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2 years ago

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

Mathematics

2 answers:

Oxana [17]2 years ago

8 0

Answer:

61°

Step-by-step explanation:

earnstyle [38]2 years ago

5 0

Answer:

A. $61^{o}$

Step-by-step explanation:

We are told that circle O is circumscribed about quadrilateral DEFG.

Since we know that the opposite angles of quadrilateral inscribed inside a circle are supplementary.

Let us find value of x by equating the measure of x and its opposite angle with 180.

$x+119^{o}=180^{o}$

$x=180^{o}-119^{o}$

$x=61^{o}$

Therefore, the value of x is 61 degrees and option A is the correct choice.

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5y-6=3y-20 how do i solve this problem

rusak2 [61]

Minus 3y both sides
2y-6=-20
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2y=-14
divide 2
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7 0

2 years ago

Read 2 more answers

Kristen is 64 inches tall, and she stands 12 feet away from a streetlight. If she casts an 82-inch-long shadow, how tall is the

o-na [289]

Answer:

176.39 inches or

14.70 feet

Step-by-step explanation:

Consider the right triangle made by Kristen, ground and shadow.

This triangle has one leg as 64 inches.

Next consider the right triangle formed by street light, ground upto shadow tip.

The two triangles have common angle of elevation and also another angle as 90 degrees.

Hence the two triangles would be similar

Also if A is the angle made by hypotenuse of both triangles with the ground we have

$tanx=\frac{64}{82}$

This value also equals by bigger triangle as

$tanx=\frac{h}{82+12(12)}=\frac{h}{226}$

From these two we get

h = height of street light = $\frac{226(64)}{82} =176.39$

6 0

1 year ago

Which of the following could be the ratio of the length of the longer leg of a 30-60-90 triangle to the length of its hypotenuse

Aliun [14]

Answer:

Option C is correct.

Ratio of longer leg to hypotenuse is; $\sqrt{3} : 2$

Step-by-step explanation:

This is the special right angle triangle 30°-60°-90° as shown below in the figure.

The side opposite the 30° angle is always the shortest because 30 degrees is the smallest angle.

The side opposite the 60° angle will be the longer leg, because 60 degrees is the mid-sized degree angle in this triangle.

Finally , the side opposite the 90° angle will always be the largest side(Hypotenuse) because 90 degrees is the largest angle.

In 30°−60°−90° right triangle,

the length of the hypotenuse is twice the length of the shorter leg,also
the length of the longer leg is $\sqrt{3}$ times the length of the shorter leg.

Then:

the sides are in proportion i.e, $1:\sqrt{3} :2$

Therefore, the ratio of the length of the longer leg to the length of its hypotenuse is: $\sqrt{3} : 2$

7 0

2 years ago

Read 2 more answers

A game is played using one die. If the die is rolled and shows 1, the player wins $5. If the die shows any number other than 1,

mash [69]

Answer:

1/5

Step-by-step explanation:

i had a similar question

For each roll you start with paying 2 dollars and you only with 10 dollars one out of 6 rolls (on average).

So the cost for one play is 2 dollars and your win is 10/6.

Value is -2+10/6=-1/3 dollars

So you lose 1/3 dollars on average with each game

since you have no limited rolls u put 1/5

this from another question but both same just different numbers

6 0

2 years ago

Rita is planting saplings along her garden fence. When she started, she had x packages of saplings with 5 saplings per package.

Arturiano [62]

Answer:

A. When Rita started, she had 7 packages of saplings.

B. If we represent x (number of packages of saplings) on a number line graph, it will start on number 4 (number of packages Rita still has) then moves to the right to number 7, that is the number of packages when Rita started to plant.

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Number of packages Rita started = x

Number of saplings per package = 5

Number of saplings planted by Rita = 15

Number of saplings left = 20

2. How many packages of saplings did she start with?

Number of packages Rita started = (Number of saplings planted by Rita + Number of saplings left)/Number of saplings per package

Replacing with the real values:

x = (15 + 20)/5

x = 35/5 = 7

When Rita started, she had 7 packages of saplings.

3. What would the solution look like on a number line graph?

If we represent x (number of packages of saplings) on a number line graph, it will start on number 4 (number of packages Rita still has) then moves to the right to number 7, that is the number of packages when Rita started to plant.

5 0

2 years ago