By using parallel lines and transversal lines concept we can prove m∠1=m∠5.
Given that, a║b and both the lines are intersected by transversal t.
We need to prove that m∠1=m∠5.
<h3>What is a transversal?</h3>
In geometry, a transversal is a line that passes through two lines in the same plane at two distinct points.
m∠1+m∠3= 180° (Linear Pair Theorem)
m∠5+m∠6=180° (Linear Pair Theorem)
m∠1+m∠3=m∠5+m∠6
m∠3=m∠6
m∠1=m∠5 (Subtraction Property of Equality)
Hence, proved. By using parallel lines and transversal lines concept we can prove m∠1=m∠5.
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<h3>
Answer: 9t+8(101-t)</h3>
Work Shown:
t = number of hours tutoring
101-t = number of hours working as a waiter
The expressions t and 101-t add to 101.
9t = amount earned as a tutor, at $9 an hour
8(101-t) = amount earned as a waiter, at $8 an hour
9t+8(101-t) = total amount earned from both jobs
This does not account for taxes or other fees. Optionally, you can distribute the 8 through the (101-t) terms, then combine like terms to simplify.
Answer:
17.7
Step-by-step explanation:
<em>First off, we do not need to do anything to the 17, it is already set up for a decimal. So we have to find out how much 1/50 is so we divide:</em>
<u>Divide:</u>
1/50=0.02
<u>Multiply by 35:</u>
0.02 times 35= 0.7
<u>Add the 17:</u>
17+0.7=<em><u>17.7</u></em>
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Answer:
You need to attach the image
Step-by-step explanation:
Answer:
Option b is correct 175
Step-by-step explanation:
n = 7
k = 6
3k -2 ------1
put k = 6 in above eq. for finding first term
a1 = 3(6) - 2 = 18 - 2 = 16
put k = 7 in above eq. for finding first term
a2 = 3(7) - 2 = 21 - 2 = 19
a3 = 3 (8) - 2 = 24 - 2 = 22
16, 19 , 22, ... //Arithmetic series formation
a1 = 16 , a2 = 19
d = a2 - a1 = 19 - 16 = 3 //Difference of first two terms
Using sum forumula for arithmetic series
sum = 
= 
= 
= 
= 
= 7 * 25
= 175
