An architect designs two similar triangular patios. The first patio has angle measures of (x − 10)°, (y + 25)°, and 60°. The second patio has angle measures of (x – 5)°, 55°, and 65°. Find the values of x and y.

Answer:

72 degrees

Step-by-step explanation:

Referencing off of line t being a straight line, a straight line is 180 degrees. If you subtract 108 from 180, you would get 72. Since this intersecting line is going through 2 paralel lines, the 2 groupings of angles reflect each other.

Answer:

6.66

Step-by-step explanation:

Answer:

m=1

Step-by-step explanation:

slope formula is y=mx-b

whenever a variable is by itself, the coefficient is always 1

Answer:

x = 7

Step-by-step explanation:

8x + 5 = 61

8x = 56

x = 7

The solution is Option D.

The fair price of a 1900 ft² home is given by the equation A = $ 176,000

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the square feet of the house be represented as x

Let the number of houses be represented as y

Let the first point be P ( 1400 , 105)

Let the second point be Q ( 1500 , 183 )

Now , the slope of the equation is given by

Slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Slope m = ( 183 - 105 ) / 1500 - 1400

Slope m = 78 / 100

Slope m = 0.78

Now , the equation of line is y - y₁ = m ( x - x₁ )

Substituting the values in the equation , we get

y - 1400 = 0.78 ( x - 105 )

On simplifying the equation , we get

y - 1400 = 0.78x - 81.9

Adding 1400 on both sides of the equation , we get

y = 0.78x + 1318.1

Therefore , the value of y is 0.78x + 1318.1

Hence , the equation of line is 0.78x + 1318.1 and the price is $ 176,000

To learn more about equation of line click :

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Answer:

Step-by-step explanation:

b i think

Answer:

15y + 12

Step-by-step explanation:

[tex]\frac{3}{2}[/tex] (10y + 8) = [tex]\frac{3}{2}[/tex] × 10y + [tex]\frac{3}{2}[/tex] × 8

Expand the brackets.

[tex]\frac{3}{2}[/tex] × 10y + [tex]\frac{3}{2}[/tex] × 8 = 15y + 12

Answer:

The difference in prices is 0.12x where x is the last year’s price

Step-by-step explanation:

Here, we want to create an expression

Let the price last year be x

12% more this year mean;

x + 12% of x

= x + 0.12x = 1.12x

So the difference between this year and last year will be;

1.12x - x = 0.12x

Answer: 6

Step-by-step explanation:

+ 2x=2(x)=2(3)

Answer:

1661.9

Step-by-step explanation:

Answer:

6264

Step-by-step explanation:

(2+2)×2-11×+28 6×2

= 6264

Answer:

I...what kinda question is dis

Answer:

ok

Step-by-step explanation:

:D

Answer:

No

Step-by-step explanation:

Each separate line could be part of a different plain.

Answer:

If two distinct planes intersect, then their intersection is a line. Through any two points, there is exactly one line. If two points lie in a plane, then the entire line containing those points lies in the plane.

Step-by-step explanation:

Answer:

18 pages

Step-by-step explanation:

18 pages would cost $14.40 and the you add $35 for the setup fee. This makes the total $49.4 and no more pages can be added because it would cost too much.

Answer: Its C

Step-by-step explanation:

Since 2/3 and 1/5 are smaller than 1 but bigger than 0 they will be in between 0 and 1.

2/3 is closer to 1 and 1/5 is closer to 0

Answer:

17,046.92 i think

Step-by-step explanation:

Answer:

is A

Step-by-step explanation:

Answer:

A.  patriotic . . . citizenship

Step-by-step explanation:

Edge 2020 or Time4learning

Answer:

2/3 = 6/9

Step-by-step explanation:

2 x 3 = 6 so then you have to multiply 3 with 3 which is 9. (because the numerator and denominator should be multiplied by the same number.)

So thats why 2/3 = 6/9 is correct.

Answer:

The answer to #6 is 255

The answer to #7 is the mint milkshake is thicker

The answer to #8 is A is 12 and B is 18

The answer to #9 is A is 33 and B is 15

Missing values:

1. 1:7 , 3:21, 18:126

2. 20:12 , 10/3:2 , 8 1/3:5

3. 42:21 , 6:3 , 48:24

4. 4:10 , 8:20 , 16:40

5. 36:32  18:16

Step-by-step explanation:

#2: The first ratio is shown, which is 5:3.  Meaning, that the bottom number (cakes) is multiplied by 5/3 in order to get the top number (pies).   We can apply that to the ratio with 12 cakes, 12 multiplied by 5/3 is 20.  The next ratio involved 10/3 pies.  Since that is the "top" number (see chart), 10/3 need to be multiplied by 3/5 instead of 5/3.  By doing that, the number of cakes is 2.  

#7: The ratio of milk to ice cream in the mint milkshake is 1.25:4

The ratio of milk to ice cream in the strawberry milkshake is 1.75:5

When the ratios are divided, the quotient for the mint milkshake (0.3125) is LESS than the quotient for the strawberry milkshake (0.35).  This means that there is less milk and more ice cream (ratio-wise) in the mint one.

Answer:

A

Step-by-step explanation:

When 5 goldfish were added, the cost increased by $1.50, so we can divide 150/5 to find the increase of cost from one goldfish which is 30 cents.

Answer:

26

Step-by-step explanation:

If each row has an equal number of trees, you would divide the total number of trees by the number of rows. 858/33 is 26

Answer:

26

Step-by-step explanation:

858 divided by 33 equals 26.

Answer:

90

Step-by-step explanation:

.

Answer:

405/2

202 remainder 1

Step-by-step explanation:

pliz mark brainliest

Answer:

81×(-5)÷2

-202.5

-405 down 2 , -202 1down2

Step-by-step explanation:

did I got wrong? ?

Answer:

Area = 43.26

Step-by-step explanation:

There is a short way to do this.

Area = 1/2 s*t * Sin(R)

s = 14

t = 7

Area = 1/2 * 14 * 7 * Sin(62)

Area = 7 * 7 * sin(62)

Area = 49 * sin(62)

Area = 43.26

==================

There is another way you could do this.

Use the Cos law to find r

Then use Heron's formula to find the area. Trust me, you don't want to do that.

Doing the way I suggested gives 43.19. The difference is in what I did in the rounding. But I wouldn't want to type all the numbers.

Answer:

32

Step-by-step explanation:

You must divide 288 by 18 and then double the answer you get.

Answer:

78°

Step-by-step explanation:

42+60=102

180-102=78

Answer:

Step-by-step explanation:

first find the final interior angle since we need it to find the exterior

60 + 42 = 102

180 - 102 = 78 degrees

then we just have to do 180 - 78 bc we have a straight line and straight lines are always 180 degrees

180 - 78 = 102 degrees

x = 102

you honestly could just take the 2 values you already know and add them and use that lol

hope this helps <3

Answer:

5.5

Step-by-step explanation:

Answer: actually 5.504 rounded to 5.5

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

BRAINLIEST PLEASE

Answer:

C

Step-by-step explanation:

to find how much hours dan played the equation would be:

d = 2s - 4

to find the total:

s + d = 17

hope this helps :)

Answer: ABOVE

Explanation: This is what you did to countless others

Answer:

$1.23

Step-by-step explanation:

divide 8.61 by 7 binders to get the final answer of $1.23