Are these triangles similar?
Known angles in Triangle 1: 40º, 60º
Known angles in triangle 2: 80º, 40º

Answer:

JL=22x-6

Step-by-step explanation:

We have JK=KL

Answer:

2.25 np

Step-by-step explanation:

Cost of one foot lace is $2.25

Cost of one foot lace = $3

Cost of 3/4 foot lace

Cost of 3/4 foot lace = [3/4][Cost of one foot lace]

Cost of one foot lace = [3/4][3]

Cost of one foot lace = 9/4

Cost of one foot lace = $2.25

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Answer:

the slope is 5/4

Step-by-step explanation:

use the formula y2 - y1 over x2 - x1, and plug in the coordinates into that

The slope of the line whose points are (1, 4) and (5, 9) will be 1.25.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

The slope of the line is given as,

m = (y₂ - y₁) / (x₂ - x₁)

The points are given below.

(1, 4) and (5, 9)

The slope of the line is given as,

m = (9 - 4) / (5 - 1)

m = 5/4

m = 1.25

The slope of the line whose points are (1, 4) and (5, 9) will be 1.25.

More about the linear equation link is given below.

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Answer:

15

Step-by-step explanation:

Have a nice Day , Hope this helped you I would appreciate it if you could mark my answer brainliest

Answer:

±12.323

Step-by-step explanation:

A study by the department of education of a certain state was trying to determine the mean SAT scores of the graduating high school seniors. The study examined the scores of a random sample of 238 graduating seniors and found the mean score to be 493 with a standard deviation of 97. Calculate the margin of error using the given formula. How could the results of the survey be made more accurate?

The formula for margin of Error =

±z × Standard deviation/√n

We are not given the confidence interval but let us assume the confidence interval = 95%

Hence:

z score for 95% confidence interval = 1.96

Standard deviation = 97

n = random number of samples = 238

Margin of Error = ± 1.96 × 97/√238

Margin of Error = ±12.323

The margin of error using the given formula will be ±12.323.

An error is a mistaken or erroneous action. In some contexts, an error is interchangeable with a mistake.

The discrepancy between the calculated value and the correct value is referred to as an "error" in statistics.

Given data;

Confidence interval = 95%

z score for 95% confidence interval = 1.96

Standard deviation = 97

n is a random number of samples = 238

The margin of Error is found as;

E =±z × Standard deviation/√n

[tex]\rm E= +z \times \frac{\sigma}{\sqrt{n} }[/tex]

[tex]\rm E=\±1.96 \times \frac{97}{\sqrt{238} }\\\\ E=\±12.323 \[/tex]

Hence,the margin of error using the given formula will be ±12.323.

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Answer:

5,6,7

Step-by-step explanation:

consetive integers are 1 apart

they are

x,x+1,x+2

3 times the first added to the last is 22

3x+x+2=22

combine like terms

4x+2=22

minus 2 both sides

4x=20

divide both sides by 4

x=5

x+1=6

x+2=7

the numbers are 5,6,7

Answer:

5,6,7

Step-by-step explanation:

hope this helps :)

Answer:

number 4 : m= -2

Step-by-step explanation

Answer:

[tex]\frac{y}{-3.6}[/tex] < 6.5

Answer:

Chris will receive 4 euros

Answer:

12

Step-by-step explanation:

Answer:

0.18(0.05x + 0.07y) = t

explanation:

Trust me

Answer:

Assuming the question is asking for angle B, it measures 23°

Step-by-step explanation:

If angle A = 67°, and angle A and angle B are complementary, then you know they add up to 90°.

angle A + angle B = 90°

67° + Angle B = 90°

Angle B = 23°

Answer:

68

Step-by-step explanation:

right on khan

Answer:

the equation is 10 + -3x = y

Answer:

26.

Step-by-step explanation:

1 day/24 hours, makes 4 revolutions.

4 x 6 = 24,

1/2 of 4 = 2.

24+2 = 26.

26 revolutions, if my answer is wrong someone please correct me.

Answer:

$90

Step-by-step explanation:

Given that:

Number of mobile phones = 450

Cost per mobile phone = $30

Number of mobile phones purchased = 3

The total cost of 3 mobile phones = amount paid remaining :

(Cost per mobile phone * number of mobile phones purchased)

= $30 * 3

= $90

Answer:

4

Step-by-step explanation:

3y=12  divide both sides by 3

y=4

Answer:

y = 4

Step-by-step explanation:

12 = 3(4)

12 = 12

Answer:

Step-by-step explanation:

Let the price of DVDS = x

The price of movie tickets = y

The total price of five DVDs (all the same cost) and four movie tickets (all the same cost) is $138,

= 5x + 4y = $138

The total price of two DVDs and five movie tickets is $96.

2x + 5y = $96

Hence:

5x + 4y = $138.... Equation 1

2x + 5y = $96..... Equation 2

What is the price of one movie ticket?

Elimination method

2y = 204

y = 204/2

y = 102

Answer:

n = 24

Step-by-step explanation:

(4/12)*72 = n

24 = n

Answer:

24 = (9 * 6) - (15 + 15)

Step-by-step explanation:

Equation = (9 * 6) - (15 + 15)

Follow PEMDAS which in this case multiply 9 x 6

= 54 - (15+15)

Now you need to add the numbers that are in the parenthesis

= 54 - 30

= 24

Hope this helps!

Answer:

The data is missing, However the answer is given below

Step-by-step explanation:

The data is missing about the runners and the duration minutes taken to complete the race, However the answer is given below

(3 * 4) + (8 * 3)

12 + 24

36 silver medals would have been awarded to runners.

The data is missing for the runners of the race and the time they took to complete the race, silver medal is awarded for runners who completed race in 37 to 38 minutes.

Answer:

A.

Step-by-step explanation:

Answer:

11/12

Step-by-step explanation:

find the lcm of 12 and 3 which is 12.

find a common factor in 12 and 3 and use those factors to multiply with their numerators.

7 * 1 and 1*4 =11

while the denominator or the lcm is 12

thus 11/12

Answer:

Step-by-step explanation:

SYSTEM:

log base root3 of (x-y) = 2 .... 1

log base 4 of x - log base x of y =7/6...2

From equation 1:

x-y = (√3)²

x - y = 3 ..... 3

From equation 2:

log base 4 of x - log base x of y =7/6

-log base x of 4 - log base x of y = 7/6

log base x of 4^-1 - log base x of y = 7/6

log base x of (1/4) - log base x of y = 7/6

According to law of logarithm

Log base x {1/4 ÷ y} = 7/6

x^7/6 = 1/4y .... 2

From 1, y = x-3

x^7/6 =1/4(x-3)

x^7/6 = 1/(4x-12)

x^7/6(4x-12) = 1

From

Answer: 234,253.50

Work: I did 22 to the power of 4 first and I got 234256. I subtracted 2 which is 234254, and than took 1/2. So, the answer is 234253.50.

Answer:

We conclude that the value of the constant of proportionality.

Step-by-step explanation:

We know that if 'y' varies directly with 'x', we use the equation

y ∝ x

y = kx

where 'k' is called the constant of proportionality.

Given the equation

y = 14x

comparing with the equation

y = kx

Thus,

k = 14

Therefore, we conclude that the value of the constant of proportionality.

Answer:

option 4

Step-by-step explanation:

put like terms on either side

9x + 2a = 3a - 4x

subtract both sides by 2a

9x = a - 4x

add both sides by 4x

13x = a

divide both sides by 13

x = a/13

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Answer:

4.) a/13

Step-by-step explanation:

9x + 2a = 3a - 4x

9x + 4x = 3a - 2a

13x = a

13x/13 = a/13

x = a/13

Answer:

(10, -2)

Step-by-step explanation:

x = 10 (its given in the problem)

then plug in 10 for x in the second equation and solve for y

3(10) + 5y = 20

30 + 5y = 20

5y = -10

y = -2

so the solution is (10, -2)