Four students simplified the expression.
410
45
Camilla added the exponents: 410 + 5 = 415
Bentley divided the exponents: 410 + 5 = 42
Mira multiplied the exponents: 410.5 = 450
Regan subtracted the exponents: 410 - 5 = 45
Which student correctly simplified the expression?

Answer:

<6, <4,

Step-by-step explanation:

Remote interior angles are interior angles of a triangle where they do not share a point with the exterior angle. So for <6, it's remote interior angles are <1 and <2, and for <4, it's remote interior angles are <3 and <2.

Hope this helps!

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:

21/60

Step-by-step explanation:

32 + 1 + 3 + 3 + 21 = 60

ans = 21/60

Answer:

Step-by-step explanation:

21/60

Answer:

146

Step-by-step explanation:

Answer:

See drawing below.

Step-by-step explanation:

use the equation y=3x+2 to determine points needed, by substituting in the x values of -1, 0, 1, etc.

plot points

(-1, -1)

(0, 2)

(1, 5)

Please give thanks :)

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:

brainly.com/question/30094434

#SPJ7

Step-by-step explanation:

24p - 60

= 12 * 2p - 12 * 5

= 12(2p - 5).

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;

https://brainly.com/question/11536910

#SPJ2

Answer:

x=12, y=-3

Step-by-step explanation:

Plug (-4y) in for x in the top equation. The equation will now read 2(-4y) + 7y = 3. Distribute the 2 into the perenthecies getting: -8y+7y=3. -8+7 is -1 giving -y+3. Divide by -1 making y = -3. Plug -3 back into the top equation and solve for x: 2x + 7(-3)=3. 2x-21=3. 2x=24. x=12.

Answer:

X = 1/3

Step-by-step explanation:

Multiply all terms by x and cancel:

1

3

+3x=4x

3x+

1

3

=4x(Simplify both sides of the equation)

3x+

1

3

−4x=4x−4x(Subtract 4x from both sides)

−x+

1

3

=0

−x+

1

3

−

1

3

=0−

1

3

(Subtract 1/3 from both sides)

−x=

−1

3

−x

−1

=

−1

3

−1

(Divide both sides by -1)

x =  1 /3

Check answers. (Plug them in to make sure they work.)

x =  1 /3

(Works in original equation)

Answer:

B

Step-by-step explanation:

It's B my guy

Answer:

B.)

Step-by-step explanation:

r= 130/2.5

130=r2.5

it would be 52 because you have to divide.... so you would divide 130 by 2.5 and then you would get 52. hope this helps.

Answer:

Then the black cards=12

Step-by-step explanation:

N of red=3

N of black=10

and we have ratio 3:10

think when we ⇒ add 2 to red, will be 5:10= 1:2 not equal to 1:3

                   ⇒add 1 to red and 1 to black, the ratio will be 4:11 not equal to 1:3

                   ⇒add 2 to black, the ratio will be 3:12 = 1:3

Then the black cards=12

hope this helps!

Answer:

Either

(1) there were originally 60 black cards, and 2 red cards were added, or

(2) there were originally 20 black cards, and 1 red card and 1 black card were added.

Step-by-step explanation:

The ratio of red cards to black cards is 3:10.

Since we don't know the actual numbers of red and black cards, we can write the ratio of red to black cards as

3k/10k

After adding 2 cards, the ratio of red cards to black cards becomes 1:3.

There are 3 ways of adding 2 cards: (A) both red, (B) 1 red and one black, (C) both black.

Possibility A: add two red cards

(3k + 2)/(10k) = 1/3

10k = 9k + 6

k = 6

3k/10k = 3(6) / 10(6) = 18/60

There were originally 60 black cards.

Possibility B: add 1 red card and 1 black card

(3k + 1)/(10k + 1) = 1/3

10k + 1 = 9k + 3

k = 2

3k/10k = 3(2) / 10(2) = 6/20

There were originally 20 black cards.

Possibility C: add two black cards.

(3k)/(10k + 2) = 1/3

10k + 2 = 9k

k = -2

3k/10k = 3(-2) / 10(-2) = -6 / -20

We cannot have a negative number of cards.

No solution.

Answer: Either there were originally 60 black cards, and 2 red cards were added, or there were originally 20 black cards, and 1 red card and 1 black card were added.

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:

answer is B

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

[tex] |15 - 23| = | - 8| = 8[/tex]

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:

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:

The linear function f(x) = -6x - 4

Step-by-step explanation:

The equation of the linear function f(x) is y = m x + b, where

The rule of the slope is m = [tex]\frac{y2-y1}{x2-x1}[/tex] , where  

∵ f(x) = y ⇒ is the function of the set of ordered pairs (x, y)  

∴ f(-2) = 8 is the point (-2, 8)  

∴ f(1) = -10 is the point (1, -10)

∴ x1 = -2 and y1 = 8

∴ x2 = 1 and y2 = -10

→ Substitute them in the rule of the slope to find it

∵ m = [tex]\frac{-10-8}{1--2}[/tex] = [tex]\frac{-18}{1+2}[/tex] =  [tex]\frac{-18}{3}[/tex]

∴ m = -6

→ Substitute it in the form of the equation above

∵ y = -6(x) + b  

∴ y = -6x + b

→ To find b substitute x by 1 and y by -10

∵ x = 1, y = -10

∴ -10 = -6(1) + b

∴ -10 = -6 + b

→ Add 6 to both sides

∵ -10 + 6 = -6 + 6 + b

∴ -4 = b

∴ b = -4

→ Substitute it in the equation

∴ y = -6x + -4

∴ y = -6x - 4

∵ y = f(x)

∴ The linear function f(x) = -6x - 4

Answer:

1/2

Step-by-step explanation:

Calculator :)

Answer:

Line segment BD is congruent to line segment DC because they are divided by a bisector, which tells you that a bisector is present when both sides of the shape are congruent.

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

The opposite angles in a parallelogram are congruent, thus

∠ C = ∠ A = 57°

Answer:

(-3,4) is the right answer i think im not sure nvm im positive that this is the right answer.........i think

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:

212.7

Step-by-step explanation:

Calculation to Find P60 the score which separates the lower 60% from the top 40%

First step is to find z of 60% using the invNorm distribution

Hence,

z=0.6=0.2533

Now let Find P60 which is the score which separates the lower 60% from the top 40% using this formula

x<=>z

Where,

Standard deviation=50

Mean=200

z=0.2533

Let plug in the formula

x=0.2533*50+200

x=12.665+200

x=212.665

x=212.7(Approximately)

Therefore the score which separates the lower 60% from the top 40% is 212.7

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:

m= -2 1/2

Step-by-step explanation:

First, let's put the equation into slope intercept form.

6x-15y=270

-15y=-6x+270

y=6/15x+270

For two lines to be perpendicular, their slopes must be opposite reciprocals.

m=-15/6 or m= -2 1/2

Answer:

slope = - [tex]\frac{5}{2}[/tex]

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

6x - 15y = 270 ( subtract 6x from both sides )

- 15y = - 6x + 270 ( divide all terms by - 15 )

y = [tex]\frac{-6}{-15}[/tex] x - 18, that is

y = [tex]\frac{2}{5}[/tex] x - 18 ← in slope- intercept form

with slope m = [tex]\frac{2}{5}[/tex]

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{2}{5} }[/tex] = - [tex]\frac{5}{2}[/tex]

Answer:

the bottom table (1,-5)

Step-by-step explanation:

the equation is y=5x-10

the equation has no multiple powers involved like cubed or squared

Answer:

nnnnnnnn

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Answer:

3600 in

Step-by-step explanation:

12 * 15 = 180

180 * 20 = 3600

Then just add the right unit

3600 in