Quadrilateral QRST is inscribed in the circle. Find the measurements of each of the angles in Quadrilateral QRST. Show your work. (x-6) (x+12) (x-4) ​

Answers

Answer 1

Answer:

Given- O is the centre of a circle in which an equilateral ΔPQR has been inscribed.

To find out- ∠QOR=?

Solution- The points P, Q & R are on the circumference of the circle since ΔPQR has been inscribed in the circle. Now the chord QR subtends ∠QOR to the centre O and ∠QPR to the circumference at P.

∴ By rule, ∠QOR=2∠QPR.........(i).

Now PQR is an equilateral Δ. Each of its angle is 60

o

. i.e ∠QPR=60

o

.

So, from (i), ∠QOR=2∠QPR=2×60

o

=120

o

.

Ans- Option B.

solution


Related Questions

Jameson middle school give bottles of water to teachers and students who are going on a field trio. The school orders 500 bottles of water. They plan to give 35 bottles of water to teacher . They orderd at least 2 bottles of water for each student. How many students could be going on the field trip? Show your work

Answers

Answer: Almost 232 students going on the field trip.

Step-by-step explanation:

Let x be the number of students going on the field trip.

As per given,

[tex]2x+35 \leq500[/tex], where [tex]x\geq2[/tex].

To solve the inequality , subtract 35 from both sides

[tex]2x\leq465\\\\x\leq232.5[/tex] [divide both sides by 2]

i.e Almost 232 students going on the field trip.

A marble is selected at random from a jar containing 3 red​ marbles, 4 yellow​ marbles, and 5 green marbles. What is the probability that the marble is yellow?

Answers

4/12 percent chance



Let me know if you need extra help with other questions!
Also, Please mark me brainliest if this helped

Write an inequality that represents the graph.

Answers

y=mx+b

m=(y2-y1)/(x2-x1)
m=(0+3)/(1-0)
m=3

b=-3

y=3x-3
y ≤ 3x-3

Please help find volume of cone use 3.14 for pi

Answers

Answer:

.p^2+b^2=h^2

.144+b^2=225

.b^2=81

. therefore b=9

again. to

volume =1/3πr^2

=1/3×22/7×81

=567/21

=27ft^2

Ranking brainliest if correct

Answers

Answer:

Hello! answer: 18

Step-by-step explanation:

AC = 27 DF = 9 those are both the bottom sides of the triangles so we can find AB with this info so... 27 ÷ 9 = 3 DE = 6 6 × 3 = 18 therefore AB = 18 hope that helps!

Me pueden ayudar con estos ejercicios porfa.

Answers

Step-by-step explanation:

a. 3x²+10x+8 = (3x+4)(x+2)

b. 4x²+21x-18 = (4x-3)(x+6)

c. 3x²+8x+5 = (3x+5)(x+1)

d. 6x²+5x-4 = (2x-1)(3x+4)

e. 15x⁴-23x²+4 =(5x²-1)(3x²-4)

f. 15x⁴+23x²+4 =(5x²+1)(3x²+4)

g. 6x²-7x-3 = (2x-3)(3x +1)

h. 6x²-43x+72 = (3x-8)(2x-9)

3 connecting lines are shown. Line D F is horizontal. Line D E is about half the length of line D F. Line F E is about one-third of the length of line D F.
Which inequality explains why these three segments cannot be used to construct a triangle?

EF + FD > DE
ED + EF < DF
ED + EF > DF
EF + FD < DE

Answers

Answer:

second option ED + EF < DF

Step-by-step explanation:

in order to build a triangle or of 3 lines, every pair of 2 of these lines must be longer together than the third line.

otherwise you could put them together and place them flat alongside the third line and still cannot connect to the endpoint of the third line => no triangle possible.

ED (or DE) is half of the third line (DF or FD).

FE (or EF) is a third of the third line.

1/2 + 1/3 < 1/1 (because 1/3 < 1/2)

Answer:

ED + EF < DF or b

Three same-sized cubes are attached to the top of a rectangular prism as shown below.
If a=10 cm, b = 26 cm, and c = 6 cm, what is the surface area of the figure?
ANSWER ASAP PLEASE!!! IT WOULD MEAN ALOT

Answers

Answer:

Surface area of the figure = 1672 [tex]cm^{2}[/tex]

Step-by-step explanation:

Surface area of the figure = surface area of the prism + surface area of the 3 cubes

The surface area of the rectangular prism = sum of the area of its individual sides

                                             = 2(26 x 10) + 2(10 x 10) + 2(26 x 10)

                                             = 520 + 200 + 520

The surface area of the rectangular prism = 1240 [tex]cm^{2}[/tex]

Surface area of one of the cubes = 5(6 x 6)

                                                      = 180 [tex]cm^{2}[/tex]

The surface area of the 3 cubes = 3 x 180

                                                     = 540 [tex]cm^{2}[/tex]

Thus, the surfaces of the cubes on the prism covers a total area of 108 [tex]cm^{2}[/tex].

So that;

The surface area of the figure = (1240 - 108) + 540

                                               = 1132 + 540

                                                = 1672 [tex]cm^{2}[/tex]

Please help worth 20 points

Answers

e is the the answer.....

It’s e and b Ik because I done that before

Tell me what is wrong with this.
_____
/ \
| |
|______|
| | | |
| | | |

Answers

Answer:

among us lm*o na everything

Step-by-step explanation:

Sexagesimal
measure of (2pie/3)^c​

Answers

Answer:

Step-by-step explanation:

In Sexagesimal system  we know that π=180°

            [tex](2\times \frac{\pi}{3})^{\circ} = (2 \times \frac{180}{3})^{\circ} = (2 \times 60)^{\circ} = 120^{\circ}[/tex]

   

Answer:

120 ° is the correct ☑ answer.

Step-by-step explanation:

We know that in Sexagesimal measure the value of π is 180 ° .

( 2 π / 3 ) = 2 × 180 ° /3 = 360 °/ 3

= 120 °

Help me with this!!!

Answers

Answer:

4th answer

Step-by-step explanation:

g(h(x)) means to put the formula for h(x) into the formula for g(  ).

[tex]g(h(x))=g(2x-2)=-3(2x-2)^3-2(2x-2)^2\\=-3(8x^3-24x^2+24x-8)-2(4x^2-8x+4)\\=-24x^3+72x^2-72x+24-8x^2+16x-8\\=-24x^3+64x^2-56x+16[/tex]

Cubing the binomial 2x - 2 can take some time!

Drag each label to the correct location on the image.
Here is a multiplication sentence:

(1 × 4) × 2 = 8

Drag the numbers and the parentheses to create an equivalent multiplication sentence that illustrates the associative property of multiplication.

Answers

Answer:

1 x (4 x 2) = 8

Step-by-step explanation:

1 x (4 x 2) = 8

factorize: 9x^2 - 24xy + 16y^2

Answers

9x²-24xy+16y²

(3x)²-2.(3x)(4y) +(4y)²

(3x-4y)²

(3x-4y)(3x-4y)

Answer:

[tex](3x -4y)^2[/tex]

Step-by-step explanation:

[tex]9x^2 - 24xy + 16y^2 = (3x)^2 - 24xy + (4y)^2[/tex]

                           [tex]=(3x)^2 -2(3x \times 4y) + (4y)^2\\[/tex]

a = 3x , b = 4y . The expression [tex]a^2 - 2ab + b^2 = (a-b)(a-b) =(a-b)^2[/tex]

                           [tex]=(3x -4y)(3x - 4y)[/tex]

[tex]9x^2 - 24xy + 16y^2 = (3x -4y)^2[/tex]

                           

Solve the equation n3 = 8/125 for n n=______

Answers

Answer:

2/5

Step-by-step explanation:

learning Task 2 Answer the following problems. Show your complete solution in your notebook.
1. Jun wanted to know how much ice cream he got in one scoop. The radius of a scoop is 2 inches. Find the volume. Use 3.14 for pi.

What is asked in the problem
What are the given facts
What is the formula to be used
Number Sentence and final answer.

paki answer ng maayos​

Answers

Needed a point sorry UenEkajeahekesknshshshh

Una pileta de natación tiene un desnivel en el fondo, de tal manera que su profundidad varía entre 1m y 4,3m. ¿Cuál es el cambio de presión al nadar por el fondo de la pileta, desde la zona más baja hacia la zona más profunda? (Aplique Teorema Fundamental de la Hidrostática). Peso específico agua: γ=1000kgf/m³

Answers

Answer:

dhhdf Hf fu vvvvvvvbbb jcjsjjsisydydhfb DJ

What would it be? Little help plz

Answers

65 Ok UR WELCOME and let me know if u need work

A man owes rs 4000 in 4 years and rs 3400 due in 6 years. His creditor agreed for him to pay debts with a payment of rs 3000 in 3 years and the remainder in 8 years. If money is worth 7% compounded quarterly, the amount of the second payment is?

Answers

Answer:

15000 loan

Step-by-step explanation:

Suppose comparison date = 8 years

Hope this answer helps you :)

Have a great day

Mark brainliest

if h(x)=x-7 and g(x)= x^2, which expression is equivalent to (goh)(5)

Answers

Answer:

(goh)(5) = 4

Step-by-step explanation:

(goh)(x) = g(x-7)

g(x-7) = (x-7)^2

g(x-7)= x^2 - 14x + 49

(goh) = x^2 - 14x + 49

(goh)(5) = 5^2 - 14(5) + 49

(goh)(5) = 25 - 70 + 49

(goh)(5) = 4

Pleeeeeeease help meeee!!!!

Answers

Answer:

a = -7, b = -1, c = 1/3

Step-by-step explanation:

-x + 1/3 - 7x² ⇒ -7x² - x + 1/3

a = -7  b = -1  c = 1/3

Answer:

Step-by-step explanation:

[tex]ax^{2} + bx + c\\-7x^{2} - x + \frac{1}{3} \\a = -7\\b = -1\\c = \frac{1}{3}[/tex]

8 9 help me plsss free nitro

Answers

Answer:

8. 67 sure 100% so it will be A

9. I am not sure but the answer will be 100 or 120 so it will A or B

Good luck XD

Step-by-step explanation:

What is the value of the 30th percentile for the data set? 6283 5700 6381 6274 5700 5896 5972 6075 5993 5581 5972 6274 6075 5896

Answers

Answer:

5896

Step-by-step explanation:

Given data set:

6283 5700 6381 6274 5700 5896 5972 6075 5993 5581 5972 6274 6075 5896

To calculate the 30th percentile;

i. Rearrange the given data set in ascending order.

5581 5700 5700 5896 5896 5972 5972 5993 6075 6075 6274 6274 6283 6381

ii. Use the following formula to get the index of the value at the 30th percentile.

N = p(n)

Where;

N = the number of data points at or below the intended percentile.

p = the intended percentile.

n = the number of points in the data.

In this case;

p = 30 percent = 0.3

n = 14

Substitute these values into the equation;

N = 0.3(14)

N = 4.2

iii. From the calculated index, find the value of the 30th percentile.

If the index is a whole number x, the desired percentile is the average of the values at index x and x+1.

For example if the index is 4, then the desired percentile is the average of the values at index 4 and 5. In our case, that will be;

[tex]\frac{5896+5896}{2}[/tex] = 5896

If the index is a decimal number, it is rounded up to the nearest integer. The value at the rounded index is the desired percentile.

For example, in our case, the index is 4.2 which when rounded up becomes 4.

Therefore, the data point or value at index 4 is the 30th percentile. From the arrangement in (ii) above, that will be 5896. i.e

5581 5700 5700 5896 5896 5972 5972 5993 6075 6075 6274 6274 6283 6381

17.
Write the equation in standard form. Then factor the left side of the equation.

2x2 + 7x = 15


A. (2x – 3)(x + 5) = 0

B. (2x + 3)(x + 5) = 0

C. (2x + 5)(x – 3) = 0

D. (2x – 5)(x + 3) = 0

Answers

It should be B I have done my work

I suck at math can someone help me

Answers

Answer:

x=22

Step-by-step explanation:

x+14=5x-74 (being corresponding angles and correcponding angles are always equal)

14+74=5x-x

88=4x

88/4=x

22=x

Which option would prove that triangle ABC ~ triangle XYZ? Select two options.

Answers

Answer:

BA/YX=BC/YZ=AC/XZ

Step-by-step explanation:

SINCE,

ABC AND XYZ ARE EQUILATERAL TRIANGLE

ALL THREE SIDES ARE EQUAL

how to determine a polynomial expression ​

Answers

Answer:

hope this helps

Step-by-step explanation:

for an expression to be a polynomial term, it must contain no square roots of variables, no fractional or negative powers on the variables, and no variables in the denominators of any fractions.

Answer:

For an expression to be in polynomial form , the following conditions must be met :

No square roots of variablesNo fractional or negative power on the variableNo variables in the denominator of any fraction.

What is the range of the function y=(x+2)(x-4)

Please explain how you got it as well

Answers

Answer:

The range is between -2 and +4.

Step-by-step explanation:

To find range you just need to get X ignoring the Y.

(X+2) is X= -2

(X-4) is X = +4

Lets simplify the function into it's correct quadratic form first, just by multiplying the parenthesis.

Y = x^2 -2x -8

Now we know that the range is from the minimum y-value to the maximum (if there is one)

In functions like this, they have the form y = ax^2 + bx + c, where c is the minimum or maximum for the given function

In this case, it's a minimum because there aren't any y points on the graph smaller than -8

That means the range is: y >= -8

Which of the following terms describes the measure indicated by the black
arrow below?
A. Range
O B. Mean
OC. Minimum
O D. Median



Plzzzz help

Answers

The answer should be range :) hoped that helps

Find the surface area of the figure using its net

Answers

84 m^2

The three rectangles are 12m wide and 6 high. Area = 72 m^2

There are two triangle ends. Area = 2 x (1/2 x 3 x 4) = 12 m^2

Total surface area of prism = 72 + 12 = 84 m^2
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