As with any triangle, the sum of angles is 180°.
(a)
(x -5) +(3x +30) +35 = 180 . . . . . sum of angles is 180
4x +60 = 180 . . . . . . . . . . . . . . . . collect terms
4x = 120 . . . . . . . . . . . . . . . . . . . . subtract 60
x = 30 . . . . . . . . . . . . . . . . . . . . . . divide by 4
(b)
Angle A = x -5 = 30 -5 = 25
Angle B = 3x +30 = 3*30 +30 = 120
Answer:
(I can not see the options, so I will answer in a general way)
When we have a system of linear equations:
y = a*x + b
y = c*x + d
We have 3 possible options:
One solution: This happens when the lines intersect only one time, and the solution of the system is the point where the lines intersect.
No solutions: This happens when the lines do not intersect, is the case for parallel lines (lines with the same slope but different y-intercept)
Infinite solutions: This happens when the lines do intersect at infinite points, is the case for two equal lines (so both equations represent the same line)
Now we have the system:
y = m*x + b
y = -2*x + A
We want to find values of m and b, such that this system has no solutions.
Then we know that the lines must be parallel, again, the lines must have the same slope but different y-intercept.
Then we can use:
m = -2, b = A + 1
we will get:
y = -2*x + (A + 1)
y = -2*x + A
This system has no solutions.
Other pair can be:
m = -2, b = A + 3
we will get
y = -2*x + (A + 3)
y = -2*x + A
This system has no solutions.
5620/16=351.25
Meaning you'd need 352 16-ounce bottles to hold 5620 ounces of water.
<h2>
Explanation:</h2><h2>
</h2>
Here we need to simplify the square root of ten times square root of eight, so let's write this step by step:
Step 1. The square root of ten
Step 2. The square root of eight
Step 3. The square root of ten times square root of eight
Finally, the correct option is:
<em>Four square root of five</em>