I don't understand plz help

I Don't Understand Plz Help

Answers

Answer 1

9514 1404 393

Answer:

  x = 2

Step-by-step explanation:

Triangles QST and QSR are congruent, so angle QST is congruent to angle QSR.

  (3x +24)° = 30°

  3x = 6 . . . . . . . . . divide by °, subtract 24

  x = 2 . . . . . . . . . . divide by 3

__

Additional comment

What matters here is the relationship between the two marked acute angles. The fact that point Q is equidistant from the sides of angle TSR tells you that QS is an angle bisector and the two angles have equal measures. (The definition of an angle bisector is that it is equidistant from the sides of the angle.)

Recognition that the two triangles are congruent is another way to see that the marked acute angles have the same measure. The triangle congruence can be claimed on the basis of the HL theorem, since both are right triangles, have the same hypotenuse (QS), and have legs (QT, QR) with the same measure.


Related Questions

What is the domain of the square root function graphed below?

Answers

Answer:

Set the expression inside the square root greater than or equal to zero. We do this because only nonnegative numbers have a real square root, in other words, we can not take the square root of a negative number and get a real number, which means we have to use numbers that are greater than or equal to zero.

Step 2: Solve the equation found in step 1. Remember that when you are solving equations involving inequalities, if you multiply or divide by a negative number, you must reverse the direction of the inequality symbol.

Step 3: Write the answer using interval notation.


Help please !!! I will mark brainlist!!

Answers

Answer:

x= -0.182 and +4

hope it helps

have a nice day

Can somebody help me out please

Answers

Answer:

Brainly's honor code doesn't allow quiz questions to be posted.

"Students are never allowed 2 post questions directly from tests, quizzes, and assessments, or copy answers found on Brainly during tests, quizzes, and assessments."

Simplify the expression given below. x+2/4x^2+5x+1 * 4x+1/x^2-4

Answers

Answer:

[tex]\frac{1}{(x+1)(x-2)}[/tex]

Step-by-step explanation:

[tex]\frac{x+2}{4x^2 + 5x + 1} \ \times \ \frac{4x+1}{x^2-4}\\\\=\frac{x+2}{4x^2 + 4x + x + 1} \ \times \ \frac{4x+1}{x^2-2^2}\\\\=\frac{x+2}{4x(x + 1) + 1( x + 1)} \ \times \ \frac{4x+1}{(x - 2)(x + 2)} \ \ \ \ \ \ \ \ [ \ (a^2 - b^2 = (a-b)(a+b) \ ]\\\\\\=\frac{x+2}{(4x + 1)(x+1)} \ \times \ \frac{4x+1}{(x-2)(x+2)}\\\\=\frac{1}{(x+1)} \ \times \ \frac{1}{(x-2)}\\\\= \frac{1}{(x+1)(x-2)}[/tex]

Answer:

D. 1/(x+1)(x-2)

Step-by-step explanation:

i looked it up on a simplifier :)

- 10 + x < - 2 what is the solution of the inequality shown below

Answers

Answer:

x<8

Step-by-step explanation:

add negative 4 plus negative 6​

Answers

-10

thats it, thats what i know

solve for x in the equation 9- x/4=2

Answers

Answer:

9-x/4=2

[tex] \frac{36 - x}{4} = 2[/tex]

[tex]36 - x = 2 \times 4[/tex]

[tex]36 - x = 8[/tex]

[tex] 36 - 8 = x[/tex]

[tex]28 = x[/tex]

[tex]x = 28[/tex]

9 - x/4 = 2

(36 - x)/4 = 2

36 - x = 8

36 - 8 = x

x = 28

I hope you understand...

Mark me as brainliest...

Express the given situation as a linear inequality. needs at least units of a nutritional supplement per day. Red pills provide units and blue pills provide. Let x be the number of red pills and y be the number of blue pills.
A. 6x+ 5y ≥ 32
B. 11(x + y) ≥ 32
C. 320X+ y) ≥ 11
D. x+y≥32

Answers

Wiener eejnejene jenejeeb ewj



Jenejeneb Jenner be.



Hope the helps

1. Suppose that a die is rolled twice. What are the possible values that the following random variables can take on: (a) the maximum value to appear in the two rolls: (b) the minimum value to appear in the two rolls; (c) the sum of the two rolls; (d) the value of the first roll minus the value of the second roll? 2. If the die in Problem 1 is assumed fair, calculate the probabilities associated with the random variables in parts (a) through (d).

Answers

Answer:

hat mather chosen to be mather

how to write 403.225 in words and how do i get the answer. Thanks!!!!

Answers

Four-hundred three and two-hundred twenty five thousandths

The four is in the hundreds place and the three is in the ones so you pronounce it four-hundred three. The five is in the thousandths place and the second two is in the hundredths place so it’s pronounced two-hundred twenty five thousandths. And you always say “and” to represent your decimal.

The table shows a linear relationship between x and y.
х
у
-20
96
-12
60
-6
33
-2
15
What is the rate of change of y with respect to x?

Answers

Answer:

[tex] -\frac{9}{2} [/tex]

Step-by-step explanation:

Rate of change of x and y can be calculated using the following formula and using any two given pair of values from the table:

Rate of change = [tex] \frac{y_2 - y_1}{x_2 - x_1} [/tex]

Using (-12, 60) and (-6, 33).

Where,

[tex] (-12, 60) = (x_1, y_1) [/tex]

[tex] (-6, 33) = (x_2, y_2) [/tex]

Plug is the values

Rate of change = [tex] \frac{33 - 60}{-6 -(-12)} [/tex]

Rate of change = [tex] \frac{-27}{6} [/tex]

Simplify

Rate of change = [tex] \frac{-9}{2} [/tex]

Rate of change = [tex] -\frac{9}{2} [/tex]

A parallelogram has base (2x - 1) metres and height (4x - 7) metres.
The area of the parallelogram is 1 m?.
(1) Show that 4x? - 9x + 3 = 0.
Answer (a)(i)
(*) Solve the equation 4x² – 9x + 3 = 0.
Show all your working and give your answers correct to 2 decimal places.

Answers

Answer:

0.4069 ; 1.843

Step-by-step explanation:

Given:

Base of parallelogram, b = (2x - 1)

Height = (4x - 7)

Area = 1

Area of parallelogram = Base * height

Area of parallelogram = (2x - 1) * (4x - 7)

(2x - 1) * (4x - 7) = 1

8x² - 14x - 4x + 7 = 1

8x² - 18x + 7 - 1 = 0

8x² - 18x + 6 = 0

Divide through by 2

4x² - 9x + 3 = 0

Solving the quadratic equation :

Using the formula

-b ± √(b² - 4ac) / 2a

a = 4 ; b = - 9 ; c = 3

Plugging in the values :

-(-9) ± √((-9)² - 4(4)(3)) / 2(4)

9 ± √(81 - 48) / 8

9 ± √33 / 8

(9 ± 5.7445626) / 8

(9 - 5.7445626) / 8) = 0.4069

(9 + 5.7445626) / 8 = 1.843

Select the correct answer.
What is the solution to this equation?
log3 (4x) – 2log3x =2

A. 36
B. 9/4
C. 4/9
D. 1/36

Answers

9514 1404 393

Answer:

  C.  4/9

Step-by-step explanation:

There are a couple of ways you can do this.

  [tex]\log_3{4x}-2\log_3{x}=2\\\\\log_3{4}+\log_3{x}-2\log_3{x}=2\\\\\log_3{4}-2=\log_3{x}\\\\4\cdot3^{-2}=x\qquad\text{take antilogs}\\\\\boxed{x=\dfrac{4}{9}}\\\\\textsf{or}\\\\\dfrac{4x}{x^2}=3^2\qquad\text{take antilogs}\\\\\dfrac{4}{9}=x\qquad\text{cancel $x$, multiply by $\dfrac{x}{9}$}[/tex]

Come up with an example of three side lengths that can not possibly make a triangle, and explain how you know.

Answers

I think: 1 foot, 1 inch, and 1 inch
8 cm, 4 cm, and 2 cm

Answer:

3, 5 and 15

Step-by-step explanation:

According to the triangle inequality theorem, the lengths of any two sides of a triangle must add up to more than the length of the third side. This means that you cannot draw a triangle with side lengths 3, 5 and 15, since 3 + 5 is less than 15.

What are some easy ways to find the value of

(2017^4−2016^4)/(2017^2+2016^2) without calculator

Answers

Answer:

Step-by-step explanation:

[tex]\frac{2017^4 - 2016^4}{2017^2 + 2016^2}[/tex]

[tex]= \frac{(2017^2 - 2016^2)(2017^2 + 2016^2)}{2017^2 + 2016^2}[/tex]

[tex]= (2017^2 - 2016^2)[/tex]

[tex]= (2017 - 2016)(2017 + 2016)\\= 4033[/tex]

How many quarts of pure antifreeze must be added to 8 quarts of a 10% antifreeze solution to obtain a 60% antifreeze solution

Answers

Answer:

10 quarts

Step-by-step explanation:

.1(8) + 1(x) = .6(x + 8)

.8 + x = .6x + 4.8

.4x = 4

x = 10

10 quarts

Multiply: 3x⎯⎯⎯⎯√·6y⎯⎯⎯⎯√
.

Answers

Answer:

l

Step-by-step explanation:

4x = -12? dgdgdgdgdgdg

Answers

Answer:

-3

Step-by-step explanation:

X=-12/4

X=-3

hope it helps

Answer:

-3

Step-by-step explanation:

4x= -12

4x/4 = -12/4

x = -3

Help me plz I need to get a good score

Answers

Answer:

x+59 =180( sum of linear pair )

x=180-59

x=121

Please help me
Thank you.

Answers

Answer:

(8, -1)

General Formulas and Concepts:

Algebra I

Reading a coordinate planeCoordinates (x, y)Solving systems of equations by graphing

Step-by-step explanation:

Where the 2 lines intersect is the solution to the systems of equations. The systems of equations intersect at (8, -1).

2.) Find the zeros of the quadratic function y = x2 – 3x + 2 by factoring method. ​

Answers

Answer:

The zeros are 1 and 2

Step-by-step explanation:

Given

[tex]y =x^2 - 3x + 2[/tex]

Required

The zeros

[tex]y =x^2 - 3x + 2[/tex]

Expand

[tex]y =x^2 - 2x-x + 2[/tex]

Factorize

[tex]y =x(x - 2)-1(x - 2)[/tex]

Factor out x - 2

[tex]y =(x - 1)(x - 2)[/tex]

Set to 0

[tex](x - 1)(x - 2)=0[/tex]

Solve for x

[tex]x - 1 = 0 \to x =1[/tex]

[tex]x - 2 = 0 \to x =2[/tex]

Hence, the zeros are 1 and 2

What are the solutions to x2 -8x =13

Answers

x2 - 8x + 16 = 13 + 16
(x - 4)^2 = 29
x - 4 = sr(29)
x = 4 +- sr(29)

Answer:

See image below for answer:)

Step-by-step explanation:

What is the reflection across y=x and y=-x. Just the general definition of what it means.

Answers

Answer: When you reflect a point across the line y = x, the x-coordinate and y-coordinate change places. If you reflect over the line y = -x, the x-coordinate and y-coordinate change places and are negated (the signs are changed). the line y = x is the point (y, x).

Reflection in the y -axis:

The rule for a reflection over the y -axis is (x,y)→(−x,y) .

Reflecting over any other line. Notice how each point of the original figure and its image are the same distance away from the line of reflection (x = –2 in this example).

It is simple enough to identify whether or not a given function f(x) is a linear transformation. Just look at each term of each component of f(x). If each of these terms is a number times one of the components of x, then f is a linear transformation. are linear transformations.

First shift three units to the left, so the line of reflection becomes the y axis, then flip, and finally remember to shift three units back to the right to put the center line back where it belongs. (This gives the f(6−x) solution you already know).

More information for you..

https://youtu.be/TPU5IyCUGuA

https://youtu.be/JHQtA6R7fYc

https://youtu.be/LR6f23gY3qk

[tex]\color{yellow}{}[/tex]

The circumference of the base of the cone is 8.5 inches. What is the volume of the cone in term of pi? Round to the nearest hundredth

Answers

Answer:  V = 270.94/pi

========================================================

Work Shown:

C = 2*pi*r  ......... circumference of the circular base

r = C/(2pi)

r = (8.5)/(2pi)

r = 4.25/pi

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

V = pi*r^2*h ...... volume of the cone

V = pi*(4.25/pi)^2*15

V = pi*(18.0625/pi^2)*15

V = (18.0625*15)/pi

V = 270.9375/pi ..... exact volume in terms of pi

If we round that decimal number up top to the nearest hundredth, then we end up with V = 270.94/pi

Milauskasville Middle School's Crazy Hair Club sold tickets to it's "Hair Today, Gone Tomorrow" talent show. A total of 55 tickets were sold in the amount of $176.50. If adult tickets cost $3.75 and student tickets cost $2.00, how many adult tickets and student tickets were sold?​

Answers

Answer:

Adult ticket = 38

Student ticket = 17

Step-by-step explanation:

Let :

Adult ticket = x

Student ticket = y

x + y = 55 - - - - (1)

Cost per x = 3.75

Cost per y = 2

3.75x + 2y = 176.50 - - - (2)

From (1):

x = 55 - y

Put in (2)

3.75(55 - y) + 2y = 176.50

206.25 - 3.75y + 2y = 176.50

-1.75y = - 29.75

y = - 29.75 / - 1.75

y = 17

From :

x = 55 - y

x = 55 - 17

x = 38

Write the equation of the circle with center C(-5,8) and radius = 7

Answers

Answer:

( h + 5 )^2 + ( y - 8 ) ^2 = 49

Step-by-step explanation:

Equation of a circle:

( x - h )^2 + ( y - k )^2 = r^2

Where ( h , k ) = center and r = radius

We are given that the circle has a center at ( -5 , 8 ) meaning that h = -5 and k = 8

We are also given that the circle has a radius of 7 meaning that r = 7

Now that we have identified each variable we plug the values into the equation

( h - (-5)^2 + ( y - 8 )^2 = 7^2

Our final step is to simplify

we get that the equation of the circle is

( h + 5 )^2 + ( y - 8 ) ^2 = 49

By the way ^ means exponent

PLSSSS ASAPPP!!!!!!!!!!
Find the length of the missing side in the right triangle shown below.

A)169
B)7,056
C)None of these answers are correct
D)7,225
E)13

Answers

Answer:

D. my answer for your question

What are the rational roots of f(d) = 5d - 6 + d-8?

Answers

5d - 6 + d - 8 = 0

6d - 14 = 0

6d = 14

d = 14/6

d = 2 and a third

What is the distance between T(9, −5) and the center of the circle with equation (x – 6)2 + (y + 1)2 =10?

Answers

Step-by-step explanation:

first, determine the coordinates values like x =9 and y=-5

so x-6 =3

Find the zero of the polynomial 2y – 3​

Answers

Answer:

The zero of the polynomial is [tex]y = \frac{3}{2}[/tex]

Step-by-step explanation:

Zero of a polynomial:

The zeros of a polynomial are the values of the independent variable(in this case y) for which the polynomial is 0.

Polynomial 2y - 3

The zero is given by:

[tex]2y - 3 = 0[/tex]

[tex]2y = 3[/tex]

[tex]y = \frac{3}{2}[/tex]

The zero of the polynomial is [tex]y = \frac{3}{2}[/tex]

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