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ehidna [41]
3 years ago
13

Find the measure of the missing angle using the triangle angle sum theorem

Mathematics
2 answers:
Greeley [361]3 years ago
7 0

Answer:

m∠60

Step-by-step explanation:

30 + 90 = 120

180-120=60

Svetllana [295]3 years ago
6 0

Answer:

x = 60°

Step-by-step explanation:

A triangle is equal to 180°

Make an equation and solve:

30° + 90° + x = 180°

120° + x = 180°

x = 180° - 120°

<u>x = 60°</u>

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Ksenya-84 [330]

Answer:

perimeter = 20.9 units

Step-by-step explanation:

perimeter

perimeter = distance around two dimensional shape

= addition of all sides lengths

<h2>perimeter of the figure</h2><h2>= AB+BC+CD+AD</h2>

distance formula:

d =  \sqrt{(  x_{2} -  x_{1})  {}^{2}   + ( y_{2} -  y_{1}) {}^{2}  }

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ab =  \sqrt{5 {}^{2} + 4 {}^{2}  }

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<h3>3) distance of CD</h3>

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x1 = 3 x2 = -4

y1 = 1 y2 = -3

cd =  \sqrt{( - 4 - 3) {}^{2}  + ( - 3 - 1)) {}^{2} }

cd =  \sqrt{( -   7) {}^{2}  + ( - 4 ){}^{2} }

cd =   \sqrt{65}

CD = 8.1 units

<h3>4) distance of AD</h3>

A(-3,0) D(-4,-3)

x1 = -3 x2 = -4

y1 = 0 y2 = -3

ad =  \sqrt{(  - 4 - ( - 3)) {}^{2}  +  ( - 3 - 0) {}^{2} }

ad =  \sqrt{( - 1) {}^{2} + ( - 3) {}^{2}  }

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<h2>perimeter of figure</h2>

= AB+BC+CD+AD

= 6.4 + 3.2 + 8.1 + 3.2

= 20.9 units

8 0
3 years ago
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valina [46]

Answer:

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