Answer:
C. ,
Step-by-step explanation:
We have been given an image of two intersecting lines. We are asked to find the value of x and y for our given diagram.
We know that when two line intersect each other, then vertical angles are congruent.
Using vertical angles theorem, we will get a system of equations as sown below:
From equation (1), we will get:
Upon substituting this value in equation (2), we will get:
Therefore, the value of y is 10.
To find the value of x, we will substitute in equation (1) as:
Therefore, the value of x is 50 and option C is the correct choice.
If devi bought 8 m of ribbon, and used 5/8 m for 6 bows then she has 2 m of that bow left
Answer:
f(8) = 44
Step-by-step explanation:
f(x) = 6x-4
Let x = 8
f(8) = 6(8) - 4
Multiply
= 48 -4
= 44
Answer:
yard
Step-by-step explanation:
Length of string Mrs. Ruiz has = yard
Mrs. Ruiz needs to hang 3 banners using the string.
Having known that each banner uses same length of string to be hung we can divide total length of sting into 3 equal parts.
So, we can divide yard by 3 as
⇒
Changing the division sing to multiplication by taking reciprocal of divisor.
⇒
We can now multiply numerators and denominators.
⇒ yard
∴ Mrs. Ruiz must used yard of string for each banner.
Answer: her speed on the bicycle is 8 mph
Step-by-step explanation:
Let x represent the speed at which she walks. If she rides 6 mph faster than she can walk, then the speed at which she rides is (x + 6) mph
Distance = speed × time
Eli walk from her house to a friends house in one hour. This means that the distance covered is 1 × x = x miles.
Distance on her bicycle in 15 minutes. Converting 15 minutes to hours, it becomes 15/60 = 0.25 hour. Distance covered while riding is 0.25(x + 6) = 0.25x + 1.5
Since the distance is the same,then
x = 0.25x + 1.5
x - 0.25x = 1.5
0.75x = 1.5
x = 1.5/0.75
x = 2
her speed on the bicycle is
x + 6 = 2 + 6 = 8 mph