GH bisects FGI. Find the measure of HGI •15° •21° •10° •8°
2 answers:
Answer:
Option B is correct.
the measure of angle HGI is 21°
Step-by-step explanation:
By Angle bisector definition:
A line that bisects the angle into equal angle
From the given figure, we have;
and
it is given that: GH bisects ∠FGI.
then by definition:
Substitute the given values we have;
Add 9 to both sides we get;
Subtract 2x from both sides we get;
or
then;
Therefore, the measure of angle HGI is 21°
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Answer:
36
Step-by-step explanation:
Let's let n be any number.
If we multiply n by 2, we get 2n. Since anything multiplied by 2 is even, 2n <em>must</em> be even. Therefore, let 2n be our first number.
So, the consecutive even number will be (2n+2) followed by (2n+4).
We know that their sum must be 114. Therefore, we can write the following equation:
Solve for n. Combine like terms on the left:
Subtract 6 from both sides:
Finally, divide both sides by 6. Therefore, the value of n is:
Therefore, our first even number is 2n or 2(18) which equates to 36.
And the consecutive even numbers will be 38 and 40.
So, the smallest of them, the first term, is 36.