4 years ago

Two angles in a triangle measure 28 degrees and 93 degrees. What is the measure of the third angle?

Mathematics

2 answers:

timofeeve [1]4 years ago

7 0

Answer:

Step-by-step explanation:

By the Triangle Angle-Sum Theorem, all the angles of a triangle have to add up to equal 180. Therefore,

180 - 28 - 93 = 59.

The third angle has to measure 59 degrees.

Serggg [28]4 years ago

5 0

Answer:

Step-by-step explanation:

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3 years ago

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4 years ago

Two angles are supplementary. The measure of the larger angle is 12 less than 3 times the measure of the smaller angle.Find the

Irina18 [472]

Answer:

48 , 132

Step-by-step explanation:

Let smaller angle = x

Larger angle = 3x - 12

x & (3x - 12) are supplementary

So, x + 3x - 12 = 180°

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4x = 180 +12

4x = 192

x = 192/4

x = 48°

Larger angle = 3*48 - 12 = 144 - 12 = 132

6 0

3 years ago

<img src="https://tex.z-dn.net/?f=y%28t%29%20%3D%20a%20exp%282t%29%20%2B%20b%20exp%285t%29" id="TexFormula1" title="y(t) = a exp

DIA [1.3K]

$y(0)=2\implies 2=ae^{2(0)}+be^{5(0)}\implies 2=a+b$

$y'(t)=2ae^{2t}+5be^{5t}$
$y'(0)=3\implies 3=2ae^{2(0)}+5be^{5(0)}\implies 3=2a+5b$

Solving this should yield $a=\dfrac73$ and $b=-\dfrac13$ .

4 0

3 years ago