Answers
Answer: SAS
Step-by-step explanation:
Since [tex]\frac{BC}{CD}=\frac{AC}{CE}=\frac{1}{2}[/tex], and [tex]\angle ACB \cong \angle DCE[/tex] because they are vertical angles, the triangles are similar by SAS
Related Questions
What are the solutions to the following system of equations?
2x − y = 6
y = x2 − 9
(3, 0) and (−1, −8)
(3, 0) and (4, 2)
(−3, 0) and (−1, −8)
(−3, 0) and (4, 2)
Answers
Answer:
(3, 0) and (−1, −8)
Equation's:
2x − y = 6y = x² − 9Substitute equation 2 into 12x − (x² − 9) = 6
2x - x² + 9 = 6
-x² + 2x + 9 - 6 = 0
-x² + 2x + 3 = 0
x² - 2x - 3 = 0
x² - 3x + x - 3 = 0
x(x - 3) + 1(x - 3) = 0
(x + 1)(x - 3) = 0
x = -1, x = 3
Find values for yIf x = -1, then y = (-1)² - 9 = -8
If x = 3, then y = (3)² - 9 = 0
Solution Set:(x, y) = (-1, -8), (3, 0)
what is the range of the ordered pairs shown in the graph?
Answers
D
Step-by-step explanation:
The points dx are at -1, 1, 2 and 3 so it must be D
Answer:
To find the range,
first see the value of each points -
first = (3,5)
second = (2,0)
third = ( 1,3)
fourth, ( -1, 2)
let's take X Axix to find the range
so the range is ( -1, 1 , 2 ,3)
Option D is correct
Select the correct statement about the function represented by the table. x y 1 34 2 41 3 48 4 55 5 62 A. It is a linear function because the difference y – x for each row is constant. B. It is an exponential function because the y-values increase by an equal factor over equal intervals of x-values. C. It is an exponential function because the factor between each x- and y-value is constant. D. It is a linear function because the y-values increase by an equal difference over equal intervals of x-values.
Answers
Answer:
sorry
Step-by-step explanation:
Suppose we want to choose 2 colors, without replacement, from the 3 colors red, blue, and green . How many ways can this be done, if the order of choices is relevant
Answers
The 2 colors can be chosen in 6 different ways.
In how many ways can the colors be chosen?Here we need to identify the selections and the numbers of options for each.
Here the selections are:
Color 1.Color 2.And the numbers of options for each are:
Color 1: 3 options (there are 3 colors).color 2: 2 options (one is already taken).The total number of combinations is:
C = 3*2 = 6
The 2 colors can be chosen in 6 different ways.
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The table shows values for a quadratic function.
X
y
0
2
3
18
4
32
50
6
72
What is the average rate of change for this function for the interval from x = 2
to x = 4?
16
A
5
Answers
The average rate of change for this function for the interval from x = 2
to x = 4 is 20
How to determine the average rate of change?The function is given as:
x y
0 18
2 32
3 50
4 72
The average rate of change at the interval from x = 2 to x = 4 is calculated using:
m = (f(4) - f(2))/(4 - 2)
Using the table values, we have:
m = (72 - 32)/(4 - 2)
Evaluate
m = 20
Hence, the average rate of change is 20
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Mitch needs to do his laundry. It takes him 75 minutes to do each load
when he washes and dries the load. It takes him 43 less minutes if he
hangs up his laundry to dry. He decides to hang up one load of laundry
to dry.
Mitch writes the equation 75r -43 = 332, where x is the number of loads
of laundry he needs to do in order to determine how long it is going to
take him.
The next step Mitch wrote to solve the equation is shown here: 75r = 375
Which property did he use to get to this step?
A
addition property of equality
B
distributive property
C
subtraction property of equality
D
combining like-terms
Answers
Answer: [A] addition property of equality
Step-by-step explanation:
Mitch used the addition property of equality because he added 43 to both sides of the equation.
75r - 43 = 332
43 + (75r - 43) = (332) + 43
75r = 375
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Evaluate the expression. 7^14/7^15 Evaluate the expression . 714 715
Answers
Answer:
1/7
Step-by-step explanation:
Alternative Form: 0.142857, 7^-1
Which expression is equivalent to (r^-7)^6?
Answers
Answer:
Step-by-step explanation:
Answer:
[tex]\frac{1}{r^4^2}[/tex] (option B)
Step-by-step explanation:
[tex]\left(a^b\right)^c=a^{bc},[/tex]
So, we need to first multiple -7 × 6 (= -42)
our new value is [tex]r^{-42\\}[/tex]
[tex]\:a^{-b}=\frac{1}{a^b}[/tex]
So, we simplify [tex]r^{-42\\}[/tex] to [tex]\frac{1}{r^4^2}[/tex]
URGENT
due in 1 hour! For 50 points!!
Pic is the question
Answers
Answer:
21 grandchildren
Explanation:
2/7ths + 5/7th = all
5/7ths = 15 <- divide both sides by 3 to get 1/7th
1/7th = 3 (multiply both sides by 7 to get "1")
7/7ths = 21
so, eva has 21 grandchildren
Answer:
21
Step-by-step explanation:
If 2/7th of Eva's grandchildren live in one location, we know that 5/7th (the remaining portion of Eva's grandchildren) must live in the other location
Wales + Australia = all of the kids (100% = 1/1 (which is equal to 7/7) )
Wales + Australia = 7/7ths
{x is the total number of kids}
Australia = 5/7ths
15 = [tex]\frac{5}{7}x[/tex] {multiply both sides by 7 to get rid of fraction}
105 = 5x {divide both sides to find 1x}
21 = x
check:
2/7th of 21 = 6
5/7th of 21 = 15 {which we know}
6 + 15 = 21
21 = 21
(TRUE)
So, Eva has 21 grandchildren
hope this helps!!
What is the approximate value of x in the diagram below? (Hint: You will need to use one of the trigonometric ratios given in the table.) sin 40° cos 40° 50° 0.643 0.766 0.839 tan 40° 90°
Answers
Answer:
x is approximately 20.89
Step-by-step explanation:
cos(40°) = 16/x
x cos(40°) = 16
x = 16 / cos(40°) = 16/.766 = 20.89
The approximate value of x in the diagram is,
⇒ x = 20.77
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Now, We can formulate by the given figure;
⇒ sin 50° = 16 / x
⇒ 0.77 = 16 / x
⇒ x = 16 / 0.77
⇒ x = 20.77
Thus, The approximate value of x in the diagram is,
⇒ x = 20.77
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Use the rational zeroes theorem to state all the possible zeroes of the following polynomial:
f (x) = 3x^(6) + 4x^(3) - 2x^(2) + 4
Answers
Answer:
All the possible zeroes of the polynomial: f(x) = [tex]3x^{6} + 4x^{3} - 2x^{2} +4[/tex] are ±1 , ±2 , ±4 , ±[tex]\frac{1}{3}[/tex] , ±[tex]\frac{2}{3}[/tex] , ±[tex]\frac{4}{3}[/tex] by using rational zeroes theorem.
Step-by-step explanation:
Rational zeroes theorem gives the possible roots of polynomial f(x) by taking ratio of p and q where p is a factor of constant term and q is a factor of the leading coefficient.
The polynomial f(x) = [tex]3x^{6} + 4x^{3} - 2x^{2} +4[/tex]
Find all factors (p) of the constant term.
Here we are looking for the factors of 4, which are:
±1 , ±2 and ±4
Now find all factors (q) of the coefficient of the leading term
we are looking for the factors of 3, which are:
±1 and ±3
List all possible combinations of ± [tex]\frac{p}{q}[/tex] as the possible zeros of the polynomial.
Thus, we have ±1 , ±2 , ±4 , ±[tex]\frac{1}{3}[/tex] , ±[tex]\frac{2}{3}[/tex] , ±[tex]\frac{4}{3}[/tex] as the possible zeros of the polynomial
Simplify the list to remove and repeated elements.
All the possible zeroes of the polynomial: f(x) = [tex]3x^{6} + 4x^{3} - 2x^{2} +4[/tex] are ±1 , ±2 , ±4 , ±[tex]\frac{1}{3}[/tex] , ±[tex]\frac{2}{3}[/tex] , ±[tex]\frac{4}{3}[/tex]
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what is 190 divided by 2/3
Answers
Reason
When you divide by a fraction, you flip the fraction and multiply
So 190 divided by 2/3 is now 190 x 3/2
Factor 190 x 3/2
Multiply 190 x 3 (numerator) = 570
Divide by 2 (denominator)
570/2 = 285
After divide, the solution of the expression is, 285
What is Division method?Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.
For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Given that;
190 divided by 2/3.
Now, We can simplify as;
⇒ 190 ÷ 2/3
⇒ 190 × 3/2
⇒ 95 × 3
⇒ 285
Thus, The solution of the expression is, 285
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Help me with this question please!!!
Answers
a) 2/8 = 1/4
b) There are 3 females who can speak French and 2 males who can speak French, so the probability is 3/5
K
178
219
J
Which of the following statements is true?
A. sin(J)> cos(L)
B. sin(L)
C. tan(J)=tan(Z)
Answers
Using the sine and cosine ratios, the true statement is: D. sin(J) = cos(L).
What is the Sine and Cosine Ratios?Sine ratio: sin ∅ = opp/hyp.
Cosine ratio: cos ∅ = adj/hyp.
In the image given, find sin(J) using the sine ratio:
∅ = J
Opposite = KL = √(219² - 178²) = 127.6 [Pythagorean theorem]
Hypotenuse = LJ = 219
Sin(J) = 127.6/219
Find cos(L) using the cosine ratio:
∅ = L
Adj = KL = 127.6
Hypotenuse = LJ = 219
Cos(L) = 127.6/219
Therefore, the true statement is: D. sin(J) = cos(L).
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A cab company charges a $5 boarding rate in addition to its meter which is $3
for every mile. What is the equation of the line that represents this cab
company's total charge?
Re
co
Answers
Answer:
m3+5
Step-by-step explanation:
m is miles
take the number of miles multiply by3
take that answer add 5
The equation that represents the cab's total charge is y = 3x + 5 , Option A is the correct answer.
What is an Equation ?A statement that relate two expressions with an equal sign is called an Equation.
It is given that
A cab company charges a $5 boarding
Charges for every mile is $3 per mile
Let x be the mile travelled
The cab's total charge is represented by y
then y = 3x + 5
Therefore the equation that represents the cab's total charge is y = 3x + 5 , Option A is the correct answer.
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John can ride his bicycle at a rate of 14 miles per hour. Convert this rate to feet per second_
O 250.33 feet per second
Answers
Answer:
Step-by-step explanation:
Givens
r = 14 miles / hour
Problem
Convert to feet per second.
Solution
Later on, you will learn how to solve these kinds of conversion problems using a method called Unit Analysis. Since you likely have not been taught this method, will just use proportions.
1 mile = 5280 feet
14 miles = x Cross multiply
x = 14 * 5280 Simplify
x = 73920 feet
1 hour = 3600 seconds
Answer
r = 73920 feet / 3600 seconds
r = 20.533 feet / secpmd
Use the factor theorem and synthetic division to decide whether the second polynomial is a factor of the first.
-x³+4x-15; x+3
Is x + 3 a factor of -x +4x-15?
Yes or no?
Answers
Yes, by using the factor theorem and synthetic division method, x + 3 is a factor of -x³ + 4x - 15.
What is the factor theorem?
According to the factor theorem, a given polynomial of f(x) has a factor if and only if f=0.
From the given information:
The factor of -x³ + 4x - 15 is -(x+3)(x² - 3x + 5) = 0Using the synthetic division method:
[tex]\mathbf{= \dfrac{-x^3+4x - 5}{x+3} }[/tex]
[tex]\mathbf{\implies \dfrac{-(x+3) (x^2-3x + 5)}{x+3} }[/tex]
Cancel out the common factors, we have:
[tex]\mathbf{\implies - (x^2-3x + 5)}[/tex]
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find the measures of angles of triangle DEF
Answers
Answer:
Angle E = 90° Angle D= 55° Angle F = 35°Sum of all the angles of a triangle = 180° ( angle sum property).
Angle D + Angle E + Angle F = 180°
8x - 1 + 5x + 90° = 180°
8x + 5x + 89 = 180
13x = 180 - 89
13x = 91
x = 7.
Angle D = 8x - 1
= 8(7)-1
= 56 - 1
= 55
Angle E = 90° ( given)
Angle F = 5x
= 5 * 7
= 35
Answer:
m∠E: 90°
m∠D: 55°
m∠F: 35°
Step-by-step explanation:
Since the interior angles of a right triangle sum up to 180°, the sum of angles D, E, F will equal 180°. We can then form an equation from that information.
[tex]90+(8x-1)+5x=180\\13x-1=90\\13x=91\\x=7[/tex]
From this, we can plug in the variable.
[tex]mE=90\\mD=55\\mF=35[/tex]
A radioactive substance decays from 90 mg to 12.6 mg in 29 years according to the exponential decay model y=ae−bx , where a is the initial amount and y is the amount remaining after x years.
Find the b -value.
Use the EXACT b -value to write the exponential decay model for this substance with initial amount 90 mg, then use that model to find the half-life.
Find the half-life.
Answers
The half life of the radioactive substance is 10.22 years.
What is Half Life ?Half Life is the amount of time needed by the radioactive substance to reduce to its half concentration (as compared to the initial concentration).
It is given that
y = ae⁻ᵇˣ
here a is the initial amount , y is the amount remaining after x years
a = 90mg at x =0
Value of y = 12.6 mg at x = 29 years
On substitution of value
12.6 = 90 e⁻²⁹ᵇ
0.14 = e⁻²⁹ᵇ
b = 0.0678
The equation is
[tex]\rm y = 90 e^{-0.0678 * x}\\[/tex]
Half life is when the concentration is reduced to half
On 1st half life , the concentration = 90/2 = 45 mg
[tex]\rm 45 = 90 e^{-0.0678 * x}\\[/tex]
x = 10.22 years
Therefore the half life of the radioactive substance is 10.22 years.
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Brittany removed half of the total number of marbles from her bag, and gave one fourth of the remaining marbles to her friend. What fraction of the total number of marbles is left in the bag? A) 1/4, B) 3/8, C) 1/2, D) 7/8
Answers
The fraction of the total number of marbles is left in the bag after removing and giving part to her friend is 3/8
Fractionlet
Number of marbles in her bag = xNumber of marbles removed from her bag = 1/2xRemaining marbles = x - 1/2x
= (2x-x) / 2
= x/2
= 1/2x
Number of marbles given to her friend = 1/4 of 1/2x
= 1/4 × 1/2x
= 1/8x
Number of marbles left in the bag = Remaining marbles - Number of marbles given to her friend
= 1/2x - 1/8x
= (4x-x) / 8
= 3x/8
= 3/8x
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At a soccer game, a vendor sold a combined total of 220 sodas and hot dogs. The number of sodas sold was 46 more than the number of hot dogs sold. Find the number of sodas sold and the number of hot dogs sold.
Answers
Answer:
133 sodas
87 hot dogs
I've completed the work in the photo, just trying to reach the letter count lol
ratio of pi?
3. whats an estimation that's fraction form?
Answers
Answer:
22/7
Step-by-step explanation:
22/7 is not very close to pi, but it is sometimes used as an estimation for pi
Answer:
22/7 is estimation
the product of a quarter of 3 more than a number a and 2 times a number b
Answers
Answer:
[tex] \frac{1}{4} (3a + 2b)[/tex]
The expression from the given condition is 1/4(3a+4b).
We have given that,
The product of a quarter of 3 more than a number a and 2 times a number b.
What is the quarter?
The quarter means divided into four equal or corresponding parts.
Therefore we get the expression from the given condition is
1/4(3a+4b).
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2 divided by what times what equals 7
Answers
Answer:
2/7Step-by-step explanation:
I answer for what I understand, the question is not clear.
2 divided by what times what equals 7
2 : x = 7
x = -2/-7
x = 2/7
-------------
check
2 : 2/7 = 7
2 * 7/2 = 7
7 = 7
the answer is good
Put the steps in order to solve the literal equation for y in terms of x.
6x+2y+ 8 = 180
Answers
Answer:
x = [tex]\frac{172-2y}{6}[/tex]
Step-by-step explanation:
6x + 2y + 8 = 180 ( subtract 8 from both sides )
6x + 2y = 172 ( subtract 2y from both sides )
6x = 172 - 2y ( divide both sides by 6 )
x = [tex]\frac{172-2y}{6}[/tex]
Graph the line with slope 1/4 and y-intercept -8
Answers
Solution: Below! ^^
Detailed explanation:
Hii! I'm sorry, I can't graph the line for you, but I'll try to give you the best possible explanation.
First, note that the question provides us with the info that the y intercept is -8. This is a very valuable piece of information!
This means that the line crosses the y axis (since it's the y intercept) at the point (0,-8). Plot it on the co-ordinate plane.
Next, this question also provides us with the fact that the slope of the line is 1/4. This is yet another valuable piece of information!
What this tells us is: from that point (0,-8), you need to go up 1 unit, then over 4, and so forth, until you obtain a line.
_________
Hope I helped, best wishes & happy studies!
Please reach out to me if any queries arise.
_________
Answer:
Image attached below
Step-by-step explanation:
The line should cross y axis as -8 and should have a point of (0,-8)
The line should have a gradient / slope of 1/4
Which describes how the parent function, f(x) = |x|, is transformed to show the function
f(x) = 0.1|x – 3|?
It is wider and shifted 3 units to the left.
It is wider and shifted 3 units to the right.
It is narrower and shifted 3 units to the left.
It is narrower and shifted 3 units to the right.
Answers
It is wider and shifted 3 units to the left , Option A is the right answer.
What is a Function ?Function is a mathematical statement that shows relation between two variables.
The parent function given is
f(x) = |x|
The transformed function is given by
f(x) = 0.1|x -3|
The function is shifted towards the left
and as the scale factor is 0.1 therefore , It is wider
Therefore Option A is the right answer.
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Answer:
The answer for this is B.
Step-by-step explanation:
Figured it out the hard way on EDGE. 2022
(╯‵□′)╯︵┻━┻
An automobile tire has a diameter of 59m. What is the circumference of the tire
Answers
185.4m (rounded to 1dp)
Circumference of a circle is the diameter times by pi. 59×pi=185.4
Answer:
59 meters
or approximately 185.26 ( using 3.14 for pi)
or 185.3539666 meters using the pi button
Step-by-step explanation:
The circumference is given by
C = pi *d where d is the diameter
C = pi * 59 m
C = 59 pi meters
We can approximate pi by 3.14
C =185.26 meters
or by using the pi button the calculator
185.3539666 meter
What grade is middle school geography?
Answers
Answer:
5th or 6th grade
Step-by-step explanation:
The reason why we learn geography in 5th grade is to prepare us for 6th grade geography. The reason why we learn geography in 6th grade is because Geography helps us understand basic physical systems that affect everyday life. In other words, geography is a nice skill to have when you're learning about the water cycle or rock formations, or the moving of the tectonic plates (and other natural disasters). It's also a very important skill to have when you want to start traveling.
2. Use the relationship you established in part 1 to find the m your work. (1 point)
Answers
When faced with an unknown variable in a maths problem, it is advised to find the subject formula and then use it to solve the equation to find the answer.
What is an Unknown Variable?This refers to the type of variable in a given equation that has to be solved for because its properties or value is not known.
Hence, we can see that when faced with an unknown variable in a given math problem, it is better to find the subject formula, then input the value of this into an equation, to find the value of the variable.
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