please show work i would appreciate it ​

Please Show Work I Would Appreciate It

Answers

Answer 1

Answer:

a) x = 14

b) The perimeter of △QRS is 77 units.

Step-by-step explanation:

a) Due to the question asking for a solution using the Triangle Proportionality Theorem, it is assumed that △RQS is similar to the smaller triangle inside it.

Let us define the point at which the line inside △RQS meets line RQ as T, and the point at which that same line meets line RS as V.

Hence, △RTV ~ △RQS.

According to the Triangle Proportionality Theorem:

[tex]\frac{RT}{RQ} = \frac{TV}{QS} = \frac{VR}{SR}[/tex]

Hence, we can substitute all values that we know from the diagram:

[tex]\frac{2x - 2}{2x - 2 + 13} = \frac{TV}{17} = \frac{21 - 7}{21}[/tex]

After getting this information, all we have to do is simplify and solve the equation:

[tex]\frac{2x - 2}{2x - 2 + 13} = \frac{21 - 7}{21}[/tex]

[tex]\frac{2x - 2}{2x + 11} = \frac{14}{21}[/tex]

[tex]\frac{2x - 2}{2x + 11} = \frac{2}{3}[/tex]

[tex]3(2x - 2) = 2(2x + 11)[/tex]

[tex]6x - 6 = 4x + 22[/tex]

[tex]6x - 4x = 22 + 6[/tex]

[tex]2x = 28[/tex]

[tex]x = 14[/tex]

To verify this answer, we can plug in the value of x into the equation:

[tex]\frac{2(14) - 2}{2(14) - 2 + 13} = \frac{2}{3}[/tex]

[tex]\frac{26}{39} = \frac{2}{3}[/tex]

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

Hence, after verification, we can get the answer: x = 14.

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

b) To find the perimeter of △QRS, all we have to do is to add all the lengths of the sides of △QRS together.

Hence, 2(14) - 2 + 13 + 17 + 21

= 28 - 2 + 13 + 17 + 21

= 77 units

Therefore, the perimeter of △QRS is 77 units.

Hope this helped!


Related Questions

Evaluate 15 squared show work

Answers

Answer:

225

Step-by-step explanation:

15x15=225

There is a cool trick you can do. Lets take 28 and square it.

First you round the number up. 28 rounded is 30. You rounded up by 2 (30-28=2) so you minus 2 from 28.

You are left with these two numbers, 26 and 30. Add a zero to the 26.

You now have 260 and 3 (you remove 0 on the 30 since you added it to the 26)

Then you multiply by 3.

260x3=780

Then you add the square of the number you rounded up too, which is 2.

You are left with this equation.

(2^2)+780= 784

28x28=784.

This works for numbers below 100 and integers

A university organization shows that 108 of the university's 253 assistant professors were women, along with 97 of the 301 associate professors and 78 of the 350 full professors. (a) What is the probability that a randomly chosen university professor (of any rank) is a woman

Answers

Answer:

[tex]Probability = 0.3131[/tex]

Step-by-step explanation:

Required

Determine the probability of selecting a woman

The given data can be represented to show women distribution as:

-------------------------------------- Women ------------------- Total

Assistant Professors ----------- 108 ----------------------253

Associate Professors ---------97 -------------------------301

Full Professors -----------------78---------------------------350

First, we calculate the number of women

[tex]Women = 108 + 97 + 78[/tex]

[tex]Women = 283[/tex]

Next, we calculate the total number of professors

[tex]Professors = 253 + 301 + 350[/tex]

[tex]Professors = 904[/tex]

Probability of selecting women is then calculated as:

[tex]Probability = \frac{Women}{Professors}[/tex]

[tex]Probability = \frac{283}{904}[/tex]

[tex]Probability = 0.31305309734[/tex]

[tex]Probability = 0.3131[/tex] -- (approximated)

Help plz 13. Mildred is flying a kite on a 30 m string. The angle of elevation of the kite measures 40 degrees,
and Mildred's hand is 2 m above the ground. About how high is the kite off the ground?
a. 21.3 m
c. 19.3 m
b. 25 m
d. 23 m

Answers

Answer: 21.3m

Step-by-step explanation:

The height of the kite of the ground would be calculated as:

We have to calculate the question using a right angled triangle that has angle ACB as 90° while angle CAB will be 40°.

Therefore, the height of the kite would be:

= 30 sin 40 + 2

= 30 (0.6428 ) + 2

= 19.284 + 2

= 21.284 m

= 21.3 m

given f(x)=2x-5, find x when f(x)=9

Answers

Answer:

x = 7

Step-by-step explanation:

9 = 2x - 5

add 5 to both sides

14 = 2x

divide by 2 to get x by itself

x = 7

Find the 61st term of -12, -28, -44,

Answers

Answer:

[tex]a_{61}=-972[/tex]

Step-by-step explanation:

Arithmetic Sequences

The arithmetic sequences are identified because any term n is obtained by adding or subtracting a fixed number to the previous term. That number is called the common difference.

The equation to calculate the nth term of an arithmetic sequence is:

[tex]a_n=a_1+(n-1)r[/tex]

Where

an = nth term

a1 = first term

r   = common difference

n  = number of the term

We are given the first terms of a sequence:

-12, -28, -44,...

Find the common difference by subtracting consecutive terms:

r = -28 - (-12) = -16

r = -44 - (-28) = -16

The first term is a1 = -12. Now we calculate the term n=61:

[tex]a_{61}=-12+(61-1)(-16)[/tex]

[tex]a_{61}=-12-60*16=-12-960[/tex]

[tex]\mathbf{a_{61}=-972}[/tex]

Amit’s school bus travelsat 36km/hr and Sushma’s school bus travels at 11 m/s. Whose school bus is faster ?

Answers

Answer:

This answer is not originally mine so Don give me credit

Step-by-step explanation:

Amit's school bus in m/s will be

36×1000/3600

36 × 10/36

= 10 m/s

While sushma's school bus has speed of 11 m/s

so sushma's school bus is faster than Amit's school bus

Answer:

Amit's: 10 m/s

Sushma's 11 m/s

Step-by-step explanation:

Amit's:

36 x 1000/3600

36 x 10/36

Sushma's:

11 m/s

Sushma's school bus is faster than Amit

what is the value of d+3

Answers

Answer:

you need to explain

Step-by-step explanation:

Refer to - KLMN
2x
M
101
-3
2y
P
y + 3 cm
60°
К.
N
x + 4 cm
mZ1 + m22 =

Answers

Answer:

[tex]m∠1 + m∠2 = 180[/tex]

Step-by-step explanation:

[tex]m∠1 = m∠3 \\ m∠2 = m∠4[/tex]

[tex]m∠ 1 = m∠3 \\ 60 = 60[/tex]

[tex]360 - m∠1 + m∠3 = m∠2 + m∠4[/tex]

[tex]360 - 60 + 60 = m∠2 + m∠4[/tex]

[tex]360 - 2(60) = m∠2 + m∠4[/tex]

[tex]360 - 120 = m∠2 + m∠4[/tex]

[tex]240 = m∠2 + m∠4[/tex]

[tex] \frac{240}{2} = m∠2 = m∠4[/tex]

[tex]120 = m∠2 = m∠4[/tex]

[tex]m∠2 = 120 \\ m∠4 = 120[/tex]

[tex]m∠1 = 60 \\ m∠3 = 60[/tex]

[tex]m∠2 = 120 \\ m∠4 = 120[/tex]

[tex]m∠1 + m∠2 + m∠3 + m∠4 { = }^{?} 360[/tex]

[tex]60 + 120 + 60 + 120 { = }^{?} 360[/tex]

[tex]2(60) + 2(120) { = }^{?} 360[/tex]

[tex]120 + 240 { = }^{?} 360[/tex]

[tex]360 = 360[/tex]

[tex]m∠1 + m∠2 [/tex]

[tex]60 + 120 = 180[/tex]

[tex]m∠1 + m∠2 = 180[/tex]

A school club wants to collect at least 500 canned goods for a school food drive. The club has already collected 30 canned goods.
Part A
If 10 club members each collect the same number of canned goods, which inequality represents the minimum number of canned goods, n, each
club member must collect for the club to meet the goal?
10n +30<500
10n + 30 500
30n + 10 < 500
30n + 10 > 500

Answers

i think i would know the answer to that

Evaluate the function.

g(x)=10x+3

g(19.6)=

Answers

Answer:

199

Step-by-step explanation:

plug in x=19.6, then

g(19.6) = 10 * 19.6 +3= 199

human activities have drastic effects on biomes match the human activities with the biomes they primarily ​

Answers

This is your perfect answer

While President, Obama received an average of 60, 000 letters per week at the White House.
Approximately how many letters does he receive in a day?

Answers

Answer:

8571 letters per day

Step-by-step explanation:

60,000/1 week is the same as 60,000/7 days so

60,000/7 = 8571.428571

is aproximately 8571 letters per day

hey im dum dum what's 45*23455/76?

Answers

Answer:

13887.8289474

Step-by-step explanation:

i used a calculator cuz im dum too lol

Answer:

45*23455/76 = 133887.82894736

Find the x and y intercepts of the following equation. 3x - 8y = 24

Answers

y=-3
x=8

This is because you equal the opposite to 0 then solve.

Jill would like an increase in the hourly wage she receives from the Mathematics Research Center, where she works in the mail room. Her boss gives her an equation to solve, telling her that her raise is the solution to the equation, but only if she can solve it. The equation is x 2- 6x + 9 = 0. What was the amount of her raise per hour? Answer:

Answers

Answer:

Jill will receive an increase of $3 per hour

Step-by-step explanation:

The Quadratic Equation

The quadratic equation can be represented in the standard form as:

[tex]ax^2+bx+c=0[/tex]

being a,b, and c are constants.

It can be solved by using the quadratic formula:

[tex]\displaystyle x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]

Jill would like an increase in her hourly wage. The increase will come as the solution for a maths equation.

She must solve the equation:

[tex]x^2-6x+9=0[/tex]

The solution to the equation, or value of x, is the increase in her hourly wage.

Comparing with the general form, we have a=1, b=-6, c=9. Thus, the solutions are:

[tex]\displaystyle x=\frac{-(-6)\pm \sqrt{(-6)^2-4(1)(9)}}{2(1)}[/tex]

[tex]\displaystyle x=\frac{6\pm \sqrt{36-36}}{2}[/tex]

[tex]\displaystyle x=\frac{6\pm \sqrt{0}}{2}[/tex]

The square root is 0, therefore is only one solution:

[tex]\displaystyle x=\frac{6}{2}=3[/tex]

x = 3

Thus, her raise per hour is $3.

Help me find the radius please

Answers

Answer:

The radius is 2.46686837338 or simplified: 2.5.

Step-by-step explanation:

A = 60 so it would be √60/3.14 =2.46686837338

I hope this helps and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!

The diagram represents the enlargement of a rectangle by using a scale factor of 6.

A rectangle has a length of 30 feet and width of 6 feet.


What are the dimensions of the original rectangle?

Answers

Answer:

lenght of 5 feet and width of 1 feet

Step-by-step explanation:

30/6=5

6/6=1

Answer:

lenght of 5 feet and width of 1 feet

Step-by-step explanation:

30/6=5

6/6=1

Step-by-step explanation: like what that peson said! way to go and good luck on your test!

To walk to her friend's house, Cristal normally walks 63 yards north and 16 yards east as shown. How many
yards shorter would it be if Julie took the diagonal shortcut, x?
16 yd
63 yd
х
A
(10

Answers

Answer:

65 yd

Step-by-step explanation:

The image of this walking path of Cristal is missing, so i have attached it.

From the image attached, we can see that the path "x" is the hypotenuse path a the triangle.

Thus, we can use pythagoras theorem to find the area. Thus;

x² = 16² + 63²

x = √(16² + 63²)

x = √4225

x = 65 yd

Find the area of the triangle.
7 yd
24 yd
The area is
square yards.

Answers

Answer:

84 yd^2

Step-by-step explanation:

Answer:

½ × 7yd × 24yd = 84yd² <<<<< the answer

1
A. (f = g)(x) = 2 - 4
.
true or false

Answers

Answer:

=-2

Step-by-step explanation:

x=-(4-2)

Answer:

false

hope this helps

-3(1)+(-3)(-1) =
+()]
-3(1) + (-3)(-1)=-3[0]
-3(1)+(-3)(-1) =
_
+(-3)(-1) =
+

Answers

Answer:

³⅜

Step-by-step explanation:

⁴⁵⅖

+⁷⅝×⅖i

I HOPE IT HELP TYSM

Answer:

i dunno

Step-by-step explanation:

the diagonal of a square is 3√2 then find its length​

Answers

hope that this answer helps you.

put the numbers in order from least to greatest.

5 * 10^6

4000000

5 * 10^5

0.6 * 10^7

75 * 10^5

Answers

So if u simplify them all it would be 5000000, 4000000, 500000, 6000000, 7500000 so it would be least is 500000, 4000000, 5000000, 6000000, and 75000000 being the greatest... I hope this helps uuuu! :)

Find the value of x. Will give brainliest

Answers

Answer:

x = 11

Step-by-step explanation:

Angle CAB = 33 degrees (Z-figure)

Angle ACE = 180 degrees (line), therefore angle ACB = 180 - 5x.

Sum of all angles in the triangle should equate to 180 degrees.

Now the sum is of all angles in triangle ABC is:

CAB + ABC + ACB = 33 + (180 - 5x) + 2x = 213 - 3x

So 213 - 3x should equal 180.

213 - 3x = 180 <=> -3x = -33 <=> x = 11

What is the least common multiple of the two denominators 6/8, 4/32

Answers

Answer:

32

Step-by-step explanation:

I just want ppl to check, extra points too!

Answers

Answer:

thats correct

Step-by-step explanation:

i had that on my test and i ot it right

Solve (10b+7b^2-6b^3)-(12b^2-3b^3)

Answers

Answer:

-3b³ - 5b² + 10b

General Formulas and Concepts:

Pre-Algebra

Distributive Property

Algebra I

Combining Like Terms

Step-by-step explanation:

Step 1: Define Expression

(10b + 7b² - 6b³) - (12b² - 3b³)

Step 2: Simplify

Distribute negative:                   10b + 7b² - 6b³ - 12b² + 3b³Combine like terms (b³):            -3b³ + 10b + 7b² - 12b²Combine like terms (b²):            -3b³ - 5b² + 10b

Ramon earns $1,785 each month and pays $53.80 on electricity. To the nearest tenth of a percent, what percent of Ramon's earnings are spent on electricity each month?

Answers

Answer:

3.0%

Step-by-step explanation:

[tex](\frac{53.80}{1785}) * 100 = 3.01[/tex]

help please, I need help

Answers

Answer:

1. <

2. <

3. >

Step-by-step explanation:

-8 is smaller than 8

the absolute value of -4 is 4, but there is another minus, so it becomes -4.  -4 is smaller than -2

-7 is bigger than -9

Answer:

Step-by-step explanation:

-8 < |8|

-|-4| < -2

-7 > -9

absolute value has the || sign around the number. If you see that, and there's a "minus" sign, then reverse it to a PLUS sign. Because absolute value is just how far away the number is to 0. So -8 is "8" to 0.

now if we have for example, -|-4| then it'd be -4 because |-4| is 4, but then -4 again cause there's a minus sign.

Write an equation of the line below ​

Answers

Answer:

ok.

Step-by-step explanation:

y=-1/1x+4. hope this helped :))

Answer: y= -8/8x + 4

or y=-x+4

Step-by-step explanation:

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