Planes A and B are shown.
If a new line, p, is drawn parallel to line I, which
statement is true?
n
VI A
Line p must be drawn in plane B.
O Line p must be perpendicular to line m.
Line p must be drawn so that it can lie in the same
plane as linel.
O Line p must be drawn in the same plane as line n.
m

Answer:

y = 70x - 1500

Step-by-step explanation:

Price per ticket = 70

Using the relation :

y = mx + c

x = number of tickets sold

When x = 10 ; y = - 800

Hence,

-800 = 70(10) + c

-800 = 700 + c

-800 - 700 = c

Hence, c = - 1500

The equation for the net profit in dollars is :

y = 70x - 1500

A n s w e r :

B. AB = PQ

The condition which satisfy the congruency of the given triangle is

BC≈QR.

Two triangles are said to be congruent if all the corresponding sides are equal and all the corresponding angles are equal. The symbol of congruency is '≅'

here, we have,

from the given information, we get,

To show that triangle ABC ≈ triangle PQR by SSS,

In this type of congruency, all the sides of the triangle ABC is equivalent to the all the sides of the triangle PQR.

Given, AC≅PR, AB≅PQ.

The another one condition is BC≅QR.

Hence, the condition which satisfy the congruency of the given triangle is BC≈QR.

Learn more about congruency of triangles here:

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Answer:

neither parallel nor perpendicular

if you need an explanation, put it in the comments :)

Answer:

nnnnnnnn

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Answer:

51 degrees

Step-by-step explanation:

angle 1 is 104 and angle 3 is 25

add those and u get 129

it has to all equal 180 so...

180-129 is 51

Answer:

Step-by-step explanation:

Answer:

A and B

Step-by-step explanation:

Given

List of given options

Required

Which will correctly take 3 to fill the blank

Represent the blanks with x

Option A:

[tex]x : 4 = 12 : 16[/tex]

Convert to fractions

[tex]\frac{x}{4} = \frac{12}{16}[/tex]

Multiply through by 4

[tex]4 * \frac{x}{4} = 4 * \frac{12}{16}[/tex]

[tex]x = \frac{48}{16}[/tex]

[tex]x = 3[/tex]

Option B:

[tex]1 : 5= x : 15[/tex]

Convert to fraction;

[tex]\frac{1}{5} = \frac{x}{15}[/tex]

Multiply through by 15

[tex]15 * \frac{1}{5} = \frac{x}{15} * 15[/tex]

[tex]15 * \frac{1}{5} = x[/tex]

[tex]3 = x[/tex]

[tex]x = 3[/tex]

Option C:

[tex]x : 1 = 12 : 3[/tex]

Convert to fraction

[tex]\frac{x}{1} = \frac{12}{3}[/tex]

[tex]x = 4[/tex]

Option D

[tex]15:x = 3:1[/tex]

Convert to fraction

[tex]\frac{15}{x} = \frac{3}{1}[/tex]

Cross Multiply

[tex]3 * x = 15 * 1[/tex]

[tex]3 * x = 15[/tex]

Divide through by 3

[tex]x = 5[/tex]

From the above calculations.

Option A and B can be filled with 3

Answer:

f (x)=2x-9

[tex]\sf f^{-1 (3)}[/tex]

[tex]\sf f^{-1 (x)}[/tex]

We need to find

[tex]f^-3 \\ f^{-x}[/tex]

[tex]\qquad{:}\longrightarrow\tt f^-3=2^{-3}-9 [/tex]

[tex]\qquad{:}\longrightarrow\tt -8-9 [/tex]

[tex]\qquad{:}\longrightarrow\tt f^-x=2(-x)-9 [/tex]

[tex]\qquad{:}\longrightarrow\tt -2x-9 [/tex]

[tex]\qquad{:}\longrightarrow\tt f^{-x}=2x+9 [/tex]

Answer:

i think its B

Step-by-step explanation:

im not sure but im pretty sure if its wrong im sorry but im pretty sure its correct

Answer:

146

Step-by-step explanation:

Answer:

61.25%

Step-by-step explanation:

percent = part/whole * 100%

percent = 98/160 * 100%

percent = 0.6125 * 100%

percent = 61.25%

Answer: 61.25%

Answer:

61%

Step-by-step explanation:

To find the percent, divide 98 by 160

98÷160=0.6125

move the decimal of 2 spaces then round to the nearest hundredth

Answer:

-3.75

Step-by-step explanation:

Answer:

k = [tex]\frac{4}{3}[/tex]

Step-by-step explanation:

I assume the function is

f(x) = 2x³ - kx² + x - 8k

2(2)³ - k(2)² + 2 - 8k = 2

- 12k + 16 = 0

3k - 4 = 0 ⇒ k = [tex]\frac{4}{3}[/tex]

Answer:

(3a+4)(9a^2-12a+16)

Step-by-step explanation:

It's a perfect square :)

The factors of the given polynomial are (4+3a)(9a²-12a+16)

A polynomial is defined as an expression which is composed of variables, constants and exponents, that are combined using mathematical operations.

Given that, a polynomial, 64+27a³

Using identity : a³+b³ = (a+b)(a²-ab+b²)

We get,

= (4+3b)(4²-4x3a+(3a)²)

= (4+3a)(16-12a+9a²)

Hence, the factors of the given polynomial are (4+3a)(9a²-12a+16)

For more references on polynomials, click;

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Answer:

if you are asking 20% of 80, then its 16

Step-by-step explanation:

0.2 x 80 = 16

Answer:

25

Step-by-step explanation:

25

Percentage Calculator: 20 is what percent of 80? = 25.

Answer:

x = 20

Step-by-step explanation:

For the lines to be parallel, then (3x + 20) and (3x) are alternate angles and congruent, thus

3x = 2x + 20 ( subtract 2x from both sides )

x = 20

Answer:

The answer is -107

Step-by-step explanation:

Step-by-step explanation:

24p - 60

= 12 * 2p - 12 * 5

= 12(2p - 5).

Step-by-step explanation:

(arb)4 = 81r24

a4r4b = 81r24

a4  = 81

a = 4√81

a = 3

r4b = r24

4b = 24

b = 6

any more help just ask :)

Answer:

4x^2-3x+2

Step-by-step explanation:

Answer:

4x^2 - 3x + 2

Step-by-step explanation:

(3x^2 + 2x - 8) + (x^2 - 5x + 10)

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

(2x) + (-5x) = -3x

(-8) + (10) = 2

4x^2 - 3x - 2

Answer:

3600 in

Step-by-step explanation:

12 * 15 = 180

180 * 20 = 3600

Then just add the right unit

3600 in

Answer:

it helps us to add faster bc we can regroup numbers when we add. in the associative property, the order of the numbers don't change, only the grouping does

Step-by-step explanation:

Answer:

Did you know that the associative property can help us solve problems faster? ... According to the associative property, we can regroup the numbers when we add, and we can regroup the numbers when we multiply.

Step-by-step explanation:

Hey there!

Basically, the alternate interior angles is/are the inside of the given lines but it’s unlikeable sides of your transversal

Basically, ∠1 & ∠2 are alternative interior angles

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

Answer:

in the above pic you can see 12345678 marked angles

the alternate interior angles are angle3,5,4and6

they are pairs of alternat interior angles

Step-by-step explanation:

I hope it helps mate

i will always help you understanding your assingments

have a great day

#Captainpower#

Answer:

864 rs

Step-by-step explanation:

10% of 960 is 96

960-96=864

Answer:

I,dont know but use M A T H W A Y it will explain with all the stepp by step and answere

Step-by-step explanation: