write the equaion of a line in slope-intercept form if the slope is 1/5 and the y-intercept is -9 explain please

Answer:

given m<4 = 35° and m<1 = m<2 + m<4

prove m<3 = 70°

Statements Reasons

m<4 = 35° given

m<1 = m<2 + m<4 given

m<2 = m<4 by the vertical angles theorem

35° = 35° substitution property of equality

m<2 + m<4 = m<1 angle addition postulate

35° + 35° = 70° substitution property of equality

m<3 = m<1 by the vertical angles theorem

m<3 = 70° substitution property of equality

The two column proof for the given set of angles are:

m∠2 = m∠4 by the vertical angles theorem

m∠3 = m∠1 by the vertical angles theorem

Given data:

The measure of angle

The measure of angle m∠4 =35,

The measure of angle m∠1= m∠2 + m∠4.

Now, Two straight lines that intersect at the same location are said to be intersecting lines. The junction point is the place where two intersecting lines meet. Four angles are created when two lines cross. The four angles added together always equal 360 degrees.

Perpendicular lines are two straight lines that intersect and form right angles. When two perpendicular lines intersect, they form four right angles.

When lines intersect, two angle relationships are formed:

Opposite angles are congruent

Adjacent angles are supplementary

Therefore, m∠2 = m∠4 by the vertical angles theorem

m∠3 = m∠1 by the vertical angles theorem

35° + 35° = 70° substitution property of equality

Hence, the measure of angle m∠3 = 70°

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Answer:

12/16 is the equivilant of 3/4 so it is 12 1/16's

Step-by-step explanation:

Answer:

1+1=2

have a nice day...

Answer:

2 Is the answer

Step-by-step explanation:

TJANK YOU you too!!

Answer:

the numbers are 7 and -3

Step-by-step explanation:

Answer:

7 and -3 are the numbers

Step-by-step explanation:

7-3= 4

7×-3= -21

Answer:

23 26 25

24 21 27

29 22 28

Step-by-step explanation:

23+25= 48

74-48= 26

This way find all the values.

Answer:

Victor has 18 trophies

Step-by-step explanation:

Let's set up "let statements"

Let d = Dean's trophies

Since Victor has 2 times as many trophies as Dean, we can set up a let statement for Victor like this...

Let 2d = Victor's trophies

Now we can set up an equation! Since we know Dean and Victor have 27 trophies altogether...our equation has to involve addition...

2d + d = 27

Combine like terms...(2d and d)

3d = 27

Divide 3 on both sides to isolate the variable "d"

3d ÷ 3 = d

27 ÷ 3 = 9

So...

d = 9

That means Dean has 9 trophies. But we are not done yet because we need to figure out how many trophies Victor has. Since Victor has 2 times the number of trophies as Dean we can do...

2 · 9 = 18

Therefore, Victor has 18 trophies!

Hope this helps :)

Answer:

A

Step-by-step explanation:

A

Answer:

The answer is 9

Step-by-step explanation:

[tex]21*\frac{3}{7} \\ \frac{21}{1}*\frac{3}{7} = \frac{63}{7} = 9 \\[/tex]

Answer: 0.8333

Step-by-step explanation:

answer: the inequality is 3+7(x)<24

x=x < 3 2/7

Step-by-step explanation:

because...

3 + 7x < 26

7x < 23

x < 23/7

x < 3 2/7

Answer:

More/Product is a key word to multiply so 3X7 and less is a key word to subtract so your subtracting X from 24

3x7=21 and that's 3 less than 24

The answer is 3

Step-by-step explanation:

Answer:

the slope of line is 2

Step-by-step explanation:

here

x1=0 & y1=1

x2=2 & y2=5

we know that .

the slope of line = y2-y1 / x2-x1

=5-1/2-0

=4/2

=2

Answer:A 3%

Step-by-step explanation:

Answer: it’s actually

A and B: similar

B and C: not similar

A and C: not similar

Step-by-step explanation:

the person below me was actually wrong, i know because i took the quiz ( thx a lot bro got my quiz wrong)

Answer:

Step-by-step explanation:

b

cyyducufyfrujrufvujvjvbjbk

(brainly says i need more letters so here)

7/8

Answer:

The answer would be the A (I included a picture to show you which one it is)

Step-by-step explanation:

Options D and E are out because it clearly says " bags can only carry up to 480 pound" and those are saying it can hold more than 480

Options B and C have a dashed line. If it has a dashed line that means that it is < or > and it is not because it says "up to" up to means it CAN hold exactly 480

So the only right answer would be Option A

Answer:

A

Step-by-step explanation:

Got it right off Edmentum!!

Answer:

Step-by-step explanation:

63 is the sum of 15 and Gail's score:

Here's the solution :

perimeter of equilateral triangle = 3 × x = 3x

perimeter of square = 4 × (x + 10)

now, according to above statement :

permission (square) = 3 × perimeter (triangle)

that is :

therefore, side of triangle = 8 cm

Answer:

Let the side of the equilateral triangle = x

so the side of the square =  x+10

The perimeter of the triangle = 3x

and the perimeter of the square = 4(x+10)

condition : the perimeter of the square is 3 times the perimeter of the triangle.

so, 4(x+10) =  3*(3x)

Step-by-step explanation:

Answer:

the function is odd

Step-by-step explanation:

functions that are symmetric with respect to the y axis are even functions

functions that are symmetric with respect to the origin (the 0,0 point) are odd functions (which means that if you flipped it 180 degrees it will still look the same)

have a nice day!

Answer:

Step-by-step explanation:

Identify what you are asked to find. What is the sales tax?

Choose a variable to represent it. Let t = sales tax.

Write a sentence that gives the information to find it. The sales tax is 6.5% of the purchase price.

Translate into an equation. (Remember to change the percent to a decimal).

Simplify. t = 25.48

Check: Is this answer reasonable? Yes, because the sales tax amount is less than 10% of the purchase price.

Write a complete sentence that answers the question. The sales tax is $25.48.

(b)

Identify what you are asked to find. What is the total cost of the bicycle?

Choose a variable to represent it. Let c = total cost of bicycle.

Write a sentence that gives the information to find it. The total cost is the purchase price plus the sales tax.

Translate into an equation. (Remember to change the percent to a decimal).

Simplify. c = 417.48

Check: Is this answer reasonable? Yes, because the total cost is a little more than the purchase price.

Write a complete sentence that answers the question. The total cost of the bicycle is $417.48.

Exercise  6.3.1 :

Find (a) the sales tax and (b) the total cost: Alexandra bought a television set for $724 in Boston, where the sales tax rate was 6.25% of the purchase price.

Answer a

Answer b

Exercise  6.3.2 :

Find (a) the sales tax and (b) the total cost: Kim bought a winter coat for $250 in St. Louis, where the sales tax rate was 8.2% of the purchase price.

Answer a

Answer b

Example  6.3.2 :

Evelyn bought a new smartphone for $499 plus tax. She was surprised when she got the receipt and saw that the tax was $42.42. What was the sales tax rate for this purchase?

Solution

Identify what you are asked to find. What is the sales tax rate?

Choose a variable to represent it. Let r = sales tax.

Write a sentence that gives the information to find it. What percent of the price is the sales tax?

Translate into an equation.

Divide.

499r499=42.42499(6.3.1)

Simplify r = 0.085

Check. Is this answer reasonable? Yes, because 8.5% is close to 10%. 10% of $500 is $50, which is close to $42.42.

Write a complete sentence that answers the question. The sales tax rate is 8.5%.

Exercise  6.3.3 :

Diego bought a new car for $26,525. He was surprised that the dealer then added $2,387.25. What was the sales tax rate for this purchase?

Answer

Exercise  6.3.4 :

What is the sales tax rate if a $7,594 purchase will have $569.55 of sales tax added to it?

You can use the method of calculating the percentage of an amount to find out the discount amount.

The discount price for the given condition was $205.2

Suppose the value of which a thing is expressed in percentage is "a'

Suppose the percent that considered thing is of "a" is b%

Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).

Thus, that thing in number is [tex]\dfrac{a}{100} \times b[/tex]

First we will find the marked price since the discount price was calculated on the marked price.

Since marked price was 150% of the cost price $456, thus,

[tex]\text{Marked price} = \dfrac{456}{100} \times 150 = \$684[/tex]

Thus, the marked price of the furniture was $684

Now, since the discount offered on the price was 30%, thus,

[tex]Discount = \dfrac{\text{Marked price}}{100} \times \text{Discount percent} =\dfrac{684}{100} \times 30\\\\Discount = \$205.2[/tex]

Thus,

The discount price for the given condition was $205.2

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The graph of linear function k passes through the points (-3, 0) and (1, 8) for this the true statement is given by the x-intercept of the graph of k is - 3.

As given,

Graph of the linear function k passes through the points :

(x₁ , y₁)=(-3, 0)

(x₂, y₂)=(1, 8)

Equation is given by :

(y-0)/(x+3)=(8-0)/(1+3)

⇒y=2(x+3)

⇒y=2x+6

Slope=2

X-intercept by putting y=0

x=-3

Therefore,  graph of linear function k passes through the points (-3, 0) and (1, 8) for this the true statement is given by the x-intercept of the graph of

k is - 3.

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Answer:

Area: [tex]5x[/tex], Perimeter: [tex]2x+10[/tex]

Step-by-step explanation:

a)

We know that for any rectangle the area is [tex]l*w[/tex], where [tex]l[/tex] is the length and [tex]w[/tex] is the width.

Because the width is [tex]x[/tex] and the length is [tex]5[/tex], the area is [tex]x*5[/tex] or [tex]5x[/tex].

b)

We know that for any rectangle the perimeter is [tex]2(l+w)=l+w+l+w[/tex], where [tex]l[/tex] is the length and [tex]w[/tex] is the width.

Because the width is [tex]x[/tex] and the length is [tex]5[/tex], the perimeter is [tex]2(x+5)=2x+10[/tex].

So, the answers are [tex]Area:5x,~Perimeter:2x+10[/tex]