What is the sum of the interior angles of the polygon shown below?

Answer:

1440°

Step-by-step explanation:

Formula for sum of the measures of the interior angles of a polygon is given as:

[tex] (n-2)\times 180°\\

= (10-2)\times 180°..(plug\: n = 10)\\

= 8\times 180°\\

= 1440°

[/tex]

Answer:

what is the math?

Step-by-step explanation:

Answer:

f(x) = 4x, g(x) = [tex]\frac{1}{4}x[/tex]

Step-by-step explanation:

Inverse function is when you switch the x and the y and solve for x

f(x) = 4x

y = 4x

x = 4y

Now solve for x

y = [tex]\frac{1}{4}x[/tex]

g(x) = [tex]\frac{1}{4}x[/tex]

If you try that with the other functions, none of them work.

Answer:

C. f(x)= 4x, g(x)= 1/4x

Step-by-step explanation:

inverse functions are flipping x and y corrdinates so let's plug in x=1 into f(x) and get y = 4

now plug in x = 4 into g(x) and check if the answer is 1 - yes ,it is!

Answer:

112

Step-by-step explanation:

8:3

?:42

do 42 divided by 3 which is 14

so 14 times 8 which is 112

hope this helps

Answer:

1.182 meters.

Step-by-step explanation:

We have that the initial height is 3 meters, we know that after each rebound it recovers 83% of the original height, therefore:

First bounce:

3 * 0.83 = 2.49

Second bounce:

2.49 * 0.83 = 2.0667

We can deduce a formula here:

hn = 3 * (0.83) ^ n

where is the bounce number, we know that the bounce number that we want to find the height is 5, therefore:

h5 = 3 * (0.83) ^ 5

h5 = 1.182

which means that at the fifth bounce, the height is 1.182 meters.

Answer:

Step-by-step explanation:

The given lines are

[tex]2x-4y=8[/tex]

[tex]4x+2y=8[/tex]

Let's rewrite each equation in the form [tex]y=mx+b[/tex]

[tex]2x-4y=8\\2x-8=+4y\\y=\frac{2x-8}{4} \\y=\frac{x}{2}-2[/tex]

[tex]4x+2y=8\\2y=8-4x\\y=\frac{8-4x}{2}\\ y=4-2x[/tex]

Now, let's use the perpendicular rule

[tex]m_{1} \times m_{2} =-1\\\frac{1}{2} \times (-2)=-1 \implies -1=-1[/tex]

As you can observe, the slopes satisfy the perpendicular rule, that means the lines are perpendicular.

Therefore, the right answer is the second choice because it states the rule of perpendicularity between the given lines.

Answer:

They are perpendicular because they have slopes that are opposite reciprocals of −2 and .

Step-by-step explanation:

I took the test and the dot is 1/2

Answer: y=3/5x-4

Step-by-step explanation:

the slope is rise/run

the y intercept is where the line meets the y axis

Answer:

x = 8

Step-by-step explanation:

5x - 10 + 7 = 37

5x - 3 = 37

5x = 40

x = 8

Answer:

Step-by-step explanation:

As two angles of the triangle are 60° and 55°, the measure of ∠A is:

So the angles C and B measure 60° and 55°.

∠C is opposite to 60°, so is 60° as well, therefore m∠B = 55°

Statements:

mAngleB + mAngleC + 55° = 180°

mAngleA + 60° + 55° = 180°

mAngleC = 55°

mAngleA = 55°

Answer: its b

Step-by-step explanation: on edge.

Answer:

D

Step-by-step explanation:

2x+1=3

-1 on both sides: 2x=2, then divide by two. You get x=1

For this you would use D, subtraction and division

Answer:

x = 1

D) Subtraction and Division

Step-by-step explanation:

2x + 1 = 3

(2x + 1) - 1) = (3) - 1   ←

2x = 2

(2x)/2 = (2)/2  ←

x = 1

In the places where I put the arrows is where I applied the properties.  I used subtraction and division to solve.

Answer:

3.

Step-by-step explanation:

Answer:

70 feet

Step-by-step explanation:

This problem can be answered by using proportions based on similar triangles.

Notice that a person and its shadow on the ground form a right angle (therefore they can be considered the two "legs" of a right angle triangle)

The same runs for the tree and its shadow.

Since the inclination of the rays of the sun are the same at the same time for both objects (the boy and the tree), their hypothenuses form the same angles with the ground and therefore belong to similar triangles.

We can create the following proportion to solve for the shadow of the tree (ST) using the information provided: the height of the boy (HB), the shadow of the boy (SB), and the height of the tree (HT)

[tex]\frac{SB}{HB} =\frac{ST}{HT}\\\frac{14}{5} =\frac{ST}{25}\\\frac{ST}{25}=\frac{14}{5} \\ST=\frac{14*25}{5}\\ST=70\,\,ft[/tex]

Answer:

92.4 m^2

Step-by-step explanation:

Area of Trapezoid: h(b1+b2)/2

6.6 (14.2 + 7.6 + 6.2) / 2

= 6.6 (28) / 2

= 184.8/2

= 92.4 m^2

Answer: 4 hrs

Step-by-step explanation: D=RT

500=(65+60)T

500=125T

T=500/125

T=4 HOURS THEY'L MEET.

Answer:

See below;

Step-by-step explanation:

Consider the steps below;

[tex]1. Measure of Angle 1 - m< 1 + m< 2 = 180, ( Considering They Form A Linear Pair ) m< 1 + ( 145 ) = 180,\\m< 1 = 35 degrees\\\\2. Measure of Angle 2 - m< 2 = m< 4, ( Considering They Are Vertical Angles ),\\m< 2 = 145 degrees\\\\3. Measure of Angle 3 - m< 3 = m< 1, ( Vertical Angles ),\\m< 3 = 35 degrees\\\\4. By Alternate Interior Angles Theorem - m< 5 = m< 3,\\m< 5 = 35 degrees\\\\5. By Vertical Angles Theorem - m< 6 = m< 4,\\m< 6 = 145 degree\\\\[/tex]

[tex]\\\\\\6. By Corresponding Angles Theorem - m< 7 = m< 3,\\m< 7 = 35 degrees,\\\\7. By Corresponding Angles Theorem - m< 8 = m< 4,\\m< 8 = 145 degrees[/tex]

Thus, we derive such a solution;

m∠ 1 = 35°, m∠ 2 = 145°, m∠ 3 = 35° , m∠ 5 = 35° , m∠ 6 = 145° , m∠ 7 = 35° , m∠ 8 = 145°

Answer:

The bottom left one

Step-by-step explanation:

it has a positive slope

Answer:

I’m pretty sure it’s the bottom left corner one

Step-by-step explanation:

The line increases from left to right, so it has a positive slope

Answer:

42

Step-by-step explanation:

6÷(1/7) equals forty two.

Solution,

6/1/7

=6*7/1

=42

Hope it helps

Good luck on your assignment

Answer:

Step-by-step explanation:

That one is a hard one, I dunno tho

Answer:

Yes, the equation selected is correct :)

Explanation:

This might look kinda complicated, but the black line is your answer & the green points are from the table. The black line is the closest to all the points and has a slope that keeps it with the trend of the table.

Answer:

can you put the picture of the question

Step-by-step explanation:

sub to pewdiepie

Answer:

a:  1.8          b: 11.8       c: 23.6

Step-by-step explanation:

Answer:

[tex] \dfrac{53}{8} [/tex]

Step-by-step explanation:

[tex] \dfrac{5}{8} = \dfrac{x - 1}{9} [/tex]

Cross multiply.

[tex]8(x - 1) = 9 \times 5[/tex]

[tex] 8x - 8 = 45 [/tex]

[tex] 8x = 53 [/tex]

[tex] x = \dfrac{53}{8} [/tex]

Answer: x = 53/8

Step-by-step explanation:

5/8 = x-1 / 9

45 = 8(x-1)

45 = 8x - 8

-8x = -8 - 45

x = 53/8

Answer:

Step-by-step explanation:

13-15 year olds:

Range: 13

Mean: 27.4

16-18 year olds:

Range:24

Mean: 28.05

Therefore,

1) the range is greater for set two

2) the mean is greater for set two as well

Answer:

1. B

2. C

Step-by-step explanation:

Answer:

1/2 and 50%

Step-by-step explanation:

5/10 is equal to 1/2 and 50%

Answer: A is correct

Step-by-step explanation:

They’re the only lines perfectly parallel, I got this correct

Answer:

A is the correct answer

Step-by-step explanation:

Answer:

(2a + 1)

----------------

(2 - a^2)

Step-by-step explanation:

(2 + 1/a)

----------------

(2/a - a)

Multiply by a/a

(2 + 1/a)  *a

----------------

(2/a - a) *a

(2a + 1)

----------------

(2 - a^2)

Answer:

m arc AJ = 78°

Step-by-step explanation:

If angle A is 101° that means arc LKJ is 202° (the measure of an arc that an inscribed angle intercepts is twice the angle measure).  If arc LKJ is 202° and arc LK is 122°, then arc KJ is 80° (m arc LK + m arc KJ = m arc LKJ).

If angle L is 79°, then the m arc AJK = 158° (the measure of an arc that an inscribed angle intercepts is twice the angle measure). If m arc AJK = 158° and m arc KJ is 80°, then the m arc AJ is 158 - 80 = 78º

edit: i think im right but im not completely sure

edit#2: i checked my answer portal after turning it in and yeah im right

Answer:

I THINK its D and E because C can simplify to 2/3 and 1/2 making C wrong.

Step-by-step explanation:

Answer:

B  C  

Step-by-step explanation:

Find the common denominators

For example: 1/3 [tex]\leq[/tex]4/12

It is 12

3 goes into 12 4 times

so now its

?/12[tex]\leq[/tex]4/12

4*1 is 4 so its

4/12[tex]\leq[/tex]4/12