All categories

2 years ago

Given: l || m; ∠1 ∠3

Mathematics

1 answer:

Katarina [22]2 years ago

3 0

The parts that are missing in the proof are:

It is given

∠2 ≅ ∠3

converse alternate exterior angles theorem

<h3>What is the Converse of Alternate Exterior Angles Theorem?</h3>

The theorem states that, if two exterior alternate angles are congruent, then the lines cut by the transversal are parallel.

∠1 ≅ ∠3 and l║m because we are: given

By the transitive property,

∠2 and ∠3 are alternate interior angles, therefore, they are congruent to each other by the alternate interior angles theorem.

Based on the converse alternate exterior angles theorem, lines p and q are proven to be parallel.

Therefore, the missing parts pf the paragraph proof are:

It is given
∠2 ≅ ∠3
converse alternate exterior angles theorem

Learn more about the converse alternate exterior angles theorem on:

brainly.com/question/17883766

#SPJ1

You might be interested in

Can someone help with this

Zinaida [17]

Answer:

C and E

Step-by-step explanation:

-2/3 = -0.66

so hence forth

2/3 = 0.66

- (2/3) = -0.66 and

2/-3 = -0.66

5 0

3 years ago

Can choose multiple answers :))

Nady [450]

A.) f(x) = x^2 because 2 > 1. So f(2) = 4.

A is correct.

B.) f(x) = x^2 because 5 > 1. So f(5) = 25.

B is incorrect.

C.) f(x) = 2x because -2 < 1. So f(-2) = -4.

C is incorrect.

D.) f(x) = 5 because x = 1.

D is correct.

So the answer is A and D.

8 0

4 years ago

The table shows a proportional relationship between the number of pounds of grapes

WINSTONCH [101]

Answer:

Pounds of grapes: 8; total cost: $5.52

Step-by-step explanation:

Find the proportional relationship for 1. 1:0.69
You can eliminate 3 off the top
Try 11 first since it is the largest and the table is increasing in pounds. 11:7.59 (incorrect)
Try 8. 8:5.52 (correct)

3 0

3 years ago

Read 2 more answers

Let f(x)=5(x^2-3)+10. which statement must be true?

Maslowich

Find where the expression
x
−
5
x
2
−
25
x
-
5
x
2
-
25
is undefined.
x
=
−
5
,
x
=
5
x
=
-
5
,
x
=
5
Since
x
−
5
x
2
−
25
x
-
5
x
2
-
25
→
→
−
∞
-
∞
as
x
x
→
→
−
5
-
5
from the left and
x
−
5
x
2
−
25
x
-
5
x
2
-
25
→
→
∞
∞
as
x
x
→
→
−
5
-
5
from the right, then
x
=
−
5
x
=
-
5
is a vertical asymptote.
x
=
−
5
x
=
-
5
Consider the rational function
R
(
x
)
=
a
x
n
b
x
m
R
(
x
)
=
a
x
n
b
x
m
where
n
n
is the degree of the numerator and
m
m
is the degree of the denominator.
1. If
n
<
m
n
<
m
, then the x-axis,
y
=
0
y
=
0
, is the horizontal asymptote.
2. If
n
=
m
n
=
m
, then the horizontal asymptote is the line
y
=
a
b
y
=
a
b
.
3. If
n
>
m
n
>
m
, then there is no horizontal asymptote (there is an oblique asymptote).
Find
n
n
and
m
m
.
n
=
1
n
=
1
m
=
2
m
=
2
Since
n
<
m
n
<
m
, the x-axis,
y
=
0
y
=
0
, is the horizontal asymptote.
y
=
0
y
=
0
There is no oblique asymptote because the degree of the numerator is less than or equal to the degree of the denominator.
No Oblique Asymptotes
This is the set of all asymptotes.
Vertical Asymptotes:
x
=
−
5
x
=
-
5
Horizontal Asymptotes:
y
=
0
y
=
0
No Oblique Asymptotes

5 0

3 years ago

HELP ME PLEASE!!!!!!!

WITCHER [35]

It’s the first answer

He can’t just decided what x is he has to solve for it

3 0

4 years ago