F−g+(−2)f, minus, g, plus, left parenthesis, minus, 2, right parenthesis where f = -3.005f=−3.005f, equals, minus, 3, point, 005
valentina_108 [34]
Answer:
Step-by-step explanation:
Given
Required
Determine 
We have:
Open brackets
Substitute values for f and g
Solve
Given two angles of a triangle, we can find the third one by subtracting what we have from 180:
180-63.2-75.9=40.9°. This means C is correct.
This also means that B is correct; if a triangle is equilateral, all angles must be congruent as well, which these are not.
Cross multiplying the proportion we have:
x*1 = 3(y-3)
1x = 3y - 9
Solving for y, we first cancel the 9 by adding:
1x+9 = 3y
Now we cancel the 3 by dividing:
1x/3 + 9/3 = 3y/3
1/3x + 3 = y
In this format, we can see that the slope (m) is 1/3 and the y-intercept (b) is 3.
Going by the directions for the points P, Q, R, and S, PQ would be parallel to SR and PS would be parallel to QR. These sides are not parallel to any other sides of this figure.
For the last problem, the vertices given do not form a parallelogram. There is only 1 pair of parallel sides using these points.
Answer:
The table does not show the proportional relationship.
Step-by-step explanation:
When y varies directly with x, then the equation is
y ∝ x
y = kx
Where 'k' is called the proportionality constant.
Given the table
x 3 6 9 12
y 12 24 45 60
Let us check from the table whether the proportionality constant 'k' remains constant or not.
FOR (3, 12)
y = kx
k = y/x
= 12 / 3 = 4
FOR (6, 24)
k = y/x
= 24 / 6 = 4
FOR (9, 45)
k = y/x
= 45 / 9 = 5
FOR (12, 60)
k = y/x
= 60 / 12 = 5
From the above calculations, it is clear that the value of 'k' does not remain constant.
This means the value of 'k' for the points (6, 24) and (9, 45) is 4, while the value of 'k' for the points (9, 45) and (12, 60) is 5.
Hence, the table does not show the proportional relationship.
