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svp [43]
3 years ago
6

Find the measure of the numbered angles for the parallelogram in question one!!!

Mathematics
1 answer:
vodka [1.7K]3 years ago
7 0
1) 70
2) 110
3) 70

because 110 is equivalent to angle 2. angle 1 and 3 are also equivalent so you add 110 + 110 which equals 220 and subtract 360-220 which equals 140 and divide by 2 to get angles 1 and 3.
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The Lewis family and the Martin family each used their sprinklers last summer. The water output rate for the Lewis family's spri
MrRa [10]

Answer:

Martin family: 20 hours

Lewis family: 35 hours

Step-by-step explanation:

Let's say that the Lewis family sprinklers were out for L hours and the Martin family's sprinklers were out for M hours. We know that for each hour that the Lewis family sprinkler was on, 30L of water was put out. We can thus write the Lewis family sprinkler water output as 30L per each hour of L = 30 * L. Similarly, the Martin family sprinkler water output = 15 * M .

We know that the total hours for the sprinklers is 55, so L + M = 55. The total water output for the sprinklers is the sum of the sprinkler outputs, so 30 * L + 15 * M = 1350

L + M = 55

30 * L + 15 * M = 1350

One way to solve this would be to solve for L in the first equation and substitute that into the second

subtract M from both sides in the second equation

55 - M = L

30 * (55-M) + 15 * M = 1350

30 * 55 - 30 * M + 15 * M = 1350

1650 - 15M = 1350

subtract 1650 from both sides to isolate the M and its coefficient

-15M = -300

divide both sides by -15 to isolate M

M = 20

L = 55-20 = 35

6 0
3 years ago
you 494 miles from home and you are driving forward home at an average of 45 mhp. How long will it take to drive home if you mai
ASHA 777 [7]
494/45= 10.978 hours
8 0
3 years ago
Ethan's school has a sports field with an area of 6,450.35 square yards. if the length of the field is 90.85 yards, what is the
atroni [7]

Answer:

6450.35/90.85 = 71 yards.

Step-by-step explanation:

3 0
2 years ago
Given sec theta=-4/3 and 90
KATRIN_1 [288]
What is ur question?

8 0
3 years ago
Plz help me with these 2 problems I really need it and I need to know how you to the answer so I can show my work
ELEN [110]

Answer:

13.) 0.19625    15.) 37.68

Step-by-step explanation:

Formula for area of a circle: A=πr²

13.) 3.14 x .25² = 0.19625

Formula for circumference for a circle: C=πD  or C=2πr

15.) (6 x 2) x 3.14 = 37.68

Hope this helped :  )

7 0
3 years ago
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