which of the following are remote interior angles of 5 ?

Answer:

They have the same slope

Step-by-step explanation:

The standard equation of a line in point-slope form is expressed as;

y-y0 = m(x-x0)

We can see that both equations given are written in this form with a slope of 1.2. For two lines to be equal, they must have the same slope no matter the point on the lines. Hence the two equations are equal since they have different slopes.

Answer:

33

Step-by-step explanation:

Start by adding the 3 to the other side (2/3x=22)

Then, you divide 2/3 to cancel it out. To do that, multiply 22 by 3/2 which equals to 33.

Answer:

2/3x - 3 = 19

We first isolate the variable and solve for x, (we get rid of any constants first in the process)

2/3x - 3 = 19 the three is the constant so we get rid of it by adding three to both sides.

2/3x - 3 = 19

+3            +3

2/3x = 22

Now we divide by 2/3 on both sides

X = 33

Solution :

Given :

Principal amount, P = Rs. 1000

Time period = 12 months

The maturity value = Rs. 12,715

We know that,

[tex]$ SI = \frac{PTR}{100}$[/tex]

[tex]$SI = 1000 \times \frac{n(n+1)}{2 \times 12} \times \frac{R}{100}$[/tex]

[tex]$SI = 1000 \times \frac{12(12+1)}{2 \times 12} \times \frac{R}{100}$[/tex]

SI = 65 R

So we know,

maturity value = principal amount + SI

12715 = 1000 + 65 R

65 R = 12715 - 1000

65 R = 11715

R = 18%        

So the rate is 18%

Answer:

[tex]R=11\%[/tex] p.a.

Step-by-step explanation:

Given:

the principal amount deposited each month, [tex]P=Rs. 1000[/tex]

amount after maturity of one year, [tex]A=Rs. 12715[/tex]

We have the formula as:

[tex]I=\frac{PR}{100}\times\frac{T(T+1)}{2\times 12}[/tex]

where:

R = rate of interest per annum

T = time in months

[tex]A-12P=\frac{PR}{100}\times\frac{T(T+1)}{2\times 12}[/tex]    [since the principal is deposited each month]

[tex]715=\frac{1000\times R}{100}\times \frac{12\times 13}{24}[/tex]

[tex]R=11\%[/tex] p.a.

Answer:

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Answer:

252 ways

Step-by-step explanation:

The missing details are:

[tex]n = 10[/tex] --- total restaurants

[tex]r = 5[/tex] --- restaurants to visit

Required

The number of ways to perform the visitation

The question is an illustration of combination;

So, we have:

[tex]^nC_r = \frac{n!}{(n - r)!r!}[/tex]

This gives:

[tex]^{10}C_5 = \frac{10!}{(10 - 5)!*5!}[/tex]

[tex]^{10}C_5 = \frac{10!}{5!*5!}[/tex]

Expand

[tex]^{10}C_5 = \frac{10*9*8*7*6*5!}{5!*5*4*3*2*1}[/tex]

Cancel out 5!

[tex]^{10}C_5 = \frac{10*9*8*7*6}{5*4*3*2*1}[/tex]

[tex]^{10}C_5 = \frac{30240}{120}[/tex]

[tex]^{10}C_5 = 252[/tex]

Answer:

the picture below has the answer

Step-by-step explanation:

The missing numbers are 312.5 and 35.2

Answer:

option 1

Step-by-step explanation:

y ≤ x - 2

-4 ≤ 2-0

-4 ≤ 2  Satisfies the inequality

y ≥ - x - 4

-4 ≥ - 2- 4

-4 ≥ - 6  (2 , -4) satisfies the inequality

Answer: y and x

Step-by-step explanation:

Answer:

Step-by-step explanation:

If one leg is 7x than other leg is 24x

Using Pythagoras

50² = (7x)² + (24x)²

2500 = 49x² + 576x²

2500 = 625x²

x² = 2500/625 = 4

x = +2 or -2 ; x is positive

Means 7 x = 14 and 24x = 48

The two sides are 14cm and 48cm

Test: 14² + 48² = 196 + 2304 = 2500= 50²

We know

[tex] \\ \sf \longmapsto \: new \: length = length + increased \: length \\ \\ \sf \longmapsto \: new \: length = 11.4 + 2.25 \\ \\ \sf \longmapsto \: new \: length = 13.65in[/tex]

Answer:

please send the pic again clearly

Answer:

I hope it will help you

Step-by-step explanation:

thank u

Answer:

c

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how are you

Answer:

87,500,306

Step-by-step explanation:

87 million 500 thousand 306

The number name for the numeral 87500306 is written as Eight crore seventy five lakh and three hundred six in  Indian system and Eighty seven million five hundred and three hundred six in International system.

To write the number name for the numeral 87500306.

A numeral is a figure, symbol, or group of figures or symbols denoting a number. Numerals are made up of digits; 1 is a digit, "123" is made up of 3 digits, and "123" is a numeral that represents the number one hundred twenty-three.

1. Indian system =8,75,00,306

Eight crore seventy five lakh and three hundred six.

2. International system 87,500,306

Eighty seven million five hundred and three hundred six.

So, the number name for the numeral 87500306 is written as Eight crore seventy five lakh and three hundred six in  Indian system and Eighty seven million five hundred and three hundred six in International system.

Learn more about numerals here:

https://brainly.com/question/24265590

#SPJ2

Answer:

(7, 13/3)

Step-by-step explanation:

Given the expressions

y = 1/3x + 2 and the second line y = 4/3x - 5

Equating both expressions

1/3x + 2 = 4/3x - 5

1/3x - 4/3x = -5 - 2

-3/3x = -7

-x = -7

x = 7

Substitute x = 7 into any of the equations

Using y = 1/3 x + 2

y = 1/3(7) + 2

y = 7/3 + 2

y = (7+6)/3

y = 13/3

Hence the solution to the system of the equation is (7, 13/3)

Answer:

(7,13/3) is your answer, otherwise known as answer choice B.

Step-by-step explanation:

Answer:

[tex]\sqrt{16}[/tex] is rational number

Step-by-step explanation:

Rational number is of the form p/q, where q ≠ 0. It may be a terminating number or non terminating repeating number.

√2 is irrational number as it is non terminating non repeating number

π is irrational number as it is non terminating non repeating number

√10 is irrational number as it is non terminating non repeating number.

[tex]\sqrt{16}=\sqrt{4*4}=4[/tex]

[tex]\sqrt{16}[/tex] is a rational number

Answer:

A. x = 4

Step-by-step explanation:

[tex]7x-2(x-10)=40\\7x-2x+20=40\\5x+20=40\\5x=20\\x=4[/tex]

Answer:

B

Step-by-step explanation:

find the probability of picking the first green marble, which would be 2/10

then afterwards once the marble is removed, it would be 1/9

Multiply both 2/10 and 1/9 to get 0.022, which rounds to 0.02

Answer:

0.02

Step-by-step explanation:

3+5+2 = 10

to choose 1 green the probability is 2/10 = 1/5

if we do not replace it, then there are now 9 marbles left and only 1 green left, so 1/9

to find them both in a row, multiply

1/5 * 1/9 = 1/45 = 0.02222

Answer:

Relation 1,2,and 4 are functions, but relation 3 not is a function.

Step-by-step explanation:

function 1 input, no function with the same input like m in relation 3.

Answers:

y-intercept:  (0, -45)

x-intercept:  (-10, 0)

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

Explanation:

The y intercept is the location where the line or curve crosses the y axis.

That location is (0, -45) or we can say "the y intercept is -45" as shorthand. The x value is always 0 for the y intercept.

---------------

The x intercept flips everything around from earlier. Now y = 0 is always the case and we're looking where the graph crosses the x axis. That would be at (-10, 0)

Answer:

x = -5 or x= 2

Step-by-step explanation:

|-4x-6| = 14

There are two solutions, one positive and one negative

-4x-6 = 14       -4x-6 = -14

Add 6 to each side

-4x-6+6 = 14+6       -4x-6+6 = -14+6

-4x = 20                      -4x = -8

Divide by -4

-4x/-4 = 20/-4               -4x/-4 = -8/-4

x = -5                                x = 2

Now we have to,

find the required value of x.

Given that,

→ |-4x -6| = 14

Let's find the both positive value and negative value,

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

→ -4x -6 = 14

→ -4x = 14 + 6

→ -4x = 20

→ x = 20/-4

→ [x = -5]

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

→ -4x -6 = -14

→ -4x = -14 + 6

→ -4x = -8

→ x = -8/-4

→ x = 8/4

→ [x = 2]

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

Therefore, x is -5 (or) 2 is the answer.

Notice that

• π/2 = π/3 + π/6

• π/6 = π/3 - π/6

Recall the angle sum identities for sine:

sin(x + y) = sin(x) cos(y) + cos(x) sin(y)

sin(x - y) = sin(x) cos(y) - cos(x) sin(y)

By adding these together, we get

sin(x + y) + sin(x - y) = 2 sin(x) cos(y)

==>   sin(x) cos(y) = 1/2 (sin(x + y) + sin(x - y))

Now take x = π/3 and y = π/6 :

sin(π/3) cos(π/6) = 1/2 (sin(π/2) + sin(π/6))

So the blank should be filled with cos.

Answer:

I don't know how to do please let me I will try solve the question

Answer:

If the equation is "y=3x+9", then the y-intercept would be 9, and the slope would be 3.

Step-by-step explanation:

Answer:

The slope is 3/4 and the y intercept is 9

Step-by-step explanation:

The equation is in slope intercept form

y = mx+b  where m is the slope and b is the y intercept

y = 3/4x +9

The slope is 3/4 and the y intercept is 9

Answer:

Angle of elevation = ∠4

Step-by-step explanation:

Angle of elevation of a point point from another point is the angle formed between the line joining these points and the horizontal line.

Therefore, angle of elevation of point B from a point C = ∠4

Option with angle 4 will be the answer.

Answer:

81.25%

Step-by-step explanation:

x = Pablo's money

y = Mary's money

y + 0.2x = 1.25×0.8x = x

y = 0.8x

or

x = y/0.8 = 1.25y

her money is 80% of his money, or in other words, he has 25% more money than her to begin with.

but now she gives him 20% of her money.

x + 0.2y = a × 0.8y

1.25y + 0.2y = a×0.8y

1.45y = a×0.8y

a = 1.45/0.8 = 1.8125 = 81.25%

if she gives him 20% of her money, he would then have 81.25% more money than her.

Answer:

Yes, both stores will be congruent

Step-by-step explanation:

The given coordinates of the vertices of the home improvement store are;

(-x₁, y₁), (-x₂, y₂), (-x₃, y₃) and (-x₄, y₄)

The coordinates of the vertices of the clothing store are;

(x₁, y₁), (x₂, y₂), (x₃, y₃) and (x₄, y₄)

Therefore, the coordinates of the vertices of the home improvement store, corresponds to the coordinates of the vertices of the image of the reflection of the clothing store across the sidewalk (which is the y-axis)

A reflection of (x, y) across the y-axis gives (-x, y)

Given that a reflection is a rigid transformation, the dimensions (lengths and angles between corresponding sides) of the home improvement store and the clothing store are equal, therefore, the home improvement store will be congruent to the clothing store.

Answer:  yes, because the home improvement store is a reflection of the clothing store.

Step-by-step explanation:

Imagine math!!!

Step-by-step explanation:

Hey there!

Please see attached picture for your answer!

Hope it helps!

Answer is in the attachment.

note:

make a slight change in question 1;

Answer:

y = 6x+51

Step-by-step explanation:

The slope intercept form of a line is

y = mx+b where m is the slope and b is the y intercept

y = 6x+b

Substitute the point into the equation and solve for b

3 = 6(-8)+b

3 = -48+b

3+48 = b

51 = b

y = 6x+51

Answer:

2 9/10 miles

Step-by-step explanation:

Ellis rides 29/5 miles a day, today she rode half of it, that is 29/10 miles which is equivalent to 2 9/10.