<span>complimentary angels are those who add up to 90 degree
2x+10+48=90
2x+58=90
2x=90-58
2x=32
x=16</span>
Answer:
-9m - 4 + 2m = -9 - 7m + 5
-7m - 4 = -7m - 4
-7m + 7m = -4 + 4
0 = 0
This is an identity solution because the same number equals the same number. That means there's an infinite set of solutions.
Answer:The slope of the line that passes through (-10, 0) and (-13, 3) is "-1".
Given points are:
As we know, the formula,
→
By substituting the above points, we get
→
→
→
→
Thus the solution is right.
Step-by-step explanation:
Answer:
$0.558
Step-by-step explanation:
The expected value is the sum of the value of each outcome times the chance that it happens. In this case, there are two outcomes:
- Win $31 million
- Win $0
Then our expected value can be calculated as:

Answer:
Step-by-step explanation:
For a triangle the area is

If our triangle is isosceles and the 2 congruent sides each measure 4 and they include an angle of 40 degrees, let's say that the vertex angle is 40 and the sides that are not the base each measure 4. If we drop an altitude from the vertex to the base, we cut the triangle into 2 right triangles, with the vertex angle being 20 degrees and the hypotenuse being 4. To find the base, then, which is opposite the angle, we use the sin ratio:
and
4sin(20) = b so
b = 1.368
But we need the whole base, and that is only half of it. So
2b = 2.736
To find the height, which is adjacent to the angle, we use the cos ratio:
and
4cos(20) = h so
h = 3.759
Now we have enough info to find the area of the triangle using the triangle area formula from above:
and
A = 5 meters squared.