If m∠FDE = (3x−15)° m∠FDE = 3x-15° and m∠FDB = (5x+59)°, find the value of x such that ∠FDE and ∠FDB are supplementary.
Answers
The value of x is x = 18.25
How to determine the value of x?The angles are given as
m∠FDE = 3x-15° and m∠FDB = (5x+59)°
The angles are supplementary angles
FDE + FDB = 180
This gives
3x - 15 + 5x + 59 = 180
Evaluate the like terms
8x = 146
Divide by 8
x = 18.25
Hence, the value of x is x = 18.25
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Related Questions
Jordan and Ellen recycle cans. Jordan recycles 7 cans for every 12 cans Ellen recycles. Last week, Jordan recycled 42 cans.
What number, c , can be multiplied by 12 to determine the number of cans Ellen recycled last week? How many total cans did Jordan and Ellen recycle last week?
Answers
Answer:
c = 6
Total: 114
Step-by-step explanation:
The ratio of the number of cans Jordan recycles to the number Ellen recycles is 7:12.
The ratio of the number of cans Ellen recycles to the number of cans Jordan recycles is 12:7.
Jordan recycled 42 cans.
Ellen recycled 42 × 12/7 = 6 × 12
c × 12 = 6 × 12
c = 6
Total: 42 + 72 = 114
if x=-5,0,4,8,13 and y=-7,3,11,19,29 what is the slope of the line
Answers
The slope of the line is 1/2.
What is slope?The slope is a measure of the steepness of a line, or a section of a line, connecting two points.
Slope tells you how steep a line is, or how much y increases as x increases. The slope is constant (the same) anywhere on the line.
For example, for the equation y = 3x – 7, the slope is 3, and the y-intercept is (0, −7).
Given:
x=-5,0,4,8,13 and y=-7,3,11,19,29
To find the slope
m= (0-(-5))/(3-(-7))
m=0+5/ 3+7
m=5/10
m= 1/2
Hence, the slope is 1/2.
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K
A certain group of test subjects had pulse rates with a mean of 78.9 beats per minute and a standard deviation of 11.7 beats per minute. Use the range rule of thumb for identifying
significant values to identify the limits separating values that are significantly low or significantly high. Is a pulse rate of 92.3 beats per minute significantly low or significantly high?
Significantly low values are beats per minute or lower
(Type an integer or a decimal.
Do not round)
Significantly high values are
(Type an integer or a decimal. Do not round)
Is a pulse rate of 92.3 beats per minute significantly low or significantly high?
beats per minute or higher.
OA. Significantly low, because it is more than two standard deviations below the mean
OB. Neither, because it is within two standard deviations of the mean
OC. Significantly high, because it is more than two standard deviations above the mean
OD. It is impossible to determine with the information given
Answers
B. Neither, because it is within two standard deviations of the mean.
Given; A certain group of test subjects had pulse rates with a mean of 78.9 beats per minutes.
Standard deviation of 11.7 beats per minute.
Range Rule of Thumb:
Standard deviation = Range/4.
Range = 4×SD.
= 4×11.7
= 46.8
The "usual" range for this situation is,
78.9-2(11.7) to 78.9+2(11.7) = 55.5 to 102.3
Significantly low will be less than 55.5
Sig high will be greater than 102.3
Pulse rate - Mean = 92.3 - 78.9 = 13.4
This value below mean
Then check 2×Standard deviation = 2×11.7= 23.4
This value is also below the mean value.
Significantly low values are 55.5 beats per minute or lower.
Significantly high values are 102.3 beats per minute or higher.
Hence it is within two standard deviations of the mean.
Therefore, the answer is B Neither, because it is within two standard deviations of the mean.
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a bag contains 2 green, 4 blue, and 3 yellow disks. alana selects 4 disks from the bag at random, one at a time, without replacing them. what is the probability that she selects all 4 blue disks?
Answers
The probability that she selects all 4 blue disks is 0.0317.
What is probability?The probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.
Now, according to the question;
There is a total of 2 green disks.
There is a total of 4 blue disks.
There is a total of 3 yellow disks.
The formula for selecting the combination of 4 blue disks are
Probability = (combination for 4 blue)/ Total combination for 9.
The combination is given by the relation;
ⁿCₓ = n!/{x!(n-x)!}
The combination for getting 4 blues is-
n is the total blue disks = 9
x is the selected blue disks = 4
⁹C₄ = 9!/{4!(9-4)!} = 126
The required probability = 4/126
The required probability = 0.0317
Thus, the probability that she selects all 4 blue disks is 0.0317.
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▼ Answer
I know I'll have to work a double shift today because I have a migraine and every time I have a migraine I get stuck pulling a double. Is inductive or deductive
Answers
Deductive Reasoning.
What's the difference between inductive and deductive reasoning?
Inductive reasoning is a bottom-up approach, while deductive reasoning is top-down. Inductive reasoning takes you from the specific to the general, while in deductive reasoning, you make inferences by going from general premises to specific conclusions.
Examples-
Inductive Reasoning: The first lipstick I pulled from my bag is red. The second lipstick I pulled from my bag is red. Therefore, all the lipsticks in my bag are red.
Deductive Reasoning: The first lipstick I pulled from my bag is red.
A deductive approach involves the learners being given a general rule, which is then applied to specific language examples and honed through practice exercises. An inductive approach involves the learners detecting, or noticing, patterns and working out a 'rule' for themselves before they practise the language.
A deductive argument is said to be valid if and only if it takes a form that makes it impossible for the premises to be true and the conclusion nevertheless to be false. Otherwise, a deductive argument is said to be invalid.
Thus ,I know I'll have to work a double shift today because I have a migraine and every time I have a migraine I get stuck pulling a double is and example of Deductive reasoning . Because a deductive argument is said to be valid if and only if it takes a form that makes it impossible for the premises to be true and the conclusion nevertheless to be false.
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Suppose that the functions q and r are defined as follows.
q(x)=-2x-2
r(x)=x^2+1
Find the following.
(r•q) (2) =
(q•r) (2) =
Answers
The function (r •q)(-3) =(q •r)(-3) and they are equal to -40
What are algebraic functions with example?
There are several different categories of algebraic functions, including rational, polynomial, radical, cubic, linear, and quadratic. f(x)=2x+3 (linear), f(x)=(2x+3)/(x2) (rational), and f(x)=x(1/2) are a few instances (rational).Given the following functions
q(x) = 2x+2
r(x) = x² +1
Taking the product
q(x)*r(x) = (2x+2)(x² +1)
Note that according to the communatative law, (r •q)(x) = (q •r)(x)
(r •q)(-3) =(q •r)(-3) = (2(-3)+2)((-3)² +1)
(r •q)(-3) =(q •r)(-3) = (-4)(9+1)
(r •q)(-3) =(q •r)(-3) = -4(10)
(r •q)(-3) =(q •r)(-3) =-40
Hence the function (r •q)(-3) =(q •r)(-3) and they are equal to -40.
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Chris saved x dollars and spent half of his savings buying video games. After earning an additional $20 cutting grass, he had $60. If the equation 1/2bh represents the scenario, how much did he start with in his savings?
Answers
Answer:
80
Step-by-step explanation:
Simply reverse the steps.
In the end he has 60, before that he got 20 dollars for cutting grass, so subtract 20.
Now he has 40, which is after he spent half of his money on games, so multiply it by 2.
This is where he started, and he has 80 dollars saved.
The length of a rectangle is four times it’s width. The rectangle has an area of 1024cm squared. Work out the width of the rectangle.
Answers
Answer:
The width is 16 cm.
Step-by-step explanation:
[tex]l = 4w[/tex]
[tex]lw = 4 {w}^{2} = 1024[/tex]
[tex] {w}^{2} = 256[/tex]
[tex]w = 16[/tex]
Which of the following could be a real-world description of the quantity two times x end quantity divided by 2x/10?
Answers
The real-world description of the expression could be: John's age is one-fifth of his sister's age
How to determine the real-world description of the expression?The expression is given as:
2x/10
To determine the real-world description of the expression, we simply represent the variable x with a real-world expression
Take for instance:
x represents the age of a boy
So, the real-world description of the expression could be:
John's age is one-fifth of his sister's age
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Do the numbers in the perimeter row form an arithmetic sequence? If so, what is the common difference, and what is the recursive formula for the perimeter of a square of side n(the nth perimeter) using the first number(perimeter) in the pattern?
Answers
Answer:
Common difference d = 4Recursive formula Pₙ₊₁ = Pₙ+ 4Step-by-step explanation:
Let the perimeter of the square with length of n be Pₙ.
According to given table we have:
P₁ = 4, P₂= 8, P₃ = 12, P₄= 16, P₅= 20We can put this as a sequence:
4, 8, 12, 16, 20Common difference is:
d = 8 - 4 = 12 - 8 = 16 - 12 = 20 - 16 = 4The recursive formula for this sequence is:
Pₙ₊₁ = Pₙ+ 4What is the slope of a line that is parallel to –x + 3y = 6 Responses 1/3 StartFragment, 1/3, -1 StartFragment, -1, 3 StartFragment, 3, 6
Answers
The slope of the line parallel to the line –x + 3y = 6 is a 1/3 option (A) 1/3 is correct.
What is the slope?The ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).
[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]
It is given that:
The equation of the line:
–x + 3y = 6
Write the equation in standard form:
y = x/3 + 6/3
y = x/3 + 2
m = 1/3
The slope of the line parallel to the line –x + 3y = 6
M = 1/3
Thus, the slope of the line parallel to the line –x + 3y = 6 is a 1/3 option (A) 1/3 is correct.
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What is |-3+|3| kinda need asap
Answers
Answer: Zero
Step-by-step explanation: The bars are meant trick you. git cuh
Answer:
0
Step-by-step explanation:
−3+3
=−3+3
=0
---------------
A rectangular lawn is 20 yards by 28 yards. It would cost $4.80 per yard to install a fence around the lawn. How much would it cost to put a fence around the lawn?
Answers
20 + 20 + 28 + 28 = 96
96(4.80) = 460.8
first thing you need to get is the area of the lawn so you multiply 20 by 28 then you get 560 and then you multiply the 560 by 4.8 which would give you the total amount of money it would cost to put a fence around the lawn
Yumi takes 5/12 hour to complete 50 math problems Eric is able to complete 48 math problems in 2/5 hour which student can complete math problems at a greater rate of problems per hour
Answers
If Yumi takes 5/12 hour to complete 50 math problems Eric is able to complete 48 math problems in 2/5 hour the student that can complete math problems at a greater rate of problems per hour is: They solve the same number of problems per hour.
RateCalculation for the rate of Yumi
Yumi=5/12×60
Yumi=25 minutes
Rate=50/25
Rate=2
Calculation for the rate of Eric
Eric=2/5×60
Eric=24 minutes
Rate=48/24
Rate=2
Hence, Both Yumi and Eric has the same rate which is 2.
Therefore If Yumi takes 5/12 hour to complete 50 math problems Eric is able to complete 48 math problems in 2/5 hour the student that can complete math problems at a greater rate of problems per hour is: They solve the same number of problems per hour.
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Determine all the unknown values of the figure Devon is hired by the city to create a scale mural of a local park. Devon is exactly 6 feet tall but in the mural, he is 4.5 feet tall. If the tree in the park is 30 feet tall, how tall should the tree be in the mural?
The tree will be feet tall in the mural.
Answers
Answer:
F=10, S=26
Step-by-step explanation:
We know that the base is 24. Using that information, 10^2+24^2=26^2 which is a pythagorean triple
The height of the tree in the mural should be 22.5 feet.To determine the height of the tree in the mural, we can set up a proportion using the given information:
Devon's height in the mural: 4.5 feet
Devon's actual height: 6 feet
Tree's height in the mural: Unknown (let's denote it as x)
Tree's actual height: 30 feet
The proportion can be set up as follows:
(Devon's height in the mural) / (Devon's actual height) = (Tree's height in the mural) / (Tree's actual height)
(4.5 feet) / (6 feet) = x / (30 feet)
Now, let's solve for x by cross-multiplying:
4.5 feet * 30 feet = 6 feet * x
135 feet = 6x
Now, divide both sides of the equation by 6 to find x:
x = 135 feet / 6
x = 22.5 feet
So, the height of the tree in the mural should be 22.5 feet.
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10. Find the conditions on m and b such that the linear function y = mx + b is its own inverse. Prove this using algebraic techniques only.
Answers
The conditions on m and b such that the linear function y = mx + b is its own inverse is 1 and 0 respectively.
What is Linear Function ?A linear function is of the form f(x) = mx + b where 'm' and 'b' are real numbers. It's look like the slope-intercept form of a line which is expressed as y = mx + b.
Or, it is a function that represents a straight line on the coordinate plane.
It is given that the linear is b,
y = mx + b
So, inverse of this function will be :
x = my + b
my = x - b
y = (1/m)x - b/m
Then, for both functions equal
m = 1/m and -b = b
So, m must be 1 and b must be 0.
Therefore, the value is of the m and b of the given equation y = mx + b is its own inverse will be 1 and 0 respectively.
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Question 2 of 5
AABC DEF. What sequence of transformations will move AABC onto ADEF?
10
9876 5 4 3 2 +
A(0,4)
-1
D(5,8)
1 2 3 4 5 6 7 8 9 10 1
B(0,0) C(3, 0) E(5.0) F(11,0)
A. A dilation by a scale factor of 2, centered at the origin, followed by
a reflection over the wavic
Answers
Answer:
s
sStep-by-step explanation:
The price of Stock A at 9 AM was $13.09. Since then, the price has been increasing at the rate of $0.05 each hour. At noon the price of Stock B was $13.59. It begins to decrease at the
rate of $0.12 each hour. If the two rates continue, in how many hours will the prices of the two stocks be the same?
Answers
Answer: I think this is a trick question because they are always either greater or less than each other
Step-by-step explanation:
How do you find out how many times a number goes into another number? What math do you do?
Answers
Answer:
Divide one number by the other, your quotient is the answer.
help pleaseeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Answers
Answer:
f(x) = 4x³ - 7x + 5
f(x) = 4x³ - 7x + 5(a). f(0) = 5
f(x) = 4x³ - 7x + 5(a). f(0) = 5 Check
f(x) = 4x³ - 7x + 5(a). f(0) = 5 Checkif x=0,
f(x) = 4x³ - 7x + 5(a). f(0) = 5 Checkif x=0,using the formula above
f(x) = 4x³ - 7x + 5(a). f(0) = 5 Checkif x=0,using the formula abovef(0) = 4(0)³ - 7(0) + 5
f(x) = 4x³ - 7x + 5(a). f(0) = 5 Checkif x=0,using the formula abovef(0) = 4(0)³ - 7(0) + 5 = 0 - 0 + 5
f(x) = 4x³ - 7x + 5(a). f(0) = 5 Checkif x=0,using the formula abovef(0) = 4(0)³ - 7(0) + 5 = 0 - 0 + 5 = 5. ✓
f(x) = 4x³ - 7x + 5(a). f(0) = 5 Checkif x=0,using the formula abovef(0) = 4(0)³ - 7(0) + 5 = 0 - 0 + 5 = 5. ✓(b). f(7) =
f(x) = 4x³ - 7x + 5(a). f(0) = 5 Checkif x=0,using the formula abovef(0) = 4(0)³ - 7(0) + 5 = 0 - 0 + 5 = 5. ✓(b). f(7) = Using the formula above,
f(x) = 4x³ - 7x + 5(a). f(0) = 5 Checkif x=0,using the formula abovef(0) = 4(0)³ - 7(0) + 5 = 0 - 0 + 5 = 5. ✓(b). f(7) = Using the formula above, f(7) = 4(7)³ - 7(7) + 5
f(x) = 4x³ - 7x + 5(a). f(0) = 5 Checkif x=0,using the formula abovef(0) = 4(0)³ - 7(0) + 5 = 0 - 0 + 5 = 5. ✓(b). f(7) = Using the formula above, f(7) = 4(7)³ - 7(7) + 5 = 4(343) - 49 + 5
f(x) = 4x³ - 7x + 5(a). f(0) = 5 Checkif x=0,using the formula abovef(0) = 4(0)³ - 7(0) + 5 = 0 - 0 + 5 = 5. ✓(b). f(7) = Using the formula above, f(7) = 4(7)³ - 7(7) + 5 = 4(343) - 49 + 5 =1372 - 54
f(x) = 4x³ - 7x + 5(a). f(0) = 5 Checkif x=0,using the formula abovef(0) = 4(0)³ - 7(0) + 5 = 0 - 0 + 5 = 5. ✓(b). f(7) = Using the formula above, f(7) = 4(7)³ - 7(7) + 5 = 4(343) - 49 + 5 =1372 - 54 = 1318
f(x) = 4x³ - 7x + 5(a). f(0) = 5 Checkif x=0,using the formula abovef(0) = 4(0)³ - 7(0) + 5 = 0 - 0 + 5 = 5. ✓(b). f(7) = Using the formula above, f(7) = 4(7)³ - 7(7) + 5 = 4(343) - 49 + 5 =1372 - 54 = 1318
(c). f(-5) =
Using the formula above
f(-5) = 4(-5)³ - 7(-5) + 5
= 4(-125) + 35 + 5
= -500 + 40
= -460
*remember to use a calculator to check the answers
Hope this helps xoxo....
Answer: 1328
Step-by-step explanation:
4*7^3 - 7*7 + 5 = 1328
An angle measures 43.4° less than the measure of its complementary angle. What is the measure of each angle? please answer
Answers
The complementary angles are: 66.7° and 23.3°.
What are Complementary Angles?Two angles are said to be complementary if they both have a sum of 90 degrees when added.
Thus, we have the following:
One of the angles is represented as x.
Second angle = x - 43.4
Therefore:
x + x - 43.4 = 90
2x - 43.4 = 90
2x = 90 + 43.4
2x = 133.4
2x/2 = 133.4/2
x = 66.7°
First angle = x = 66.7°
Second angle = 66.7 - 43.4 = 23.3°
Therefore, the complementary angles are: 66.7° and 23.3°.
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m< 1=3x° and m2 = (x+48)°
Answers
If the two angles are supplementary then the value of x is 33°.
Two angles that sum to a straight angle or 180° are called supplementary angles.
The non-shared sides of two supplementary angles that are nearby create a straight line if they share just one side and have a common vertex. A linear pair of angles is the name given to such angles. However, extra angles might be spaced apart and need not be on the same line. For instance, opposite angles of a cyclic quadrilateral (one whose vertices all fall on a single circle) and adjacent angles of a parallelogram are supplementary.If the two given angles are supplementary then we can create a linear equation in x of the form:
m∠1+m∠2=180°
Substituting the values we get:
3x°+(x+48)°=180°
or, 4x°+48°=180°
or, 4x°=180°-48°
or,4x°=132°
or, x°=33°
Hence the value of x is 33°.
Disclaimer: The complete question should be: if m< 1=3x° and m2 = (x+48)° are supplementary find the value of x.
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Which property is shown?
5 plus open square brackets open parentheses negative 3 x close parentheses plus
4 close square brackets equals open square brackets 5 plus open parentheses
negative 3 x close parentheses close square brackets plus 4
Commutative Property of Multiplication
Associative Property of Multiplication
Associative Property of Addition
Commutative Property of Addition
Answers
The correct option is; Associative Property of Addition.
What is referred as the Associative Property of Addition?The associative property of addition is a principle that states that when adding three or more numbers, we could really group them in any combination and the sum remains the very same irrespective of how they are grouped.The associative property of addition equation exemplifies that grouping numbers in different ways has no effect on the sum. The brackets which it group the numbers facilitate the process of addition: (a+ b) + c = a + (b + c)For the given question;
The equation formed by the given statement is -
5 + [(-3x) + 4] = [5 + (-3x)] + 4
Observe the stated equation and comparing with the general equation;
The values are arranged in the form of associative addition.
Check the values;
LHS = 5 + [(-3x) + 4] ; simplifying,
5 -3x + 4 = 9 - 3x
RHS = [5 + (-3x)] + 4 ; simplifying,
5 - 3x + 4 = 9 -3x
As, LHS = RHS and addition is being done.
Thus, the given equation shows the associative property of addition.
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What is the missing number in this sequence 6, 7, 9, 12, 17, ?
Answers
Can someone explain please?
Answers
7th-grade easy math PLEASE Answer correctly this is for a grade
SHOW YOUR WORK AND TAKE A PICTURE
PLS
PLEASE Answer correctly this is for a grade
SHOW YOUR WORK AND TAKE A PICTURE
PLS
Answers
Answer:
4 lemons per pitcher basically by looking at the graph you can determine each pitcher increased by a steady pattern of 4 lemons per pitcher.
Example: 2x=8, x=4, 2(4)=8, 8=8 true, the x and y value is cannot be 0 for this equation since no workers means no lemons. If I subtract back by -4 the graph would look like: 1 4, 0 0. Proving this. Also another example I can do is 3x=12, divide 3 by both side x=4, plug them in, 12=12 which is true. Keep in mind X means Pitcher so 4 is correct.
Oh yea less compilcated way is to just look a graph I did all those step to prove to you. Good luck!
Step-by-step explanation:
WHAT IS THE PATTERN IN 9:47, 10:21, 10:57, ?, 12:15
Answers
11:35 will be the omitted number in the supplied sequence.
Describe a series.A list of components that have been arranged in a sequential fashion, with members coming either before or after, is referred to as a sequence.
The order will be provided as
9:47, 10:21, 10:57, ?, 12:15
The two increases the gap between the two numbers.
Consequently, there will be a 36-second gap between 10:57 and 10:21.
The distance between the following number and 10:57 will then be 38. The following number will be
→ 10: 57 + 00:38
→ 11: 35
Thus, 11:35 will be the following number.
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HELP! How do I factor this expression? x^3 + y^3 + z^3 -3xyz
Answers
Answer:
( x + y + z )( x^2 + y^2 + z^2 - xy - yz - zx )
Step-by-step explanation:
Use Identity to factor this long expression.
Hope this helps.
How does the sum of 2 + 6 change if both integers are negative? Explain.
Answers
If 2 and 6 were both negative, their combined value would be -2 + (-6) = -8. The arithmetic outcome of adding the magnitudes of the numbers, but with the opposite sign, yields the sum of negative integers. In this instance, the product of -2 and -6 is -8, which symbolises the joining of two negative values that produces a negative outcome.
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sketch the graphs 3y+2x=1
Answers
Answer: y= -2/3 x + 1/3
Step-by-step explanation:
The first thing you need to do is but it into standard y = mx + b form, where m is the slope of the line and b is the y-intercept. Using algebra, we can turn 3y + 2x = 1 into y = -2/3x + 1/3. the slope is -2/3 which means you start at the y-intercept (0,1/3) and go down 2 and to the right 3. Putting it on paper or in a graphing simulator will give you this line. The point on the y-axis is the y-intercept and the point on the x-axis is the x-intercept.
Answer:
make 3y subjet of the fomulae then subtract 2x then divide by 3 both sides then the ans will be y= -2x+1/3
