Answer:
Given:
m∠C = 90°, because ∠C is a right angle.
m∠D = 90°, because CD is the height to AB.
m∠A = α
Since the sum of angles in a triangle is 180°, therefore
m∠DBC + 90° + α = 180°
m∠DBC = 90° - α
Again, for the same reason,
m∠DCB + m∠DBC + 90° = 180°
m∠DCB + 90° - α + 90° = 180°
m∠DCB = α
For the same reason,
m∠ACD + 90° + α = 180°
m∠ACD = 90° - α
m∠ADC = 90° (by definition)
m∠CDB = 90° (by definition)
Answer:
m∠DBC = 90° - α
m∠DCB = α
m∠CDB = 90°
m∠ACD = 90° - α
m∠ADC = 90°
Step-by-step explanation:
Answer:
It's b, 45 degrees
Step-by-step explanation:
1) 180-90 = 90
20 90 divided by 2 = 45
You need to provide the number line
Answer:
126
Step-by-step explanation:
14 = 2 * 7
18 = 2 * 3 * 3
Take any factors they both have and use that number only once (2)
Then multiply together: 2 * 7 * 3 * 3 = 126
Answer:
So, the required width of rectangular piece of aluminium is 8 inches
Step-by-step explanation:
We are given:
Perimeter of rectangular piece of aluminium = 62 inches
Let width of rectangular piece of aluminium = w
and length of rectangular piece of aluminium = w+15
We need to find width i.e value of x
The formula for finding perimeter of rectangle is: 
Now, Putting values in formula for finding Width w:

After solving we get the width of rectangular piece :w = 8
So, the required width of rectangular piece of aluminium is 8 inches