The numbers are 105 and 50
<em><u>Solution:</u></em>
Let "x" be the first number
Let "y' be the second number
Twice a number plus twice a second number is 310
Therefore,
twice of x + twice of y = 310
2x + 2y = 310 ---------- eqn 1
The difference between the numbers is 55
x - y = 55 -------- eqn 2
<em><u>Let us solve eqn 1 and eqn 2</u></em>
From eqn 2,
x = 55 + y ------ eqn 3
<em><u>Substitute eqn 3 in eqn 1</u></em>
2(55 + y) + 2y = 310
110 + 2y + 2y = 310
4y = 310 - 110
4y = 200
<h3>y = 50</h3>
<em><u>Substitute y = 50 in eqn 3</u></em>
x = 55 + 50
<h3>x = 105</h3>
Thus the numbers are 105 and 50
21x + 84 + 12x - 16
33x + 68
The correct answer is 1.) 33x + 68.
Hope this helps!
Answer:
2
Step-by-step explanation:
The scale factor is 2 because every aspect of figure a doubled.
We have been given three statements. From those statements, we have to pick the statement that can conclude that that two lines are parallel.
Statement 1:
If right angles are formed, then lines are parallel.
This is not valid because if the angle formed is right angle then lines forming right angle will be perpendicular.
Statement 2:
If two lines are perpendicular to another line, then they are parallel.
This is valid because the line on which other two lines are perpendicular will work as transversal and the alternet interior angles will be equal. Hence the two perpendicular lines on given line will be parallel to each other.
Statement 3:
If alternate interior angles are equal, then lines are parallel.
This is valid as explained above.
Hence final answer are statement 2 and statement 3 both.
Answer:
355,459.33
Step-by-step explanation:
42,655.12/12 = 3554.59
3554.59*100 = 355459.33
