The three angles in a triangle have measures of 55°, 75°, and (2x)°. What is the value of x?

Answer:

[tex]\frac{19}{7}[/tex]x+[tex]\frac{11}{7}[/tex]y+5=0

Step-by-step explanation:

the intersection of x-2y=0 and 3x+y+5 is ([tex]\frac{-10}{7}[/tex];[tex]\frac{-5}{7}[/tex])

=> the line : [tex]\frac{19}{7}[/tex]x+[tex]\frac{11}{7}[/tex]y+5=0

Answer:

[tex]Point \ of \ intersection = (\frac{-10}{7} , \frac{-5}{7})\\\\Equation \ of \ line : y = -\frac{19}{11}x - \frac{35}{11}[/tex]

Step-by-step explanation:

Find intersection of the given lines :

x - 2y = 0 => x = 2y ----------- ( 1 )

3x + y = - 5 -------------------- ( 2 )

Substitute ( 1 ) in ( 2 ) :

                               3x + y = - 5

                               3 ( 2y ) + y = - 5

                                6y + y = - 5

                                  7y = - 5

                                    [tex]y = -\frac{5}{7}[/tex]

Substitute y in ( 1 ) :

                            x = 2y

                           [tex]x = 2 \times \frac{-5}{7} = - \frac{10}{7}[/tex]

[tex]Therefore , \ point \ of \ intersection\ is ( -\frac{10}{7}, -\frac{5}{7} )[/tex]

To find the equation of the line passing through ( - 3, 2) and point of intersection :

Standard equation of a line : y = mx + b , where m is the slope, b is the y intercept.

So step 1 : Find slope , m:

 [tex]slope, m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]       [tex][ \ where \ (x_1, y_ 1 ) = ( -3, 2 ) \ and \ (x_2, y_ 2 ) = ( \frac{-10}{7} , \frac{-5}{7}) \ ][/tex]

              [tex]= \frac{\frac{-5}{7}-(2)}{\frac{-10}{7} - (-3)}\\\\= \frac{-5- 14}{-10 + 21}\\\\=\frac{-19}{11}\\\\=-\frac{19}{11}[/tex]

Step 2 : Equation of the line :

[tex](y - y _1) = m (x - x_1)\\[/tex]

[tex](y - 2 ) = -\frac{19}{11}(x -( -3))\\\\(y - 2 ) = -\frac{19}{11} (x+ 3)\\\\y = -\frac{19}{11} (x+ 3) + 2\\\\ y = -\frac{19}{11}x +(-\frac{19}{11} \times 3) + 2\\\\y= - \frac{19}[11}x +(\frac{-57}{11} + 2)\\\\y= - \frac{19}{11}x +(\frac{-57+ 22}{11})\\\\y= - \frac{19}{11}x +(\frac{-35}{11})\\\\[/tex]

Answer:

b + s = 14

5b + 10s = 80

Step-by-step explanation:

Answer:

b + s = 14

$5b + $10s = $80

Step-by-step explanation:

the sum of boogie board and surfboard rented is 14

boogie board rented + surfboard rented = 14

b + s = 14  equation 1

total income derived from renting the two types of boards is $80

total income derived = total income derived from renting boogie boards + total income derived from renting surfboards

total income derived from renting boogie boards = cost of renting one boogie board x number of boogie boards rented

= $5 x b = 5b

total income derived from renting surfboards = cost of renting one surfboard x number of surfboards rented

= $10 x s = 10s

80 = 5b + 10s   equation 2

Answer:

y = -1x+1

Step-by-step explanation:

The equation for a line in slope intercept form is

y = mx+b where m is the slope and b is the y intercept

y = -1x+b

Substitute in the point

0 = -1(1) +b

0 = -1+b

1 = b

The equation is

y = -1x+1

Answer:

okay for graphing first one start at zero go up five. then rise over run. so go up one and right four.

second one go down one. then down one right one

Answer:

We can determine which image is correct by the second equation, only in one of the images the line is correct.

X-y=1

So x = 1+ y

If y is one x should be two.

Only in one image that is true, the third image.

Answer: [tex]3+0.5n[/tex]

Step-by-step explanation:

Given

Vine is 3 inches long

It grows 0.5 inches a week

So, after n weeks it is given by the sum of initial length and the growth in n weeks

[tex]\Rightarrow 3+0.5n[/tex]

Answer:

[(x-y)(x²+xy+y²)] [(x+y)(x²-xy+y²)]

Step-by-step explanation:

x⁶-y⁶

(x³-y³)(x³+y³) difference and sum of two cubes

[(x-y)(x²+xy+y²)] [(x+y)(x²-xy+y²)]

Answer:

[tex]\sum\limits^3_{k=1}(k^3 - 6) = 18[/tex]

Step-by-step explanation:

Given

[tex]\sum\limits^3_{k=1}(k^3 - 6)[/tex]

Required

Evaluate

This means that we substitute 1 to 3 for k.

So, we have:

[tex]\sum\limits^3_{k=1}(k^3 - 6) = (1^3 - 6)+(2^3 - 6)+(3^3 - 6)[/tex]

[tex]\sum\limits^3_{k=1}(k^3 - 6) = (1 - 6)+(8 - 6)+(27 - 6)[/tex]

[tex]\sum\limits^3_{k=1}(k^3 - 6) = -5+2+21[/tex]

[tex]\sum\limits^3_{k=1}(k^3 - 6) = 18[/tex]

Answer:

she set up the proportion incorrectly; the second ratio should be 2/x

Step-by-step explanation:

To obtain the width :

Scale drawing :

Initial = 1 inch = 4 feet

New = 1 inch = 7 feet

Width of rectangle = 2 inches

New width should be in the form :

new scale = width of rectangle / width of drawing

If width of drawing = x

1 / 7 = 2 / x

Cross multiply

x = 7*2

x = 14

Answer:

its A

Step-by-step explanation:

Answer: [tex]\dfrac{5}{7}[/tex]

Step-by-step explanation:

Given

The theoretical probability of choosing an event  A is [tex]\dfrac{2}{7}[/tex]

The sum of the probability of occuring and non-occuring of an event is always equal to 1.

So, the probability of non choosing Event A is

[tex]\Rightarrow 1-\dfrac{2}{7}\\\\\Rightarrow \dfrac{7-2}{7}\\\\\Rightarrow \dfrac{5}{7}[/tex]

Answer:

The answer is False.

Step-by-step explanation:

Cause consecutive angles for parallelogram are supplementary.

Answer:

48cm<h

Step-by-step explanation:

Answer: $13.90

Step-by-step explanation:

Since Susana has a budget for school stationery of $33, but has already spent $19.10 on books and folders, the inequality that shows how much she can spend on other stationery, will be represented by:

p + $19.10 = $33

p = $33 - $19.10

The inequality is p = $33 - $19.10

Then, the amount that she can spend on other stationery will be:

P = $33 - $19.10

P = $13.90

She can spend $13.90 on other stationary

Answer:

Common difference (d) = -5

Step-by-step explanation:

formula=>

an = a + (n-1)d

=> -8 = 7 + (4-1)d

=> -15 = 3d

=> 3d = -15

=> d = -15/3

=> d = -5

Answer:

(4,20)

Step-by-step explanation:

The table shows the ordered pair (4, 16), meaning that (4, 20) wouldn't fit.

Step-by-step explanation:

many things are possible.

the only thing we must not do is mixing the addition elements with the multiplication elements.

but we could change the expression to

3×(3×8) + 5

or

5 + (3×3)×8

or

5 + (3×8)×3

and so on, and it would always be the same result.

The new expression is 3×(3×8)+5. Therefore, option B is the correct answer.

The given expression is 5+3 ×(3×8).

We need to use the commutative property of addition and the associative property of multiplication to rewrite the given expression.

The commutative property deals with the arithmetic operations of addition. It means that changing the order or position of two numbers while adding them does not change the end result.

Associative property of multiplication: The associative property of multiplication says that while multiplying three numbers, regardless of the way the numbers are grouped, the end result will always be the same.

The new expression=3×(3×8)+5

Therefore, option B is the correct answer.

#SPJ2

Your question is incomplete, probably the complete question/missing part is:

Which expression uses the commutative property of addition and the associative property of multiplication to rewrite the expression 5+3 * (3*8)

A. (3*3)*8+8

B. 3*(3*8)+5

C. 5+3*(24)

D. 3*(8*3)+5

Answer:

10, and -8.

Step-by-step explanation:

So we know a = -4

We also know that b = 2

Lets plug in a = -4 and b = 2 into b-2a:

2-2(-4)

=

2--8

A minus and minus make a plus, so:

2+8 = 10

So the answer is 10.

Next lets plug in a = -4 and b = 2 into [tex](a+b)^3[/tex]:

[tex](-4+2)^3[/tex]

=

[tex](-2)^3[/tex]

=

-8

So the second answer is -8.

Hope this helps!

Answer:

a= 2-2(-4)= 10

b= -4^3+2^3+3(-4)(2) (-4 - 2)= 8

Answer:

do u need other coordinates?

if so B'(1,-1)

C'(1,4)

D'(5,6)

the formula is (-x,y)

hope it helps :)

Answer: D is 5,6

Step-by-step explanation:

Answer:

(a) 60 cups

(b) 5 cookies, 8 muffins and 4 cupcakes in each container

Step-by-step explanation:

Given

Let:

[tex]C \to Cookies; M \to Muffins; K \to Cupcakes[/tex]

So:

[tex]C : M : K = 300 : 480 : 240[/tex]

Solving (a): The greatest number of containers to be used;

To do this, we first reduce the ratio to the lowest

C : M : K = 300 : 480 : 240

Divide by 60

[tex]C : M : K = 5 : 8 : 4[/tex]

The ratio cannot be further reduced. Hence, he will use 60 cups

Solving (b): The number in each cup

In (a), we have:

[tex]C : M : K = 5 : 8 : 4[/tex]

This means that;

[tex]C = 5[/tex] --- Cookies

[tex]M = 8[/tex] --- Muffins

[tex]K = 4[/tex] -- - Cupcakes

Answer:

7 cherry pies

Step-by-step explanation:

the cherry pies that have 90 or more cherries =

4 + 3 = 7

Answer:

cardioid

Step-by-step explanation:

r=2+2 sin(theta)​

This is of the form

r =a+b theta

This is a limacon

When a = b, it is called a cardioid.

Answer:

i.c

ii.d

iiid

iv3

v180

Step-by-step explanation:

x is 60

Answer:

28.32552

Step-by-step explanation:

39.331×0.72=28.32552

Answer:

C)48 pi square units

Step-by-step explanation:

The lateral area is  the area around the sides  ( does not include the top or bottom)

LSA = 2pirh

      = 2 pi(4) (6)

    = 48 pi

Answer:

relation only

Step-by-step explanation:

The vertical line will be relation only.

Function is a type of relation, or rule, that maps one input to specific single output.

In mathematics, a function is an expression, rule, or law that describes the relationship between one variable (the independent variable) and another variable.

In mathematics and the physical sciences, functions are indispensable for formulating physical relationships.

Noted that Linear function is a function whose graph is a straight line

We can conclude that  vertical line would be relation only.

Learn more about function here:

https://brainly.com/question/2253924

#SPJ3

Answer:

3.8 inches

Step-by-step explanation:

12 = 2 x 22/7 x r

84= 2 x 22 x r

42 = 22r

r = 1.9

2r = 3.8inches.

diameter is twice the radius

diameter = 3.8 inches

hope its right. good luck!

Answer:

4 students

Step-by-step explanation:

Although I am not sure if I am completely correct. I’ll try my best.

We know:

The numbers 0-12 on the frequency table is the number of windows.

The numbers on the bottom is the amount of students.

-

What we can see:

As we can see..

-

Calculations:

Since the number of students that have the amount of windows less than 10 is 4 (0-4 section) and 0 (10-14 section)

Add.

4+0

= 4

Therefore, 4 students have less than 10 windows.