Answer:
x = 10
I used the Interior Angles of a Triangle Rule --The sum of all 3 interior angles in a triangle is always 180°.
(3x + 28) + (5x - 18) + 90° = 180°
Now i can get rid of the parentheses and combine like terms.
3x + 5x + 28 - 18 + 90 = 180
8x + 10 + 90 = 180
8x + 100 = 180
Then i subtract 100 from both sides to isolate x.
8x + 100 - 100 = 180 - 100
8x = 80
Then, i divide both sides by 8 to find x.
8x ÷ 8 = 80 ÷ 8
x = 10
Answer:
A
Step-by-step explanation:
Axis of symmetry is the x value of the vertex
the x value of the vertex, in form
y=ax^2+bx+c is -b/(2a)
so
y=-5x^2-10x-15
a=-5
b=-10
x value of vertex is -(-10)/(2*-5)=10/-10=-1
x=-1 is axis of symmetry
Answer:
ok
Step-by-step explanation:
Answer:
Constant of proportionality = 24
Equation: 
Step-by-step explanation:
Given:
'x' and 'y' are proportional to each other.
At 
Now, for a proportional relationship, the constant of proportionality is given as the ratio of the two values of the two variables that are in proportion.
Here, 'x' and 'y' are in proportion. So, the constant of proportionality is given as:

Therefore, the constant of proportionality is 24.
Now, a proportional relationship in 'x' and 'y' is given as:

Now, plug in the given value of 'k' and complete the equation. This gives,

Therefore, the equation that relates 'x' and 'y' is 