Find the value of X AND Y: Show your work.

Find The Value Of X AND Y: Show Your Work.

Answers

Answer 1

We are given:                                                                                                        

AB = 7x + 10

BD = 9x - 2

∠DBC = 9y - 9

∠ABC = 90°

AB = BD

Solving for x:                                                                                                          

We are given that AB = BD

7x + 10 = 9x - 2               [since AB = 7x+10 and BD = 9x-2]

10 = 2x - 2                       [subtracting 7x from both sides]

2x = 12                            [adding 2 on both sides]

x = 6                               [dividing both sides by 2]

Hence, x = 6

Solving for y:_______________________________________________  

We know that AD is a straight line,

So, ∠ABC and ∠DBC must form a linear pair

∠ABC + ∠DBC = 180°

90 + 9y-9 = 180

9y - 9 = 90             [subtracting 90 from both sides]

9y = 99                  [adding 9 on both sides]

y = 11                      [dividing both sides by 9]

Hence, y = 11


Related Questions

From the graph shown, what is an approximate solution of the system of equations?

Answers

Where is the graph? It is a a black screen

20% of all the children in a class are left handed.
4 children are left handed.
How many children are there in the class altogether?

Answers

Answer:

There are 20 students in the class

Step-by-step explanation:

Let the total number of children in the class be = x

from the question, we know that 20% of all the children are left-handed. We also know that 20% of the total children in the class = 4.

This means that 20% of  x = 4

Wherever we see the word "of" in an arithmetic problem, we should know that it infers a multiplication there.

Hence, we have

[tex]\frac{20}{100} \times x = 4[/tex]

[tex]x = \frac{4 \times 100}{20}= 20[/tex]

There are 20 children in the class altogether

On a coordinate plane, point AS
located at(74) and point Bis
located at 8.41 What is the
distance between the two points?

Answers

Answer:

√1370 or about 37.01

Step-by-step explanation:

use distance formula

√(x2-x1)^2+(y2-y1)^2

sqrt(8-7)^2+(41-4)^2

sqrt(1)^2+(37)^2

sqrt 1+1369

sqrt 1370

= about 37. 01

a bus travels 320 miles in 6.4 hours. if the bus continues at the same rate, which proportion can be used to find m, the number of miles the bus will travel in 9 hours.

Answers

Answer:

A

Step-by-step explanation:

Ok first we need to find rate of MILES per HOUR

320/6.4=50

m= miles in 9 hours

9*50=450

Cross Multiply

is your answer

A

(6.4*9)/320m=Hours/miles

Hope this helps!

The number of miles the bus will travel in 9 hours will be 6.4 / 320 = 9 / m. Then the correct option is B.

What are ratio and proportion?

A ratio is a collection of ordered integers a and b represented as a/b, with b never equaling zero. A proportionate expression is one in which two items are equal.

A bus travels 320 miles in 6.4 hours. if the bus continues at the same rate.

We know that speed is the ratio of distance and time. Then we have

The number of miles the bus will travel in 9 hours will be

320 / 6.4 = m / 9

6.4 / 320 = 9 / m

Then the correct option is B.

More about the ratio and the proportion link is given below.

https://brainly.com/question/14335762

#SPJ2

Sally sells sea-shells by the seashore. After 6 days, she has made
$16. After 17 days, she has made $60. How much does Sally
make each day?

Answers

Answer:

the right answer is$2.66

The price of a television is $700 at two different stores. Each store is offering a different promotion. Which deal is the best?

Store A: 15% off sale

Store B: $50 off coupon


Store A

Store B

Answers

Store b if I’m not right I’m sorry
Answer:
Store A
Why:
15%-700=595
50-700=650
Number a have the low number of all.

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Answers

Answer:

ok and ty oof

Step-by-step explanation:

Solve the formula a(m - r) + t = s for a

Answers

Answer:

[tex]\huge\boxed{a =\frac{s-t}{m-r}}[/tex]

Step-by-step explanation:

In order to convert an equation to solve for another variable, we need to algebraically manipulate the problem until we're left with a isolated on one side.

Step 1: Subtract [tex]t[/tex] from both sides

[tex]a(m-r) + t - t = s - t[/tex] [tex]a(m-r) = s-t[/tex]

Step 2: Divide both sides by [tex]m- r[/tex]

[tex]\frac{a(m-r)}{m-r} = \frac{s-t}{m- r}[/tex] [tex]a = \frac{s-t}{m-r}[/tex]

Hope this helped!

What is the solution set for the inequality below
-3x + 15 < 18

Answers

Answer:

x > -1

Step-by-step explanation:

-3x + 15 < 18

Subtract 15 from each side

-3x + 15-15 < 18-15

-3x < 3

Divide each side by -3, remembering to flip the inequality

-3x/-3 > 3/-3

x > -1

compare and contrast rates and ratios

Answers

Answer:

A ratio is a comparison of two numbers. A rate, by contrast, is a comparison of two quantities which can have different units.

Step-by-step explanation:

For example 5 miles per 3 hours is a rate, as is 34 dollars per square foot.

Given the graph that is shown. What is the range of the function??!

Answers

Answer:

[tex]-3\leq x[/tex] < 6

third answer choice

Step-by-step explanation:

Colin buys a tv for £780.
It depreciates at a rate of 5% per year.
How much will it be worth in 6 years?
Give your answer to the nearest penny where appropriate.

Answers

Answer:

£573.40

Step-by-step explanation:

Amount = cost price - total depreciation

depreciation (1st year ) = 5% of £780

                     = [tex]\frac{5}{100}[/tex] x 780

                     = 0.05 x 780

                     = £39.00

depreciation (2nd year) = 5% of  £741

                                       =  £37.05

depreciation (3rd year) = 5% of 703.95

                                      = £35.1975

depreciation (4th year)  = 5% of 668.7525

                                       = £33.437625

depreciation (5th year) = 5% of 635.314875

                                      = £31.76574375

depreciation (6th year) = 5% of 603.5491313

                                      = £30.17745656

Total depreciation = £39.00 + £37.05 + £35.1975 + £33.437625 +   £31.76574375 + £30.17745656

                               = £206.6283253

Total depreciation = £206.6283253

Therefore,

Amount after 6 years = £780 - £206.6283253

             =  £573.3716747

             =  £573.40

The worth of the TV after 6 years is £573.40.

Answer:

573.37

Step-by-step explanation:

Find ,giving your answer correct to 3 significant fig where necessary a. 60%of 850

Answers

Answer:

60%of 850

60×850÷100

=510

Craig measured a length as 0.034 millimeters. What is the margin of error? 0.03 mm to 0.04 mm 0.033 mm to 0.034 mm 0.0335 mm to 0.0345 mm 0.0345 mm to 0.0350 mm

Answers

C. 0.0335 mm to 0.0345 mm

Step-by-step explanation:

The least significant digit of Craig's measurement is in the 0.001 mm place. The error in the measurement is presumed to fall within half that value either side of Craig's measurement. So, the actual value is expected to be in the range ...

0.034 - 0.0005 = 0.0335

to

0.034 + 0.0005 = 0.0345

The measurement is presumed to be in the range 0.0335 mm to 0.0345 mm.

Answer:

C

Step-by-step explanation:

cuz...just trust me

The function t=f(S) models the time, in hours, for a sample of water to evaporate as a function of the size S of the sample, measured in millimeters. What are the units for f’’(S)?

Answers

Given that,

The function is t = f(S).

To find,

The unit of f''(S).

Solution,

The given function shows the time for a sample of water to evaporate as a function of the size S of the sample, measured in millimeters.

f'(S) will be in hours per Mililiter

And

f''(S) will be in hours per Mililiter per Mililiter. Therefore, this is the required solution.

The top of the mountain is at an elevation of 800 feet. The floor of the cave is 200 feet below ground. What is the distance between the top of the mountain and the floor of the cave?

Answers

Answer:

1000

Step-by-step explanation:

Kristen used the expression 82 - 22.2-52, what is the
value of it?

Answers

Answer:

the answer to this is 7.8

yo plz help I don't understand

Answers

Answer:

Step-by-step explanation:

The greatest common factor (GCF) of a set of numbers is the largest factor that all the numbers share, now when you have a polynomial, the greatest common factor (GCF) of a polynomial is the largest monomial that divides evenly into each term , so

                            [tex](GCF)\\x^4=x^4\\x^5=x^4.x\\x^7=x^4 x^3\\(GCF)=x^4 \\[/tex]

I hope this helps you

PLEASE MARK ME AS BRAINLIEST

My brother needs help

Answers

Answer:

1.95

Step-by-step explanation:

i used scientific its a caculator

a bed of a pickup truck measures 4 ft by 8 ft to the nearest inch what is the length of the longest thin metal bar that will lie flat in the bed ​

Answers

Answer:

11 ft 3 in

Step-by-step explanation:

The bed of a pickup truck measures 4 feet by 8 feet. To the nearest inch, what is the length of the longest thin metal bar that will lie flat in the bed? 11 ft 3 in.

Answer:

Step-by-step explanation:

the diagonal is the longest so use Pythagoras

c^2 =a^2 + b^2

c^2=4^2+8^2

c^2=16+64

c =[tex]\sqrt{80}[/tex]

c = 8.944 ft

What is the solution for 3x =9

Answers

The answer to your question is 3

x = 3

Divide each term by  3  and simplify.

what is the answer to -2+2x=?

Answers

Answer:

-2+2x=0

2x=+2

x= 2/2

x=1

In Tampa the number of new houses built each month during the first half of the year decreased at a constant rate. During the second half of the year the number of new houses remained the same.  Which graph best illustrates the numbers of houses built over the course of the year? 1l​

Answers

Answer:

D or C I believe

Step-by-step explanation:

it says it was going down and then it stayed the same, but what confuses me is that the bottom says "month" so I cant tell now if its an error or its telling us it is still going down during the month year (C) so yeah good luck :,)

K/4 -5 =23 what does k equal

Answers

Answer:

I think the answer 22.

Step-by-step explanation:

Which expression is equivalent to x2 - 40 - 45?

A(x - 9) (x - 5)

B(x +9)(x + 5)

C(x + 9) (x - 5)

D(x-9)(x+5)

Answers

Answer:

the answer is B (x+9)(x+5)

can someone help please?

Answers

The first one because it’s the greater number

7x-6y=9
5x+2y=19 Solve the system using elimination.

Answers

Step-by-step explanation:

multiply 5x+2y=19 by 3 youll get 15x+6y=57

eliminate y

7x-6y=9

15x+6y=57 +

22x=66

x=3

substitute x to 5x+2y=19

15+2y=19

2y=4

y=2


Divide 405 into the ratio of 3:12

Answers

405 divided by 15= 324 and 324 and 3x27=81 ; answer should be 324

7. Find: (i) x + y +z (ii) a+b+c+d​

Answers

Answer:

Q.1 360° Q.2 360°

Step-by-step explanation:

Q.1 let the third angle of the triangle be a

70°+40°+a=180(by angle sum property)

110°+a=180

a=180°-110°

a=70°

angle x=70°+x=180°(linear angle)

x=180°-70°

x=110°

angle z= 40°+z=180

z= 180°-40°

z=140°

angle y=a+y=180°

70°+y=+80°

y=180°-70°

y=110°

y+z+x=110° +110° +140°=360

Q.2 let the fourth angle of the quadrilateral be x

120°+70°+60°+ x=360° (by angle sum property)

250°+x=360°

x=360°-250°

x=110°

angle a=120°+a=180°(by linear angle)

a=180°-120°

a=60°

angle b=70°+b=180°

b=180°-70°

b=110°

angle c=x+c=180°

110° + c=180°

c=180°-110°

c=70°

angle d=60°+d=180°

d= 180° -60°

d=120°

a+b+ c+d=120°+110°+60°+70°=360°

Please can you help me with this

Answers

9514 1404 393

Answer:

  85°

Step-by-step explanation:

The sum of arcs in a circle is 360°.

  FG +140° +80° +55° = 360°

  FG = 360° -275°

  FG = 85°

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