Step-by-step explanation:
Given :
Given that lines a and b are parallel, angles 1 and 5 are congruent because they are corresponding angles, and angles 1 and 4 are congruent because they are vertical angles
To find : by which property are angles 4 and 5 congruent
Solution :
We know that if two parallel lines are cut by a transversal, then the pairs of alternate interior angles are congruent.
Also, we know that if two things are equal to the same thing then they are equal to each other . In this case, we can say that if two angles are congruent to a third angle, then they are congruent to each other. As angles 4 and 5 are both congruent to angle 1, they are congruent to each other but angles 4 and 5 are alternate interior angles. So, if parallel lines have a transversal, alternate interior angles are congruent.
Which of the following is NOT discussed in this excerpt?
A.
One can follow certain steps to learn to improve the quality of one’s life.
B.
Men are too easily lured by monetary gain.
C.
Authors have not addressed how humankind should earn a living through their literature.
Answer:
s = 2j
Step-by-step explanation:
Given - Ada makes sparkling juice by mixing 2 cups of sparkling water
with every 4 cups of apple juice. Let s represent the number of
cups of sparkling water and j represent the number of cups of
apple juice.
To find - Write an equation that shows how s and j are related.
Proof -
Let total number of cups of sparkling water make = s
Total number of cups of apple juice make = j
Now,
Given that, Ada makes sparkling juice by mixing 2 cups of sparkling water with every 4 cups of apple juice.
⇒2s = 4j
⇒s = 2j
∴ we get
Ada can makes sparking water by mixing 2j cups of sparking water with every j cups of apple juice.
Hello,
505/1 000 = ( 505 / 5 ) / ( 1 000 / 5 ) = 101/200
Bye :)
Answer:
c(4) = -76
Step-by-step explanation:
c(x) x=4 so plug 4 in for x
-5(4)² + (4)
Do parentheses first so... 4² = 16
-5(16) + 4
-5(16) = -80
-80+4 = -76
c(4) = -76
