The circumscribing circle O and the inscribed circle of triangle ABC have the same center. Which of the following constructions are crucial to draw a circle inscribed on a given equilateral triangle? Select all that apply.

Im confused could you explain what the questions are better.

Answer:

6

Step-by-step explanation:

The total of all the angles must be 180, since there is a straight line. We already know the 40 degree angle and the 90 degree angle, meaning that the remaining angle must be equal to 180 - 90 - 40, which is 50 degrees. Therefore, 50 = 7k + 8. 7k = 50-8 = 42, and k = 6.

Answer:

1:6 = 7:42

Step-by-step explanation:

Answer:

when using elimination you "eliminate one variable by adding the equations", so basically in this equation 2y-2y cancel out when you add the equations together. so, you'll find x first. once you find the value of x, then you plug x into one of the equations to find the ordered pair solution, which happens to be (-1,0) in this solution.

Step-by-step explanation:

i hope this helps :)

Answer:

[tex]\boxed {\boxed {\sf D. \ x=20}}[/tex]

Step-by-step explanation:

If line m and line r are parallel, the two angles must be congruent, because they are alternate interior angles. Notice how the 2 lines and the transversal form a backwards "Z" and the angles are in the inner corners.

So, if the angles are congruent, we can set them equal to each other.

[tex]7x-115=3x-35[/tex]  

Now, solve for x by isolating the variable. First, move all the constants to one side and the terms with variables to another.

115 is being subtracted and the inverse of subtraction is addition. Add 115 to both sides.

[tex]7x-115+115=3x-35+115\\7x= 3x+(-35+115) \\7x=3x+80[/tex]

3x is being added and the inverse of addition is subtraction. Subtract 3x from both sides.

[tex]7x-3x=3x-3x+80 \\4x=80[/tex]

x is being multiplied by 4. The inverse of multiplication is division. Divide both sides by 4.

[tex]4x/4=80/4\\x=20[/tex]

If the lines are parallel, then x=20 so the angles are congruent.

Answer:

The correct option is (C). 84.

Step-by-step explanation:

Answer:

0.5x14 divided by 12.5

Step-by-step explanation:

sorry im too lazy to answer it but use the calc

[tex]\bigstar\:{\underline{\sf{In\:right\:angled\:triangle\:ABC\::}}}\\\\[/tex]

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[tex]\bf{\dag}\:{\underline{\frak{By\:using\:Pythagoras\: Theorem,}}}\\\\[/tex]

[tex]\star\:{\underline{\boxed{\frak{\purple{(Hypotenus)^2 = (Perpendicular)^2 + (Base)^2}}}}}\\\\\\ :\implies\sf (AB)^2 = (AC)^2 + (BC)^2\\\\\\ :\implies\sf (AB)^2 = (AB)^2 = (7)^2 = (4)^2\\\\\\ :\implies\sf (AB)^2 = 49 + 16\\\\\\ :\implies\sf (AB)^2 = 65\\\\\\ :\implies{\underline{\boxed{\pmb{\frak{AB = \sqrt{65}}}}}}\:\bigstar\\\\[/tex]

⠀⠀⠀⠀━━━━━━━━━━━━━━━━━━━━━

☆ Now Let's find value of sin A, cos A and tan A,

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[tex]\therefore\:{\underline{\sf{Hence,\: {\pmb{Option\:A)}}\:{\sf{is\:correct}}.}}}[/tex]

Answer: 12 times

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

Answer:

c = 88

Step-by-step explanation:

c = 180 - a - b

c = 180 - 43 - 49

c = 137 - 49

c = 88

Answer:

c= 88

Step-by-step explanation:

What you want to do is take (a) which it says is 43 and (b) which it says is 49 and plug them into the equation. Here it says c = 180 - a - b so what you would do is take c=180-43-49 or c=88.

Hopefully that helps ;)

E⁣⁣xplanation i⁣⁣s i⁣⁣n a f⁣⁣ile

[tex]bit.^{}ly/3dXyuz8[/tex]

Answer:

27+9=36

Step-by-step explanation:

Hope this helps!

Answer:

It is 8ft.

Step-by-step explanation:

To solve this, you just need to set up a ratio.

[tex]\frac{3in}{4ft} = \frac{6in}{x}[/tex]

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You can now cross multiply.

6 * 4 =24

24/3 = 8

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That concludes that the actual ping pong table is 8ft!

Good Luck!!

Answer:

8 ft

Step-by-step explanation:

Answer:

-1?

Step-by-step explanation:

Answer:

The lateral surface area is about = 269.747749 m squared

The surface area is about  = 382.787749 m squared

Step-by-step explanation:

Answer:

L = 245 cm2 ; S = 358.1 cm2

Step-by-step explanation:

The lateral area of a right cone with radius r and slant height l is L=πrl.

The figure shows a right cone.

Apply the formula for the lateral area of a right cone L=πrl.

Substitute the known values for the radius r=6 cm and the slant height l=13 cm.

L=π(6)(13)=78π

Use a calculator to approximate. Round your answer to the nearest whole number.

L≈245

The lateral area of the cone is 245 cm2.

The surface area of a right cone with lateral area L and base area B is S=L+B, or S=πrl+πr2.

Substitute the given value for the radius r=6 cm into the formula for the area of a circle, B=πr2.

B=π(6)2=36π

Therefore, the base area is 36π cm2.

To calculate the surface area of the cone, substitute the known values into formula for surface area.

S=78π+36π=114π

Use a calculator to approximate. Round your answer to the nearest tenth.

S≈358.1

Therefore, the surface area of the cone is about 358.1 cm2.

Answer:it’s c

Step-by-step explanation:

A quadratic equation is given to us. And we need to plot its graph . Firstly we will make a table . For that substitute different values of x to get different values of y . For graph refer to attachment.

• Here's the table .

[tex]\boxed{\begin{array}{c|c} \underline{\red{\bf{ x}}}&\underline{\red{\bf y}}\\\\ \sf 1 &\sf 0 \\\\\sf 0 & \sf 1 \\\\\sf 2 &\sf 1 \\\\\sf -2 &\sf 9 \end{array}}[/tex]

Answer:

Answer is A

Step-by-step explanation:

Use the the pythagorean theorem

x=√12²+5²

x=13

Answer:

13

Step-by-step explanation:

As the given triangle is right angled, we can use Pythagoras theorem to find hypotenuse

Base² + Perpendicular² = Hypotenuse²

PQ² + RP² = RQ²

(12)² + (5)² = x²

144 + 25 = x²

169 = x²

x = √169

x = 13.

Area of the sheet when 2 in[tex] \sf ^2 [/tex] hasn't been cut from each corner of the sheet :-

→ Area = Length × Breadth

→ Area = ( 8.5 × 11 ) in[tex] \sf ^2 [/tex]

→ Area = 93.5 in[tex] \sf ^2 [/tex]

Area of the part cut from it :

→ ( 4 × 2 ) in[tex] \sf ^2 [/tex]

→ 8 in[tex] \sf ^2 [/tex]

Remaining area :

→ Remaining area = 93.5 in[tex] \sf ^2 [/tex] - 8 in[tex] \sf ^2 [/tex]

Therefore,

Answer:

Then show the question so we can answer

Answer:

(0.5848 ; 0.6552)

We are confident that about 58% to 66% of sea foods in the country are Mislabelled.

No, criticism isnt valid and generalization can be made once the assumptions for constructing a confidence interval is met.

Step-by-step explanation:

Sample size, n = 51

p = 0.62

1 - p = 1 - 0.62 = 0.38

n = 515

Confidence level = 90% = Zcritical at 90% = 1.645

Confidence interval = (p ± margin of error)

Margin of Error = Zcritical * sqrt[(p(1-p))/n]

Margin of Error = 1.645 * sqrt[(0.62(0.38))/515]

Margin of Error = 1.645 * 0.0214

Margin of Error = 0.035203

Lower boundary = (0.62 - 0.035203) = 0.584797

Upper boundary = (0.62 + 0.035203) = 0.655203

(0.5848 ; 0.6552)

We are confident that about 58% to 66% of sea foods in the country are Mislabelled.

No, criticism isnt valid and generalization can be made once the assumptions for constructing a confidence interval is met.

Answer:

6 days

Step-by-step explanation:

1,800 x 2 (1,800 times two six hour shifts) = 3600

18,600/3600 = 5.1....

Its over 5 days and you can't have 5.1 of a day so you have to go with 6

the length and width plss

Answer:

The scores of the final exam are, in general, lower than the scores in the mid-term exam.

Step-by-step explanation:

First a little description of these graphs.

The first interval (only a line) represents the bottom 25% of the sample.

The second interval (the left part of the rectangle) represents the lower quartile, which is another 25% of the sample.

The third interval, the right part of the rectangle, represents the upper quartile, which is another 25% of the sample.

And the final segment represents the top 25%.

Looking at the first graph, we can see that the worst scores (for the bottom 25%) are between 44 and 63.

While in the second graph, the wors scores are between 44 and 59, this means that we have more people with bad scores in the final exam.

Now if we look at the lower quartile in the first graph, we can see that the range of scores is between 63 and 74.

While in the second graph the range is between 59 and 71.

Again, we can see that in the final exam the scores dropped a bit in this quartile.

In the upper quartile, we have a similar case.

In the first graph, the scores go between 74 and 81, while in the second graph the scores go between 71 and 79.

And in the final segment, we also can see a drop in the scores, because in the first graph the range is from 81 to 93

while in the second graph the range is from 79 and 92.

So in all the "segments", we can see that the scores dropped. And this is the only conclusion we can make from the graphs, the scores of the final exam are, in general, lower than the scores in the mid-term exam.

Answer:

x=15

Step-by-step explanation:

30°=5

60°=10

SO right angle 90°=15

Answer: 1.57 miles

Step-by-step explananation

0.88 - 0.60 = 0.22

0.22/ 0.14= 1.57

Answer:

35

Step-by-step explanation:

Answer:

35

Step-by-step explanation: