Helppppp! Angles PTQ and STR are vertical angles and congruent. Circle T is shown. Line segments T P, T Q, T R, and T S are radii. Lines are drawn to connect the points on the circle and form secants P Q, Q R, R S, and S P. Angles P T Q and S T R are congruent. Which chords are congruent? QP and SR QR and PR and RS PR and PS

Helppppp! Angles PTQ And STR Are Vertical Angles And Congruent. Circle T Is Shown. Line Segments T P,

Answers

Answer 1

Answer:

[tex]\overline{QP} = \overline{SR}[/tex]

Step-by-step explanation:

Given: ∠PTQ ≅ ∠STR and TP, TQ, TR and TS are radii of the circle.

If  two angle are equal, then they are equal in size and their measurements are equal.

IF ∠PTQ ≅ ∠STR then they are also equal in their measurements.

Now, In ΔPTQ and ΔSTR

∠PTQ ≅ ∠STR  (vertically opposite angle)

[tex]\overline{TQ} \cong \overline{ST}[/tex]  (Radius of the circle are equal and congruent in length)

[tex]\overline{PT} \cong \overline{TR}[/tex]  (Radius of the circle)

∴ ΔPTQ ≅ ΔSTR (SAS postulate)

∴ [tex]\overline{QP}\cong \overline{SR}[/tex] (corresponding sides of congruent triangle are equal  and congruent).

Answer 2

You can use the fact that a closed figure made by connecting the adjacent end points of two equal and intersecting line segment is a rectangle.

Option A:  [tex]\overline{QP} \: \rm and \: \overline{SR}\\[/tex]correct choice since the line segment QP is and line segment SR are congruent.

Given that:

Angles PTQ and STR are vertical angle and congruent.Circle T(centered at T).Line segments TP, TQ, TR, and TS are radii.

How to find which lines are intersecting?

Since angle  PTQ and angle STR are congruent, thus we have:

PR and SQ as straight intersecting lines.

Due to angle PTS and angle QTR are opposite angles made by intersecting lines, we have them as congruent or say of equal measurement.

[tex]\angle PTS \cong \angle QTR[/tex]

Since [tex]\overline{TP} = \overline{TQ} = \overline{TR} = \overline{TS}[/tex], thus we have got:

[tex]\overline{PR} = \overline{SQ}[/tex] in measurement ( as PR is sum of PT and TR and same for SQ)

How is a rectangle made?

"A closed figure made by connecting the adjacent end points of two equal and intersecting line segment is a rectangle", we have PQRS as a rectangle.

As a rectangle have opposite sides parallel and equal, we have got:

[tex]\overline{PQ} \cong \overline{SR}[/tex]

Thus, Option A: [tex]\overline{QP} \: \rm and \: \overline{SR}\\[/tex] is the correct choice since the line segment QP is and line segment SR are congruent.

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Related Questions

Based on the graph, what was the average speed, in miles per minute, of the train during the interval of 30 to 40 minutes?

Answers

Answer: 35 miles

Step-by-step explanation:

Answer:

Step-by-step explanation:

60

Solve the equation for x.

6(4x − 10) = 84
A) 2
B) 3
C) 4
D) 6

Answers

Hey!

----------------------------------------

Solution:

6(4x - 10) = 84

24x - 60 = 84

24x + (-60) = 84

24x + (-60) + 60 = 84 + 60

24x = 144

24x/24 = 144/24

x = 6

----------------------------------------

Answer:

x = 6

----------------------------------------

Hope This Helped! Good Luck!

The solution of expression is,

⇒ x = 6

We have to given that;

Expression is,

⇒ 6(4x − 10) = 84

Now, We can simplify as;

6(4x - 10) = 84

24x - 60 = 84

24x + (-60) = 84

24x - 60 + 60 = 84 + 60

24x = 144

24x/24 = 144/24

x = 6

Therefore, Solution is,

⇒ x = 6

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Help please D: If you answer I will give you brainliest

Answers

Step-by-step explanation:

Write the population of florida in expanded form using exponents

floride population = 18,801,310

Expanded form ;

1x10^{7} + 8x10^{6} + 8x10^{5} + 0x10^{4} + 1x10^{3} + 3x10^{2} + 1x10^{1} + 0x10^{0}      

What is the area of a rectangle with a base of 12 mm and a height of 1.4 mm? A. 13.4mm2 B. 16.8 mm2, C. 134 mm2, 168 mm 2

Answers

Answer:

D. 168 mm²

Step-by-step explanation:

The formula of an area of a rectangle:

[tex]A=l\cdot w[/tex]

l - length (base)

w - width (height)

We have l = 12mm, h = 14mm.

Substitute:

[tex]A=(12)(14)=168\ (mm^2)[/tex]

(please answer fast)
can someone write and solve a word problem, while using two key word's for either addition, subtraction, multiplication, or division? thank you. ​

Answers

Answer:

subtraction= Mike is selling 50 apples. Kenny is selling 30 apples,"how many more" apples does mike have than ken?

50- 30 = 20

mike has 20 "more" apples than ken.

there are 15 kindergarteners, "but only" 10 chairs, "how many" chairs would the teachers have to "take away" from the room next door?

15- 10=5

What is the inverse of the function below?
F(x)=3^x


A.


B.


C.


D.

Answers

Answer:

[tex]Log_{(3)}X[/tex]

Step-by-step explanation:

[tex]f(x)=3^{X}[/tex]

[tex]y=3^{X}[/tex]

exchange the variables x and y

[tex]X=3^{y}[/tex]

[tex]Log_{(3)}X=Log_{(3)}3^{y}[/tex]

[tex]Log_{(3)}X=y[/tex]

[tex]f^{-1}(x)=Log_{(3)}X[/tex]

10. The values of x and y vary directly, and
when x = 48, y = 36. Find the value of x when
y = 18.

Answers

Answer:the answer is 24

Step-by-step explanation:

Because when 18 is the half of 36 so 24 is the half of 48

Final answer:

Given x and y vary directly with constant ratio 1.33, the value of x when y equals 18 is 23.94.

Explanation:

The subject question deals with direct variation, a concept in Mathematics. When two variables vary directly, a change in one variable results in a proportionate change in the other variable. If x and y vary directly, it means the ratio of x to y is constant.

From the problem, x = 48 when y = 36. Therefore, the ratio of x to y is 48/36 = 1.33.

To find the value of x when y = 18, simply multiply the constant ratio (1.33) by the new value of y.

So, x = 1.33 * 18 = 23.94

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Umar has 5 dimes in his right pocket and three dimes in his left pocket how much money does Omar have? What is the hidden question?

Answers

Answer:

he has 80 cents

Step-by-step explanation:

dime=10 cents

I'm guessing that the hidden question is how many dimes does Omar have? because this is the first thing I asked myself when solving this equation.

So how many dimes does Omar have?

5 + 3 = 8

Now we know that one dime = 10 cents, so to find the amount of money in cents, all we need to do is multiply 8 * 10

8 * 10 = 80

Omar has 80 cents

In 35 ÷ 7 = 5, what is the 35 called?

Answers

Answer: The dividend

Step-by-step explanation:

Answer: in that equation the 35 is called the dividend.

Step-by-step explanation: the 7 is the divisor and the 5 is the quotient

6x4=8xN
how do i solve this equation

Answers

Answer:

n = 3

Step-by-step explanation:

find multiples of the product of 24 that comes from 6*4

NS SECTION ONE
In the number 416.98, which digit has the greatest value ​

Answers

the 4 because it's in the hundred place value

I THINK THAT"S HOW YOU DO IT, BUT YOU KNOW JUST TRYING TO HELP YOU :)

The manager at a pizza restaurant keeps track of the number of large pizzas and small pizzas sold each day and the total money received. On Monday, a total of 63 pizzas were sold, and the money collected was $989. If large pizzas are sold for $18 and small pizzas are sold for $13, how many large pizzas and small pizzas were sold?

Answers

34x18 = 612

29x13=377

377+612 = 989

34 large 29 small

The number of large pizza is 34 and the number of small pizza is 29.

How to find the number of small and large pizza in the problem given ?

It is given that a total of 63 pizzas were sold.

Also,  the money collected was $989.

Moreover, large pizzas are sold for $18 and small pizzas are sold for $13.

Let the number of large pizzas be x and the number of smaller pizzas be y.

From the problem statement , x + y = 63.

The total cost for large pizza is $18x and the total cost for small pizza is $13y . Now this sum is the total money collected.

∴ 18x + 13y = 989.

We have two equations ,

x + y = 63 and 18x + 13y = 989.

Substituting the value of x from first and putting it to second,

⇒ 1134 - 18y + 13y = 989.

⇒ -5y = -145

∴   y = 29 .

Putting value of y in the first equation, we have x = 34.

Therefore the number of large pizza is 34 and the number of small pizza is 29.

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What numbers can you times to make24

Answers

Answer:

6 and 4

2 and 12

1 and 24

3 and 8

Step-by-step explanation:

Answer:

1, 2, 3, 4, 6, 8, 12, 24.

Step-by-step explanation:

The question is basically saying "what are the factors of 24?"

hi i need help plz it is 7/3 add 1/3. plz plz help​

Answers

Answer: 8/3

Step-by-step explanation: To add like fractions, or fractions that have the same denominator, simply add the numerators and keep the original denominator.

7 + 1 = 88/3 is the answer.

Help please !!!!!!!!!!!!!!!!

Answers

Answer:

(12,10)

Step-by-step explanation:

(12,10) if i am correct

Look at this diagram:
Which diagram shows AABC rotated 120° counterclockwise about B?

Answers

Answer:

second one diagram rotated 120

Final answer:

In a 120° counterclockwise rotation about point B, diagram AABC would shift each point along a circular path 120° in a counterclockwise direction around point B. The positions of points A and C would change, while point B would stay as it is. The correct diagram would reflect these changes.

Explanation:

Without a specific diagram to refer to, I can provide only a general explanation of how to determine the diagram that represents AABC rotated 120° counterclockwise about point B.

Rotations in a plane are performed counterclockwise with a positive degree measure. So, a 120° counterclockwise rotation about a fixed point B would take every point on triangle AABC and shift it along a circular path 120° in a counterclockwise direction around point B. The result would be a new triangle A'B'C'. If point B is the origin of rotation, it would remain unchanged. However, points A and C would change their positions after the rotation.

To determine the correct diagram, you would look for a triangle that has been shifted around point B in a counterclockwise direction with positions of points A and C reflecting a 120° rotation.

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What is the equation of the line that is parallel to the line 5x + 2y = 12 and passes through the point (−2, 4)? y = – Five-halvesx – 1 y = – Five-halvesx + 5 y = Two-fifthsx – 1 y = Two-fifthsx + 5

Answers

Answer:

[tex]y= \frac{-5}{2}x-1[/tex]

Step-by-step explanation:

the line equation is  5x + 2y = 12

Solve for y to find out slope m

y=mx+b

[tex]5x + 2y = 12[/tex]

Subtract 5x from both sides

[tex]2y =-5x+12[/tex]

Divide both sides by 2

[tex]y=\frac{-5}{2} x+6[/tex]

slope = -5/2

Slope of parallel lines are same . So slope of parallel line is [tex]\frac{-5}{2}[/tex]

m=-5/2 , point (-2,4)

[tex]y-y_1= m(x-x_1)[/tex]

[tex]y-4= \frac{-5}{2}(x+2)[/tex]

[tex]y-4= \frac{-5}{2}x-5[/tex]

Add 4 on both sides

[tex]y= \frac{-5}{2}x-1[/tex]

Answer:

Answer is A

Step-by-step explanation:

Trust the process

A classmate plotted the following points:
A(-3, 2), B(-1, 4), and C(1, 2).
Where should the classmate plot point
D so that the quadrilateral formed has
perpendicular sides?

Answers

Answer:

D(-1,0)

Step-by-step explanation:

Plot points A(-3, 2), B(-1, 4), and C(1, 2) on the coordinate plane (see attached diagram).

Two sides AB and BC are of equal length and are perpendicular, because

[tex]AB=\sqrt{(-3-(-1))^2+(2-4)^2}=\sart{(-2)^2+(-2)^2}=\sqrt{4+4}=2\sqrt{2}\ units\\ \\BC=\sqrt{(-1-1)^2+(4-2)^2}=\sart{(-2)^2+2^2}=\sqrt{4+4}=2\sqrt{2}\ units\\ \\\text{Slope AB}=\dfrac{4-2}{-1-(-3)}=\dfrac{2}{2}=1\\ \\\text{Slope BC}=\dfrac{2-4}{1-(-1)}=\dfrac{-2}{2}=-1\\ \\\text{Slope AB}\cdot \text{Slope BC}=1\cdot (-1)=-1\Rightarrow \text{lines AB and BC are perpendicular}[/tex]

If the quadrilateral ABCD has all sides perpendicular, then ABCD is a square. The diagonals of the square bisects each other. Find the coordinates of the point of intersection of these diagonals. This is the midpoint of segment AC:

[tex]x=\dfrac{-3+1}{2}=-1\\ \\y=\dfrac{2+2}{2}=2[/tex]

If point O(-1,2) is the point of intersection of diagonals, then it is the midpoint of the diagonal BD. Find coordinates of point D:

[tex]x_O=\dfrac{x_B+x_D}{2}\Rightarrow -1=\dfrac{-1+x_D}{2},\ -1+x_D=-2,\ x_D=-1\\ \\y_O=\dfrac{y_B+y_D}{2}\Rightarrow 2=\dfrac{4+y_D}{2}, 4+y_D=4,\ y_D=0[/tex]

Thus, D(-1,0)

A 21-foot rope is cut into 2 pieces. Seven less than three times the length of the longer rope piece x is five times the length of the shorter piece, which is (21 − x) ft. Find the length of the longer rope piece x In ft

Answers

Answer:

The length of the longer rope piece is 14 ft

Step-by-step explanation:

Let

x -----> the longer piece

y ----> the shorter piece

we know that

The sum of the longer piece plus the shorter piece must be equal to the length of the original piece

x+y=21

y=(21-x) -----> equation A

3x-7=5y ----> equation B

substitute equation A in equation B and solve for x

[tex]3x-7=5(21-x)\\3x-7=105-5x\\5x+3x=105+7\\8x=112\\x=14\ ft[/tex]

therefore

The length of the longer rope piece is 14 ft

How many 2/3-cup servings are in 6 cups of cereal?

Answers

Answer: 9

Step-by-step explanation:

6 divided by 2/3 = 9

Final answer:

In 6 cups of cereal, there are 9 servings of 2/3 cup.

Explanation:

To find out how many 2/3-cup servings are in 6 cups of cereal, we need to divide the total cups of cereal by the size of each serving. In this case, we divide 6 by 2/3. To divide a whole number by a fraction, we can multiply the whole number by the reciprocal of the fraction. The reciprocal of 2/3 is 3/2, so we have 6×3/2 = 9 cups in total. Therefore, there are 9 servings of 2/3 cup in 6 cups of cereal.

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Please help! Solving polynomial equations with factoring *algebra*

Answers

I think this is how you do it

Solving an Equation with Absolute value |x-3|=5 . Equation 1:

Answers

Answer:8

Step-by-step explanation: add 3 on both sides to cancel it from the left, and then x=8.

find the product 3(x + 4 )( x - 5)​

Answers

Answer:

[tex]3x^2-3x-60[/tex]

Step-by-step explanation:

Given: [tex]3(x+4)(x-5)[/tex]

Let's use the distributive property to multiply [tex](x+4)(x-5)[/tex] together since they are right next to each other. We can use the FOIL method.

[tex](x+4)(x-5)\\x^2-5x+4x-20\\x^2-x-20[/tex]

Now that we simplified that, we still have to multiply everything by the value of [tex]3.[/tex]

[tex]3(x^2-x-20)\\3x^2-3x-60[/tex]

Now, you could have left the answer as [tex]3(x^2-x-20)[/tex] since it is factored, but the problem wants us to find the product, so we need to completely simplify.

3x + 3x4 ( x - 5 )
= 3x + 12 ( x - 5 )
= 3x^2 - 15x + 12x - 60
= 3x^2 - 3x - 60

If a number is not a whole number then it is not a natural number

Answers

Answer:

false

Step-by-step explanation:

a natural number is a number you count by, you wouldn't cound by decimals or fractions

What is the value of (g o f)(-6)

F(x)=2x+7; g(x)=3x+12

Answers

Answer:

(g o f)(-6) = -3

Step-by-step explanation:

f(x)=2x+7; g(x)=3x+12

(g o f)(-6) = g(f(-6))

but f(-5) = 2(-6)+7 = -5

(g o f)(-6) = g(f(-6))  = g(-5) = 3(-5)+12 = - 3

Compare the expressions using <, >, or =. Show all your work.
(18 – 3) ÷ (6 - 1) _____ 4 • (10 – 3) – 4 • 2

Answers

Answer:

The answer would be <

Step-by-step explanation:

(18-3)÷(6-1)

18-3=15

6-1=5

15÷5=3

________

4×(10-3)-4×2

10-3=7

4×7-4×2

28-8=20

Left hand side:-
( 18 - 3 ) / ( 6 - 1 ) = 15/5 = 3
Right hand side:-
4•( 10 - 3 ) - 4 • 2 = 40 - 12 - 8 = 20


So
3 ___ 20
3 < 20
3 less than 20
( 18-3) / (6-1) less than 4•(10-3)-4•2
( 18-3) / (6-1) < 4•(10-3)-4•2

Thirty-six is at least one half of a number.

Answers

The answer is 36>x/2

Ayodele received a raise in her hourly pay, from $24.50 to $25.48. Find the percent change.

Answers

Answer:

4%

Step-by-step explanation:

The raise in her hourly pay is

$25.48-$24.50 =$0.98

Cross multiplying (rule of three)

24.50------100%

0.98--------x%

and so, x= 0.98*100/24.5 = 4%

Answer:  The required percent change is 4%.

Step-by-step explanation:  Given that Ayodele received a raise in her hourly pay, from $24.50 to $25.48.

We are to find the percent change.

The percent change is given by

[tex]p=\dfrac{\textup{increse in the amount}}{\textup{original amount}}\times100\%.[/tex]

In the given situation, we have

[tex]\textup{increase in the amount}=\$(25.48-24.50)=\$0.98.[/tex]

Therefore, the percent change is given by

[tex]p=\dfrac{0.98}{24.50}\times100\%=\dfrac{98}{24.50}\%=4\%.[/tex]

Thus, the required percent change is 4%.

hugo made 100 ounces of lemonade.How many 8 ounce glasses can he fill completely with this amount of lemonade

Answers

Answer:

12

Step-by-step explanation:

divide 100 by 8

f (x) = (2x – 5) ^2 then evaluate f (-4)

Answers

First you substitue -4 into the function and you get f(-4)

Hello ;w;

-------------------------------------------------------------------

f=

x=(2x - 5)^2

f=

-4 = -4

I believe your answer is -4, sorry if I'm wrong, have a great day.❤

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