All categories

2 years ago

Find x .

Mathematics

1 answer:

lisabon 2012 [21]2 years ago

8 0

Answer:

x = 110°

Step-by-step explanation:

I think that CHORDS AC & BD are intersecting at centre of the circle. If it is so then,

Since, measure of central angle of a circle is equal to the measure of its corresponding arc or vice versa.

You might be interested in

The area of ABED is 49 square units. Given AGequals9 units and ACequals10 units, what fraction of the area of ACIG is represent

stiks02 [169]

Answer:

The fraction of the area of ACIG represented by the shaped region is 7/18

Step-by-step explanation:

see the attached figure to better understand the problem

step 1

In the square ABED find the length side of the square

we know that

AB=BE=ED=AD

The area of s square is

$A=b^{2}$

where b is the length side of the square

we have

$A=49\ units^2$

substitute

$49=b^{2}$

$b=7\ units$

therefore

$AB=BE=ED=AD=7\ units$

step 2

Find the area of ACIG

The area of rectangle ACIG is equal to

$A=(AC)(AG)$

substitute the given values

$A=(9)(10)=90\ units^2$

step 3

Find the area of shaded rectangle DEHG

The area of rectangle DEHG is equal to

$A=(DE)(DG)$

we have

$DE=7\ units$

$DG=AG-AD=9-7=2\ units$

substitute

$A=(7)(2)=14\ units^2$

step 4

Find the area of shaded rectangle BCFE

The area of rectangle BCFE is equal to

$A=(EF)(CF)$

we have

$EF=AC-AB=10-7=3\ units$

$CF=BE=7\ units$

substitute

$A=(3)(7)=21\ units^2$

step 5

sum the shaded areas

$14+21=35\ units^2$

step 6

Divide the area of of the shaded region by the area of ACIG

$\frac{35}{90}$

Simplify

Divide by 5 both numerator and denominator

$\frac{7}{18}$

therefore

The fraction of the area of ACIG represented by the shaped region is 7/18

5 0

2 years ago

A ladder is leaning against a tall wall with the foot of the ladder placed at 7 feet from the base of the wall and the angle of

djverab [1.8K]

Complete question is;

A 21 ft ladder is leaning against a tall wall with the foot of the ladder placed at 7 feet from the base of the wall and the angle of elevation is?

Answer:

θ = 70.5°

Step-by-step explanation:

The angle of elevation simply means the angle that the ladder makes with the ground. Let's call this angle θ.

I've attached a diagram showing the triangle made by this ladder and the wall.

From the attached diagram, we can see the triangle formed by the ladder and the wall.

We can find the angle of elevation θ from trigonometric ratios.

Thus;

7/21 = cos θ

cos θ = 0.3333

θ = cos^(-1) 0.3333

θ = 70.5°

7 0

2 years ago

-5x-2y= −5x−2y= \,\,-40 −40 y= y= \,\,2x+2 2x+2

Eva8 [605]

Answer: look at the ss :))

Step-by-step explanation:

4 0

2 years ago

How do I do number 3

kogti [31]

you simply have to add all of the numbers together, so it'll be 2+5+12+7+1 or 27, therefore the answer is B

5 0

2 years ago

Read 2 more answers

A bulb can either be on or off. A board contains 20 bulbs connected to a randomization circuit that lights up a random sequence

Step2247 [10]

The chance that any given bulb is on is equal to 1/2. The chance that all twenty bulbs are on at the same time is $(\frac{1}{2}) ^{20} = \frac{1^{20}}{2^{20}} = \frac{1}{1048576}$

8 0

2 years ago

Read 2 more answers