5/ sqrt (10)
no radicals in the denominator so we multiply by sqrt(10)/sqrt(10)
5/ sqrt (10)* sqrt(10)/sqrt(10)
5 * sqrt(10)
---------------
10
sqrt(10)
-----------
2
11) Since the triangle has a pair of congruent base angles, it is an isosceles triangle which means that the two pairs of legs are congruent.
Make them equal to each other in an equation.
5x = x + 20
Subtract x from both sides.
4x = 20
Divide both sides by 4.
x = 5
12) The two legs are congruent so that means the base angles must be congruent. First find the measure of the base angles. Create an equation:
x + x + 50 = 180
Combine like terms.
2x + 50 = 180
Subtract 50 from both sides.
2x = 130
Divide both sides by 2.
x = 65
Now make the base angle plus x equal 180, because they form a straight line.
65 + x = 180
Subtract 65 from both sides.
x = 115
13) You know the vertex angle (top angle) is 90 degrees because it is supplementary to a right angle. The triangle is isosceles because the two legs are congruent, so make the base angles plus 90 add up to 180 in an equation.
x + x + 90 = 180
Combine like terms.
2x + 90 = 180
Subtract 90 from both sides.
2x = 90
Divide both sides by 2.
x = 45
It would be 2800*0.04*4. Your final answer will be $448
Based on the line of best fit, the length of this catfish can be predicted to be 38 inches.
<u>Given the following data:</u>
- Weight of catfish, x = 40 pounds.
<h3>What is a line of best fit?</h3>
A line of best fit is also referred to as a trend line and it can be defined as a statistical (analytical) tool that is used in conjunction with a scatter plot, in order to determine whether or not there's any correlation between a data.
From the graph of the data, we have the following linear equation:
Substituting the value of x, we have:
y = 38 inches.
Read more on scatterplot here: brainly.com/question/6592115
