Answer:
A) 33
Step-by-step explanation:
180 - 105= 75
75 + 72 + x = 180
147 + x = 180
x= 33
No 2/3 of $21 is $14 so 6x14 is $84 less than $110
Answer:
m∠Q ≈ 53°
Step-by-step explanation:
To find the measure of ∠Q, the law of cosines will need to be used. Lowercase letters represent the side lengths, while upper case letters represent angles.
In this situation, 'A' will be ∠Q. Therefore:
17² = 18² + 20² -2(18)(20)cosQ
Simplify:
289 = 324 + 400 -2(360)cosQ
Continue simplifying down:
-435 = -720cosQ
Divide both sides by '-720':
0.604 = cosQ

m∠Q ≈ 52.83 or 53° rounded to the nearest whole degree.
Answer:
Concept: Mathematical Derivation
- We are given x^2 +6x+2x+12
- Hence we simplify: x^2 + 8x +12
- Now we factor: (x+2)(x+6)
- By mathematical logic we now proved that the roots are x=-2 and x=-6
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