Does anybody understand this? QSRT is a Rectangle and SQR=55

Does Anybody Understand This? QSRT Is A Rectangle And SQR=55

Answers

Answer 1

Answer:

  90°; 55°; 35°; 110°; 70°

Step-by-step explanation:

A rectangle has corner angles that are 90°. When the corner angle is divided into two parts, the total of the parts is 90°.

Each of the triangles is isosceles. The figure is symmetrical about its center.

An exterior angle to a triangle is equal to the sum of the remote interior angles.

__

∠SRT = 90° . . . . a corner angle

∠STR = 55° . . . . symmetrical to the given angle

∠QRS = 180° -55° -90° = 35° . . . . sum of angles in ΔQRS is 180°

∠QPT = 2×55° = 110° . . . . exterior angle to ΔQPS; ∠QSP =∠SQP

∠TPR = 180° -110° = 70° . . . . forms a linear pair with ∠QPT

_____

There are numerous ways to figure any or all of these angles. They come down to the fundamentals: angles in a triangle total 180°; angles that form a line total 180°; corner angles of a rectangle are 90°. Base angles of an isosceles triangle are congruent.

The exterior angle rule derives from the sum of angles in a triangle and on a line both being 180°.


Related Questions

Mateo is baking a ham. He must make sure the ham has a minimum internal temperature of 145 degrees so that it is safe to eat. Using a thermometer, he takes the temperature of the ham in four random places. The minimum temperature in the sample is 150 degrees.

Identify the population and the sample. (4 points)
Population: four random places in the ham; Sample: all the ham meat
Population: all the ham meat; Sample: four random places in the ham
Population: all the ham meat; Sample: 150 degrees
Population: 150 degrees; Sample: 145 degrees
Population: 145 degrees; Sample: 150 degrees

Answers

Answer: Population: all the ham meat; Sample: four random places in the ham

Step-by-step explanation: I just took the test and got it right

If the couple purchase the house and make all their payments, what is their total cost of the house?

$256,000
$443,504
$513,765
$328,650

Answers

Answer:

1,514,919

Step-by-step explanation:

I just used a calculator cuz in 6th you can use one but here's the answer

Answer:

If the couple purchases a house and they made all their payments, their total cost of the house would be $1,541,919.

Explanation:

$256,000
$443,504
$513,765
$328,650 +
------------------

$1,541,919

Which side lengths form a right triangle?
(A) 1, 2, 3
(B) 5, 6, 7
(C) 3, 4, 5
(D) 4, 5, 6

Answers

b because 5,6,7 would form a right triangle

Which is the
slope-intercept form of the equation of the line with a slope
of -3 and a y-intercept of -1?
O y + 3 = -1(x-0)
Oy=-3x - 1
O y = 3x + 1
O y = 3x - 1

Answers

Answer:

I think its B

Step-by-step explanation:

A group of friends were working on a student film. They spent $504 on props, which was 42% of their total budget. What was the total budget for their student film?

Answers

the total budget for their film was $1200

The perimeter of a rectangle is given by P = 2(L + B) where L and B are the lengths of the sides. Find P when L= 17 and B = 13.​

Answers

Answer:

60.

Step-by-step explanation:

P = 2( 17 + 13)

= 2 * 30

= 60

Please Evaluate this equation

Answers

Answer:

Step-by-step explanation:

1.169

Answer:

8^2−38+85+3√8 =111+6√2

(Decimal: 119.485281)

Find the center and radius of the circle represented by the equation below.

Answers

Answer:

Centre (5,-9) and radius is 14

Step-by-step explanation:

The circle equation is of form,

[tex] = > {(x - a)}^{2} + {(y - b)}^{2} = {r}^{2} [/tex]

where centre is (a,b) and radius is 'r'.

What is the missing number in the table?

x
1
2
3
4
5
y
6
36
216
???
7,776

252
396
864
1,296

Answers

1296 it would 6x6x6x6

5 Air bags in a car 'explode' at 340 km/h.
a Convert this to metres per second.
b How long would the air bag take to move 10 cm?
Give your answer to the nearest thousandth of a second.​

Answers

Answer:

a. 94.444 m/s

b. 0.001 s

Step-by-step explanation:

We know that:1 km = 1000 m & 1 h = 3600s

#a

Explosion speed of air bag = 340 km/h

-> Explosion speed of air bag [tex]= 340\times \frac{1000\: m}{3600 \:s}[/tex]

-> Explosion speed of air bag [tex]= 94.444\: m/s[/tex]

#b

Speed = 94.444 m/s = 9444.4 cm/sDistance = 10 cmFormula relating time speed and distance is given as:

[tex] Time =\frac{distance}{speed}[/tex]

[tex]\implies Time =\frac{10}{9444.4}[/tex]

[tex]\implies Time =0.00105882851 \: s[/tex]

[tex]\implies Time \approx 0.001\: s[/tex]

Help with this 10th grade circle problem? can someone help me solve this, i have no idea how. my teacher wont get back to me.

Answers

Answer:

D) 8

Step-by-step explanation:

Use the Intersecting Chords Theorem to find the value of x:

[tex]x*x=16*4\\\\x^2=64\\\\x=8[/tex]

Solve the equation x2 − 16x 54 = 0 by completing the square. fill in the values of a and b to complete the solutions.

Answers

The solution to the given quadratic expression using the completing the square is  x = ±√10 +8

Completing the square method

This is a method of factoring quadratic expression. Given the quadratic function.

x^2 − 16x + 54 = 0

Subtract 54 from both sides

x^2 − 16x = -54

Complete the square

x^2 -16x +8^2 = -54 + 64

(x-8)² = 10
x - 8 = ±√10
x = ±√10 +8

Hence the solution to the given quadratic expression using the completing the square is  x = ±√10 +8

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Solve by completing the square.
y² +10y = -9

Answers

Answer:

y=−1 or y=−9

Step-by-step explanation:

y2+10y=−9

Step 1: Subtract -9 from both sides.

y2+10y−(−9)=−9−(−9)

y2+10y+9=0

Step 2: Factor left side of equation.

(y+1)(y+9)=0

Step 3: Set factors equal to 0.

y+1=0 or y+9=0

y=−1 or y=−9

Answer:

y=−1 or y=−9

Answer:

Here is the ans ..hope it helps:)

Each hour, the number of bacteria in Dr. Nall’s petri dish tripled. What percent is the population compared to the population the hour before?
3%

Answers

9%

I need 20 letters so I'm just typing this but it is 9%

What is the range of F?

Answers

The range of f as shown in the graph is -6 ≤ f(x) ≤ 5. The correct option is A. -6 ≤ f(x) ≤ 5

Determining the range of a function

From the question, we are to determine the range of f.

The range of a function is the set of its possible output values.

The graph of the function, f, is shown in the diagram.

From the graph,

The minimum value of f on the x-axis is -6. That is, f(x) ≥ -6

and

The maximum value of f on the x-axis is 5. That is, f(x) ≤ 5

Combining the two expressions, we get

f(x) ≥ -6 and f(x) ≤ 5

That is,

-6 ≤ f(x) and f(x) ≤ 5

-6 ≤ f(x) ≤ 5

Hence, the range of f as shown in the graph is -6 ≤ f(x) ≤ 5. The correct option is A. -6 ≤ f(x) ≤ 5

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Can someone teach me how to answer this? Thanks!

Answers

Answer:

[tex]\left( fg\right) \left( x\right) =2x^3\sqrt[3]{x}\\\\\left( \frac{f}{g} \right) \left( x\right) =\frac{2x^{3}}{\sqrt[3]{x} }[/tex]

Step-by-step explanation:

A regular octagon has a radius of 6 ft and a side length of 4.6 ft.

Answers

Answer: the correct answer is.....101 ft sq.

Step-by-step explanation:

PLEASE HURRY (NEED ANSWER ASAP)

Answers

The length of the shorter diagonal is 5.241 units and the length of the longer diagonal is 14.371 units

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Let p and q represent the length of the diagonals.

Hence:

[tex]p=\sqrt{9^2+6^2+2(9)(6)cos(34)}=14.371\ units\\\\q=\sqrt{9^2+6^2-2(9)(6)cos(34)}=5.241\ units[/tex]

The length of the shorter diagonal is 5.241 units and the length of the longer diagonal is 14.371 units

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Use the table of random numbers to simulate the situation.
On an average, 45% of the students in a college take a computer
course. Estimate the probability that at least 6 of the next 10
students will take a computer course.
48095
24765
05604
46497
11966
93354
86431
34731
56521
69722
26295
79423
42669
70962
17355
29826
53442
68241
88383
26431
73434
53041
29591
58166
23544
61132
12955
22834
41592
64119
53147
33205
82873
70967
70034
47821
11153
02989
37977
93425
O Possible answer: 60%
O Possible answer: 50%
O Possible answer: 55%
O Possible answer. 45%

Answers

Answer:

40%

Step-by-step explanation:

A set of random numbers can be used for simulating a situation by defining how the numbers will be used to represent the possible outcomes. Trials are repeated using newly-generated random numbers until there are a sufficient number of trials to give a reasonable prediction of the probability of interest.

__

We can simulate the situation as follows:

if a pair of digits is in the range 00-44, then the student will be taking a computer coursea sequence of 10 pairs of digits (4 of the 5-digit numbers) will represent a group of 10 studentsWe are interested in the fraction of groups of 10 that have 6 or more that take a computer course. (Theoretical probability is about 26%.)

Here are our trials and results.

48 09 52 47 65 05 60 44 64 97 -- 3 of 10

11 96 69 33 54 86 43 13 47 31 -- 5 of 10

56 52 16 97 22 26 29 57 94 23 -- 5 of 10

42 66 97 09 62 17 35 52 98 26 -- 5 of 10

53 44 26 82 41 88 38 32 64 31 -- 6 of 10

73 43 45 30 41 29 59 15 81 66 -- 5 of 10

23 54 46 11 32 12 95 52 28 34 -- 6 of 10

41 59 26 41 19 53 14 73 32 05 -- 7 of 10

82 87 37 09 67 70 03 44 78 21 -- 5 of 10

11 15 30 29 89 37 97 79 34 25 -- 7 of 10

__

Of these 10 trials, 4 showed the result that at least 6 of the next 10 students will choose a computer course. That is, the probability is estimated to be about 4/10 = 40%.

_____

Additional comment

Here, we can only predict the probability of interest as some multiple of 10%, since we have numbers sufficient for only 10 trials.

We could arrange the random numbers a different way and reuse them, but we choose not to for the purpose of this answer. For that to make sense, we need to have assurance that these numbers are truly random.

The number of repeated values among these 100 pairs of digits suggests that this is a poor set of numbers to be using. 26 and 41 each show up 4 times, for example. The probability of that happening by chance in a truly random set of numbers is about 0.03%. A chance event is considered to be unlikely if its probability is less than 1%.

Answer:50%

Step-by-step explanation:believe me it is 50%. 40% isn’t even a option. 50% is the correct answer.

What is the approximate solution to this equation? 4inx-8=12

Answers

Answer:

[tex]x=e^5\approx148.413[/tex]

Step-by-step explanation:

[tex]4\ln x-8=12\\\\4\ln x=20\\\\\ln x = 5\\\\x=e^5[/tex]

Julia earned $2,000 during the month of September. Use the paycheck statement to find the missing amounts and percent rates of the taxes Julia paid. I WILL MARK BRAINLIEST. only want answers

Answers

Julia paid $124 to social security as a payroll tax, $29 in Medicare as a payroll tax, 13% of her income to the federal government as an income tax, and 6% of her income to state government as an income tax.

What is the income tax rate?

It is defined as the tax rate applied on the solely earned money by a single entity.

Julia paid to social security as a payroll tax = 6.2% of 2000

= (6.2×2000)/100

= $124

Julia paid to Medicare as a payroll tax = 1.45% of 2000

= (1.45×2000)/100

= $29

Julia paid a percent of her income to the federal government as an income tax:

= (260/2000)×100

= 13%

Julia paid a percent of her income to state government as an income tax:

= (120/2000)×100

= 6%

Thus, Julia paid $124 to social security as a payroll tax, $29 in Medicare as a payroll tax, 13% of her income to the federal government as an income tax, and 6% of her income to state government as an income tax.

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Make sure your answer is in
degrees. You should be able to
find this without a calculator.
-
cos ¹(cos 43°) = [? ]°

Answers

Answer:

[tex]\cos^{-1}( \cos 43^{\circ}) = 43^{\circ}[/tex]

Step-by-step explanation:

The correct answer of the given function [tex]cos^{-1}[/tex] (cos 43°) will be 43°.

What is a trigonometric function?

The fundamental 6 functions of trigonometry have a range of numbers as their result and a domain input value that is the angle of a right triangle.

It will be possible to comprehend the graphs, domains, differentiation, and integration of the four quadrants' trigonometric functions.

The trigonometric function is only valid for the right angle triangle and it is 6 functions which are given as sin cos tan cosec sec cot.

We know that the inverse trigonometric function of any function will vanish.

[tex]cos^{-1}[/tex]  (cos 43°)  = 43° cos inverse has vanished with cos and thus 43° is coming out to be the answer.

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Let's find 1/4+1/12

First, write the addition so the fractions have denominator 12.
Then add.1/4+1/12=?/12+1/12=?\?

Answers

Answer:

[tex]\frac{4}{12}[/tex] or [tex]\frac{1}{3}[/tex]

Step-by-step explanation:

[tex]\frac{1}{4} + \frac{1}{12} = \frac{3}{12} + \frac{1}{12} = \frac{4}{12}[/tex]

tickets to gone with the wind, at the classic movie house, cost $4.50 for adults and $2 for children. If 45 people attended the Saturday matinee showing and the Classic movie House sold $162.50 worth of tickets: How many adults attended the showing

Answers

Taking into account the definition of a system of linear equations, the number of adults attended the Saturday matinee showing is 29 and the number of children attended the Saturday matinee showing is 16.

System of linear equations

A system of linear equations is a set of two or more equations of the first degree, in which two or more unknowns are related.

Solving a system of equations consists of finding the value of each unknown so that all the equations of the system are satisfied. That is to say, the values ​​of the unknowns must be sought, with which when replacing, they must give the solution proposed in both equations.

Amount of adults that attended the showing

In this case, a system of linear equations must be proposed taking into account that:

"x": number of adults attended the Saturday matinee showing."y":  number of children attended the Saturday matinee showing.

The tickets to gone with the wind, at the classic movie house, cost $4.50 for adults and $2 for children.

45 people attended the Saturday matinee showing and the Classic movie House sold $162.50 worth of tickets.

So, the system of equations to be solved is

[tex]\left \{ {{x+y=45} \atop {4.50x+2y=162.5}} \right.[/tex]

There are several methods to solve a system of equations, it is decided to solve it using the substitution method, which consists of clearing one of the two variables in one of the equations of the system and substituting its value in the other equation.

In this case, isolating the variable "x" from the first equation you get:

x=45 - y

Then, substituting the expression in the second equation you get:

4.50×(45 - y) +2y=162.5

Solving:

4.50×45 - 4.50y +2y=162.5

4.50×45 - 4.50y +2y=162.5

202.5 -2.5y= 162.5

-2.5y= 162.5 -202.5

-2.5y= -40

y= (-40)÷ (-2.5)

y=16

Now, replacing in the expression x=45 - y you get:

x=45 -y

x= 45-16

x= 29

Finally, the number of adults attended the Saturday matinee showing is 29 and the number of children attended the Saturday matinee showing is 16.

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cant solve x+4y=0
3x+2y=20

Answers

Answer:

The answer to this question is -2.

Step-by-step explanation:

First, multiply one of the equations by something that can cancel out the other variable.

3x+2y=20

3(x+4y=0)

3x+2y=20

3x+12y=0

Now, subtract both equations.

-10y=20

Now, divide both sides by -10.

y=-2

Hope this helps!

alia is shopping for school clothes she want to buy 5 T-shirts for 6 each and pair of shoes for 20 she thinks that she will spend about 30 is the answer reasonable

Answers

Answer:

it's not reasonable because the t-shirts alone cost 30 and the shoes cost 20 so it would cost 50 altogether.

A men's basketball coach would like to know if there is a relationship between how tall a player is and how high he
can jump. complete the statement based on the information.
in this situation, height is the
y and how high he can jump is the

Answers

Answer:

Explanitory

Response

Step-by-step explanation:

edge

Find the volume of the square pyramid.

A. 15 yd
B. 25 yd
C. 35 yd
D. 45 yd

Answers

45 yd. Area Is BH. the area of the base is 9. Times the height, 5, is 45

a series contains 18 numbers and has a sum of 4,185. the last number of the series is 275. what is the first number?
42.5
190.0
465.0
740.0

Answers

Answer:

ai = 190.0

Step-by-step explanation:

I'll presume the sequence is arithmetic, simply because assuming the series is mathematical, there is more than one solution.

Assuming the series is comprised of numbers in an arithmetic progression, you will have...  (see attachment for better explanation and step by step.)

the vertices of figure ABC are A(-4,1), B(5,3), and C(4,-2). If figure ABC is reflected over the line x=2, find the coordinates of vertex B'.

Answers

The coordinates of vertex B' are (-1,3)

What is reflection?

Reflection is a mathematical transformation in which a image of an object is formed by flipping it over a reflection line a distance equal to the distance of the object from the reflection line.

Analysis:

When an object is reflected along the y-axis, only the the x-coordinate changes , if reflected along the x-axis, only the y-coordinate changes.

So vertex B' is a reflected vertex along the y- axis since it is at x=2

The distance of the x-coordinate of vertex B from the mirror line is 5-2 = 3

so the x-coordinate of vertex B' is going 3 units away from the mirror line which is at -1.

So the coordinates of vertex B' are (-1,3)

In conclusion, the coordinates of vertex B' reflected over the line X= 2 are (-1,3)

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