Answer:
The answer to your question is 31.4°
Step-by-step explanation:
Data
SR = 54 cm
SQ = 99 cm
RQ = 141 cm
∠QRS = ?
Process
1.- Use the law of cosines to find ∠QRS
cos QRS = (SQ² - RS² - RQ²) / -2(SR)(RQ)
-Substitution
cos QRS = (99² - 54² - 141²) / -2(54)(141)
-Simplification
cos QRS = (9801 - 2916 - 19881) / -15228
cos QRS = -12996 / -15228
cos QRS = 0.85343
2.- Find QRS
∠QRS = 31.4°
Answer:
62°
Step-by-step explanation:
180°-68.5°-49.5°=62°
Answer:
m(∠C) = 18°
Step-by-step explanation:
From the picture attached,
m(arc BD) = 20°
m(arc DE) = 104°
Measure of the angle between secant and the tangent drawn from a point outside the circle is half the difference of the measures of intercepted arcs.
m(∠C) = ![\frac{1}{2}[\text{arc(EA)}-\text{arc(BD)}]](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%5B%5Ctext%7Barc%28EA%29%7D-%5Ctext%7Barc%28BD%29%7D%5D)
Since, AB is a diameter,
m(arc BD) + m(arc DE) + m(arc EA) = 180°
20° + 104° + m(arc EA) = 180°
124° + m(arc EA) = 180°
m(arc EA) = 56°
Therefore, m(∠C) = 
m(∠C) = 18°
<u>On the first part, just replace the variables with the given number to check. </u>
1) 34 + 12 = 46 → <u>Correct</u>
2) 22 - 9 = 14 → <u>Incorrect</u>
3) 6 * 9 = 54 → <u>Correct</u>
4) 39 ^ 3 = 13 → <u>Correct</u>
<u />
<u>On the second part, simply change the symbols. Like this:</u>
5) 7 + k = 11 ⇒ 11 - 9 = k
<u>K = 2 </u>
6) p - 24 = 13 ⇒ 13 + 24 = p
<u> p = 37 </u>
7) b - 16 = 7 ⇒ 7 + 16 = b
<u>b = 23</u>
8)
+ m =
⇒
-
= m
<u>m = 13/30</u>
<u></u>
<em><u>Hope this helps!</u></em>
B. (3,-1) is the answer.
it is in the shaded part so it’s a solution