Answer:
When there are 108 presents, there are 60 candy canes
Step-by-step explanation:
candy canes : presents = 5:9
5/9 = x/108
cross multiply:
(5) (108) = 9x
540 = 9x, divide both sides by 9
x = 60
Answer:
2
Step-by-step explanation:
Using the rule of radicals
× 
⇔ 
Simplifying the radicals
= 
= 
× = 4
= 
= 
× = 2
Thus
+ 2 - 2
= 4 + 2 - 4 ← collect like terms
= 2
Answer:
f(-2)=-2
Step-by-step explanation:
we know that
x -----> is the independent variable or input value
f(x) ---> is the dependent variable or output value
f(-2) is the value of the function f(x) when the value of x is equal to -2
so
For x=-2
Looking at the graph
f(-2)=-2
For an input value of -2 the output value is -2
Answer:
∠C = 80 ° ; ∠ T = 40°.
Step-by-step explanation:
Triangle CRS is isosceles because it has two sides of equal length. (CR and CS are radii).
An isosceles triangle has also two equal angles, which means that ∠CRS= ∠CSR.
Therefore, ∠C = 80 ° (180° – 50° - 50°) because the sum of angles in a triangle is 180 degrees.
∠C is the central angle of the arc RS.
∠ T is the inscribed angle of the arc RS.
An inscribed angle is half of a central angle that subtends the same arc on the circle, so the inscribed angle ∠ T is half of the central angle ∠C. Since ∠C = 80 °, we can easily determine the measure of ∠ T:
80° divided by 2 is 40°.
