Factor the left side:-
x (19 + r) = -37 + w
x = ( -37 + w) / (19 + r) Answer
Answer:
It's Option A.
Step-by-step explanation:
Using the Cosine Rule:
cos < K = (3.9^2 - 1.9^2 - 2.8^2) / (-2 *1.9*2.8)
= 3.76 / -10.64
= - 0.3534.
m < K = 110.7 degrees.
Using the Sine Rule:
3.9 / sin 110.7 = 2.8 / sin <J
sin J = 2.8 sin 110.7/ 3.9 = 0.6716
m < J = 42.2 degrees
So m < L = 180 - (110.7 + 42.2)
= 180 - 152.9
= 27.1 degrees
A,C, and E are all correct answers
Answer:
33.68
Step-by-step explanation:
The two y values coming from I are equal.
The two x values coming from K are equal.
That's because tangents to a circle from the same external point are equal.
5x + 1 = 6x - 3 Add 3 to both sides
5x + 1 + 3 = 6x -3+3 Combine
5x + 4 = 6x Subtract 5x from both sides.
5x-5x+4=6x- 5x Combine
4 = x
===================
y + 10 = 4y + 2 Subtract y from both sides
y-y+10=4y-y+2 Combine
10 = 3y + 2 Subtract 2 from both sides
10-2=3y+2-2 combine
8 = 3y Divide by 3
8/3 = y
y = 2.67
====================
Now you just put x and y into the parts that make up IK.
IK should come out to 33.68