Two chords intersect within a circle to form an angle whose measure is 53 degrees. If the arcs are represented by 3x+3 and 10x-14, find the measure of the LARGER of these two arcs.

Answers

Answer 1

Answer:

76degrees

Step-by-step explanation:

Using the theorem which states that the vertex of the angle inside a circle is half the sum of the measured intercepted arcs. Hence;

Angle at the vertex = 53 degrees

Half the sum of intercepted arcs = 1/2(3x+3+10x-14)

Half the sum of intercepted arcs = 1/2(13x-11)

Equating to  the vertex to find x

1/2(13x-11) = 53

13x - 11 = 2 * 53

13x - 11 = 106

13x = 106 + 11

13x = 117

x = 117/13

x = 9

For the arc 3x + 3

= 3(9) + 3

= 27 + 3

= 30degrees

For the arc 10x - 14

= 10(9) - 14

= 90 - 14

= 76degrees

Hence the measure of the larger of the two arcs is 76degrees

Two Chords Intersect Within A Circle To Form An Angle Whose Measure Is 53 Degrees. If The Arcs Are Represented

Related Questions


Find the scale factor that was used

Answers

scale factor is 2
30/15 = 2
20/10 = 2
The scale factor is 1.5.

15/10=1.5

30/20=1.5

what does x = ?
please please help

Answers

Question

what does x = ?

please please help

5x(2x+20)= 90

10x=90-20

10x=70

x=70/10

x=7

plz give brainliest +thanks

Answer:

10°

Step-by-step explanation:

5x + 2x + 20° = 90° { Being complementary angles }

7x = 90° - 20°

7x = 70°

x = 70° / 7

x = 10°

Hope it will help :)❤

1 - (-3) 2+ (-3) - 5

Answers

Answer:

1 - (-3) X 2 + (-3) - 5 = ?

To find your answer, first group the same number if there are any. In this situation, there are two -3.

You can take your calculator if you have one and input your information.

In the end, you should get -1 as your final answer.

Step-by-step explanation:

Hope that this helps! :)

Have a great rest of your day/night!

Given that ac=22 and bc=7, find ab

Answers

Answer:

I'll look into that answer

help me pls. my teacher asks a question and we are doing ratio.
what is the smaller ratio, 32:24 or 30:22?
I do not understand how to find the smaller ratio, I have five pages of notes and she hasn't explained, am I supposed to simplify and add and see which total is smaller?

Answers

Answer:

32:24

Step-by-step explanation:

So ratios are like fractions

You can write 32:24 like [tex]\frac{32}{24}[/tex]

and 30:22 like [tex]\frac{30}{22}[/tex]

Like fractions you can simplify them, you want to get the denominator or the bottom numbers the same so you can compare the top number.

[tex]\frac{32}{24}[/tex]     [tex]\frac{30}{22}[/tex]     One way to make the denominator the same is to do 24x22=528

then do 32x22=704          then 30x24=720

Then that gives you [tex]\frac{704}{528} \frac{720}{528}[/tex]    Here you can see that 704 is smaller then 720

and since 704 is the same as 32:24

32:24 is the smaller ratio

Which expressions are equivalent to the one below? Check all that apply.
log 2 - log 6
A. log 3
B. log(2) + log
log(3)
C. log(3)
D. log 2

Answers

Answer:

c

Step-by-step explanation:

log2-log 6=log(2/6)=log (1/3)

log(2) + log(1/6)

log(1/3)

Solve for the number problem 11

Answers

Answer:

1,000

Step-by-step explanation:

10x10x10 = 1,000

this lock has 1,000 possible combinations

How do you leave an answer in terms of pi?

Answers

In terms of pi means to include pi in your answer. In other words, don't use 3.14 or 22/7 for pi.

if possible, verify sin^2(x)/1 + cos(x) = 1 - cos(x) by rewriting the left hand side of the equation.

I really really don't understand identities, and I'm not getting replies from my teacher. Thank you for any help I do get!!​

Answers

sin^2(x)/1 + cos(x) = 1 - cos(x)

We know that sin^2 x = 1 - cos^2 x. It is one of our trig identities.

We now have this:

(1 - cos^2 x)/(1 + cos x) = 1 - cos x

Take note:

1 - cos^2 x is a perfect square difference in terms of cosine.

So, (1 - cos^2 x) = (1 + cos x)(1 - cos x).

We now have this:

[(1 + cos x)(1 - cos x)]/(1 + cos x) = 1 - cos x

Do you see what happens on theft side?

On the left side, (1 + cos x) cancels out on the top and bottom.

We are now left with this:

1 - cos x = 1 - cos x

Done!!

Marking brainliest.

Answers

Answer:

B. 173.25 cm^2

Step-by-step explanation:

just multiply them all.

HELP!!! ANYONE!! ASAP!!!

Answers

Answer:

A

Step-by-step explanation:

I'm not going to give an explanation but for next time, the stem is the tens place and the leaf is the ones place.

a car travels the first 15 km of the journey at an average speed 60km/h and the remaining 40 km at an average speed of 30 km/h find the average speed of the whole journey

Answers

Answer:

the average speed of the whole journey is 45 km/h

Step-by-step explanation:

The computation of the average speed of the whole journey is shown below:

Average speed is

= (Speed 1 + speed 2) ÷ 2

= (60 km/h + 30 km/h) ÷ 2

= 90 km/h ÷ 2

= 45 km/h

Hence, the average speed of the whole journey is 45 km/h

We simply ignored the distance as it is not relevant for the given situation

The same would be considered

a rectangular garden has a perimeter of 100 meters. the length is four times it’s width. find the dimensions of the garden.

Answers

Answer:

Step-by-step explanation:

p = 100

l = 4w

l = 80

w = 20

80 = 20*4

Unit 7: Polygons & Quadrilaterals
Homework 3: Rectangles
a 2-page document! **

Answers

Answer:

VW = 31

WX = 19

YW = [tex]\sqrt{1322}[/tex]

ZX = ([tex]\sqrt{1322}[/tex]) / 2

VX = [tex]\sqrt{1322}[/tex]

Step-by-step explanation:

[tex]YW^{2}[/tex] = [tex]19^{2}[/tex] + [tex]31^{2}[/tex]

[tex]19^{2}[/tex] + [tex]31^{2}[/tex] = 1322

ZX = YW/2 = VX/2

 Measures of the different sides of the rectangle will be,

YX = 31 units

WX = 19 units

VW = 36.36 units

ZX = 18.18 units

VX = 36.36 units

Quadrilateral VWXY is a rectangle.

Properties of a rectangle,

Opposite sides of a rectangle are equal.Diagonals of a rectangle bisect each other.Diagonals are equal in measure.

YX = VW = 31 units

VY = WX = 19 units

By applying Pythagoras Theorem in right triangle ΔWXY,

(Hypotenuse)² = (Leg 1)² + (Leg 2)²

(WY)² = (WX)² + (XY)²

YW = [tex]\sqrt{19^2+31^2}[/tex]

      = [tex]\sqrt{1322}[/tex]

      = 36.36 units

ZX = [tex]\frac{1}{2}(YW)[/tex]

     = [tex]\frac{1}{2}(36.36)[/tex]

     = 18.18 units

VX = YW = 36.36 units

Learn more,

https://brainly.com/question/9655204

What are the coordinates of the point (-1, 5) when it is reflected across the y-axis? *

Answers

Answer:

1,5

Step-by-step explanation:

when reflecting across y-axis it'll be in the same order, but using whatever form that quarter of the coordinate plane is in (e.g. 5,7 ----> -5,7)

Please help me in this. ASAP!

Answers

Answer:

Thermal energy -- sand on beach feels warm to touch

Gravitational potential energy -- a piece of fruit hanging from a tree

Electric energy -- Lightning produced during a storm

Kinetic energy --  A box moving along a conveyer belt

Radiant energy -- Radio waves transmitted from a tower

Step-by-step explanation:

PLZ mark me as brainliest

A teepee is in the shape of a cone. The teepee is 12.5 feet high, 16 feet wide. Find the volume of air that occupies the teepee, assuming it is empty.


Answers

Answer:

837.8 ft²

Step-by-step explanation:

The formula for the volume of a cone of base radius r and height h is

V = (1/3)(base area)(height), which here is:

V = (1/3)(π·8² ft²)(12.5 ft), or

V  =  (π/3)(64 ft²)(12.5 ft) = 837.8 ft²

What is the mean? If the answer is a decimal, round it to the nearest tenth.
-4 ,4 ,6 ,-7 ,7, 10, 7,9

Answers

Answer:

The mean is 4 if im correct.

Answer:

4

Step-by-step explanation:

-4+4+6+-7+7+10+7+9=32

32/8=4

Eleanor must earn at least 70 points for her book report project. So far on the rubric she has 54 points. Write and solve an inequality to show how many points Madeline needs.

Answers

Answer:

[tex]x + 54\ge 70[/tex]

[tex]x \ge 16[/tex]

Step-by-step explanation:

Given

[tex]Total = 70[/tex] (at least)

[tex]Accumulated = 54[/tex]

Required

Express as an inequality

In inequalities, at least means [tex]\ge[/tex]

So, the expression is:

[tex]x + Accumulated \ge Total[/tex]

Where x represents the additional points

[tex]x + 54\ge 70[/tex]

Solve for x

[tex]x \ge 70 - 54[/tex]

[tex]x \ge 16[/tex]

Hence, she needs at least 16 points

What is the factored form of the expression x^2 - 16?

Answers

Answer:

(x + 4)(x - 4)

Step-by-step explanation:

Answer:

( − 4 ) ( + 4 )

Step-by-step explanation:

x^2 - 16

x^2 + 4x - 4x = 16

x^2 + 4x - 4x - 16

( + 4 ) − 4 ( + 4 )

( − 4 ) ( + 4 )

Please mark as brainliest  

Have a great day, be safe and healthy  

Thank u  

XD

Distributive property and Combine like terms

Answers

Answer:

k = 55

Step-by-step explanation:

First clear the fraction by multiplying all three terms by 5.  We get:

k - 10 = 45

Adding 10 to both sides results in

k = 55          (after having combined like terms)

A rectangle has a perimeter of 10 meters.
Choose all the possible dimensions of the rectangle.
D A
1 meter by 4 meters
B.
1 meter by 9 meters
C. 2 meters by 3 meters
OD. 3 meters by 2 meters
O E. 4 meters by 1 meter
OF. 5 meters by 5 meters
G. 9 meters by 1 meter

Answers

Answer:

DA

C

OD

OE

Step-by-step explanation:

Answer:

DA

1 meter by 4 meters

Step-by-step explanation:

To find the perimeter of a rectangle, you add up all four sides.

if a rectangles dimensions are 1 by 4, you would add 4 + 4 + 1 + 1 = 10

Hope this helps

suppose I have a 30, 60, 90 right triangle. The hypotenuse is 10 units long. How long are the other sides?

a) short leg = 5; long leg = 5 √2

b) short and long leg = 5 √2

c) short leg = 5; long leg = 5 √3

d) short leg = 5; long leg =8

Answers

Answer:

option c

Step-by-step explanation:

The angles are 30° , 60° , 90° . So its a right angled triangle . We can use trigo.

⇒ sin 30 = p/h

⇒ 1/2 = p/10

⇒ p = 10/2

p = 5

Using Cosine now ,

⇒ cos 30° = b/h

⇒ √3/2 = b/10

⇒ b = √3/2 × 10

b = 53

Short leg = 5Long leg = 53 Hence option C is correct.

Answer:

c) short leg = 5; long leg = 5 √3

Step-by-step explanation:

How long are the other sides?

short leg = 5; long leg = 5 √3

At sunrise the temperature was -12 C. By sunset the temperature had increased 5 degrees. What is the temperature at sunset? *At sunset the temperature was 19 C. By sunrise the temperature had decreased 4 degrees. What is the temperature at sunrise?

Answers

Answer:

-17°C at sunset

15°C at sunrise

A grocery store sells an 8 ounce bottle of juice for $1.76 what is the cost of the juice per ounce? Show your work

Answers

Answer:

22 cents

Step-by-step explanation:

8 ounces coat $1.76

So,

1 ounce costs $1.76 divided by 8 = $ 0.22 = 22cents

Hope this helps

If a grocery store sells an 8 ounce bottle of juice for $1.76. The cost of the juice per ounce is: $0.22.

Cost of juice per ounce

Using this formula

Cost of juice per ounce=Cost of juice/Ounce bottle of juice

Where:

Cost of juice=$1.76

Ounce bottle of juice=8 ounce

Let plug in the formula

Cost of juice per ounce=$1.76/8

Cost of juice per ounce=$0.22 per ounce

Inconclusion the cost of the juice per ounce is: $0.22.

Learn more about Cost of juice per ounce here:https://brainly.com/question/1564020

*PLEASE HELP*
The table to the right shows the results of a survey taken
of what students wanted to have as their first car.
The options were sedan (4-door car), truck, SUV, coupe (2-door car), or other.

What are the odds that a student chose either a truck or an SUV?

A). 35/112
B) 29/56
C) 23/112
D) 31/56

Answers

Answer:

So we have either a truck or a SUV

so we need the probability of both

35+23/Total

so 35/112

What is the Mode? 21,28.27.26.27.27.33.28.26.31​

Answers

Answer:

The mode is 27.

Step-by-step explanation:

To find the mode we must first put them in order from least to greatest.

21, 26, 26, 27, 27, 27, 28, 28, 31, 33

The mode means the most common number out of the data.  Therefore since 27 is the most common number, it is the mode.

Hey there!

The mode is basically the number you see MORE THAN ONCE.

So, the numbers in your data plot is/are

“21, 28, 27, 26, 27, 27, 33, 28, 26, 31”

(I’m assuming)

21 is shown ONE TIME

28 is shown TWO TIMES

27 is shown THREE TIMES

26 is shown TWO TIMES

33 is shown ONE TIME

31 is shown ONE TIME

THE BIGGEST ONE THAT’S SHOWN IS: 27 because it was shown in your data plot three times

Answer: 27

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Central and inscribed angle practice

Answers

Answer:

sorry

Step-by-step explanation:

I don't know what you want , do you want to know how to construct an inscribed angle or what

HURRY 50 POINTS
Which is the correct classification and decimal expansion of StartFraction 5 Over 8 EndFraction?
irrational number, 0.6ModifyingAbove 25 with bar
irrational number, 0.625
rational number, 0.625
rational number, 0.6ModifyingAbove 25 with bar

Answers

Answer:

the correct classification and decimal expansion of StartFraction 5 Over 8 EndFraction

=5/8=0.625[irrational number]

Answer:

The correct answer is (b) i believe

Step-by-step explanation:

   Have a great day!

Which expression is equivalent to 1 4 ( 3 x + 4 y ) + 3 ( 1 4 x + 2 3 y ) ? 3 2 x + 3 y 3 halves x plus 3 y 3 2 x + 2 y 3 halves x plus 2 y 3 4 x 2 + 3 y 3 fourths x squared plus 3 y 3 4 x 2 + 2 y

Answers

Answer:

3x/2 + 3y

Step-by-step explanation:

Given the expression 1/4 ( 3x + 4y ) + 3 ( 1/4 x + 2/3 y)

Open the parentheses

= 1/4(3x) + 1/4(4y) + 3(1/4x) +3(2/3y)

= 3/4 x + y + 3/4 x +2y

Collect like terms

3/4 x +3/4 x +y+2y

6/4 x + 3y

3x/2 + 3y

Hence the correct expression is 3x/2 + 3y

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