An architect designs two similar triangular patios. The first patio has angle measures of (x + 10)°, (y + 5)°, and 40°. The second patio has angle measures of (x – 10)°, 60°, and 80°. Find the values of x and y.
HELPPPP PRETTY PLEASEEE ASAP

Answers

Answer 1

Answer: x=230 and y=75

Step-by-step explanation: A triangle is worth 360 degrees, which means when you add up all the angles it equals 360 degrees. So

Second patio:

(x-10),60+80 = 360

x-10+140 =360-140

x-10=220+10

x=230

First patio:

(x+10)+(y+5)+40 = 360

x+y+55=360

x+y=360-55

x+y=305- x(230) =75

y=75

Answer 2

Answer: x = 50, y = 75

The sum of angles of a triangle is equal to 180°

according to the question, (x+10) + (y+5) + 40 = 180 -- eq(1)

(x-10) + 60 + 80 = 180 -- eq(2)

(x - 10) + 140 = 180

x - 10 +140 = 180

x + 130 = 180 , x = 180 - 130

x = 50

put x value in eq(1)

50+10 + (y+5) + 40 = 180

60+(y+5)+40 = 180

y+5 +100 = 180

y + 105 = 180

y = 180 - 105

y = 75

So, x = 50 and y = 75.

To learn more about triangles,

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Related Questions

you purchase a telescope in a state with a 5% sales tax you pay 12.45 in tax how much was the telescope

Answers

If 12.45 is 5% of the item, 100% of the item would be 12.45*20 which is $249
You would pay $13.07
The starting price is $12.45
Tax would be $0.62 or 5%
Which then would mean you would pay $13.07

How do u find a equation passing through the line in a graph, I will give an example (-2,0) and (0, 5), I don’t understand how to calculate it can u please give me a easy way to do it for me , I’m in the 8th grade

Answers

Answer:

y = 5/2x + 5

Step-by-step explanation:

To find the equation, you first need to find the slope. You can do this by subtracting the two y coordinates (the two last numbers) and using that as the numerator (the top number of the fraction), and then subtracting the two x coordinates (the two first numbers) and using that as the denominator (the bottom number of the fraction). You then have the fraction -5/-2, which can be changed to 5/2 because they are both negative numbers. That is your slope. You then need to find the y-intercept (where the line connects with the y-axis). To do this, you need to figure out what the y (the second number) is when the x (the first number) is 0. In this example, you can already see with the second set of coordinates that the y-intercept is 5 because the x is 0. When this is not easily shown, you can figure out the y-intercept with a table. Sorry if I made it sound too complicated :)

Y=5/2x+5

(Totally didn’t steal the other persons answer). ;)

After buying​ dinner, Julia had 34​$ left over. She spent 3​$ on cranberry​ sauce, 12​$ on​ stuffing, and ​31$ on the turkey. How much​ money, m, did Julia start​ with?

Answers

M=34+12+3+31
So she started with 80$
$34 + $3 + $12 + $31 =$80
so she started with $80

Find the difference between 288 and 122

Answers

There are 166 numbers in between 288 and 122.

If that didn`t help and I need to add more, tell me and I will!

Answer: The answer is 166. Difference stands for subtraction (-).

I hope this helps.

Can someone tell me where to plot the points? (due tomorrow) thanks!​
Also can you explain to me if this is proportional or not? I need a clear reason. Thanks so much!

Answers

Step-by-step explanation:

ok do you see where x is on the graph

you would put 0 3 times up and y would be where

5 is on the graph you would put 3.5 times up

HOPE IT HELPS

Here are the answers
0,2
2,5
3,5.5
1,3.5

A gas company charges a $16 monthly service fee and $0.6924 per hundred cubic feet of natural gas used during a month. Which equation best represents Y, the gas company’s monthly charged in dollars for using X hundred cubic feet natural gas?

A. Y = 0.6924x - 16
B. Y = 16x + 0.6924
C. Y = 16x - 0.6924
D. Y = 0.6924 + 16

Answers

Numbers of phones for a gas company charges a 16 month a service

The correct equation that represents Y, the gas company’s monthly charge in dollars for using X hundred cubic feet of natural gas is:

Y = 0.6924X + 16

What is an equation?

An equation contains one or more terms with variables connected by an equal sign.

Example:

2x + 4y = 9 is an equation.

2x = 8 is an equation.

We have,

The correct equation that represents Y, the gas company’s monthly charge in dollars for using X hundred cubic feet of natural gas is:

Y = 0.6924X + 16

Now,

Option A has the correct variable coefficients, but the constant term is negative, which is not correct as a monthly service fee is always positive.

Option B has the correct constant term but the variable coefficient is positive, which doesn't make sense as the company charges per hundred cubic feet of natural gas used.

Option C has a similar problem as option A.

Option D has incorrect variable and constant terms.

Therefore,

The correct equation is Y = 0.6924X + 16.

Learn more about equations here:

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What are the domain and range of the function f of x is equal to the quantity x squared plus 6x plus 8 end quantity divided by the quantity x plus 4 end quantity?

Answers

Answer:

The domain is all values of

x

that make the expression defined.

Interval Notation:

[

0

,

)

Set-Builder Notation:

{

x

|

x

0

}

The range is the set of all valid

y

values. Use the graph to find the range.

Interval Notation:

[

0

,

)

Set-Builder Notation:

{

y

|

y

0

}

Determine the domain and range.

Domain:

[

0

,

)

,

{

x

|

x

0

}

Range:

[

0

,

)

,

{

y

|

y

0

}

The answer to this would be all values of x

Which of the following points has a distance of 3 from the point (-7, 4?)
1. (10, 4)
2. (-7, -1)
3. (-10, 4)
4. (4, 4)

Answers

Answer:

(-10,4)

Step-by-step explanation:

The red dot is (-7,4).

the answer is (-10,4)

Consider the equation 5+x=n
5
+
x
=
n
. What must be true about any value of x
x
if n
n
is a negative number? Explain your answer. Include an example with numbers to support your explanation.

Answers

Answer:

x < - 5

Step-by-step explanation:

Given equation:

5 + x = n

If n is negative then we get:

n < 0 or5 + x < 0x < - 5

If n is negative then x is less than - 5.

Example:

x = - 6 ⇒ 5 + (-6) = 5 - 6 = - 1  ⇒ -1 < 0

Answer:

x < -5

Step-by-step explanation:

Now the value of x is,

→ 5 + x = n

→ x = n - 5

The value of n when negative,

→ n < 0 ---- {n = 0}

When n is a negative number,

→ x < 0 - 5

→ [ x < -5 ]

Hence, the answer is x < -5.

ANSWER ASAP BEFORE CLASS ENDS 50 POINTS !!!

Answers

Answer:

30 to 100

Step-by-step explanation:

cus when y increases 30, x increases 100

30 to 100

because when y increases by 30 x increases by 100

GUYS HELP I HAVE A UNIT TEST ON RATIOS AND PROPORTIONS TOMORROW AND WE ARE ALLOW ONE NOTECARD WHAT SHOULD I WRITE DOWN I OFFER 75 POINTS AND BRAINLIEST

Answers

Answer:

look down

Step-by-step explanation:

well u should know that.....

1. A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0. A proportion is an equation in which two ratios are set equal to each other

2. A unit rate describes how many units of the first type of quantity corresponds to one unit of the second type of quantity. A proportion is an equation that states that two ratios or rates are equivalent.

3. As defined in the lesson on Unit Rate and Proportionality, the unit rate is the rate of change in a relationship where the rate is per 1.

4. A proportion is an equation in which two ratios are set equal to each other. For example, if there is 1 boy and 3 girls you could write the ratio as: 1 : 3 (for every one boy there are 3 girls)

I’m a teacher and what the first person says is spot on and definitely write it down

Angie bikes for 20 minutes burning 150 calories. How many minutes will it take to burn 525 calories?

Answers

Answer:

70 minutes OR 1 hour and 10 minutes (it's the same thing)

Step-by-step explanation:

So this can be modeled by the equation 20/150=x/525

so solving for x, you have to say whats the most times that 150 will go into 525 without going over

the answer is 3

so 150x3=450 and 525-450=75

75 is one half of 150 so it would be 3.5

multiply 20 by 3.5 and you get 70 or 1 hour and 10 minutes since an hour is 60 minutes

Don't forget to give brainliest :)

70 min

Work:

20/150=7.5 Move the decimal

75x7=525

Which circle represents 30% in blue?

Answers

Answer:

The second image. First image is 35%, second is 30%, third is 25% and last one is 50%

i think it’s the last one

Find the difference between 367 and 280

Answers

The percentage difference is about 28.8934%

Answer:

the difference between the 2 is 87

Jake claims that, when two numbers are multiplied together, the product could be less than both factors.

Which of these equations and statements could he use to support his claim?

Answers

Answer:

The first one.

The first one because it supports the question

Enrollment in a business seminar increased from 78 people to 90 people. What was the percent of the increase? Round to the nearest tenth of a percent.

Answers

15.4% (15.3846% to be exact)

pls try to do it fast

Answers

Answer:

4 1/3 is the same as 11 decreased by a number

Step-by-step explanation:

is the same as means =

decreased by means -

a number means x

so 4 1/3=11-x

Answer: 4 1/3 is the same as 11 decreased by a number

Step-by-step explanation:

Go down the line. 4 1/3 match up in the sentence and the equation. Is the same as is another way of saying equal to, so that works. Then, there are both 11s so that checks. Finally, decreased is the same as minus or subtract, and x is a number.

Look at the number line below. A vertical number line labeled from bottom to top from negative 2 to positive 1 with tick marks every 1-sixth unit. There are 4 points marked. The point 1 tick below negative 1 is labeled D. The point 1 tick below 0 is labeled C. The point 1 tick above 0 is labeled B. The point 1 tick below 1 is labeled A. A vertical number line labeled from bottom to top from negative 2 to positive 1 with tick marks every 1-sixth unit. There are 4 points marked. The point 1 tick below negative 1 is labeled D. The point 1 tick below 0 is labeled C. The point 1 tick above 0 is labeled B. The point 1 tick below 1 is labeled A. Which point is located at -\dfrac{1}{6}− 6 1 ​ minus, start fraction, 1, divided by, 6, end fraction?

Answers

Yes the math here is very long

Answer: 0.6666

Step-by-step explanation: its hard to explain but yk try to figure it out.

If you received $3.33 on $61.66 invested at a rate of 0.9%, for how long did you invest the principal?

Answers

Step-by-step explanation:

compounded or not..? then you have to use the Financial maths formula

We invested about 0.54

PLSSS HELP
choices for 1
- g(x) = -x-4
- g(x) = x-5
- g(x) = -x-5
- g(x) = -x-4

choices for 2
- h(x) = -0.5x + 2
- h(x) = -0.5x + 3
- h(x) = -2x + 3
- h(x) = -2x + 2

Answers

For number 1, the answer should be -g(x) = -x - 4

Number 2 should be h(x) = -0.5x + 3

I suggest using desmos graphing calculator for future help. Hope this helps

1: -g (x) = - x - 4

2: -h (x) = - 0.5 x + 3

D is x = 1 sorry could fit it in!!!

Answers

X = 2 because both sides would equal to 12

Answer: X = 2

Step-by-step explanation:

Like the person before me said when you add up on both sides they both equal twelve when you count the x by two so 2 would be the answer that makes the most sense.

5 Michael has $16.25 in the bank. He needs $108 to buy a video game. He finds he can
save $1.75 a week from his allowance. How many weeks must he save in order to have
enough to buy the game?

Answers

Answer:

53 weeks (rounded)

Step-by-step explanation:

First, subtract 16.25 from 108 (108 - 16.25), resulting in 91.75

Next, you divide. 91.75/1.75

You would get 52.42... but you would have to add a week to actually get the game.

53 weeks I think but I rounded it

the length and width of a rectangle are in the ratio 3:1.
a) the length of the rectangle is 2.1m.What is the width?
please help I'm sick and the math ain't mathing today

Answers

Answer:

Step-by-step explanation:

how to divide 3 ÷ 0.4 =

Answers

Answer:

7.5

Step-by-step explanation:

I think the answer is 7.5 I haven’t done this math in a while but I think that answer makes sense

How much interest is earned on $2,566.45 at 0.4% for three years?

Answers

Step-by-step explanation:

you have to use this equation

A=P(1+ın)

A=Total amount

P=Money invested or borrowed

ı=interest [0.4÷100=0.004]

n=Number of years

then substitute and calculate

I believe it’s 164.25. You multiply each year by 0.4.

The ratio of the interior angles of a triangle is 4 : 6 : 8. What are the angle measures? Write the angle measures from least to greatest.
PLLEASEEE HELP ASAPPP

Answers

Answer:

let the interior angle of a triangle be 4x,6x and 8x

According to the question,

The interior angles of the triangle=180

4x+6x+8x=180

or, 18x=180

or,x=180÷18

therefore ans x=10

1st angle=4x( putting the value of x)

=4×10 = 40

2nd angle= 6x =6×10 =60

3rd angle= 8x =8×10 =80

Of you doubt the ans= ( Check out)

Adding all the angles give 180

Adding all the angles give 180 I hope this helps

A track team needed to run or jog 20 laps for their practice. Of the total 20 laps, Sara completed 45, Jamie completed 58, Keenan completed 59, Maya completed 0.833, and Trey completed 0.875. Identify the descending numeric order of the laps completed.

Answers

Answer:

59 keenan

58 Jamie

45 sara

0.875 trey

0.833 maya

The descending numeric order of the laps was completed as 59, 58, 45, 0.875,0.833

What is descending order?

Descending order is defined as when numbers (or other items) are arranged from the largest numbers to the least numbers, it is said to be in descending order.

Sara finished 45 laps, Jamie completed 58, Keenan completed 59, Maya completed 0.833, and Trey completed 0.875.

We have the given numbers as:

45, 58, 59, 0.833, 0.875

we have to determine the descending order of given numbers

Here the largest numbers to the least numbers, it is said to be in descending order.

⇒ 59  > 58  > 45  > 0.875 > 0.833

Hence, the descending numeric order of the laps completed:

Keenan completed 59 laps

Jamie completed 58 laps

Sara completed 45 laps

Trey completed 0.875 laps

Maya completed 0.833 laps

Learn more about the descending order here:

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help me pleasee, giving 10 points for itt

Answers

Answer:

(-1,0)

Step-by-step explanation:

May it will be correct

(-1,0) I am pretty sure because I did the work

Question on photo!!! Help please!!

Answers

Answer:

ITS B)

Step-by-step explanation:

NP:D

The answer is B. Multiply all the sides together to calculate the surface area of a rectangular prism. Length x width x Height

Shawn invites some friends over for pizza and a movie. He makes a small cheese pizza for himself and a large pepperoni pizza for his friends. Shawn uses 0.75 pounds of dough for the cheese pizza and twice as much dough for the pepperoni pizza. How much dough does Shawn use in all?

Answers

The amount of dough used for the pepperoni will be twice that of the cheese or 2 times the amount of dough.

Answer:

The amount of dough used for the pepperoni will be twice that of the cheese or 2 times the amount of dough.

Step-by-step explanation:

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