1. ∠1 ≅ ∠3 1. given
∠1 and ∠6 are supplementary angles
∠3, ∠4, and ∠5 are supplementary angles
2. m∠1 = m∠3 2. definition of congruency
3. m∠1 + m∠6 = 180° 3. definition of supplementary angles
m∠3 + m∠4 + m∠5 = 180°
4. m∠3 + m∠4 + m∠5 = m∠1 + m∠6 4. transitive property
5. m∠3 + m∠4 + m∠5 = m∠3 + m∠6 5. substitution property
6. m∠4 + m∠5 = m∠6 6. subtraction property of equality
Answer: 21
Step-by-step explanation:
Given : Lindsay and Lorraine are trying to match the jump rope world record.
Number of jumps they need to jump together in a row = 48
Lindsay has gotten 14 jumps in a row, and Lorraine has gotten 13.
Total jumps = 14+13=27
Let 'j' be the number of more jumps they need to match the record.
j= Total jumps needed - Total jumps they already gotten
⇒ j= 48-27
⇒ j= 21
Hence, they need 21 more jumps to match the record.
Let the 2 equal lengths be represented by 2p. Then you can write the equation of ratios
p 2p
---- = -------
16 x+4
which simplifies to
1 2
----- = ------
16 x+4
then x+4 = 32, and x = 28 (answer)
The amount he had to pay if he have to purchase a laptop today that is the same value as the one he saw in the ad is $ 390.24.
Given that:-
Price of the laptop after 1 year = $ 400.
Inflation rate = 2.5 %
We have to find the amount he had to pay if he have to purchase a laptop today that is the same value as the one he saw in the ad.
Let the price he had to pay be x.
Hence, we can write,
x + (x*(2.5)*1)/100 = 400
x(1 + 1/40) = 400
x(41/40) = 400
x = 400*40/41 = $ 16000/41 = $ 390.24.
To learn more about amount, here:-
brainly.com/question/8082054
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