Given: m ∠3 = m ∠4
To Prove: ∠1, ∠2 are supplementary .
Proof : m ∠3 = m ∠4 ( Given) ------------(1)
m<2 + m< 3 = 180 degrees ( <2 and <3 form a linear pair). ----------(2)
m< 4 = m<1 (Vertical angles are equal) -----------(3).
Substituting, m<4 =m<1 in (1), we get
m ∠3 = m ∠1.
Now, substituting m ∠3 = m ∠1 in (2), we get
m<2 + m< 1 = 180 degrees.
Sum of m <1 and m<2 is 180 degrees.
Therefore,<em> ∠1, ∠2 are supplementary by the defination of supplementary angles.</em>
The store clerk gave the customer:
Gas. . . . . . . . . 17.01
$5 ticket . . . . . . 5
$3 ticket . . . . . . 3
2 x $1 ticket . . . 2
Total. . . . . . . $27.01
The customer gave the store clerk:
$5 ticket . . . 5
$2 ticket . . . 2
cash. . . . . 100
Total. . . . $107
The store clerk owes the customer ($107 - $27.01) = $ 79.99 .
Answer:
Q=(1,-5)
R=(5,-5)
S=(2,-7)
Step-by-step explanation:
Answer:vhv
Step-by-step explanation:hhgjhghjgjg
Answer:
2 1/3 times as far
Step-by-step explanation:
The ratio of distances is ...
(Monday distance) / (Tuesday distance) = (6 2/9)/(2 2/3)
= (56/9)/(8/3) = (56·3)/(8·9) = 7/3 = 2 1/3
They hiked 2 1/3 times as far on Monday as they did on Tuesday.
