Answer:
6 square root of 2
Step-by-step explanation:
sin theta = opposite / hypotenuse
sin 45 = 6/x
Multiply by x
x sin 45 = 6
Divide by sin 45
x sin 45/ sin 45 = 6 / sin 45
x = 6/ sin 45
x = 6/ (1/sqrt(2))
x = 6 sqrt(2)
Answer: Kate = 40/3 Her father = 50
Step-by-step explanation:
Let Kate's age in the present be K
And Kate's father's age in the present be F
3(K+5) = F+5
6(K-6) = F-6
Rearrange the first equation to get
3K+15 = F+5
3K+10 = F
Substitute that into the second question
6K-36 = 3K+10-6
3K = 40
K = 40/3
So F = 3*40/3+10 = 50
1 and 5 are corresponding angles, so both have the same measure:
m 1 = m 5
m 1 = 65º
Answer: option D. 65º.
I hope this helps. =)
Answer:
Point B = (-8 , -2) ⇒ the second answer
Step-by-step explanation:
∵ The figure ABCD is reflected across the x-axis
∴ The sign of y-coordinates of each point will change
Ex: If the point (x , y) reflected across the x-axis
its image will be (x , -y)
∵ B' = (-8 , 2)
∴ B = (-8 , -2) ⇒ the second answer
