3 years ago

What is the value of X in the following parallelogram?

Mathematics

1 answer:

Furkat [3]3 years ago

7 0

Answer: x = 35

Step-by-step explanation:

In a parallelogram, the opposite sides and the opposite angles are equal and parallel.

Also, the consecutive angles in a parallelogram are supplementary. This means that the sum of the consecutive angles is 180 degrees.

Angle (2x - 10) and angle (2x + 50) are consecutive angles. Therefore,

2x - 10 + 2x + 50 = 180

2x + 2x - 10 + 50 = 180

4x + 40 = 180

4x = 180 - 40 = 140

x = 140/4

x = 35

You might be interested in

The data set shows the ages of people riding a bus. What is the mode for this data set? 18 16 11 45 33 11 33 14 18 11

podryga [215]

11 Is the answer I think

3 0

2 years ago

From a pack of 9 cards numbered 1-9, three cards are drawn at random and laid on a table from left to right.

Andreas93 [3]

Answer: 1/6
Explanation: Since we need to draw three cards from a pack of 9 and the digits require an order, then our sample space becomes: 9P3.
Now, we don't care about picking an order when picking three cards to analyse, as there is only 1 way in arranging the three cards in descending order.

Thus, we get:

$\frac{^{9}C_3}{^{9}P_3} = \frac{1}{6}$