2. Determine the value of x for which r l s if
.
m<1 = 40 - 4x; and
m<2 = 50 - 8x.
A. 1.5
B. 2
C. 30
D. 2.5

2. Determine The Value Of X For Which R L S If.m&lt;1 = 40 - 4x; Andm&lt;2 = 50 - 8x.A. 1.5 B. 2C. 30D.

Answers

Answer 1
Answer:  x = 2.5   (choice D)

Explanation:

If line r and line s are parallel, then the two angles marked must be congruent. Refer to the corresponding angles theorem for more details.

This means we'll set the angles equal to one another and solve for x.

angle1 = angle2

40-4x = 50-8x

-4x+8x = 50-40

4x = 10

x = 10/4

x = 2.5


Related Questions

According to the line plot, what is the total amount of time the students spent studying?


3 1/2 hours

10 hours

4 1/4 hours

5 1/4 hours

Answers

The total amount of time spent by the student as shown by the line plot is: D. 5 ¼ hours.

How to Find Total Amount in a Line Plot?

Each dot or x-mark represents a value. To find the total, add each of the data points given in the line plot.

Total amount of time is:

2(1/4) + 5(1/2) + 3(3/4)

= 1/2 + 5/2 + 9/4

= (2 + 10 + 9)/4

= 21/4

= 5 ¼ hours.

Total time spent by students is: D. 5 ¼ hours.

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Pa answer po thank you



Answers

Answer:

hope it helps you

Step-by-step explanation:

To make such a frequency distribution table, first, write the class intervals in one column. Next, tally the numbers in each category based on the number of times it appears. Finally, write the frequency in the final column. A frequency distribution table drawn above is called a grouped frequency distribution table.

Angelica places an 8-foot ladder against a wall. The ladder is placed so that the angle of elevation is 70°. How far up the wall, in feet, does the ladder reach? Round to the nearest hundredth.

Answers

The height of the ladder far up the wall to the nearest hundredth is 7.52 foot.

A right angle triangle is formed.

What is a right angle triangle?

A right angle triangle has one of its angles as 90 degrees. The sides and angles can be found using trigonometric ratios.

The length of the ladder is the hypotenuse side of the triangle formed.

Therefore,

sin 70 = opposite / 8

cross multiply

opposite = 8 sin 70

opposite side = 8 × 0.93969262078

opposite side = 7.51754096629

opposite side = 7.52

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Which of these ordered pairs is a solution to the linear inequality 3y – 2x ≥ 8?


(3, 1)


(1, 3)


(2, –4)


(–4, 2)

Answers

Answer:

(-4 , 2)

Step-by-step explanation:

Linear inequality:

      3y - 2x ≥ 8

The ordered point (-4 ,2) satisfies the inequality. So, (-4,2) is the solution for the equation.

3*2 - 2*(-4) ≥ 8

     6 + 8  ≥ 8

         14  ≥ 8

A cheetah runs at a speed of 58 miles for every hour. If the distance traveled, in miles, is d and time, in hours, is t, which equation shows the relationship between d and t?


t = 58 + d

d = 58 + t

t = 58d

Answers

Answer:

I dont see a correct answer but
D= 58t

How many students were surveyed?

Answers

Answer:

20

Step-by-step explanation:

count the dots

Answer:

20 students

Step-by-step explanation:

You just need to count the number of dots.

hope this helps

have a good day

Katelyn would like to have some bracelets made for her friends. A bracelet maker charges a flat rate of $4, plus $0.75 per bracelet. Katelyn has saved $29 to for the bracelets.

Please refer to the picture!!

Answers

Answer:

b=35 because 4+29=35 and that my statement for this answer so glad with the rest

Question 4:
Two equations are shown:

Equation 1:
3
4
(x−12)=12
Equation 2:
3
4
y−12=12
Solve each equation. Then, enter a number in each box to make this statement true.

The value of x is:

The value of y is:

Answers

Answer:

x = 28

y = 32

Brainliest?

18 positive integers and 13 negative integers are multiplied.

Answers

Using multiplication rules, it is found that the result of the multiplication will be a negative number.

What are multiplication rules?

When two numbers of the same signal are multiplied, the result is positive.Hence, when an even number of negative numbers are multiplied, the result is positive. If an odd number is multiplied, the result is negative.

Hence, in this problem we have that:

The result of the multiplication of the 13 negative integers is negative.The result of the multiplication of the 18 positive integers is positive.The multiplication of both results is the multiplication of a negative by a positive, hence it is negative.

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Ok Saturday a local hamburger shop sold a combined total of 234 hamburgers and cheeseburgers. The number of cheeseburgers sold was two times the number of hamburgers sold. How many hamburgers were sold on Saturday

Answers

Answer:

78 HAMBURGERS!!!

Step-by-step explanation:

LET H BE THE NUMBER OF HAMBURGERS HOLD!!!

2H IS THE NUMBER OF CHEESEBURGERS BECAUSE THERE WERE 2 TIMES AS MANY CHEESEBURGERS SOLD AS HAMBURGERS!!!

H+2H=234 | THE TOTAL NUMBER OF CHEESEBURGER AND HAMBURGER SOLD!!!

3H=234 | ADD LIKE TERMS!!

DIVIDE BOTH SIDES BY 3 | ISOLATE THE VARIABLE!!!

H=78

THAT IS YOUR ANSWER!!!

- Khan Academy Advance!!!

Answer: 78 hamburgers

Step-by-step explanation:

      Let x be the number of hamburgers sold. We will write an equation for the problem and solve.

      2x + x = 234

      3x = 234

      x  = 78

       78 hamburgers were sold on Saturday.

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x2 + 4x + 7 is a Monomial

Answers

The given polynomial x² + 4x + 7 is not a monomial it is a trinomial because there are three terms which is x², 4x, and 7.

What is polynomial?

Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.

[tex]\rm a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n[/tex]

We have given a polynomial:

x² + 4x + 7

As we know, the monomial has only one term.

The binomial has two terms.

The trinomial has three terms.

As we can see in the given polynomial there are three terms which is x², 4x, and 7.

Thus, the given polynomial x² + 4x + 7 is not a monomial it is a trinomial because there are three terms which is x², 4x, and 7.

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Sales tax in Reagan County is 7.5% on all purchases. Calculate the sales tax on the following purchase totals (round answers to the nearest cent):
(a) $25.55 (b) $155.75 (c) $256.18

Answers

Answer:

  (a) $1.92

  (b) $11.68

  (c) $19.21

Step-by-step explanation:

The tax is the product of the tax rate (7.5%) and the taxed amount.

__

(a)

  0.075 × $25.55 ≈ $1.92

(b)

  0.075 × $155.75 ≈ $11.68

(c)

  0.075 × $256.18 ≈ $19.21

_____

It is convenient to use a calculator for these values. A suitable calculator can do the rounding for you.

Select the reason why these triangles are
similar. If they are not, select "Not similar."
2.5
1
0.5
2.25
A. AA
B. SAS
C. SSS
D. Not similar

Answers

Answer:

D

Step-by-step explanation:

1/2 is not equal to 1/2.5 is not equal to 0.5/2.25.

How many terms are in this expression?
9x3+1+z

Answers

3 terms are in the expression

find the volume of a cone with a base radius of 6 cm and a height of 10 cm write in terms of pie

Answers

Answer:

Volume of the cone is 120 π cm³

Step-by-step explanation:

Given that Base radius of cone is 6 cm and height is 10 cm and we need to find volume of the cone. Volume of cone is given by:

[tex] \\ \: \: \dashrightarrow \: \: \: \underline{\boxed{\pmb{\sf{Volume_{(cone)} = \dfrac{1}{3} \pi r^2 h }}}} \\ \\ [/tex]

On Substituting the required values, we get:

[tex] \\ \: \: \dashrightarrow \: \: \sf \: Volume_{(cone)} = \frac{1}{3} \times \pi \times {(6)}^{2} \times 10 \\ \\ \\ \: \: \dashrightarrow \: \: \sf \: Volume_{(cone)} = \frac{1} {\cancel{3}} \times \pi \times \cancel{36} \times 10 \\ \\ \\ \: \: \dashrightarrow \: \: \sf \: Volume_{(cone)} = \pi \times 12 \times 10 \\ \\ \\ \: \: \dashrightarrow \: \: \sf \: \: { \purple{Volume_{(cone)} =120 \pi \: cm^3 }}\\ \\ [/tex]

Volume of a cone is 120 π cm³

Which of the following is both a natural and manmade contributor to the greenhouse effect and warming of our planet?
A. Nuclear radiation
B. Atmospheric radiation
C. Nitrogen footprint
D. Carbon cycle

Answers

Answer: the answer is D.



I hope it helps.
The answer is D. Carbon cycle

how to find area of trapezoid

Answers

The formula is a = (b1*b2)/2   .    

The original price of the bedroom set is 2850. Since they are opening a credit card, they receive 15% off. What is the new price of the bedroom set

Answers

Answer:

$2,422.50

Step-by-step explanation:

$2,850- 15% (427.5)= 2422.5

You could also multiply $2850 * 0.85= $2,422.5

If a = 11 cm, b = 29 cm, c = 15 cm, and d = 17 cm, what is the area of the poster?

Answers

Answer:

multiply them all together

1. Answer the following questions on the number given below. 12,34 761 (a) What is this number called?​

Answers

Step-by-step explanation:

one million, two hundred thirty-four thousand, seven hundred sixty-one

Find the Area and circumference of each circle below.​

Answers

Answer:

2: area is ≈153.93804 and circumfrence is ≈43.9823

3: area is ≈706.85835 and circumfrene is ≈94.24778

Step-by-step explanation:

The formula for area is A = pi r^2

for 2 you would plug 7 in for r, then square it, then multiply it by pi.

for 3 you would divide the diameter, 30, by 2 to get r (15), then square it then multiply by pi.

The formula for cirumfrence is C = 2 pi r

for 2 you would multiply 7 by 2, then multiply that by pi

for 3 you dont need to do much since the diameter (30) is already 2r. Basically all you need to do for that one is multiply 30 by pi

Find the fourth derivative of f(x) = 3x^-1 ƒ(4) (x) =​

Answers

[tex]f(x) = 3x^{-1}\\\\f'(x) = 3(-1) x^{-1-1} = -3x^{-2}\\\\f''(x) = -3(-2)x^{-2-1} = 6x^{-3}\\\\f'''(x) = 6(-3)x^{-3-1}=-18x^{-4}\\\\f''''(x) = -18(-4)x^{-4-1} = 72x^{-5}[/tex]

[tex]\text{The fourth derivative of f(x) is}~ 72x^{-5}.[/tex]

In the figure shown, which is the value of y?
(3x)
(x)⁰
(2y)°
(2y)°

Answers

Answer: y = (x/2)°

Step-by-step explanation:

The two angles are because they are opposite angles.

What is 721.56088 rounded to the nearest thousandth?

Answers

Answer:

Answer is 721.561 answer thanks

14. A unfair coin has the probability of heads

3 / 8

and the probability of tails

5 / 8

. What is the probability
of tossing three heads in a row? Of tossing two heads followed by one tail? Of tossing two heads and one
tail in any order?

Answers

Answer :

the probability of tossing three heads in a row

[tex]=\left( \frac{3}{8} \right)^{3} =\frac{27}{512} =0.052734375[/tex]

…………………………………………

the probability of tossing two heads followed by one tail

[tex]=\left( \frac{3}{8} \right)^{2} \times \left( \frac{5}{8} \right) =\frac{45}{512}[/tex]

……………………………

the probability of two heads and one tail in any order

[tex]=3\times \left( \frac{3}{8} \right)^{2} \times \left( \frac{5}{8} \right) =\frac{135}{512}[/tex]

please answer this question​

Answers

━━━━━━❃━━━━━━

Part one :

As it is given :

Present age of mom : Present age of son = 6 : 1

Therefore let :

Mother's age be 6x

Son's age be x

Part two :

Ages after 10 year :

Mom's age = 6x + 10

Son's age = x + 10

Part three :

The ages after 10 years are given in rational of 8 : 3.

Which means :

Mom's age after 10 years : Son's age after 10 years = 8 :3.

Now :

[tex] \scriptsize \purple{ \boxed{ \scriptsize \dfrac{ \text{Mom's age after 10 years}}{ \text{son's age after 10 years}}= \dfrac{8}{3} }} \star[/tex]

[tex] \\ \\ [/tex]

So :

[tex] \small\sf \dashrightarrow \dfrac{6x + 10}{x + 10} = \sf \dfrac{8}{3} [/tex]

[tex] \\ \\ [/tex]

[tex] \small\sf \dashrightarrow \dfrac{3(6x + 10)}{x + 10} = \sf \dfrac{8}{1} [/tex]

[tex] \\ \\ [/tex]

[tex]\small \sf \dashrightarrow \dfrac{18x +30}{x + 10} = \sf \dfrac{8}{1} [/tex]

[tex] \\ \\[/tex]

[tex] \small\sf \dashrightarrow \dfrac{18x +30}{1} = \sf \dfrac{8(x + 10)}{1} [/tex]

[tex] \\ \\ [/tex]

[tex]\small \sf \dashrightarrow 18x +30= \sf 8(x + 10)[/tex]

[tex] \\ \\ [/tex]

[tex] \small\sf \dashrightarrow 18x +30= \sf 8x + 80[/tex]

[tex] \\ \\ [/tex]

[tex] \small\sf \dashrightarrow 18x - 8x +30= \sf 80[/tex]

[tex] \\ \\ [/tex]

[tex]\small \sf \dashrightarrow 10x +30= \sf 80[/tex]

[tex] \\ \\ [/tex]

[tex]\small \sf \dashrightarrow 10x = \sf 80 - 30[/tex]

[tex] \\ \\ [/tex]

[tex]\small \sf \dashrightarrow 10x = \sf 50[/tex]

[tex] \\ \\ [/tex]

[tex]\small \sf \dashrightarrow \dfrac{10x}{10} = \sf \dfrac{50}{10} [/tex]

[tex] \\ \\ [/tex]

[tex]\small \sf \dashrightarrow \dfrac{1\cancel0x}{1\cancel0} = \sf \dfrac{5\cancel0}{1\cancel0} [/tex]

[tex] \\ \\ [/tex]

[tex] \small\bf \dashrightarrow x = \pink 5[/tex]

[tex] \\ [/tex]

Part four :

We know :

[tex] \footnotesize \hookrightarrow \sf Son's \: age = x[/tex]

[tex] \footnotesize \hookrightarrow \sf Son's \: age = \red{5 \: years}[/tex]

[tex] \\ \\ [/tex]

[tex] \footnotesize \hookrightarrow \sf Mother's \: age = 6x[/tex]

[tex] \footnotesize\hookrightarrow \sf Mother's \: age = 6 \times 5[/tex]

[tex] \footnotesize \hookrightarrow \sf Mother's \: age = \bf \red{30 \: years}[/tex]

━━━━━━❃━━━━━━

And all we are done ! ㋛

~[tex]\pmb{\cal W\frak{indy}M\frak{int}}[/tex]༄

How do I solve this ?

Answers

Answer:

The theoretical probability of rolling a 4 on any given roll for a six-sided die is [tex]\frac{1}{6}[/tex], The experimental probability of rolling a 4 is [tex]\frac{6}{25}[/tex].

Step-by-step explanation:

Write a​ slope-intercept equation for a line that passes through (-3,6.7) (0,6.7)

Answers

Answer:

y-6.7=0* (x+3)

Step-by-step explanation:

please help now. I will give brainly and 100 points!

Suppose a soup can has a height of 6 inches and a radius of 2 inches. In terms of π, how much material is needed to make each can?

A) 21π in²
B) 32π in²
C) 35π in²
D) 40π in²

Answers

Answer:

Volume in terms of pi is 24

Step-by-step explanation:

formula for volume is pi x radius squared x height

3.14 x [tex]2^{2}[/tex] x 6=

75.36 then divide by pi

75.36/3.14=24pi in[tex]^{2}[/tex]

Help me again please!

Answers

A. The word mean is the same as saying average. To find the average/mean add all the numbers together and then divide by the amount of numbers. For example, if your numbers were 2, 6, and 7. You would do 2+6+7=15. Then 15 divided by 3 is 5. The mean of those numbers is 5.

B. The median is the middle number. Put the numbers in a list from least to greatest and then find the one in the middle. For example, if your numbers were 1, 2, 3, 4, 5, 6,  the median would be 3.

C. The mode is the most frequent number. Count how many of each number appears in the list, the one with the most is the mode. For example, if your numbers were 1, 1, 3, 8, 2, 1, the number 1 would be the mode because it appears the most frequently.

D. The range is the smallest number and the largest number. If your numbers were 2, 12, 46, and 9, the range would be 2-46 or 2 to 46.

I hope this helps you, let me know if you have any questions or would like another example! :)

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