10
20
22
32
Answer:
C. 22
Step-by-step explanation:
Inverse Alternate Interior Angles Theorem sttes that if two lines a and b are cut by transversal f so that the alternate interior angles are congruent, then a║b.
To prove that lines a and b are parallel, equate the measures of angles 96° and (6x-36)°:
Answer:
Option C.
Step-by-step explanation:
It is given that lines a and b are cut by transversal f.
If a transversal line intersect two parallel lines, then the alternate exterior angles are same.
We need to find the value of x so that lines a and b are parallel lines cut by transversal f.
So, equate both alternate exterior angles.
Add 36 on both sides.
Divide both sides by 6.
The value of x is 22. Therefore, the correct option is C.
−4x−y=4
Enter your answer in the box.
y =
The value of 8n is 16.
In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations that are formed according to rules which are dependent on the context.
n=2
8n
Substitute the value of n is 8n,
Therefore, the value of 8n is 16.
Learn more about Expression:
The bakery can make 420 bagels in 20 hours that the rate per hour would be 21.
A ratio is defined as a relationship between two quantities, it is expressed as one divided by the other
What are Arithmetic operations?
Arithmetic operations can also be specified by adding, subtracting, dividing, and multiplying built-in functions.
/ Division operation: Divides left-hand operand by right-hand operand
For example 4/2 = 2
We have been given that the bakery can make 210 bagels in 10 hours.
We have to determine the number of bagels can they bake in 20 hours.
Let x bagel would be they bake in 20 hours
We can write this as a ratio as
210 bagel : 10 hours = x bagel : 20 hours
⇒ 210/10 = x/20
⇒ 21 = x/20
⇒ x = 21×20
⇒ x = 420
And rate per hour would be 420/20 = 21
Therefore, they can bake 420 bagels in 20 hours.
Learn more about the Ratio here:
#SPJ2