<u>Given </u>that the length of the hypotenuse is 8 and the angle is 42°
The length of the one leg of the triangle is x.
We need to determine the value of x.
<u>Value of x:</u>
The value of x can be determined using the trigonometric ratio.
Thus, we have;
Substituting the values, we get;
Multiplying both sides of the equation by 8, we get;
Simplifying, we get;
Therefore, the value of x is 5.35(app.)
Hence, Option A is the correct answer.
Vertex form for a parabola with vertex (p,q) is
We have (p,q)=(-4,5) and another point (-3,2) so we can solve for <em>a:</em>
Putting it together,
Answer: 
We could multiply that out if we like but I won't bother.
Answer:
Area of given figure = 96 unit²
Step-by-step explanation:
Given:
Length of shape = 4 unit
Width of shape = 4 unit
Height of shape = 4 unit
Find:
Area of given figure
Computation:
All side of figure all equal
So,
Given figure is a cube
Number of faces of cube = 6
Area of base = side x side
Area of base = 4 x 4
Area of base = 16 unit²
Area of given figure = Area of base x Number of faces of cube
Area of given figure = 16 x 6
Area of given figure = 96 unit²
2(x - 5) = 110
2x - 10 = 110
Add 10 to both sides.
2x = 120
Divide by 2 on both sides.
x = 60
Answer: Choice A) Triangle ABC is similar to triangle ACD by AA
AA stands for Angle Angle. Specifically it means we need 2 pairs of congruent angles between the two triangles in order to prove the triangles similar. Your book might write "AA similarity" instead of simply "AA".
For triangles ABC and ACD, we have the first pair of angles being A = A (angle A shows up twice each in the first slot). The second pair of congruent angles would be the right angles for triangle ABC and ACD, which are angles C and D respectively.
We can't use AAS because we don't know any information about the sides of the triangle.
