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Solnce55 [7]
3 years ago
13

Using the Exterior Angle Theorem, solve for the identified angle. WILL MAKE Brainliest!

Mathematics
2 answers:
Olegator [25]3 years ago
8 0

Answer:

30

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the opposite interior angles

150 = ?+120

Subtract 120 from each side

150-120 = ?

30 = ?

mars1129 [50]3 years ago
3 0

Answer:

\huge\boxed{

Step-by-step explanation:

<u>According to exterior angle theorem:</u>

The measure of the exterior angle is equal to the sum of non-adjacent interior angles.

So,

< VST = <STU + <SUT

150 = 120 + <SUT

<SUT = 150-120

<SUT = 30 degrees

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Sean is making a mosaic using tiles in the shape of right triangle. Each tile has leg measures 4 centimeter and 6 centimetres. W
Makovka662 [10]

Answer:

12 centimeters^{2}

Step-by-step explanation:

Length of first leg of a Right angle triangle= 4 centimeters

Length of second leg of a Right angle triangle= 6 centimeters

We have to find the area of tiles

Area of tiles= Area of  Right angle triangle

Area of a right angle triangle= \frac{1}{2} × base × Height

Area of a right angle triangle= \frac{1}{2} × 4×6

Area of a right angle triangle=12 centimeters^{2}

Hence , the correct answer is 12 centimeters^{2}

8 0
3 years ago
Plot six lines. Each line should pass through the origin and one of the six points. One is done for you.
frutty [35]
<h3>Solution (Line 2): <u>(Refer to graph 1)</u></h3>

<u>Note that:</u>

  • Given points: (0, -2) and (1, -4)
  • Slope formula: Rise/Run
  • Point slope form formula: y - y₁ = m(x - x₁)

To create the equation of the line, find the slope. Then, use point slope form to find the equation of the line.

<u>Use the slope formula to find the slope.</u>

  • Rise/Run = Slope
  • => Rise = -2; Run = 1
  • => Rise/Run = -2/1 = -2

<u>Use the point slope form formula.</u>

  • y - y₁ = m(x - x₁) = Equation of line.
  • => y - (-4) = -2(x - 1) = Equation of line.
  • => y + 4 = -2x + 2
  • => y = -2x + 2 - 4
  • => y = -2x - 2
<h3>Solution (Line 3): <u>(Refer to graph 2)</u></h3>

<u>Note that:</u>

  • Given points: (0, -2) and (-4, 3)
  • Slope formula: Rise/Run
  • Point slope form formula: y - y₁ = m(x - x₁)

To create the equation of the line, find the slope. Then, use point slope form to find the equation of the line.

<u>Use the slope formula to find the slope.</u>

  • Rise/Run = Slope
  • => Rise = -5; Run = 4
  • => Rise/Run = -5/4

<u>Use the point slope form formula.</u>

  • y - y₁ = m(x - x₁) = Equation of line.
  • => y - 3 = -5/4{x - (-4)} = Equation of line.
  • => y - 3 = -5/4{x + 4}
  • => y - 3 = -5x/4 - 5
  • => y = -5x/4 - 2
<h3>Solution (Line 4): <u>(Refer to graph 3)</u></h3>

<u>Note that:</u>

  • Given points: (0, -2) and (-3, -5)
  • Slope formula: Rise/Run
  • Point slope form formula: y - y₁ = m(x - x₁)

To create the equation of the line, find the slope. Then, use point slope form to find the equation of the line.

<u>Use the slope formula to find the slope.</u>

  • Rise/Run = Slope
  • => Rise = 3; Run = 3
  • => Rise/Run = 3/3 = 1

<u>Use the point slope form formula.</u>

  • y - y₁ = m(x - x₁) = Equation of line.
  • => y - (-5) = 1{x - (-3)} = Equation of line.
  • => y - (-5) = 1{x + 3}
  • => y + 5 = x + 3
  • => y = x - 2

Hoped this helped!

5 0
2 years ago
Roadway signs such as the one shown are used to warn drivers of an upcoming steep down grade. What is the grade, or slope, of th
Elis [28]
8% is the grade so it’s not a big one
8 0
3 years ago
What is the missing angle to a triangle if the two given angles are 80 degrees and 80 degrees?
Free_Kalibri [48]

Answer:

Step-by-step explanation:

one angle is 80

let other angle be 'x'

then third angle will also be equal to x. (given)

using angle sum property,

x + x + 80 = 180. (1)

2x=100

x=50. (2)

therefore all angles are 80,50,50

hope this helps

mark as brainliest

5 0
3 years ago
Read 2 more answers
Pls help with this question
inna [77]

Answer:

Opposite sides are congruent

Step-by-step explanation:

First off the equals sign with the wave over it means congruent. It wouldn't be either answer with diagonals because the segments that are congruent are sides of the parallelogram not diagonals. Next even though the congruent sides are parallel by providing the information (AB being congruent to CD and AD bring congruent to CB) opposite are parallel wouldn't be the answer because of what you are given.

Sorry if its wordy I hope this helps : )

5 0
3 years ago
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