Answer:
3x-13+2x+4=116( the sum of two interior angle is epual to the sum of exterior angle )
5x =116-9
5x=107
x=21.4 degree
then
angle a= 3*21.4-13
a=51.2degree
angle b=2*21.4+2
b =44.8degree
Step-by-step explanation:
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Answer:
1/3
Step-by-step explanation:
The scale factor is the ratio of image lengths to original lengths. For this pair of figures, the scale factor is ...
A'B'/AB = 2/6 = 1/3
The scale factor is 1/3.
The quotient for the given mixed fraction is 1.9318
Step-by-step explanation:
Step 1; First we must convert the mixed fractions into improper fractions. To do that the whole number is multiplied with the denominator and add with it the numerator while the denominator does not change. To convert this fraction
we multiply 4 with 4 and then add 1 and keep the 4 as the fraction's denominator so we get
. Similarly, we get the improper fraction
for converting the mixed fraction
.
Step 2; After conversion, it's just a matter of division. The fraction
equals 4.25 while the denominator
equals 2.2. Dividing 4.25 by 2.2 we get 1.9318.
Consider the triangles formed by the lines of sight in parts a and b. In part a, the distance from the horizontal to the base of the antenna is 82.0*tan31.0º; in part b, the distance from the horizontal to the top is 82.0*tan34.2º. The antenna height is the difference between these
<span>h = 82.0*tan34.2º - 82.0*tan31.0º = 82.0*(tan34.2º - tan31.0º) = 6.46 m</span>