how would you describe the two lines ? 4y=-5x+12 y=4/5x-8 A) parallel
B)perpendicular
C)Same Line
D)Different lines but not perpendicular or parallel

Answer:

m∠DAB = 101°

x = 7

y = 12

Step-by-step explanation:

Properties of a parallelogram,

1). Opposite sides of a parallelogram are equal and parallel.

2). Opposite interior angles are equal in measure.

3). Consecutive interior angles are supplementary.

By the first property,

BC ≅ AD

2x + 4 = 3x - 3

3x - 2x = 4 + 3

x = 7

AB ≅ CD

2y + 10 = 3y - 2

3y - 2y = 10 + 2

y = 12

By second property,

m∠ABC = m∠ADC

2z + 15 = 3z - 17

3z - 2z = 15 + 17

z = 32

Therefore, m∠ADC = (3z - 17)°

                                = 3(32) - 17

                                = 96 - 17

                                = 79°

By third property,

m∠ADC + m∠DAB = 180°

79° + m∠DAB = 180°

m∠DAB = 180° - 79°

m∠DAB = 101°

Answer:

bispha gets 10

Step-by-step explanation:

let total money be x

Alan gets 1/8 of x = x/8

bispha gets 1/2 of x =x/2

rest of the money = total -shared money

shared money = x/8 + x/2

[tex] = \frac{x + 4x}{8} = \frac{5x}{8} [/tex]

rest = x - 5x/8= 3x/8

Chan share = 3x/8

Alan = x/8

2.50 = x/8

x= 2.50×8= 20

total money is 20

bispha gets x/2 =20/2=10

Answer:

x = 3

Step-by-step explanation:

3x + 1 = 10

Combine the constants by subtracting 1 from both sides.

3x = 9

Isolate the variable by dividing both sides by 3.

x = 3

Check.

3(3) + 1 = 10

9 + 1 = 10

10 = 10

Your answer is correct.

Hope this helps!

Answer:

  x = 3

Step-by-step explanation:

3x + 1 = 10

      - 1 = - 1

---------------  ( subtract 1 on both sides )

    3x = 9

    3x = 3

---------------  ( divide by 3 on both sides )

     x = 3

now you're left with x = 3 which is your answer! hope this helps. ^_^

Answer:

160 - 2

120 - 1 1/2

240 - 3

Step-by-step explanation:

80 km driven every hour

Answer:

The average rate of change of the function is: 0

Step-by-step explanation:

The function y = f(x) is graphed below.

From the graph it is clear that:

at x = -8, the value of f(-8) = -10

at x = -1, the value of f(-1) = -10

We have to determine the average rate of change of the function f(x) on the interval -8 ≤ x ≤ -1.

so

at x₁ = -8, f(x₁) = f(-8) = -10

at x₂ = -1, f(x₂) = f(-1) = -10

Using the formula to determine the average rate of change of the function f(x) on the interval -8 ≤ x ≤ -1.

Average rate = [f(x₂) - f(x₁)] / [ x₂ - x₁]  

                      = [f(-1) - f(-8) ] / [-1-(-8)]

                      = [-10 - (-10)] / [-1+8]

                      = [-10 + 10] / 7

                      = 0 / 7

                      = 0

Therefore, the average rate of change of the function is: 0

Answer:

10+15p =1460

Step-by-step explanation:

Answer:

x=-3

Step-by-step explanation:

2x (x + 4) -12x

2×-3(-3+4)-12×-3

-6(1)+36

30

Answer:

✓32

or

4✓2

or

5.66

Step-by-step explanation:

That's the answer. Hope it helps

Answer:

Use the quadratic formula

=

−

±

2

−

4

√

2

x=\frac{-{\color{#e8710a}{b}} \pm \sqrt{{\color{#e8710a}{b}}^{2}-4{\color{#c92786}{a}}{\color{#129eaf}{c}}}}{2{\color{#c92786}{a}}}

x=2a−b±b2−4ac​​

Once in standard form, identify a, b, and c from the original equation and plug them into the quadratic formula.

5

2

−

4

1

+

8

=

0

5x^{2}-41x+8=0

5x2−41x+8=0

=

5

a={\color{#c92786}{5}}

a=5

=

−

4

1

b={\color{#e8710a}{-41}}

b=−41

=

8

c={\color{#129eaf}{8}}

c=8

=

−

(

−

4

1

)

±

(

−

4

1

)

2

−

4

⋅

5

⋅

8

√

2

⋅

5

2

Simplify

3

Separate the equations

4

Solve

Solution

=

8

=

1

5

Answer:

It's option c

Step-by-step explanation:

Answer:

30 degrees because it is alternate to 30 degrees

Step-by-step explanation:

Answer:

3.6069 × 104

Step-by-step explanation:

Answer:

d. 10 milimeters

Step-by-step explanation:

Answer:

10 milimeters

Step-by-step explanation:

100/700 = x/70

x = 10

Answer:

7/10

Step-by-step explanation:

1/10 = 2/20

1/4 = 5/20

2/5 = 8/20

11/20 = 11/20

We can see that the next term is just 11/20 + 3/20, as 3/20  is added onto each of the next terms.

11/20 + 3/20 = 14/20, which can be simplified to 7/10.

Hope this helps!

Answer: 3

Step-by-step explanation: its 3 because 5X3=15

Answer:

It will be 0.2

Step-by-step explanation:

Hope this Helped

Answer:

I think that is it 1.6 if its division

Answer:

%2.5

Step-by-step explanation:

[tex] {3x}^{2} - 3x - 60[/tex]

consider downloading photomath

The final cost of the stereo system after the discount and including the tax is $337.88. The correct option is D.

The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.

Given that the regular price of a stereo system at Best Buy is $375. The system is on sale for 15% off the regular price. The sales tax rate is 6%.

The discounted price is calculated as,

Discounted Price = 375 x 0.85

Discounted Price = 318.75

The total price after sales tax is,

Total price = 318.75 x 1.06

Total price = $337.875

To know more about percentages follow

https://brainly.com/question/24304697

#SPJ2

Answer:

going horizontally, 15, 3, 9, then 1, 3, 6, then 20, then, 40, 60

Step-by-step explanation:

Answer:

[tex]-\frac{4}{3}[/tex]

Step-by-step explanation:

[tex]-3 \frac{3}{5}[/tex] ÷ [tex]2 \frac{7}{10}[/tex]

Convert both mixed numbers to an improper fraction. This can be done by multiplying the denominator by the "number" part of the mixed number, then adding the result to the numerator.

[tex]- \frac{18}{5}[/tex] ÷ [tex]\frac{27}{10}[/tex]

Now divide the fractions, to divide the fractions, one will find the reciprocal of the recond fractions, and then multiply it by the first fractions. Remember, the reciprocal of a fraction is when one switched the numerator and denominator of a fraction.

[tex]-\frac{18}{5} * \frac{10}{27}[/tex]

[tex]= -\frac{180}{135}[/tex]

Simplify;

= [tex]-\frac{4}{3}[/tex]

Answer:

20 cm^3

Step-by-step explanation:

The volume of a rectangular prism is V=length*width*height.  Therefore, to find the volume, plug in the values into the equation

V = (2/3)*5*6

V = 20 cm^3

:[tex]\implies[/tex] perimeter (∆HFM) = HM+FM+HF

:[tex]\implies[/tex] 51 = 2x+5+x+8+3x+2

:[tex]\implies[/tex] 51 = 6x+15

:[tex]\implies[/tex] 36 = 6x

:[tex]\implies[/tex] x = 6 units.

in ∆HFM,

in ∆KFM,

Since, all the sides of one triangle does not correspond to the other, these traingles are not congruent.

Answer:

y=7

Step-by-step explanation:

Since the triangle is an equilateral triangle, all 3 sides must be congruent. Therefore, we can set the 2 measurements- 3y & 5y-14, equal to each other.

3y=5y-14

14=2y

y=7