Answer/Step-by-sep explanation:
1. Given:
∆NMK ≅ ∆TRP
a. To complete the congruent statement, thus: ∆MNK ≅ ∆RTP
b. The side that is congruent to is . Thus:
≅
c. Since ≅ , therefore:
(substitution)
Add 1 to both sides
Divide both sides by 3
2. a. Slope of LK =
Slope of LM =
b. ✍️Length of LK is the distance between L(-7, 4) and (-4, 8):
✍️Length of LM is the distance between L(-7, 4) and (-2, 1):
(nearest tenth)
∆KLM is not an isosceles ∆ because it does not has two equal side lengths. This we can see because LK and LM are not equal.
Therefore, Anthony is incorrect. Am isosceles ∆ has two equal sides.
Answer:
Xavier will not be able to qualify because the speed required for him to qualify is greater than the speed at which he runs
Step-by-step explanation:
Here, we want to know if Xavier will be able to qualify or not
His constant speed is 5/3 m/s
Now to win , he needs a speed of 100 m/55 sec = 20/11 m/s
So now, we need to know the bigger fraction between the two
Mathematically, that will be
5/3 - 20/11 = (55-60)/11 = -5/11
As we can see, the required speed is greater than what he can run
So this means that he will not be able to qualify
That would be the same as the sum of the interior angles of the regular pentagon which is 540 degrees.
Answer:
<u><em>The equation is y = (1/2)x + - 3.5</em></u>
Step-by-step explanation:
We look for an equation with the form y = mx + b, where m is the slope and b the y-intercept.
We're given the slope, (1/2) which we can use for m:
y = (1/2)x + b
We are told the line goes through (5,-1). We need a value of b that will move the line to include this point. Do that by substituting the values:
x = 5, and y= -1
y = (1/2)x + b
-1 = (1/2)*5 + b
-1 = (2.5) + b
- 3.5 = b
<u><em>The equation is y = (1/2)x + - 3.5</em></u>
See the attached image.
If this is in khan put it as 54pi