Answer:
Δ JKL is similar to Δ ABC ⇒ D
Step-by-step explanation:
Similar triangles have equal angles in measures
In ΔABC
∵ m∠A = 15°
∵ m∠B = 120
∵ The sum of the measures of the interior angles of a Δ is 180°
∴ m∠A + m∠B + m∠C = 180°
→ Substitute the measures of ∠A and ∠B
∵ 15 + 120 + m∠C = 180
→ Add the like terms in the left side
∴ 135 + m∠C = 180
→ Subtract 135 from both sides
∴ 135 - 135 + m∠C = 180 - 135
∴ m∠C = 45°
The similar Δ to ΔABC must have the same measures of angles
If triangles ABC and JKL are similar, then
m∠A must equal m∠J
m∠B must equal m∠K
m∠C must equal m∠L
∵ m∠J = 15°
∴ m∠A = m∠J
∵ m∠L = 45°
∴ m∠C = m∠L
∵ m∠J + m∠K + m∠L = 180°
→ Substitute the measures of ∠J and ∠L
∵ 15 + m∠K + 45 = 180
→ Add the like terms in the left side
∴ 60 + m∠K = 180
→ Subtract 60 from both sides
∴ 60 - 60 + m∠K = 180 - 60
∴ m∠K = 120°
∴ m∠B = m∠K
∴ Δ JKL is similar to Δ ABC
what is the perimeter of the cafe pls answer fast
The perimeter of the cafe is calculated to be equal to 190 feet.
What is the perimeter of a plane shapeA plane shape is a two dimensional figure and its perimeter is the total distance around its outer boundary. It is the sum of the lengths of all its sides.
By careful observation, the cafe have the following lengths at:
left side = 15 + 7 + 16 = 38ft
right side = 3 + 15 + 28 = 46ft
top side = 40 + 3 + 15 = 58ft
bottom side = 48ft
The perimeter of the cafe = 38ft + 46ft + 58ft + 48ft
The perimeter of the cafe = 190 ft.
Therefore, the perimeter of the cafe is calculated to be equal to 190 feet.
Read more about perimeter here:https://brainly.com/question/15813936
#SPJ1
During the 1920s, buying stock on credit was called buying on speculation. buying on a gamble. buying on margin. buying on margin call.
During the 1920s, buying stock on credit was called buying on margin or margin trading. Hence, option C is correct.
What is a margin trading?An act of buying shares or securities of a company without the actual need of having funds in the account, is known as margin trading. A credit facility is granted by the broker to the trader to do margin trading.
In case the trader generates a profit while buying on margin, he or she would get only an amount of the profit made by him or her over such trade. In case of losses, the balance amount became the liability of the trader.
Hence, option C states about margin trading.
Learn more about margin trading here:
https://brainly.com/question/23130387
#SPJ2
Please take your time and answer the question. Thank
you!
8. If cos x = -12/13 and x is in quadrant III, find sin ) b. cos (2x)
In quadrant III, sin x = -5/13 and cos (2x) = 119/169.
Given cos x = -12/13 in quadrant III, find sin x and cos (2x).To solve the given problem, we are given that cos(x) = -12/13 and x is in quadrant III. We need to find the value of sin(x) and cos(2x).
Since x is in quadrant III, both sin(x) and cos(x) will be negative. Using the Pythagorean identity sin²(x) + cos²(x) = 1, we can solve for sin(x) as follows:
sin²(x) = 1 - cos²(x)
sin²(x) = 1 - (-12/13)²
sin²(x) = 1 - 144/169
sin²(x) = (169 - 144)/169
sin²(x) = 25/169
Taking the square root of both sides, we get:
sin(x) = ±√(25/169)
sin(x) = ±(5/13)
Since x is in quadrant III where sin(x) is negative, we have:
sin(x) = -5/13
To find cos(2x), we can use the double-angle formula for cosine:
cos(2x) = cos²(x) - sin²(x)
cos(2x) = (-12/13)² - (-5/13)²
cos(2x) = 144/169 - 25/169
cos(2x) = 119/169
Therefore, sin(x) = -5/13 and cos(2x) = 119/169.
Learn more about quadrant III
brainly.com/question/29298581
#SPJ11
(2x + 3) + (3x + 5) need asap
Answer:
5x + 8
Step-by-step explanation:
2x+3+3x+5
2x+8+3x
And, thus 5x + 8 is the answer.
sorry if i get it wrong.......
Simplify the expression below.
50 - 2(32 + 1)
Answer:
\( = { \tt{50 - 2(32 + 1)}}\)
Solve the bracket:
\( = { \tt{50 - 2(33)}}\)
Open the bracket:
\({ \tt{ = 50 - 66}}\)
Subtract the expression:
\({ \bf{ = - 16}}\)
Step-by-step explanation:
Multiply 2 by 32 and 1
50-64-2
-14-2
-16 Answer
Victor needs to raise $1500 to travel to Spain with his class. He sells magazine subscriptions for $25 each. Which inequality shows how many magazine
subscriptions, m, Victor must sell to earn enough money for his trip?
Write the arithmetic series in summation notation.
3+6+9+12+15+18
The diameter of ball bearing are ditributed normally. The mean diameter i 81 millimeter and the variance i 16. Find the probability that the diameter of a elected bearing i greater than 85 millimeter. Round your anwer to four decimal place
the probability that the diameter of a elected bearing is greater than 85 millimeter P(diameter > 85) = P(z > (85-81)/4) = P(z > 1) = 0.1587
The diameter of ball bearings is normally distributed, with a mean of 81 millimeters and a variance of 16.
To calculate the probability that a selected bearing has a diameter greater than 85 millimeters, we first calculate the z-score for 85 millimeters.
We subtract 81 from 85 to get 4, and divide by 4 to get 1 for the z-score.
We the look up the probability for a value of 1 in the z-table, which is 0.1587.
This is the probability that a selected bearing has a diameter greater than 85 millimeters, rounded to four decimal places.
Learn more about probability here
https://brainly.com/question/11234923
#SPJ4
i need help its urgent its due today geometry
Please help
The question is:
Which shows how to find the value when x = (-2) and y = 5?
I attached the equation & choices
Answer:
i believe the answer is 3^2(-2)^6/ 5^4
Step-by-step explanation:
For a random sample of 50 grandparents, the average number of grandchildren that grandparents have is 6.7. The standard deviation is 4.
Find the best point estimate of the population mean.
Find the 95% confidence interval of the mean number of grandchildren.
Find the 99% confidence interval of the mean number of grandchildren.
Which is smaller? Explain why.
The best point estimate of the population mean is 6.7. The value for a 95% and 99% confidence interval of approximately (5.87, 7.53) and (5.58, 7.82) respectively and 95% confidence interval is smaller than the 99%.
The best point estimate of the population mean is the sample mean, which is 6.7. Since the sample mean is calculated from a random sample, it provides an estimate of the population mean.
To calculate the 95% confidence interval of the mean number of grandchildren, we can use the formula: Confidence Interval = sample mean ± (critical value * standard deviation / sqrt(sample size)). The critical value for a 95% confidence level is approximately 1.96.
Plugging in the values: Confidence Interval = 6.7 ± (1.96 * 4 / sqrt(50)). Calculating this, we get a confidence interval of approximately (5.87, 7.53).
Similarly, to calculate the 99% confidence interval, we use the critical value of approximately 2.58 for a 99% confidence level. Plugging in the values: Confidence Interval = 6.7 ± (2.58 * 4 / sqrt(50)). Calculating this, we get a confidence interval of approximately (5.58, 7.82).
The 95% confidence interval is smaller than the 99% confidence interval. This is because higher confidence levels require wider intervals to capture a larger range of potential population means. The 99% confidence interval is wider because it allows for a greater margin of error, providing a higher level of confidence but at the cost of increased uncertainty. Conversely, the 95% confidence interval is narrower as it aims to provide a more precise estimate of the population mean with a slightly lower level of confidence. Therefore, the 95% confidence interval is smaller than the 99% confidence interval.
Learn more about confidence interval here:
brainly.com/question/32546207
#SPJ11
What is the difference between the x intercept and the zero of a function?
Answer:
The y-intercept is where the graph crosses the y-axis. The x-intercept is where the graph crosses the x-axis. ... Look for the x-intercept where the graph crosses the x-axis. Look for the zeros of the linear function where the y-value is zero.
Step-by-step explanation:
Find the value of this expression if x = 3.
x2 + 3
Express your answer as a fraction or integer.
Enter the correct answer.
Answer:
9
Step-by-step explanation:
x2 + 3
(3)2 + 3
6 + 3
9
Answer:
12.
Step-by-step explanation:
x = 3; x^2 + 3.
(3)^2 + 3 = 3 * 3 + 3 = 9 + 3 = 12
Hope this helps!
the cookies in a jar contain a total of 1000 chocolate chips. all but one of these cookies contains the same number of chips; it contains one more chip than the others. the number of cookies in the jar is between one dozen and three dozen. what is the sum of the number of cookies in the jar and the number of chips in the cookie with the extra chocolate chip?
The total number of chocolate chips in the cookies is 1000. All the cookies, except one, have the same number of chips, while the remaining cookie has one more chip than the others. The number of cookies in the jar is between one dozen (12 cookies) and three dozen (36 cookies).
To find the sum of the number of cookies in the jar and the number of chips in the cookie with the extra chocolate chip, we can follow these steps:
1. Let's assume the number of cookies in the jar is "x". Since the number of cookies is between one dozen and three dozen, we have the inequality: 12 ≤ x ≤ 36.
2. Since all the cookies, except one, have the same number of chips, we can divide the total number of chocolate chips by the number of cookies minus one. This gives us the number of chips in each cookie (excluding the one with the extra chip). So, the number of chips in each cookie is 1000 ÷ (x - 1).
3. The cookie with the extra chip has one more chip than the others. Therefore, the number of chips in the cookie with the extra chip is 1000 ÷ (x - 1) + 1.
4. To find the sum of the number of cookies in the jar and the number of chips in the cookie with the extra chocolate chip, we add the number of cookies (x) and the number of chips in the extra chip cookie (1000 ÷ (x - 1) + 1).
Remember that the number of cookies in the jar is between one dozen and three dozen, so the sum will vary depending on the number of cookies. You can substitute different values within the given range (12 ≤ x ≤ 36) to find different possible sums.
Learn more about cookies here :-
https://brainly.com/question/31686305
#SPJ11
Can you use a right triangle to represent the distance between any two points on the coordinate plane?.
Yes. A leg of a right triangle can indicate the distance that separates two vertical or horizontal points, and the hypotenuse can represent the distance between two non-vertical or non-horizontal points.
We can use this theorem to calculate the distances between two locations on a coordinate grid. Consider the following example using the points:
( 3, 4 ) and ( − 2, 1 )
We can see how to make a right triangle with the hypotenuse as that of the line connecting these two spots. A right angle is formed at the coordinates ( 3, 1), where the vertical line from ( 3, 4 ) and the horizontal line from ( 2, 1 ) intersect.
To learn more about the distance between any two points, use the link below.
https://brainly.com/question/20436215?referrer=searchResults
#SPJ4
If =13DE=13, =14EF=14, and =33HI=33, find the length of ‾GH . Round your answer to the nearest tenth if necessary. Figures are not necessarily drawn to scale.
the measurement of the side, GH is 30.6 units
What are the properties of a Triangle?The properties of the triangle are: The sum of all the angles of a triangle (of all types) is equal to 180°. The sum of the length of the two sides of a triangle is greater than the length of the third side. In the same way, the difference between the two sides of a triangle is less than the length of the third side.
Given, Triangle DEF is congruent to the triangle GHI from the AA theorem.
So,
EF/HI = DE /GH
GH = (DE*HI)/EF
GH = 13*33/14
GH = 30.6
Therefore, the measurement of the side, GH is 30.6 units
Learn more about triangles here:
https://brainly.com/question/2773823
#SPJ1
Which expression is equivalent to ( 5^3)^2
5^1
5^5
5^6
Answer:
last one I hope this helps you
Step-by-step explanation:
5^6
HELP ASAP PLEASE EXPLAIN THOUGH
Answer:
35 times, or D
Step-by-step explanation:
A bag contains 5 red marbles, 6 blue marbles, 3 green marbles, 4 black marbles, and 2 yellow marbles. A marble will be drawn from the bag and replaced 100 times. What is a reasonable prediction for the number of times a green or black marble will be drawn?
A quick lesson on probability:
The probability of an event is: (the number of ways what you want can happen) / (total number of outcomes possible). For example, in a coin flip, there is 1 way to get heads, and 2 possible outcomes. Thus, the possiblity of flipping a coin and getting heads is:
(1 way to get heads) / (2 possible outcomes) = 1/2
Then, if we were to flip the coin 100 times, we would expect about 1/2 of the times to be heads, so we should expect heads 50 times.
On to the problem.
There are 3 green marbles and 4 black marbles, so there are 7 ways to draw a green or black marble.
Then, there are 5 + 6 + 3 + 4 + 2 = 20 possible outcomes.
Using the formula to find the probability, substitute the values we just found.
(the number of ways what you want can happen) / (total number of outcomes possible) =
(7 ways to draw a green or black marble) / (20 marbles that can be drawn) = 7/20 chance of getting a green or black marble.
Then, because there is a 7/20 chance of getting what we want, and there are 100 draws, we can say that an we should get green or black
7/20 * 100 = 35 times, or D
Feel free to ask any questions! :)
Estimates are that up to _____% of children with disabilities have some type of nutritional problem. 25 45 55 75 90
Estimates suggest that up to 90% of children with disabilities have some type of nutritional problem.
These children often face unique challenges that can contribute to a higher risk of nutritional deficiencies or imbalances.
Disabilities can affect various aspects of a child's health, including their ability to eat, digest, absorb nutrients, and maintain a healthy weight.
Additionally, certain disabilities may require specific dietary restrictions or specialized nutritional interventions, which can further complicate their nutritional status.
It is crucial to address these nutritional issues and provide appropriate support to ensure the optimal growth and development of children with disabilities.
for such more question on disabilities
https://brainly.com/question/26504675
#SPJ11
Solve the equation. then check your solution. 119 = n minus 66 a. 53 c. â€""185 b. 186 d. 185
Answer:
Solve the equation 119 = n - 66 and the options are: a. 53, b.186, c. -185, d. 185
solution :
From these we can get is;
119 = n – 66
=> n = 119 + 66
=> n = 185
So option d ) 185 is the correct answer
Know more about “Mathematical Equations” here: https://brainly.com/question/28317304
#SPJ4
Disclaimer: the question was given incomplete on the portal. Here is the Complete Question.
Question: Solve the equation 119 = n - 66 and the options are: a. 53, b.186, c. -185, d. 185
We get that the value of n is option (d) 185 for the equation n - 66 = 119.
We are given an equation:
n - 66 = 119.
An equation is an expression that has an equality sign in between.
For example: 3 x + 3 y = 6 or 7 x + 5 y = 9
We have to solve the equation to find the value of n.
First, we will add 66 to both the sides of the equation.
n - 66 + 66 = 119 + 66 .
Now simplifying the expression, we get that:
n = 119 + 66
Solving the expression to get the value of n:
n = 185
So, option (d) 185 is correct.
Therefore, we get that the value of n is option (d) 185
Learn more about equation here:
brainly.com/question/1214333
#SPJ4
how many significant figures are there in the number 1.032
There are four significant figures in the number 1.032.
Significant figures are the digits in a number that carry meaningful information about its precision. To determine the significant figures in a number, follow these rules:
Non-zero digits are always significant. In this case, the digits 1, 0, 3, and 2 are non-zero.
Zeroes between non-zero digits are significant. In this case, the zero between 1 and 3 is significant.
Leading zeroes (zeros before the first non-zero digit) are not significant. In this case, there are no leading zeroes.
Trailing zeroes (zeros after the last non-zero digit) are significant only if there is a decimal point present. In this case, there is a trailing zero after the 2, and since there is a decimal point, it is significant.
By applying these rules, we find that the number 1.032 has four significant figures.
The number 1.032 has four significant figures.
To know more about Significant figures, visit
https://brainly.com/question/33741100
#SPJ11
Write the equations of the line that passes through the point 4,3) and is perpendicular to the line y=2x−4 . Write the equation in slope-intercept form.
Answer:
y = -¹/₂x + 5Step-by-step explanation:
The product of slopes of perpendicular lines is -1
y = 2x − 4 ⇒ m₁ = 2
m₁m₂ = -1
2m₂ = -1
m₂ = -¹/₂
The Point-Slope form of equation of a line with slope of "m" and passing through point (x₁, y₁) is: y - y₁ = m(x - x₁)
m = -¹/₂
(4, 3) ⇒ x₁ = 4, y₁ = 3
So the equation in point-slope form:
y - 3 = -¹/₂(x - 4)
Therefore:
y - 3 = -¹/₂x + 2
y = -¹/₂x + 2 + 3
y = -¹/₂x + 5what is 1000,0000t -100x=
Answer:
100(10t-x)
Step-by-step explanation:
factor 100 out from the expression
Write the factors of 6 that sum to -5.
Answer:
-2 and -3
Step-by-step explanation:
a negative multiplied by a negative is a positive so -2 multiplied by -3 equals 6. And, -2 + -3 = -5
please help literally dying
Answer:
56
Step-by-step explanation:
Select the correct answer.
1 -
A= -3 2 and B =
7-5
Which of the following is the product matrix AB?
O A.
OB.
AB=
O D.
OC. AB=
1 7
3-[-2 11]
AB=
9 -5 17
3
3-4
-32
AB= -7
17
9-37
1
-6
9
-37 1
1
9-32]
3
-7 -17]
-6
-5
-5
17 -
edementum plato pleasee
Answer:
B.
Step-by-step explanation:
Product AB =
( 1 - (-4*2), 7 - 4*11)
(-3 -2(2), -21 + 22)
(7*1 + -5(-2), 7*7 + -5*11)
= ( 9, -37}
(-7, 1 )
(17, -6 )
How many solutions are there to the equation 7m = 49?
a:2
b:1
c:0
d:infinite
Answer:
B.) 1
Step-by-step explanation:
49 ÷ 7 = 9
Need help with number question 21 pls
Answer:
72 defective light bulbs
Step-by-step explanation:
Out of 500 total light bulbs only 3 were defective.
If we created 12 000 total light bulbs, that's 24 times the amount. So that means we expect 24 times the amount of defective light bulbs to also be produced:
3 x 24 = 72
3 : 500
x 24
72 : 12 000
for exercise, mae jogs miles then walks an additional to cool down. if her jogging speed is miles per hour faster than her walking speed and her total exercise time is , what is her walking speed?
Mae's walking speed is 10 miles per hour. This is calculated by considering the given information.
Let's assume Mae's walking speed is represented by the variable "x" (in miles per hour). According to the given information, her jogging speed would then be "x + 12.5" miles per hour.
To calculate Mae's exercise time, we can use the formula: time = distance / speed.
Mae jogs 27 miles at a speed of "x + 12.5" miles per hour, so her jogging time can be calculated as:
jogging time = 27 / (x + 12.5)
Mae walks an additional 3 miles at a speed of "x" miles per hour, so her walking time can be calculated as:
walking time = 3 / x
The total exercise time is given as 3 hours. Therefore, we can set up the equation:
jogging time + walking time = 3
Substituting the calculated values, we get:
27 / (x + 12.5) + 3 / x = 3
To solve this equation, we can start by multiplying all terms by x(x + 12.5) to eliminate the denominators:
27x + 27 * 12.5 + 3(x + 12.5) = 3x(x + 12.5)
Simplifying the equation:
\(27x + 337.5 + 3x + 37.5 = 3x^2 + 37.5x\)
Combining like terms:
\(30x + 375 = 3x^2 + 37.5x\)
Rearranging the terms to set the equation equal to zero:
\(3x^2 + 7.5x - 375 = 0\)
To solve this quadratic equation, we can use the quadratic formula:
x = (-b ± √(\(b^2\) - 4ac)) / (2a)
In this case, a = 3, b = 7.5, and c = -375. Substituting these values into the quadratic formula:
x = (-7.5 ± √(\(7.5^2\) - 4 * 3 * -375)) / (2 * 3)
x = (-7.5 ± √(56.25 + 4500)) / 6
x = (-7.5 ± √(4556.25)) / 6
Calculating the square root:
x = (-7.5 ± 67.5) / 6
Simplifying further:
x = (60 / 6) or x = (-75 / 6)
Since Mae's walking speed cannot be negative, the solution is x = 10.
Therefore, Mae's walking speed is 10 miles per hour.
Learn more about quadratic equation here:
https://brainly.com/question/1214333
#SPJ11
The complete question is:
For exercise, Mae jogs 27 miles then walks an additional 3 miles to cool down. If her jogging speed is 12.5 miles per hour faster than her walking speed and her total exercise time is 3 hours, what is her walking speed? The athlete's walking speed is
What is the range of the function f(x) = |x − 1| − 2? All real numbers all real numbers less than or equal to −2 all real numbers less than or equal to 1 all real numbers greater than or equal to −2
Answer:
B.)
Step-by-step explanation:
Took test