Answer:
5.25 + 2.50 = 7.75. 10 - 7.75 =2.25
Step-by-step explanation:
Answer:
m<ABC = 45
m<DBC = 34°
Step-by-step explanation:
Given:
m<ABD = 79°
m<ABC = (8x - 3)°
m<DBC = (5x + 4)°
Step 1: Generate an equation to find the value of x
m<ABC + m<DBC = m<ABD (angle addition postulate)
(8x - 3) + (5x + 4) = 79
Solve for x
8x - 3 + 5x + 4 = 79
13x + 1 = 79
Subtract 1 from both sides
13x + 1 - 1 = 79 - 1
13x = 78
Divide both sides by 13
x = 6
Step 2: find m<ABC and m<DBC by plugging the value of x into the expression of each angle
m<ABC = (8x - 3)°
m<ABC = 8(6) - 3 = 48 - 3 = 45°
m<DBC = (5x + 4)°
m<DBC = 5(6) + 4 = 30 + 4 = 34°
Step-by-step explanation:
!!
I believe its 2 nut only if the triangle is up to scale <span />
The gaph should be a parabola
g(x) = -x² + 10x - 30
the equation of a quadratic in vertex form is
y = a(x - h)² + k
where (h, k ) are the coordinates of the vertex and a is a multiplier
here vertex = (5, - 5 ), hence
y = a(x - 5)² - 5
to find a substitute the point on the graph (8, - 14) into the equation
- 14 = 9a - 5 ⇒ 9a = - 9 ⇒ a = - 1
y = - (x - 5)² - 5 = - (x² - 10x + 25) - 5 = - x² + 10x - 30
g(x) = - x² + 10x - 30 ← in standard form
