Answer:
Step-by-step explanation:
3. Use Cosine law to find the length of the unknown side (PR)
q² = p² + r² - 2prCos Q
q is the opposite side of ∠Q;
p is the opposite side of ∠P; p = 33
r is the opposite sides of ∠R ; r = 67
q² = 33² + 67² - 2* 33*67 Cos 19°
= 1089 + 4489 - 4422 * 0.95
= 1089 + 4489 - 4200.9
= 1377.1
q = √1377.1
q = 37.1
PR = 37.1
To find the angle use law of sin
![\sf \dfrac{q}{Sin \ Q} =\dfrac{p}{Sin \ P}\\\\\\\dfrac{37.1}{Sin \ 19}=\dfrac{33}{Sin \ P} \\\\\\\dfrac{37.1}{0.33}=\dfrac{33}{Sin \ P}\\\\\\37.1* Sin \ P = 33 *0.33\\\\Sin \ P =\dfrac{33*0.33}{37.1}](https://tex.z-dn.net/?f=%5Csf%20%5Cdfrac%7Bq%7D%7BSin%20%5C%20Q%7D%20%3D%5Cdfrac%7Bp%7D%7BSin%20%5C%20P%7D%5C%5C%5C%5C%5C%5C%5Cdfrac%7B37.1%7D%7BSin%20%5C%2019%7D%3D%5Cdfrac%7B33%7D%7BSin%20%5C%20P%7D%20%5C%5C%5C%5C%5C%5C%5Cdfrac%7B37.1%7D%7B0.33%7D%3D%5Cdfrac%7B33%7D%7BSin%20%5C%20P%7D%5C%5C%5C%5C%5C%5C37.1%2A%20Sin%20%5C%20P%20%3D%2033%20%2A0.33%5C%5C%5C%5CSin%20%5C%20P%20%3D%5Cdfrac%7B33%2A0.33%7D%7B37.1%7D)
Sin P = 0.3
![P = Sin^{-1} 0.3\\](https://tex.z-dn.net/?f=P%20%3D%20Sin%5E%7B-1%7D%200.3%5C%5C)
P = 17.5°
∠R = 180 - (19 + 17.5)
= 143.5°
Answer:
441/4
Step-by-step explanation:
Find the GCD of numerator and denominator
GCD of 1323 and 12 is 3
Divide both the numerator and denominator by the GCD
1323 ÷ 3
12 ÷ 3
Reduced fraction:
441/4
________
Hope this helps!
-Lexi
Answer:
QR = 5.
Step-by-step explanation:
Because the parallelograms are similar then the corresponding sides are in the same ratio.
So AB / PQ = BC / QR
9/3 = 15 / QR
15 / QR = 3
QR = 15/3
= 5. (answer)
Answer:
false
Step-by-step explanation:
just trust me
I can't solve it but you can enter the equation into www.quickmath.com and it will give you the answer. Hope it helps.