We have <span>isosceles ∆DEK
</span><span>EF is the angle bisector of ∠E,
m∠DEF = 43°= </span><span> m∠FEK ( the bisector divide the angle in two equal angles)
</span>
so m∠DEK = m∠DEF + <span> m∠FEK = 43 + 43 = 86
</span>
<span>∆DEK is isoceles triangle (given)
</span>the two base angles are equal m∠EDK = m∠DK<span>E
</span>and the sum of angles in a triangle = 180
so m∠DEK + m∠EDK+ m∠DKE<span> = 180
86 + </span>m∠EDK+ m∠DKE = <span> 180
2 x </span><span>m∠EDK = 94
</span><span>m∠EDK = 94 / 2 = 47
</span>
in triangle DEF
m∠EDF + m∠E FD+<span>m∠FED= 180
</span>
47 +<span>m∠E FD + 4 3 = 180
</span><span>m∠E FD = 180-43-47 = 90
</span><span>Find: KF?
</span>in an isoseles triangle the bisector is in the same time median so
KF= DK / 2 = 16/ 2 = 8 cm
Part A: To find the lengths of sides 1, 2, and 3, we need to add them together. We can do this by combining like terms (terms that have the same variables, or no variables).
(3y² + 2y − 6) + (3y − 7 + 4y²) + (−8 + 5y² + 4y)
We can now group them.
(3y² + 4y² + 5y²) + (2y + 3y + 4y) + (-6 - 7 - 8)
Now we simplify
12y² + 9y - 21
Part B: To find the length of the 4th side, we need to subtract the combined length of the 3 sides we know from the total length (perimeter).
(4y³ + 18y² + 16y − 26) - (12y² + 9y - 21)
Simplify, subtract like terms.
4y³ + (18y² - 12y²) + (16y - 9y) + (-26 + 21)
4y³ + 6y² + 7y - 5 is the length of the 4th side.
Part C (sorry for the bad explanation): A set of numbers is closed, or has closure, under a given operation if the result of the operation on any two numbers in the set is also in the set.
For example, the set of real numbers is closed under addition, because adding any two real numbers results in another real number. Likewise, the real numbers are closed under subtraction, multiplication and division (by a nonzero real number), because performing these operations on two real numbers always yields another real number.
<em>Polynomials are closed under the same operations as integers. </em>
18 dimes, 12 nickels is the answer
You will set it up so that the two equations are equal to each other.
2,200 * (2.31 * 10^x) = 1.05 * 10^y
Then depending on what you have learned you either plug in each value and check, or solve it mathmatically.
The steps for solving mathmatically:
Distribute the 2,200.
5082 * 22000^x = 1.05 * 10^y
Next divide both sides by 1.05
4840 * 20952.4^x = 10^y
I don't know if that is to the power of y or times y?
Answer:
12%
Step-by-step explanation:
There are a total of 175 units in an apartment complex.
Out of which, 154 units are occupied.
Now, we have to find the percentage of the apartment which are unoccupied.
So, the number of units that are not occupied is (175 - 154) = 21.
Hence, the percentage of the number of unoccupied units of the apartment complex will be (Answer)