In the figure, ∆BAT ≅ ∆CAT. Which statement is not true by CPCTC? ∠BTA ≅ ∠CTA ∠BAT ≅ ∠CAT
Answers
Answer:
Both are true.
Step-by-step explanation:
Related Questions
factorise: 30x^5+15x²y²+xy
Answers
Answer:
your answer calculated would be: x(30x^4 + 15xy^2 + y)
Step-by-step explanation:
i used math-way it's a really useful online calculator
A parent is buying two types of chocolate truffles for their family. The oldest child can eat twice as much as their younger siblings and prefers white chocolate (W), the younger three like dark chocolate (D) and the spouse likes white chocolate (W). Five white chocolate truffles (W) cost the same as three dark chocolate truffles (D). If the parent bought 6 white chocolate truffles(W) and 10 dark chocolate truffles (D), and spent $34.00, how much was each dark chocolate truffle
Answers
Answer:
Each chocolate truffle is $2.125
Step-by-step explanation:
Honestly, I'm not 100% sure if this is correct, and I am truly sorry if this is wrong, but its worth a try :)
I want to know how to solve this equation
Answers
Answer:
your answer will be Option D
Step-by-step explanation:
log 10
Given that f(x) = 2x + 9, find the value that makes f(x) = 27.
Answers
Answer:
9
Step-by-step explanation:
f(x) = 2x+9
f(x) = 27
so, you get:
2x+9=27
2x=18
x=9
Find the equation of the line through points (-5,-6) and (4,12)
Answers
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Answer:
y = 2x +4
Step-by-step explanation:
The slope can be found using the slope formula:
m = (y2 -y1)/(x2 -x1)
m = (12 -(-6))/(4 -(-5)) = 18/9 = 2
The y-intercept can be found from ...
b = y -mx
b = 12 -(2)(4) = 4
Then the slope-intercept equation for the line is ...
y = mx +b
y = 2x +4
Answer:
y=2x+4
Step-by-step explanation:
Hi there!
We want to find the equation of the line that passes through the points (-5, -6) and (4, 12)
The most common way to write the equation of the line is in slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept
First, let's find the slope of the line
The formula for the slope calculated from two points is [tex]\frac{y_2-y_1}{x_2-x_1}[/tex], where ([tex]x_1[/tex], [tex]y_1[/tex]) and ([tex]x_2[/tex], [tex]y_2[/tex]) are points
We have everything needed to calculate the slope, but let's label the values of the points to avoid any confusion
[tex]x_1[/tex]=-5
[tex]y_1[/tex]=-6
[tex]x_2[/tex]=4
[tex]y_2[/tex]=12
Now substitute into the formula (remember: the formula has SUBTRACTION in it)
m=[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
m=[tex]\frac{12--6}{4--5}[/tex]
Simplify
m=[tex]\frac{12+6}{4+5}[/tex]
Add
m=[tex]\frac{18}{9}[/tex]
Divide
m=2
So the slope of the line is 2
Here is the equation so far:
y=2x+b
We need to find b
As the line will pass through both (-5, -6) and (4, 12), we can use the values of either one to solve for b
Let's take (4, 12) for instance
Substitute 4 as x and 12 as y
12=2(4)+b
Multiply
12=8+b
Subtract 8 from both sides
4=b
Substitute 4 as b in the equation
y=2x+4
Hope this helps!
Fred the farmer had a piece of land shown in which he planted vegetables.
i) calculate the length of wire needed to fence the garden if he plans to put two layers of wire around the garden.
ii) what is the area of the vegetable garden?
Answers
Answer:
i) 154m
ii) 495m^2
Step-by-step explanation:
2 layers around the garden = 2*perimeter = 2(10+20+12+35) = 2(77) = 154
shape is a trapezium, area = h(a+b)/2 = 18(20+35)/2 = 495
(x/4) + (2x/7 =135 solve it
Answers
Answer:
the ans is 252................
Working at home: According to the U.S Census Bureau, 41% of men who worked at home were college graduates. In a sample of 506 women who worked at home, 166 were college graduates. Part: 0 / 30 of 3 Parts Complete Part 1 of 3 (a) Find a point estimate for the proportion of college graduates among women who work at home. Round the answer to at least three decimal places. The point estimate for the proportion of college graduates among women who work at home is .
Answers
Solution :
a). The point estimate of proportion of college graduates among women who work at home,
[tex]$\hat p =\frac{166}{506}$[/tex]
= 0.3281
99.5% confidence interval
[tex]$=\left( \hat p \pm Z_{0.005/2} \sqrt{\frac{\hat p (1- \hat p)}{n}} \right)$[/tex]
[tex]$=\left( 0.3281 \pm 2.81 \sqrt{\frac{0.3281 \times (1- 0.3281)}{506}} \right)$[/tex]
[tex]$=(0.3281 \pm 0.0586)$[/tex]
[tex]$=(0.2695, 0.3867)$[/tex]
Find the area of the circle. Use 3.14 for it. E d = 10 cm A = [?] cm2 A=7tr2
Answers
Answer:
A=(78.5)cm²
Step-by-step explanation:
d=10
r=10/2=5
A=πr²
A=3.14*5²
A=3.14*25
A=78.5cm²
Answer: d=10cm
According to the formula i.e. A=πr²
first we need 'r'
as r=d/2
hence, r= 10cm/2
r=5cm
put r=5 in formula
=3.14(5cm)²
=3.14×25cm²
=78.5cm²
Find a polynomial function of degree 4 with - 3 as a zero of multiplicity 3 and 0 as a zero of multiplicity 1.
The polynomial function in expanded form is f(x) =
(Use 1 for the leading coefficient.)
Answers
Answer:
[tex]f(x) = x^4 + 9x^3 + 27x^2 + 27x[/tex]
Step-by-step explanation:
Zeros of a function:
Given a polynomial f(x), this polynomial has roots [tex]x_{1}, x_{2}, x_{n}[/tex] such that it can be written as: [tex]a(x - x_{1})*(x - x_{2})*...*(x-x_n)[/tex], in which a is the leading coefficient.
- 3 as a zero of multiplicity 3
So
[tex]f(x) = (x - (-3))^3 = (x + 3)^3 = x^3 + 9x^2 + 27x + 27[/tex]
0 as a zero of multiplicity 1.
So
[tex]f(x) = x(x^3 + 9x^2 + 27x + 27) = x^4 + 9x^3 + 27x^2 + 27x[/tex]
(Use 1 for the leading coefficient.)
Multiply the polynomial by 1, so it stays the same. The polynomial in expanded form is:
[tex]f(x) = x^4 + 9x^3 + 27x^2 + 27x[/tex]
m∠AFD=90° . m∠AFB=31°. Find m∠DFE.
A. 87
B. 29.5
C. 31
D. 28
Answers
Answer:
D. 28
Step-by-step explanation:
Given:
m∠AFD = 90°
m∠AFB = 31°
Required:
m∠DFE
Solution:
m<AFB = m<CFD (both angles are marked as congruent angles)
Since m<AFB = 31°, therefore,
m<CFD = 31°
m<AFB + m<CFD + m<BFC = m<AFD
Plug in the known values
31° + 31° + m<BFC = 90°
62° + m<BFC = 90°
Subtract 62° from each side
m<BFC = 90° - 62°
m<BFC = 28°
m<BFC = m<DFE = 28° (both angles are marked congruent to each other)
Therefore,
m<DFE = 28°
Which is equivalent to 10’6
Answers
Answer:
35/5 (if you mean 10.6)
1000000 (if you mean 10 to the sixth power)
0.000001 (if you mean 10/6)
Answer:
There are 126 inches in 10'6
Step-by-step explanation:
take our feet and multiply the value by 12
To solve the system of linear equations 3 x minus 2 y = 4 and 9 x minus 6 y = 12 by using the linear combination method, Henry decided that he should first multiply the first equation by –3 and then add the two equations together to eliminate the x-terms. When he did so, he also eliminated the y-terms and got the equation 0 = 0, so he thought that the system of equations must have an infinite number of solutions. To check his answer, he graphed the equations 3 x minus 2 y = 4 and 9 x minus 6 y = 12 with his graphing calculator, but he could only see one line. Why is this?
A. because the system of equations actually has only one solution
B. because the system of equations actually has no solution
C.because the graphs of the two equations overlap each other
D. because the graph of one of the equations does not exist
Answers
9514 1404 393
Answer:
C. because the graphs of the two equations overlap each other
Step-by-step explanation:
When a system of linear equations has an infinite number of solutions, the equations are "dependent." That means they both describe the same line. The graph will appear to be one line because the lines overlap each other.
__
Additional comment
The Desmos graphing calculator lets the texture of the graph be varied, so we can see that the two lines overlap. In the attached, one equation is graphed as a dotted red line, the other as a solid blue line.
The physical plant at the main campus of a large state university recieves daily requests to replace fluorescent lightbulbs. The distribution of the number of daily requests is bell-shaped and has a mean of 45 and a standard deviation of 3. Using the empirical rule, what is the approximate percentage of lightbulb replacement requests numbering between 42 and 45?
Do not enter the percent symbol.
ans = %
Answers
Answer:
34%
Step-by-step explanation:
Given that the distribution of daily light bulb request replacement is approximately bell shaped with ;
Mean , μ = 45 ; standard deviation, σ = 3
Using the empirical formula where ;
68% of the distribution is within 1 standard deviation from the mean ;
95% of the distribution is within 2 standard deviation from the mean
Lightbulb replacement numbering between ;
42 and 45
Number of standard deviations from the mean /
Z = (x - μ) / σ
(x - μ) / σ < Z < (x - μ) / σ
(42 - 45) / 3 = -1
This lies between - 1 standard deviation a d the mean :
Hence, the approximate percentage is : 68% / 2 = 34%
If Maya has 5 more than twice as many candies as Katie, which of the following expressions shows the number of candies Maya has?
5c + 2, where c is the number of candies Katie has
5c + 2, where c is the number of candies Maya has
2c + 5, where c is the number of candies Maya has
2c + 5, where c is the number of candies Katie has
Answers
Answer:
2c + 5, where c is the number of candies Katie has
Step-by-step explanation:
Let c represent the number of candies that Katie has.
Maya has 5 more than twice as many candies as Katie.
Twice as many candies as Katie can be represented by 2c, and 5 more than this can be represented by 2c + 5.
So, the expression for the number of candies Maya has is 2c + 5.
Answer:
2c + 5, where c is the number of candies Katie has
Step-by-step explanation:
I took the test.
Needddd annnsssweeerrr
Answers
Answer:
90in2
Step-by-step explanation:
3x5x6=90
Answer:
C.90
Step-by-step explanation:
first multiply 3 and 5 which is 15 then times it with 6 which equals 90
represent (-12)+(-8)+14 on a number line
Answers
Answer:
-6
Step-by-step explanation:
(-12)+(-8)= -20
-20+14= -6
w^2+2w-42=0
what is the width and the length
Answers
Answer:
answers in the explanation cz I'm too lazy to type :(
not entirely sure tho
Step-by-step explanation:
w²+2w-42=0
*quadratic formula*
w= -1+ square root 43 m
or w= -1- square root 43 m
then since the length is 2m more than w
add 2 to both answers
l= 1+ square root 43 m
l=1- square root 43 m
9514 1404 393
Answer:
width: 5.557 mlength: 7.557 mStep-by-step explanation:
Given:
a rectangular patio of width w meters, length w+2 meters, and area 42 m²
Find:
width and length
Solution:
The area is ...
A = LW
42 = w(w +2)
43 = w² +2w +1 . . . . . . add 1 to complete the square
√43 = w+1
w = √43 -1 ≈ 5.557 . . . meters
l = w+2 = √43 +1 ≈ 7.557 . . . meters
The width and length of the patio are 5.557 m and 7.557 m, respectively.
I don’t understand these 3 questions and I need help.
Answers
For question 39 the answer is c
Answer:
1: A=1
2: -3
3: C
Step-by-step explanation:
1: If 3x+4 is a factor, then -4/3 is equal to x. Substitute it in for x and solve for a. This gives us A=1.
For the commenter not understanding how I got -4/3: 3x+4 being a factor means that it equals 0. It might help you understand this if you remember that after factoring, like I did for 38 in my photo, we take expressions like x-4 and set them equal to 0 to get x=4, a solution. So, subtract 4 from both sides to get 3x=-4, then divide both sides by 3 to get x alone. Thus, x=-4/3.
2: To find the sum, we first need to find the two solutions. We can factor to get (x+7)(x-4). This gives us x=-7 and x=+4. The solution of these two would be (-7)+4 is -3.
3: B is a close answer, but the signs are wrong on the bottom. Factoring the question would give us 2(x-2) / 2(x^2-x-2). Factoring that equation is 2(x-2) / 2(x+1)(x-2). Simplifying this gives us 1 / x+1.
Sorry for the bad penmanship, I wanted to make it a little clearer for you! I really hope I helped! :)
PLEASE HELPPPPP!!!! (answer in decimal)
Answers
Answer:
[tex]\approx 0.482659[/tex]
Step-by-step explanation:
The experimental probability is the chance of an event happening based on data, or rather the experiment results, and not on a theoretical calculation. In essence, a theoretical calculation can be described by the following formula:
[tex]\frac{desired}{total}[/tex]
However, the experimental probability can be described with the following formula:
[tex]\frac{number\ of\ desired\ outcomes}{number\ of \ trials}[/tex]
The number of trials is the sum of the number of outcomes. In this case, the desired outcome is tails. Therefore, the experimental probability can be described using the following formula:
[tex]\frac{tails}{total}[/tex]
One can also rewrite the formula as the following. This is because the total is the sum of the number of the two outcomes:
[tex]\frac{tails}{heads+tails}[/tex]
Substitute,
[tex]\frac{167}{167+179}[/tex]
Simplify,
[tex]\frac{167}{346}[/tex]
Rewrite as a decimal:
[tex]\approx 0.482659[/tex]
I need help answering this question thank guys
Answers
You get: 12^1 which = 12
What number should be added to -3/2 to get -5/8
Answers
Answer: 7 / 8 should be added
Step-by-step explanation:
Let x be the number that should be added
Write the equation
-3/2 + x = -5/8
Add -3/2 on both sides
-3/2 + x + 3/2 = -5/8 + 3/2
x = -5/8 + 3/2
Change the denominator of 3/2 to 8 in order to do addition
x = -5/8 + 12 / 8
x = 7 / 8
Hope this helps!! :)
Please let me know if you have any questions
f(x)=4(2)^x
what would a graph of this look like?
Answers
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Answer:
see attached
Step-by-step explanation:
A graphing calculator can do a nice job of showing you what the graph looks like.
The initial factor of 4 is the value when x=0, the y-intercept. The base of 2 tells you the function value is multiplied by 2 for each unit of x to the right, and divided by 2 for each unit of x to the left. (The curve quickly goes off the top of the graph.)
The horizontal asymptote is y=0, as it is for all exponential functions (that have not been translated).
What is the distance between the following points?
Will give brainliest
Answers
Answer:
√65
Step-by-step explanation:
(-6,4) (-5,-4)
√(x2 - x1)² + (y2 - y1)²
√[-5 - (-6)]² + (-4 - 4)²
√(1)² + (-8)²
√1 + 64
√65
I NEED HELP PLEASE! Can someone help me with the last two red boxes please? The rest of the question is for reference. Thank you for your time!
Answers
Answer:
I think you can go with:
The margin of error is equal to half the width of the entire confidence interval.
so try .74 ± [tex]\frac{.032}{2}[/tex] = [ .724 , .756] as the confidence interval
Step-by-step explanation:
please help me out with this
Answers
Answer:
5<x<29
Step-by-step explanation:
One theorem tells us that if a triangle has two congruent sides and one of the included angle is bigger than the other, the triangle with the included angle that is bigger. has a bigger side than the other.
This is the opposite in this case. The triangles share two sides and we know that the triangle with the side length 18 has a bigger angle than the triangle with the side length 15. So this means that
[tex]48 > 2x - 10[/tex]
Let find the range of x values.
An angle cannot be negative or zero so this means that
[tex]2x - 10 > 0[/tex]
Solve for x.
[tex]2x > 10[/tex]
[tex]x > 5[/tex]
The angle cannot be bigger than 48 so
[tex]48 > 2x - 10[/tex]
Solve for x.
[tex]58 > 2x[/tex]
[tex]29 > x[/tex]
So x must be greater than 5 but less than 29.
Plot the following equation using the x- and y-intercepts.
2y+6=0
If both intercepts are zero, find at least one other point. Identify the graph of this equation.
Answers
Answer:
option 2
Step-by-step explanation:
letter A represents the decimal
Answers
Answer:
answer is 0.4
Step-by-step explanation:
What percentage of area is above the mean on a normal curve?
Group of answer choices
34%
68%
97.35%
50%
Answers
Answer:
z=0
50%
Step-by-step explanation:
Solve the above quadratic equation
Answers
Answer:
r = 1
Step-by-step explanation:
Find the intersection.
r = 1
r = 3
r = -1
r = 1
Answer:
r=3, r=1, r= -1
Step-by-step explanation:
48r^3-144r^2-48r=-144
48r^3-144r^2-48r +144 =-144 + 144
48r^3-144r^2-48r+144=0
48(r-3)(r+1)(r-1)
r-3=0 r+1=0 r-1=0
r=3, r=1, r= -1
