Answer:
y = 100x + 400
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (0, 400) and (x₂, y₂ ) = (1, 500) ← 2 points from the table
m = = 100
note the line crosses the y- axis at (0, 400) ⇒ c = 400
y = 100x + 400 ← equation of line
The angles of the triangle are 39°, 51°, and 90°.
Step-by-step explanation:
Step 1:
The sum of all the angles in any triangle is equal to 180°.
We have two of the three angles in terms of x while the third angle is not given directly. Since it is a right-angled triangle, one of the angles equals 90°.
So the angles of the triangle are
and
Step 2:
Now, we substitute all the angles to a sum of 180 to determine the value of x.
So x = 13°. The angles are
The angles of the triangle are 39°, 51°, and 90°.