Answer:
m∠T = 72°
m∠U = 54°
Step-by-step explanation:
Property of an isosceles triangle,
Opposite angles of two equal sides of an isosceles triangle are equal in measure.
By this property, in the given triangle STU,
Since, ST ≅ TU,
m∠S = m∠U = 54°
Since, sum of interior angles of a triangle is 180°
m∠T + m∠S + m∠U = 180°
m∠T + 54° + 54° = 180°
m∠T = 180° - 108°
m∠T = 72°
Number times landing on green) = 150 * 1/5 = 30
Number times landing on yellow = 150 * 1/5 = 30
Answer 60 times
Answer:
The rate of change of a linear function = 5/4
Step-by-step explanation:
Given that a linear function includes the points (2, 3) and (6, 8).
So we have the points
We know that the rate of change of a function is also termed as the slope of the function.
In other words, the slope of the linear function gives us the rate of change of the linear function.
Thus,
Determining the rate of change or slope between (2, 3) and (6, 8)
Using the formula
Rate of change = Slope = [y₂ - y₁] / [x₂ - x₁]
= [8 - 3 / [6 - 2]
= 5 / 4
Thus, the rate of change of a linear function = 5/4
Answer:
49% of the lights are on!
Answer:
Step-by-step explanation:
To factor an expression you have to first find the highest common factor (HCF) of the numbers in the expression. You divide them by their HCF, bracket it and place the HCF outside the bracket.
To check if it is factored properly you can do the opposite of what you just did by clearing the bracket.
9 (7 + 9)
(9 x 7) + (9 x 9)
= 63 + 81
