Given that the quadrilateral shown is a parallelogram. Use the properties of parallelograms to find x if ∠A = 133° and ∠D = (3x + 35)°. A) x = 2 B) x = 4 C) x = 5 D) x = 7 2) Use the properties of parallelograms to find x if ∠A = 122° and ∠C = (2x + 60)°. A) x = 27 B) x = 29 C) x = 31 D) x = 33

(i)  Option B , x=4

(ii)   Option C, x=31

Step-by-step explanation:

Step 1:

Angle properties of parallelogram is as follows :

-   Opposite angles are equal

-   Adjacent angles are supplementary, i.e the sum of the adjacent angles are 180

Step 2:

∠A and ∠D  are adjacent and hence their sum is equal to 180

So, 133 + 3 x + 35 = 180

=> 3 x + 168   = 180

=>   3 x = 180-168 = 12

=>   x = 4

Step 3:

∠A and ∠C are opposite and hence they are equal

So, 2 x + 60 = 122

    2 x =  62

       x = 31

the square root of what number? if you add that, then someone will probably answer the question.

answer:   35 % is the probability of a late departure or an early arrival.

step-by-step explanation:

let l represents the late departure and e represents the early departure.

then, according to the question,

p(l) = 12 %,   p(e) = 27 % and = 4 %

and, we have to find out,

but, we know that,

which is the required equation that will use to find the probability of a late departure or an early departure.

therefore,   the probability of a late departure or an early arrival =   35 %