Answer:
Given that JN was bisected, JL ≅ LN
Given that KM was bisected, KL ≅ ML
∠JLK ≅ ∠MLN because of vertical angles.
∠JLK is contained by JL and KL.
∠MLN is contained by ML and LN.
Therefore ΔJKL ≅ ΔNML by the SAS postulate.
Step-by-step explanation:
The SAS postulate states that when you know two triangles have an equal angle, and that angle is formed by two sides that are equal in both triangles, the two triangles are congruent.
When a line is bisected, it means it was cut in two equal parts.
Since two lines were bisected and each form a side in the triangles, two sides are congruent.
The contained angles, ∠JLK and ∠MLN, are equal because of vertical angles. Vertical angles occur when two straight lines intersect. Angles that are opposite to each other are equal in all cases.
Answer:
PA GEN SOLISYON --> "NO SOLUTION"
Step-by-step explanation:
Whether you multiply the top equation by ⅓ to make "-y" and "2x", or multiply the bottom equation by 3 to make "3y" and "-6x", you will see that 9⅓ ≠ 0, or 24 ≠ 0, therefore the result is "NO SOLUTION".
You can change 24.5% by moving the decimal point
24.5%=.245
70,000 x .245=$17,150
9514 1404 393
Answer:
23, 49
Step-by-step explanation:
Let s represent the smaller of the two numbers. Then the larger is s+26, and the sum is ...
s + (s+26) = 72
2s = 72 -26
s = (72 -26)/2 = 23
Then the larger number is
s +26 = 49
The two numbers are 23 and 49.
_____
The reason we wrote the solution this way is to show you that the smaller number is half the difference between the given sum (72) and difference (26). This is the generic solution to a "sum and difference" problem. The smaller number is always half the difference of the give sum and difference. (Similarly, the larger is always half the sum of the given sum and difference.)
That is, the two numbers are always half the sum ± half the difference:
72/2 ± 26/2 = {36+13, 36-13} = {49, 23}
Answer:
Step-by-step explanation:
Hi!
Since an equilateral triangle means that every side is equal, our triangle will have 12 on all sides.
To find the height of an equilateral triangle we use 
.
.
So the height is 
.
Now we have to solve 12 * ÷ 2.
.
Thus, the area of the triangle is 
.
Hope this helps!
