Find the length of YZ.

Find The Length Of YZ.

Answers

Answer 1

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The triangle is right-angle so we are allowed to use the Pythagorean theorem.

According to the Pythagorean theorem :

[tex] ({XZ})^{2} = ({XY})^{2} + ({YZ})^{2} [/tex]

[tex] {65}^{2} = {56}^{2} + ( {YZ})^{2} [/tex]

[tex] {65}^{2} - {56}^{2} = ({YZ})^{2} [/tex]

[tex]( {YZ})^{2} = 1089[/tex]

[tex]YZ = \sqrt{1089} [/tex]

[tex]YZ = 33[/tex]

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Related Questions

A photographer for sells photographs for $20 each an art show he spent 185 to print the photographs and made a profit of 55 at the art show what is the equation

Answers

Answer:

260

Step-by-step explanation:

Solve
4x - 9 = 6 - x

Answers

Answer:

x = 3

Step-by-step explanation:

The solution to the equation 4x - 9 = 6 - x is x = 1.2 in the decimal form.

Given Equation:

4x - 9 = 6 - x

Add both side x of the equation

4x - 9 +x = 6 - x + x

5x = 6

Now, divide both side by 6 gives

5x/ 5 = 6/5

x = 1.2

Thus, the value of x is 1.2.

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The tens digit of a two-digit number is five more than the units digit. Seven times the sum of the digits of this number is 3 less than the number itself. Find the number.

Answers

Answer:

43

Step-by-step explanation:

Let

The unit digit = x

The tens digit = y

The number = 10x + y

The tens digit of a two-digit number is five more than the units digit.

y = x + 5

Seven times the sum of the digits of this number is 3 less than the number itself.

7(x + y) = 10x + y - 3

7x + 7y = 10x + y - 3

Find the number.

We substitute x + 5 for y

7x + 7(x + 5) = 10x + (x + 5) - 3

7x + 7x + 35 = 10x + x + 5x - 3

14x + 35 = 11x + 5x - 3

Collect like terms

35 + 3 = 11x + 5x -14x

38 = 16x - 14x

38 = 2x

x = 38/2

x = 19

Solving for y

y = x + 5

y = 19 + 5

y = 24

The number = 19 + 24

= 43

Answer:

The correct answer is 94

Step-by-step explanation:

Arrange the decimals from least to greatest. Choose the letter below that shows the order least to greatest.

5.00 0.55 0.005 5.005 5.5

0.55, 0.005, 5.00, 5.5, 5.005

0.005, 0.55, 5.00, 5.005, 5.5

0.005, 5.00, 0.55, 5.005, 5.5

Answers

Answer:

ima guess 3

Step-by-step explanation:

Answer:

the 3rd one

Step-by-step explanation:

0.005, 0.55, 5.00, 5.005, 5.5

brainlyest?

Someone please help me answer this question ​please and thank you.​

Answers

Students collect cards with equivalent mathematical or verbal expressions on them to make books of cards.  A book is a group of 3 or 4 cards with either equivalent mathematical expressions or equivalent verbal expressions on them. When a player has at least 3 matching cards, he/she may lay down the book of cards.  The object of the game is to be the first to get rid of all the cards in your hand.

 

Preparation:  The teacher should print enough decks of cards so that one deck per group of 4 students can be distributed.

Shuffle the cards and deal out 7 cards to each player.  Place the remaining cards in a pile (the draw pile) in the center of the table.  Turn one card over to create the discard pile.

On his/her turn, each player will:

Either draw a card from the draw pile OR pick up the top card of the discard pile.  (A player may only pick up the top card of the discard pile if by doing so it creates a book that the player can lay down immediately or it is a card that can be added to an existing book on the table.) 

The player then examines his/her hand to see if there are any sets of three or four that can be laid down. If so, the cards are laid down on the table face up.

If the player does not have any groups to lay down, he/she may lay down a single card if that card can be added to another player’s book that has been laid on the table previously. 

If the player can not put down a book or a single card to add to an existing book, then the player’s turn is over.

At the end of each turn the player must place a card on the discard pile.  If this is the last card in his/her hand, then he/she is the winner!

Play moves to the left in a similar fashion until all the cars have been played or no other cards remain to be drawn and no player can go out.  At that point, the player with the least number of cards in his/her hand is the winner.

Variation:

Students collect cards to make books but can only add a card to a book they have placed on the table themselves.  At the end of the game, the player with the most books is the winner.

Help me with this one

Answers

Answer:

SSS

Step-by-step explanation:

We can see that 2 sides are equal already, and because they share a side, that side is also equal. So, side side side.

If you go shopping and a pair of jeans cost $50.00 but they are on sale for 50% off or 1/2 off what is the price of the jeans

Answers

Answer:

$25

Step-by-step explanation:

you just subtract 25 from 50 since 25 is half of 50.

You divide 50 by 2 so it can be half priced..
50/2
=25

What is the slope of x=3y+9 and why?

Answers

1/3 is the slope. When you rearrange the equation to be in y=mx+b form, you would subtract 9 and divide by three. x divided by 3 is equal to 1/3 x, so that would be the slope

HELP!! ANSWER FIND THE DOMAIN AND RANGE

Answers

Answer:

The 3rd option

Step-by-step explanation:

Lmk if you need me to explain

I really need help on this question

Answers

Answer:

B

Step-by-step explanation:

y = [tex]\frac{1}{4}[/tex] is the equation of a horizontal line, parallel to the x- axis.

A line perpendicular to it will be a vertical line parallel to the y- axis with equation

x = c

where c is the value of the x- coordinates the line passes through.

The line passes through (- 6, - 9) with x- coordinate - 6, thus

x = - 6 ← is the equation of the perpendicular line

What is the length of BC in the right triangle below? B 18 A с 80
A. 1512
B. 98
C. 82
D. 3624
E. 6724
F. 14​

Answers

Answer:

c

Step-by-step explanation:

cc

The length of BC in the right triangle is 82 units

What is Trigonometry?

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

From the given triangle the line segment AB is 18 units

AC is 80 units

We have to find BC

By using pythagoras theorem we find the length of segment BC

BC²=AB²+AC²

BC²=18²+80²

BC²=324+6400

=6724

BC=√6724

BC=82

Hence, the length of BC in the right triangle is 82 units

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The midpoint of AB is M(-2, 5). If the coordinates of A are (1, 7), what are the coordinates of B?

Answers

Answer:

(-5, 3)

Step-by-step explanation:

The midpoint formula: [tex](\frac{x_1 + x_2}{2} , \frac{y_1 + y_2}{2})[/tex]

Now, if we work backwards, starting with the x-coordinate

-2 * 2 = -4 - 1 = -5

Then, the y-coordinate

5 * 2 = 10 - 7 = 3

We reach our answer of (-5, 3). A good habit would be to plug these points back into the formula to check if your answer is correct.

What is the domain of the function f(x) = 2/5√x ?

all real numbers
all real numbers less than 0
all real number less than or equal to 0
all real numbers greater than or equal to 0

Answers

Answer:

D: All real numbers greater than or equal to 0.

Step-by-step explanation:

Answer:

the answer is D

Step-by-step explanation:

just took the test

Calculate the rise and run to find the slope of each line

Answers

Answer:

Step-by-step explanation:10

Answer:

1) slope m=-4

2) slope m=-5/4

3) slope m=1

4) slope m=-2

5) slope m=3/5

6) slope m=5/8

Step-by-step explanation:

Slope equation: m=y2-y1/x2-x1

With our slope equation can get just use the graph and choose two points that the line crosses over.

Question 1 example) I chose points (0,-3) as my x1, y1, and point (1,-1) as my x2, y2. I plugged the numbers into the equation and got -1-3/1-0=-4. Which is why our slope is -4

The rest of the questions follow the same concept of Finding two points, decide which one is your x1, y1 and which one is you x2, y2 (does not matter which one you associate with each point), plug the numbers in, and calculate the slope.

(I may be wrong because the graph is a little blurry)

Hope this helps you

Ixl!!! Help please lol?

Answers

Answer:

No am I right?

Step-by-step explanation:

I can't really explain why but I'm pretty sure it's no

Answer:

yes i think

Step-by-step explanation:

Even though all sides are not congruent a square can be a rectangle.

PLEASE HELP!! 15 Points for CORRECT ANSWER ( nOT POINT D) THANK YOU AND BRAINLIEST

Answers

Answer:hmm I think point d

I’m not to sure ✨

Step-by-step explanation:

Answer:

I think its point E it would make the most sense

Step-by-step explanation:

I'm pretty sure in in the same plane and A,C,G

Use the Distance Formula to write an equation of the parabola with directrix y=7 and focus (0,−7).

Answers

Answer:

Step-by-step explanation:

Find the Parabola with Focus (7,0) and Directrix x=-7 (7,0) x=-7. (7,0) ( 7 , 0 ) x=−7 x = - 7. Since the directrix is horizontal, use the equation of a parabola that opens left or right. ... Find the distance from the focus to the vertex. ... Substitute in the known values for the variables into the equation (y−k)2=4p(x−h) ( y - k ) 2 = 4 p ...

Using the distance formula, the equation of a parabola with directrix y=7 and focus (0,−7) is   [tex]x^2 = -28y[/tex]

The focus = (0, -7)

The directrix:  y  =  7

The distance formula is given as:

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

From the focus (0, -7)

a = 0,  b = -7

r  =  y - 7

Substitute a = 0, b = -7 and r = y - 7 into the equation above:

[tex](x - 0)^2 + (y +7)^2 = (y - 7)^2\\\\x^2 + y^2+14y + 49= y^2-14y+49\\\\x^2 = y^2-y^2-14y-14y+49-49\\\\x^2 = -28y[/tex]

Using the distance formula, the equation of a parabola with directrix y=7 and focus (0,−7) is [tex]x^2 = -28y[/tex]

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-0.2 + 7/10 Enter the answer as an exact decimal or simplified fraction.

Answers

Answer:

.5 or 1/2

Step-by-step explanation:

PLEASE HELP I NEED THIS TODAY!!​

Answers

Answer:

The area is 200.96 in^2

Step-by-step explanation:

Answer:

200.96 in^2

Step-by-step explanation:

circle area formula is πr^2

radius = diameter / 2, radius is 8

8^2.π  = 64π  

π  = 3,14

final answer is 64 X 3.14= 200.96 in^2

A company rents bikes. The price, p, in dollars, to rent a bike for h hours can be
found using the formula p(n)= 14 + 3h. What is the price to rent a bike for
5 hours?

Answers

Answer: 29$

You have to replace h by 5 because we need to know the price for 5hours then you just add everything . I wish it helped you :)

The price to rent a bike for 5 hours by using the equation p(h)= 14 + 3h will be $29.

What is the solution to the equation?

The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.

Making anything easier to accomplish or comprehend, as well as making it less difficult, is the definition of simplification.

A company rents bikes. The price, p, in dollars, to rent a bike for h hours can be found using the formula p(h)= 14 + 3h.

Then the price to rent a bike for 5 hours will be given as,

p(5) = 14 + 3(5)

Simplify the equation, then we have

p(5) = 14 + 15

p(5) = 29

The price to rent a bike for 5 hours will be $29.

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What is k? (look at the attached photo for the problem, thank you!!)

Answers

the solution for k would be 12

Daniel has $125 in his bank account. He saves $40 each week from his allowance. He needs a total of $600 in order to buy a PS5. Complete the equation, and determine how many weeks it will take him to save up enough money.

Answers

[tex] \LARGE{ \underline{\underline{ \tt{Required \: answer:}}}}[/tex]

We have,

Initial amount = $125 (Constant)Per week savings = $40Amount to be collected for buying a PS5 = $600

What to do?

We need to frame an equation with variable determining the no. of weeks it will take him to save up the money.

Here's how to do?

Let the no. of weeks be x. Then,

Amount collected by savings = $40x

So, The equation will be:

➝ 125 + 40x = 600

Note:

Don't forget to add the unit i.e. dollars '$' here.

Which pair of complex numbers has a real-number product?
(1 + 31 (6)
(1 + 3)(2-31)
(1 + 3)(1 – 31)
0 (1 + 3/)(31)

Answers

Answer: C. (1 + 3i)(1 - 3i)

Step-by-step explanation:

Took the test on edgnuity

Answer:

The person ontop is correct! It is C.

Express as a trinomial, .
(2x - 1)(3x– 4)

Answers

Answer:

6x2-11x+4

..........

2. Michael bought a sandwich that cost $4.69, a bag of chips that cost $1.99
and an iced tea for $2.50. How much did he spend in all? *
A. 7.19
B. 4.49
C. 6.68
D. 9.18

Answers

Answer:

9.18

Step-by-step explanation:

4.69

1.99

+2.50

9.18

if u guys can do this it will be awsome​

Answers

uh?

Step-by-step explanation:

sooo what am i gonna do??

Answer:

Your basically supposed to color the parts based on the answering the 8 questions on your paper.

If you do not have an questions, then just color according to the numbers.

BTW I see the word "MATH" hidden.

I need help lol....​

Answers

The slope is 3/2x

Can you mark me brainleist
It’s so easy it’s 3/2x pls mark me as brainliest plssssss I’ll give u 30 points

−5x+13y=−7
5x+4y=24

x=
y=

Answers

Answer:

Using eliminating method then adding equation 1 and 2 give

X= 4and y =1

Solve: -68.1 * 0.8
A) -54.48
B) 68.9
C) 54.48
D) -68.9

Answers

Answer:

A) - 54.48

Step-by-step explanation:

Just plug it into the calculator like this;  (-68.1) x 0.8, which equals -54.48.

the answer is negative because you multiplied a positive # and a negative #.

At Summer camp, campers are divided into groups. Each group has 16 campers and 2 cabins. How many cabins are needed are needed for 48 campers? A: 14 B: 20 C: 6 D: 30

Answers

Answer:

6

Step-by-step explanation:

At summer camp campers are divided into groups

Each group has 16 campers and 2 cabins

Therefore the number of cabins needed for 48 campers can be calculated as follows

16 campers = 2 cabins

48 campers = x

Cross multiply

16 × x = 48×2

16x =96

x= 96/16

x= 6

Hence 6 cabins are needed for 24 campers

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