Answer:
The angle ZLK has a value of 75 degrees.
Step-by-step explanation:
We can calculate this as:
We replace the angles values in the equation, as both angles that are formed with Z (MLZ and ZLK), when added, gives as the angle MLK. This allows us to calculate x. The value for x is -11.
Then, with the value for x we can calculate any of both angles.
The coordinates of all the vertices:
A = (-7,5)
B = (-5,8)
C = (-2,4)
Answer:
160 acres
Step-by-step explanation:
Given data
Total Amount of land= 280 Acres
Ratio=4:3
Total part = 4+3= 7
Applying the part to all method
let AI receive x acres
Then
4/7= x/280
cross multiply
7x= 280*4
7x=1120
x= 1120/7
x= 160
Hence AI will receive 160 acres
Answer:
6.75 grams
Step-by-step explanation:
Total amount of lemonade with Samantha = 4 1/2 gallons
= (4*2 + 1)/2 gallons = 9/2 gallons = 4.5 gallons
Amount of fat in 1 gallon of lemonade = 1.5 grams
To find amount of fat in 4.5 gallons lemonade
we multiply both side of equation with 4.5
Amount of fat in 1*4.5 gallon of lemonade = 1.5*4.5 grams = 6.75 grams
Thus,
there is 6.75 grams of fat in all the lemonade Samantha has for the party
1. (5x - 2) + 7x = 12x - 2
2. 6(x - 5) > 22
6x - 30 > 22
6x > 52
x > 52/6
x > 26/3
