Answers
The measure of the exterior angle of the triangle is 139°.
What is an exterior angle theorem?The exterior angle theorem states that the measure of an exterior angle is equal to the sum of the measures of the two remote interior angles of the triangle.
From the two given angles are 75° and 64° and exterior angle is 2.
Now, ∠2=75°+64°
∠2=139°
Therefore, the measure of the exterior angle of the triangle is 139°.
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Related Questions
What is the value of k in the quadratic polynomial 3x2 2kx 3 if X − 12 is one of the zeroes of it?
Answers
The values of k are 3, – 3 for which roots of the quadratic equation are real and equal.
What is a quadratic equation?
An equation containing one term in which the unknown is squared and no term in which it is raised to a power higher than 2.
Given: 3x² + 2kx + 3 = 0
Comparing with standard quadratic equation ax² + bx + c = 0
a = 3 b = 2k c = 3
Given that the roots of the equation are real and equal
Thus, D = 0
Discriminant D = b² – 4ac = 0
(2k)² – 4.3.3 = 0
4k² – 36 = 0
4k² = 36
k² = 9 taking square root on both sides
k = 3 or k = – 3
Hence, The values of k are 3, – 3 for which roots of the quadratic equation are real and equal.
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Some girls are standing in a circle. The teacher makes them do a headcount. Bianca says one, her neighbour says two and so on. If they count in a clockwise direction, Antonia says five. If they count in an anticlockwise direction, Antonia says eight. How many girls are forming the circle?
Answers
Answer:
11
Step-by-step explanation:
See the attached image: the outer numbers count girls clockwise, showing Antonia at point J. The inner numbers show counting anticlockwise, showing Antonia as number 8, then continuing the count past her.
Aha! The inner and outer numbers always sum to 13.
But anticlockwise #12 really counted herself as #1 (she's being counted twice), so there aren't 12 girls, there are 11.
If you're not convinced, draw a picture with, say, 5 girls in it, number them counting both ways.
A produce manufacturer fills bags of baby carrots by weight. Each bag is supposed to have 12 ounces of baby carrots. Unfortunately, 3% of the baby carrots are discolored. Let X represent the number of discolored baby carrots in a bag.
Are the conditions for a binomial setting in this scenario met?
No, there is no fixed number of baby carrots.
Yes, all four conditions in BINS have been met.
No, we are sampling the carrots without replacement.
No, 3% is a very small probability, so we should not carry out a binomial procedure.
Answers
Answer:
It is A) No, There is no fixed number of baby carrots.
edge 100%
Step-by-step explanation:
help fast plss i have 0 brain cells to do this
Answers
Answer:
-3x3x-3x-3
Get yourself some braincells in the future, please.
Please help me!! Find the area of the circle:)
Answers
Answer:
2.46
Step-by-step explanation:
Answer:
[tex]A=283.528736986[/tex]
Step-by-step explanation:
The formula for the area of a circle is:
[tex]A=\pi \times r^2[/tex]
Remember that the radius is half the diameter, we are given the diameter which is 19, which means we need to find the radius:
[tex]d=19[/tex]
[tex]19\times\frac{1}{2} =9.5[/tex]
[tex]r=9.5[/tex]
Substitute and solve:
[tex]A=\pi \times9.5^2[/tex]
[tex]9.5^2=9.5\times9.5=90.25[/tex]
[tex]\pi \times90.25=283.528736986[/tex]
[tex]A=283.528736986[/tex]
Since the question doesn't say to round the area is "283.528736986."
Hope this helps.
Lia bought 4 3/5 pound of trail mix. She gave 3/5 of it to her iter. How much did give away?
Answers
Lia gave away 3/5 of the trail mix, which is equal to 2 2/5 pounds.
Lia bought 4 3/5 pounds of trail mix. She gave 3/5 of it to her iter.Since Lia bought 4 3/5 pounds of trail mix, we can express this as 4 + 3/5 pounds, or 9/5 pounds.
To find out how much trail mix Lia gave away, we can multiply 9/5 by 3/5.
3. 3/5 multiplied by 9/5 is equal to 27/25.
To simplify this fraction, we can divide both the numerator and denominator by 3.
27/25 can be simplified to 9/5 or 2 2/5 pounds.
Therefore, Lia gave away 2 2/5 pounds of the trail mix.
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4/9 = ?/?
+ 5/18 = ?/?
___________
?/?
Answers
Answer:
+6/27=?/?
Step-by-step explanation:
+6/27=?/? will be the next number as the patter keeps increasing the numerator by 1 and denominator by 9
N 2003, an organization surveyed adult Americans and asked about a certain war, "Do you believe the United States made the right or wrong decision to use military force?" Of the adult Americans surveyed, stated the United States made the right decision. In 2008, the organization asked the same question of adult Americans and found that believed the United States made the right decision. Construct and interpret a 90% confidence interval for the difference between the two population proportions, .
Answers
Complete question :
In March 2003, the Pew Research Group surveyed 1508 adult Americans and asked, "Do you believe the United States made the right or wrong decision to use military force in Iraq?" Of the 1508 adult Americans surveyed, 1086 stated the United States made the right decision. In August 2010, the Pew Research Group asked the same question of 1508 adult Americans and found that 618 believed the United States made the right decision. Construct and interpret a 90% confidence interval for the difference between the two population proportions
Answer:
(0.282 ; 0.338)
We are 90% confident that the proportion of adults in the U.S who believe that the United States made the right decision in 2003 lies between 0.282 and 0.338, higher than the proportion of adult Americans in 2010 who believe the same.
Step-by-step explanation:
Given :
p = x / n
p1 = 1086/1508 = 0.72
p2 = 618/1508 = 0.41
Confidence interval :
(p1 - p2) ± margin of error
Margin of Error = Zcrit*√p1(1-p1)/n1 + p2(1-p2)/n2
Zcrit at 90% = 1.645
1 - p1 = 1 - 0.72 = 0.28
1 - p2 = 1 - 0.41 = 0.59
MOE = 1.645*√(0.72*0.28)/1508 + (0.41*0.59)/1508
MOE = 1.645 * 0.0171492 = 0.0282105
(p1 - p2) = (0.72 - 0.41) = 0.31
Lower boundary = 0.31 - 0.0282 = 0.2818
Upper boundary = 0.31 + 0.0282 = 0.3382
(0.282 ; 0.338)
We are 90% confident that the proportion of adults in the U.S who believe that the United States made the right decision in 2003 lies between 0.282 and 0.338, higher than the proportion of adult Americans in 2010 who believe the same.
The diameter of a circular pond 63 m. Find the cost of fencing the edge of the pond if the fence costs $12 per meter. (WITH STEPS)
Answers
Answer:
$37,392
Step-by-step explanation:
A = r^2 times Pi. 63 diameter = 31.5. Pi = 3.14 A = 31.5^2(992.25) = 3,115.665.
If fence cost $12 per meter, 3,115.665 is rounded to 3,116. 3,116 times 12 = $37,392
Please solve no links i will mark brailest
Answers
Answer:
oki! Mizuki here to help! 12 will be your answer!
Step-by-step explanation:
Soo... The ratio of blue to green is 4:3 right?
and there are 21 balloons!
4 + 3 is 7! So we divide 21 by 7 and get 3!
Then we multiply 3 by the number of blue balloons(aka 4) and get 12!
What are the 11 identities?
Answers
Trigonometric identities are categorized as various identities out of which 11 are ,
Sin θ = 1/Coc θCos θ = 1/Sec θ Tan θ = 1/Cot θTan θ = Sin θ/Cos θCot θ = Cos θ/Sin θSin (90 – θ) = Cos θCos (90 – θ) = Sin θTan (90 – θ) = Cot θCot ( 90 – θ) = Tan θSec (90 – θ) = Cos θCos (90 – θ) = Sec θSin (-θ) = – Sin θTrigonometric Identities are used when trigonometric functions are given in an expression. Geometrically, these identities include one or more trigonometric functions
These are the sine , cosine or the tangent functions.
There are numerous trigonometric identities relating the side length and angle of a triangle. Only the right-angle triangle has the trigonometric identities.
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WILL GIVE BRAINLIEST PLZ HELP FAST!!! Jacque estimates the square root of 125 in the following way:
√125=5√25=5∙5=25
Explain why his reasoning is incorrect.
Approximate the square root of 125 using the perfect squares approximation method. Your answer should be a mixed fraction. Make sure to show your work.
Answers
Answer:
5Step-by-step explanation:
√125/5 = √25 since 125/5 = 25√25 = 5Hopes this helps. Mark as brainlest plz!Find QR - Will mark brainliest
Answers
Answer:
26
Step-by-step explanation:
Answer:
QR = 30
Step-by-step explanation:
GHI ~ PQR means that PQR is the same shape and length ratios as GHI but is a different size.
All of the leg lengths of GHI are multiplied by something to get the leg lengths of PQR.
You're given the leg lengths 12 and 20. So you need to find out what 12 is multiplied by to get to 20. 12 * 5/3 = 20.
So multiply 5/3 by the other leg length 18.
18 * 5/3 = 30
So QR = 30
Find the approximate volume of the figure. Round to the nearest tenth if
necessary. Use 3.14
Answers
Answer:
C. 267.9^3
Step-by-step explanation:
so if you use actual pi you get 268.08^3 since I use calculators... and since were using 3.14 instead of actual pi, it makes it so the answer has to be the third option.
I hope this helps :))
What is the meaning of △?
Answers
Meaning of the △ is: the given symbol is the representation of the geometrical figure triangle.
Different symbols used to represent the different geometrical figures.The given symbol has three sides.Symbol also represents three interior angles.When three sides intersect with each other it represents the vertices.The triangle represents the 2 dimensional shape.Sum of all the measure of the three interior angles is equal to 180 degree.Symbol of triangle in the geometrical shape is given by △.There are different shape such as square, rectangle, circle and many more.Therefore, the meaning of the given symbol △ is the representation of the triangle.
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If z = 3cis30°, z3 in rectangular form is _____ +_____ i.
Answers
Z=10 3c//30
10z+70x + 17x-10z
5^3 x 7^5+9^8+0+0+0+0+0+0+(9^7x5^6)
Answers
Answer:
74,779,038,221
Step-by-step explanation:
Answer:
Step-by-step explanation:
Given
[tex]5^3*7^5+9^8+0+0+0+0+0+0+9^7*5^6[/tex]
We can eliminate all the zeroes.
[tex]5^3*7^5+9^8+9^7*5^6[/tex]
Evaluate each term.
Raise 5 to the power of 3.
[tex]125*7^5+9^8+9^7*5^6[/tex]
Raise 7 to the power of 5.
[tex]125*16807+9^8+9^7*5^6[/tex]
Raise 9 to the power of 8.
[tex]125*16807+43046721+9^7*5^6[/tex]
Raise 9 to the power of 7.
[tex]125*16807+43046721+4782969*5^6[/tex]
Raise 5 to the power of 6.
[tex]125*16807+43046721+4782969*15625[/tex]
Multiply 125 by 16807.
[tex]2100875+43046721+4782969*15625[/tex]
Multiply 4782969 by 15625.
[tex]2100875+43046721+74733890625[/tex]
Add 2100875 and 43046721.
[tex]45147596+74733890625[/tex]
Add 45147596 and 74733890625.
[tex]74779038221[/tex]
A calculator would help but here you go.
A school is arranging chairs in rows for an assembly. $11$ chairs make a complete row, and right now there are $110$ chairs total. The school wants to have as few empty seats as possible, but all rows of chairs must be complete. If $70$ students will attend the assembly, how many chairs should be removed?
Answers
The number of chairs that should be removed, for there to be as few empty seats as possible but for all rows of chairs to be complete, is 33 chairs.
How to find the chairs to be removed ?The number of chairs that make up a row is 11 chairs and there are to be 70 students in attendance. The number of rows that would take the students is therefore:
= Number of students / Number of rows
= 70 / 11
= 6. 36
= 7 rows rounded up
The number of rows needed is 7 rows which means the number of chairs would be:
= 7 rows x 11 chairs per row
= 77 chairs
The number of chairs to be removed is:
= Total chairs - Chairs needed
= 110 - 77
= 33 chairs
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What does each of these represent in this situation (0,0),(1,55), and (5,275
Answers
Hope this helps!
Line s passes through points (7, 10) and (2, 14). Line t is parallel to line s. What is the slope of line t?
Answers
Answer:
The slope of line t is -4/5.
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(14-10)/(2-7)
m=4/-5
Parallel lines have same slopes.
Please solve for the x. Thank you
Answers
The value of x will be;
⇒ x = 35
What is mean by Rectangle?A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.
Given that;
In Rectangle RSTW;
⇒ RZ = 3x + 6
⇒ SW = 7x - 23
Since, By the figure we conclude that;
⇒ 2 RZ = SW
Substitute the given values, we get;
⇒ 2 RZ = SW
⇒ 2 (3x + 6) = 7x - 23
⇒ 6x + 12 = 7x - 23
⇒ 12 + 23 = 7x - 6x
⇒ 35 = x
⇒ x= 35
Thus, The value of x = 35
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Richard has an account of -75 dollars. Which of the following equations accurately describes the size of Richards debt ?
(A.)Absolute value of (-75) meaning that Richard has a debt of 75 dollars
(B.) Absolute value of (-75) meaning that Richard has a debt of -75 dollars
(C.) -75=75 meaning that Richard has a debt of 75 dollars
(D.) Absolute value of (75)= -75 meaning that Richard has a debt of -75 dollars
Pls help me !!!!
Answers
Answer:
(A.) would be the answer.
Answer:
(A.)Absolute value of (-75) meaning that Richard has a debt of 75 dollars
Step-by-step explanation:
PLEASE HELP ASAP!!!
ABCD is an isosceles trapezoid with legs ▁AB and ▁CD, and base ▁BC.
If the length of ▁AB = -3y+54, the length of ▁BC = 5y+ 2, and the length of ▁CD is 6y + 9, find the value of y.
Answers
The value of 'y' in the isosceles trapezoid ABCD is 14 and this can be determined by using the properties of isosceles trapezoid.
What is Triangle ?
Triangle can be defined as which contains three sides, three angles and the sum of the angles is 180 degrees.
Given ,
ABCD is an isosceles trapezoid with legs AB and CD and base BC.
If the length of AB is (7y - 4),
the length of BC s (4y - 6),
and the length of CD is (8y - 18).
The two legs are of equal length In any isosceles trapezoid that means:
7y - 4 = 8y - 18
Add 18 on both sides in the above equation.
7y - 4 + 18 = 8y - 18 + 18
7y + 14 = 8y
Now, subtract 7y on both sides in the above equation.
7y + 14 - 7y = 8y - 7y
Simplify the above expression in order to get the value of 'y'.
y = 14
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William has 3 green shirts, 1 white shirt, and 2 blue shirts in his closet. William randomly selects 2 of these shirts from his closet. What is the probability of selecting a green shirt and a white shirt without replacement?
A. 1/9
B. 1/8
C. 1/12
D. 1/10
Answers
Answer:
d
Step-by-step explanation:
I need an answer Immediately!!!!!
Answers
Answer:
64 Is the correct answer right
A fourth degree polynomial has real roots at 0, 3, a double real root at -1, and passes through the point
(2, 12). Write the particular equation of the function
Answers
Answer:
Step-by-step explanation:
y = a * x(x - 3)(x + 1)^2
2,12 is used to find the value of a
y = a (2)(2 - 3)(2 + 1)^2
12 = a (2)(-1)(3)^2
12 = a (2) (-1) (9)
12 = - 18*a
12/-18 = a
a = - 2/3
y = (-2/3)*x*(x - 3)(x + 1)^2
NEED HELP ASAP, VERY IMPORTANT PLEASE ANSWER CORRECTLY!!
Use a graphing calculator to sketch the graph of the quadratic equation, and then state the domain and range.
y=-5x^2+3x+10
Answers
Answer:
Is this what you wanted
Step-by-step explanation:
HELP HELP HELP HELP HELP HELP ME PLEASE 20 POINTS
Answers
Answer:
Step-by-step explanation:
The y intercept is (0,5)
The slope is found from choosing 2 points on the line. My choice is (4,13) and (0,5)
x2 = 4
x1 = 0
y2 = 13
y1 = 5
slope = (y2 - y1)/(x2 - x1)
slope = (13 - 5)/(4 - 0) = 8/2 = 4
If I'm right answers A and D are both wrong. We don't know exactly what the 5 represents. I would say it is the beginning number of songs she knows when she starts graphing. In any event, B is not the answer.
That leaves C.
y = 2x + 5
x = 20
y = 2*20 + 5
y = 45
(20,45) is on the line
HELPPPPPP PLEASEeeeeeeeeeeeeee
Answers
Answer: 5$ for 52 days
Step-by-step explanation: (5 x 52) + 90 = 350
1 kilogram is equivalent to about 2.2 pounds. An orangutan weighs 142 pounds. What is its mass in kilograms?
Answers
In response to the question, we may say that As a result, the orangutan's expression mass in kilogrammes is roughly 64.55 kg.
what is expression ?An expression in mathematics is a collection of representations, numbers, and conglomerates that mimic a statistical correlation or regularity. A real number, a mutable, or a mix of the two can be used as an expression. Mathematical operators include addition, subtraction, fast spread, division, and exponentiation. Expressions are widely used in arithmetic, mathematics, and shape. They are employed in the depiction of mathematical formulas, the solving of equations, and the simplification of mathematical relationships.
To convert pounds to kilogrammes, divide the pound weight by the conversion ratio of 2.2.
Hence, to calculate the orangutan's mass in kilos, do the following:
Divide the orangutan's weight in pounds by the conversion ratio of 2.2:
142 pounds divided by 2.2 is 64.54545... kilos (rounded to the nearest hundredth)
As a result, the orangutan's mass in kilogrammes is roughly 64.55 kg.
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