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.
Answer:
x=-3.5 or -7/2 (same thing)
y=21/5
Step-by-step explanation:
x intercept is when y=0
y intercept is when x=0
so
x intercept is
-6x=21
x=21/-6
x=-3.5
y intercept is
5y=21
y=21/5
Answer:
20
Step-by-step explanation:
We write what we know.
Jimmy
$50/mo app 65¢ or .65
Lisa
$55/mo app 40¢ or .40
a = number of apps
The difference will come from the number of apps, a.
We need them to equal each other so let's write an equation.
$50 + .65a = $55 + .40a
We need to solve for a.
$50 + .65a = $55 + .40a subtract $50 for each side.
$50 - $50 + .65a = $55 - $50 + .40a
.65a = $55 - $50 + .40a
.65a = $5 + .40a subtract .40a from each side
.65a - .40a = $5 + .40a - .40a
.65a - .40a = $5
.25a = $5 Divide each side by .25
.25a/.25 = $5/.25
a = $5/.25
a = 20
So Jimmy and Lisa need to download 20 apps for their bill to be the same.
Answer:
1. congruent
corresponding
2.supplementary
same side interior
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
