Answer:
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Step-by-step explanation:
Converting their ages to months:
12*12=144months + 3 months
=147 months
Now, 3 is equivalent to 147 months;
4 will be equivalent to;
4*147/3
= 196 months
= 16 years and 4 months
Step-by-step explanation:
The median is the middle number is an ordered set of data. In a frequency table, the observations are already arranged in an ascending order. We can obtain the median by looking for the value in the middle position. If there is an odd number of observations, the median is the middle number
1. To solve for x, you can see that nearby C and D, the two angles are equal. We can ,therefore, make an equation and solve it:
5x - 29 = 3x + 19
- 3x
2x - 29 = 19
+ 29
2x = 48
÷ 2
x = 24
2. So for this part you would substitute the value of x and then minus that angle from 180:
3 × 24 = 72
72 + 7 = 79°
180 - 79 = 101° = ∠1
3. 180 = 101 = 79° = ∠2
4. 180 - 79 = 101° = ∠3
5. Angle 4 is equal to angle 3 because there is an alternate angle (z angle) so 101° = ∠4
6. 180 - 101 = 79° = ∠5
7. 180 - 101 = 79° = ∠6
8. To find angle 7, you have to substitute in x again, so:
5 × 24 = 120
120 - 29 = 91
180 - 91 = 89° = ∠7
9. Angle 8 is the same as angle 7 because they are opposite angles, so 89° = ∠8
10. Angles 2 and 3 are supplementary, which means they add up to 180°.
I hope this helps! :)
-2x + 7y = 10 ⇒ -2x + 7y = 10
x - 3y = -3 ⇒ <u>-2x + 6y = 6 </u>
y = 4
-2x + 7(4) = 10
-2x + 28 = 10
<u> -28 -28</u>
<u>-2x</u> = <u>-18</u>
-2 -2
x = 9
(x, y) = (9, 4)
