Questions (a,b), 1 (a,b)

Questions (a,b), 1 (a,b)

Answers

Answer 1

a )

First of all we need to find the value of x ,

because the angles are written in terms of the variable x .

______________________________________

Let's find the value of x :

STV angle & SUV angle have same measure because both of them are the front angle of SV arc .

[tex]STV angle \: = SUV angle \: \: = \frac{SV \: arc}{2} \\ [/tex]

So :

[tex]3x - 5 = 2x + 15[/tex]

Add sides 5

[tex]3x - 5 + 5 = 2x + 15 + 5[/tex]

[tex]3x = 2x + 20[/tex]

Subtract sides minus 2x

[tex]3x - 2x = 2x + 20 - 2x[/tex]

Collect like terms

[tex]x = 2x - 2x + 20[/tex]

[tex]x = 20[/tex]

Thus the measure of angle T equals :

[tex]measure \: of \: angle \: T = 3x - 5 \\ [/tex]

Now just need to put the value of x which we found :

[tex]measure \: of \: angle \: T \: = 3 \times (20) - 5 \\ [/tex]

[tex]measure \: of \: angle \: T \: = 60 - 5[/tex]

[tex]measure \: of \: angle \: T \: = 55°[/tex]

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b )

angle S & angle V are also have same measure because they both are the front angles to the TU arc .

And we need to find the value of x again in this part exactly like we did for a .

[tex]angle \: \: S = angle \: \: V[/tex]

As the question told :

[tex]angle \: \: S = 3x[/tex]

and ,

[tex]angle \: \: V = x + 16[/tex]

Thus :

[tex]3x = x + 16[/tex]

Subtract sides minus x

[tex]3x - x = x + 16 - x[/tex]

Collect like terms

[tex]2x = x - x + 16[/tex]

[tex]2x = 16[/tex]

Divide sides by 2

[tex] \frac{2x}{2} = \frac{16}{2} \\ [/tex]

Simplification

[tex]x = 8[/tex]

So ;

[tex]measure \: \: of \: \: angle \: \: S = 3x[/tex]

[tex]measure \: \: of \: \: angle \: \: S = 3(8)[/tex]

[tex]measure \: \: of \: \: angle \: \: S = 24°[/tex]

And we're done.


Related Questions

4th grade math lolll

Answers

Answer:

2/5x7

Step-by-step explanation:

Hey! The answer is 14/5.

There is 7 days in one week, so 7•2/5=14/5

Can I get Brainliest please?

Solve the equation.
[tex] {3}^{4(m + 1)} + {3}^{4m} - 246 = 0 \\ [/tex]

Answers

[tex]3^{4m+4}+3^{4m}=246\\ (3^{4}+1)*3^{4m}=246\\82*3^{4m}=246\\3^{4m}=3\\m=\frac{1}{4}[/tex]

You group them since they have the same base (3). (3^4+1)*3^4m since they have almost the similar characters (ex. 3^4(m+1) is 3^4m+4). In the brackets we get (81+1) since 3^4 is 81, then we do the sum in the brackets (81+1) is 82 multiplied by 3^4m. Then we divide both sides with /82. 82/82 is one, 256/82 is 3. Since 3^4m and 3^1 have the same bases we just use 4m=1 where we get that m is 1/4.

Help me with this please

Answers

Answer:

x = 138

Step-by-step explanation:

Exterior angle thm:

68 + 70 = x

x = 138

What type of correlation the
scatter plot shows?

Answers

Answer:

I would need to see the attached lesson to answer this question.

IF YOU TELL ME HOW YOU GOT THE ANSWER FIRST YOU WILL GET A CROWN

Answers

Answer:

C

Step-by-step explanation:

basically see where each dot is and the number its beside and the number its above answer for example the first one is in between 20 and 30 so its 25 and its above 1  so it would 1, 25 u just do that for all the dots :)

What is the equation, in slope-intercept form, of the line that contains the points (3, -4) and (5, -6)? A. y = -x - 1 B. y = -x + 1 C. y = x - 1 D. y = x + 1

Answers

Answer:

Hi! The answer to your question is A. [tex]y=-x-1[/tex]

Step-by-step explanation:

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☁Brainliest is greatly appreciated!☁

Hope this helps!!

- Brooklynn Deka

Answer:

a

Step-by-step explanation:

What ordered pair represents the y-intercept for the function y=2^x

Answers

Answer:

(0, 1)

Step-by-step explanation:

[tex]y = {2}^{x} \\ \\ plug \: x = 0 \\ \\ y = {2}^{0} \\ \\ y = 1 \\ \\ (x, \: \: y) = (0, \: \: 1)[/tex]

Find the measure of C to the nearest tenth of a degree

Answers

81.2 mostly likely will me the answer

hi please help i’ll give brainliest

Answers

Answer:

Ellipse. It is irregular at some points.

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Helpppppp! No links please, thank you!

Answers

32, 60, 68

Hope this helps

A small town is trying to establish a transportation system of large and small vans.
It can spend no more than $100,000 for purchasing both sizes of vehicles and no
more than $500 per month for maintenance. The town can purchase a small van for
$10,000 and maintain it for $100 per month. The large vans cost $20,000 each and
can be maintained for $75 per month. Each large van carries a maximum of 15
passengers and each small van carries a maximum of 7 passengers. Find the
maximum number of passengers the transportation system can handle given the
constraints. How many large and small vans will they need to maximize the
number of
passengers
it can service?

Answers

its a           .......................................Step-by-step explanation:

Someone help me with this its in the picture!!!

Answers

Answer:

JK < KI < IJ

Step-by-step explanation:

The length of the side of a rectangle corresponds with the size of the angle opposite it.

m<K = 180 - (50 + 44) (sum of triangle)

m<K = 86°

IJ is opposite m<K = 86°

JK is opposite to m<1 = 44°

KI is opposite to m<J = 50°

The bigger the measure of an angle, the larger the side opposite it.

Therefore, form least to greatest, the side lengths of the triangle cam be ordered as follows:

JK < KI < IJ

Pls help me I need some help.

Answers

Answer:

scale factor is 3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

5:15. 8:24. 9:27. they are all a ratio of 3

A hemisphere with diamater 17 cm

Answers

Answer:

not enough information

Step-by-stepexplanation:

how do u turn 3 into a fraction?

Answers

Answer:

[tex]\frac{3}{1}[/tex]

Step-by-step explanation:

Put a 1 under it.

every whole number is equal to that number over 1, so three as a fraction would be 3/1 since three divided by one is still three.
so the answer is 3/1

Mark hopes to one day earn $10,000. Estimate how
many clients Mark would need.

Answers

What is his average amount of money that he earns per day so then we can solve this problem.

A horse runs three races. The first is 2 miles, the second is 1,300 yards, and the last is 850 yards. How many yards does the horse run in all

Answers

Answer:

5670 yards

Step-by-step explanation:

Length of first race = 2 miles

Since, 1 mile = 1760 yards

Therefore, 2 miles = 1760 × 2

                               = 3520 yards

Length of second race = 1300 yards

Length of third race = 850 yards

Total distance to be run by the horse = 3520 + 1300 + 850

                                                              = 5670 yards

Please help me it’s due today

Answers

The answer should be 15 times 9 equals four

someone help, what’s 1+1?

Answers

It's 2 sir/ Maam Your Welcome

Plz help will mark brainliest if right

Answers

Answer:

Domain:{-9,-4}

Range:{-1,-8,6}

Step-by-step explanation:

I dont really understand what you're trying to ask, it seems like you already have the answer i got.

Computer world has all computer has all computers on sale for 20% off. If the regular price of a laptop is $750, what is the sale price?

Answers

Answer:

Selling price of the laptop is $600.

Step-by-step explanation:

Let the sale price of the laptop = $x

Regular price of the laptop = $750

Discount on each computer = 20%

Selling price of the laptop 'x' = 750 - (20% of 750)

                                                = 750 - [tex](\frac{20}{100}\times 750)[/tex]

                                                = 750 - 150

                                                = $600

Therefore, selling price of the laptop is $600.

A family drinks 2 gallons of milk in 3 days,
At that rate, how many gallons will the family
drink in 15 days?

Answers

Answer: This is what I have tried --

5 gallons : 3 weeks = x gallons : 52 weeks

5/3 = x/52 (cross multiply)

3x = 260 (divide by 3)

x = 86.6 or 87 gallons

Step-by-step explanation: hope this is right

Answer:

10 gallons of milk

Step-by-step explanation:

This question is a ration every three days the family drinks 2 gallons of milk (3:2) to find how much they would drink in 15 days all you would have to do is multiple both numbers by 5 to get 15:10. This represents how much milk they drink in 15 days.

What is the median of the data set? {5, 3, 4, 2, 6} Enter your answer in the box. Round to the nearest tenth.

The best answer will receive brainiest.

Answers

Answer:

4

Step-by-step explanation:

To find median, arrange the data set in ascending order. Then the middle term is the median

2 , 3 , 4 , 5 , 6

Median = 3rd term  = 4

Answer:

4 is the median

Step-by-step explanation:

From least to greatest:

2,3,4,5,6

Since the total values is odd, the middle number is the median

4 is the median

how do i get all my points and brainlest back

Answers

.....um...i think u can't do this

Answer:

u should probably contact support or the creator of this site

Step-by-step explanation:

THIS WILL HELP A LOT OF PPL PLZ HLP!!!!!!
Determine the interval where the graph of the function is negative.

ANSWER CHOICES AND GRAPH IN IMAGES

Answers

Answer:

If I'm correct I think its answer B

Step-by-step explanation:

I'm not sure but i hope this help

Answer:

second option

-∞ < x < 1

Step-by-step explanation:

help me please it's due tonight

Answers

Answer:

π

Step-by-step explanation:

S = rФ

Arc length = radius x theta

S = (3)([tex]\frac{\pi }{3}[/tex]) = [tex]\pi[/tex]

HELPPPPPPPP
What is the value of x in the triangle?

Answers

Answer:

82

Step-by-step explanation:

it's very easy the answer is 82

Answer:

65°+75°+x°=180°(sum of an angle of triangle is 180°

or, 140°+x°=180°

or, x°=180°-140°

therefore,x°=40°

Laney bought some candy from the bulk food store. She bought a 290 gram bag of gummy worms, a 450 gram bag of sour keys, and 670 gram bag of chocolate covered almonds. What is the total weight in kilograms?

Answers

Answer:

1.41 kilograms

Step-by-step explanation:

Given data

290-gram bag of gummy worms

450-gram bag of sour keys

670-gram bag of chocolate-covered almonds

In all, she bought

=290+450+670

=1410grams of candy

Now let us convert from grams to kilograms

1000grams is equal to 1 kilogram

hence 1410 grams  will be x

cross multiply

1000x= 1410

x= 1410/1000

x= 1.41 kilograms

Please help me with this questions please please ASAP ASAP please ASAP help please please ASAP please I'm begging you please please ASAP

Answers

Answer:

Question 3: 8000

Question 4: 300

Answer:

3. 8,000

4. 300

Step-by-step explanation:

3.

2/5 * 20,000 = 2 * 20,000/5 = 2 * 4,000 = 8,000

Answer: 8,000

4.

Use a proportion.

10/2 = x/60

5/1 = x/60

x = 5 * 60

x = 300

Answer: 300

which undefined geometric term is described as a location on a coordinate plane that is designated by an ordered pair?

Answers

A line is one dimensional straight indefinite path on plane that has no width. A plane is a two-dimensional flat surface that extends upto infinity. So, the undefined geometric term is described as a location on a coordinate plane that is designated by an ordered pair, (x, y) is A point.
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