The large triangle is an isosceles since both angles at the base each equal 42°.
In an isosceles triangle the altitude z is at the same time median , then it bisects the opposite side in the middle . So w = 120/2 = 60
Now let's calculate z:
tan 42° = (opposite side) / (adjacent side) = z/60
tan 42° = 0.9,
0.9 = z/60 and z = 54
Step-by-step explanation:
We have been given an equation y+6=45(x+3) in point slope form.
It says to use the point and slope from given equation to create the graph.
So compare equation y+6=45(x+3) with point slope formula
y-y1=m(x-x1)
we see that m=45, x1=-3 and y1=-6
Hence first point is at (-3,-6)
slope m=45 is positive so to find another point, previous point will move 45 units up then 1 unit right and reach at the location (-2,39).
Now we just graph both points (-3,-6) and (-2,39) and join them by a straight line. Final graph will look like the attached graph.
Answer:
2200 Square Yards
Step-by-step explanation:
Dimension of the Youth Soccer Field = 110 yards long and 60 yards wide.
- Therefore Area of the Youth Soccer Field = 110 X 60 =6600 Square Yards
Dimension of the professional soccer field =110 yards long and 80 yards wide.
- Area of the professional soccer field = 110 X 80 =8800 Square Yards
The difference in their Area = 8800-6600=2200 Square Yards
Therefore, the professional soccer field has an area of 2200 Square Yards more than the youth soccer field.
Answer:
Step-by-step explanation:
Divide so you get a decimal. 1/2 = 0.5. 2/3 = 0.666
0.666 > 0.5
So 1/2 is less than 2/3
48 + 4x < y ...ur inequality
