How to find the missing measurements ?

CD = 10

AD = 22

EC = 13

AC = 26

∠CAD = 23°

∠BAC = 47°

∠ADC  =110°

Step-by-step explanation:

A parallelogram is a quadrilateral with two sets of opposite parallel lines.

Which mean in ABCD parallelogram given AB is parallel to DC and BC is parallel to AD.

Now lets find the values required,

CD = AB (Opposite sides are equal in length)

But, AB= 10 (given) therefore CD = 10.

AD = BC (Opposite sides are equal in length)

But, BC= 22 (given) therefore AD = 22.

EC = AE (Diagonals bisect each other)

But, AE= 13 (given) therefore EC = 13

AC = AE + EC

=

AC =

∠CAD = ∠BCA (Alternate interior angles are equal)

But, ∠BCA = 23° therefore, ∠CAD = 23°

∠BAC = ∠ACD (Alternate interior angles are equal)

But, ∠ACD = 47° therefore, ∠BAC = 47°

∠ADC + ∠BCD = 180° (Consecutive interior angles)

But,  ∠BCD = 23°+47°=70°

∠ADC = 180°- ∠BCD

           =180°-70°

∠ADC  =110°

d. millimeters per hour.

step-by-step explanation:

we are given that,

carlo used a rain gauge to measure the amount of water his lawn is receiving from the sprinklers.

since, according to the options, we see that,

water cannot be measured by 'miles per hour', 'meters per second' and 'grams per seconds'.

we get that, the water can be measured by 'millimeters per hour'.

hence, the appropriate rate for describing the amount of water is 'millimeters per hour'.