Answer:
Answer:
<u>X l Y</u>
<u>-2 l 4</u>
<u>-1 l 5</u>
<u>0</u><u> </u><u> </u><u> </u><u> </u><u> </u><u>l</u><u> </u><u> </u><u> </u><u>6</u>
<u>1 l 7</u>
<u>2 l 8</u>
Step-by-step explanation:
<u>X </u><u> </u><u>l </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u>Y</u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u>
<u>-2 l </u><u>-</u><u> </u><u>(</u><u>-</u><u>2</u><u>)</u><u> </u><u>+</u><u> </u><u>y</u><u> </u><u>=</u><u>6</u><u> </u><u>=</u><u>></u><u> </u><u>y</u><u> </u><u>=</u><u> </u><u>6</u><u> </u><u>-</u><u> </u><u>2</u><u>=</u><u>></u><u> </u><em><u>y</u><u> </u><u>=</u><u> </u><u>4</u></em>
<u>-1 l </u><u>- (-</u><u>1</u><u>) + y =6 => y = 6 - </u><u>1</u><u>=> <em>y = </em></u><u>5</u>
<u>0 l </u><u>- (</u><u>0</u><u>) + y =6 => y = 6 </u><u>+</u><u> </u><u>0</u><u>=> <em>y = </em></u><u>6</u>
<u>1 l </u><u>- (</u><u>1</u><u>) + y =6 => y = 6 </u><u>+</u><u>1</u><u> => <em>y = </em></u><u>7</u>
<u>2 l </u><u>- (</u><u>2</u><u>) + y =6 => y = 6 </u><u>+</u><u> 2=> <em>y = </em></u><u>8</u>
<em><u>Note</u></em><em><u>:</u></em><em><u> </u></em><em><u>-</u></em><em><u> </u></em><em><u>(</u></em><em><u>-</u></em><em><u>a</u></em><em><u>)</u></em><em><u> </u></em><em><u>+</u></em><em><u> </u></em><em><u>b</u></em><em><u> </u></em><em><u>=</u></em><em><u> </u></em><em><u>a</u></em><em><u> </u></em><em><u>+</u></em><em><u> </u></em><em><u>b</u></em>
<em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em><u> </u></em><em><u>-</u></em><em><u> </u></em><em><u>(</u></em><em><u>a</u></em><em><u>)</u></em><em><u> </u></em><em><u>+</u></em><em><u> </u></em><em><u>b</u></em><em><u> </u></em><em><u>=</u></em><em><u> </u></em><em><u>-</u></em><em><u> </u></em><em><u>a</u></em><em><u> </u></em><em><u>+</u></em><em><u> </u></em><em><u>b</u></em>
Answer:
x=7 and m<LMN = 120
Step-by-step explanation:
if MO bisects LMN then 13x - 31 must be equal to x + 53
13x - x = 53 + 31
12x = 84
x = 7
and
13x - 31 + x + 53 = m<LMN
14x + 22 = m<LMN
since x is 7
14×7 + 22 = 120
Answer:
100 miles
Step-by-step explanation:
Given :
To work :
speed = 50mph
Let time taken = x
From work :
speed = 40mph
30 minutes = 30/60 = 0.5
Time taken = x + 0.5
Distance from home to work :
Distance = speed * time
To work distance = from work distance
This can be algebraically expressed as :
50 * x = 40(x + 0.5)
50x = 40x + 20
50x - 40x = 20
10x = 20
x = 20/10
x = 2
Hence,
Distance = 50 * 2 = 100
The the distance from home to work = 100 miles
To find the unit rate you do distance ÷ time
16 miles ÷ 2 hours = 18
To find the time you do distance ÷ unit rate
20 miles ÷ 18 = 1.1
To find the distance you do time • unit rate
3 hours • 18 = 54
2) 1.1, 54, 1.8, 90, 27
3) 48, 3, 30, 2, 1