Answer:
y= 3
Step-by-step explanation:
The triangle on the left is a right triangle, so we can use trig functions to solve for the missing side, y.
First, find the length of the side that both triangles are connected to.
tan30=x/9
Isolate the x variable and solve.
9(tan30)=x
x= 5.19615
Now use the Pythagorean Theorem to solve for the side length, y.
a^2+ b^2 = c^2
(5.19615)^2+ b^2= 6^2
c= 3
Answer:
I think it goes like this:
4x+5x=180
9x=180
x=180:9
x=20
Step-by-step explanation:
Answer:
- 3, 16, - 22, 54
Step-by-step explanation:
Using the recursive formula with a₁ = - 3, then
a₂ = - 2a₁ + 10 = - 2(- 3) + 10 = 6 + 10 = 16
a₃ = - 2a₂ + 10 = - 2(16) + 10 = - 32 + 10 = - 22
a₄ = - 2a₃ + 10 = - 2(- 22) + 10 = 44 + 10 = 54
Thus
the first 4 terms of the sequence are
- 3, 16, - 22, 54
Answer:
10.5.
Step-by-step explanation:
By similar triangles:
IJ / 21 = 8 /(8+8) = 1/2
IJ / 21 = 1/2
IJ = 1/2 * 21
= 10.5.
