Given: We have the given figure through which we can see
LK=16,
KJ=10,
LM=24,
MN=15
To Find: Whether KM || JN and the reasoning behind it.
Solution: Yes, KM || JN because
Explanation:
For this solution, we use the concept of Similar Triangles.
Now, KM || JN if ΔLKM ~ ΔLJN (i.e., if ΔLKM is similar to ΔLJN).
Now, ∠MLK=∠NLJ
To prove similarity of the two triangles, we have to show that the sides are proportional. In other words, LK:KJ = LM:LN
which is true as both sides simplify to
Thus, we see that ΔLKM ~ ΔLJN (i.e., if ΔLKM is similar to ΔLJN).
Therefore, KM || JN.
To come to the reasoning, notice that
In other words,
Answer:
Ac=cd & ab=bd +common side so abc=dbc
same for ehf and ghf but difference in common right angle.
Answer:
u = -2
Explanation:
Slope of the line can be calculated using the following rule:
slope = (y2-y1) / (x2-x1)
We are given :
slope = 1/8
point (u,-9) represent (x1,y1)
point (6,-8) represent (x2,y2)
Substitute with the givens in the above equation and solve for u as follows:
slope = (y2-y1) / (x2-x1)
1/8 = (-8--9) / (6-u)
1/8 = (1) / (6-u)
1* (6-u) = 1*8
6-u = 8
u = 6-8
u = -2
Hope this helps :)
Answer:
14.67 gram
Step-by-step explanation:
Henry has two pixie sticks full of delicious sugar.
Now, each pixie stick contains 22 grams of sugary goodness, then in two sticks, there will be (22 × 2) = 44 grams of sugar.
Now, Henry shares two pixie sticks among two friends and himself in equal proportion.
Therefore, each of his friends will get (Round to the nearest tenth) gram of sugary goodness. (Answer)
1 Expand
1.4t-0.4t+1.24=5.8
2 Simplify 1.4t-0.4t+1.241.4t−0.4t+1.24 to t+1.24t+1.24
t+1.24=5.8
3 Subtract 1.241.24 from both sides
t=5.8−1.24
4 Simplify 5.8-1.245.8−1.24 to 4.564.56
t=4.56