What is the sum of the interior angle measures of the polygon

Answer:

110

Step-by-step explanation:

Know the angle for BCD which is 130.

Subtract 180 from 130 and you get angle c for the triangle which is 50

Already knowing B and C, add them both which comes up to 70

All triangle angles equal 180 so subtract 70 for 180 and you get 110

Answer:

Step-by-step explanation:

4x+2y<3

y<-2x + [tex]\frac{3}{2}[/tex]

Answer:

$30

Step-by-step explanation:

Okay, so we can solve this problem using fractions; $10 saved for every $15 made..

10/15=x/45

Using cross multiplication we can conclude 10*45=15x

450=15x

x=30

Hope this helps :)

Answer:

x= -3 and 0

Step-by-step explanation:

Where the function crosses the x axis, or y=0

Answer:

Monthly $431

Total Pay: 25,859.82

intrest: 1,873.82

When sum of two angles is 90°, then each of those two angles will be considered to be the complementary angle of each other.Example : 60° and 30° are two angles, and their sum is 90°. So, 60° and 30° are complementary angles.

[tex]\qquad[/tex]____________________

[tex] \bf{\underline{\underline{\dag According\ to\ the\ question:-}}} [/tex]

[tex]\qquad[/tex][tex] \pink{\bf\longrightarrow {x\ +\ x\ +\ 13.8°\ =\ 90⁰} }[/tex]

[tex]\qquad[/tex][tex] \sf \longrightarrow 2x + 13.8° = 90° [/tex]

[tex]\qquad[/tex][tex] \sf \longrightarrow 2x = 90° - 13.8° [/tex]

[tex]\qquad[/tex][tex] \sf \longrightarrow 2x = 76.2° [/tex]

[tex]\qquad[/tex][tex] \sf \longrightarrow x = \cancel{\dfrac{76.2°}{2}} [/tex]

[tex]\qquad[/tex][tex] \pink{\bf \longrightarrow x = 38.1° }[/tex]

Then –

[tex]\qquad[/tex][tex] \bf \longrightarrow x +13.8° [/tex]

[tex]\qquad[/tex][tex] \tt \longrightarrow 38.1° + 13.8° [/tex]

[tex]\qquad[/tex][tex] \tt \longrightarrow 51.9° [/tex]

[tex]\qquad[/tex]______________________

Answer:

$24,500 of commission

Step-by-step explanation:

350000*0.07 = 24,500

If x = -2 satisfies the system, then

y = 4x + 10 = 4(-2) + 10 = -8 + 10 = 2

so that

y = mx - 4   ⇒   2 = -2m - 4

Solve for m :

2 = -2m - 4   ⇒   2m = -6   ⇒   m = -3

Answer:

5 is our hypotenuse

Step-by-step explanation:

[tex]a^{2} + b^{2} = c^{2}[/tex]

c is our hypotenuse

[tex]3^{2} + 4^{2} = c^2[/tex]

[tex]9 + 16 = 25[/tex]

[tex]25 = c^{2}[/tex]

c = 5

5 is our hypotenuse

Answer:

x = 5

Step-by-step explanation:

[tex]c=\sqrt{a^2+b^2} \\a= \sqrt{3^2+4^2} \\c=\sqrt{9+16} \\c= \sqrt{25} \\c= 5[/tex]

Answer:

Perimeter of trapezoid ABCD is 22.8

Step-by-step explanation:

6 + 6 + 8.2 + 2.6 = 22.8

I hope this helps!

Answer:

135 tiles

Step-by-step explanation:

3 x 1.8 = 5.4 (m2)

20 cm = 0.2 m

0.2 x 0.2 = 0.04 (m2)

5.4 / 0.04 = 135 (tiles)

Answer:

Freeze thaw cycle

Step-by-step explanation:

The force which produce avalanches and landslides is gravity.

The process by which the Earth's surface is worn down is called erosion. Erosion and weathering are two distinct but related processes. The decomposition of materials through chemical or physical processes is known as weathering. When weathered materials like soil and rock fragments are carried away by wind, water, or ice, erosion occurs.

The Earth's three substances—air, water, and ice—continue to flow in large quantities from one location to another, making erosion an essential component of human life. The energy in their flow is extremely high. All of the small and large substances in their path break and move in the flow's direction.

The most dramatic, unexpected, and hazardous examples of earth elements being pushed by gravity are landslides and avalanches. Avalanches are abrupt snowfalls, whereas landslides are sudden rockfalls.

Massive chunks of rock move swiftly and violently when they abruptly break free from a cliff or hillside. The falling rocks are kept from slowing down by air that is trapped beneath them. Avalanches and landslides can travel at speeds of 200 to 300 km/h.

Prevention's,

Be mindful of your surroundings and keep an eye out for changes in the environment.

When it rains heavily, keep an eye out for deck or patio tilting, cracks or bulges in slopes, and drooping posts or fences. As soil steadily presses against a house and shifts windows and doors out of place, sticking windows and doors can be an indication of earth movement.

Because landslides are more likely to occur where they have already happened, look for landslide scars.

Hence,  Earth materials are transported by gravity from higher elevations to lower heights. Examples of hazardous gravity-driven erosion include mudflows, avalanches, and landslides.

Learn more about erosion;

https://brainly.com/question/3852201

#SPJ6

Answer:

h(-3)=16

h(0)=13

h(8)=5

Step-by-step explanation:

[tex]h( -3) = 13 - ( - 3) = 16 \\ h(0) = 13 - 0 = 13 \\ h(8) = 13 - 8 = 5[/tex]

Answer:

I think its A ratio reduced, since a scale factor is the ratio of the length of a side of one figure to the length of the corresponding side of the other figure.

Answer:

It isn't either of the first two. My best guess would be the units of a ratio, (sorry if it's actually a ratio reduced). It's worded very weirdly

Answer:

3x + 3

Step-by-step explanation:

yeah-ya........ right?

Answer:

It would be located in the second quadrant

Step-by-step explanation:

The reason for this is because the x is a negative and the y is positive.

The arithmetic property used to rewrite the numeric statement is:

A. Associative property of addition

The statement is:

( 6 + 3 ) + 21 − 8 = 6 + ( 3 + 21 ) − 8

In it, the order of the parenthesis is changed, which is the associative property of addition, which states that changing the grouping(order of parenthesis) of the terms does not change the sum.

Hence, the correct option is A.

For more on arithmetic properties, you can check https://brainly.com/question/4343927

Answer:

From the time Ms. Cruz purchased a stock till closing time that day, the value of the stock changed by -27.2 points. During that time, the stock value

changed at a steady rate of -6.4 points per hour.

Answer:

19 tennis rackets

Step-by-step explanation:

Answer:

150.72 in³

Step-by-step explanation:

We know that

Radius = Diameter/2

Radius = 8/2

Radius = 4 in

Now,

Volume of cylinder = πr²h

=> 3.14 × (4)² × 3

=> 3.14 × 16 × 3

=> 150.72 in³

Answer:

The correct answer is option 150.72 in³.

Step-by-step explanation:

Given :

To Find :

Using Formula :

[tex]\star{\small{\underline{\boxed{\sf{\pink{R = \dfrac{D}{2}}}}}}}[/tex]

[tex]\star{\small{\underline{\boxed{\sf{\pink{V = \pi{r}^{2}h}}}}}}[/tex]

Solution :

Firstly, finding the radius of cylinder by substituting the values in the formula :

[tex]\dashrightarrow{\small{\sf{Radius_{(Cylinder)} = \dfrac{D}{2}}}}[/tex]

[tex]\dashrightarrow{\small{\sf{Radius_{(Cylinder)} = \dfrac{8}{2}}}}[/tex]

[tex]\dashrightarrow{\small{\sf{Radius_{(Cylinder)} = \cancel{\dfrac{8}{2}}}}}[/tex]

[tex]\dashrightarrow{\small{\sf{Radius_{(Cylinder)} = 4 \: in}}}[/tex]

[tex]{\star{\underline{\boxed{\sf{\red{Radius_{(Cylinder)} = 4 \: in}}}}}}[/tex]

Hence, the radius of cylinder is 4 in.

[tex]\rule{300}{1.5}[/tex]

Now, finding the volume of cylinder by substituting the values in the formula :

[tex]\dashrightarrow{\small{\sf{Volume_{(Cylinder)} = \pi{r}^{2}h}}}[/tex]

[tex]\dashrightarrow{\small{\sf{Volume_{(Cylinder)} = 3.14 \times {(4)}^{2} \times 3}}}[/tex]

[tex]\dashrightarrow{\small{\sf{Volume_{(Cylinder)} = 3.14 \times {(4 \times 4)} \times 3}}}[/tex]

[tex]\dashrightarrow{\small{\sf{Volume_{(Cylinder)} = 3.14 \times {(16)} \times 3}}}[/tex]

[tex]\dashrightarrow{\small{\sf{Volume_{(Cylinder)} = 3.14 \times 16 \times 3}}}[/tex]

[tex]\dashrightarrow{\small{\sf{Volume_{(Cylinder)} = \dfrac{314}{100} \times 16 \times 3}}}[/tex]

[tex]\dashrightarrow{\small{\sf{Volume_{(Cylinder)} = \dfrac{314 \times 16 \times 3}{100}}}}[/tex]

[tex]\dashrightarrow{\small{\sf{Volume_{(Cylinder)} = \dfrac{314 \times 48}{100}}}}[/tex]

[tex]\dashrightarrow{\small{\sf{Volume_{(Cylinder)} = \dfrac{15072}{100}}}}[/tex]

[tex]\dashrightarrow{\small{\sf{Volume_{(Cylinder)} = Rs.150.72 \: {cm}^{3}}}}[/tex]

[tex]\star{\small{\underline{\boxed{\sf{\red{Volume_{(Cylinder)} = Rs.150.72 \: {cm}^{3}}}}}}}[/tex]

Hence, the volume of cylinder is 150.72 in³.

[tex]\rule{300}{1.5}[/tex]

Answer:

25 disc for 12.50 is the most.

Step-by-step explanation:

You would have see how much each cost for one.

1. 10 for 5.99.

5.99 ÷ 10 is 0.599. So basically .60 cents.

2. 25 for 12.50.

12.50 ÷ 25 is 2. So basically 2 dollars per disc.

3. 50 for 18.75

18.75 ÷ 50 is 0.375. So basically .38 cent.

Now compare them.

1. 0.60

2. 2

3. 0.38

25 disc for 12.50 is the most.

Check the picture below.

Answer:

x=33

Step-by-step explanation:

Answer: The answer is c. f(n)=4n+1

Answer:

21 x n + 14

Step-by-step explanation:

The number of items in each bag times the number of bags plus the 14 items.

Answer:

1.41421356237

Step-by-step explanation:

After every decimal place value, or decimal point, there are infinite rows of invisible 0's

In 1.4, there are countless invisible 0's, which would look like this

1.40000000000000000...

Same for 1.41421356237

1.4142135623700000000...

So now, you can compare and see that 1.41421356237 has a 1 in the hundredths place, while 1.4 has a 0 in the hundredths place

Thus, 1.41421356237 is greater than 1.4

Answer:

D. x=1

Step-by-step explanation:

4x-1=x+2

you cancel out the 1 by adding it to both sides so then it will be 4x=x+3

then subtract x by both sides then it will be 3x=3

then simplify then it will be x=1

Answer:

11/3 = 3 2/3 innings

Step-by-step explanation:

3 pitchers = 11 innings

1 pitcher = x innings

in the first equation, divide both sides by 3 to get 1 pitcher on one side

1 pitcher = 11/3 innings = 3 2/3 innings