You can observe that angle 1 and angle with 47° are inside a parallelogram.
Consider that the sum of the internal angles of a parallelogram is 360°.
Moreover, consider that the angle at the top right of the parallogram is congruent with the angle of 47°, then, such an angle is if 47°.
Consider that angle down right side is congruent with angle 1, then, they have the same measure.
You can write the previous situation in the following equation:
47 + 47 + ∠1 + ∠1 = 360 simplify like terms
94 + 2∠1 = 360 subtract both sides by 94
2∠1 = 360 - 94
2∠1 = 266 divide by 2 both sides
∠1 = 266/2
∠1 = 133
Hence, the measure of angle 1 is m∠1 = 133°
Answer:
The correct answer would be the bottom equation.
Step-by-step explanation:
y=7.25x
y=7.25(3)
y=21.75
y=7.25(4)
y=29.00
y=7.25(5)
y=36.25
Answer:
x=4
Step-by-step explanation:
4x+24=8x+2x
4x+24=10x
-4x -4x
24=6x
/6 /6
x=4
P + v = 650....p = 650 - v
4p + 9v = 2925
4(650 - v) + 9v = 2925
2600 - 4v + 9v = 2925
-4v + 9v = 2925 - 2600
5v = 325
v = 325/5
v = 65.....video files
p + v = 650
p + 65 = 650
p = 650 - 65
p = 585....photo files
answer : Helena uploaded 9 times as many photo files as video files
65 * 9 = 585
Answer:
Janice and Karen could do in 1 day:
Step-by-step explanation:
To identify how much of the job could janice and caren do in 1 day, first, we must find how much of the job make just 1 person at the same rate:
If three persons make a job in 3 1/3 days, 1 person make the job in x:
- 3 persons ⇒ 3 1/3 days or 10/3 days
- 1 person ⇒ x
Then:
(we cancel the unit "persons")
- x = 10 days
Just a person would need 10 days to complete a job, now, we're gonna divide this value in 2 to obtain the time that need two persons to complete a job:
- Time to complete a job between 2 persons =

- Time to complete a job between 2 persons = 5 days
How two persons need 5 days to complete a job (in this case, the two persons are Janice and Karen), we can make a simple rule of three to obtain the percentage made in 1 day:
- 5 days ⇒ 100% of a job
- 1 day ⇒ x
Then:
(you can use the % if you want, the result is the same)

As you can see, <u><em>Janice and Karen just in a day could do 20% of the job</em></u>.