First, we need to find the missing leg of triangle ACD. We have to use pythagorean theorem to find the missing leg.
a^2 + b^2 = c^2
In this problem,
a = 2
b = ?
c = 5
Plug our numbers into the formula above.
2^2 + b^2 = 5^2
Simplify our terms
4 + b^2 = 25
Subtract 4 from both sides
b^2 = 21
Take the square root of each side
b = √(21)
Now, we can solve for the area of triangle ABC
Area of a triangle = (h * b) / 2
h = height
b = base
In this problem,
h = √(21)
b = 5.0
Plug our numbers into the area formula of a triangle
Area = (√(21) * 5) / 2 = 11.46 square units
9514 1404 393
Answer:
- The are congruent.
- They are non-adjacent.
Step-by-step explanation:
Where a transversal crosses parallel lines, the angles outside the parallel lines are called exterior angles. When they are on opposite sides of the transversal, they are <em>alternate exterior angles</em>.
Alternate exterior angles are congruent.
The share a side (the transversal, but not a vertex. So they are non-adjacent.
_____
<em>Additional comment</em>
In this geometry, <em>corresponding</em> angles are congruent. Of course, vertical angles are always congruent. Each alternate exterior angle is a vertical angle with one that is corresponding to the other alternate exterior angle.
Answer:
a) = 0.9739
b) = 0.969
c) option A is correct
Step-by-step explanation:
Given that:
sample size n = 30
SST = 1803
SSR = 1756
The adjusted 
is computed as:
where;
14 and 15.
the square root of 14 is 196.
the square root of 15 is 225.
200 is in between those 2 numbers
Answer:
26. t<-70 see description below.
Step-by-step explanation:
To solve an inequality in one variable, solve using inverse operations like any other equations. However, if dividing or multiplying by a negative at any points, flip the sign of the inequality.
Example:
-7 was multiplied to as an inverse operation to division by -7. Because it was negative, the inequality sign was flipped. To graph, plot -70 on the number line with an open circle. Then draw an arrow from -70 to the left.
