Given: f(x)
=
x - 2
x+8

∠6 and ∠5 are alternative interior angle thus the measure of angles ∠5 = 45° , ∠6 = 45° ,∠7 = 45° and ∠8 = 135°.

An angle is a geometry in plane geometry that is created by 2 rays or lines that have an identical terminus.

The identical endpoint of the two rays—known as the vertex—is referenced as an angle's sides.

Angles 1,2,7 are the interior angles of a triangle and we know that the sum of all interior angles inside a triangle is 180°.

Therefore, ∠1 + ∠2 + ∠7 = 180°

Given, ∠1  = 70° and  ∠2  = 65°

∠7 = 180° - (70 + 65) = 45°

Now, ∠8 = 180 - ∠7 ⇒ ∠8 = 135°

Now, ∠7 = ∠6 (vertical opposite angle) so ∠6 = 45°

∠6 = ∠5 (alternative interior angle) so ∠5 = 45°

Hence "∠6 and ∠5 are alternative interior angle thus the measure of angles ∠5 = 45° , ∠6 = 45° ,∠7 = 45° and ∠8 = 135°".

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y intercept of the function f (x) = -2/9x + 1/3

is

\( \frac{1}{3} \)

OPTION C

Answer:

1.728 m^3

Step-by-step explanation:

120 cm = 1.20 m

V = 1.20^ 3 = 1.728 m^3

Answer:

\(\huge\boxed{\sf Volume = 1.728 \ m\³}\)

Step-by-step explanation:

Length = l = 120 cm = 1.2 m

We know that,

Volume = 1.2³

Volume = 1.728 m³

\(\rule[225]{225}{2}\)

Answer:

No.

Step-by-step explanation:

10 times is not as much as 9 times.

Answer:

190 in²

Step-by-step explanation:

Cut the shape into simpler ones:

A=6 x 6= 36 in²

A=7x22= 154 in²

A=36 + 154= 190 in²

Answer:

s=-7/9

Step-by-step explanation:

-9s+12-12=-18s-3-4

-9s=-18s-7

9s=-7

s=-7/9

(if I understood the question correctly)

Answer:

m = 0/-1 or 0 (horizontal slope)

Step-by-step explanation:

Given points (-17, 12) and (-18, 12):

Let  x1 = -17

x2 = -18

y1 = 12

y2 = 12

We can use the following slope formula:

\(m = \frac{y2 - y1}{x2 - x1} = \frac{12 - 12}{-18 - 17} = \frac{0}{-1} = 0\)

Since the slope, m = 0, then it is a horizontal slope.

Answer:

y=-2x-6

Step-by-step explanation:

Answer: No it may not always apply on some cases but it still may whenever you are using a standard number line.

Answer:

186.3 quarts of punch

Step-by-step explanation:

175+11.3=186.3

it asks how much did she make in total so you would need to add the 2 together to get the total

The measure of angle ADC in the geometric system is equal to 55°.

In this question we find a geometric system formed by a quadrilateral and an angle vertical to a vertex of the quadrilateral. Angle CDE is supplementary to angles EDF and ADC. Two angles are supplementary whose sum of measures equals 180°. Therefore:

m ∠ CDE + m ∠ EDF = 180°

(2 · x + 1) + (x - 7) = 180°

3 · x - 6 = 180°

3 · x = 186°

x = 62

m ∠ CDE = 2 · x + 1

m ∠ CDE = 2 · 62 + 1

m ∠ CDE = 125°

m ∠ ADC = 180° - 125°

m ∠ ADC = 55°

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The degree of the polynomial is 14

The polynomial is given as:

y^2+7x^14-10x^2

Here, we assume that the variable of the polynomial is x

The highest power of x in the polynomial y^2+7x^14-10x^2 is 14

Hence, the degree of the polynomial is 14

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Answer:

The grapefruit is 18% heavier than the apple.

Step-by-step explanation:

Orange defines the 100% in this situation.

We know that grapefruit is 8% heavier than an orange, so the weight of a grapefruit   (in percentage)  will be: 100% + 8% = 108%

And an apple is 10% lighter than the orange, then the weight (in percentage) of the apple will be: 100% - 10% = 90%

The difference between the two weights is then:

grapefruit - apple

108% - 90% = 18%

So the grapefruit is 18% heavier than the apple.

The equivalent expression to 0 equals 2 x squared plus 8 x minus 24 when completing the square is x = 2 or x = -6

0 = 2x² + 8x - 24

divide through by 2

x² + 4x - 12

x² + 4x = 12

x² + 4x + (4/2)² = 12 + (4/2)²

x² + 4x + 16/4 = 12 + 16/4

x² + 4x + 4 = 12 + 4

x² + 4x + 4 = 16

(x + 2)² = 16

Find the square root of both sides

(x + 2) = ±√16

x + 2 = ± 4

x + 2 = + 4 or x + 2 = -4

x = 4 - 2 or x = -4 - 2

x = 2 or x = -6

Therefore, x = 2 or x = -6 is equivalent to 0 = 2x² + 8x - 24 when solved using completing the square method.

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Answer:

The correct answer is B

Step-by-step explanation:

Kinda complicated to explain, if you need me to then comment and I'll do it

The appropriate journal entries to record the transactions are: Debit Accounts Payable/Starcraft Industries $560; Credit Purchases Returns and Allowances $560.

Jul. 7

Debit Accounts Payable/Starcraft Industries $560

Credit Purchases Returns and Allowances $560

Jul. 15

Debit  Accounts Payable/ XYZ, Inc.            $400

Credit Purchases returns and allowances  $400

Jul 27  

Debit  Accounts Payable/ Datamagic          $900

Credit Purchases returns and allowances  $900

Therefore the entries to record the transactions are: Debit Accounts Payable/Starcraft Industries $560; Credit Purchases Returns and Allowances $560.

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The annual interest is $22.

Simple interest is a method of calculating the interest charge. Simple interest can be calculated as the product of principal amount, rate and time period.

Simple Interest = (Principal × Rate × Time) / 100

Given;

Amount invested= $550

Annual interest= 4%

SI= 550*4*1/100

=5.5*4

=22

Therefore, the simple interest will be $22.

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The measure of the angle B of the triangle is 78.15 degrees

From the question, we have the following parameters that can be used in our computation:

A = 25 degrees

a = 9.5 units

b = 22 units

Using the law of sines, the angle B is calculated as

sin(A)/a = sin(B)/b

So, we have

sin(25)/9.5= sin(b)/22

This gives

sin(b) = 22 * sin(25)/9.5

Evaluate

sin(b) = 0.9787

Take the arc sin of both sides

b = 78.15

Hence, the measure of the angle is 78.15 degrees

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Answer:

Step-by-step explanation:

Let number of hours be x

Lakeshore paddle cost:

Lake paddle cost:

Required inequality:

Lakeshore paddle costs less when time of rent is greater than 2 hours

Answer:

OK so he gets 3000 a year

so 3000t is what we need. thats 3000 times the number of years.

His starting salary is 41250, so we would add that on.  

K = 3000t + 41250.

Step-by-step explanation:

Answer:

Unsure but it might be -8/3

Step-by-step explanation:

Answer:

Step-by-step explanation:

The factors of the factored form of the equation for the quadratic can be found by reading the x-intercept from the graph. The vertex form can be found by reading the coordinates of the vertex. The leading coefficient can be found any of several ways.

__

The graph crosses the x-axis at x=0 and x=4. For x-intercept 'p', (x -p) is a factor. The leading coefficient can be found by matching the function value to a point on the graph somewhere other than at an x- or y-intercept.

If we choose to match the value at x=2, we must have f(2) = -8.

  f(2) = a(x)(x -4) = a(2)(2 -4) = -8

  -4a = -8 . . . . simplify

  a = 2 . . . . . divide by -4

The factored form is ...

  f(x) = 2(x)(x -4)

__

We can read the vertex from the graph as (2, -8). We note that 1 unit either side of the vertex, the graph rises 2 units, to (1, -6) and (3, -6). This tells us the leading coefficient is a=+2.

The vertex form equation is ...

  f(x) = a(x -h)² +k

where the vertex is (h, k) and 'a' is the leading coefficient. For the values we read from the graph, the vertex-form equation is ...

  f(x) = 2(x -2)² +(-8)

The percentage of buyers is approximately 68.26% of buyers of new houses paid between \($149,000\) and \($151,000\) .

We are given that the prices of the new homes are normally distributed with a mean of \($150,000\) and a standard deviation of $1000.

Using the 68-95-99.7 rule, we know that: approximately 68% of the data falls within one standard deviation of the mean approximately 95% of the data falls within two standard deviations of the mean, approximately 99.7% of the data falls within three standard deviations of the mean.

In order to determine the proportion of customers who spent between $149,000 and , we must first determine the z-scores for these values:

z1 = (149,000 - 150,000) / 1000 = -1 z2 = (151,000 - 150,000) / 1000 = 1

Now, we can determine the proportion of data that falls between z1 and z2 using the z-table or a calculator. The region to the left of z1 is 0.1587, and the area to the left of z2 is 0.8413, according to the z-table. Thus, the region bounded by z1 and z2 is:

0.8413 - 0.1587 = 0.6826

We can get the percentage of consumers who spent between by multiplying this by 100% is  \($149,000\)  and \($151,000\):

0.6826 x 100% = 68.26%

Therefore, the standard deviation of customers who paid between is \($149,000\) and \($151,000\)  for this model of new homes.

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Answer:

6x+24

Step-by-step explanation:

I think please don’t count on this Answer ask your teacher if it’s right and have a good day :)

Answer:

the answer is 6x+24

Answer: B. 24 - 24 x r = 4.32

Step-by-step explanation:

The percent tip can be found by using the formula: tip = bill x (tip percentage in decimal form)

In this case, Diego's bill was $24 and the tip he paid was $4.32. To find the tip percentage, we can divide the tip by the bill:

tip / bill = 4.32 / 24 = 0.18

To convert the decimal to a percentage, we can multiply the decimal by 100: 0.18 x 100 = 18%

The tip percentage is 18%

So, option B. 24 - 24 x r = 4.32 is the equation that will help find the percent tip that Diego gave the server.

Answer:

(-4 + x)/2 = 6

-4+x/2 = 6

+4         +4

x/2 = 10

*2      *2

x = 20

Step-by-step explanation:

(-4 + x)/2 = 6

-4+x/2 = 6

+4         +4

x/2 = 10

*2      *2

x = 20

The per capita emissions for each country is:

Using this formula to find the  Per capita emissions for each country

Per capita emissions = C02 Emission (tons of carbon dioxide ) /  Total emissions by population

China

Per capita emissions =8,782,000,000/1,359,750,000

Per capita emissions = 6.46

United States

Per capita emissions =5,144,000,000/316,597,000

Per capita emissions= 16.25

India

Per capita emissions = 2,185,000,000 /1,233,460,000

Per capita emissions = 1.77

Russia

Per capita emissions=1,646,000,000/143,400,000

Per capita emissions = 11.48

Japan

Per capita emissions = 1,232,000,000/127,310,000

Per capita emissions = 9.68

Germany

Per capita emissions = 733,000,000/80,523,700

Per capita emissions = 9.10

Iran

Per capita emissions = 583,000,000/76,876,000

Per capita emissions = 7.58

South Korea

Per capita emissions = 576,000,000/50,219,669

Per capita emissions = 11.47

Indonesia

Per capita emissions = 535,000,000/237,641,326

Per capita emissions = 2.25

Canada

Per capita emissions = 528,000,000/35,141,542

Per capita emissions =15.02

Therefore China per capita emissions is 6.46.

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Answer:

a

Step-by-step explanation:

the perimeter (P) of a square is the sum of the 4 congruent sides.

the area of a square is calculated as

area = s² ( s is the length of a side )

here area is 36 , then

s² = 36 ( take square root of both sides )

s = \(\sqrt{36}\) = 6

then

P = 4s = 4 × 6 = 24 cm

Answer:

29

Step-by-step explanation:

The equation y - 5 = (4/3)(x - 6) can be written in point-intercept form as y = (4/3)x - 3, where the slope is 4/3 and the y-intercept is -3.

The point-slope form of a line is y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line. The point-slope form of a line can be converted to the slope-intercept form of a line, y = mx + b, where b is the y-intercept.

The equation y - 5 = (4/3)(x - 6) can be rearranged into the point-slope form of a line by isolating the y-term and simplifying: y - 5 = (4/3)(x - 6)y - 5 = (4/3)x - 8y = (4/3)x - 3

Now, we have the point-slope form of the line with slope 4/3 and y-intercept -3.

To convert this to the slope-intercept form of a line, we simply rearrange the equation to solve for y:y = (4/3)x - 3 This is the slope-intercept form of the line, where the slope is 4/3 and the y-intercept is -3.

Thus, the equation y - 5 = (4/3)(x - 6) can be written in point-intercept form as y = (4/3)x - 3, where the slope is 4/3 and the y-intercept is -3.

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