Im Gonna Do 14 And 15.
14:
3/4 (9/12) + 1/3 (4/12) = 13/12
4/5 (16/20) - 1/4 (5/20) = 11/20
15:
-15 < -6
-31 < -19
-5 < 20
-21 < -15
0 < 22
-57 < -26
-71 < -10
3 < 21
-124 < 30
-43 < 18
Hope This Helps!
Answer:
x=30°
y=15°
z=150°
Step-by-step explanation:
2x+90+x=180°
2x=180°-90°
x=90/3
x=30
2y=x
y= 30/2
y=15°
2y°+z°=180°
2(15°)+z°=180°
z=180°-30°
z=150°
Hope it helps! :)
Answer:
<em>Hence the daughter's present age is 15 years</em>
<em>The fathers present age is 35 years</em>
<em></em>
Step-by-step explanation:
Let the present age of daughter be x
Let the present age of father be y
5 years ago;
Daughter's age = x - 5
Fathers age = y - 5
If the present age of father is thrice as old as the age of daughter 5 years ago, then;
y - 5 = 3(x-5)
y - 5 = 3x-15
y = 3x - 10 .... 1
In 5 years time;
Daughters age = x + 5
Fathers age = y + 5
If the age of father will be twice the age of his daughter in 5 years time then;
y+5 = 2(x+5)
y+5 = 2x + 10
y = 2x + 5 .....2
Equate 1 and 2;
3x - 10 = 2x + 5
3x - 2x = 5 + 10
x = 15
Since y = 2x + 5
y = 2(15) + 5
y = 35
<em>Hence the daughter's present age is 15 years</em>
<em>The fathers present age is 35 years</em>
<em></em>
The Van would catch up with the truck at 6:00 pm
Speed is the ratio of distance travelled to time taken. It is given by:
Speed = distance / time
Let us say the van catch up with the truck after t hours at a distance d.
For the truck:
45 = d/t
d = 45t
For the Van:
54 = d / (t - 2)
d = 54t - 108
45t = 54t - 108
9t = 108
t = 12 hours
The Van would catch up with the truck at 6:00 pm
Find out more on speed at: brainly.com/question/3004254
If the slope of the red line is one, the slope of the green line is also one. That's because parallel lines have the same slope.
