Answer: The answer is (C) 180°.
Step-by-step explanation: Given that m∠A = 40°. ∠B is a complement of ∠A and ∠C is a supplement of ∠B. We are to find m∠B + m∠C.
Since ∠B is a complement of ∠A, so we have
Now, since ∠C is a supplement of ∠B, so we have
Therefore,
Thus, (C) is the correct answer.
To build the table you just have to give values to t and then calculate the corresponding c a per the model.
If the model is c = 5.5 t this is the table
t c
5.5 t
0 5.5(0) = 0
1 5.5(1) = 5.5
2 5.5(2) = 11.0
3 5.5(3) = 16.5
4 5.5(4) = 22.0
5 5.5(5) = 27.5
The viables solutions are all where t is equal or greater than 0. You can even use decimal values for t. You cannot use negative values for t.
Answer: 5/4
Step-by-step explanation:
Answer: "No, the triangles are not necessarily congruent." is the correct statement .
Step-by-step explanation:
In ΔCDE, m∠C = 30° and m∠E = 50°
Therefore by angle sum property of triangles
m∠C+m∠D+m∠E=180°
⇒m∠D=180°-m∠E-m∠C=180°-30°-50°=100°
⇒m∠D=100°
In ΔFGH, m∠G = 100° and m∠H = 50°
Similarly m∠F +∠G+m∠H=180°
⇒m∠F=180°-∠G-m∠H=180°-100°-50=30°
⇒m∠F=30°
Now ΔCDE and ΔFGH
m∠C=m∠F=30°,m∠D=m∠G=100°,m∠E=m∠H=50°
by AAA similarity criteria ΔCDE ≈ ΔFGH but can't say congruent.
Congruent triangles are the pair of triangles in which corresponding sides and angles are equal . A congruent triangle is a similar triangle but a similar triangle may not be a congruent triangle.
Answer:
Well, in order o figure this out, you have to understand the definition or range.
Range is the difference between the lowest and highest values.
Since 78 use to be the highest number, the range was 55
Now when we remove the outlier, the new highest value is 45, decreasing the range to 22.
Hope this helps!
