First, split the triangle into half.
So the angle 38 becomes 38/2=19.
So we know two angles in the triangle:
One is 19 degrees.
The other one is 90 degrees (marked red).
The angles in a right-angled triangle add up to 180 degrees.
So to find the x angle, we calculate it by:
180 - (90+19) = 71
(the sum of three angles) - (the sum of the two known angles) = unknown angle
So x = 71 degrees.
The value of is
Explanation:
The function is given by
The function is given by
To determine the value of , let us first substitute the value of
.
Thus, we get,
Now, substituting for in the function
, we get,
Simplifying, the expression, we get,
Multiplying the term within the bracket, we have,
Thus, the value of is
Hence, the value of represents the total amount of money that Barrett earns for working x hours.
ANSWER
The larger number is 18
<u>EXPLANATION</u>
Let x be the larger number and y be the smaller number.
Then,
Let us add equation (1) and (2).
Divide through by 2
Put in to equation (1).
This implies that,