Ratio 1:2:3 means we have x, 2x and 3x as the three parts
x+2x+3x = 42
6x = 42
6x/6 = 42/6
x = 7
Since x = 7, this means 2x = 2*7 = 14 and 3x = 3*7 = 21
Dividing 42 into the ratio of 1:2:3 means we have 7:14:21 as the answer
If we divide all three parts of 7:14:21 by the GCF 7, we reduce it down to 1:2:3
As a check,
7+14+21 = 21+21 = 42
so it works out
Answer:
<h2>A. 4 in</h2>
Step-by-step explanation:
Collinear points are points that lies on the same straight line. If the points E, F and G are collinear points, then the three points lies on the same straight line.
If E is between F and G, the FE+EG = FG
EG = FG - FE
Given FE = 3 in and FG = 7 in
On substituting into the expression above to get EG;
EG = 7in - 3in
EG = 4in
Hence the length of EG is 4in
Answer:
E
Step-by-step explanation:
Hope this helped!
This is the concept of geometry, we are required to find the values of angle a,b,c,d;
Given that the triangles are by line intersecting two parallel lines, therefore we can conclude that both triangles are similar;
thus;
angle b=40° ⇒alternate angles
angle b= angle c=40° ⇒base angles of isosceles triangles are equal;
angle d=180-(40+40)=180-80=100°
angle a=360-80=240°
Answer:
s = 3.75 miles/hour
Step-by-step explanation:
Distance covered = 1/4 of a mile
Time taken = 1/15 of an hour
We need to find the speed of the track. We know that,

So, the required speed is 3.75 miles/hour.