Answers: Angle A is 36 degrees, angle C is 54 degrees
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Work Shown:
The angles A and C are complementary, meaning they add to 90 degrees.
(Angle A) + (Angle C) = 90
(2x-4) + (2x+14) = 90
(2x+2x)+(-4+14) = 90
4x+10 = 90
4x+10-10 = 90-10 .... subtract 10 from both sides
4x = 80
4x/4 = 80/4 ..... divide both sides by 4
x = 20
If x = 20, then,
angle A = 2x-4 = 2*20-4 = 40-4 = 36 degrees
angle C = 2x+14 = 2*20+14 = 40+14 = 54 degrees
Note how A+C = 36+54 = 90 which helps confirm our answers.
Find the width (w)of a rectangular room with a length (l) of 60 meters and an area (a) of 2,400 square meters
To find the area of a rectangular shape, we need to have the length and width of the shape.
Here the room is rectangular in shape.
The length of the room is 60 meters and lets say the width of the room is 'w' meters.
The area of room is given which is 2,400 square meters.
The area of rectangle is given by:
[tex]length \times width[/tex]
Now, plugging the values of the length and width, we get:
[tex]Area = 60 \times width[/tex]
[tex]2400= 60 \times width[/tex]
Solving for width, we get:
[tex]Width= \frac{2400}{60} =40[/tex] meters.
So, the width of the rectangular room is 40 meters.
Answer:The answer is
Step-by-step explanation: W= 40 I just did the quiz on I ready
Line Best Fit.
Is this the correct line best fit
Answer:
Yes this is the correct answer.
Step-by-step explanation:
The line of best fit is the straight line that best represents the trend or relationship between the data points in a scatter plot. It is determined by minimizing the sum of the squared differences between the observed data points and the predicted values on the line. The least-squares line is valid for predicting the cost of a 300 oz. size of laundry detergent if the relationship between the variables is linear and the assumptions for linear regression are met.
Explanation:The question is asking about the line of best fit. The line of best fit is the straight line that best represents the trend or relationship between the data points in a scatter plot. It is determined by minimizing the sum of the squared differences between the observed data points and the predicted values on the line.
To determine if a line is the best way to fit the data, we can use various methods such as calculating the correlation coefficient or examining the scatter plot. For outliers, we can identify them if they are significantly different from the other data points and affect the overall trend of the data. The least-squares line, which is the line of best fit, is valid for predicting the cost of a 300 oz. size of laundry detergent if the relationship between the variables is linear and the assumptions for linear regression are met. The slope of the least-squares line represents the rate of change in the dependent variable (y) for a one-unit increase in the independent variable (x).
What’s the answer??? (SOMEONE PLEASE HELP)
- [tex]\frac{3y}{x^{2} }[/tex]
separate the factors as products
[tex]\frac{-24}{8}[/tex] × [tex]\frac{x^{4} }{x^{6} }[/tex] × [tex]\frac{y^{3} }{y^{2} }[/tex]
using the rule of exponents
[tex]\frac{a^{m} }{a^{n} }[/tex] = [tex]a^{(m-n)}[/tex] if m > n
and [tex]\frac{1}{a^{(n-m)} }[/tex] if n > m
= - 3 × [tex]\frac{1}{x^{(6-4)} }[/tex] × [tex]y^{(3-2)}[/tex]
= - 3 × [tex]\frac{1}{x^{2} }[/tex] × y = - [tex]\frac{3y}{x^{2} }[/tex]
3/10 divided by 2/8 = ?
[tex]\dfrac{3}{10}\div \dfrac{2}{8}=\dfrac{3}{10}\div \dfrac{1}{4}=\dfrac{3}{10}\cdot4=\dfrac{3}{5}\cdot2=\dfrac{6}{5}[/tex]
F = 9 5 C + 32 is the formula used to convert degrees Celsius to degrees Fahrenheit. Convert 35°C to degrees Fahrenheit. A) 36°F B) 63°F C) 67°F D) 95°F Submit Hint Calc The Number System (7.NS.A.3) Solve Problems ID: 118048
I would say 67°F would be the right answer.
In one study, it was found that the correlation coefficient between two variables is -0.93.
Which statement is true?
A. There is a weak positive association between the variables.
B. There is a weak negative association between the variables.
C. There is a strong positive association between the variables.
D. There is a strong negative association between the variables.
the answer is d (i think) because anything aboveboard .90, whether it is positive or negative
Answer: D. There is a strong negative association between the variables.
Step-by-step explanation:
We know that when the value of the correlation coefficient lies between -1 to -.05 , then we say there is strong negative correlation between the variables.
OR
When the value of the correlation coefficient lies between 0.5 to 1, then we say there is strong positive correlation between the variables.
Given : In one study, it was found that the correlation coefficient between two variables is -0.93.
∵ -1< -0.93 <-0.5
Then , it indicates that there is a strong negative association between the variables.
A news report says that 28% of high school students pack their lunch. Your high school has 60 students. How many students in your high school would you expect to pack their lunch?
-4 < -2(2 + 7x) + 6(x + 8)
Please help and show work!!
[tex]-4 < -2(2+7x)+6(x+8)\ \ \ \ |\text{use distributive property}\\\\-4 < (-2)(2)+(-2)(7x)+(6)(x)+(6)(8)\\\\-4 < -4-14x+6x+48\\\\-4 < (-14x+6x)+(-4+48)\\\\-4 < -8x+44\ \ \ \ |+4\\\\0 < -8x+48\ \ \ \ |+8x\\\\8x < 48\ \ \ \ |:8\\\\\boxed{x < 6}[/tex]
A store is having a sale where school supplies are 30% off their oiriginal price. A backpack is on sale for $11.20. What was the original price of the backpack
Answer:
16 dollars.
Step-by-step explanation:
Given that selling price of a back pack after reduced by 30% is 11.20 dollars.
We have to find the original price of the back pack.
Let original price = 100
Reduced % = 30
Selling price = 70
70 dollars is equivalent to selling price of 11.20 $
100 dollars is equivalent to selling price of 100(11.2)/70 = 16 $
i.e. original price of back pack is 16 dollars.
At a college, 7 out of every 10 students worked either a full-time or part-time job in addition to their studies. If 4,900 students were enrolled at the college, how many students did not have a full-time or part-time job?
Remark
If 7/10 do have full or part time jobs then 3/10 do not.
That comes from 1 which represents all the students subtract 7/10 to get 3/10
Solution
Those without jobs = 4900 * 3/10 = 4900 *0.3 = 1470 that do not have any kind of job.
Kai is making a chessboard using pieces of wood that measure 1 square inch.
when he finishes, the chessboard will have an area of 64 square inches.
how many pieces of wood should he put along each side?
a.
64 pieces of wood
b.
642 pieces of wood
c.
8 pieces of wood
d.
82 pieces of wood
Answer:
The correct option will be: c. 8 pieces of wood.
Step-by-step explanation:
Suppose, the number of pieces of wood along each side of the chess board is [tex]x[/tex]
The area of each piece of wood is given as 1 square inch. So, the length of each piece of wood will be: [tex]\sqrt{1}= 1[/tex] inch.
And the total length of [tex]x[/tex] number of pieces of wood will be: [tex]1x[/tex] inches.
Given that, the area of the chess board is 64 square inches. So, the length of each side will be: [tex]\sqrt{64}=8[/tex] inches.
Thus, the equation will be.........
[tex]1x=8\\ \\ x=\frac{8}{1}=8[/tex]
So, he should put 8 pieces of wood along each side.
Answer: it will be 8
Step-by-step explanation: because 8×8=64
HEEEEEEEEEEEEEEEEEEEEEELP 10 POINTS math vocab 2 questions
Match the vocab with the definition
1. An expression that consists of numbers, operations, and sometimes grouping symbol.
2. The symbol of a math operation.
plus, minus, times, divided by, equals
A. EvaluateAnswer:
Number 1: Evaluate (A)
Number 2: Operator (B)
Final answer:
In mathematics vocabulary, an algebraic expression consists of numbers, operations, and grouping symbols. The symbol for a math operation like plus, minus, times, or equals is called an operator. (Option B)
Explanation:
To answer the student's math vocabulary questions:
An expression that consists of numbers, operations, and sometimes grouping symbols is called an algebraic expression.The symbol of a math operation such as plus, minus, times, divided by, equals is known as an operator.Therefore, matching the vocab with the definition would result in:
1 - Algebraic Expression2 - OperatorThese terms are fundamental in understanding algebra and performing equation manipulation.
What expression is equivalent to 9(4 + r)?
Which statement represents the biconditional statement of the conditional statements?
If the measures of two angles have a sum of 90º, then the angles are complements.
If two angles are complements, then their measures have a sum of 90º.
The measures of two angles do not have a sum of 90º if and only if the angles are complements.
The measures of two angles have a sum of 90º if and only if the angles are complements.
The measures of two angles do not have a sum of 90º if and only if the angles are not complements.
The measures of two angles have a sum of 90º if and only if the angles are not complements.
The measures of two angles have a sum of 90º if and only if the angles are complements.
if the angles are complementary they have to equal 90 otherwise they are not complementary
The measures of two angles have a sum of 90º if and only if the angles are complements.
if the angles are complementary they have to equal 90 otherwise they are not complementary
For carolina birthday her mom took her and 4 friendse to a waterpark.Carolina mom paíd 40 for 5 students tickets.What was the price for one student ticket
40 dollars per 5 students=9 dollars per 1 student
divide both sides by 5.
Rachel saved up art supplies she used 1/3 of her money to buy brushes and used 3/4 of her money to buy paint what fraction of her saveings does she have left
Answer:
The question is actually,
Step-by-step explanation:
Rachel saved money to buy art supplies. She used 1/3 of her savings to buy brushes. She used 3/5 of her savings to buy paint. What fraction of her savings does she have remaining?
Simplify. (h + 12) + (p +24) a) hp + 288 b) hp + 36 c) 12h + 24p d) h + p + 36
(h+12) + (p+24)
h+p+12+24 = h+p+36
Answer:
12h + 24p
Step-by-step explanation:
Order the expressions from least value to greatest value.
Answer:
5/-1.6<-3 3/10 - (- 7/20)< 5 6/15 + (-2 4/5) < -4.5 X -2.3
Step-by-step explanation:
Answer:
[tex]\frac{5}{-1.6}<-3\frac{3}{10}-(-\frac{7}{20})<5\frac{6}{15} +(-2\frac{4}{5} )<-4.5*-2.3[/tex]
Step-by-step explanation:
In this case we have to calculate the value of each one of the terms and the organize it from the lowest to the highest, this is:
[tex]-3\frac{3}{10}-(-\frac{7}{20})=-2.59[/tex]
[tex]\frac{5}{-1.6} =-3.125[/tex]
[tex]5\frac{6}{15} +(-2\frac{4}{5} )=2.6[/tex]
[tex]-4.5*-2.3=10.35[/tex]
Now we can order the expressions, this is:
[tex]\frac{5}{-1.6}<-3\frac{3}{10}-(-\frac{7}{20})<5\frac{6}{15} +(-2\frac{4}{5} )<-4.5*-2.3[/tex]
Use the substation to solve the system of equations. Y=x+1.75 4x-2y=4
What number represents the same amount as 33 3 3 hundreds ++ + plus 44 4 4 tens ++ + plus 1616 16 16 ones?
Answer: 3756
Step-by-step explanation:
33 x 100 = 3300
44 x 10 = 440
16 x 1 = 16
Total: 3756
The number represented by 33 hundreds plus 44 tens plus 16 ones is 3756, which is found by adding 3300 (33 times 100), 440 (44 times 10), and 16 (16 times 1) together.
The question involves adding numbers that compose a whole number through place values. In this case, we are looking at hundreds, tens, and ones. To solve this, we add up each group's contribution to the total. We have:
33 hundreds which is 33 * 100 or 330044 tens which is 44 * 10 or 44016 ones which is 16 * 1 or 16Adding these together:
3300 + 440 + 16 = 3756
So, 33 hundreds plus 44 tens plus 16 ones represents the number 3756.
Can Someone Please Help Me With These 2 Problems I Tried Looking Up Videos On How To Get It & I'm Just Confused
I am attaching an image with the two solutions represented by the blue areas highlighted in your original graphs. Let me know if you have questions.
How many cubes are needed to build the base of this structure?
10 cubes for the base
Answer:
Option (D) 10 cubes
Step-by-step explanation:
The given structure is formed by assembling the cubes.
Number of cubes required for upper layer of the structure = 7 cubes
Now we have to find how many cubes will be required to form the lower layer of the structure.
From the structure ⇒
Cubes in lower layer = cubes in upper layer + 3 more cubes
= 7 + 3 = 10 cubes
Therefore, 10 cubes will be required to form the base of the structure.
Option (D) 10 cubes is the answer.
Nyree divided 495 are 24 using partial quotients find the quotient and remainder explain your answer using numbers and words
Answer: Quotient=20 and remainder=15.
Step-by-step explanation:
Here dividend=495 and divisor=24
Step 1) Write easy multiples of 24 such as
24×2=48
24×5=120
24×10=240 and so on...
Step 2) Find the easier multiple of 24 to subtract from 495 .
Let 240 is the easiest one then 495-240=255 and note 10 as first partial quotient.
Step 3) Again subtracting 240 (as easier one) from 255 and note 10 as second partial quotient,we get 255-240=15 which is our remainder (as it is less than the divisor).
Step 4) add both the partial quotients=10+10=20→ Quotient
The quotient of 495 divided by 24 using partial quotients is 20, and the remainder is 15. This method simplifies the division by subtracting easily computable multiples of 24 from 495.
Nyree wants to divide 495 by 24 using partial quotients, a method where we break down a division problem into simpler pieces that we can solve in our head. For instance, knowing that 24 is close to 25, which is a quarter of 100, can help us simplify the problem. Let's start by subtracting multiples of 24 from 495 until we can subtract no more without going into negatives.
First, we know that 24 times 20 is 480, so we subtract 480 from 495, which gives us a partial quotient of 20 and a remainder of 15.Since 24 cannot go into 15, we stop here. Our total quotient, therefore, is 20 with a remainder of 15.The quotient of 495 divided by 24 is 20, and the remainder is 15. Partial quotients make it easier to handle large numbers by breaking them into smaller, more manageable pieces.
A _______ should follow a dependent clause when the dependent clause comes first in a sentence.
1. colon2. Comma
3. Period
4. Semicolon
it’s not A. colon it didn’t give me an answer
In las vegas nevada stores charge 4.6% sales tax and a 2.65% county sales tax. Yukon is purchasing a handbag at $220 before tax. How much sale tax does tiki pay for her hand bag
a cedar chest has a length that is 3 feet longer than its width and a height that is 1 foot longer than its width. The volume of the chest is 30 cubic feet. What is the width? 1 foot 2 feet 3 feet 6 feet
The answer is 2 feet.
Answer:
3
Step-by-step explanation:
How do you. Get the answers for 72 ounces in 6 steaks =
14|x| - 15 = 41
algebra
Help?? *****10 Points*****
Use the power rule (which says to multiply the exponents)
1) n⁴ˣ⁸ = n³²
2) x³ˣ⁻⁵ = x⁻¹⁵ = [tex]\frac{1}{x^{15} }[/tex]
3) c³ˣ⁵ * d³ˣ⁰ = c¹⁵ * d⁰ = c¹⁵ * 1 = c¹⁵
Evaluate a/b + c2d for a= 6, b = 3., c = 4, and d = 5
The Algebra expression a/b + c²d with the given values (a=6, b=3, c=4, d=5) evaluates to 82. This involves steps of squaring, multiplication, division, and finally addition.
In order to evaluate the expression a/b + c²d, we substitute the given values into the expression. For this problem, the values given are a=6, b=3, c=4, and d=5. Thus, the expression becomes: 6/3 + (4)²(5).
First, we perform the operations in the parenthesis, which is 4 squared, or 4*4, which gives us 16.
Next, we multiply this result by d, which is 5. Therefore, 16*5 gives us 80.
Finally, we perform the division operation: a/b, that is 6 divided by 3, which equals 2.
Adding these two results together, 2 + 80, we get our final answer, which is 82.
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