Find the values of x and y in the picture. Express answers in simplest radical form. (square root form)

Find The Values Of X And Y In The Picture. Express Answers In Simplest Radical Form. (square Root Form)

Answers

Answer 1

Answers:

x = 8

y = 15*sqrt(2)

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

Explanation:

This is a 45-45-90 triangle. The right triangle is isosceles.

This means the two legs 3x-9 and x+7 are the same length

3x-9 = x+7

3x-x = 7+9

2x = 16

x = 16/2

x = 8

If x = 8, then each leg is...

3x-9 = 3(8)-9 = 24-9 = 15

x+7 = 8+7 = 15

Each leg is 15 units long to help confirm we have the correct x value.

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

The hypotenuse y is exactly sqrt(2) times that of the leg length.

Therefore, y = 15*sqrt(2) since earlier we found each leg is 15 units long.

15*sqrt(2) = 21.213 approximately


Related Questions

what is the soultion 3-6x = 9-6x

Answers

Answer:

x=-6

Step-by-step explanation:

3-9= -6x+6x

x=-6

ans=-6

What type of number is
5
6
A) rational
B) irrational
C) integer
D) whole

Answers

Answer:

whole number if you can pick more choices it would be A, C, and D

hope this helps

have a good day :)

Step-by-step explanation:

Does anyone understand? Need help asap

Answers

Answer:

it's 149.(54)=7

Step-by-step explanation:

that's the answer

If you start with $1000 and invest it in account that pays 3% interest compounded once a year. How much
money will you have in 10 years? (Show your equation)

Answers

Answer:

[tex]A = P(1 + \frac{r}{n} )^{nt}\\\\P = 1000\\r = 3\% = \frac{3}{00} = 0.03\\n = 1\\t = 10\\\\A = 1000( 1 + \frac{0.03}{1} )^{10}= 1000(1.03)^{10} =\$1343.92[/tex]

Find the equation of the line passing through the point (-2,5)
that is perpendicular to the line 6x + 2y = 8.

Answers

Answer:

y = 1/3x + 17/3

Step-by-step explanation:

6x + 2y = 8

2y = -6x + 8

y = -3x + 4

y = 1/3x + b

5 = 1/3(-2) + b

5 = -2/3 + b

17/3

The school cafeteria sells two kinds of wraps: vegetarian and chicken. The vegetarian wrap costs $1.00 and the chicken wrap costs $2.70. Today they made $244.60 from the 146 wraps sold. How many of the wraps sold were vegetarian?

Answers

Answer:

88 Vegetarian Wraps Sold.

Step-by-step explanation:

This is a System of Equations Problem.

Your Two Systems Are:

v(1)+c(2.7)=244.6 and c+v=146

c = chicken wraps and v = vegetarian wraps

Each chicken wrap costs $2.70 (2.7). Put the variable of c next to (2.7) meaning to multiply.

Each vegetarian wrap costs $1 (1). Put the variable of v next to (1)

244.60 (244.6) is the total amount of money made from selling the wraps. This will be the total of the equation.

v(1)+c(2.7)=244.6

Solve 2.7c+v=244.6 for v.

Add -2.7c to both sides.

2.7c+v+−2.7c=244.6+−2.7c

v=−2.7c+244.6

Substitute −2.7c+244.6 for v in c+v=146.

c+v=146

c+−2.7c+244.6=146

Simplify both sides of the equation.

−1.7c+244.6=146

Add -244.6 to both sides.

−1.7c+244.6+−244.6=146+−244.6

−1.7c=−98.6

Divide both sides by -1.7.

[tex]\frac{-1.7c}{-1.7} =\frac{-98.6}{-1.7}[/tex]

c=58

Substitute 58 for c in v=−2.7c+244.6.

v=−2.7c+244.6

v=(−2.7)(58)+244.6

Simplify both sides of the equation.

v=88

Answer:

c=58 and v=88

88 vegetarian wraps were sold.

You randomly roll a number cube (single die).

What is the probability that you roll a 4.

Group of answer choices

2/3

6

1/6

4/5

Answers

Answer:

The probability that you will roll a 4 is 1/6

Step-by-step explanation:

A basic number cube has 6 sides.

Each side is marked by one of the numbers: 1, 2, 3, 4, 5, 6

The 4 is only on one out 6 of the sides so it is 1/6 probability

Please considering pressing the thank you button if it helped.

Which of the following is equivalent to the expression below?
(– 3m + 5) + (m – 11)

A: – 2m – 6
B: 2m – 16
C: 4m – 16
D: – 4m – 6

Answers

Answer:

B

Step-by-step explanation:

Find the measure of the arc or angle indicated

Answers

angle sjjsjwjsjsjsjjsjs

sadie travels through two intersections with traffic lights as she drives to work. The traffic lights operate inependently. The probability that both lights will be red when she reaches them is 0.22. The probability that the first light will be rerd and the second light will not be red is 0.33. what is the probability that the second light will be red when she reaches it

Answers

Answer:

The probability that the second light will be red when she reaches it is 0.4

Step-by-step explanation:

Given the two events are independent

Hence, the probability of both the red light is (P1) * (P2) = 0.22

The probability of first light being red = probability of both the intersections to have red light + probability that the first light will be rerd and the second light will not be red

probability of first light being red =  0.22 + 0.33 = 0.55

(P1) * (P2) = 0.22

Substituting the given values, we get -

0.55 * P2 = 0.22

P2 = 0.4

Please help me on this problem

Answers

Answer:

The answer would be 20 mi

Step-by-step explanation:

a^2+b^2=c^2

a^2=144

b^2=256

C^2=400

Then you find the square root of ABC to find that C is 20

Solve for x Show your work

Answers

Answer:

x = 12

Step-by-step explanation:

To solve this and show your work, you have to start of with the equation (3x - 6) = 30.

You then have to add 6 to both sides like this:

[tex](3x - 6) = 30 \\ \: \: \: \: \: \: \: \: \: \: + 6 \: \: \: \: \: + 6 [/tex]

So then the 6 is cancelled out, and you are left with

3x = 36.

Now you just have to divide both sides by 3 like this:

[tex] \frac{3x}{3} = \frac{36}{3} [/tex]

Which cancels 3 out, and you are left with

x = 12.

Which type of line of symmetry does the figure have?​

Answers

I Hope this helps!!!!!

Write an equation of the line with slope -1 passing through (8,5).

Answers

Answer:

y = -1x + 13

Step-by-step explanation:

y = -1x + b

5 = -1(8) + b

5 = -8 + b

13 = b

You want to buy a new HD TV for $454.95. The salesperson says if you buy the weekend of Father's day you can get a 15% discount. Find the following.

The Discount = enter how much you will save, not the percentage.

Price after Discount =

Sales Tax = (Use a sales tax of 8.25%)

Total Cost =

Answers

Answer:

See below.

Step-by-step explanation:

454.95x.15=68.24 DISCOUNT

454.95-68.24=386.71 Price After Discount

386.71x.0825=31.91 Sales Tax

386.71+31.91=418.62 Total Cost

Line t intersects line u, as shown below.
11
(2x +17)
125°
What is the value of x?
A 54
B
71
С
108
125

Answers

9514 1404 393

Answer:

  A.  54

Step-by-step explanation:

The two marked angles are "vertical angles," so are congruent.

  125° = (2x +17)°

  108 = 2x . . . . . . . . divide by °, subtract 17

  54 = x . . . . . . . . . . divide by 2

Answer:

x=54

Step-by-step explanation:

2x+17 will be kept equal to 125

so 2x+17=125

    2x=125-17

    2x=108

    x=[tex]\frac{108}{2}[/tex]

    x=54 ans

Find the value of x
I give you 10 points if you help

Answers

Step-by-step explanation:

x = 55

I hope this is helpful

hi pls help i’ll give brainliest

Answers

Answer:

B if I remember correctly.

In order to solve by completing the square, what value needs to be added to both sides of the equation:

Answers

Answer:

The answer is "[tex](x + 8)^2 = 58[/tex]"

Step-by-step explanation:

Let the equation is:[tex]x^2+16x=-6[/tex]

by adding and subtracting 64 then:

[tex]x^2 + 16x + 64 = -6 + 64\\\\x^2 + 2\times x\times 8 + 64 = -6 + 64\\\\ (x + 8)(x + 8) = 58\\\\ (x + 8)2 = 58[/tex]

What is the equation of the line that passes through (3.-1) and is parallel to the line y = 3x + 2?​

Answers

Answer:

[tex]y=3x-10[/tex]

Step-by-step explanation:

Hi there!

What we need to know:

Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)Parallel lines always have the same slope and different y-intercepts

1) Determine the slope (m)

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

From the given line, we can identify clearly that 3 is in the place of m, making it the slope. Because parallel lines have the same slope, the line we're solving for will also have a slope of 3. Plug this into [tex]y=mx+b[/tex]:

[tex]y=3x+b[/tex]

2) Determine the y-intercept (b)

[tex]y=3x+b[/tex]

Plug in the given point (3,-1)

[tex]-1=3(3)+b\\-1=9+b[/tex]

Subtract 9 from both sides

[tex]-1-9=9+b-9\\-10=b[/tex]

Therefore, the y-intercept of the line is -10. Plug this back into [tex]y=3x+b[/tex]:

[tex]y=3x-10[/tex]

I hope this helps!

Find the value of x, when log 10x + log 2 = log 60

Answers

Answer:

x = 3

Step-by-step explanation:

log 10x + log 2 = log 60

Subtract log 2 from each side

log 10x + log 2 -log 2 = log 60 - log 2

log 10x  = log 60 - log 2

We know  that log a - log b = log (a/b)

log 10 x = log (60/2)

log 10x  = log 30

We know log a = log b  that a = b

10x = 30

Divide by 10

10x/10 = 30/10

x =3

One ticket to a show costs $20 at full price. Susan buys 4 tickets using a coupon that gives her 25% discount.

Answers

Answer: [tex]\$60[/tex]

Step-by-step explanation:

Given

One ticket costs $20

Susan buys 4 tickets with 25% discount

Cost of 4 tickets is [tex]4\times 20=\$80[/tex]

On applying discount, it costs

[tex]\Rightarrow 80-80\times 0.25\\\Rightarrow 80(1-0.25)\\\Rightarrow 80\times 0.75=\$60[/tex]

So, total cost of tickets is [tex]\$60[/tex].

Is 2.99 irrational or rational?

Answers

Answer:

rational

Step-by-step explanation:

its decimal expansion terminates after 9 and it can also be represented as fraction.

Answer:

Rational

Step-by-step explanation:

Irrational numbers are numbers that cannot be written as a fraction (denominator of 1 does not count). 2.99 can easily be written as a fraction (e.g.  [tex]\frac{299}{100}[/tex]) and therefore is rational.

Simplify 2/3(9x−15)−(−6x+2) . Write your answer in factored form.

Answers

The value of the expression 2/3(9x−15)−(−6x+2) is 12(x - 1).

How to calculate the expression?

Expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both. Addition, subtraction, multiplication, and division are all possible mathematical operations.

H we, we want to simplify 2/3(9x−15)−(−6x+2). This will be illustrated thus:

2/3(9x−15)−(−6x+2) .

= (6x - 10) + 6x - 2

= 6x - 10 + 6x - 2

= 12x - 12

= 12(x - 1)

Learn more about expressions on:

brainly.com/question/723406

#SPJ1

the cost to go bowling is a function in terms of the number of games bowled. the cost to bowl 2 games with a shoe rental is $16.50. the cost to bowl 4 games with a shoe rental is $28.50. what is the cost of renting shoes?

Answers

Answer:

x = cost of games bowled = $6

y = cost of shoe rental = $4.50

Step-by-step explanation:

Let

x = cost of games bowled

y = cost of shoe rental

2x + y = 16.50 (1)

4x + y = 28.50 (2)

Subtract (1) from (2) to eliminate y

4x - 2x = 28.50 - 16.50

2x = 12

x = 12/2

x = 6

Substitute x = 6 into (1)

2x + y = 16.50 (1)

2(6) + y = 16.50

12 + y = 16.50

y = 16.50 - 12

y = 4.50

x = cost of games bowled = $6

y = cost of shoe rental = $4.50

I rly need yalls help on #1-3, and 5 pleasee!

Answers

Here is #1. I will see if I can do number 2-3&5

4) What is the domain of the function?
Please help

Answers

Answer:

-4 <= x <= 5.

Step-by-step explanation:

For the end points, we usually colour it same as the ink, in blue, to mean inclusion.  Here it is red, but we will assume inclusion as well, since exclusion will not have any correct answer.

Domain consists of all the valid values of x that apply to the function, which is from -4 to 5 inclusively.  We will not exclude non-integer values because this is what the graph indicates.

The only valid answer is therefore the first one, -4 <= x <= 5.

HELP PLS MATH !!!!!!!!!!!!!!

Answers

fraction form : 8/25

decimal form : 0.32

Answer:

8/25 or if you have to do decimal form it's 0.32

Step-by-step explanation:

What is the value of angle vux

Answers

Answer:   156 degrees

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

There are two ways to do this.

The quicker way is to use the remote interior angle theorem. We have the interior angles 53 and 103 which add to 53+103 = 156 which is exactly the exterior angle VUX.

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

The slightly longer way involves finding angle TUV first. Let's say this is equal to the variable y

Adding any three interior angles of a triangle always gets us 180

53+103+y = 180

y+156 = 180

y = 180-156

y = 24

Angle TUV is 24 degrees

The angle supplementary and adjacent to this is angle VUX, which I'll call z

z+y = 180

z = 180-y

z = 180-24

z = 156

So this is another way to get to the answer 156 degrees.

What is the product of 3.8\times 10^23.8×10
2
and 6.4 \times 10^66.4×10
6
expressed in scientific notation?

Answers

Answer:

2.432 * 10⁹

Step-by-step explanation:

Given the expression;

3.8*10² × 6.4*10⁶

= (3.8*6.4)× (10²*10⁶)

= 24.32*10⁸

= 2.432* 10¹ * 10⁸

= 2.432 * 10⁹

Hence the product expressed as a scientific notation is 2.432 * 10⁹

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