Answer:
x = 27, y = 74
Step-by-step explanation:
Hi again :)
Since the angles of 5x + 4 and the one adjacent to x = 14 are corresponding angles, they are equal. That means that (5x + 4) + (x + 14) = 180 degrees.
5x + 4 + x + 14 = 180
6x + 18 = 180
6x = 162
x = 27
Also, the angle (5x + 4) and (2y - 9) are vertical angles, they are equal in value. We know the value of x now, so we'll substitute that in and solve for y.
5(27) + 4 = 2y - 9
135 + 4 = 2y - 9
139 = 2y - 9
148 = 2y
y = 74
As always, lmk if you have questions.
6 4 0. says sister (big sister in highschool)
so if she gets it wrong i will help you out,without my sister answering......
Answer:
The slope should be -11 and the points should be (6,84)
Step-by-step explanation:
Answer:
$2,800 was in the first account while $1,900 was in the second account
Step-by-step explanation:
Here, we want to know the amount of money in each account.
Let the amount in the first account be $x while the amount in the second account be $y
The addition of both gives $4,700
Mathematically;
x + y = 4700 ••••••••(i)
The amount of interest on first account is 14% = 14/100 * x = 14x/100
The amount of interest on second account is 11% = 11/100 * y = 11y/100
So the addition of both gives the total interest;
14x/100 + 11y/100 = 601
Multiply through by 100
14x + 11y = 60100 •••••••(ii)
From i, x = 4700-y
Substitute this into equation ii
14(4700-y) + 11y = 60100
65800 -14y + 11y = 60100
65800 -3y = 60100
3y = 65800 -60100
3y = 5700
y = 5700/3
y = 1900
Recall from substitution x = 4700 -y
x = 4700 -1900
x = 2800
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