There is 2 midpoints on a line segment.
9514 1404 393
Answer:
a. 12 cm
b. 90°
c. 60°
Step-by-step explanation:
The relevant relationships are ...
- all sides of a rhombus have the same length
- the diagonals of a rhombus are perpendicular bisectors of each other
- the diagonals of a rhombus divide the figure into 4 congruent triangles
__
a) The perimeter, 48 cm, is the sum of four equal side lengths, so any given side is (48 cm)/4 = 12 cm.
GH = 12 cm
__
b) Angle EJF is where the diagonals meet. It is a right angle.
∠EJF = 90°
__
c) Angle EFJ is the complement of the one marked, so is 30°. Angles EHJ and GHJ are congruent to that, so both are 30°. Angle EHG is the sum of those two congruent 30° angles, so is ...
∠EHG = 60°
Answer:
(A) and (B)
Step-by-step explanation:
(A) 
On simplifying this, we get


which is equivalent to the other term, thus this option is correct.
(B) 
On simplifying this, we get


which is equivalent to the other term, thus this option is correct.
(C) ![(\sqrt[3]{125})^7 and (125)^\frac{3}{7}](https://tex.z-dn.net/?f=%28%5Csqrt%5B3%5D%7B125%7D%29%5E7%20and%20%28125%29%5E%5Cfrac%7B3%7D%7B7%7D)

which are not equivalent, thus this option is not correct.
(D) 
which are not equivalent, thus this option is not correct.
Terra bought 37 bottles of juice. 2 bottles each day for 15 days is 30 bottles. Add another 7 bottles of juice,(for the 16th day) and you get 37 bottles of juice.