Triangle XY Z is similar to triangle ABC.
Solve for k.
ka
X
4.5
4
z
Y
3
B
12

[tex]\qquad\qquad\huge\underline{\boxed{\sf Answer}}[/tex]

Let's solve ~ ☂

[tex]\qquad \sf  \dashrightarrow \: {x}^{2} + 4x - 77[/tex]

[tex]\qquad \sf  \dashrightarrow \: {x}^{2} + 11x - 7x - 77[/tex]

[tex]\qquad \sf  \dashrightarrow \: {x}^{} (x + 11) -7(x + 11)[/tex]

[tex]\qquad \sf  \dashrightarrow \: {}^{} (x + 11)(x - 7)[/tex]

Answer:

x = 7

x = -11

Step-by-step explanation:

x² + 4x = 77​

Complete the square to make it a square of a binomial

x² + 4x + 4 = 77 + 4

(x+2)² = 81

Square root both sides (two solutions)

x + 2 = 9

x = 7

x + 2 = -9

x = -11

Hope this helps :)

Have a nice day!

Answer:

12$

Step-by-step explanation:

he worked from 1:45-4:45 wich means he worked 3 hours,then 3 hours *4$ =12$

Answer:

12 dollars

Step-by-step explanation:

Hello!
To solve this question, we understand that:
- the rate at which he earns money is 4 dollars an hour.

-if we find how many hours elapsed between 1:45pm-4:45pm, it is three hours which means he has worked for three hours
(4:45pm-1:45pm=3:00 hours)

Knowing this equation, we must figure out how much he earns during this time frame, 3 hours.

Since we know that the rate is 4 dollars an hour and he has worked 3 hours, let's multiply 4 times 3 (or add 4 three times 4+4+4) to get 12 dollars he has worked during this time.

Answer:

1,000

Step-by-step explanation:

Answer:

$12

Step-by-step explanation:

$86-$14 = $72 that you have left for the 6 puzzles

72÷6 = 12

Answer:

216

Step-by-step explanation:

First, multiply 0.6 by 10

The answer is 6

The multiply 6 to the third power.

6 · 6 · 6 = 216

Hope I helped :)

Please consider Brainliest :)

Answer:

∠ CDE = 134°

Step-by-step explanation:

the sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

here n = 6 , then

sum = 180° × 4 = 720°

let ∠ BCD = x then ∠ CDE = 2x

sum the angles and equate to 720

121 + 144 + 129 + 125 + x + 2x = 720 , that is

519 + 3x = 720 ( subtract 519 from both sides )

3x = 201 ( divide both sides by 3 )

x = 67

Then

∠ CDE = 2x = 2 × 67 = 134°

Step-by-step explanation:

I believe we are expected to solve for the number of lawns she would mow before she could make profit

let the cost be C

and let the price be P

and let the number of lawn be x

C=$450----------1

P=6+20x---------2

equating 1 and 2 we can find x

450=6+20x

450-6=20x

444=20x

x=444/20

x=22.2

therefore for her to break even and start making profit she need to mow 22.2 lawns and above

Answer:

x=3

Step-by-step explanation:

plug it into the equation and see if it's correct

Answer:

42.95

Step-by-step explanation:

We just reverse the steps. So we take 92.9 and subtract by 7 to get 85.9. Then we divide that number by 2. So we get 42.95. To check our work, we can use this number and follow the steps Sara did. So 42.95*2=85.9+7=92.9

The original number that Sara was thinking of is 42.95.

A number system is defined as a way to represent numbers on the number line using a set of symbols and approaches. These symbols, which are known as digits, are numbered 0 through 9.

Let's represent the original number "x".

According to the question, we know that:

x × 2 + 7 = 92.9

To determine the original number, we'll want to undo the operations that were done to it.

First, we'll subtract 7 from both sides to undo the addition:

x × 2 = 92.9 - 7

x × 2 = 85.9

Then, we'll divide both sides by 2 to undo the doubling:

x = 85.9 / 2

x = 42.95

Therefore, the original number that she was thinking of is 42.95.

Learn more about the number system here:

https://brainly.com/question/21751836

#SPJ2

Step-by-step explanation:

Given the function that models the income of a family as g(X) = ax+b

at x = 0, g(x) = 42000, the function becomes;

g(X) = ax+b

42000 = a(0)+b

42000 = 0+b

b = 42000

at x = 1, g(x) = 56256

56256 = a(1) + b

56256 = a+b

a = 56256 -b

a = 56256 - 42000

a = 14,256

To get the average family income in 1997, wee need to calculate g(x) at when x = 5, since the number of years between 1992 and 1997 is 5years.

g(x) = ax+b

g(5) = 14256(5) + 42000

g(5) = 71,280+42000

g(5) = 113,280

Hence the average family income in 1997 is 113,280

Answer:

[tex](x+10)^2+(y+6)^2=121[/tex]

Step-by-step explanation:

The standard form of a circle's equation is

[tex](x-h)^2 + (y-k)^2 = r^2[/tex]

Where (h,k) is the center and r is the radius of the circle.

The equation is given in general form, we need to convert it to the standard form. This can be done by completing squares.

The equation is:

[tex]x^2+y^2+20x+12y+15=0[/tex]

Rearrange x's and y's separate:

[tex]x^2+20x+y^2+12y=-15[/tex]

We have also subtracted 15. Now to complete squares, recall the formula:

[tex](a+b)^2=a^2+2ab+b^2[/tex]

The first two terms are equivalent to the first two terms of the above formula. It's clear that the second term is 2ab=20x. Solving for b:

b=10. Thus, to complete the square, we add 100 to the equation.

The third and fourth terms can also be used to complete the squares for y, knowing that 2ab=12y. In this case:

b=6. To complete this square, we add 36. The equation is now:

[tex](x^2+20x+100)+(y^2+12y+36)=-15+100+36=121[/tex]

Operating and simplifying, knowing that 121=11^2:

[tex]\boxed{\mathbf{(x+10)^2+(y+6)^2=121}}[/tex]

This corresponds to the first choice

Answer:

The answer is "21"

Step-by-step explanation:

mn + 3r

m = 5

n = 4

r = 1/3

Now just substitute the values given in the question into the equation

5(4) + 3(1/3)

Multiply 5 and 4 to get 20

20 + 3(1/3)

3(1/3) cancels out and becomes 1

20 + 1

Add 20 and 1

21

So "21" is your answer

Answer:

Option C

Step-by-step explanation:

Given the following question:

[tex]2x+4y=18[/tex]
[tex]-3x+2=y[/tex]

To find the answer we need to find the values of each of the variables by solving one equation at a time, and then substitute those answers into each equation in till we have our answers.

[tex]2x+4y=18[/tex]
[tex]-3x+2=y[/tex]
[tex]y-y=0[/tex]
[tex]-3x+2+ -y=0[/tex]
[tex]2-2=0[/tex]
[tex]-3x+-y=0+-2[/tex]
[tex]-3x+3x=0[/tex]
[tex]-y=3x-2[/tex]
[tex]-y\div-1=y[/tex]
[tex]3x+2\div-1=-3x+2[/tex]
[tex]y=-3x+2[/tex]

Substitute y for -3x + 2:
[tex]2x+4y=18[/tex]
[tex]y=-3x+2[/tex]
[tex]2x+4(-3x+2)=18[/tex]
[tex]2x+4(-3x+2)=18=-10x+8=18[/tex]
[tex]-10x+8=18[/tex]
[tex]8-8=0[/tex]
[tex]18-8=10[/tex]
[tex]-10x=10[/tex]
[tex]-10x\div10=x[/tex]
[tex]10\div-10=-1[/tex]
[tex]x=-1[/tex]

Substitute x for -1:
[tex]y=-3x+2[/tex]
[tex]x=-1[/tex]
[tex]y=-3(-1)+2[/tex]
[tex]-3\times-1=3[/tex]
[tex]y=3+2[/tex]
[tex]3+2=5[/tex]
[tex]y=5[/tex]

[tex]x=-1[/tex]
[tex]y=5[/tex]

Your answer is "(-1, 5)" or option C.

Hope this helps.

Answer:

B

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given the point A (9, 9) and B(7, -1)

The slope of the line AB is expressed as:

slope = Δy/Δx

slope = y2-y1/x2-x1

slope = -1-9/7-9

slope = -10/-2

slope = 5

For two lines to be perpendicular, the product of their slope must be -1

mM = -1

M is the slope of the line perpendicular to AB

Substitute m = 5 into the equation

5M = -1

M = -1/5

Hence the  slope of a line that is perpendicular to the line joining point A and B is -1/5

23y + 50 + 27y = 50y + 50     original equation

50y + 50 = 50y + 50                combine like terms

Because both sides of the equation are the same, meaning they are equal, the equation has INFINITELY MANY SOLUTIONS (y can be any number) .

Answer:

-6+8

Step-by-step explanation:

-6+8=6-(8)

-2=-2

Hoped it helped :)

Answer:

Seat number 140 gets all three treats

Step-by-step explanation:

Given

[tex]Twizzlers = Multiples\ of\ 4[/tex]

[tex]Nachos = Multiples\ of\ 7[/tex]

[tex]Popcorn = Multiples\ of\ 10[/tex]

Required

Determine first person to get all kinds of treats

To do this, we simply need to determine the LCM of the given multiples:

[tex]4 = 1 * 2 * 2[/tex]

[tex]7 = 1 * 7[/tex]

[tex]10 = 1 * 2 * 5[/tex]

[tex]L.C.M = 1 * 2 * 2 * 7 * 5[/tex]

[tex]L.C.M = 140[/tex]

Seat number 140 gets all three treats

Answer:

1.5

Step-by-step explanation:

All the other values are .15, 1.5 does not equal .15, so it is not equivalent.

Hopefully this helps- let me know if you have any questions!

Answer:

1.5

Step-by-step explanation:

3/20 =15% =0.15

1.5 is not equivalent to the other values

The answer to your question is 36

-18 + x(-6)

Substitute x with -9

-18 + (-9) (-6)

Then you get 36

Hey there!

-18 + x(-6)

= -18 + (-9)(-6)

= -18 - 9(-6)

= -18 - (-54)

= -18 + 54
= 36

Therefore, your answer is: 36

REMEMBER!
• Negative & negative = positive

• Positive & positive = positive

• Negative & positive = negative

• Positive & negative = negative

• Negatives are smaller than 0

• Positives are bigger than 0

• Negatives are to the LEFT of 0

• Positives are to the RIGHT of 0

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

24%

Step-by-step explanation:

convert the fraction to decimal then multily by 100

6/25 to decimal is 0.24

0.24 x 100 = 24

Answer:

24%

Step-by-step explanation:

6/25

=0.24

=24%

Answer:

The answer is x = y - 30

Step-by-step explanation:

y=31 and x=1, therefore y-30=x

Answer:

B

Step-by-step explanation:

Answer:

1-70mm

2-77m

Step-by-step explanation:

so to do this, take the first one as an exmple, to find the unknown line on the ground I added 15+8 to find the total on the bottom

still on the first question, to find the unknown number on the side, I subtracted 12-7

I hope this makes any sense, but I dont know

whats important is that you have the answers.

Answer:

5 2/3

Hope this helps! Please mark Brainliest!

Answer:

17/3

Hope this helps!!! :)