Answers
Answer:
Option 4 is correct
x° + 126° = 180° and value of x is 54°
Step-by-step explanation:
Here, In a given Triangle two sides are equal i.e., Isosceles Triangle.
We know that, in a triangle the sum of all angles Is 180°.
If two sides are equal then also two angles are also equal of that sides.
Now,
63° + 63° + x° = 180°
x° + 126° = 180°
Now, To find the value of x
x° + 126° = 180°
x° = 180° - 126°
x = 54°
Thus, The value of x is 54°
FOR VERIFICATION ONLY:-x° + 126° = 180°
54° + 126° = 180°
180° = 180°
Hence, L.H.S = R.H.S
-TheUnknownScientist
Answer:
the value x is 54
I am sure
Related Questions
» How many thirds are in a whole slice of toast?
Answers
Answer:
There's going to be 3 thirds in one whole sandwich. Hope this helps
Step-by-step explanation:
Can someone help me pls
Answers
Answer:
Step-by-step explanation:
[tex]\frac{1}{2}b^{2} - 6[/tex]
[tex]\frac{1}{2}(4)^{2} - 6[/tex]
[tex]\frac{1}{2} * 16 - 6[/tex]
[tex]8 - 6[/tex]
[tex]2[/tex]
Answer:
2
Step-by-step explanation:
Plug in the value:
1/2 b² – 6
1/2 (4)² – 6
Use order of operations (PEMDAS):
There are no parentheses:
Do exponent:
1/2 (16) – 6
Then multiplication and division in the order that they come in:
8 – 6
Then addition and subtraction in the order that they come in:
2
Estimate the area of the circle. Use 7/22 for π
Answers
Answer:
Area = pi * r^2
r is half of the diameter
Area = pi * 14^2
Area = 196 pi
196 * 3.14
Area is approximately 615.44 cm^2
In a school of 1200 students, the ratio of
the number of teachers to students is 1 : 15.
After some teachers join the school, the ratio of
the number of teachers to students becomes 3:40.
Find
(i) the initial number of teachers in the school,
(ii) the number of teachers who join the school.
Answers
No. of Teachers joined = 10
Step-by-step explanation:
i)Initial School population,
given 15 units = 1200
1 unit =
[tex]1200 \div 15 \\ = 80[/tex]
Number of teachers (initial) = 1 unit = 80.
ii)take j = number of teachers joining the school.
New teacher population = 80+j
[tex] \frac{3}{43} (1280 + j) = 80 + j \\ \frac{3840}{43} + \frac{3}{43} j = 80 + j \\ j - \frac{3}{43} j = \frac{3840}{43} - 80 \\ \frac{40}{43} j = \frac{400}{43} \\ 40j = 400 \\ j = 400 \div 40 \\ = 10[/tex]
How do I find the range of this rational function, how do I do the steps in order to find it, please help!!!
Answers
Answer:
Range= (0,∞) and (-∞,0)
Step-by-step explanation:
Theres no real process to finding this out you just look at what type of function you have, your graph and your asymptote. We can see that the parts above the asymptote go up and towards ∞ and the part below goes down to -∞ but they can not cross 0
Answer:
(-infinity, -32/81] U (0, positive infintiy).
( use the sideways 8 symbol for infinity).
Step-by-step explanation:
The range is all possible y values in a function.
We can find the inverse of the function to find the range.
[tex]y = \frac{8}{ {x}^{2} - 7x - 8 } [/tex]
Replace x with y
[tex]x = \frac{8}{ {y}^{2} - 7y - 8 } [/tex]
Write the LCD as two binomial,
[tex]x = \frac{8}{(y + 1)(y - 8)} [/tex]
Multiply both sides by both binomial
[tex]x(y + 1)(y - 8) = 8[/tex]
[tex](xy + x)(y - 8) = 8[/tex]
[tex]x {y}^{2} - 8yx + xy - 8x = 8[/tex]
[tex]xy {}^{2} - 8yx + xy = 8 + 8x[/tex]
[tex]y( {x}^{2} - 8x + x) = 8 + 8x[/tex]
[tex] \frac{8 + 8x}{ {x}^{2} - 7x } [/tex]
[tex] {x}^{2} - 7x = 0[/tex]
[tex] {x}^{2} - 7x + 12.25 = 12.25[/tex]
[tex](x - 3.5) {}^{2} = 12.25[/tex]
[tex](x - 3.5) = 3.5[/tex]
[tex]x = 3.5[/tex]
Plug that in to the function to find it range.
We get approximately
[tex] - \frac{35}{81} [/tex]
So this means a point on our function must include -35/81.
The vertical asymptote is 0 so our y cannot be zero but it goes infinitely up so our range is
(-infinity, -32/81]U (0, positive infintiy).
( use the sideways 8 symbol for infinity).
A sociologist will conduct a two-sample tt-test for a difference in means to investigate whether there is a significant difference, on average, between the salaries of people with bachelorâs degrees and people with masterâs degrees. From a random sample of 32 people with a bachelorâs degree, the average salary was $55,000 with standard deviation $3,500. From a random sample of 28 people with a masterâs degree, the average salary was $58,000 with a standard deviation of $4,000. With a null hypothesis of no difference in the means, what is the test statistic for the appropriate test to investigate whether there is a difference in population means (masterâs degree minus bachelorâs degree)?
Answers
Answer:
1) H0: μ₁=μ₂ against the claim Ha: μ₁ ≠μ₂
2)The test statistic is
t= x1`-x2`/ Sp √ ( 1/n₁ + 1/n₂)
where
Sp= s₁² ( n1-1) + s₂²(n2-1) /(n1-1) + (n2-1)
3) D.f= n1+n2-2= 32+28-2= 58
Step-by-step explanation:
The null hypothesis is that there is no difference in population means (masterâs degree minus bachelorâs degree)
The claim is that there there is a difference in population means (masterâs degree minus bachelorâs degree)
1) H0: μ₁=μ₂ against the claim Ha: μ₁ ≠μ₂
2)The test statistic is
t= x1`-x2`/ Sp √ ( 1/n₁ + 1/n₂)
where
Sp= s₁² ( n1-1) + s₂²(n2-1) /(n1-1) + (n2-1)
Putting the values
Sp= 12,250,000( 31) + 16,000,000(27)/ 31+27
Sp= 379,750,000- 432,000,000/58
Sp= -52,250,000/58
Sp= -900,862.1
Now Putting the values in the t- test
t= x1`-x2`/ Sp √ ( 1/n₁ + 1/n₂)
t= 55,000- 58,000/ -900,862.1 √1/32+ 1/28)
t= -3000/ -233,120.21
t= 0.012868
3) D.f= n1+n2-2= 32+28-2= 58
for 2 tailed test the critical value of t is obtained by
t≥ t∝/2 ( d.f)=t≥ t0.025 (58)= ± 2.0017
4) Since the calculated value of t= 0.012868 does not fall in the critical region t≥ t∝/2 ( d.f)= ± 2.0017 we conclude that H0 is true and accept the null hypothesis.
5. Which of the following options is a better purchase for a microwave?
A. $20 down with equal payments of $10 for 12 weeks
B. $5 down with equal payments of $10 for 15 weeks
C. $10 down with equal payments of $5 for 24 weeks
D. $0 down with equal payments of $15 for 9 weeks
Answers
Option A gives you a total of 140.
Option B gives you a total of 155.
Option C gives you a total of 130.
Option D gives you a total of 135.
A. $20+ $10(12) = $140
B. $5 + $10(15) = $155
C. $10+ $5(24) = $130
D. $0 + $15(9) = $135
The cheaper option is Choice C.
***** Help asap! *****
Answers
X^2/3 •5x =5x^5/3
Can someone explain how the exponent is 5/3?
Answers
Find the volume of the prism
Answers
1/2 x 5 x 2 x 3
=15
Nancy bought a vase as wedding gift .The cost excluding vat was R250.How much must she pay with VAT inclusive
Answers
Step-by-step explanation:
VAT = 250*15%
VAT = 250*15/100
VAT = 37.5 therefore
total price add VAT =250+37.5
=287.5
13 inches = _/ _ ft (in fraction)
Answers
Answer:
1 1/12 ft
Step-by-step explanation:
12 inch per foot
13in - 12in = 1 in
1 in left over
1 1/12
Answer:
1ft. 1in.
6/1 is the answer
The diameter of a cylindrical water tank is 10 ft, and its height is 9 ft. What is the volume of the tank?
Use the value 3.14 for w, and round your answer to the nearest whole number.
Be sure to include the correct unit in your answer.
Answers
Answer:
225w
Step-by-step explanation:
volume formula: w*r²*9
w*5²*9
25*9w
225w
Answer: V=707
Step-by-step explanation:
The radius of a circle is 13 cm. Find its circumference in terms of pie.
Answers
Answer:
26 pi
Step-by-step explanation:
Answer:
531
Step-by-step explanation:
first the formula for finding the circumference of a circle is πr2
where π = 22/7
r = 13x13
hence, circumference = πr2
= 22/7 x 13 x 13
= 22/7 × 169
= 22 x 169/7
= 3718/7
= 531 cm
two numbers add up to 144. one number is half the square of the other number. what are the numbers
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Related questions
Circle the like terms in each expression. Then identify the coefficients of the like terms. -x^2y + (-xy) + 2xy + (-2xy^2 ) 7 + 7c + 3 + 7c^3 + (-4)
a. Design a non-recursive algorithm for computing an (discussed in the class). What is the basic operation? How many times is the algorithm's basic op
a. Design a non-recursive algorithm for computing an (discussed in the class). What is the basic operation? How many times is the algorithm's basic op
Part A: How can I write algebraic expression for 4 more than 3 times a number. (5 points) Part B: How can I write verbal expression for 2(n + 9). (5
ATTENTION - IN ALL THE QUESTIONS N=18 PLEASE MAKE SURE TO USE N=18 IN EVERY QUESTION In the problems #1a,b simplify the expressions and prese
Answers
Answer:
36 plus 36 plus 72 = 144 or 72 + 72= 144
The central limit theorem
A. states conditions under which a variable involving the sum of Y1,..., Yn i.i.d. variables becomes the Student t distribution.
B. postulates that the sample mean is a consistent estimator of the population mean.
C. only holds in the presence of the law of large numbers.
D. states conditions under which a variable involving the sum of Y1,..., Yn i.i.d. variables becomes the standard normal distribution.
Answers
Answer:
Option D (States.......distribution) is the appropriate choice.
Step-by-step explanation:
The superposition principle says that perhaps the sample distribution better reflects the regular distribution.
Because this sample size or group grows, all observations appear identical although irrespective of that same population demographics or distributions.It shows everybody precisely how the measures are to be distributed if we take a friendly reminder from some kind of population group.The latter choices should not affect the situation involved. The reaction, then, is the right one.
Z - ( -7 ) < 5 it’s solving inequalities. Help. Also 8(3g - 2) <= 12(2g + 1) pls ;-;
Answers
Answer:
z < -2
g is indeterminate
Step-by-step explanation:
For the inequality Z - ( -7 ) < 5
open the parenthesis
z+7 < 5
Subtract 7 from both sides
z+7-7 < 5-7
z < -2
For 8(3g - 2) <= 12(2g + 1)
Expand
24g -16 ≤ 24g + 12
24g - 24g ≤ 12+18
0g≤ 28
g ≤ 28/0
Hence g is indeterminate
HELP NEEDED PLSS
Given the following diagram, find the trigonometric ratios.
Leave answers as reduced fractions (improper fractions are fine).
B
sinA=
COSA =
Answers
Answer:
Sin A = 3/5
Cos A = 4/5
Step-by-step explanation:
To find trigonometric ratio, recall SOHCAHTOA.
Thus:
Reference angle = <A
Opposite side to <A = 6
Adjacent side = 8
Hypotenuse = AB = √(8² + 6²) = 10 (pythagorean theorem)
Therefore,
✔️Sin A = Opp/Hyp
Sin A = 6/10 = 3/5
✔️Cos A = Adj/Hyp
Cos A = 8/10 = 4/5
If x=7-4 √3 then find the value of (x+1/x)^2
Answers
Answer:
29.03703703
Step-by-step explanation:
7-4 √3 = 5.196152423
(5.196152423 + 0.19245009)^2
1. Noah has $15,000 to invest. He invests some amount at 5% annual interest and the rest at 3% annual
interest. After one year, his total interest from both accounts is $620.
How much did he invest in each account? (Clearly label which amount is for which account in your
answer. Hint: Over a one year period, annual interest is the same as simple interest.)
[6 pts]
Answers
Answer:
He invested $ 8500 at the interest of 5% and $ 6500 at the interest of 3%
Step-by-step explanation:
Let the sum invested at interest rate of 5% be X
Let the sum invested at interest rate of 3% be Y
As we know
[tex]X + Y = 15000[/tex] - Eq (1)
[tex]X* 5/100 *1 + Y * 3/100 * 1 = 620[/tex]
[tex]5X + 3Y = 62000[/tex] ---Eq (2)
Multiplying Eq (1) by 3 we get -
[tex]3X + 3Y = 45000[/tex]
Substract Eq (1) from Eq (2) we get
[tex]5X + 3Y = 62000\\- 3X -3Y = -45000\\2X = 17000\\X = 8500\\Y = 15000-8500 = 6500[/tex]
He invested $ 8500 at the interest of 5% and $ 6500 at the interest of 3%
Determine the Geometric mean of 18 and 27
Answers
Answer:
The geometric mean of 18 and 27 is 22.045407685
Step-by-step explanation:
I hope this helps and pls mark me brainliest :)
Answer:
22.045407685
Step-by-step explanation:
May you solve this for me?
Answers
Answer: 23.94 cm
Step-by-step explanation: I am totally not sure if this is the answer, but think of it this way: Those are 2 semi circles. The formula for the area of a semi circle is A = π * r^2 / 2. For the semi circle with 6 cm, the radius is 3. So we can plug it in the formula. 3.14 * 3^2 / 2, which is 14.13. For the semi circle with 5 cm, the radius is 2.5. Again plug it in and it will be 3.14 * 2.5^2 / 2, which is 9.8125. Then, to get the total area, add the 2 final values together. 9.8125 + 14.13, which is 23.9425. Then it said "round to the nearest hundredth if necessary. We can round to the nearest hundredth, which is 23.94, so that would be the answer. That is just my thought process.
I am not really sure if it's the answer, but take a gander at my thought process and hopefully, you can agree with me.
Find the slope of the line.
Answers
square root of 27 lies between which two natural numbers?
Answers
Answer:
5,6
Step-by-step explanation:
Answer:
5 and 6
Step-by-step explanation:
5² = 25
6² = 36
Nevaeh’s bag contains 2 red marbles, 3 blue marbles, and 5 green marbles. Nevaeh randomly selects a marble from the bag, records the color, and then puts the marble back in the bag. If she does this 150 times, how many times would she expect to select blue?
A 10 times
B 30 times
C 45 times
D 75 times
Answers
Answer:
30
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
mark me brainlest
please help me with the i-ready
Answers
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer: Graph 3
Explanation: Only one that satisfies both patterns
I hope this helped!
<!> Brainliest is appreciated! <!>
- Zack Slocum
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
help please! need asap
Answers
Answer:
2
Step-by-step explanation:
6×3÷4=2
Hope this helps you
24 13
10) Find the midpoint of a line segment AB. A(3, 10) and B (-9,3)
Answers
Answer:
(-3 ;13/2)Step-by-step explanation:
hello :
the midpoint of the line segment is : ((3-9)/2 ;(10+3)/2 )
(-3 ;13/2)
What is the area of the triangle?
Answers
1/2 x 4 x 3 = 6 units squared
9/10 divided by 3/4
3/4 divided by 9
6/9 divided by 6/7
5/6 divided by 3/10
Answers
Answer:
9/10 divided by 3/4 is 6/5
3/4 divided by 9 is 1/12
6/9 divided by 6/7 is 7/6
5/6 divided by 3/10 is 25/9 but as a mixed number it is 2 7/9