Answer:
x = 2/3
Step-by-step explanation:
3×+4= 6
3x=6-4
3x=3
×=2/3
Answer:
Proved
Step-by-step explanation:
Given
Required
Prove by induction
Increment n by 1 on both sides
Simplify the right hand side
Group the left hand side
Recall that
----[Given]
So; Substitute for on the left hand side
Open All Brackets
Collect Like Terms
<em>Notice that the expression on both sides are equal;</em>
<em>Hence, the given expression has been proven</em>
Answer: $15417.8
Step-by-step explanation:
Last year, Randy earned $64,241.00 of taxable income.
The federal income tax rate was 24%.
Amount earned= $64241
Taxable income rate = 24%
Amount paid as taxable income will be equal to the taxable income rate multiplied by the amount earned. This will give:
24% of $64241
= 24/100 × 64241
= 0.24 × 64241
= $15417.8
The amount paid as federal tax is $15417.8
<h2><u>ISOSCELES TRIANGLE</u></h2>
An isosceles triangle is a triangle that has two sides of equal length. In this exercise, we see small lines on two of the sides. This means that those sides are equal.
Equalize the expressions:
<h3>6x - 23 = 4x + 9</h3>
Add 23 to both sides of the equation:
6x - 23 + 23 = 4x + 9 + 23
6x = 4x + 32
Substract 4x from both sides:
6x - 4x = 4x - 4x + 32
2x = 32
Finally, divide both sides by 2:
Now, let's find the measures of the angles:
- (6x - 23)° = 6(16) - 23 = 96 - 23 = 73°
- (4x + 9)° = 4(16) + 9 = 64 + 9 = 73°
Remember: The sum of the three angles of any triangle is equal to 180 degrees. Let's find the measure of the angle Y:
73° + 73° + Y = 180°
146° + Y = 180°
Y = 180° - 146°
Y = 34°
<u></u>
<h3><u>
Answer</u>
. m∠Y = 34°</h3>