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:

3 1/2 puzzles

Step-by-step explanation:

Answer:

Answer A is Linear.  You can see this because each term is equal to the previous term plus a fixed amount (3), making it an arithmetic sequence.

Answer B is not linear.  This is because each term is a multiple of the previous one, making it a geometric sequence.

Answer:

Function A

Step-by-step explanation:

Each time x increases by 1, y increases by 3. Function B is exponential instead of linear, because y increases by a larger number each time rather than increasing by the same amount.

Good luck :)

Answer:

The equation would be y=7

Answer:

a. 7

b 8

c 9

d 10

e 10

f 44

Step-by-step explanation:

Answer:

The answer is below

Step-by-step explanation:

a) The equation of a line passing through the point (0,0) and ​(16​,4​) is given by:

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\\\\y-0=\frac{4-0}{16-4}(x-0)\\\\y=\frac{1}{4}x[/tex]

We have to find the equation of the line perpendicular to y = (1/4)x and passing through the point (4,6).

The line perpendicular to y = (1/4)x has a slope of -4 (product of their slope = -1).

Hence:

[tex]y- y_1=m(x-x_1)\\\\y-6=-4(x-4)\\\\y-6=-4x+16\\\\y=-4x+22[/tex]

The slope of a line passing through the point (16,4) and ​(4​,6​) is given by:

[tex]m=\frac{y_2-y_1}{x_2-x_1}\\\\m=\frac{6-4}{4-16}=-\frac{1}{6}[/tex]

We have to find the equation of the line perpendicular to  the line with slope of -1/6 and passing through the point (0,0).

The line perpendicular to a line with slope -1/6 has a slope of 6

Hence:

[tex]y- y_1=m(x-x_1)\\\\y-0=6(x-0)\\\\y=6x[/tex]

Solving y = 6x and y  = -4x + 22, gives:

x = 2.2, y = 13.2

Hence the orthocenter is at (2.2, 13.2)

b)

The slope of a line passing through the point (3,4) and ​(11​,12​) is given by:

[tex]m=\frac{y_2-y_1}{x_2-x_1}\\\\m=\frac{12-4}{11-3}=1[/tex]

We have to find the equation of the line perpendicular to  the line with slope of 1 and passing through the point (8,15).

The line perpendicular to a line with slope 1 has a slope of -1

Hence:

[tex]y- y_1=m(x-x_1)\\\\y-15=-1(x-8)\\\\y=-x+8+15\\\\y=-x+23[/tex]

The slope of a line passing through the point (11,12) and ​(8​,15​) is given by:

[tex]m=\frac{y_2-y_1}{x_2-x_1}\\\\m=\frac{15-12}{8-11}=-1[/tex]

We have to find the equation of the line perpendicular to  the line with slope of -1 and passing through the point (3,4).

The line perpendicular to a line with slope -1 has a slope of 1

Hence:

[tex]y- y_1=m(x-x_1)\\\\y-4=1(x-3)\\\\y=x-3+4\\\\y=x+1[/tex]

Solving y = -x + 23 and y  = x + 1, gives:

x = 11, y = 12

Hence the orthocenter is at (11, 12)

Answer:

the first one

Step-by-step explanation:

in the first one it says there are no common numbers between x and y which is false.

in the second one its the union of x and y which means that you must list all numbers in x and y without repetition

the third one states that 15,33,1025 are the only numbers that are common between x and y.

so as a breif the first one is wrong

Answer:

first choice

Step-by-step explanation:

Answer:

the square of -5 is 25 not -25

, -4(1)(-3) is 12 not -12 because when we multiply 2 negative numbers their result is positive

+5 should be written instead of -5

Step-by-step explanation:

+5 should be written instead of -5 as the formula is (-b+-(b²-4ac)½)/2a . since b=-5 ;-b=+5

Answer:

225° = 5π/4 radians.

Step-by-step explanation:

hope this helps :D

The radian measure of an angle of 225 degrees is 1.25π radian or 3.925 radians.

Given,

225 degrees.

We need to find the radian measure of 225 degrees.

We have,

π radian = 180 degree

So,

2π = 360 degrees.

This is the formula for the radian of an angle.

Find the radian measure for 225 degrees.

We have,

π radian = 180 degrees

Multiply 225/180 on both sides by 180.

225/180 x π radian = 225/180 x 180 degrees

1.25 π radian = 225 degrees

or

We can take π = 22/7 = 3.14

225/180 x 3.14 radian = 225 degrees.

3.925 radian = 225 degrees

Thus the radian measure of an angle of 225 degrees is 1.25π radian or 3.925 radians.

Learn more about the measure of an angle from a radian here:

https://brainly.com/question/8916147

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Answer:

The sample space of an experiment is the set of all possible outcomes of that experiment.

Answer:

Y, P, R, B (or something like that)

Step-by-step explanation:

just read what the other answer said

Answer:

9 pounds of chocolate candies

6 pounds of sugar candies

Step-by-step explanation:

x + y = 15

y = 15 - x

(7x + 2y) / 15 = 5

7x + 2y = 15 * 5 = 75

7x + 2 * (15 - x) = 75

7x + 30 - 2x = 75

5x = 45

x = 9

15 - 9 = 6

y = 6

9 pounds of chocolate candies and 6 pounds of sugar candies

The owner should use 6 pounds of the chocolate candies, and the other 9 pounds of the sugar candies.

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

Given that owner of a grocery store wants to mix two kinds of candy together to make 15 lb that he can sell for $5.00 per lb.

He wants to use chocolate candies that he sells for $7.00 per lb and sugar candies that he sells for $2.00 per lb.

x + y = 15

y = 15 - x

(7x + 2y) / 15 = 5

7x + 2y = 15 x 5 = 75

7x + 2  (15 - x) = 75

7x + 30 - 2x = 75

5x = 45

x = 9

Now 15 - 9 = 6

y = 6

Threfore, we conclude that 9 pounds of chocolate candies and 6 pounds of sugar candies.

Learn more about equations here;

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Answer:

0, -4

2,0

-4,0

-2,-8

Step-by-step explanation:

I chose the points that were most visable

Answer: m=6.2t, 148.8 miles

Step-by-step explanation:

to figure out the equation we do 93/15=6.2 and we make it into a equation which is m=6.2t. since we know the butterfly travels 6.2 per hour we do 6.2 x 24 = 148.8

sorry if it's wrong

Answer:

7 hours

Step-by-step explanation:

2 divided by 14

i hope this helped

Answer:

7 hours

Step-by-step explanation:

Answer:

1) $500

Step-by-step explanation:

It literally says $500 on the table hope this helps :D

For #2, i cant see the full question.

Hope this helps :D Please hit the crown if you want me to help you on the last one then tell me and make a new question !!!!!!!!!!!!

Answer:

500, x times 500 = y

Step-by-step explanation:

Question 1: $500, if you look at the table underneath the section for "one" compute it says 500 in the cost section.

Question 2: X times 500 = Y (since for every "x" (computer) there is $500 "y" (cost))

Answer:

What are the problems?

Step-by-step explanation:

Using Pedmas  to get the equation to be true add parenthesis around the 8-5:

4 x (8-5) = 12

This becomes 4 x 3 = 12 which is true.

9514 1404 393

Answer:

  14

Step-by-step explanation:

Assuming the grade is proportional to the number of problems answered, we have ...

  a/20 = 70/100

  a = 20(0.70) = 14 . . . . multiply by 20

The student answered 14 problems correctly.

Answer:

4

Step-by-step explanation:

Answer: 660 is divisible by 2,4, 5, 11 and 3

Answer:

Step-by-step explanation:

both of those equations that are in the system are lines

first line it has a y-intercept at (0, -4) and a slope -1/2 so you can use that to

find another point ( 2 ,-5)

Since the equation has ≥ DRAW a solid line trough points (0, -4) and (2,-5)

Now highligt above the line since (0,0) cheks for the equation

second line goes troughh the points  (0,1) because of y-intercept and point (1,2) because the slope is m=1

draw a solid line trough those points and highlight under the line

the intersection of the 2 highlighted ares is your solution

Answer:

N K Q

Step-by-step explanation:

Answer:

10,15

Step-by-step explanation:

Answer:

AC=39

Step-by-step explanation:

-x+25=3(2x-8)

-x+25=6x-24

49=7x

x=9

AC = 2(-9+25)=-11+50=39

Answer: 11,700,000

Step-by-step explanation:

Number of people in Pennsylvania =13,000,000

Fraction of people that will show Christmas spirit for Santa's sleigh to deliver all packages = 9/10

The number of people that would have to show Christmas spirit for packages to be delivered in PA will be:

= 9/10 × 13,000,000

= 11,700,000