<span>3a+4x=29 (1st)
2a-3x=-9 (2nd)
multiply (1st) by 3 and (2nd) by 4
</span>9a + 12x = 87 (1st)
8a - 12x = -36 (2nd)
---------------------add
17a = 51
a = 3
<span>2a-3x=-9
</span><span>2(3)-3x=-9
6 - 3x = -9
-3x = -15
x = 5
answer
x = 5 and a = 3</span>
REQUIRED:
Round to 3 decimal placed the value of the irrational number e.
Step-by-step solution/explanation;
The letter e in mathematics is also known as the Eular's number and is a mathematical constant used in many calculations especially natural logarithms of numbers.
The value of the Eular's number is approximately;
It can continue till infinity, however approximations of this number is always used to avoid unnecessary complications.
Therefore, rounded to 3 decimal places, the value of e is now;
ANSWER:
Note that we take 3 digits aftre the decimal and then if the fourth digit after the decimal is 5 or greater than 5, we make it 1 and add that 1 to the third digit after the decimal. Otherwise we simply make it zero and cancel it along with all other digits after it.
The digit that follows 8 (third digit) is less than 5, therefore, we write it off along with all other digits after it, and we are left with the decimal point and then ...718.
Option C is the correct answer.
Answer:
75°
Step-by-step explanation:
∠ESK is the supplement of ∠EDK, so is 100°. ∠ESD = 1/2·arc ED, so is 25°. Since ...
∠ESK = ∠ESD + ∠DSK
you have ...
100° = 25° + ∠DSK . . . . fill in known values
75° = ∠DSK . . . . . . . . . . subtract 25°
_____
Regarding opposite angles of an inscribed quadrilateral
Chord EK divides the 360° circle into two arc: major arc EDK and minor arc ESK. The sum of those arcs is 360°. Each of the inscribed angles that intercepts those arcs has half the measure of the arc. That is, ∠ESK intercepts arc EDK, so has half its measure. Likewise, ∠EDK intercepts arc ESK, so has half its measure. The sum of those opposite angles will be the sum of half the measures of the arcs, so half the sum of the arcs, or 1/2·360° = 180°.
This is why we can say ∠ESK is the supplement of ∠EDK.
Answer:
810
Step-by-step explanation:
The original price of the car = 100%.
Price is decreased by 10%- price now equal 90% of original.
Let original price = x
.9x=729
x=810
Check:
810 - .1(810) = 729
True!
