2-3 Additional Pracitce

Parallel Lines and Triangle Angle Sums

Exercises 13-15

Answer:

They sold a total of 66 pizzas.

Step-by-step explanation:

65% of 40 = 26

40 + 26 = 66 pizzas

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Answer:

3 °F/h

Step-by-step explanation:

The rate per hour of temperature change = change in temperature per measurement/change in time per measurement.

Now, the change in temperature per measurement is constant = 3/4 °F and the change in time per measurement is constant = 15 minutes = 15/60 h = 1/4 h.

So, rate per hour of temperature change = change in temperature per measurement/change in time per measurement

= 3/4 °F ÷ 1/4 h

= 3/4 °F × 4/h

= 3 °F/h

So, the rate per hour of temperature change is 3 °F/h

Answer:

This be the ooogggaaaaa boooogaaaaa 696969

Step-by-step explanation:

uhhh

Answer:

this is really good but very sad so if thats what you're going for then you did a really good job!! :(

Step-by-step explanation:

Answer:

i love it!!! very cool

Step-by-step explanation:

Answer:

third option

Step-by-step explanation:

Differentiate using the product rule

Given f(x). g(x) then the derivative is

f(x). g'(x) + g(x). f'(x) ← product rule

Given

[tex]\frac{d}{dx}[/tex](x² secx )

with f(x) = x² and g(x) = secx , then

f'(x) = 2x and g'(x) = secxtanx, thus

[tex]\frac{d}{dx}[/tex](x² secx)

= x². secxtanx + secx. 2x ← factor out xsecx from each term

= xsecx(xtanx + 2) → third option

Answer:

7/2x

Step-by-step explanation:

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

Explanation:

Original list = {56,34,45,65,67,56,45,36,92,73,92,45,56}

Sorted list = {34,36,45,45,45,56,56,56,65,67,73,92,92}

We see that 45 and 56 both occur three times each, and this is the most occurring or most frequent. So the mode is the set {45, 56}. It is possible to have more than one mode. It is also possible to not have a mode at all if each value in a list only occurs one time.

Answer:

its between 56 and 45 and i havent rlly done this since 5th or 6th grade so

Step-by-step explanation:

Answer:

y is 3 and x is 5 2.)many solutions

Step-by-step explanation:

Answer:

117.8

Step-by-step explanation:

i used heron's formula

√s(s-a)(s-b)(s-c)

s= (20+16+33)/2 = 34.5

√34.5(34.5-20)(34.5-16)(34.5-33)

= 117.8

Answer:

Here's one :)

3 x 4=  12 =  1

8 x 3=  24 = 2

-by-step explanation:

The two methods of finding the quotient are flipping the divisor and then multiplying and the second one is converting the fractions into decimals and dividing them.

Fractions describe the part of something present out of the total amount

We know that the result of diving a fraction by a fraction is the same as multiplying that fraction by the reciprocal of the divisor.

∴ (3/8) ÷ (3/4) is,

= (3/8) × (4/3).

= 4/8.

= 1/2.

The second method is converting the fractions into decimals and then dividing them in a conventional way.

3/8 = 0.375 and 3/4 = 0.75.

∴ 0.375 ÷ 0.75 is,

= 0.5.

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Rewrite the length of the movie as an improper fraction.

2 1/3 = 7/3

Now multiply the length of the movie by 3/4

7/3 x 3/4 = (7 x3) / (3 x 4) = 21/12 = 1 3/4 hours

Answer:

1

Step-by-step explanation:

the answer to this question is 1, you need to multiply all sides together to get the volume (5/4)(4/3)(3/5) is one

hopefully this is right

Answer:

1/4096

Step-by-step explanation:

[tex](4*2)^{{(2-2*2)}^2}\\\\=8^{-2^2}\\\\=[\frac{1}{64}]^2\\\\=\frac{1}{4096}[/tex]

you work from bottom to top

Answer:

The stack of blocks is 25.96 inches tall

Step-by-step explanation:

Volume of a Cube

Suppose we are given a cube of side L, the volume is calculated by:

[tex]V=L^3[/tex]

If the volume is given, the side can be found by solving for L:

[tex]L=\sqrt[3]{L}[/tex]

We know three cube-shaped blocks with volumes 375, 648, and 1029 cube inches. We'll find each of the side lengths and add them up to find the height that results when they stack up vertically.

Block 1, volume =375 cube inches:

[tex]L_1=\sqrt[3]{375}=7.21\ inch[/tex]

Block 2, volume= 648 cube inches:

[tex]L_2=\sqrt[3]{648}=8.65\ inch[/tex]

Block 3, volume =1029 cube inches:

[tex]L_3=\sqrt[3]{1029}=10.10\ inch[/tex]

Total height=[tex]7.21\ inch+8.65\ inch+10.10\ inch=25.96\ inch[/tex]

The stack of blocks is 25.96 inches tall

Answer:

75 % of the items lie.

Step-by-step explanation:

Upper quartile is the point below which 75 % of the items lie.

Answer $ 17 Step-by-step explanation:

Answer:

1- no

2- yes

3- no

4- yes

the ones that are no are because they either have x-values that repeat or they have y-values that repeat

Step-by-step explanation:

Answer:

i dont understand spanish im so sorry

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answers C, D are correct

TBh i really don't know about B because i also think its B but i'm not really that sure but it could be a possibility\

If a cheetah ran 196m is 8 seconds, then 196/8 = 24.5 meters per second.

Let’s verify all answers:

A) 24.5 x 6 = 147. 147m are ran in 6 seconds, not 125.

B) 24.5 x 10 = 245. This answer is correct!

C) We’ve establishes that a Cheetah ran 24.5 meters per second. Correct!

D) Since one minute equals 60 seconds, 24.5 x 60 = 1470. Correct!

E) 24.5 x 5 = 122.5. In this time frame, a cheetah wouldn’t run 125m.

Answer:

x^(n+2)

Step-by-step explanation:

When multiplying two monomials with the same base but different exponents,

under the multiplication rule of exponents,

the product becomes the base number to the power of the sum of the exponents.

For example:

[tex]a^2 + a^1 = a^(1+2)[/tex]

Therefore, since x^n and x^2 both have x as their bases,

the product becomes x^(n + 2)

Answer:

1,2,4,6,7

Step-by-step explanation:

The given shape is a pentagon, an irregular polygon, and also convex.

A Polygon is considered to be Concave if its diagonal can lie outside the Polygon as well.

A polygon is considered to be Convex if all of its diagonals lie within it.

A polygon is considered to be regular if it is convex and has equal sides and angles.

If all of the angles and sides of a polygon are not equal, it is said to be irregular.

Here,

The given shape has five sides, which means this is a pentagon.

The given shape has unequal sides, which means this is an irregular pentagon.

The given shape has it's all its diagonals lying inside, which means this is a convex pentagon.

Thus, the given shape is a pentagon, an irregular polygon, and also convex.

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Answer:

The second term is 12.6

Step-by-step explanation:

Let us solve the question

∵ The recursive formula f(n) = 0.4 ⋅ f(n − 1) + 11

∵ f(1) = 4

→ To find the 2nd term, sunstitute n by 2

∵ n = 2

∴ f(2) = 0.4 · f(2 - 1) + 11

∴ f(2) = 0.4 · f(1) + 11

→ Substitute f(1) by 4

∵ f(2) = 0.4 · 4 + 11

→ Simplify the formula

∴ f(2) = 1.6 + 11

∴ f(2) = 12.6

∴ The second term is 12.6

Answer:

y = 4x/3 - 2

Step-by-step explanation:

Answer:

alr i tried, i hope i got them right! <3 pls let me know if i got them wrong.

1. 108 | 6x12 = 72 9x12 = 108 |

2. 91 | 13x7 = 19

3. 19 | 108/6 90/6 = 19/15 |

4. 50. 400/8 = 50

5. 50. 300/6

hope this helped! <3

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

yes the solution is 8

Step-by-step explanation:

subtract 9 from both sides

1/2x+9-9=13-9

simplify

1/2x=4

multiply both sides by 2

2 x 1/2=4 x 2

simplify

x=8

Answer:

Step-by-step explanation:

Had the answer put don't remember

Answer:

The equations 9x+8y=14100 and x = y+150 are in the simplest form.

Step-by-step explanation:

Given that:

Russian blue kitten costs $150 more than Manx kitten.

Cost of 9 blue kittens and  8 Manx kittens = $14100

Let,

x be the price of one Russian blue kitten.

y be the price of one Manx kitten.

According to given statement;

9x+8y=14100

x = y+150

Hence,

The equations 9x+8y=14100 and x = y+150 are in the simplest form.