Answer:
72
Step-by-step explanation:
If SR and RU have the same length, a right angle, and a shared side, we know that they are congruent triangles using SAS (Side Angle Side). Our equation to find the perimeter would be SR + RU + UT + TS or 16 + 16 + 20 + 20(using our knowledge of the congruent triangles) = 72.
Answer: C) exactly one triangle
<u>Step-by-step explanation:</u>
Given: ∠A = 45°, ∠B = 65°, side c = 4 cm
By the Triangle Sum Theorem, ∠C = 70°
Now you have a proportion so you can use the Law of Sines to find the exact length of side a and of side b.
![\dfrac{\sin\angle A}{a}=\dfrac{\sin\angle B}{b}=\dfrac{\sin\angle C}{c}\\\\\\\dfrac{\sin 45^o}{a}=\dfrac{\sin65^o}{b}=\dfrac{\sin70^o}{4}](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Csin%5Cangle%20A%7D%7Ba%7D%3D%5Cdfrac%7B%5Csin%5Cangle%20B%7D%7Bb%7D%3D%5Cdfrac%7B%5Csin%5Cangle%20C%7D%7Bc%7D%5C%5C%5C%5C%5C%5C%5Cdfrac%7B%5Csin%2045%5Eo%7D%7Ba%7D%3D%5Cdfrac%7B%5Csin65%5Eo%7D%7Bb%7D%3D%5Cdfrac%7B%5Csin70%5Eo%7D%7B4%7D)
Thus, there is exactly one triangle.
The sequence is to multiply by -3. Therefore, you want to multiply by -3 which gives you 108. Since it is a negative by a positive the answer would be negative. The next term would be -108.
Answer:
15 presents
Step-by-step explanation:
42 cm / 14 presents = 3 cm / 1
3cm / 1 presents = 45 / 15