Answer:
5:7
Step-by-step explanation:
140% of 30 is 42 so when i got that, i set up my proportion as 30:42 and then simplified
Answer:
Length of BH is 2 units.
Step-by-step explanation:
We have, ΔABC with ∠ABC = 90° and an altitude BH.
Also, it is given that the length of sides AH is 4 units and HC is 1 units.
Since, the 'Altitude Rule' states that 'the length of the altitude is the geometric mean of the line segments it bisects'.
So, we get that,
i.e. 
i.e. 
i.e. 
Since, the length of the side cannot be negative.
So, length of BH is 2 units.
Answer:
40 degrees
Step-by-step explanation:
Since we have the diameter included in the triangle, the angle at B is 90
This is because angle at center is two times the angle at the circumference
Since we have the diameter, the angle at the center will be 180 degrees so the angle A at the circumference will be 90 degrees
Now, let us use the measure of the arc given
The angle at C is half of 100 which makes it 50
This is according to an angle arc relationship
Lastly, the sum of angles in a triangle is 180 degrees
We already have two angles and we need the last
so we have to add what we have already and subtract from 180 to get the angle we are looking for
So we have the angle as 180-(90 + 50) = 180 -140 = 40
