1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Anna35 [415]
3 years ago
13

The figure below shows a straight line AB intersected by another straight line t:

Mathematics
1 answer:
BaLLatris [955]3 years ago
4 0

When two straight lines intersect, the pairs of nonadjacent angles in opposite posi-tions are known as vertical angles.

If a segment AB is intersected by a transversal labeled t, then ∠1 and ∠3 and ∠2 and ∠4 are vertically angles formed by the transversal t on the segment AB.

Angles ∠1 and ∠2 can be described as adjacent and supplementary angles, so

m\angle 1+m\angle 2=180^{\circ}.

Angles ∠3 and ∠2 can be also described as adjacent and supplementary angles, so

m\angle 3+m\angle 2=180^{\circ}.

Subtract from the first equation the second equation:

m\angle 1+m\angle 2-(m\angle 3+m\angle 2)=180^{\circ}-180^{\circ},\\ m\angle 1-m\angle 3=0,\\ m\angle 1=m\angle 3.

Similarly you can prove that m\angle 2=m\angle 4.

You might be interested in
write a slope intercept equation for a line passing through the point (2,-2) that is parallel and perpendicular to the line x=-1
vekshin1

You would need two different lines to complete this as lines cannot be both parallel and perpendicular (these are opposites). The answers would be:

Parallel: x = 2

Perpendicular: y = -2

In order to find these, we first need to see that the original line of x = -1 is a horizontal line. Therefore, any line that is parallel should be horizontal as well. To get a horizontal line through the point (2, -2), the only option is x = 2.

Similarly, with the perpendicular line, if the original line is horizontal, the new line must be vertical. The only vertical line that goes through (2, -2) is y = -2.

5 0
2 years ago
99 to the power of 69
Nimfa-mama [501]
4.998370298991988e+137
Well, thats a large number. Trust me, im a "prodigy"
4 0
2 years ago
Read 2 more answers
Solve for u.<br><br> 18 = - 6/5 u<br><br> Simplify your answer as much as possible .
zmey [24]
The answer is

u = -15, hope this helps!
5 0
2 years ago
Read 2 more answers
How many planes appear in this figure ​
Studentka2010 [4]

Answer:

what is the figure

Step-by-step explanation:

3 0
3 years ago
What are the like terms in the expression below?
Verizon [17]

Answer:

none of the question choices are, like terms are 3x and 8x

4 0
3 years ago
Read 2 more answers
Other questions:
  • Holly's favorite book is about Johnny Appleseed, the American pioneer who planted apple trees all across the country. Inspired b
    12·2 answers
  • Help me out some one
    6·1 answer
  • 567+4+10. What is the answer
    10·1 answer
  • How far is 0, 7 from the origin
    5·1 answer
  • 7 is not an example of <br> A) a variable <br> B) an expression <br> C) a constant <br> D) a term
    15·2 answers
  • A soup recipe uses 6 cups of water for cups of tomato sauce and 5 cups of tomato puree if 4 cans of tomato sauce cost $2 what is
    7·1 answer
  • A deep sea diver started at sea level (0 feet) and dove at a rate of 5.6 feet per minute. If the diver dove for ½ hour, what rat
    13·1 answer
  • Choose the solution to this inequality.<br> 72≥b+95
    10·1 answer
  • Help asap!!! 50 points total if u get big brain! elect the expressions that are equivalent to 10 + 2x + 5y + 3x.
    15·2 answers
  • Function rule to find f(7).
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!