Answer:
30° and 150°
Step-by-step explanation:
Let the smaller side is x then other side is 5x,
x+5x=180°[interior property]
on solving we get
6x=180°
x=30°
therefore the other side is 5x=5*30°=150°
Answer:15
10/25 = 6/x
cross multiply:
25 x 6 = 150
10 x (x) = 10x
divide 10x from 150
150/10x = 15
316 cm²
A polygon is given to us and we are interested in finding out the area of the polygon .
- Here we can see that the polygon is made up of a rectangle and a triangle .
We can separately find out their areas and then add them up to find out the area of the polygon.
So that ,
- We know that the area of rectangle is length × breadth and that of triangle is 1/2 × base × height . So ,
- Here height of triangle can be calculated by subtracting the lengths 18cm and 14cm and its base can be calculated by subtracting CD from BD ( see figure in attachment.)

If you graph these points you can easily see that the slope is 1 and the y-intercept is -3. Therefore y=x-3.
Answer:
a) The rocket travels 200 meters horizontally.
b) The height of the rocket mid-flight is of 1000 meters.
Step-by-step explanation:
Height of the rocket:
The height of the rocket, in meters, after an horizontal distance of x, is given by:

a) How far does the rocket travel horizontally?
This is x when
. So

Then


And


So
The rocket travels 200 meters horizontally.
b How high does the rocket reach mid-flight?
This it the height y when x = 0, so:

The height of the rocket mid-flight is of 1000 meters.