Answer:
KM = 7 Units
Step-by-step explanation:
In the given structure ΔKLM
∠KLM = 30° and side KL = 14 and ∠KML = 90°
and we have to find the measurement of KM.
From right angle triangle KLM
Side Sin30° = KM/KL = KM/14
KM = 14×sin30° = 14×1/2 = 7
So the answer is KM = 7 Units
3x - 4y = 8
y = mx + b ; m is the slope ; b is the y-intercept
-4y = -3x + 8
y = -3x/-4 + 8/-4
<u>y = 3/4 x - 2</u>
Need to check if the given choices have the same slope.
3x + 4y = -8
4y = -3x - 8
y = -3/4 x - 8/4 = -3/4 x - 2
6x - 8y = 12
-8y = -6x + 12
y = -6/-8 x + 12/-8
y = 3/4 x - 1 1/2
9x - 12y = 24 This equation would cause a consistent-dependent system
-12y = -9x + 24
y = -9/-12 x + 24/-12
<u>y = 3/4 x - 2</u>
16x + 12y = -10
12y = -16x - 10
y = -16/12 x - 10/12
y = -1 1/3 x - 5/6
3x + 6 = 48 (alternate angles are equal)
- 6
3x. = 42
÷3
x = 14 degrees
180-48 - 2y + 5y-9 =180
123 + 3y = 180
-123
3y = 57
÷3
y = 19 degrees
Explanation:
To find the last angle on the top straight line, do:
180 - (the 2 given angles).
So, 180 - (3x + 16, which is 48 due to alternate angles being equal). Then, minus the 2y.
(180 - 48 - 2y) & simplify => 132 - 2y
This gives you the equation for the missing angle on our top straight line.
Thus, co-interior angles add to 180. So, we add the new equation (132 - 2y) to 5y - 9.
Simplify
=> 123 + 3y (because - 2+5 =3)
and put it equal to 180. Solve for y
Hope this helps!
