which is the correct input-output table for the function g(x)=-1/2(4x+6)

Answer:

The value of x is 4, and the measure of the four angles are 100°, 80°, 100°, 80°.

Step-by-step explanation:

There is a rule that states the following: when two lines intersect, the verticle/opposite angles formed will have the same degree measure. Using this rule, we can infer that [tex]30x-20=10x+60[/tex]. To solve for x, isolate the variable all on one side of the equation. [tex]30x-10x = 60 + 20[/tex] ⇒ [tex]20x = 80[/tex] ⇒ [tex]x=4[/tex]. Since we now know the value of x, you can use that to figure out a pair of verticle angles, apply the value of x to any equation and you'll get that two of the four angles are all 100°. Since the rotation of a full circle is 360°, you can get that the sum of the remaining two angles is 360° - 100° * 2 = 360° - 200° = 160°. Because we know the remaining pair of verticle angles are equal, we can get that each of the remaining angles is equal to [tex]\frac{160}{2}[/tex] or 80°, so the measure of all four angles are 100°, 80°, 100°, 80°.

Answer:

[tex]z<\frac{3}{4}[/tex]

Step-by-step explanation:

Answer:

Break it into 2 sections: 18 by 3 and 6 by 20

area = 54 + 120

= 174 (answer is A.)

Step-by-step explanation:

9514 1404 393

Answer:

  A.  174

Step-by-step explanation:

Use your number sense. The area can be no larger than the rectangle that is 20 high and 9 wide. That rectangle's area is ...

  A = LW = (20)(9) = 180

The only answer choice smaller than 180 is ...

  A.  174 . . . . . square units

__

If you want to compute it exactly, you can make note of the size of the empty space at the upper left corner. That space is 20-18 = 2 units high and 9-6 = 3 units wide. Its area is A = LW = (3)(2) = 6 square units. When that empty space is subtracted from the overall rectangle area, the result is ...

  180 square units - 6 square units = 174 square units.

Answer:

5

Step-by-step explanation:

Answer:

20.48 is the radius of sphere

Step-by-step explanation:

V=(4 /3)πr3

Using the formula

r=(3V /4π)⅓

Solving for "r"

r=(3V 4π)⅓=(3·36000 /4·π)⅓≈20.48352

Answer:

The vertex is at (h, k), which here is (1, -16).

Step-by-step explanation:

Compare the given y = (x - 1)2 - 16          (which should be y = (x - 1)^2 - 16 )

to                               y = (x - h)^2 - 16.

We can readily see that h = 1 and k = -16.

The vertex is at (h, k), which here is (1, -16).

Answer:

Positive (+) * positive (+) = +

Negative (-) * negative - = +

Negative (-) * positive (+) = -

Positive (+) * negative (-) = +

Step-by-step explanation:

How result of the product of two numbers are affected by the sign on each number being multiplied :

Signs on number values may be positive (+) or negative (-)

The rules goes thus :

Positive (+) * positive (+) = +

Negative (-) * negative - = +

Negative (-) * positive (+) = -

Positive (+) * negative (-) = +

Therefore for any tow rational numbers, the sin of their product will follow the rules above.

Answer:

Step-by-step explanation:

From the picture attached,

In ΔABC and ΔGFE,

AC ≅ EG  [Given]

BC ≅ EF [Given]

AB ≅ FG [Given]

By the SSS property of congruence, ΔABC ≅ ΔGFE

The two triangles are related by SSS property of congruence, so the triangles are congruent.

Answer:12 = 12.

x 6 = 12.

x 4 = 12.

x 3=12

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

By the Side-Angle-Side Similarity Theorem (SASS), if two sides of a triangle are in proportion with the corresponding sides of another triangle, and the included angles are congruent, then the triangles are similar.

Answer:

g > -1

Step-by-step explanation:

g + 6 > 5

You want g alone on the3 left side.

6 is being added to g, so subtract 6 from both sides of the inequality.

g + 6 - 6 > 5 - 6

g > -1

Answer:

x = 25°

Step-by-step explanation:

the angle adjacent to the 130 angle is 50 degrees

x = 180-(105+50)

x = 180-155

x = 25

Answer:

4,700

Step-by-step explanation:

4 is not big enough to round the 7 up to a 8

Answer: 10

Step-by-step explanation: I got this correct on Edmentum.

Answer:

2 : 1

Step-by-step explanation:

Since the triangles are similar then the ratios of corresponding sides are equal, that is

AC : DF = 8 : 4 = 2 : 1

You know that it's a bot when it says "explanation in file".

They forgot to put a question, there's nothing to answer...

Answer:

2669

Step-by-step explanation:

Given that :

Salary range = 876

Starting salary = 1793 monthly

The starting salary represents the minimum amount Micah can earn monthly

Therefore, the amount of money much can earn can be calculated thus :

Recall :

Range = maximum - minimum

876 = maximum - 1793

876 + 1793 = maximum

Maximum = 2669

Hence, the maximum salary Micha can earn is 2669 monthly

Answer:

I believe it’s A bc there are only 4 cars in the toy box

Step-by-step explanation:

Brainliest if correct?

thanks have a good day!

Answer: a........ I think im not sure sorry

Step-by-step explanation: it might be a because it is the only answer with four cars. All of the others i dont know.

Answer: $2 and 5 cents each

Step-by-step explanation:

Each daughter will equally split up the 5 dollars, so 5 divided by 2, you will get 2.5

Answer:

26 i think

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

The secant- secant angle is half the difference of the intercepted arcs, then

[tex]\frac{1}{2}[/tex] (20x - 7x - 11) = 40 ( multiply both sides by 2 to clear the fraction )

13x - 11 = 80 ( add 11 to both sides )

13x = 91 ( divide both sides by 13 )

x = 7

Then

arc HD = 20x = 20 × 7 = 140° → A

Given:

A graph of a polynomial passes through the point (-1, 60) and has three x-intercepts: (-4,0), (1, 0), and (3, 0).

To find:

The equation of the polynomial.

Solution:

A polynomial is defined as:

[tex]P(x)=a(x-c_1)(x-c_2)...(x-c_n)[/tex]

Where, a is a constant and [tex]c_1,c_2,...,c_n[/tex] are the zeros of the polynomial.

The given polynomial has three x-intercepts (-4,0), (1, 0), and (3, 0). It means [tex]-4,1,3[/tex] are the zeroes of the given polynomial and [tex](x+4),(x-1),(x-3)[/tex] are the factors of the given polynomial.

So, the equation of the polynomial is:

[tex]P(x)=a(x+4)(x-1)(x-3)[/tex]           ...(i)

It passes through the point [tex](-1,60)[/tex].

[tex]60=a(-1+4)(-1-1)(-1-3)[/tex]

[tex]60=a(3)(-2)(-4)[/tex]

[tex]60=24a[/tex]

Divide both sides by 24.

[tex]\dfrac{60}{24}=a[/tex]

[tex]2.5=a[/tex]

Putting [tex]a=2.5[/tex] in (i), we get

[tex]P(x)=2.5(x+4)(x-1)(x-3)[/tex]  

Therefore, the equation of the given polynomial is [tex]P(x)=2.5(x+4)(x-1)(x-3)[/tex].

Answer:

Step-by-step explanation:

so a rhombus is two triangles put together,  the area of a triangle is  1/2 b*h   and since we've got two  it's  2 ( 1/2 b * h )   so then it'  just  b * h

will be the area of the rhombus.    

the base is WY = 24 the height is  1/2 XZ = 30  so  15

24*15 = 360

8/10 .................................................

Answer:

8 maths tests

Step-by-step explanation:

Given data

We are told that in 1/4 hour that is 0.25hour (15 mins) She grades 1 math test

our aim is to find how many maths test she grade in 3 hours (120min)

Hence

in  15 mins she does 1 grading

in 120 mins she does x

cross multiply

15x= 120

divide both sides by 15

x= 120/15

x= 8 maths test

Hence in 2 hours, she can grade 8 maths tests

Answer:

i believe its 24+12

Step-by-step explanation:

Answer:

V = 255

Step-by-step explanation:

Cereal box is a rectangular prism.

Rectangular Prism formula:

V = whl

Given:

w = 2.5

h = 12

l = 8.5

Work:

V = whl

V = (2.5)(12)(8.5)

V = 255

Answer: 1428

Step-by-step explanation: Length of the cereal box = 8 1/2 inches

                                       = 17/2 inches

Width of the cereal box = 3 1/2 inches

                                     = 7/2 inches

Height of the cereal box = 12 inches

Then

Volume of the cereal box = Length * Width * Height

                                       = (17/2) * (7/2) * 12 cubic inches

                                       = 17 * 7 * 12 cubic inches

                                       = 1428 cubic inches