Gustus bought three pairs of shoes. Each pair costs $19.98. What is the total amount he spent on shoes, before tax?

Answer:

Angle 1 = 75°

Angle 2 = 55°

Angle 3 = 55°

Angle 4 = 40°

Angle 5 = 140°

Angle 6 = 40°

Angle 7 = 75°

Angle 8 = 65°

Angle 9 = 115°

Step-by-step explanation:

1) We start with angle 2

Angle 2

Angles on a straight line = 180°

Hence,

b + 125° = 180°

b = 180° - 125°

b = 55°

Angle 2 = 55°

2)Angle 1

The sum of angles in a triangle = 180°

Hence

Let Angle 1 = a

50° + 55° + a = 180°

a = 180° - (50° + 55°)

a = 180° - 105°

a = 75°

3)Angle 3

Angle 2 and Angle 3 are vertical angles

So we use the Vertical angle theorem

This means

Angle 2 = Angle 3

Angle 2 = 55°

Hence, Angle 3 = 55°

4) Angle 4

Sum of Angles in a triangle = 180°

Let Angle 4 = d

Hence:

85° + Angle 3 + d = 180°

85° + 55° + d = 180°

d= 180° - (85° + 55°)

d = 180°- 140°

d = 40°

5)Angle 5

Angle 4 and Angle 5 are angles on a straight line

Sum of angles on a straight line = 180°

Angle 4 = 40°

Let Angle 5 = e

Hence:

40° + e = 180°

Collect like terms

e = 180° - 40°

e = 140°

6) Angle 6

Angle 4 and Angle 6 are vertical angles

Using Vertical angle theorem,

Angle 4 = Angle 6

Angle 4 = 40°

Hence, Angle 6 = 40°

7)Angle 9

Solving for Angle 9,

Sum of angles on a straight line = 180°

Angle 9 = i

i + 65° = 180°

i = 180° - 65°

i = 115°

8) Angle 8

= Angle 9 and Angle 8 are angles in a straight line

= Angle 8 = h

h + 115° = 180°

h = 180° - 115°

h = 65°

9)Angle 7

Sum of angles in a triangle = 180°

Angle 7 = g

g = 180° - (65° + Angle 6)

= 180° - (65 + 40

= 180° - 105°

= 75°

Answer:

256 miles

Step-by-step explanation:

The Pythagoras theorem is a² = b² + c² where a is the hypotenuse or longest side

To find the shorter side, the equation is rearranged so c² = a² - b² (whether it is b or c doesn't matter)

so √377² - 277² = 255.7342371

Answer to number 22

Answer: 256 miles

Answer:

Faltan 265 metros por embaldosar.

Step-by-step explanation:

Un decámetro equivale a 10 metros, mientras que un hectómetro equivale a 100 metros. A continuación, calculamos la longitud equivalente de calle en metros:

[tex]x = 3\,hm \times \left(\frac{100\,m}{1\,hm} \right)+9\,dam\times \left(\frac{10\,m}{1\,dam} \right)[/tex]

[tex]x = 390\,m[/tex]

La longitud pendiente por poner baldosas es la longitud total menos la longitud ya embaldosada, es decir:

[tex]y = 390\,m-125\,m[/tex]

[tex]y = 265\,m[/tex]

Faltan 265 metros por embaldosar.

Answer:

f(0)=17

y-intercept=17

Step-by-step explanation:

Answer:

(0, 17) is the correct answer

Step-by-step explanation:

answer is D

from y-y'=m(x-x') ,where m is slope and x' and y' are our points then ;

given are;

m=5, x' =1 and y' =9

By substituting our given

y-9=5(x-1)

Answer:

0, -12

Step-by-step explanation:

Answer:

5/14

Step-by-step explanation:

Answer:10/91

Step-by-step explanation:

Answer:

jdhfbdsbsjrnmf

Step-by-step explanation:

Answer:

3) x = −11

4) x = 40/11 or 3.636363... (it keeps going)

5)

Step-by-step explanation:

3) 5x/6 − ( 2x − 1/2 ) + 4 − 2x/3 = 11

Step 1: Simplify both sides of the equation.

5x/6 − ( 2x−1/2 ) + 4 − 2x/3 = 11

5x/6 + − x + 1/2 + − 2/3x + 4/3 = 11  ( Distribute )

5/6x + − x + 1/2 + − 2/3x + 4/3 = 11

( 5/6x + − x + − 2/3x ) + ( 1/2 + 4/3 ) = 11  ( Combine Like Terms )

−5/6x + 11/6 = 11

Step 2: Subtract 11/6 from both sides.

−5/6x + 11/6 − 11/6 = 11 − 11/6

−5/6x = 55/6

Step 3: Multiply both sides by 6/(-5).

( 6/−5 ) * ( −5/6x ) = ( 6/−5 ) * ( 55/6 )

x = −11

4) 10 - 2x = 3/4x

x = 40/11

(going to also be long I so wont put my work here)

5) -3( x - 3 ) - 9x - 9 = 4( x + 2 ) - 12

x = 1/4

(again, is long so wont put work)

Step-by-step explanation:

For first you can do like this:

Angle T you can get:

180°-(25°+55°)

180°-80°

100° Angle T

And Angle X is

180°- 100°= 80°

Second one:

First you need to find angle S and you do it like this:

180°-156°= 24°

Then angle R is:

180°-(24°+96°)= 180°-120°=60°

Hope this helps.

Answer:

A) 3.5

16 shovels full

Step-by-step explanation:

9x + 13 = 17x - 15

8x = 28

x = 3.5

20 + 5x = 32 + 4.25x

0.75x = 12

x = 16

Answer:

20 songs.

Step-by-step explanation:

PEMDAS OR PEDMAS order of operations.

Answer:

F - 20 songs

Step-by-step explanation:

Sandra has $120. Each gift card costs $12.

$120 ÷ $12 = 10. So, Sandra buys 10 gift cards.

Each gift card can be used to download 10 songs. So, 10 gift cards can be used to download 10 × 10 = 100 songs.

There are 5 children. Each child can download 100 ÷ 5 = 20 songs.

Let's consider the scenario after each year:

After the zeroth year, the population is: 120 000(1 + 0.04)⁰

After the first year, the population is: 120 000(1 + 0.04)¹

After the second year, the population is: 120 000(1 + 0.04)²

...

Thus, we can find the general rule:

After the nth year, the population is: 120 000(1 + 0.04)ⁿ

And after the 16th year, the population is 120 000(1 + 0.04)¹⁶ = 224 758 (rounded to nearest whole number)

Answer:

step 4

Step-by-step explanation:

4+2=6

Answer:

4

Step-by-step explanation:

Yep

Answer:

13

Step-by-step explanation:

20 ÷ (5 x 2/5) + 3

20 ÷ (2) + 3

10 + 3

13

The value of the expression is 13.

We have,

20 ÷ (5 x 2/5) + 3

Applying the PEMDAS rule.

20 ÷ 2 + 3

20/2 + 3

10 + 3

13

Thus,

The value of the expression is 13.

Learn more about expressions here:

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it doesnt have the formula without formula u cant find the area

Answer:

she missed 5 times

Step-by-step explanation:

So she has 52 points already and the final amount was 37.

so each miss is -3 so we can make the amount with “x”

51-3x=37

SOlve and you would get 5 misses

There are 5 times she missed the board.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

She scores 52 positive points.

She gets a '- 3' score each time she misses the board.

And, Total final points = 37

Now,

Let the number of missed the boards = x

So, We can formulate as;

⇒ 52 - 3x = 37

Solve for x as;

⇒ 52 - 3x = 37

⇒ 52 - 37 = 3x

⇒ 15 = 3x

⇒ 3x = 15

⇒ x = 15/3

⇒ x = 5

Thus, There are 5 times she missed the board.

Learn more about the mathematical expression visit:

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Answer:

B. (2, 1)

Step-by-step explanation:

The coordinate of C is the point at which point A and B meet after being extended

Step-by-step explanation:

3a permieter

16+16+8+8+8+16+8 = 80

area = (16x16) +(8x8)= 256 +64 = 320

3b permieter: 10+ (2π3)/2 = 19.42

area1/2(6)(4) = 12

π (3)^2 = 28.26/2 + 12 = 26.13

Answer:

A and c

Step-by-step explanation:

I took the test

Answer:

4,400 = 44 * 100

44 = 2 * 2 * 11

100 = 2 * 2 * 5 * 5

prime factors = 2 * 2 * 2 *2 * 5 * 5 * 11

Step-by-step explanation:

Answer:

x^4 - 2x^2 + 3

Step-by-step explanation:

Rearrange the terms so that they are in descending order by powerss of x;

Highest power is 4:  x^4, followed by x^2 and then the constant, x:

-2x^2 + x^ 4+ 3 =  x^4 - 2x^2 + 3 (answer)

Answer:

5

Step-by-step explanation:

Answer:

imma say the answer is 6

Step-by-step explanation:

hi im back

Answer:

D: 25 miles

Step-by-step explanation:

Pythagorean Theorem:

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

36^2 + b^2  =  39^2

1,296 + b^2  =  1,521

b^2  =  225

b  =  25