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hodyreva [135]
3 years ago
11

Plz help I dont understand this at all

Mathematics
2 answers:
elena-14-01-66 [18.8K]3 years ago
7 0

5.) We know that all of the angles in a triangle add up to 180 degrees. To solve:

65+35=100

180-100=80

m∠w = 80°

6.) x° and 70° should equal 180°. Let's set up an equation:

x+70=180

m∠x=110°

7.) We know that due to the vertical angles theorem, 60° will be congruent to 60° where they intersect. Since we now know two angles inside the bottom triangle, we can set up an equation to solve for k.

60+60+k=180

120+k=180

k=60

m∠k = 60°

8.) Finally, we know that angles next to each other when they are perpendicular = 180°. Since we know that proof, we can set up an equation to solve for p.

90+p=180

p=90

m∠p = 90°

ANEK [815]3 years ago
3 0
1) the sum of all three angles in a triangle is always 180, so number 5 is w=80

2)I assume they mean x. since the x angle and the 70 angle are a linear pair they must add to 180, so x has to be 110

3) the top 60 angle makes a vertical angles with the angle right below it. since vertical angles are congruent, the angle below has to be 60 also. again all 3 must add to 180 so o is also 60

4) these are all linear pairs. every angle shown has to be 90
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Prove<br><br> that BUGS is a trapezoid with coordinates B(-2,-1), U(0,3), G(3,2) and S(4,-3).
telo118 [61]

Answer:

Proved

Step-by-step explanation:

Given

B =(-2,-1)

U = (0,3)

G = (3,2)

S = (4,-3)

Required

Prove BUGS is a trapezoid

Given the coordinates, to prove a trapezoid; all we need to do is to check if one pair of sides is parallel.

<u></u>

<u>Taking BU and GS as a pair</u>

First, we calculate the slope using:

m = \frac{y_2 - y_1}{x_2 - x_1}

For BU

B =(-2,-1) --- (x_1,y_1)

U = (0,3) --- (x_2,y_2)

So, we have:

m = \frac{3 - -1}{0- -2}

m = \frac{4}{2}

m = 2

For GS

G = (3,2) --- (x_1,y_1)

S = (4,-3) --- (x_2,y_2)

So, we have:

m = \frac{-3-2}{4-3}

m = \frac{-5}{1}

m = -5

<em>The slope of BU and GS are not the same; hence, they are not parallel.</em>

<u>Taking BS and GU as a pair</u>

Calculate the slope

For BS

B =(-2,-1) --- (x_1,y_1)

S = (4,-3) --- (x_2,y_2)

So, we have:

m = \frac{-3 - -1}{4- -2}

m = \frac{-2}{6}

m = -\frac{1}{3}

For GU

G = (3,2) --- (x_1,y_1)

U = (0,3) --- (x_2,y_2)

So, we have:

m = \frac{3-2}{0-3}

m = \frac{1}{-3}

m = -\frac{1}{3}

The slope of BS and GU are the same; hence, they are parallel.

<em>BUGS is a trapezoid because BS and GU have the same slope</em>

8 0
3 years ago
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