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girly37
29.08.2020 •
Mathematics
1. One number is 11 more than 3 times another number. Their sum is 71. Find the smaller number. 2. Two angles are complementary. One angle measures 22 degrees more than the other angle. Find the measure of the larger angle. 3. Two angles are supplementary. One angle measures 40 degrees more than the other angle. Find the measure of the larger angle. 4. The sum of three consecutive even integers is -36. Determine the largest integer of the three.
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Ответ:
1. The two numbers are 56 and 15
2. The two angles are 56 and 34 degrees
3. The two angles are 110 and 70 degrees
4.The largest number is -10
Step-by-step explanation:
Solving (1):
Represent both numbers with x and y
Solving for x and y
Substitute
for x in the second equation
Collect Like Terms
Divide both sides by 4
Recall that
Hence, the two numbers are 56 and 15
Solving (2)
Represent the two angles with x and y
Since they are complementary;
Substitute 22 + y for x in![x + y = 90](/tpl/images/0733/3638/4c369.png)
Collect Like Terms
Divide both sides by 2
Recall that![x = 22 + y](/tpl/images/0733/3638/0e12f.png)
Solving (3):
Represent the two angles with x and y
Since they are supplementary;
Substitute 40 + y for x in![x + y = 180](/tpl/images/0733/3638/8889e.png)
Collect Like Terms
Divide both sides by 2
Recall that![x = 40 + y](/tpl/images/0733/3638/d6a7f.png)
Solving (4):
Let the smallest number be x
Collect Like Terms
Divide through by 3
The largest number; x + 4 is
Hence, the largest number is -10
Ответ:
i'm pretty sure it's 27
Step-by-step explanation: