Given m∠B = 62, m∠C = 54 and line AD bisects ∠BAC, find m∠ADB
1 answer:
THE ANSWER IS: 86 degrees
first find the measure of angle a: since all angles of a triangle add up to 180, add the measures of angle b and angle c then subtract it from 180 to get angle a: 62+54=116, 180-116=64
since we know line AD bisects angle a, we can divide 64 degrees by 2 to find angle BAD: which is 32 degrees
then subtract both 62 and 32 from 180 to get 86 degrees for angle ADB
first find the measure of angle a: since all angles of a triangle add up to 180, add the measures of angle b and angle c then subtract it from 180 to get angle a: 62+54=116, 180-116=64
since we know line AD bisects angle a, we can divide 64 degrees by 2 to find angle BAD: which is 32 degrees
then subtract both 62 and 32 from 180 to get 86 degrees for angle ADB
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Answer:
<u>188 children</u> and <u>145 adults</u> were admitted in the park.
Step-by-step explanation:
Given:
The admission fee at an amusement park is $1.50 for children and $4 for adults.
Total $862 collected on a certain day when 333 people enter the park.
Now, to find the children and adults admitted in the park.
<u><em>Let the number of children admitted be </em></u><u><em /></u>
<u><em>And the the number of adults admitted be </em></u><u><em /></u>
So, the total people enter the park:
Thus, the total amount collected of the admission fee:
Substituting the value of from equation (1):
<u><em>Thus, the number of adults = 145.</em></u>
Now, to get the number of children by substituting the value of in equation (1) we get:
<u><em>Hence, the number of children = 188.</em></u>
Therefore, 188 children and 145 adults were admitted in the park.