Answer:
KM = √70 ≈ 8.367
Step-by-step explanation:
FD is a midsegment whose length (8) corresponds to the average of the numbers of ratio units of LM : KN = 3 : 5. That is, each of those ratio units must be 2 length units, so KN = 10.
∠MKN = ∠KML = ∠N because the first two angles are alternate interior angles where transversal MK crosses parallel lines ML and KN. The latter two of these angles are equal because the problem statement says so.
These angle relationships make ΔKMN an isosceles triangle, with E the midpoint of the base. That is, KE = 5. We are told ME = 3√5, so the Pythagorean theorem tells us ...
... KM² = KE² +ME² = 5² +(3√5)² = 70
... KM = √70 . . . . . take the square root
Answer:
400 +480 =880
Step-by-step explanation:
0+0=0
8+0=8
4+4=8
880
Factor <span><span>3x</span><span>3x</span></span> out of <span><span><span>3<span>x2</span></span><span><span>−6</span>x</span></span><span><span>3<span>x2</span></span><span><span>-6</span>x</span></span></span>.
<span><span><span><span>3x</span><span>(<span>x<span>−2</span></span>)</span></span>=0</span><span><span><span>3x</span><span>x<span>-2</span></span></span>=0</span></span>Set the single term factor on the left side of the equation equal to <span>00</span>.<span><span><span>3x</span>=0</span><span><span>3x</span>=0</span></span>Divide each term by <span>33</span> and simplify.<span><span>x=0</span><span>x=0</span></span>Set each of the factors of the left side of the equation equal to <span>00</span>.<span><span><span>x<span>−2</span></span>=0</span><span><span>x<span>-2</span></span>=0</span></span>Since <span><span>−2</span><span>-2</span></span> does not contain the variable to solve for, move it to the right side of the equation by adding <span>22</span> to both sides.<span><span>x=2</span><span>x=2</span></span>Solve the equations for <span>xx</span>.<span>x=0,<span>2 your welcome</span></span>
Answer:
n=13
Step-by-step explanation:
When multiplying two numbers with the same base, add the exponents
When dividing two numbers with the same base, subtract the exponents
So
The bases are the same, so you can cancel them
13=n
n=13
5: 11.97
6: 4.1
7: 14.484
8: 12.34
Hope this helps!
