The value of x is option C) x=8.6
<u>Step-by-step explanation</u>:
Given that,
- The triangle ABC is similar to triangle DEC.
- It means that the side AB of triangle ABC is in proportion to side DE of triangle DEC.
⇒ AB/DE
⇒ 11/7.
Also, the side AD of triangle ABC is in proportion to side DC of triangle DEC.
⇒ AD/DC
⇒ (x+15)/15.
<u>To find the value of x :</u>
Equating the two proportions AB/DE and AD/DC.
11/7 = (x+15)/15
Keep x term alone on one side,
x+15 = 15(11/7)
x = (165/7) - 15
x = 23.6 - 15
x = 8.6
Step-by-step explanation:
The arc drawn must be in the interior side of the angle to be bisected because while constructing the angular bisector, we make an arc cutting both the rays of the angle, so in order to cut the angle in to two equal part, we should make arcs in the interior part of the angle subtended so that it bisects the angle in two equal parts.
As given, Income of Homer and his wife = $60000
Interest earned = $1200.
Adding this to total income, we have total taxable amount = 60000+1200 = $61200
Now, investment in tax deferred savings plan = $ 2500
This amount will be subtracted from total taxable income, so amount becomes = 61200-2500 = $58700
We will also subtract the exemptions and deductions = $12000
Amount becomes = 58700-12000 = $46700
Hence, Net taxable income is $46,700
The first answer. (3 x 3) + (3 x 4)
Answer:
In any triangle: The shortest side is always opposite the smallest interior angle. The longest side is always opposite the largest interior angle.