9.
<2 and <6 are right angles by the definition of perpendicular lines.
Since corresponding angles are congruent, m || n.
11.
In a triangle, the measures of the three angles add to 180 degrees.
If one angle is a right angle, then that angle measures 90 degrees. The other two angle measures plus 90 degrees add to 180 degrees, so the other two angle measures add to 90 degrees. In a right triangle there is a right angle and two other angles that are complementary.
Now look at your problem.
One angle is a right angle.
The other two angles are complementary, so their measures add to 90 deg.
8x + 2 + 9x + 3 = 90
17x + 5 = 90
17x = 85
x = 5
The musician can arrange the musical selections 24 times. :)
There is 15 bars in each case.
Subtract 8 from 143 and you get 135.
Divide 135 by 9 and you get 15 :)
Answer:
slope of line pass throught jk is 0.5 slope
since line perpendicular to jk then x × 0.5= -1 so slope of line perpendicular is -2
then eq of line is y= -2x -15
Answer:
p = -4
Step-by-step explanation:
-3( 2+4p) + 7 = 49
Subtract 7 from each side
-3( 2+4p) + 7 -7= 49-7
-3( 2+4p) = 42
Divide by -3
-3( 2+4p) /-3 = 42/-3
( 2+4p) = -14
Subtract 2 from each side
2+4p-2 = -14-2
4p = -16
Divide by 4
4p/4 = -16/4
p = -4
