factor the 2 denominators:-
a^2 - 6a + 9 = (a - 3)(a - 3)
a^2 - 8a + 15 = (a - 3)(a - 5)
((a - 3) is common to both sets of factors so the LCD is:-
(a - 3)(a - 3)(a - 5) or this can be written as (a -3)^2(a - 5)
13.55 should be your answer
Answer:
x = 3
Step-by-step explanation:
Because the endpoints of the segment with length 12.5 are the midpoints of the sides of the large trapezoid, the length of that segments, 12.5, is the average of the lengths of the top and bottom lengths of the large trapezoid.
(3x + 1 + 15)/2 = 12.5
Multiply both sides by 2.
3x + 16 = 25
3x = 9
x = 3
Answer:
1)B:63°
2)A:59°
Step-by-step explanation:
1.ABC is a right triangle at C then angle ACB=90°(right angle)
Angle CAB=27°(see the given)
measure of the angles in any triangle is 180°
then angle CBA=
measure of all the angles - (measure ACB+measure CAB)
=180°-(90°+27°)
=63°
2. Same explanation of angle B:
in the right triangle DEF: angle DEF=90°
angle D=31°(given)
Then measure of angle A=180°-(angle E + angle D)
=180-(90+31)=59°
Distance = Y=1.7t
L = 6sin(tan^-1(d/8))
L = 6sin(tan^-1(1.7t/8))
