The triangle has one angle of 100 degrees, and the other two are equal.
We know that the angles of a triangle always add up to 180. To find the measurement of angle 1 and 2, let's solve for this equation.
2x + 100 = 180, where x=angle 1 = angle 2. Subtract 100 from both sides
2x = 80 Divide both sides by 2
x = 40
Answer:

And the best option would be:

Step-by-step explanation:
We assume that the distribution for the random variable is:

For this case we want to calculate the following probability:

And we can use the normal standard distribution or excel and we got:

And the best option would be:

Answer:
14 pounds
Step-by-step explanation:
The given equations can be solved for y by substituting for x. The first equation is convenient for writing x in terms of y.
<h3>Solution</h3>
x = 20 -y . . . . . . . subtract y from the first equation
7(20 -y) +5.5y = 119 . . . . . substitute for x in the second equation
140 -1.5y = 119 . . . . . . . . simplify
21 = 1.5y . . . . . . . . . . . add 1.5y -119 to both sides
14 = y . . . . . . . . . . . .divide by 1.5
14 pounds of soy nuts should be used in the mixture.
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<em>Additional comment</em>
There are many ways to solve a system of two linear equations. The attachments shows a matrix solution using a suitable calculator. It tells us that x=6 and y=14, as we found above.
<span>To convert a percentage to a decimal you move the decimal two places to the left. Therefore:
15.% becomes .15
You then multiply this decimal to the number you are trying to find the percentage of.
.15 × 60 = 9.
9 is 15% of 60.
</span>
Answer:
x = 19
Step-by-step explanation:
just subtract 1 from both sides of the equation