Answer:
-16 and -14
14 and 16
Step-by-step explanation:
Let's say x is the smaller integer and x+2 is the larger integer. Their product is 224.
x (x + 2) = 224
x² + 2x = 224
Complete the square and solve for x.
x² + 2x + 1 = 225
(x + 1)² = 225
x + 1 = ±15
x = -16 or 14
x + 2 = -14 or 16
So the integers are either -16 and -14, or 14 and 16.
Answer:
See explanation
Step-by-step explanation:
16. Two parallel lines are cut by transversal. Angles with measures
and
are alternate exterior angles. By alternate exterior angles, the measures of alternate exterior angles are the same:

Then

17. Two parallel lines are cut by transversal. Angles with measures
and
are alternate interior angles. By alternate interior angles, the measures of alternate interior angles are the same:

Then

18. Two parallel lines are cut by transversal. Angles with measures
and
are alternate exterior angles. By alternate interior angles, the measures of alternate exterior angles are the same:

Then

19. The diagram shows two complementary angles with measures
and
. The measures of complementary angles add up to
then

Hence,

Check:

20. Angles
and
are vertical angles. By vertical angles theorem, vertical angles are congruent, so

Hence,

21.
and
are supplementary. The measures of supplementary angles add up to
so

Therefore,

Answer:
45
Step-by-step explanation:
KL = 12 because the triangle is isosceles ( base angles are congruent)
KJ = JM = 12 because the triangle is equilateral ( all angles are equal 60°)
the perimeter is
P = 9 + 12 + 12 +12 = 9 +36 = 45
Answer:
i think that is 2m + m14
Step-by-step explanation:
The compass heading is 242.5deg