Answer:
a. x=11°
b. ABC=106°, BCA=33° and BAC=41°
c. Sorry but I can't see the lines l and m
Step-by-step explanation:
a. the question stated that the sum of the measures of the angles in the triangle is 180°
so therefore equate all the values in the triangle to 180°
(9x+7)+ 3(x) + (3x+8)=180°
15x+ 15=180
15x=180-15
15x=165
Divide both sides by 15
therefore x=11
b. ABC=(9x+7)
where there is x put the x value you solved for there which is 11
therefore ABC=(9×11+7)= 106°
Do the same for BCA and BAC
The student's measurement was off by an absolute error of
|2.9 cm - 2.6 cm| = 0.3 cm
The percent error in the measurement is the absolute error divided by the actual length of the string,
(0.3 cm) / (2.9 cm) ≈ 0.103 = 10.3%
Answer:
68.0°
Step-by-step explanation:
The tangent function relates the sides of a right triangle to the angle:
Tan = Opposite/Adjacent
The mast is opposite the angle of elevation, and the shadow is adjacent, so you have ...
tan(angle) = (42 ft)/(17 ft)
The inverse tangent function is used to find the angle whose tangent is a particular value.
angle = arctan(42/17) ≈ 67.964°
The angle of elevation is about 68.0°.
Answer:$18.20
Step-by-step explanation: deposit means to put in, so you would subtract -$3.20 by $15 to get $18.20, which is his new balance.