We begin by rearranging the triangles.
In the first triangle:
x+66+90=180
x+156=180
x=180-156
x=24
In the second triangle
y+90+24=180
y+114=180
y=180-114
y=66
Note: Similar triangles are the same shape, but not necessarily the same size.
We see that the angles in both triangles are exactly the same.
We conclude that the triangles are similar.
Answer:
(0, 4), (4, 2)
Step-by-step explanation:
Locate each point on the graph. If it is on the blue line, then it is a solution to the equation.
The solutions are:
(0, 4), (4, 2)
Answer:
A. x = 11√3
B. y = 11
Step-by-step explanation:
A. Determination of the value of x.
Angle θ = 60°
Hypothenus = 22
Opposite = x =?
We can obtain the value of x by using sine ratio as illustrated below:
Sine θ = Opposite / Hypothenus
Sine 60 = x / 22
√3/2 = x / 22
Cross multiply
2 * x = 22√3
Divide both side by 2
x = (22√3) / 2
x = 11√3
B. Determination of the value of y.
Angle θ = 60°
Hypothenus = 22
Adjacent = y =?
We can obtain the value of y by using cosine ratio as illustrated below:
Cos θ = Adjacent / Hypothenus
Cos 60 = y / 22
½ = y / 22
Cross multiply
y = ½ × 22
y = 11
Answer: Ok, so this question is confusing to me as well, and I have this same question on school. So when I get the answer, I will try to explain it to you the best I can. :) God Bless. Stay :D
Step-by-step explanation:
The range is {-5, -4, 2}.
Even though there are two 4s, it doesn't need to be written twice.
Hope this helps!!!
