Answer:
∠C ≅ ∠M or ∠B ≅ ∠L
Step-by-step explanation:
You are given an angle and its opposite side as being congruent. AAS requires two congruent angles and one side, so you need another set of congruent angles (one in each triangle). It does not matter which they are. The above-listed pairs are appropriate.*
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* Since the figure cannot be assumed to be drawn to scale, either of angles B or C could be declared congruent to either of angles L or M. However, it appears that angles B and L are opposite the longest side of the triangle, so it makes good sense to declare that pair congruent. The same congruence statement (ΔBCD≅ΔLMN) would result from declaring angles C and M congruent. So, either declaration will work (matches the last answer choice.)
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AAS requires two angles and a side. One side is already marked, so we do not need any more information about sides. (The second and third answer choices can be rejected as irrelevant.)
Answer:
Finding the missing number is fairly simple and can be done in a few short steps. I will show you using the 21 / __ fraction.
First, divide the included number by its corresponding number in the original fraction.
21 ÷ 3 = 7
To find what the denominator of this would be, multiply 4 by 7.
4 * 7 = 28
The fraction would be 21 / 28.
This works with both numerators and denominators. If you need more of the answers just ask in the comments.
Option B: 5 is the value of f(3)
Explanation:
The equation of the piecewise function is given by
We need to find the value of
The value of the function f can be determined when by identifying in which interval does the value of lie in the piecewise function.
Thus, lies in the interval , the function f is given by
Substituting in the function , we get,
Thus, the value of is 5.
Therefore, Option B is the correct answer.
We have two points so we can find the gradient using y1-y2/x1-x2
gradient = 21-27/2-8
= 1
we know the form for any linear equation is y = mx + c
we have m and a point so we can substitute in point (2,21) to find c
21 = 1 x 2 + c
c = 19
therefore, the equation is y = x + 19
The answer is 240.5 hope you get the question