Which angles pairs with the names? I just need a simple checklist :).​

Answer:

1. y = 145  

2. y = 145 and z = 215  

3. y = 180 - x  

4. y = 180 + x and z = 360 - x  

5. y = 360 - x

6. y = 180 - x and z = 180 + x

Step-by-step explanation:

1. siny = sin35

Since sin35 is positive, siny is in the second quadrant.

So siny = sin(180 - 35) = sin35

siny = sin145 = sin35

Since siny = sin145, y = 145

2. cosy = cosz = -cos35

since -cos35 is negative in the second and third quadrant,

cosy = cos(180 - 35) = -cos35 and cosz = cos(180 + 35) = -cos35

cosy = cos145 = -cos35 and cosz = cos215 = -cos35

Since cosy = cos145 and cosz = cos215,

y = 145 and z = 215

3. If siny = sinx and x < 90,

since x < 90, sinx is in the first quadrant and siny is in the second quadrant since it is positive

siny = sin(180 - x) = sinx

Since siny = sin(180 - x)

y = 180 - x

4. siny = sinz = -sinx and x< 90

since -sinx is negative and sine is negative in the third and fourth quadrant respectively, siny and sinz are in the third and fourth quadrant,

siny = sin(180 + x) = -siny and sinz = sin(360 - x) = -sinx

Since siny = sin(180 + x) and sinz = sin(360 - x)

y = 180 + x and z = 360 - x

5. cosy = cosx and x < 90

Since cosx is positive in the first and fourth quadrant, and x is in the first quadrant,

cosy = cos(360 - x) = cosx

cosy = cos(360 - x)

y = 360 - x

6. cosy = cosz = -cosx  and x< 90

since -cosx is negative in the second and third quadrant,

cosy = cos(180 - x) = -cosx and cosz = cos(180 + x) = -cosx

cosy = cos(180 - x) and cosz = cos(180 + x)

y = 180 - x and z = 180 + x

A tennis racket originally

cost $60 and is on sale

for 25% off.

15

Answer:

Step-by-step explanation:

The length of the ramp will be the longest side of the right-triangular shape (the hypotenuse). The height and the horizontal length will be the other two sides (adjacent and opposite).

Acording to the theorem;

hyp² = opp²+adj²

Given

opp = 30cm = 0.3m (convert to metres)

adj = 3 m

Substitute

hyp² = 0.3²+3²

hyp² = 0.09+9

hyp² = 9.09

hyp = √9.09

hyp = 3.0145 m

Hence the estimated length of the ramp in meters is 3m

Given parameters:

Length of fabric needed to make a pillow = 0.8m

Cost of fabric per meter = $1.5

Unknown:

Cost of the 0.8m fabric  = ?

Solution:

  The cost of the fabric  = cost per meter x length of fabric

   Input the parameters and solve;

       Cost of the fabric  = 0. 8 x 1.5 = $1.2

Dustin will have to $1.2 for the fabric

Given :

A squirrel climbs up a tree. She starts at 0.5 feet up the tree, then climbs at a steady pace for 7.5 seconds.

She ends 4 feet up the tree.

Solution :

Now, distance covered is :

d = 4 - 0.5 = 3.5 feet.

Time taken, t = 7.5 seconds.

Distance climbed per second is :

[tex]D =\dfrac{d}{t}\\\\D=\dfrac{3.5}{7.5}\\\\D = 0.467\ feet/s[/tex]

Therefore, distance climber per second is 0.467 feet.

Hence, this is the required solution.

Answer:

The change is 2 pounds per month.

Step-by-step explanation:

Answer:

∠ XYZ = 41°

Step-by-step explanation:

∠ XYZ = ∠ 3x + 20 ( corresponding angles ) , thus

8x - 15 = 3x + 20 ( subtract 3x from both sides )

5x - 15 = 20 ( add 15 to both sides )

5x = 35 ( divide both sides by 5 )

x = 7

Thus

∠ XYZ = 8x - 15 = 8(7) - 15 = 56 - 15 = 41°

Answer:

Simplified: 2.4x−12

Step-by-step explanation:

(2.4)(x+−5)

=(2.4)(x)+(2.4)(−5)

=2.4x−12

Answer:

Kindly check explanation

Step-by-step explanation:

Given that:

The student gets paid $25 for each lawn that is mowed (x)

$15 for each pool that is cleaned (y). The student wants to earn $750.

The equation that represents this relationship is 25x+15y=750.

The x - intercept :

Value of x, when y =. 0

25x + 15(0) = 750

25x + 0 = 750

x = 750 / 25

x = 30

To earn 750, if no pools are cleaned, number of lawns to be mowed = 30

(30, 0)

Y - intercept :

Value of y when x = 0

25(0) + 15y = 750

0 + 15y = 750

y = 750 / 15

y = 50

To earn 750, if no lawns are mowed, number of pools to be cleaned = 50

(0, 50)

Answer:

24 GB

Step-by-step explanation:

Subtract the amount of money that was from the monthly plan:

75.99 - 59.99

= 16

Divide this by 4 to see how many extra GB were used:

16/4

= 4

This means that 4 GB were used beyond 20 GB.

This means 24 GB were used in total

Answer:

24 GB

Step-by-step explanation:

Answer:

c ) 6

d) 1 0 this are correct answer ok

Answer:

A. Angle bisectors are a line that goes through an angle dividing it into 2 equal angles that are consecutive.

B. The 2 angles BAC and CAD when added together is the same as angle BAD.

Step-by-step explanation:

Answer:

x = 0

Step-by-step explanation:

The answer is 2 hope you have a good day

Answer: 2=48

Step-by-step explanation:

5 divided by 120 is 24 2 divided by what is 24 =  48

Answer:

y-intercept b = -23

The new equation is y = 6x - 23

Step-by-step explanation:

The slope-intercept form is:

y = m x + b, where

∵ The slope is 6

→ Substitute it in the form of the equation

∴ y = 6x + b

To find b substitute x and y in the equation by the coordinates of any point on the line

∵ The line passes through point (3, -5)

∴ x = 3

∴ y = -5

→ Substitute them in the equation

∴ -5 = 6(3) + b

∴ -5 = 18 + b

→ Subtract 18 from both sides

∴ -5 - 18 = 18 - 18 + b

∴ -23 = b

∴ The y-intercept value (b) is -23

→ Substitute it in the equation

∴ y = 6x + -23

∴ y = 6x - 23

The new equation is y = 6x - 23

Answer:

y-intercept b = -23

The new equation is y = 6x - 23

Step-by-step explanation:

Answer:50

Step-by-step explanation:

80+2x=180

subtract 80 from both sides: 2x=100

divide both sides by 2: x=50

Given parameters:

Equation of the line given  2x - 7y = 13

Coordinates of points = -3, 8

Unknown:

Equation of a line perpendicular = ?

Solution;

 To find the equation of this line, simply find the negative inverse of the given line.

         m  = [tex]-\frac{1}{m}[/tex]

          2x - 7y = 13 , this is an equation of a straight line

  let us write it in the form y = mx + c so as to derive the slope

        y and x are coordinates

         m is the slope

        c is the y intercept

  2x - 7y = 13;

        -7y = -2x + 13

  divide through by -7;

             y = [tex]\frac{2}{7}x[/tex] + [tex]\frac{13}{7}[/tex]

The slope of this line is [tex]\frac{2}{7}[/tex];

           Now the slope of a line perpendicular to it will be [tex]-\frac{7}{2}[/tex];

  the equation of the line will be;

        y  = [tex]-\frac{7}{2} x + C[/tex]

Since the coordinate of this line is (-3,8) , let us find C;

     y  = 8 and x = -3;

     8  = [tex]-\frac{7}{2}[/tex] (-3) + C

         multiply through by 2;

    16 = 21 + 2C

    16 - 21  = 2C

      -5 = 2C

        C  = [tex]\frac{-5}{2}[/tex]

Now the equation of the line is;

              y  = [tex]-\frac{7}{2} x + \frac{5}{2}[/tex]

Answer:

j

Step-by-step explanation:

m

Answer:

[tex]x=2\\y=-3[/tex]

Step-by-step explanation:

We have:

[tex]-9x-10y=12\\-3x+3=y[/tex]

Since we already have a variable value ([tex]y[/tex]) in the second equation, it would be easiest to substitute the value for [tex]y[/tex] in the first equation:

[tex]-9x-10(-3x+3)=12[/tex]

Distribute [tex]-10[/tex] into [tex](-3x+3)[/tex]:

[tex]-9x+30x-30=12[/tex]

Combine like terms:

[tex]21x-30=12[/tex]

Add [tex]30[/tex] to both sides of the equation:

[tex]21x=42[/tex]

Divide by the coefficient of [tex]x[/tex], which is [tex]21[/tex]:

[tex]x=2[/tex]

_

Now that we have our [tex]x[/tex] value, we can substitute that in to the second equation to find our [tex]y[/tex] value:

[tex]-3(2)+3=y[/tex]

Multiply:

[tex]-6+3=y[/tex]

Combine like terms:

[tex]-3=y[/tex]

Answer:

y = x² - 9x + 14

Step-by-step explanation:

Given the zeros x = 7 and x = 2, then the corresponding factors are

(x - 7) and (x - 2)

The function is then the product of its factors, that is

y = (x - 7)(x - 2) ← expand using FOIL

  = x² - 9x + 14

The quadratic function with zeros 7 and 2 in standard form is

f(x) = x² - 9x + 14

If a quadratic function has zeros of a and b, then the quadratic function can be formed as:

f(x) = (x - a)(x - b)

For a function with zeros 7 and 2:

a = 7, b = 2

Substitute a = 7 and b = 2 into the quadratic function f(x) = (x - a)(x - b)

f(x)  = (x  - 7)(x  -  2)

Expand the expression

f(x) = x² - 2x - 7x + 14

f(x) = x² - 9x + 14

The quadratic function with zeros 7 and 2 in standard form is f(x) = x² - 9x + 14

Learn more here: https://brainly.com/question/18150978

Answer:

Mark the -5 and place an arrow pointing to the left.

Step-by-step explanation:

The sign used in the question mean less than or equal to. So n must be -5 or less.

Answer:

7 x > 4 x + 100

7 x - 4 x > 100

3 x > 100

x > 100 : 3

x > 33.33

Answer: they have to sell 34 pizzas to make a profit.

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

2.5 plus 2.5 is 5 and 5 times 2 is 10, so 2.5 times 4 is 10.

The value of the given expression is 10.

We are given that;

The expression= 2.5 x 4

Now,

To multiply 2.5 by 4, we can use the distributive property of multiplication.

This means that we can split 2.5 into 2 and 0.5, and then multiply each part by 4 separately.

2.5 x 4 = (2 + 0.5) x 4

= (2 x 4) + (0.5 x 4)

= 8 + 2

= 10

So, 2.5 x 4 = 10.

Therefore, by algebra the answer will be 10.

More about the algebra link is given below.

brainly.com/question/953809

#SPJ6

9.68x + 21.6 - 6.23x = 2.3x + 17

Combine like terms on the left side:

3.45x + 21.6 = 2.3x + 17

Subtract 2.3x from both sides:

1.15x + 21.6 = 17

Subtract 21.6 from both sides:

1.15x = -4.6

Divide both sides by 1.15:

X = -4

Answer:

its negative 4

Step-by-step explanation:

Answer:

F=Ma

therefore

a=F/M

a=10/20

=0.5ms^-1

x = 4 is a vertical line through 4 on the x axis

x = 9 is a vertical line through 9 on the x axis

any two vertical lines are always parallel

side note: the slope of any vertical line is undefined