Answer:
i. LM || NO (converse alternate interior angle theorem)
ii. <1 ≅ <2 (alternate interior angle theorem)
Step-by-step explanation:
Two or more lines are said to be parallel if they do not meet when extended, even till infinity.
Alternate angles are said to be equal in measure.
Given that;
<1 ≅ < 3,
Since <2 ≅ <3 (alternate interior angle theorem)
Then,
<1 ≅ <2 (transitive property)
Also,
<1 ≅ <2 (alternate interior angle theorem)
Therefore since <1 ≅ <2, thus;
LM || NO (converse alternate interior angle theorem)
Answer:
x = 60
Step-by-step explanation:
The sum of the angles of a triangle is 180
95+25 +x = 180
120 +x = 180
Subtract 120 from each side
120+x-120 = 180-120
x = 60
The jeep gets 22 miles per gallon...
he has 5 gallons in the tank already....
buys gas at 1.25 per gallon.....spends $ 22...so he buys 22 / 1.25 = 17.6 gallons
so he has a total of (5 + 17.6) = 22.6 gallons....at 22 miles per gallon =
22.6 * 22 = 497.2 miles <==
Answer: She will pay $52.68, including taxes
Step-by-step explanation: One can of tennis ball is $4 and there are no discount on it. Elena bought 3 cans, so:
can = 3 x 4 = 12
One tennis racket is $43 but it has a discount of 15%:
discount = 0.15 x 43 = 6.45
total racket = 43 - 6.45 = 36.55
Elena will have to pay:
pay = 12 + 36.55 = 48.55
She will also have to pay taxes, which are 8.5% over the price she paid:
pay + tax = 48.55 x 0.085 = 4.13
total to pay = 48.55 + 4.13 = 52.68
Buying 3 can of tennins ball and one racket, Elena paid $52.68, including taxes.
The perpendicular line would have a slope of 1/3.
Perpendicular lines have opposite and reciprocal slopes.
To do the opposite, take the original slope (-3) and change the sign (3).
To do the reciprocal, take the slope we changed (3) and flip it as a fraction (1/3).
This gives us a new slope of 1/3.
