Find the measure of angle x and angle y

Answer:

x = - 5, x = 3

Step-by-step explanation:

Given

x² + 2x - 15 = 0

Consider the factors of the constant term (- 15) which sum to give the coefficient of the x- term (+ 2)

The factors are + 5 and - 3 , since

5 × - 3 = - 15 and 5 - 3 = + 2, so

x² + 2x - 15 = 0

(x + 5)(x - 3) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 5 = 0 ⇒ x = - 5

x - 3 = 0 ⇒ x = 3

The equation of the blue line will be

y = 4x -3

The equation of the line that passes through the points (1, 1) and (2, 5) is y = 4x - 3.

We have,

To find the equation of the line that passes through the coordinates (1, 1) and (2, 5), we can use the point-slope form of the equation of a line.

The point-slope form of the equation is:

y - y1 = m(x - x1)

Where (x1, y1) represents one of the given points on the line, and m represents the slope of the line.

First, let's calculate the slope (m) using the given coordinates:

m = (y2 - y1) / (x2 - x1) = (5 - 1) / (2 - 1) = 4 / 1 = 4

Now, we can choose either of the given points and substitute its coordinates into the point-slope form. Let's use (1, 1):

y - 1 = 4(x - 1)

Simplifying the equation:

y - 1 = 4x - 4

y = 4x - 3

Therefore,

The equation of the line that passes through the points (1, 1) and (2, 5) is y = 4x - 3.

Learn more about the equation of a line here:

https://brainly.com/question/23087740

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Answer:

a)  constant of proportionality is 3/5

b)  3.5cm per 1 minute

c)  21 cm water in trough after 6 min

d)  70 cm

Step-by-step explanation:

d)  21 / 6 = x / 20

    7 / 3 = x / 20    

    2x = 140

    x = 70

Answer:

The length of the missing side is:  x = 15

Thus, option A) is the correct option.

Step-by-step explanation:

Let 'x' be the missing sides.

From the given triangle, it is clear that the segment cuts the sides into proportional ratios such 9 : 12 and x : 20 respectively.

Therefore,

9 : 12 = x : 20

9/12 = x/20

cross multiplication

12 × x = 20 × 9

12x = 180

divide both sides by 12

12x/12 = 180/12

x = 15

Therefore, the length of the missing side is:  x = 15

Thus, option A) is the correct option.

Answer:

Each ticket is $4.25 and five tickets would cost $21.25

Step-by-step explanation:

Answer:

x = 16 is the answer

Step-by-step explanation:

Answer:

Answer

Area of tiles = 16 x area of 1 Δ

S=  

2

a+b+c

​  

=  

2

9+28+35

​  

=  

2

72

​  

=36

Area=  

36(36−9)(36−28)(36−35)

​  

36×27×8×1

​  

36  

6

​  

cm  

2

Area of tiles = 16 ×36  

6

​  

=1410.20.

Cost of polishing per cm  

2

 = 50.

Cost of polishing = 1410.90 cm  

2

1410.90 x  

2

1

​  

705.45

Step-by-step explanation:

Answer:

[tex]x=6.25[/tex]

Step-by-step explanation:

FM=3.2x

JG=40

Generally the diagonal of a rectangle are equal to each other and diagonal bisects each other

Therefore

[tex]2FM=JG[/tex]

[tex]2*(3.2x)=40[/tex]

[tex]x=40/6.4[/tex]

[tex]x=6.25[/tex]

Answer:

x=6.25

Step-by-step explanation:

Answer:

what are the answers?

Step-by-step explanation:

Otherwise it isn't answerable

Answer:

10 or [tex]\sqrt{100}[/tex] (in surds)

Step-by-step explanation:

[tex]\sqrt{5}[/tex] × [tex]\sqrt{5}[/tex] × [tex]\sqrt{2}[/tex] × [tex]\sqrt{2}[/tex]  = 5×2 = 10 or [tex]\sqrt{100}[/tex]

When the same square root multiply each other, they equal to the number in the square root. E.g. [tex]\sqrt{5}[/tex] × [tex]\sqrt{5}[/tex] = 5 because [tex]\sqrt{5}[/tex] × [tex]\sqrt{5}[/tex]  also equals to [tex]\sqrt{25}[/tex], which is 5.

Hope this is helpful :)

Answer:

Angle 4 is 65°

Step-by-step explanation:

180-115=65

Answer:

m<4 would be 65 degrees.

Step-by-step explanation:

You know they add up to 180, so 180 - 115 = 65 degrees.

Answer:

y=2x+1

Step-by-step explanation:

Answer:

No mode

Median 7

Step-by-step explanation:

Mode: The mode is the element that occurs most in the data set. In this case, all elements occur only once, so there is no mode.

Median: Arrange the data in an ascending order and the median is the middle value. If the number of values is an even number, the median will be the average of the two middle numbers.

Answer:

Mode: no mode

No mode because there are no repeating numbers.

Median=7

Put in order from least to greatest- 1,6,7,42,81

Find the one in the middle- 7

Answer:

The answer is the girls ate more.

Step-by-step explanation:

I divide the amount of ice cream for the girls and the boys and the results came out as the girls ate more then the boys.

Answer:

44.7213595

Step-by-step explanation:

I need to write something here apparently

Answer:

Taking my points

Step-by-step explanation:

You spammed my own question

Answer:

You have to put this in a bar model yourself so convert it later

She bought 10 apples

Step-by-step explanation:

3x + 2 = 14

why i did this

because she bought 2 times the amount of bananas, it should be x + 2x = 3x

then i added two because she bought two extra apples

so 3x+2 = 14

subtract 2

3x = 12

x = 4

So now we substitute x in apples

2x +2 = # of apples

8 +2 = 10

check

10 - 2 = 8

8/2 = 4

4 = # of bananas

Answer:

Anna bought 4 bananas and 10 apples.

Step-by-step explanation:

System of Equations

Let's call the following variables:

x = number of bananas Anna buys

y = number of apples Anna buys

She buys 2 more apples than twice the number of bananas, thus:

y = 2x + 2      [1]

Anna bought 14 fruits in total, thus:

x + y = 14      [2]

Substituting [1] in [2]:

x + 2x + 2 = 14

Simplifying:

3x = 12

Dividing by 3:

x = 4

Substituting in [1]:

y = 2*4+2 = 10

Anna bought 4 bananas and 10 apples.

Answer:

use math.way.com

Step-by-step explanation:

Because the answer to X is a negative number, and negative numbers are needed for negative answers

Answer: because it won’t make sense if it was 74y it has to have an equation or expression.

Step-by-step explanation: I’m not that smart and I have no friends on brainly but hope it helps and makes your day.

Answer:

amswer is 7mph

Step-by-step explanation:

i said so

Answer:

C) y = 2/3x + 2

Step-by-step explanation:

first find the slope:

(0,2)

(3,4)

(4-2)/(3-0)

2/3

y = 2/3x + b

2 = 2/3(0) + b

b = 2

y = 2/3x + 2

Answer:

its B.

Step-by-step explanation:

Answer:

14

its math dude

answer

-8

explanation

3-(-8) = 11

add me as brainliest please

Answer:

1. draw a line from the bottom left quadrant to the top right quadrant

2. draw a line from the top left quadrant to the bottom right quadrant

3. draw a horizontal line in any quadrants

4. draw a vertical line in any quadrants

5. Connect to the dots by going up to and right two. The slope will be 1.

6. Connect the dots by going up four and left two. The slope will be -2.

7. Connect the dots by going up for and right one. The slope will be 4.

8. You cannot connect the dots because it's a zero slope, so the slope is 0.

Step-by-step explanation:

Hope this helpsss! :)

Answer:

Step-by-step explanation:

Let the previous salary be x

Increase = 5%

New salary = £880

Answer:

Step-by-step explanation:

according to the question

[tex]x \times \frac{105}{100} = 880[/tex]

[tex]x = 880 \times \frac{100}{105} [/tex]

[tex]x = 838.10[/tex]