Given: WA = NO, WS = NT, W = N.
A)SSS
B) SAS
C) ASA
D)AAS
Answers
Answer with explanation:
It is given that ,
In two triangles, ΔWAS and ΔNOT
1. WA = NO
2. W S = NT
3. ∠W=∠N
≡ΔWAS ≅ ΔNOT
The Angle is included between two sides .
So,these two triangles are congruent by ,SAS.
Option B:→ S AS
Related Questions
Which of the following is a solution to the inequality y < –2x + 3?
A. (1,1)
B. (3,0)
C. (-3,10)
D. (0,0)
Please select the best answer from the choices provided
Answers
y < -2x +3
A. (1, 1) → x = 1, y = 1
substitute:
1 < -2(1) + 3
1 < 1 FALSE
B. (3, 0) → x = 3, y = 0
substitute
0 < -2(3) +3
0 < -3 FALSE
C. (-3, 10) → x = -3, y = 10
substitute
10 < -2(-3) +3
10 < 9 FALSE
D. (0, 0) → x = 0, y = 0
substitute
0 < -2(0) + 3
0 < 3 CORRECT
Answer: D. (0, 0)
PLZ HELP I NEED THIS TODAY!!!!Write an expression for the perimeter of the triangle shown below: A triangle is shown with side lengths labeled 2.3x plus 14, 2x, and negative 0.2x plus 15.
Answers
P = a + b + c, where a, b, and c are sides of the triangle.
Here is:
a = 2.3 x + 14, b = 3 x and c = - 0.2 x + 15
P = ( 2.3 x + 14 ) + 2 x + ( - 0.2 x + 15 ) =
= 2.3 x + 14 + 2 x - 0.2 x + 15 = 4.1 x + 29
Answer: The perimeter of the triangle is 4.1 x + 29
What is the 32nd term of the arithmetic sequence where a1 = −32 and a9 = −120?
Answers
[tex]d = \frac{a_{n}-a_{m}}{n-m} [/tex] ⇒
[tex]d = \frac{-120-(-32)}{9-1} = \frac{-88}{8} = -11[/tex]
now, when we know d, we can find the 32nd term by using a following formula:
[tex]a_{n}=a_{1}+(n-1)*d[/tex]
[tex]a_{32} =-32+31*(-11) = -32-341 = -373[/tex]
the answer is [tex]a_{32} = -373[/tex]
Answer:
-373
Step-by-step explanation:
A
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A line with a slope of 0 passes through the point (0, -5) . what is its equation i n slope -intercept form?
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If vertex T' is at (2,-2) what are the coordinates of vertex s
Answers
In which one of the above figures is AB = AC?
A. Figure B
B. Figure C
C. Figure A
D. Figure D
Answers
Answer: The answer is (D). the image is attached.
Step-by-step explanation: We are given four figures from which we are to select the one with AB = AC.
In figure (A), AB and AC are two chords of the circle with common point A. Since the lengths of two chords of a circle may not be equal, so AB may not be equal to AC. This option is not correct.
In figure (B), AB is a tangent at point B and AC is the extension of a chord which meets the tangent AB at point A. Since the lengths of AB and AC may not be equal, so this option is also incorrect.
In figure (C), AB and AC are extensions of two chords which meets at point A outside the circle, so they may not be congruent. So, this option will also not work.
In figure (D), AB and AC are two tangents from a common point A to the circle at B and C respectively.
We have the Two-Tangent Theorem which states that if two tangent segments are drawn to one circle from the same external point, then they are congruent.
So, we have AB ≅ AC.
Thus, (D) is the correct option.
How to factor x^2+27
Answers
If you know complex, than:
x²+27=x²-i²*3*9=(x-i*3√3)(x+i*3√3)
Prove or disprove the identity. If you find the identity is true, state the first line of the proof. If you find the identity is false, write the correct equation by replacing the right side.
sin x cos x tan x cot x = 1
A) the identity is true. sin x cos x tan x cot x = cos x
B) the identity is true. sin x cos x tan x cot x = sin x tan x
C) the identity is false. sin x cos x tan x cot x = sin x cos x
D) the identity is false. sin x cos x tan x cot x = sin x
Answers
Change to sin's cos's:-
= sin x cos x sin x cos x
------- -------
cos x sin x
= sin x cos x
C is correct
Final answer:
The identity sin x cos x tan x cot x = 1 is false. By using the definitions of tan and cot, we can show that sin x cos x tan x cot x simplifies to sin x cos x.
Explanation:
The student has asked to prove or disprove the identity sin x cos x tan x cot x = 1. To verify this identity, we need to remember the definitions of the trigonometric functions. The tangent (tan) of an angle is the ratio of the sine (sin) to the cosine (cos) of that angle, and the cotangent (cot) is the reciprocal of the tangent.
Therefore, tan x = sin x / cos x, and cot x = cos x / sin x. When we multiply tan x by cot x, we get:
tan x × cot x = (sin x / cos x) × (cos x / sin x) = 1
Now, multiplying this result by sin x cos x gives:
sin x cos x tan x cot x = sin x cos x × 1 = sin x cos x
Therefore, the correct equation is sin x cos x tan x cot x = sin x cos x, which means the correct answer is:
(C) the identity is false. sin x cos x tan x cot x = sin x cos x
Evaluate the function rule for the given value. Y=12×3^x for x=-2
Answers
3^-2= 1/(3^2)
3^-2=1/9
Now plus this value in to the rest of the equation.
y=12*1/9
12/9 simplifies to 4/3
y=4/3
Answer:
The value of function at x = -2 is [tex]\frac{4}{3}[/tex].
Step-by-step explanation:
Given : Function [tex]Y=12\times 3^x[/tex]
We have to evaluate the given function at x = - 2
Consider the given function [tex]Y=12\times 3^x[/tex]
Since, y is a function in terms of x.
So, put x = - 2 in given function.
We get,
[tex]Y=12\times 3^{-2}[/tex]
Since, [tex]3^{-2}=\frac{1}{3^2}=\frac{1}{9}[/tex]
[tex]Y=12\times \frac{1}{9}[/tex]
Simplify, we have,
[tex]Y=\frac{4}{3}[/tex]
Thus, The value of function at x = 2 is [tex]\frac{4}{3}[/tex].
the line of best fit drawn on a scatter plot ____
A. is a line that goes through each data plot.
B. always has a positive slope.
C. is a line drawn through the first and last points.
D. approximates the linear relationship of the data.
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A golfer would like to test the hypothesis that the variance of his golf score equals 10.0. a random sample of 28 rounds of golf had a sample standard deviation of 3.5. what is the number of degrees of freedom for this hypothesisâ test?
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for Normal Distribution test, we do not need to find a degree of freedom
for T-test and Chi-Square test, we do n - 1 to find the degree of freedom, where 'n' is the sample size.
if we have two different sample size, then the degree of freedom is given by (n₁ + n₂) - 2
We are given only one sample size, n = 28, hence the degree of freedom is 28 - 1 = 27
HELP PLEASE..answer fast please and show all work and explain how to solve
Answers
The mass of mercury is 330,200,000,000,000,000,000,000 kilograms. how can this number be written in scientific notation?
Answers
Final answer:
The mass of mercury, 330,200,000,000,000,000,000,000 kg, can be written in scientific notation as 3.302 × 10²⁰ kg. Scientific notation helps to express very large numbers in a more manageable form, using a coefficient between 1 and 10 multiplied by a power of ten.
Explanation:
To write the mass of mercury in scientific notation, we need to express it as a number between 1 and 10 multiplied by a power of ten. The mass given is 330,200,000,000,000,000,000,000 kilograms, which can be written as 3.302 × 10²⁰. Since there are 20 digits to the right of the first digit (3), the exponent in the scientific notation will be 20.
In scientific notation, the mass of mercury is thus written as 3.302 × 10²⁰ kg.
When converting to scientific notation, we use multiplication and division techniques to adjust the original number, so the resulting coefficient is a value from 1 up to, but not including, 10. This method is commonly used by scientists and astronomers when dealing with astronomical numbers, as in this case with the mass of a planet or in chemistry with the mass of an atom.
A runner is running 5 miles per hour. how many feet is the runner running per second.
Answers
73.33.
Lana Powell has cumulative earnings of $110,000 at the end of September. In the first week in October she earns $2,000. The amount deducted for Social Security and Medicare from her check is (assume Social Security rate of 6.2% on $110,100 and Medicare of 1.45%):
Answers
Answer:
Lana Powell has cumulative earnings of $110,000 at the end of September. In the first week in October she earns $2,000. The amount deducted for Social Security and Medicare from her check is (assume Social Security rate of 6.2% on $110,100 and Medicare of 1.45%):
Step-by-step explanation:
In the first week of October on the $ 2,000, we must deduct the two expenses, that of 6.2% and 1.45%, and then add them between them and subtract them from the $ 2000.
It would be the following: 2000 x 6.2% = $ 124; 2000 x 1.45% = 29; 124 + 29 = $ 153 is the amount to be deducted from the $ 2,000; $ 2000 - $ 153 = $ 1847.
Lana Powell's paycheck for the first week in October would have $124 deducted for Social Security and $29 for Medicare, resulting in a total deduction of $153. Her cumulative earnings are not considered here as she has exceeded the earnings threshold of $110,100 for Social Security tax.
Explanation:Lana Powell's earnings for the first week in October are subject to deductions for Social Security at a rate of 6.2% and Medicare at a rate of 1.45%. To calculate these deductions, you multiply her weekly earnings by the respective rates:
Social Security deduction = $[tex]2000*6.2/100 = $124[/tex]Medicare deduction = $[tex]2000*1.45/100 = $29[/tex]Therefore, the total amount deducted from Lana Powell's paycheck for Social Security and Medicare is $124 + $29 = $153.
Note that you do not consider her cumulative earnings in this case. The Social Security tax is applicable only up to a wage base limit of $110,100 and since her cumulative earnings have already exceeded this limit, she would not be paying any additional Social Security tax beyond this earnings threshold.
Learn more about Payroll tax calculations here:https://brainly.com/question/9497135
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A box has dimensions of 17 inches long.1.3 feet wide, and 8 inches high. What is the valine of the box? The formula for the volume is V = l• w •h.
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convert the feet to inches so all 3 dimensions are in the same measurement
1.3 x 12 = 15.6 inches
now multiply them all
17 x 15.6 x 8 = 2121.6 cubic inches
round the answer if you need to
2. Richmond Appliance repairs washing machines. The revenue that the company earns is given by the function R(h) = 20 + 45h dollars for every h hours spent repairing washing machines. The company’s overhead cost is given by the function C(h) = 5h2 – 30 dollars. For what number of hours does the company break even? Show your work.
Answers
[tex]R(h)=C(h)[/tex]
[tex]20+45h= 5h^{2}-30 [/tex], rearranging to make the equation 'zero' on LHS
[tex]0= 5h^{2}-30-20-45h [/tex]
[tex]0= 5h^{2}-45h-50 [/tex], divide each term by 5
[tex]0= h^{2}-9h-10 [/tex], factorise
[tex]0=(h+1)(h-10)[/tex], equate each factor to zero
[tex]h=-1 [/tex] and [tex]h=10[/tex]
We choose the positive value of [tex]h[/tex]
Hence, the number of hours needed to break even is [tex]h=10[/tex]
Answer:
The number of hours needed for the company to break even happens when
, rearranging to make the equation 'zero' on LHS
, divide each term by 5
, factorise
, equate each factor to zero
and
We choose the positive value of
Hence, the number of hours needed to break even is
Step-by-step explanation:
Find the zeros of the function. f(x) = 4x3 - 12x2 - 40x
Answers
4x (x^2 - 3x - 10) = 0
4x(x - 5)(x + 2) = 0
4x = 0 so x = 0
x - 5 = 0 so x = 5
x+2 = 0 so x = -2
zeros are -2, 0 and 5
The point-slope form of the equation of the line that passes through (–9, –2) and (1, 3) is y – 3 = 1/2 (x – 1). What is the slope-intercept form of the equation for this line?
Answers
[tex]y-3= \frac{1}{2} (x-1)[/tex]
[tex]y-3= \frac{1}{2}x- \frac{1}{2} [/tex]
[tex]y= \frac{1}{2} x- \frac{1}{2} +3[/tex]
[tex]y= \frac{1}{2} x- \frac{1}{2} + \frac{6}{2} [/tex]
[tex]y= \frac{1}{2} x+ \frac{5}{2} [/tex]
Answer:
[tex]y=\frac{x}{2}+\frac{5}{2}[/tex]
Step-by-step explanation:
Hello
thanks for asking this question, I think I can help you with this
if you have the point-slope form of the equation of a line, just isolate "y" to find the slope-intercept form
Step 1
[tex]y-3=\frac{1}{2} (x-1)\\\\y-3=\frac{x}{2}-\frac{1}{2} \\Add\ 3\ in\ both sides\\\\y-3+3=\frac{x}{2}-\frac{1}{2} +3\\y=\frac{x}{2}-\frac{1}{2}+3\\y=\frac{x}{2}+\frac{5}{2}[/tex]
so the answer is
[tex]y=\frac{x}{2}+\frac{5}{2}[/tex]
where 1/2 is the slope, and 5/2 is the intercept with y-axis
I really hope it helps , Have a great day.
Samantha loves to download new music. She originally had 52 songs but plans to purchase 2 new songs each week. She wants to know how many songs she will have after 93 weeks. Which equation should she use?
a93 = 93 + 2(52 − 1)
a93 = 93 + 2(52 + 1)
a93 = 52 + 2(93 + 1)
a93 = 52 + 2(93 − 1)
Hint: It's either A, B, C, or D
Answers
a(n)=a+d(n-1), where a=initial value, d=common difference.
In this case a=52 and d=2, so our formula is:
a(n)=52+2(n-1) and if we are looking for the 93 term we have
a(93)=52+2(93-1)
Use allfour operations only once without parentheses to write an expression that has a value of 100 only using 3's
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There are a lot of ways to write an expression using only 3 to get an answer of 100. Some examples are:
1st example:
3 / 3 + 3 * 3 * 3 * 3 * 3 * 3 * 3 * 3 * 3 * 3 * 3 * 3 * 3
= 1 + 99
= 100
2nd example:
3 / 3 + 3 * 3 * 3 * 3 + 3 * 3 * 3 – 3 * 3
1 + 81 + 27 – 9 = 100
7x7-9exponent x 7 7exponent
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[tex]7 * 7 ^{-9}* 7 ^{7}= \\ =7 ^{1-9+7}= \\ = 7 ^{-1} [/tex] = 1/7
Answer: 1/7
Answer:
1/7
Step-by-step explanation:
Suppose A and B are independent events if P(A) = 0.4 And P(B) = 0.1, what is P(A'uB)? APEX
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so we have, P(A∩B) = 0.4×0.1 = 0.04
P(A') = 1 - 0.4 = 0.6
This information can be represented on a Venn diagram as shown below
P(A'∪B) means the union of everything that is not A with everything that is B
P(A'∪B) = 0.06 + 0.54 + 0.04 = 0.64
Answer:0.6
Step-by-step explanation:
select all tht apply
If n-^2 = 1/16, then n could be which of the following?
-8
-4
-1/4
1/4
4
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(3x/4)>51 ( line underneath >)
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So, firstly let's multiply the fraction [tex] (\frac{4}{3} )[/tex] on your sides
[tex] \frac{4}{3} ( \frac{3}{4}x )[/tex] ← cancel this out because it would give you the quotient of [tex]1 [/tex]
[tex] \frac{4}{3} (52) [/tex] keep this because this would give you [tex]68 [/tex]
[tex]Answer: x \geq 68[/tex]
[tex]good \\ luck \\ on \\ your \\ assignment \\ \\ \\ \\ Enjoy \\ your \\ day \\ \\ \\ \\ MeIsKaitlyn :) [/tex]
(02.07)Solve for L: A = L ⋅ W ⋅ H
Answers
/WH = L
Therefore L = A / WH
Let's solve for l.a=lwhStep 1: Flip the equation.hlw=aStep 2: Divide both sides by hw.hlw/hw=a/hwl=ah/w
what is the solution to y=x+16 and y=-x+4??
Please show work and explanation in how its done...
so i can understand better cause I'm new to these problems...
so i can get all the help i can get (:
Answers
y=-x+4
All you have to do is substitute.
Put the second equation into the first equation.
-x + 4 = x + 16
4 = 2x + 16
-12 = 2x
-6 = x
Now substitute the x into one of the equations to get y.
y = (-6) + 16
y = 10
The solution to these equations is (-6, 10).
What is the square root of 75 in simplified form?
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so yeah this is filler text
Answer:The answer is
5 3
Step-by-step explanation:
Salvage system algebraically. Show all your work in circle your answers
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2(y+2)+4y=-2
2y+4+4y=-2
6y+4=-2
6y=-6
y=-1
Plug the y value in to find x
x= (-1)+2
x=1
Final answer: (1,-1)
One way to recognize a line of symmetry is to look for a line that divides the original image into
Answers
like a square if you half it both sides equal each other but if you half a elephant then it is not equal
for example a line of symmetry fro an isosceles triangle is a line from vertex to midpoint of the opposite side.