Answer:
12
Step-by-step explanation:
triangle on left= 2 cuz 2 times 2=4 /2 =2
and same thing with right
then middle it just 2 times 2
ALWAYS REMEMBER DIVIDE THE TRIANGLES BY 2
Answer:
See explanation
Step-by-step explanation:
If PK and PF are tangent to the circle, then the radii OK and OF are perpendicular to the lines PK and PF respectively.
Consider quadrilateral PFOK. The sum of the measures of all interior angles in quadrilateral PFOK is equal to 360°. Since OK and OF are perpendicular to the lines PK and PF, you have that
∠FOK+90°+∠KPF+90°=360°,
∠FOK=360°-90°-90°-∠KPF=180°-∠KPF.
Angles FOK and KOE are supplementary angles, then
∠KOE=180°-∠FOK=180°-(180°-∠KPF)=∠KPF.
Since angle KOE is central angle, the arc EK has the same measure as angle KOE and as angle KPF.
Answer:
He paid $6,000 in taxes.
Step-by-step explanation:
His final amount after taxes is $24000. In order to obtain this number we had to tax 20% of the total (Note that 100%-20%=80%). In other words if he was taxed 20% he took home 80% of what he was paid. Therefore mathematically we have:

Since we know he was left with $24000 after taxes then:

So originally he had $30,000. So how much did he pay in taxes? We can calculate the difference of both pretax and after tax and we get:
$30,000 - $24,000= $6,000 taxed
Answer:
- Area of section is 981 square feet
Step-by-step explanation:
<h3>Given trapezoid with:</h3>
- Bases 57 feet and 52 feet;
- Height 18 feet.
<h3>To find</h3>
<h3>Solution</h3>
Equation of area:
Substitute values and calculate:
- A = (57 + 52)*18/2 = 109*9 = 981 ft²