Using proportions to solve for missing sides.
RST~YSZ, find YZ.

Using Proportions To Solve For Missing Sides. RST~YSZ, Find YZ.

Answers

Answer 1

Answer:

  YZ = 28

Step-by-step explanation:

A proportion involving the known and unknown sides is ...

  TR/ST = ZY/SZ

__

This proportion uses SZ, which is not shown on the diagram. The length of SZ can be found from ...

  SZ +ZT = ST . . . . . . . segment sum theorem

  SZ + 5 = 40 . . . . with given values

  SZ = 35 . . . . . subtract 5

__

So, the proportion with values filled in is ...

  (3x -7)/40 = (2x +2)/35

  7(3x -7) = 8(2x +2) . . . . . . . multiply by 280

  21x -49 = 16x +16 . . . . . . . eliminate parentheses

  5x = 65 . . . . . . . . . . add 49 -16x

  x = 13 . . . . . . . . divide by 5

  YZ = 2x +2 = 2(13) +2

  YZ = 28

_____

Additional comment

RT = 3x -7 = 3(13) -7 = 32


Related Questions

Please help!!!

John's water bill this month was $19.67. Looking at the water bill, it says he used exactly 10,000 gallons of water. How much does he pay per gallon of water used?

Answers

Answer:

$0.001967/gallon

Step-by-step explanation:

John uses alot of water.... and it sure is cheap.

19.67/10000 =

If you are traveling in your car at an average rate of r miles per hour for T hours, then the distance d in miles that you travel is described by the formula d=rt that is distance equals rate times time. A distance of 60 miles at an average rate of 40 miles per hour is covered in ___ hours?

Answers

Answer:

1.5 hr

Step-by-step explanation:

d = rt

re-arrange to

d/r = t

60 miles  / 40 miles/hr = 1.5 hr  

The diagram represents the factorization of a2+8a+12.

A 2-column table with 2 rows. First column is labeled a with entries a squared, 2 a. Second column is question mark with entries 6 a, 12. First row is labeled a with entries a squared, 6 a. Second row is labeled 2 with entries 2 a, 12.

What is the missing number that will complete the factorization?

6
8
12
24

Answers

Answer:

The answer is 6

Step-by-step explanation:

Answer: 6

Step-by-step explanation: took the quiz

What is a[tex]\frac{1}{3}[/tex] As a ratio?

Answers

Answer

Ratio of 1/3
= 1:3

A, B, C, D are points on a line.
AB = 1
BC = 2
CD = 4

Find the length of segment AD. Consider all possibilities.
So far, I've only gotten 7, 5, and 1. But I know there is one left. Can you guys help?

Answers

The points A, B, C and D are collinear points

The length of the segment AD is 7 units

How to determine the length AD?

The given parameters are:

AB = 1

BC = 2

CD = 4

Because the points are on the same line, then the following is the possible equation

AD = AB + BC + CD

Substitute known values

AD = 1 + 2 + 4

Evaluate the sum

AD = 7

Hence, the length of the segment AD is 7 units

Read more about line segments at:

https://brainly.com/question/14366932

7
.
Marisela wants to create a trophy in the shape of a rectangular
pyramid with volume 0.1875 cubic foot. Complete the descriptions
by writing in the missing measurements. 7.6.6
Design #1: pyramid height = 1.5 ft; base width = 0.75 ft;

Answers

Answer:

Volume of a rectangular pyramid:

[tex]V=\dfrac13lwh[/tex]

where:

[tex]V[/tex] = volume[tex]l[/tex] = length of base[tex]w[/tex] = width of base[tex]h[/tex] = height

Given:

[tex]V[/tex] = 0.1875 ft³[tex]w[/tex] = 0.75 ft[tex]h[/tex] = 1.5 ft

Substitute given values into the formula and solve for [tex]l[/tex]:

[tex]\implies 0.1875=\dfrac13 \cdot l \cdot 0.75 \cdot 1.5[/tex]

[tex]\implies 0.1875=\dfrac{1.125}{3} l[/tex]

[tex]\implies 0.1875=0.375 l[/tex]

[tex]\implies l=\dfrac{0.1875}{0.375}[/tex]

[tex]\implies l=0.5[/tex]

Therefore, the base length is 0.5 ft


Solve the following system of equations algebraically:
x + 5y = -19
3x - y=-9

Answers

Answer:

x= -4, y=-3

Step-by-step explanation:

solving the two equations simultaneously you'll get x to be-4 and y to be -3

x+ 5y= -19

3x-y=-9

multiplying the second equation by5

15x-5y=-45

adding eqn 1 and eqn 3

16x= -64

x= -4

substituting into eqn 2

3(-4)-y= -9

-y= -9+12

-y= 3

y=-3

I hope I can help you:)

Scott has 2 six-sided dice. What is the probability that the sum of the roll is one?

Answers

Answer: 0, it’s not possible to roll 2 dice with the sum ending up being one.

Round your answer to the nearest hundredth.

Answers

Answer:

67.98°

Step-by-step explanation:

Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Also remember to rate answers to help other students, While leaving thanks to answers that help you. Have a great day!

When Tim was 5, he got 20 birthday gifts. When Tim was 13, he got 6 birthday
gifts. (Show your work)
a. What is the percent of change?
b. Is the change an increase or a decrease?

Answers

Answer:

A) 6.66% B) It's a decrease

(Hi! Hope this was helpful. Please tell me if you needed a different answer. Have a great day:)

The other person who answered is correct

I NEED HELP ASAP!!!!!

Answers

1= polynomial
2= not polynomial
3= polynomial
4= polynomial
5= not polynomial
6= polynomial

Please help solve questions

Answers

Take some points

2x+3y<63y<-2x+6y<-2/3x+2

As here < sign present line will be dashed and shading should be done below the line

So

(1,1)(1,0)(2,0)(-1,2)

Graph attached

Answer:

Given inequality

[tex]\sf 2x + 3y < 6[/tex]

Rearrange to make y the subject

[tex]\sf \implies 2x + 3y < 6[/tex]

Subtract 2x from both sides:

[tex]\sf \implies 3y < -2x + 6[/tex]

Divide both sides by 3:

[tex]\sf \implies y < -\dfrac23x + 2[/tex]

When graphing inequalities

If the inequality sign is < or > then the line of the graph should be dashed.

If the inequality sign is ≤ or ≥ then the line of the graph should be solid.

If y < (less than) then the shading is below the line.

If y > (more than) then the shading is above the line.

Therefore, as the inequality is y < the line should be dashed and the shading should be below the dashed line.

To plot the line, substitute x = 0 and x = 3 into the equation:

[tex]\sf \implies -\dfrac23(0) + 2=2[/tex]

[tex]\sf \implies -\dfrac23(3) + 2=0[/tex]

Therefore, plot points (0, 2) and (3, 0).  Draw a dashed straight line through the points.  Shade below the dashed line.

A triangular swimming area is marked off by a rope.
a. If a woman swims around the perimeter of the swimming area, how far will she swim?
b. What is the area of the roped off section?

Answers

Δ perimeter of swimming area:

total length measure of all sides200√3 + 200√6 + 400 + 200( 200√3 + 200√6 + 600 ) m1436.3 m

Δ area of roped off section:

1/2 base * height1/2 * (200+200√3)(200√3)20000√3 + 60000 m²94641 m²

i need the answer pls help pls

Answers

Answer:

B

Step-by-step explanation:

x² - 8x + 97 = 0

the general form to solve such quadratic equations is

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case

a = 1

b = -8

c = 97

so, we get

x = (8 ± sqrt((-8)² - 4×1×97))/(2×1) =

= (8 ± sqrt(64 - 388))/2 = (8 ± sqrt(-324))/2 =

= (8 ± sqrt(324×-1))/2 = (8 ± 18×i)/2 = 4 ± 9i

A mother decides to teach her son about a letter each day of the week. She will choose a letter from the name of the day. For example, on Saturday she
might teach about the letter S or the letter U, but not the letter M.
Sunday
Monday
Tuesday
Wednesday
Thursday
Friday
Saturday
What letters are CANT BE TAUGHT using this method? (There are 11.)
ОА
OB
Ос
OD
ОЕ
OF
OH
01

Answers

Answer:

01 she can teach alphabet using seven days name but not numbers.

Mr. Andade had supply bag with three mechanical pencils, four blue pens, and five black pens. If he selects a writing utensil without looking, what is the probability he will select a mechanical pencil?

Answers

Answer:

1/6

Step-by-step explanation:

The sum of all writing utensils are 3+4+5 = 12,

Therefore the probability he will select a mechanical pencil is 3/12 or 1/4.

.

.

.

.

.

.

.

.

For additional info,

Probability of selecting a blue pen and black pen respectively is 4/12 or 1/3 and 5/12.

Please help me thank you so much!

Answers

Answer: the third one

Step-by-step explanation: how i know by guessing

You buy x bags of chips for $.75 per bag. How much do you spend on chips.

Answers

Answer:

Step-by-step explanation:

Equation

Cost = 0.75 * x

The answer is Cost = 0.75 * x

PLEASE ONLY ANSWER B. (GIVING BRAINLIEST THANKS)

Answers

Answer:

[tex][7\times(-2)]^5 = 7^5 \times (-2)^5[/tex]

Step-by-step explanation:

Pls answerrrrrrrrrrrrrrrrrrrrrr

Answers

Answer:

13

Step-by-step explanation:

the two lines with y in them are the same length

6y = y+65

5y = 65

y = 13

Please help as fast as possible

Answers

[tex]\rm Answer:[/tex]

20.125%

To find the relative frequency, divide the frequency(f) by the total number of data values (n).

[tex]\rm \# KiroToshiroComeback[/tex]

A club swimming pool is 22 ft wide and 44 ft long. The club
members want an exposed aggregate border in a strip of
uniform width around the pool. They have enough material for
432 ft squared. How wide can the strip be?

Answers

Answer:

968 is what they need and no they do not enough material

Step-by-step explanation:

What I always do on these questions is length times width and they need 536 more material

Find the surface area of the triangular prism.

A triangular prism. The base has sides of 17 meters, 17 meters, and 16 meters. The height of the prism is 10 meters. Apothem goes from the base vertex to the midpoint of the base edge, 16 meters, and measures 15 meters.

The surface area is
square meters.

Answers

980 square meters is the total

When a is greater than one the parabola ___

Answers

Answer:

parabola is open upwards

Keisha is jogging from her house to school. Her school is 4 1/2 miles from her house. She has gone 3/8 miles so far. How many miles does Keisha still have to jog?

Answers

Answer:
4.125 miles still to jog

Explanation:
Check out the work I’ve attach

Hope it helps, Let me know if you have any other questions!
Have a nice rest do your day :)

Which of the following functions is equal to f(x)=csc(x-9pi)+2 ? Select 3 answers

Answers

B. f(x) = csc(x - pie ) + 2 = - csc(x) + 2

C. f(x) = - csc(x - 2pie) + 2 = - csc(x) + 2

F. f(x) = - sec(x - 9pie/2 ) + 2 = - sec( x - 4pie - pie/2 ) + 2

= - sec(x - pie/2) + 2 = - csc(x) + 2

can someone please help me out with this logarithm equation

Answers

[tex] \green{ - - - - - - - - - - - - - - - - - - }[/tex]

•— QUESTIONLogarithmic equation : log2 + log x = 1•— ANSWERThe answer is x = 5•— SOLUTIONlog¹⁰2+ log¹⁰ x = 1x >0log¹⁰2 + log¹⁰ x = 12x = 10[tex] \times \frac{10}{2} [/tex]x = 5

Therefore, the answer is x = 5

[tex] \green{ - - - - - - - - - - - - - - - - - - }[/tex]

[tex]3\sqrt{x} 6-4\sqrt{x} 6[/tex]




i need help with this problem this is radicals can you please explain to me how to do this it would be very helpful

Answers

- radical x6

Due to radicals being the same you just subtract the values of (3-4) given us -1

Express the difference between 0.35 and 2/5 as a decimal​

Answers

Answer:

0.05

Explanation:

2/5 is as a decimal, 0.4
The difference between them is 0.05

Help picture below problem 13

Answers

Answer:

B. Obtuse

Step-by-step explanation:

An obtuse angle is defined as one that extends beyond 90 degrees. An acute angle is defined as one that is less than 90 degrees. A right angle is one that is 90 degrees.

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