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LiRa [457]
2 years ago
13

The value of x is? What is the value of x in this problem?

Mathematics
2 answers:
snow_lady [41]2 years ago
5 0

Answer:

x=96°

Step-by-step explanation:

For the upper left angle, we know that they are supplementary, so we can find the first angle of the triangle by

180-130=50

For the bottom right angle, we know that they are supplementary, so we can find that angle by

180-134=46

As a triangle has 180 degrees, we can subtract the values of the other two angles to find the final upper right angle.

180-50-46=84

Lastly, The upper right angle and x are supplementary so we can find x by subtracting the angle from 180

180-84=x\\x=96

solniwko [45]2 years ago
5 0

Answer:

x = 96˚

Step-by-step explanation:

Since all the angles are on the outside of the triangle, we need to get them to the inside by subtracting them from 180˚. So we do 180˚ minus 134˚ which gives us 46˚ for that angle. Then we do 180˚ minus 130˚ and that gives us 50˚ for that angle. Then, since all the angles inside a triangle must equal 180˚, we add 46˚ and 50˚ then subtract that from 180˚. So 180˚ minus 96˚ is 84˚. Now to get x, we subtract 84˚ from 180˚ degrees to get the outside angle. That is 96˚! Please mark be brainliest and I hope this helps!

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Find the length of the missing side (nearest tenth).<br> 17 in<br> 8 in
Blababa [14]

Answer:

Step-by-step explanation:

right triangle, so  use the Pythagorean Theorem.

call the missing side c

17² + 8² = c²

353 = c²

c = √353 ≅ 18.8 in

6 0
3 years ago
Need help finding the x-intercept zeros for x(x+2) (x-2)^2
miskamm [114]
X= 0 (multiplicity of 1)
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3 years ago
Kiran got 99 marks in Math, 69 mark in English and 91 in science. Another student Surya got 92 marks in Maths 33 in English and
statuscvo [17]

Answer:

Total marks = 468

Step-by-step explanation:

to find their total marks, you should simply find the sum of all the marks scored by Kiran and Surya in all subjects. That is done as follows:

99 + 69 + 91 + 92 + 33 + 84 =  468

4 0
3 years ago
A radio station signal covers a circular area out from the signal tower. It gets weaker the farther away your are. The local sta
valentinak56 [21]

Answer:

1. We would hear better at Dunkin's since its distance from the radio station is the shortest.

2. McDonald's is out of range of the radio station since its distance is greater than the range of the radio station.

Step-by-step explanation:

1) Will we hear it better at Zaxby's (2,-4), McDonalds (4, -4), or Dunkin' (-3,3). Show work to support your decision and explain your reasoning.

We need to find the distance of each point from the tower.

The shorter the distance from the radio station the better the signal.

The distance between two points (x₁, y₁) and (x₂, y₂) is given by d = √[(x₂ - x₁)² + (y₂ - y₁)²].

With (x₁, y₁) = (0, 0) the location of local station WDHS

For Zaxby's distance located at (2, -4) = (x₂, y₂)

So, d₁ = √[(x₂ - x₁)² + (y₂ - y₁)²]

= √[(2 - 0)² + (-4 - 0)²]

= √[(2)² + (-4)²]

= √[4 + 16]

= √20

= √(5 × 4)

= √5 × √4

= 2√5

= 4.47 miles

For McDonald's distance located at (4, -4) = (x₂, y₂)

So, d₂ = √[(x₂ - x₁)² + (y₂ - y₁)²]

= √[(4 - 0)² + (-4 - 0)²]

= √[(4)² + (-4)²]

= √[16 + 16]

= √32

= √(16 × 2)

= √16 × √2

= 4√2

= 5.66 miles

For Dunkin's distance located at (-3, 3) = (x₂, y₂)

So, d₃ = √[(x₂ - x₁)² + (y₂ - y₁)²]

= √[(-3 - 0)² + (-3 - 0)²]

= √[(-3)² + (-3)²]

= √[9 + 9]

= √18

= √(9 × 2)

= √9 × √2

= 3√2

= 4.24 miles

<u>Since Dunkin's distance, d₃ = 4.24 is the least distance from the radio station and is within range of 5 miles, we would hear better at Dunkin's.</u>

2) Are any of these location outside the range of the radio station? If so, which one(s). Defend your decision mathematically.

The radio station is outside of range if its distance is greater than 5 miles. That is, d > 5 miles.

So, we calculate the distance of each point from the radio station.

With (x₁, y₁) = (0, 0) the location of local station WDHS

For Zaxby's distance located at (2, -4) = (x₂, y₂)

So, d₁ = √[(x₂ - x₁)² + (y₂ - y₁)²]

= √[(2 - 0)² + (-4 - 0)²]

= √[(2)² + (-4)²]

= √[4 + 16]

= √20

= √(5 × 4)

= √5 × √4

= 2√5

= 4.47 miles

For McDonald's distance located at (4, -4) = (x₂, y₂)

So, d₂ = √[(x₂ - x₁)² + (y₂ - y₁)²]

= √[(4 - 0)² + (-4 - 0)²]

= √[(4)² + (-4)²]

= √[16 + 16]

= √32

= √(16 × 2)

= √16 × √2

= 4√2

= 5.66 miles

For Dunkin's distance located at (-3, 3) = (x₂, y₂)

So, d₃ = √[(x₂ - x₁)² + (y₂ - y₁)²]

= √[(-3 - 0)² + (-3 - 0)²]

= √[(-3)² + (-3)²]

= √[9 + 9]

= √18

= √(9 × 2)

= √9 × √2

= 3√2

= 4.24 miles

<u>So, for each of the distances calculated above, only McDonald's distance, d₂ = 5.66 miles > 5 miles. </u>

<u>So, McDonald's is out of range of the radio station.</u>

5 0
3 years ago
You are standing 15 feet away from your friend's apartment building and look to see your friend at an angle of elevation of 72º.
Maksim231197 [3]

Answer:

15arctan(72°)

Step-by-step explanation:

4 0
2 years ago
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