Answer:
m<1 = 60°
m<2 = 30°
m<3 = 90°
Step-by-step explanation:
Recall some properties of Rectangle. Thus:
The four angles of a rectangle are right angles = 90° each.
Opposite sides of a rectangle are also parallel to each other.
With the knowledge of these, we can solve for angles 1, 2, and 3.
Thus:
m<1 = 60° (alternate interior angles are congruent)
m<2 + m<1 = 90° (complementary angles)
m<2 + 60° = 90° (substitution)
m<2 = 30° (substraction property of equality)
m<3 = 90° (angle of a rectangle)
4.) the bag would have 30 marbles in it
3,5, and 6 can all be divided equally by 30.
5.) 1/14
you would do 4/7-1/2 which equals 1/14
(this one could be wrong im not good with fractions)
Answer:
<em>The distance from the flagpole to the tree is 27 ft</em>
Step-by-step explanation:
<u>Similar Triangles</u>
Since the elevation angle from which the trees cast their shadows has the same measure and given the tree and the flagpole and the ground form right angles, both triangles are similar.
Similar triangles have their corresponding side lengths proportional. The ratio between the distances from the bench to the tree and flagpole and their heights is constant, i.e.:
Where x is the distance from the bench to the tree.
Solving for x:
x = 45 feet
Thus the distance from the flagpole to the tree is 45 - 18 = 27 feet
Answer:
Just by simply adding the two quantities you can get the net change. $67.12 +(addition sign because we want the net change) $2.56= $69.68. The last number is the net change!
Step-by-step explanation:
Your answer is three out of the people in your school.
