Answer:
Step-by-step explanation:
- Mother's age = m
- Son's age = s
<u>3 years later:</u>
- m + 3 = 4(s + 3) ⇒ m = 4s + 12 - 3 = 4s + 9
<u>3 years ago:</u>
- m - 3 = 2(s + 8) ⇒ m = 2s + 18 + 3 = 2s + 21
<u>Solve for s by substitution:</u>
- 4s + 9 = 2s + 21
- 2s = 12
- s = 6
<u>Find the value of m:</u>
Mother is 33 and son is 6
The answer would be C. a > 2
If a > 2, then a could = 3
n = 3*3 - 6
n = 9 - 6
n = 3
3 is a positive number
Answer:
$133507.33
Step-by-step explanation:
x = number of 6 month periods
y = total money in account
After 10 years:
After 18 years:
Answer:
1. m ∠ 1 = 113°
2. m ∠ 2 = 67°
3. m ∠ 4 = 67°,
4. m ∠ 5 = 113°
5. m ∠ 6 = 67°
6. m ∠ 7 = 113°
7. m ∠ 8 = 67°
Step-by-step explanation:
Given AB║CD and m║n and m∠3=113°
Solution, since m and n are parallel lines so AB and CD are transversal lines.
So ∠2 and ∠3 makes a linear pair whose sum is equal to 180°.
(∠2 and ∠8),(∠3 and ∠7),(∠1 and ∠5),(∠4 and ∠6) are alternate interior angles.
(∠2 and ∠4),(∠1 and ∠3),(∠5 and ∠7),(∠6 and ∠8) are corresponding angles.
When two lines are parallel and their is a transversal line then the measure of alternate angles are equal and also the measure of corresponding angles are equal.
Hence the measure of all angles are:
1. m ∠ 1 = 113°
2. m ∠ 2 = 67°
3. m ∠ 4 = 67°,
4. m ∠ 5 = 113°
5. m ∠ 6 = 67°
6. m ∠ 7 = 113°
7. m ∠ 8 = 67°
Given:
A figure.
To find:
The angle number which is supplementary to ∠OKL.
Solution:
The angles which lie on the same side of a straight line and their sum is 180 degrees, then they are called supplementary angles.
From the given figure it is clear that ∠OKL is lies on the intersection point K of lines OJ and GL.
Angle 11 and angle 12 lie on the same side of the straight line GL.
So, angle 11 and angle 12 are supplementary angles.
Therefore, angle 11 is supplementary to ∠OKL.