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3 years ago

HELP LOOK AT THE PHOTO

Mathematics

2 answers:

Amanda [17]3 years ago

6 0

$\bf{Hello!}$

The answer is 140°

Because we can use exterior angle property here

Exterior angle property : It states that exterior angle is the sum of two opposite interior angles

y = 120 + 20 = 140°

Orlov [11]3 years ago

3 0

Answer:

140 degrees

Step-by-step explanation:

A triangle's sum of interior angles is 180.

120+20=140

180-140=40

So X= 40.

X and Y are supplementary, so they both add up to 180.

180-40=140

Therefore, Y=140.

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If the measure of an acute angle is represented by x, then the measure of its complement

Luba_88 [7]

Answer:

always true

Step-by-step explanation:

complement equals that angle plus another one adds to 90. If you know that it's less than 90 degrees, then you subtract it from 90 to get the other angle which is the complement. Hope this helps!

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2 years ago

What is the area of this triangle ?

oee [108]

Answer:

Area of triangle is 9.88 units^2

Step-by-step explanation:

We need to find the area of triangle

Given E(5,1), F(0,4), D(0,8)

We will use formula:

$Area\,\,of\,\,triangle =\sqrt{s(s-a)(s-b)s-c)} \\where\,\, s = \frac{a+b+c}{2}$

We need to find the lengths of side DE, EF and FD

Length of side DE = a = $\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}$

Length of side DE = a = $=\sqrt{(5-0)^2+(1-8)^2}\\=\sqrt{(5)^2+(-7)^2}\\=\sqrt{25+49}\\=\sqrt{74}\\=8.60$

Length of side EF = b = $\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}$

Length of side EF = b = $=\sqrt{(0-5)^2+(4-1)^2}\\=\sqrt{(-5)^2+(3)^2}\\=\sqrt{25+9}\\=\sqrt{34}\\=5.8$

Length of side FD = c = $\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}$

Length of side FD = c = $=\sqrt{(0-0)^2+(8-4)^2}\\=\sqrt{(0)^2+(4)^2}\\=\sqrt{0+16}\\=\sqrt{16}\\=4$

so, a= 8.60, b= 5.8 and c = 4

s = a+b+c/2

s= 8.6+5.8+4/2

s= 9.2

Area of triangle= $=\sqrt{s(s-a)(s-b)s-c)}\\=\sqrt{9.2(9.2-8.6)(9.2-5.8)(9.2-4)}\\=\sqrt{9.2(0.6)(3.4)(5.2)}\\=\sqrt{97.5936}\\=9.88$

So, area of triangle is 9.88 units^2

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4 years ago

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wlad13 [49]

Answer:

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Step-by-step explanation:

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where opposite is the part of the traffic light

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Now the total height of traffic light = 16.78 ft +5 ft

Total Height = 21.78 ft

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