∠1 and ∠2 are supplementary. If m∠1 = (3x - 17)° and m∠2 = (5x + 21)°. Find the value of x.

Answer:

b)  -185/18

Slope of the line   [tex]m = \frac{-185}{18}[/tex]

Step-by-step explanation:

Explanation:-

Given two co-ordinates are

[tex](\frac{10}{17} , \frac{2}{17} ),(\frac{9}{17} , \frac{13}{18} )[/tex]

Slope of the line

                 [tex]m = \frac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex]

                [tex]m = \frac{13/18 - 2/17 }{9/17 - 10/17 }[/tex]

                [tex]m = \frac{\frac{221-36}{18 X 17} }{\frac{-1}{17} }[/tex]

On simplification, we get

              [tex]m = \frac{-185}{18}[/tex]

Answer:

r = 2

Step-by-step explanation:

Calculate slope m using the slope formula and equate to [tex]\frac{3}{4}[/tex]

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 11, r) and (x₂, y₂ ) = (- 7, 5)

m = [tex]\frac{5-r}{-7+11}[/tex] = [tex]\frac{5-r}{4}[/tex] = [tex]\frac{3}{4}[/tex] ( multiply both sides by 4 to clear the fractions )

5 - r = 3 ( subtract 5 from both sides )

- r = - 2 ( multiply both sides by - 1 )

r = 2

Answer:

the answer is 32

Step-by-step explanation:

8 x 4 = 32

tip: division is backwards multiplication with different signs

hope this helps :)

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Answer:

-3 +7 > -10 - 2

Step-by-step explanation:

Given

-3 +7_-10 - 2

Required

Compare using any of the given inequality symbols

We start by solving both sides of the inequality

- 3 + 7 _  -10 -  2

(-3 + 7) _ (-10 - 2)

(4) _ (-12)

Having solved both sides of the inequality, it'll be observed that 4 (on the left hand side) is greater than -12 (on the right hand side);

Hence, the _ symbol can be replaced by the greater than symbol.

(4) _ (-12) can then be rewritten as

(4) > (-12) or

- 3 + 7 > -10 - 2

From the list of given options, option B is correct

Answer:

A) 144 FT B) 300

Step-by-step explanation:

{ Area= L x W

 Area= 12 x 12

 Area= 144 }

{ 6x2=12

12x25= $300

Answer: $9.20

Step-by-step explanation:

Divide the full tax price by the sales tax (7% or .07) plus 1 (always add 1 to the tax) thus

$147.66 / 1.07 = $138.00

So $138.00 is the full price without tax.

Now divide $138.00 by the amount of tickets (15) to find a single ticket price before tax!

138.00/15 = $9.20

Remember to always add 1 to the tax percentage above when dividing to get the *pre-tax* price.

Answer: 39/44

Step-by-step explanation:

3 1/4 = 13/4

13/4 times 3/100 = 13 times 3/4 times 11 which equals 39/44

The value of multiplication improper fraction 3/11 and mixed number 3 1/4 is 39/44.

To calculate the product of 3/11 and 3 1/4, we need to convert the mixed number 3 1/4 into an improper fraction.

To convert the mixed number 3 1/4 to an improper fraction, we multiply the whole number (3) by the denominator (4) and add the numerator (1). The result becomes the new numerator, and the denominator remains the same.

3 1/4

= (3 x 4 + 1) / 4

= 13/4

Now we can multiply 3/11 by 13/4:

(3/11) x (13/4)

= (3 x 13) / (11 x 4)

= 39/44

Therefore, the product of 3/11 and 3 1/4 is 39/44.

To learn more about the fractions;

https://brainly.com/question/10354322

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The answer to this problem is 120

Answer:

its b.

Step-by-step explanation:

Answer:

x = -5/7

Step-by-step explanation:

8/(x+3)=1/(x+1)

Using cross products

8*(x+1) = 1*(x+3)

Distribute

8x+8 = x+3

Subtract x from each side

8x-x +8 = x+3-x

7x +8 =3

Subtract 8 from each side

7x+8-8 = 3-8

7x = -5

Divide by 7

7x/7 = -5/7

x = -5/7

Answer:

The correct choice is A

Step-by-step explanation:

the definition of inverse is the opposite of something or different in direction so that would mean they want you to switch what they gave you so that would mean the answer is choice A

Answer:

x=5

Step-by-step explanation:

-3x+7=-8

Bring 7 to the other side, it becomes negative

-3x=-8-7

Signs are same on rhs so u add

-3x = -8+-7= -15

Bring -3 to the other side n divide

therefore,

x=-15/-3

= +5 (two negatives become positive)

Hope it helps!

Answer:

x = 5

Step-by-step explanation:

→Subtract 7 from both sides:

-3x + 7 = -8

-3x = -15

→Divide both sides by -3:

x = 5

Answer: multiplying both-side of the equation by 3 substituting 36 for p to check the solution

Step-by-step explanation: Help I help

Answer:

y ≤ -1/3x +1

Step-by-step explanation:

We have a solid line so the inequality has an equals sign.

The graph is shaded underneath so y is less than or equal to

y ≤ -1/3x +1

Answer:

Y<-1/3x+1

Step-by-step explanation:

The line passing through the points is highlighted making it equal to and what makes it less than is that it's shaded on the lower side of the line

Answer:

36 km

Step-by-step explanation:

By dividing 45 by 60 you make it into .75 per minute therefore by multiplying by 48 you get your answer which is 36 km

Answer:

36 km

Step-by-step explanation:

We are given a speed in km per hour. Since 1 hour = 60 minutes, we can find the speed in km per minute.

45 kph = 45 km/hour = 45 km/(60 minutes) = 0.75 km/minute

Now that we know the speed in km per minute, we multiply the speed by 48 minutes to find the distance traveled in 48 minutes.

0.75 km/minute * 48 minutes = 36 km

Answer:

C) 56 deg

Step-by-step explanation:

The 28-degree angle shown is adjacent to an angle. Let's call that other angle y. y and the 28-deg angle add up to a right angle. That makes these two angles complementary. Their measures add to 90 deg.

28 + y = 90

y = 62 deg

The two marks on the sides of the upper triangle show that they are congruent, making the upper triangle isosceles. The angles opposite the congruent sides of a triangle are congruent. The upper angle on the left side of the upper triangle also measures 62 degrees.

The sum of the measures of the angles of a triangle is 180 deg.

62 + 62 + x = 180

124 + x = 180

x = 56

Answer: C. 56 deg

Answer:

A

Step-by-step explanation:

V=5^(3)+20*5*5

V=125+500

V=625 in^3

Answer:

it is c

Step-by-step explanation:

Answer: Sin 23 = 2/5

Step-by-step explanation:

If cos 67 degrees is close to 2/5. That is, approximately,

Cos 67 = 2/5

Multiply the numerator and the denominator by 50

Cos 67 = 100/250

From trigonometry ratio,

Cos Ø = adjacent/hypothenus

Where the

Adjacent length = 100 cm

Hypothenus length = 250 cm

Po = opposite length = 100cm

If the degree = 23

The closest length will be

Sin Ø = Opposite/ hypothenus

Sin 23 = 100/250

Divide both the numerator and the denominator by 50

Sin 23 = 2/5

Answer:

40 cm

Step-by-step explanation:

Answer:

coefficient is x

Step-by-step explanation:

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Answer:

22

Step-by-step explanation:

5(5) -3

25-3

22

Answer:

the answer is 22.

Step-by-step explanation:

Answer:

percentage error = 12.28%

Step-by-step explanation:

5 x 0.14 = 0.7

5 x 1.14 = 5.7

as increase is not the same as error decrease.

We use the same numbers 12.28% = 0.1228.

5.7 x 0.1228 = 0.69996  = 12.28%

5.7 - 0.69996 = 5.00004 foot.  As decrease.

And find it is correct.

His error therefore was 12.28% out.

As we work the first numbers 5.7 and can only x by a number to see 5ft

We take 5.7 x 0.1228 and find 0.69996 when taken from 5.7 ft. is unmistakably 5 foot.  (5.00004) ft.

Answer:

14%

Step-by-step explanation:

percent error = (experimental measure - real measure)/(real measure) * 100%

percent error = (5.7 ft - 5 ft)/(5 ft) * 100%

percent error = (0.7 ft)/(5 ft) * 100%

percent error = 0.14 * 100%

percent error = 14%

Answer:

16.8

Step-by-step explanation:

If 4.2 is 25% of a number:

25% x 4 = 100%

4.2 x 4 = 16.8

Answer:

15%

coz thats the ans

Answer:

The new punch is 62.5% juice.

Step-by-step explanation:

First we find how many cups of juice are in the punch. To do this we take 75% of 20, which is 15. We can confirm 15 is correct by doing 15 / 20 = 0.75, or 75%

Next we add four cups of water, bringing our total amount of cups to 24. We doing the last equation from above except with 24 cups instead of 20.

15 / 24 = 0.625, or 62.5%

Answer:

fourth picture

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Solving for 1995, which is 5 years after 1990, so plug in 5 as t.

n= 1.76(5)² - 13.32(5) + 41

n= 44 - 66.6 + 41

n= 18.4

n≈ 18 days

Answer:

4xy(10y - 9x).

Step-by-step explanation:

40xy2 − 36x2y

The Greatest Common Factor (GCF) of 40 and 36 is 4.

GCF of x and x^2 is x,

GCF of y^2 and t is y.

So GCF = 4xy.

and  the factors are:

4xy(10y - 9x).

[tex]answer \\ = 2x - 2 \\ solution \\ given \: data = x + 1 ,\: 3x - 2 ,\: 2x - 5 \\ n(total \: number \: of \: items) = 3 \\ we \: have \: to \: find \: mean \: of \: the \: given \\ data \\ mean = \frac{x + 1 + 3x - 2 + 2x - 5}{3} \\ \: \: \: \: \: \: \: = \frac{x + 2x + 3x + 1 - 2 - 5}{3} \\ \: \: \: \: \: \: = \frac{6x - 1 - 5}{3} \\ \: \: \: \: = \frac{6x - 6}{3} \\ \: \: \: \: = 2x - 2 \\ hope \: it \: helps[/tex]