Mathematics High School

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

p=1/2 q=-1/4 r=1/6 evaluate this: 48pqr(p+q+r)/(p+q)(p+r)

Answers

Answer:

-2

Step-by-step explanation:

48pqr x (p + q + r) / (p + q) x (p + r)

48(1/2)(-1/4)(1/6) x (1/2 + (-1/4) + 1/6) / (1/2 + (-1/4)) x (1/2 + 1/6) dear lord..

48(1/2)(-1/4)(1/6) x (0.4) / (0.25) x (0.7)

-1 x (0.4) / (0.25) x (0.7)

-0.4 / 0.2

= -2

i really hope this is right because my brain hurts

11. If 9m - 3 = -318, then 14m = ?
a. -28
b. -504
c. -329
d. -584
e. -490

Answers

Answer:

e. -490

Step-by-step explanation:

-318+3= -315

-315/9= -35

So that would mean m= -35

-35*14= -490

9m - 3 = -318
+ 3. + 3
9m. = -315
9m / 9 = -315/9
m = -35

14m =
14 (-35) = -490

The answer is e

ayo someone help me please

Answers

Answer:

B. [tex]y= \left \{ {{x^{2}+4,\,x< 2 } \atop {-x+4,\,x \ge 2}} \right.[/tex]

Step-by-step explanation:

The piecewise function consists in two functions:

(i) A vertical parabola directed in the +x direction and centered at [tex]V(x,y) = (0, 4)[/tex] for all [tex]x \in (-\infty, 2)[/tex]. That is:

[tex]y = x^{2}+4[/tex], [tex]x < 2[/tex]

(ii) A line with negative slope for all [tex]x \in [2, +\infty)[/tex].

[tex]y = -x+4[/tex], [tex]x \ge 2[/tex]

The correct answer is B.

You are traveling to Sacramento, CA from Los Angeles, about 375 miles by train. If the train travels an average speed of 30 mph, how long will it take to reach Sacramento?

Answers

Answer:

12.5 hours

Step-by-step explanation:

divide 375 by 30 and you get how many hours it would take

12.5

There are 100 socks in a bag. 75 out of those are blue. What is the probability of picking a blue sock randomly out of the bag.

Answers

Answer:

3/4

Step-by-step explanation:

75/100=15/20=3/4

please mark as brainliest!!!<3<3

3/4, or 0.75, or 75%

identify like terms 2d 5f 2g 7 3g g

Answers

Answer:

Step-by-step explanation:

The degrees of the terms in the order given are 2, 4, 1, 3, 0. The second-highest of these numbers is 3, and the corresponding term is ...

B: -g^3

(3g+5)(2g-7)

(3g+5)(2g-7)=6g²-21g+10g-35 = 6g²-11g-35

answers for the 3 boxes please

Answers

In order for two lines to be perpendicular, their gradients must multiply together to get -1

7*b=-1

7b=-1

Divide both sides by 7

So, the gradient of line b is -1/7

Answer:

-1/7

Step-by-step explanation:

An art teacher has a total of 5/8 pound of clay.The teacher puts 1/32 pound of clay at each work station.How many total work station will the art teacher be able to set up

Answers

Answer: Total work stations = 20

Step-by-step explanation:

Total clay = [tex]\dfrac58[/tex] pound

Clay at each work station = [tex]\dfrac1{32}[/tex] pound

Total work stations = (Total clay ) ÷ (Clay at each work station )

[tex]=\dfrac58\div\dfrac{1}{32}\\\\=\dfrac58\times32\\\\= 5\times4\\\\= 20[/tex]

Hence, Total work stations = 20

Plz help me with this

Answers

9514 1404 393

Answer:

growth2.3%

Step-by-step explanation:

The number with the exponent is 1+0.023/4 = 1.00575. This number is greater than 1, so represents growth.

When x increases by 1, the multiplier of 800 increases by ...

1.00575^4 ≈ 1.023199 = 1 + 2.3199%

Rounded to the nearest tenth percent, this is a 2.3% growth rate.

_____

Additional comment

The formula corresponds to a financial formula in which a 2.3% annual interest rate is compounded 4 times per year. The effective annual interest rate is almost 2.32% per year. The difference is there, but is too small to see when the interest rate is rounded to a tenth percent.

Please help me!
I need help really fast

Answers

Answer:

Step-by-step explanation:

Jim will finish in 6 days because 300/50=6

So you know that Sam needs to finish the book in at exactly 4 days

300/4= 75 pages per day

Answer:

a lot

Step-by-step explanation:

a lot

PLEASE HELP MY HOMEWORK IS DUE 10 MIN!!!!!!!!!!!!!!!!! Now think about changing the triangle. What happens to angle Z if the unknown side length increases while keeping the known side lengths (XZ and ZY) the same? Will the triangle still fit the given conditions?

Answers

Answer:

Angle Z wil change because the side length is getting longer and tbe triangle would no longer fit the conditions

85 out of 350 books in the library are about Mysteries.
What percent of the books are Mystery books?

Answers

Answer:

nearly 24%

Step-by-step explanation:

85=350×a/100

85=3.5a

a=85/3.5

nearly 24%

x * 2/3 < 2/3
Solve for x

Answers

Answer:

x<1

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable. Hope this helps!

Answer:x<1

Step-by-step explanation:

Which table represents the statement a draft friends at a rate of 32 mph

Answers

Answer:

Step-by-step explanation:

Answer: it is the first choice

about 7/10of the surface of the earth is covered with water. express this as an equivalent fraction with 100 as the denominator. the fraction with 100 as the denominators are known as per cent. 50/100 means 50 per cent. so what percentage of the earth's surface is covered with water? what percentage is covered with the land?

Answers

Answer:

70%

Step-by-step explanation:

Triangles A B C and N M L are shown. Angles B A C and L N M are right angles.

What additional information could be used to prove that △ABC ~ △NML? Check all that apply.

∠B ≅ ∠M
△ABC is a right triangle.
△ABC was rotated and dilated by a scale factor between 0 and 1.
△ABC was translated right and down.
∠C ≅ ∠L

Answers

Answer:

A. Angle B is congruent to angle M

C. Triangle ABC was rotated and dilated by a scale factor between 0 and 1

E. Angle C is congruent to angle L

How Do I Know?

Because I literally just did it just now and that's what it said that the answers were. January 9th, 2021- Edge :)

A. Angle B is congruent to angle M

C. Triangle ABC was rotated and dilated by a scale factor between 0 and 1

E. Angle C is congruent to angle L

What is similarity in triangles?

Two triangles are similar if they have the same ratio of corresponding sides and equal pair of corresponding angles.

Given:

To prove that triangle ABC is similar to triangle NML.

The following points are considered:

∠B ≅ ∠M

△ABC was rotated and dilated by a scale factor between 0 and 1.

∠C ≅ ∠L.

Learn more about similarity here:

https://brainly.com/question/25882965

#SPJ2

I'm so confused. Helpppp.

Answers

2 dollars, because it’s the only factor that changes and is not constant. 10 would be how much they charge for him to buy the pass, then 2 dollars per visit after.

Find the missing angle measures
m∠3
m∠4
m∠5
m∠6
Please show work

Answers

Answer:

Step-by-step explanation:

x+45+60=180

x+105=180

x=180-105

x=75

Determine the correct inequality for the unknown side of the triangle.

A
B
C
D

Answers

B i believe is the answer

B ...................

look at pic and answer plz

Answers

Answer:

Step-by-step explanation:

the total amount is $1200 per month

225+375= 600

1200/600= 1/2= 0.50=50%

I think it’s D HOPE IT HELPS JSJSBANSNNsnnsnsnsnanajjannbbba a bf

125 is 30% of what number

Answers

Answer:

Step-by-step explanation:

Answer:

125 is 30% of the number 24, hope this helps

Step-by-step explanation:

We have, 125% × x = 30

or, 125/100 × x = 30

Multiplying both sides by 100 and dividing both sides by 125,

we have x = 30 × 100/125

So your answer is X=24

A sandbox is located at (-8, -3). How many UNITS apart on the coordinate plane are the locations of the swing set and the sandbox?

Answers

where is the swing set

Angela works 18 hours a week for 12 weeks in the summer at the local swimming pool as a life guard. She earns $13 per hour. Her employer takes 15 percent out of her check for federal income tax withholding and 6.2 percent for Social Security and 1.45 percent for Medicare. She will receive 12 paychecks, one for each week she works. Calculate Angela’s weekly gross pay

Answers

Answer:

We know that per week, she works 18 hours.

For each of these hours, she earns $13.

Then in one week, she earns a total of:

18*$13 = $234

This is her gross pay (the pay before the taxes apply)

Now we know that her employer takes:

15% for federal income tax withholding.

6.2% for Social Security

1.45% for Medicare.

If we add all of these, we get:

15% + 6.2% + 1.45% = 22.65%

This means that 22.65% of $234, is taken by her employer to pay taxes and such.

Then the amount left is:

M = $234 - ( 22.65%/100%)*$234 = $234 - 0.2265*$234 = $180.999

And we can round the last digit to $181 (because we can not have a 0.009 of a cent)

This means that her weekly net pay is $181

And she works for 12 weeks, this means that in total, she will earn:

12*$181 = $2,172

A production process produces an item. On average, 16% of all items produced are defective. Each item is inspected before being shipped, and the inspector misclassifies an item 13% of the time. Please round the final answers to 3 decimal places.
What proportion of the items will be "classified as good"?

P (classified as good)=

Answers

Answer:

Step-by-step explanation:

Which of the following expressions are equivalent to 4 to the third radical

Answers

Answer:

good luck.......................

radical 9 times radical 4

b) Expand 3p(p+5)
c( Solve 4(k-6) = 20

Answers

Pls pls help I don’t have time HELP ASAP. It also detects if it’s right or wrong. Pls pls help I don’t have time HELP ASAP. It also detects if it’s right or wrong.

Simplify. Write in Standard Form. 10a(-6a²+2a-7)

Answers

Answer:

10a (-6a²+2a-7)open the brackets-60a³+20a²-70adivide all the term by 10-6a³ +2a²-7a(simplified answer)

can anyone also help me solve this and explain?

Answers

Step-by-step explanation:

A'B'/AB = 5.1/1.7 = 3

B'C'/BC = 7.2/2.4 = 3

A'C'/AC = 7.5/2.5 = 3

These ratios are equal to the scale factor. These ratios are the scale factor.

which graph represents the solution for the equation 1/6x=-2x+5

Answers

Answer:

Pllsssss Pllsssss Pllsssss

Step-by-step explanation:

Pllsssss Pllsssss Pllsssss

A robin can fly 10 miles per hour faster than a blue jay. It takes a robin 1 1/2 hours to fly 45 miles.

How many hours will it take a blue jay to fly that same distance?

Answers

Answer: [tex]2\dfrac14\text{ hours}[/tex]

Step-by-step explanation:

Given: It takes a robin [tex]1\dfrac12[/tex] hours to fly 45 miles.

[tex]1\dfrac12=\dfrac32[/tex]

Speed of robin= [tex]\dfrac{distance}{time}=\dfrac{45}{\dfrac32}[/tex]

[tex]\dfrac{45}{3}\times2= 15\times2= 30\text{ miles per hour}[/tex]

A robin can fly 10 miles per hour faster than a blue jay. It

Speed of Blue jay = Speed of robin - 10 miles per hour

= 30 miles per hour - 10 miles per hour

= 20 miles per hour

Time taken to cover 45 miles = [tex]\dfrac{45}{20}=\dfrac{9}{4}=2\dfrac14\text{ hours}[/tex]

Hence, it will take [tex]2\dfrac14\text{ hours}[/tex] by a blue jay to fly that same distance.

Other Questions

2(a + b)= Helppp meee pleaseeeeee To express dislike for something, ASL signers use a gesture that moves ______ the body. *away from from below from behind in toward If an orca is 200 m below the surface of the water and then swims up and jumps 5 m in the air, what is the total distance it traveled? Which game mentioned in the article lets the player act as a journalist?A. Global Conflict: PalestineC. Kuma WarB. PeacemakerD. America's Army How do you convert y-15= 50(x-3) to slope-intercept form? The cost of a t-shirt was $30. Now the t-shirt costs $37.50. What is the percent of change? Do the work on your own paper and write your answer as a number. 2 times what gives you 7 Farmer Bill sold potatoes at the farm market. He sold a quarter to the first person, 4/9 of what was left to the second person, and the third buyer bought 4/5 of what was left and the last 10 lb. How many pounds of potatoes did farmer Bill sell? Solve (9 - 3 x 2)^2 someone help me please im failing would u like to watch naruto or boruto?so my question won't delete im gonna put math equations also don't say answer for the equations there just examples 2x3x4x5also u might get brainliest In which sentence is the word habitual used as it is listed in the dictionary entry?He habitual jogged the same path through the park.Each morning the man and woman eat their habitual breakfast in the diner.It is apparent that it is her habitual to sing while painting.It seems everyone is willing to put up with the habitual of the neighbor's gossip. a + bx: a = 15,b= -4, and x = -3 Please help me. 30 points. poverty increases even more by unnecessary expenditure during feasts and festivals Please help me answer this. Pls help asap, will do brainlest Gabriel lives and works in Michigan, which has a flat state income tax of4.25%. If his annual salary is $69,255 and he gets paid once a month, howmuch is withheld from his gross income for state income tax each payperiod? A 4.0g Glass was heated from 5C to 45C after absorbing 32 J of heat. What is the specific heat of the glass? Which of the following centuries would be part of the Renaissance?The 1000sThe 1200sThe 1500sThe 1800s What does the artist of this cartoon hope Tsar Nicholas ii Will achieve?