Evaluate the following expression. $$(10 + 2) \div 6 + 5^3$$

Answer:

In the diagram above, AB is parallel to EH, and BD is parallel to FH. Also, AB = BC, and EF = FH. If ∠EGC = 70°, then ∠D =

(A) 65°

Step-by-step explanation:

∠IHJ and ∠FEH are the corresponding angles in the given figure.

an angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle.

Corresponding angles are the angles which are formed in matching corners or corresponding corners with the transversal when two parallel lines are intersected by any other line

CJ is the transversal to DF and GI.

From the given options Angle IHJ and angle FEH are corresponding angles.

Hence, ∠IHJ and ∠FEH are the corresponding angles in the given figure.

To learn more on Angles click:

https://brainly.com/question/28451077

#SPJ2

Answer:

31-i

Step-by-step explanation:

I just took the test and I got it right.

Answer:

D.(2,1)

Step-by-step explanation:

All I did was solve by substitution.

Answer:

D

Step-by-step explanation:

Given the 2 equations

y = 6x - 11 → (1)

- 2x - 3y = - 7 → (2)

Substitute y = 6x - 11 into (2)

- 2x - 3(6x - 11) = - 7 ← distribute and simplify left side

- 2x - 18x + 33 = - 7

- 20x + 33 = - 7 ( subtract 33 from both sides )

- 20x = - 40 ( divide both sides by - 20 )

x = 2

Substitute x = 2 into (1) for corresponding value of y

y = 6(2) - 11 = 12 - 11 = 1

solution is (2, 1 ) → D

Answer:

x² + x + 1

Step-by-step explanation:

The initial fee.

Hope this helps ;)

Answer:

initial feee

Step-by-step explanation:

Answer:

See below

Step-by-step explanation:

As per the attached graph we observe that the constant rate of change is 9 as each step of horizontal change corresponds to 9 steps of vertical change

It is found as the division below:

Point (0, 0) indicates the start point

Point (1, 9) indicates the cost of 1 t-shirt

As to the attachment graph ;

Now,

according to the question

it is found as the division below ;

the point which is indicating the starting point ;

the point which indicate the cost of one t-shirt ;

Answer: -12.4 + 9.2 = -3.2

4-2=2

9-12=3

Step-by-step explanation: An easy way that I've found is to just subtract the smaller digits (9.2) from the larger digits (12.4) and make the answer a negative.

Answer:

-3.2

Step-by-step explanation:

This is the longer explanation.

-12.4+9.2 let's start with the tenth values.

On a number line, when you're adding a positive number to a negative number you go up. -.4+.2 would be -.2, but if that's too difficult imagine if it was tens place meaning -4+2 which would equal 2 but the difference is you have to add the decimal in this problem. So the answer is -.2.

Now, we are adding 9 to -12. On a number line, think of it as being positioned at -12 and having to go up 9 times because remember when you're adding a positive number to a negative number you go up. When you go up the number line 9 times you stop at -3. When you go back down subtracting 9, you'll be placed at -12. So our answer is -3.

-3.0+-.2= -3.2. When you add -.2 to -3 you end up with -3.2. Line it up as a typical addition problem if you need to.

Answer:

[tex]\huge\boxed{f'(x)=-\dfrac{e^\frac{1}{x}}{x^2}}[/tex]

Step-by-step explanation:

[tex](e^x)'=e^x\\\\\bigg[f\bigg(g(x)\bigg)\bigg]'=f'\bigg(g(x)\bigg)\cdot g'(x)\\\\\left(\dfrac{1}{x}\right)'=-\dfrac{1}{x^2}\\\\====================[/tex]

[tex]f(x)=e^\frac{1}{x}=\left(e^\frac{1}{x}\right)'\cdot\left(\dfrac{1}{x}\right)'=e^\frac{1}{x}\cdot\left(-\dfrac{1}{x^2}\right)=-\dfrac{e^\frac{1}{x}}{x^2}[/tex]

Answer:

18 square units how to solve this is there are four square units and four sides that’s 16 plus the top one and bottom one. That makes 18

Step-by-step explanation:

Answer:

Step-by-step explanation:

I think you should create a table (x,y) and make an equation and that could be a way to figure it out

Answer:

see below

Step-by-step explanation:

f(x)=72-12x

Domain:

Is the possible values that x can take

This is a line and x can take all values

(-∞,∞) or all real numbers

Range:

Is the possible values the output can take

This is a line and y can take all values

(-∞,∞) or all real numbers

Answer: The domain is 6, and range is 72 I believe.

Step-by-step explanation:

I really hope it helps :0

Answer:

20 hours

Step-by-step explanation:

Let x = number of hours

Jordan

Allowance = $10

Pay per hour = $7

Total = 10 + 7x

Alex

Allowance = $20

Pay per hour = $6.50

Total = 20 + 6.50x

Equate total of Jordan and Alex earnings

10 + 7x = 20 + 6.50x

Collect like terms

10 - 20 = 6.50x - 7x

-10 = - 0.5x

Divide both sides by - 0.5

x = -10 / -0.5

= 20

x = 20 hours

Jordan and Alex will both work for 20 hours to have the same amount of money in a week

Answer: 6 i thank

Step-by-step explanation:

So three quarters is 1/3. So 1/3 of 18 is 6.

And the average size of an  Gecko is 18in

And  a Iguanas is 1/3 that of an Gecko

Hopefully that helps

Answer:

30

Step-by-step explanation:

15 - 20

13 - 10

20+10=30

Answer:

I think the answer is A,C, and D. Sorry if I'm wrong, but if it's right pls mark brainliest.

Answer: D)  [tex]m \angle 2 = m\angle 5[/tex]

================================================

Explanation:

Let's go through the answer choices to see what's true and what's false.

Answer:

B. 5 units

Step-by-step explanation:

Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, dilation, rotation or translation.

If a point X(x,y) is rotated about the origin 180 degrees clockwise the new point is at X'(-x, -y).

If the square with vertices at A(0, 0), B(0, 5), C(5, 5) and D(5, 0) is rotated about the origin 180 degrees clockwise the new points are at A'(0, 0), B'(0, -5), C'(-5, -5), D'(-5, 0)

A square has four equal sides. The distance between two points [tex]X(x_1,y_1)\ and\ Y(x_2,y_2)[/tex] is:

[tex]|XY|=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Hence:

[tex]|A'B'|=\sqrt{(0-0)^2+(-5-0)^2} =5[/tex]

Answer:

He rented 4 movies

Step-by-step explanation:

Each movie costs $4 and if he rents 4 it'll be 4x4= $16, you then subtract the $1.00 coupon and get the total of $15

Answer:

There will be 1 balloon left over.

Step-by-step explanation:

Each kid will be able to get 13 balloons, and 4 times 13 is 52, so 1 balloon will be left.

Answer:

Step-by-step explanation:

Because 4 times 13 = 52

4 times 13.25 = 53

Each kid will get 13, but

in return, you will get 1 of your balloon's left.

Hope this helps! <3

Answer:

Step-by-step explanation:

Find the option below:

h(x) = –2x2 – 13x + 6

h(x) = –2x2 – x + 3

Reservoir A releases less water than Reservoir B over 1 week.

Reservoir A releases the same amount of water as Reservoir B over 1 week.

Reservoir A releases more water than Reservoir B over 1 week.

Given the expressions

Reservoir A f(x) = x^2 – 7x + 5

Reservoir B g(x) = 3x^2 – 6x+2

We are to find the f=difference between the functions h(x) = f(x)-g(x)

Substitute

h(x) =  x^2 – 7x + 5 -(3x^2 – 6x+2)

h(x) =  x^2 – 7x + 5 -3x^2 +6x-2

collect like terms

h(x) =  x^2 -3x^2 +6x– 7x+ 5-2

h(x)= -2x^2-x+3

Next is to know the amount of water released by Reservoir A after 1 week. To do that we will substitute x = 1 into h(x)

h(x)= -2x^2-x+3

h(1)= -2(1)^2-1+3

h(1)= -2-1+3

h(x)= -3+3

h(x)= 0

This shows that Reservoir A releases the same amount of water as Reservoir B over 1 week

Answer:

a,c,b

Step-by-step explanation:

i took the test

Answer:

Slope of a line = rise/run

Your answer:

m = 8/5

Answer:

Answer= D and E

Step-by-step explanation:

(for two powers multiplied together we add them)

[tex]10^{-5}[/tex]×[tex]10^{2}[/tex]

=[tex]10^{-5+2}[/tex]

=[tex]10^{-3}[/tex]

this is the same as:

=[tex]\frac{1}{10^{3} } =\frac{1}{1000}[/tex] (as [tex]x^{-y}[/tex] is the same as [tex]\frac{1}{x^{y} }[/tex])

or

[tex](\frac{1}{10})^{3}[/tex] (as this is the same as [tex]\frac{1}{10}[/tex]×[tex]\frac{1}{10}[/tex]×[tex]\frac{1}{10}[/tex] which is equal to [tex]\frac{1}{1000}[/tex] the answer for the question)

Answer:

1) -2

2) 6

3) -9

Step-by-step explanation:

1)2/5(x+7)=2(x+3)

2/5x+2.8=2x+6

2/5x=2x+3.2

-1.6x=3.2

x=-2

2)2x+6=2/3x+14

2x=2/3x+8

1 1/3x=8

x=6

3)40+2x=6-8x-56

40+2x=-8x-50

90+2x=-8x

90=-10x

x=-9

Answer:

[tex]2x^4–5x^3+x^2+3x+2=[/tex]

[tex]2 \times 5^4–5 \times 5^3+5^2+3 \times 5+2[/tex]

= 2 × 625 – 5 × 125 + 25 + 3 × 5 + 2

=1250 – 625 + 25 + 15 +2

= 1292 – 625

= 667

Answer:

a

Step-by-step explanation:

:)