Step-by-step explanation:
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Answer:
Yes, the triangles are congruent by ASA
Step-by-step explanation:
we know that
If any two angles and the included side are the same in both triangles, then the triangles are congruent by Angle-Side-Angle (ASA)
In this problem
LK=MJ
∠KLJ=∠KMJ
∠LKJ=∠MJK
so
Two angles and the included side is equal in triangle JKL and triangle KJM
therefore
JKL≅KJM ----> by ASA
Answer:
t = 1.277 sec and t = 2.848 sec
Step-by-step explanation:
This problem is much more easily done by graphing it than by computing it using algebra.
The values of t we're looking for are the ones that make x = 0, so we want the solutions of 
on the interval [0, 3].
According to the graph, this is true when t = 1.277 seconds and t = 2.848 seconds.
You've got five different problems in this photo ... four on top and the word problem on the bottom ... and they're all exactly the same thing: Taking two points and finding the slope of the line that goes through them.
In every case, the procedure is the same.
If the two points are (x₁ , y₁) and (x₂ , y₂) , then
the slope of the line that goes through them is
Slope = (y₂ - y₁) / (x₂ - x₁) .
This is important, and you should memorize it.
#1). (8, 10) and (-7, 14)
Slope = (14 - 10) / (-7 - 8) = 4 / -15
#2). (-3, 1) and (-17, 2)
Slope = (2 - 1) / (-17 - -3) = (2 - 1) / (-17 + 3) = 1 / -14
#3). (-20, -4) and (-12, -10)
Slope = [ -10 - (-4) ] / [ -12 - (-20) ]
=========================================
The word problem:
This question only gives you one point on the graph,
and then it wants to know what's the slope ?
What are you going to do for another point ?
A "proportional relationship" always passes through the origin,
so another point on the line is (0, 0) .
Now you have two points on THAT line too, and you can easily
find its slope.
Answer:option 3
Step-by-step explanation:
