All the measures in a triangle are equal to 180 degrees.

Let the unknown angle= x.

40+89+x= 180

Combine like terms.

129+x= 180

Subtract 129 from both sides.

x= 51

The angle is equal to 51.

I hope this helps!
~kaikers

5 0

4 years ago

How many solutions exist for the given equation?<br>12×+1=3(4×+1)-2

Ipatiy [6.2K]

Answer:

infinite Solutions

Step-by-step explanation:

12x+1 = 12x+3-2

12+1 = 12x+1

The equation is same on both sides, so x can be anything.

5 0

3 years ago

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A bag contains 3 red, 6 blue, 5 purple, and 2 orange marbles. One marble is selected at random. What is the probability that the

mamaluj [8]

Answer:

$P(blue)=37.5\%$

Step-by-step explanation:

-Probability is the likelihood of an event occurring.

-The total number of events is:

$Total=3+6+5+2\\\\=16$

-The total number of blue events is:

$Blue=6$

#Probability of a blue is thus calculated as:

$P(Blue)=\frac{Blue}{Total}\\\\=\frac{6}{16}\\\\=0.375\\\\=37.5\%$

Hence, the probability of choosing a blue marble at random is 37.5%

6 0

3 years ago

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