3 years ago

In the diagram below, O is circumscribed about quadrilateral DEFG. What is the value of x?

Mathematics

1 answer:

Fofino [41]3 years ago

7 0

Answer:

A. 70

Step-by-step explanation:

The given quadrilateral DEFG is a cyclic quadrilateral.

$\angle F+70\degree=180\degree$ ...opposite angles of a cyclic quadrilateral are supplementary.

$\implies \angle F=180\degree-70\degree$

$\implies \angle F=110\degree$

The sum of angles in a quadrilateral is 360 degrees.

$x-10+70+110+120=360$

$x+290=360$

$x=360-290$

$x=70\degree$

You might be interested in

The U.S. Air Force has 19 women for every 81 men listed if the squadron has 750 members approximately how many are men?

laila [671]

If unrounded the answer would be 607.5 men but if rounded it would be 608 men

7 0

3 years ago

A plant grew 3/10 meter in april in may it grew 27/100 meter in may in june the plant grew 13/100 meter.Which fractions are equi

Vesna [10]

Answer:

The answer is 43/100, am i right or not?

4 0

3 years ago

Read 2 more answers

Fencing costs $25.80 per yard. How much does it cost to enclose two adjacent rectangular pastures as shown?

Westkost [7]

13.97 bye

Thank the very best friend and

8 0

2 years ago

Read 2 more answers

Like terms 4x + 2x + 7x

nasty-shy [4]

Since the 3 of them are like terms, we have to ADD all 3 of them.

4x+2x+7x= 13x

4 0

3 years ago

Read 2 more answers

39 is what percent of 96

ra1l [238]

Answer:

40.625%

Step-by-step explanation:

This is a very simple question.

We have to understand converting word equations to algebraic ones.

"is" means "="

"of" means "*"

So, we can write:

39 = what percent * 96

Now, we let "what percent" be "p" and solve the equation for p:

39 = P * 96

So,

$39 = P * 96\\39=96P\\P=\frac{39}{96}\\P=0.40625$

Converting this decimal to percentage means multiplying by 100, so we have:

0.40625 * 100

= 40.625%

7 0

3 years ago