The tangent AD at point C forms a right angle to circle B, such as ∠ACB=90° and ∠ABC=55°.
We also know that the summation of all angles in a triangle is 180°. Thus we have the expression below:
180°=∠ABC + ∠ACB + ∠BAD
180°=55°+90°+∠BAD
∠BAD=35°
Therefore, the answer is 35°.
Answer:
65 miles
Step-by-step explanation:
Given:
- k = how many more miles Daniel has to walk
- Goal = 100 miles
- Daily miles = 5 miles
- Number of days already walked = 7 days
Equation:
5 × 7 + k = 100
Solving:
⇒ 5 × 7 + k = 100
⇒ 35 + k = 100
⇒ k = 100 - 35
⇒ k = 65
You want to try and get rid of one of the variables ( x or y) so you would multiply the second equation by 2 which would make the x variable -2x which then when added to the first equation would eliminate the x variable.
Answer: c. Multiply the second equation by 2.
There are 222 boys in the class. You find this by dividing 185 by 5 which gets you 37, so you have to multiply the 6 by 37 to find the amount of boys.
