An architect designs two similar triangular patios. The first patio has angle measures of (x + 10)°, (y + 15)°, and 70°. The second patio has angle measures of (x + 20)°, 50°, and 60°. Find the values of x and y.

Answers

Answer 1

Answer:

x is 50

y is 55

Step-by-step explanation:

Let us start working with the second patio

At any point in time, the total measure of the angles of a triangle is 180

Thus in the second patio;

x + 20 + 50 + 60 = 180

x + 130 = 180

x = 180-130

x = 50

In the first patio;

x + 10 + y + 15 + 70 = 180

substitute 50 for x

50 + 10 + y + 65 = 180

60 + 65 + y = 180

y = 180-60-65

y = 55

Answer 2

Answer:

the other answer above is wrong,

x=50

y=35


Related Questions

Guys plssssssss! I want to spend time today and tomorrow with my fam before they go back to Washington

Answers

Answer:

10) It increased by appoxamately 17%.

11) 255 decreased by 20%

12) 15 increased by [tex]66\frac{2}{3}[/tex]%

13) $9,450

14) $149.8

15) $238.5

Step-by-step explanation:

10) 170 is greater than 150 by 25. 25 is [tex]16\frac{2}{3}[/tex]% of 150, so it increased by appoxamately 17%.

11) 225 is decreased by 45. 45 is 20% of 100, so 255 decreased by 20%

12) 15 is increased by 10. 10 is [tex]66\frac{2}{3}[/tex] of 15, so 15 increased by [tex]66\frac{2}{3}[/tex]%

13) 5% of 9,000 is 450. 450 + 9,000 is $9,450

14) 7% of 140 is is 9.8. 140 + 9.8 = $149.8

15) 6% of 225 is 13.5. 225 + 13.5 = $238.5

Devon wants to build a rope bridge between his treehouse and Cheng's treehouse.
Suppose Devon's treehouse is directly behind Cheng's treehouse. At a distance of 20
meters to the left of Devon's treehouse, an angle of 52° is measured between the two
treehouses. Find the length of the rope.
A. 36.7
B. 4.2
C. 16.9
D. 25.6

Answers

I think the answer would be D. 25.6

What is an equation of the line that passes through the points (-4, -1)and (3, -8)
Put your answer in fully reduced form.

Answers

I'm pretty sure the answer is 0 because (-4,1) - (3,-8) gets you 0

Helpppp with this plssss

Answers

Answer:

26.411

Step-by-step explanation:

In 3a+bc-c you have to substitute

a=8.6, b=2.3, c=0.47

3*8.6 + 2.3*0.47 - 0.47 first do the multiplication then addition and subtraction

25.8 + 1.081 - 0.47=

26.411

Leah would like to earn at least $120 per month. She babysits for $5 per hour and works at an ice cream shop for $8 per hour. Leah cannot work more than a total of 20 hours per month. Let x represent the number of hours Leah babysits and let y represent the number of hours Leah works at the ice cream shop.

Which pair (x, y) represents hours that Leah could work to meet the given conditions? Select all that apply.

A.
(2.5, 15)

B.
(5, 20)

C.
(7.5, 12.5)

D.
(17.5, 5)

E.
(19, 1)

Answers

Answer:

A,B and C

Step-by-step explanation:

pls help will give brianly for help Find the quotient:

–20 ÷ 5

Answers

Answer:

The answer is -4 :)

Step-by-step explanation:

Answer:

-20 divided by 5 = -4

Step-by-step explanation:

if AC=3, BC=5, and AB=7, find AD:
11 2/3
2 5/8
4 3/8
4 1/5

Answers

Answer:

[tex]2\frac{5}{8}[/tex]

Step-by-step explanation:

It's true

PLEASE HELP I AM TIMED!

Answers

Answer:

i believe it would be 45 is greater than or equal to 3x + (3x-1) + [(3x-1)-4]

I hope you pass. Plz correct me If I am wrong

Step-by-step explanation:

Find the slope of the line that passes through (7,2) and (3,3)​

Answers

Answer:

1 over 4

Step-by-step explanation:

Answer:

the answer is [tex]\frac{1}{-4\\}[/tex]

Step-by-step explanation:

slope= [tex]y_{2}[/tex]-[tex]y_{1}[/tex]

           [tex]x_{2}[/tex]-[tex]x_{1}[/tex]   so 3-2=1 and then 3-7=-4

idk men PLEASE HELP!

Mr. Villamayor rented a construction crane for five hours and a backhoe for seven hours. The total amount he paid is less than Php 9,000. Suppose the hourly rate for the crane is Php 800. What is the maximum amount he paid for the backhoe to the nearest hundreds?​

Answers

Answer:

Let 7x be the rent paid for backhoe for seven hours.

Step-by-step explanation:

Keyword: maximum amount, the most

    Inequality symbol:  ≤

     (800 × 5) + 7x ≤ 9,000

     4,000 + 7x ≤ 9,000

     7x ≤ 9,000 - 4,000

     7x ≤ 5,000

     7x ÷ 7  ≤  5,000 ÷ 7

     x ≤ 714.29

To the nearest hundreds:

     x ≤ 700

ANSWER:  The maximum rental fee per hour  of backhoe is Php 700.00 (rounded off to the nearest hundreds).

To check if he paid less than 9,000 for the total rent:

    (800 × 5) + (700 × 7) < 9,000

    4,000 + 4,900 < 9,000

    8,900 < 9,000    (True)

HELP ASAP PLEASE WILL MARK BRAINIEST

Answers

Answer:

40

Step-by-step explanation:

PLEASE HELP WILL GIVE BRAINLIEST IF CORRECT
figure out the miles per hour (mph)
1. what is the mph if the time is 1 hour 42 min and the distance is 935 miles?
2. what is the mph if the time is 36 min and the distance is 330 miles?

Answers

Answer:6.67 for number 1

Step-by-step explanation:

Answer:

Answer 1 is 550

and 2 is also 550

Step-by-step explanation:

The area of on field is 16 acres, the area of the second field is 1 1/4 times bigger. A barn of wheat on the first field makes up 37 1/2 thousands pounds per acre, and on the second 1 2/15 as much per acre, how much more was gathered on the second field than the first?

Answers

Answer:

250 thousand pounds

Step-by-step explanation:

Given that:

Area of field 1 = 16 acres

Area of field 2 = 1 1/4 bigger than field 1

Barn of wheat on field 1 = 37 1/2 thousands pounds per acre

Barn of wheat on second field = 1 2/15 as much as field one per acre

Total pounds gathered on field 1 :

37 1/2 * 16 = 600 thousand pounds

Area of second field :

1 1/4 * 16 = 5/4 * 16 = 20 acres

Barn of wheat per acre = 1 2/15 * 37 1/2

= 17/ 15 * 75/2 = 42 1/2 thousand pounds per acre

Total = 42 1/2 * 20 = 850 thousand pounds.

850 - 600 = 250 thousand pounds

Solve the compound inequality. 3x − 4 > 5 or 1 − 2x ≥ 7 A. x ≤ −3 or x > 3 B. x −3 or x ≤ 3

Answers

Answer: B

Step-by-step explanation:

Answer i guess its b then

Step-by-step explanation:

Pumpkin pie is on sale for $12.50. How much will it cost to buy enough to feed 20 people? Please help me!

Answers

Answer:

$37.05

Step-by-step explanation:

thats what i got so it might not be right

If a 90°degree angle is bisected, the two angles created by the bisector will equal?

Answers

Answer:

45 degrees

Step-by-step explanation:

when an angle is bisected both angles formed are equal, so 90/2=45

yes, if it says it’s bisected it means the angle will be divided into half.

In one month, a cell phone company charges $50 and additional $0.05 for each text message. The company charged Christian $80 for October. How many text messages did Christian send in October?

Answers

Answer:

He has 1000 text messages.

Step-by-step explanation:

50 for a month and 0.05 for every text message

0.05x100=5

0.05x1000=50

The difference of twice a number and 9

Answers

Answer:

I belive that the answer is 8

Answer:

10 and 8 and 18,

Step-by-step explanation:

first of all 18 is half of 19, and 10 and 8 are between 9

I added pics cause it’s 2 in the morning.. I’m having back pain, thigh pain, cramps EVERYWHERE.. headache and just finished babysitting my baby brother.. help a gurl out please

Answers

Answer:

7^39

Step-by-step explanation:

[tex](7^{13})^{3} * 7^{0} \\\\(7^{13*3}) * 1 \\\\=7^{39}[/tex]

This does not make sense to me

Answers

to find area you have to multiply length x width. so to find your answer the equation should be 15/22 x 2/5

[tex]\frac{3}{11}[/tex]

how do solve slope and for the y axis?

Answers

Answer:

Slope = rise/run or y2-y1/x2-x1 (change in y over change in x)

Y-intercept (I'm assuming you mean y-intercept instead of y axis) = if there's a graph, find where the line intersects the y axis, if there isn't a graph, use y=mx+b to solve for b, the y-intercept.

Hope this helps!

slope the the rise over the run and slope is where the slope hits the y axis

I need help take all my points I really need help .

Answers

Answer:

1. Median

2. 4.5

Step-by-step explanation:

There are 10 numbers so the median is 4 and 5 which makes the median 4.5.

HOPE THIS HELPS

PLZZ MARK BRAINLIEST

Answer:

1. Median

2. 4.5

Step-by-step explanation:

There are 10 numbers so the median is 4 and 5 which makes the median 4.5.

HOPE THIS HELPS

PLZZ MARK BRAINLIEST

Write each percent as a decimal. 1.) 22% 2.) 75% 3.) 6% 4.) 189%

Answers

Answer:

xztghdrtjgxzdrf

Step-by-step explanation:

1) .22 2) .75 3) .06 4) 1.89

THE LENGTH AND THE BREADTH OF A RECTANGULAR PARK ARE IN THE RATIO 5 : 2. IF ITS PERIMETER IS 168m, FIND ITS LENGTH AND BREADTH.


(STEP BY STEP PLZ) (HOPE U ENJOY IT)​

Answers

Answer:

Length = 60m, breadth = 24m

Step-by-step explanation:

Let the length of the park be 5x and the breadth 2x.

5x+5x+2x+2x = 168

14x = 168

x = 168 ÷ 14

x = 12

Length (5x) = 12 × 5

                   = 60

Breadth (2x) = 12 × 2

                    = 24

Answer:

Length = 60m, breadth = 24m

(100)+ (-55) + (-90)​

Answers

Answer:

-45

Step-by-step explanation:

Start by subtracting 100-55 (The reason you subtract is because a positive plus a negative can also be subtracting)

Next  Add that answer (45) to -90

Finally you get -45

9 is 3% of what number? Which proportion matches this information?

Answers

Answer:

B

Step-by-step explanation:

3% = 3/100

So we can eliminate the first answer.

The proportions have to match each other so the number nine should be above and thus the x has only the option of being under it.

As a result, we eliminate the third answer and remain with one reasonable answer

Which expression is equivalent to 28 + 64?

2(14 + 40)

2(14 + 40)

4(7 + 16)

4(7 + 16)

4(24 + 32)

4(24 + 32)

8(20 + 56)

8(20 + 56)

Answers

Answer:

4(7 + 16)

Every other answers does not equal 92

28+64=92

4(7+16)

7+16=23

23x4=92

Triangle QRS is transformed as shown on the graph. Which rule describes the transformation?​

Answers

Answer:

270°

Step-by-step explanation:

(x , y) --> (y, -x)

90° clockwise rotation

270° anti-clockwise rotation

45 POINTS IF YOU STEAL POINTS IM REPORTING YOU I NEED THE ANSWER
Caisha has a circular garden with a radius of 4 ft. She needs to put a layer of soil on top. Each bag of soil covers 9.42 square feet. How many bags of soil will she need to buy? 5 bag 6 bags 7 bags 8 bags

Answers

Answer:

5

Step-by-step explanation:

A = 50.2654825

idk it could be 6

Select the correct answer.
Which statement is false?

A.
The inequality sign always opens up to the larger number.
B.
The greater number in an inequality is always above the other number on the vertical number line.
C.
The smaller number in an inequality is always located to the left of the other number on the horizontal number line.
D.
The inequality sign always opens up to the smaller number

Answers

C The smaller the number in an inequality is always located to the left of the number on the horizontal line!!

Answer:

I think it might be C or B

Step-by-step explanation:

Hope this helped have a nice day :)

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