find the value of x that makes def ~ xyz
x=​

Find The Value Of X That Makes Def ~ Xyzx=

Answers

Answer 1

Answer:

x = 3.5

Step-by-step explanation:

[tex] \triangle DEF \sim \triangle XYZ\\\\

\therefore \frac{DE}{XY} =\frac{DF}{XZ} \\\\

\therefore \frac{5}{7.5} =\frac{7}{3x} \\\\

\therefore 3x = \frac{7.5\times 7}{5} \\\\

\therefore x = \frac{7.5\times 7}{3\times 5} \\\\

\therefore x = \frac{52.5\times 7}{15} \\\\

\therefore x = 3.5[/tex]

Answer 2

Step-by-step explanation:

If [tex]\triangle[/tex]DEF~[tex]\triangle[/tex]XYZ

[tex]\tt{\dfrac{DE}{XY}=\dfrac{EF}{ZY}=\dfrac{DF}{XZ} }[/tex]

According to the question

[tex]\tt{\dfrac{5}{7.5}=\dfrac{3}{4.5}=\dfrac{7}{3x} }[/tex]

[tex]\tt{\dfrac{3}{4.5}=\dfrac{7}{3x} }[/tex]

[tex]\tt{ 9x=4.5×7}[/tex]

[tex]\tt{ 9x=31.5 }[/tex]

[tex]\tt{ x=\dfrac{22.5}{9} }[/tex]

[tex]\tt{x=3.5 }[/tex]


Related Questions

the main sailboat has the dimensions shown in figure at the right . what is the height of the main sail? Then round to the nearest tenth as needed .)​

Answers

Answer:

h = 14.5 ft

Step-by-step explanation:

Apply trigonometric ratio formula to find h:

reference angle = 46°

Opposite side = h

Adjacent side = 14 ft

Thus:

Tan 46 = h/14

Multiply both sides by 14

14*tan 46 = h

h = 14.4974243

h = 14.5 (nearest tenth)

The Ferrer family is taking a vacation. During their vacation they will drive a total of 686 miles per hour. Which equation best describes how many, m, miles are left after driving, h, hours?

Answers

Answer:
Divide for H
Step-by-step explanation:
H=10.5538462

Write the equation of the function on the graph.​

Answers

Answer:

[tex] \huge \boxed {y = |x| + 3}[/tex]

Step-by-step explanation:

Similar to Parabola, except this is Modulus Function.

[tex] \boxed {y = a |x - h| + k} \\ a \: = slope \\ h = move \: \: to \: \: x - axis \\ k = move \: \: to \: \: y - axis[/tex]

From the graph. The graph doesn't have any movement/transformation to x-axis, only y-axis. The graph only shifts up 3 units from y = |x|.

Both slopes are also 1 (from rise/run)

Hence, the answer is

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

HELP ME ASAP PLEASE?!!
(look at the image)
How is the graph of
f(x) = -3x2 – 4 different from the graph of f(x) = -3x2

Answers

Answer:

Both have the same line of symmetry but different turning points

But I maintain that if you had taken a shot of the entire question I would be of much help

Step-by-step explanation:

f(x)=-3x²-4

dy/dx=-6x

-6x=0

x=0

The line of symmetry of this parabola occurs at x=0

The minimum value of the curve is

f(0)=-3(0)²-4=-4

For f(x)=-3x²

dy/dx=-6x²

-6x²=0

x=0

The line of symmetry occurs at x=0

The maximum value=-3(0)²=0

i bet nobody will anser this =P. Solve 52.425 divided by 0.5

Answers

Answer:

104.85

Step-by-step explanation:

c:

Answer:

104.85

Step-by-step explanation:

52.425/0.5=104.85

Please help!! 20 points!!! I don’t know if is d....

Answers

Yes it is D. I hope this helps

A season pass to an amusement park costs $70 per family member plus an additional $50 fee for parking. The function C(x)=70x+50 represents the total cost of the season pass for a family, where x is the number of family members on the season pass. Find the inverse function. (show workings)

Write the equation in slope-intercept form. y+5=−6(x+7)

i need answers to these in 10 minutes.

Answers

Answer:

a) The inverse is g(x) = (1/70)*x - 50/70

b) The slope intercept form is y = -6*x - 47

Step-by-step explanation:

a) When we have a function f(x), the inverse of this function (let's call it g(x)) is such that:

g(f(x)) = x

f(g(x)) = x

for every x.

In this case, we have:

f(x) = 70*x + 50

This is a linear function, and the inverse will be also a linear function.

Then the inverse will be something like:

g(x) = a*x + b

then:

g( f(x)) = x = a*( 70*x + 50) + b

then we can just solve the equation:

x = a*( 70*x + 50) + b

x = a*70*x + a*50 + b

If we separate terms by the powers of x in each side of the equation, we have:

1*x + 0*x^0 = (a*70)*x + (a*50 + b)*x^0

(where x^0 = 1)

then:

1 = (a*70)

a = 1/70

and:

0 =  (a*50 + b)

0 = 50/70 + b

-50/70 = b

Then the inverse of f(x) is:

g(x) = (1/70)*x - 50/70.

b) The slop-intercept form of a linear equation is:

y = a*x + b

where a is the slope, and b is the y-intercept.

We want to write in this form the equation:

y + 5 = -6*(x + 7)

The first step is to isolate the "y" in one side of the equation:

y = -6*(x + 7) - 5

Now let's simplify the right side:

y = -6*x - 6*7 - 5

y = -6*x - 42 - 5

y = -6*x - 47

This is the slope-intercept form, where the slope is -6, and the y-intercept is -42.

Solve for Y .

-6y + 4x = 8

Answers

Answer:

y= -4/3 + 2x/3

Step-by-step explanation:

hii can someone help with this pls :)
i think it’s (0.6,2.8) but i’m not sure so can someone confirm

Answers

Answer:

[tex]R(x,y) = (0.8,-1.2)[/tex]

Step-by-step explanation:

The coordinates of QS are:

[tex]Q(x_1,y_1) = (-2,-6)[/tex]

[tex]S(x_2,y_2) = (5,6)[/tex]

The ratio is represented as:

[tex]R_{m:n} = 2:3[/tex]

Required

Find the coordinates of R

The coordinates of R is calculated by:

[tex]R(x,y) = (\frac{mx_2 + nx_1}{m+n},\frac{my_2 + ny_1}{m+n})[/tex]

Substitute values for m, n, x's and y's

[tex]R(x,y) = (\frac{2 * 5 + 3 * -2}{2+3},\frac{2*6 + 3*-6}{2+3})[/tex]

[tex]R(x,y) = (\frac{4}{5},\frac{-6}{5})[/tex]

[tex]R(x,y) = (0.8,-1.2)[/tex]

None of the options is correct

I NEED HELP PLEASE !!!!

Answers

Answer:

Circle

Step-by-step explanation:

n/a

Why would the end point for the function be (0,0)

Answers

Answer:

Yes, you are correct. It is (0,0)

Step-by-step explanation:

The lower left side of the curve hits the axis at 0,0 so you are correct. Try it

S = 365√x

Let x = 0

The square root of x when x = 0 is 0.

So S = 365√0

S = 0

Need answer fast as possible

Answers

Answer:15

Step-by-step explanation:

The box on the left is square in a square all side are equal

Answer:

15

Step-by-step explanation:

That's a square, so all lengths are the same

Which of the following is a composite number? Select the best answer from the choices provided. A. 47 B. 71 C. 89 D. 93 IT ONLY LETS YOU CHOOSE ONE

Answers

Answer:

93

Step-by-step explanation:

A composite number is a positive integer that has at least one divisor other than 1 and itself. Basically, the opposite of a prime number.

47, 71 and 89 are all prime numbers. The only composite number is 93.

Answer:

D: 93

Im not 100% sure but i think its right.

need help please answer !!!

Answers

I feel like it might be the second one

In the circle, O is the centre and AB is a diameter.
a) Work out the size of angle a.
b) Work out the size of angle b.

Answers

Answer:

Step-by-step explanation:

Answer:

a). m∠a = 62°

b). m∠b = 118°

Step-by-step explanation:

a). Since, an angle inscribed in a semicircle is a right angle,

  m∠ACB = 90°

  By triangle sum theorem in ΔABC,

  m∠CAB + m∠ACB + m∠ABC = 180°

  28° + 90° + m∠ABC = 180°

  118° + m∠ABC = 180°

  m∠ABC = 180°- 118°

  a = 62°

b). Since, quadrilateral ABCD is a cyclic quadrilateral,

   m∠ADC + m∠ABC = 180°

   b + a = 180°

   b + 62° = 180°

   b = 180° - 62°

   b = 118°

subtract -2x from -8x.

Answers

Answer:-6x

Step-by-step explanation:

=-8x-(-2x)

=-6x

Hope it helped you.

Plz mark me brainliest.

Answer:

-6x

Step-by-step explanation:

-8x - (-2x)

-8x + 2x

-6x

Select all the Intervals where f is increasing
A) -3 B) -1 C) 3.5 D) None of the above

Answers

Answer:

-3<x<-2

And

3.5<x<4.5

Step-by-step explanation:

12v-38=⅛*(4v-3) I need this answered plz

Answers

Answer:

v = 3.2

Step-by-step explanation:

12v - 38 = (4v-3)/8

multiply each side by 8 to get:

96v - 304 = 4v - 3

92v - 304 = -3

92v = 301

v = 3.27

Answer:

12v-38=1/8

We move all terms to the left:

12v-38-(1/8)=0

We add all the numbers together, and all the variables

12v-38-(+1/8)=0

We get rid of parentheses

12v-38-1/8=0

We multiply all the terms by the denominator


12v*8-1-38*8=0

We add all the numbers together, and all the variables

12v*8-305=0

Wy multiply elements

96v-305=0

We move all terms containing v to the left, all other terms to the right

96v=305

v=305/96

v=3+17/96

(Hope that helps)

20b<300 solve the inequality and graph the solution

Answers

Answer: b<15

Step-by-step explanation: Divide each term by

20 and simplify inequality form: b<15

Can someone please explain how to do this

Answers

Answer: 82

Step-by-step explanation:

2 x 5 = 10

12 x 6 = 72

72 + 10 =82      

                                 tell me if u get it right

;)

Help foR 100 pointttttttt

Answers

Answer:

nothing is here you'd have to put something to see if people can help

Answer:

ye

Step-by-step explanation:

if the mean of 6 7 13 and 10 is 8 find rangeif the mean of 67 13 and 10 is 8 find range ​

Answers

Answer:

The range is: 7

Step-by-step explanation:

Given the data set

6, 7, 13, 10

Sorting in ascending order

6, 7, 10, 13

We know that the range is the difference between the highest and lowest values in a set of numbers.

Here:

Highest Value = 13Lowest Value = 6

Thus,

Range = Highest Value - Lowest Value

           = 13 - 6

           = 7

Therefore, the range is: 7

The function f(x)f(x) is graphed below. Determine whether the degree of the function is even or odd and whether the function itself is even or odd.

Answers

Answer:

The degree is even and the function is even.

Step-by-step explanation:

The graph is a parabola, indicating that the degree is even.

The defintion of an even function is that f(x)=f(-x), and by observing the graph of the function, we will be able to verify that f(x)=f(-x). It is therefore an even function.

The degree of the function is even and the function will be even.

What is a function?

A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.

The function f(x) is graphed below.

The graph of the function is parabolic whose vertex is at (0, -30). And the curve is passing through the x-axis.

Then the equation of the curve will be

f(x) = ax² - 30

Where a is the leading coefficient.

Then the degree of the function is even and the function will be even.

More about the function link is given below.

https://brainly.com/question/5245372

#SPJ2

A mirror is 24 inches high and 28 inches wide. The center of the mirror will hang 514 feet from the floor on a wall that is 8 feet high.
What will be the distance from the top of the mirror to the ceiling once the mirror is hung on the wall?
A
[tex]1\frac{3}{4}[/tex] feet

B
[tex]2\frac{3}{4}[/tex] feet

C
[tex]5\frac{1}{4}[/tex] feet

D
8 feet

Answers

Answer:

A is the answer

Step-by-step explanation:

I think

Name two planes that intersect in SW in the
figure to the right

Answers

Plane XTS and Plane VRS

A option

Last year, Nick went bowling several times and earned an average score
of 82 points. This year, after taking a class at school, he improved his score
to an average of 123 points. What is the percent of increase in Nick's
average score? *

Answers

Answer: 150%


Explanation:

1. Turn it into a fraction. (123/82)

2. Divide the numerator (123) by the denominator (82). (123÷82=1.5)

3. Multiply the decimal (1.5) by 100 and add “%” at the end to make it a percentage. (1.5x100=150)(150=150%)

Last week Rachel power watch 2 3/5 miles per day on each of the seven days during the same week she also jobbed 5 3/4 miles per day on 4 days what was the total amount of Miles Rachel power walk and Jog last week

Answers

Answer:

41.2 miles

Step-by-step explanation:

The computation of the total amount of miles rachel walk and jog last week is as follows;

Unit rate per day is

= 2 3 ÷ 5

= 13 ÷  5

= 2.6 miles

In 7 days, she walked

= 2.6 miles × 7 days

= 18.2 miles

Now for four days, the unit per day is

= 5 3 ÷ 4 × 4

= 23 ÷ 4 × 4

= 23 miles

So, the total amount of miles would be

= 18.2 miles + 23 miles

= 41.2 miles

. What is the value of x in the equation .5(x-2) = 3(x-4) - 14?​

Answers

Answer: -8

Step-by-step explanation:

Solve for x  

5 (x − 2) = 3 (x − 4) − 14  

5x − 10 = 3 (x − 4) − 14

5x − 10 = 3x − 12 − 14

5x − 10 − 3x  = −26

2x  = −26 + 10

2x  = −16

x = −8

Answer:

answer of this equation is (-8)

:-))

Solve for p.
p - 879 = -284
p =

Answers

The answer is 595 ooookkkkkk

Kinda confused. Will give 20pts.

Answers

Answer:

Step-by-step explanation:

the ratio between similar triangles are constant.

so 11/14 has to be equal to z/8 and also a15 = 11/14

so from this we can conclude that z = 8*14/11 = 10.18

Answer:

z = 11 and a = 12

Step-by-step explanation:

These two triangles are similar, in this case, the same angles but different sizes. The answer to this problem is the length of the sides of the triangles. You are given the right side's length on both triangles. The first triangle's sides are 3 (inches, cm, whatever form of measurement is being used) bigger than the second triangle's. Using this information, you can figure out the quantity of both a and z.

Hope this helps.

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