In the given figure, what is the value of x?
32 in
X
16 in
х
0
The value of x is lin.
(Round to the nearest tenth as needed.)

Answers

Answer 1

x+∠QSR+∠UST=180x+∠QSR+∠UST=180 (straight line =180) and ∠R+∠T=90∠R+∠T=90 (as PRT is a right angle)

(1) The length of line segment QR is equal to the length of line segment RS --> triangle QRS is isosceles --> ∠RQS=∠QSR=180−∠R2∠RQS=∠QSR=180−∠R2 (as ∠RQS+∠QSR+∠R=180∠RQS+∠QSR+∠R=180 --> 2∗∠QSR+∠R=1802∗∠QSR+∠R=180 --> ∠QSR=180−∠R2∠QSR=180−∠R2). Not sufficient.

(2) The length of line segment ST is equal to the length of line segment TU --> triangle UST is isosceles --> ∠SUT=∠UST=180−∠T2∠SUT=∠UST=180−∠T2. Not sufficient.

(1)+(2) x+∠QSR+∠UST=180x+∠QSR+∠UST=180 --> x+180−∠R2+180−∠T2=180x+180−∠R2+180−∠T2=180 --> x+360−(∠R+∠T)2=180x+360−(∠R+∠T)2=180 --> since ∠R+∠T=90∠R+∠T=90 --> x+360−902=180x+360−902=180 --> x=45x=45. Sufficient.


Related Questions

Over time, the number of organisms in a population increases exponentially. The table below shows the approximate
number of organisms after y years.
y years
1
2
3
4
number of organisms, n
55
60
67
75
The environment in which the organism lives can support at most 600 organisms. Assuming the trend continues, after
how many years will the environment no longer be able to support the population?

Answers

Answer:

B

Step-by-step explanation:

I got it right in ed2022

Answer:

Correct, answer is indeed 24.

Step-by-step explanation:

took the quiz

A number (a) rounded to the nearest 10 is 240. Another number (b) rounded to the nearest 100 is 300. a and b are whole numbers. What is the greatest difference between a and b?

Answers

Answer:

64

Step-by-step explanation:

a = 235

b = 299

d (difference) = b - a

d = 299 - 235

d = 64

Why can you not do negative numbers to the power of 1. 5?.

Answers

Answer:

Lets say we have (-1)^(1.5)

Step-by-step explanation:

(-1)^(1.5) = (-1)^(3/2)

= (√(-1))^3 which has no solution in the real number field, as √(-1) does not exist.

In the complex number field √(-1) = i, and (-1)^(1.5) = i^3 = -i.

in Indiana the sales tax rate is 7% of the total cost. what is the amount of sales tax on a purchase of 47$

Answers

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{7\% of 47}}{\left( \cfrac{7}{100} \right)47}\implies 3.29[/tex]

ILL GIVE BRAINLIEST

Assume:

+There are 365 days a year

+No spoilage issues

+Pi= 3.14

Answers

Answer: Assume π = 3.14(rounded upto two decimal point)

Case I. 1 year = 365 days

2 years = 730 days

3 years = 1095 days

And .14 years = 51 days 2 hours 24 minutes

So, 3.14 years = 1146 days 2 hours 24 minuts.

Now, suppose you born in a leap-year.

Case II. 1 year = 366 days

2 years = 732 days

3 years = 1098 days

and .14 years = 51 days 5 hours 45 minutes 36 seconds

Then, 3.14 years = 1149 days 5 hours 45 minuts 36 seconds

So, yes, it is possible to be exactly π years old. At exactly 1146 days 2 hours 24 minutes or 1149 days 5 hours 45 minutes 36 seconds (in case of a leap-year born), we could have celebrate at our π years birthday.

Step-by-step explanation:

help asap this question is from timeforlearing i will give 100 points and brainly

Answers

Answer:

[tex]\sf 4[/tex]

Explanation:

[tex]\sf \frac{1}{4} (15+h)-g[/tex]

[tex]\sf given: h = 5 , \ g = 1[/tex]

solve:

[tex]\sf \frac{1}{4} (15+5)-1[/tex]

[tex]\sf \frac{1}{4} (20)-1[/tex]

[tex]\sf 5-1[/tex]

[tex]\sf 4[/tex]

Solve , 6x + 5 = 2y



(Hint : Use ax + by + c = 0 )

Answers

Answer:

soln;

given equation is 6x + 5 = 2y

or, 6x -2y + 5 = 0

comparing with ax + by + c = 0

a = 6, b = -2, c = 5

7. Matthew drove 350 miles on 10 gallons of gasoline. How many miles per gallon does
his car get?

Answers

Answer:

35

Step-by-step explanation:

350miles/10=10gallons/10

=35miles=1gallon

identify the triangle please hurry

Answers

First off, no sides have the same length as the others, so it cannot be an equilateral or an isoceles triangle, as it would required at least 2 sides to have the same length.

So, we're left with scalene triangle options.

There is an angle that is an obtuse angle (as it is more than 90 degrees and less than 180 degrees), so this is a scalene obtuse triangle.

Need help please answer

Answers

I’m pretty positive x is 74 and I hope this helps you

Sal’s pizza shop can make 7 pizzas in 15 minutes. At this rate, how many pizzas can they make in 4 hours?

Answers

Answer:

112 pizzas

Step-by-step explanation:

There are 60 minutes in an hour, means that Sal's pizza shop can make 28 pizzas an hour. Multiply this by 4 to get 112

Answer:112

Step-by-step explanation: I got you Breh

You see first you divide 4 hours by 15 minutes and you get 16 minutes.

To confirm that you can do 16 x 15 and it would be 240, and 4 hours is 240 miniutes.

Now you multiply 16 by 7 and you get 112


Hope this helps

Pls I will give brainiest if you answer within
10 minutes


What is the positive solution to the equation 5x2+2=47

Answers

Answer:

X=3, or X=-3   But the positive answer is X=3

Step-by-step explanation:

Rewrite the equation 5x^2+2=47

Subtract 2 from each side -----> 5x^2+2-2=47-2

Simplify   ---------> 5x^2=45

divide each side by 5 ----->  5x^2/5=45/5

Simplify x^2=9

Divide each side by using square root method -->  Sqrt(9)     - sqrt(9)

Now simplify to get X=3, or X=-3

Find the discriminant of 5x2 – 3x + 2 = 0 =​

Answers

Answer: -31

Step-by-step explanation:

5x³- 3x + 2 = 0

a = 5, b = -3, c = 2

(-3)² -4 × 5 × 2

-31

550 m:1.1 km simplify the ratio​

Answers

Step-by-step explanation:

Ratios can be fully simplified just like fractions. To simplify a ratio, divide all of the numbers in the ratio by the same number until they cannot be divided any more.

essay about why people should not join a gang ​

Answers

Answer: Joining a gang will not give you more protection; it could enhance your chance of being targeted as a victim. Gang members make far less money than those who do not join gangs. Gang members usually don't get a good education, making it hard to find a good job. Gang involvement increases your risk of being arrested, having to go to court, being put on probation or parole, being jailed, injured, or even killed. Being a gang member is a dangerous thing. Often, members realize this once they have joined the gang and want to leave. It is never easy to leave a gang because as a member you have information that could be shared with authorities like the police – and as a result, get the gang members in trouble. You would always be getting in trouble with the law because you would apart of a gang group. Gangs often steal, break in peoples houses, break in to their cars and etc. Gang members leave you to take the blame so the other ones would not get caught and go to jail. Being in a gang is really bad for you because if you did didce to leave the gang then they might come and kill you and your family because they have no respect for other people.

Hope it helps

Consider the equation and the graph

Answers

Answer:

-33/16

I'm pretty sure it is c sorry if not may be -39/16

How many 1/4 cup servings of milk are in a 4-cup container? show your math

Answers

Answer:

You need 16 1/4 cups to fill up a 4-cup container.

Step-by-step explanation:

Why did the Texans fought in the civil war

Answers

Answer:

Texans fought in the Civil War for states' rights, sectionalism, and to keep their slaves.

Texans fought in the Civil War to protect State Rights.

Texans fought in the Civil War for states rights, sectionalism, and to keep their slaves. Texans fought in the Civil War to protect State Rights.

The term solution is related to the word solve what do you think a solution might be

Answers

Answer:

something attained by mental effort and especially by computation

is called a solution, When you solve you get the solution meaning you have to tryed and never given up , to gain the solution.

Once a week Mrs. Baker makes sugar cookies.
The first week she makes the recipe, she uses
the 2 full cups of sugar called for. Each week
after that, she reduces the amount of sugar
by one third. How much sugar does she use
for cookies over 8 weeks? (Hint: The common
ratio is not 1/3.)

Answers

By getting the exponential decay that models the situation, we will see that after 8 weeks she uses 0.12 cups.

How much sugar does she use each week?

We know that the first week, she uses 2 cups of sugar, and each week she uses removes one-third of what she used the previous week.

Then the second week she uses:

S₂ = 2 cups - (1/3)*(2 cups) = 2 cups*(1 - 1/3) = 2 cups*(2/3)

The third week she uses:

S₃ = 2 cups*(2/3) - (1/3)*2 cups*(2/3) = 2 cups*(2/3)^2

You already can see the pattern, at week x, she will use:

Sₓ = (2 cups)*(2/3)^(x - 1)

This is an exponential decay.

To get how much sugar does she uses after 8 weeks, we just replace x by 8 in the above equation:

S₈ = (2 units)*(2/3)^(8 - 1) = 0.12 cups of sugar.

If you want to learn more about exponentials, you can read:

https://brainly.com/question/11464095

Difference between 3/5of Raman's present age and his age before 4years is zero. What will be his age after 5 years ?​

Answers

Answer:

[tex]11 \frac{2}{3} [/tex]

Years

Step-by-step explanation:

Let x be his current age

[tex] \frac{3}{5} x - 4 = 0 \\ x + 5 = [/tex]

Solve the expression:

[tex] \frac{3}{5} x - 4 = 0 \\ + 4 \\ \frac{3}{5} x = 4 \\ \times \frac{5}{3} \\ x = 4( \frac{5}{3}) \\x = \frac{20}{3} \\ x = 6 \frac{2}{3} [/tex]

[tex]x + 5 \\ 6 \frac{2}{3} + 5 \\ 11 \frac{2}{3} [/tex]

Write an equation of the line described: the x-axis

Answers

Y=0

Because y= 0 would be the x-axis just like x=0 would be the y axis

I know that’s a bit confusing but hope it helps

need help please. math question.

Answers

Answer:

I think it's C

Step-by-step explanation:

360°-232° = 128°

Two circles centered at the origin are graphed on the coordinate plane. The smaller circle has a radius of 2 units and the larger circle has a radius of 8 units.

Answers

The equations that describe the given circles are:

x^2 + y^2 = 4

x^2 + y^2 = 64

How to get the equations for the circles?

For a circle of radius R, centered at the point (a, b), the equation is:

(x - a)^2 + (y - b)^2 = R^2

In this case, we have two circles, both centered on (0, 0), but one has a radius of 2 units and the other a radius of 8 units, then we have two equations:

x^2 + y^2 = 2^2 = 4

x^2 + y^2 = 8^2 = 64

These are the two equations that describe the given circles.

If you want to learn more about circles, you can read:

https://brainly.com/question/25306774

Factor completely 3x(x 2) 4(x 2). (x 2)(3x 4) (x 2)(12x) (x 2)(7x) Prime.

Answers

The complete factor of the expression [tex]\rm 3x (x +2) + 4 (x +2)[/tex] is [tex]\rm(x+2)(3x + 4)[/tex]. Then the correct option is A.

What is a factorization?

It is the method to separate the polynomial into parts and the parts will be in multiplication. And the value of the polynomial at this point will be zero.

The expression is [tex]\rm 3x (x +2) + 4 (x +2)[/tex].

To solve the expression properly we have to take common (x+2). Then we have

[tex]\rm 3x (x +2) + 4 (x +2)\\\\(x+2)(3x + 4)[/tex]

The correct factor is (x + 2)(3x + 4).

More about the factorization link is given below.

https://brainly.com/question/6810544

Answer:

Yup A

Step-by-step explanation:

i need help with this math i am not very good at it

Answers

Answer:

44 sq. in.

Step-by-step explanation:

Area (total) = (1/2)(3)(4) + 10(3) + (1/2)(8)(2)

= 6 + 30 + 8

= 44 sq. in.

11 = - 5x - 2 help
11= -5x-2

Answers

Try to get X by itself so you have to add two to each side. Then get rid of the -5 by dividing it. The end result would be x= 13/-5

[tex]11 = -5x-2\\5x = -2-11\\5x =-13\\x = -13/5[/tex]

Answer: x = -13/5

Ok done. Thank to me :>

What is the value of x in this proportion?

27=−5x+3

x=−20 1/2
x=−19
x=−16
x=−14 1/2

Answers

Answer:

x = -24/5

none of the options listed

Step-by-step explanation:

27=−5x+3

the choices all have x listed as a positive number, so we need to fix the question by moving 5x to the other side of the = and changing its sign.

27 +5x= 3

then move the 27

5x= 3 -27

then subtract

5x = -24

then divide both sides by 5

x = -24/5

Pablo is mailing packages. Each small package costs him $2.20 to send. Each large package costs him $3.70. How much will it cost him to send 1small package and 5 large packages?

Answers

Answer:

$20.70

Step-by-step explanation:

5 × $3.70 = $18.50 + $2.20 =

$20.70

what is 7x1+1x1+1X1+1-0X + 0x2 + 2x simplified

Answers

Answer:

Simplify the expression.

X+10x+1

Answer:

X+10x+1

Step-by-step explanation:

this would be your answer

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