Sarah has completed the first few steps for constructing the inscribed circle for triangle ABC. She started by constructing the angle bisectors for angles A and C. What is the name of point D?
A) centroid
B) circumcenter
C) incenter
D) orthocenter
Answers
Answer: C. incenter
Step-by-step explanation:
The incenter is referred to as the center of the incircle of a triangle. It is simply the center of a particular triangle.
It is typically formed when the three bisector angles of a particular triangle intersects. Therefore, based on the options given, the correct option is C.
Related Questions
Plot the following equation in the complex Cartesian plane: 2Re(z) m(z 2 ) −3≥ Im(iz)
Answers
The equation to plot in the complex Cartesian plane is 2Re(z) - |z²| ≥ -3Im(iz).
To plot the equation 2Re(z) - |z²| ≥ -3Im(iz) graphically, you can follow these steps:
1. Represent the complex number z in terms of its real and imaginary parts, z = x + yi, where x is the real part and y is the imaginary part.
2. Substitute the values of x and y into the equation and simplify it.
3. Separate the equation into real and imaginary parts.
4. For each part, plot the corresponding inequality on the Cartesian plane.
- For the real part, plot the inequality 2x - |(x + yi)²| ≥ -3y.
- For the imaginary part, plot the inequality 0 ≥ 0 (as -3Im(iz) = 0 for all values of x and y).
5. Determine the common region that satisfies both inequalities. This region represents the solution to the original equation.
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0.9(x+1.4)−2.3+0.1x=1.6
please help, I'm really not sure how to do this.
Answers
Answer:
x = 2.64
Step-by-step explanation:
Do the distributive property first.
0.9(x + 1.4)
0.9(x) + 0.9(1.4)
0.9x + 1.26 - 2.3 + 0.1x = 1.6
Simplify the left side by adding like terms. I'm going rewrite the equation and group the like terms together.
0.9x + 0.1x + 1.26 - 2.3 = 1.6
1x - 1.04 = 1.6
1x is the same as x, so I am going to remove the 1. Solve for x.
x - 1.04 + 1.04 = 1.6 +1.04
x = 2.64
what is the probability that a standard normal random variable will be between .3 and 3.2?
Answers
0.3814 is the probability that a standard normal random variable .
What is the probability equation?
The probability of an event occurring, or P(E), is defined as the ratio of the number of favorable outcomes to the total number of outcomes in the probability formula.
P(E) = positive outcomes/total outcomes is how it's expressed mathematically. The probability of an event occurring, or P(E), is defined as the ratio of the number of favorable outcomes to the total number of outcomes in the probability formula. Mathematically speaking, it seems as follows: P(E) stands for positive outcomes/total outcomes.
P(0.3 < z < 3.2)
= P(z < 3.2) - P(z < 0.3)
= 0.9993 - 0.6179
= 0.3814
Probability = 0.3814
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Three times a number plus two is equal to two times that same number plus 23
Answers
That the answer
The largest of the resort cities on Mexico's Pacific coast is
Veracruz
Tampico
Cancun
Acapulco
Answers
Answer:
Acapulco
Step-by-step explanation:
Which value from the set {2, 3, 6, 7} makes 3x + 5 = 11 true?
Answers
Answer:
2
Step-by-step explanation:
3 x 2 = 6 + 5 = 11
Can i have brainllest
Answer:
{2}
Step-by-step explanation:
Testing out all values:
\(3(2)+5=11\\\\6+5=11\\\\\boxed{11=11}\)
The value of 2 works for the equation given.
All other values do not work, as we will result in a contradiction.
\(3(3)+5=11\\\\9+5=11\\\\14\neq 11\\\\\\3(6)+5=11\\\\18+5=11\\\\23\neq 11\\\\\\3(7)+5=11\\\\21+5=11\\\\26\neq 11\)
Hope this helps you.
Write the equation of a line with a slope of 3 and a y-intercept of 4. Do 5p
not use spaces in your response.
*
Answers
Answer:
f(x) = 4 + 3x
Step-by-step explanation:
Determine the number of possible solutions for each triangle.
B=61 a=12 b=8
C=100 a=18 b=8
a=26 b=29 A= 58
C=70 c=24 a=25
a=14 b=12 B=90
A=107.2 a=17.2 c=12.2
C=47 a=10 c=16
b=40 a=32 A125.3
Answers
The solution is the first option given in the question:
B = 77.8°, C = 41.2°, c = 12.8; B = 102.2°, C = 16.8°, c = 5.6
Here, we have,
The Law of Sines applies to any triangle and works as follows:
a/sinA = b/sinB = c/sinC
We are attempting to solve for every angle and every side of the triangle. With the given information, A = 61°, a = 17, b = 19, we can solve for the unknown angle that is B.
a/sinA = b/sinB
17/sin61 = 19/sinB
sinB = (19/17)(sin61)
sinB = 0.9774
sin-1(sinB) = sin-1(0.9774)
B = 77.8°
With angle B we can solve for angle C and then side c.
A + B + C = 180°
C = 180° - A - B
C = 180° - 61° - 77.8°
C = 41.2°
a/sinA = c/sinC
17/sin61 = c/sin41.2
c = 17(sin41.2/sin61)
c = 12.8
The first solved triangle is:
A = 61°, a = 17, B = 77.8°, b = 19, C = 41.2°, c = 12.8
However, when we solved for angle B initially, that was not the only possible answer because of the fact that sinB = sin(180-B).
The other angle is simply 180°-77.8° = 102.2°. Therefore, angle B can also be 102.2° which will give us different values for c and C.
C = 180° - A - B
C = 180° - 61° - 102.2°
C = 16.8°
a/sinA = c/sinC
17/sin61 = c/sin16.8
c = 17(sin16.8/sin61)
c = 5.6
The complete second triangle has the following dimensions:
A = 61°, a = 17, B = 102.2°, b = 19, C = 16.8°, c = 5.6
The answer you are looking for is the first option given in the question:
B = 77.8°, C = 41.2°, c = 12.8; B = 102.2°, C = 16.8°, c = 5.6
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complete question:
Two triangles can be formed with the given information. Use the Law of Sines to solve the triangles.
A = 61°, a = 17, b = 19
B = 77.8°, C = 41.2°, c = 12.8; B = 102.2°, C = 16.8°, c = 5.6
B = 12.2°, C = 106.8°, c = 18.6; B = 167.8°, C = 73.2°, c = 18.6
B = 77.8°, C = 41.2°, c = 22.6; B = 102.2°, C = 16.8°, c = 22.6
B = 12.2°, C = 106.8°, c = 15.5; B = 167.8°, C = 73.2°, c = 15.5
A cyclist travels 6 miles in 45 minutes.
What is his average speed in mph? URGENT URGENT
Answers
Answer:
8 mph
Step-by-step explanation:
45 minutes = 6 miles
1 hour = 8 miles
write a fraction to show the value of each 9 in the decimal 0.999. how is the value of the 9 on the left related to the value of the 9 on the right? how is the value of the 9 on the rigth related to the value of the 9in the middle?
Answers
The fractions to show the value of each 9 in the decima 0.999 are 9/10, 9/100, 9/1000.
How to write decimal number in fractionTo write the fraction that shows the value of each 9 in the decimal 0.999, we can use the following method
The digit 9 in the tenths place represents 9/10 or 0.9.
The digit 9 in the hundredths place represents 9/100 or 0.09.
The digit 9 in the thousandths place represents 9/1000 or 0.009.
Thus, the fractions are
0.9 = 9/10
0.09 = 9/100
0.009 = 9/1000
The value of the 9 on the left is related to the value of the 9 in the middle by a factor of 10.
The value of the 9 on the right is related to the value of the 9 in the middle by a factor of 10, so the 9 on the right is one-tenth the value of the 9 in the middle.
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Express the distance,d, from a point on the graph x+y=2 to the point (6,8) as a function of x
Answers
Answer:
\(d=\sqrt[]{2(x^2+36^{})}\)Explanation:
Given the equation of the line as;
\(x+y=2\)We can express y in terms of x by subtracting x from both sides of the equation;
\(y=-x+2\)Let the point on the line be P(x, y)
We'll use the below distance formula to determine the distance between point P(x, y) to the given point (6, 8) as seen below;
\(d=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2}\)\(\begin{gathered} d=\sqrt[]{(6-x)^2+(8-y)^2} \\ d=\sqrt[]{(36-12x+x^2)+\lbrack8-(-x+2)\rbrack^2} \\ d=\sqrt[]{(36-12x+x^2)+(6+x)^2} \end{gathered}\)\(\begin{gathered} d=\sqrt[]{(36-12x+x^2)+(36+12x+x^2)} \\ d=\sqrt[]{72+2x^2} \\ d=\sqrt[]{2(x^2+36^{})} \end{gathered}\)-(9-15)+(-8+2)-(24-30)=
Answers
(9-15)=-6
(-8+2)=-6
(24-30)=-6
-(-6)+(-6)-(-6)= -6
If f'(c) < 0 then f(x) is decreasing and the graph of f(x) is concave down when x = c. True False Question 4 (1 point). A local extreme point of a polynomial function f(x) can only occur when f'(x) = 0. True False Question 5 (1 point) If f'(x) > 0 when x < c and f'(x) < 0 when x > c, then f(x) has a maximum value when x = C. True False
Answers
Question 3: True
Question 4: False
Question 5: True
If the derivative of a function, f'(x), is positive for values of x less than c and negative for values of x greater than c, then it indicates a change in the slope of the function. This change from positive slope to negative slope suggests that the function has a maximum value at x = c.
This is because the function is increasing before x = c and decreasing after x = c, indicating a peak or maximum at x = c.
Question 3: If f'(c) < 0 then f(x) is decreasing and the graph of f(x) is concave down when x = c.
True
When the derivative of a function, f'(x), is negative at a point c, it indicates that the function is decreasing at that point. Additionally, if the second derivative, f''(x), exists and is negative at x = c, it implies that the graph of f(x) is concave down at that point.
Question 4: A local extreme point of a polynomial function f(x) can only occur when f'(x) = 0.
False
A local extreme point of a polynomial function can occur when f'(x) = 0, but it is not the only condition. A local extreme point can also occur when f'(x) does not exist (such as at a sharp corner or cusp) or when f'(x) is undefined. Therefore, f'(x) being equal to zero is not the sole requirement for a local extreme point to exist.
Question 5: If f'(x) > 0 when x < c and f'(x) < 0 when x > c, then f(x) has a maximum value when x = c.
True
If the derivative of a function, f'(x), is positive for values of x less than c and negative for values of x greater than c, then it indicates a change in the slope of the function. This change from positive slope to negative slope suggests that the function has a maximum value at x = c. This is because the function is increasing before x = c and decreasing after x = c, indicating a peak or maximum at x = c.
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hey help me pls:^
brainlisht
Answers
Answer:
84
Step-by-step explanation:
plz mark brainliest
Answer:
the right answer of n is 84
I NEED HELP!!
I'll give you 50 points and a brainlist if you figure this out, all you have to do is to Solve the following multi-step equation, and write it out
Answers
Answer:
okay, but what is the equation?
Answer:
Alright Ima need the question
Step-by-step explanation:
Rewrite the equation using completing the square.
Answers
Answer: 8*8=64
6*6*=216
64-216+21=0
Step-by-step explanation:
a certain phone company charges $4.50 for the first five minutes of an international phone call. additional time is charged at $.50 per minute. how much would a customer be charged for an international phone call that started at 9:35 p.m. and ended at 11:15 p.m. the same day?
Answers
A customer would be charged $ 52 for an international phone call that started at 9:35 p.m. and ended at 11:15 p.m. the same day.
Charge for first 5 charged = $ 4.50
Charge for additional time = $ 0.50 per minute
Starting time = 9:35 p.m.
End time = 11:15 p.m.
Total minutes = 100 minutes
Total charge = 4.50 + (95 x 0.50)
= 4.50 + 47.50
= 52.00
Hence, a customer would be charged $ 52 for an international phone call that started at 9:35 p.m. and ended at 11:15 p.m. the same day i.e. for 100 minutes.
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Find the value of x in the triangle shown below.
x = ?
(this is another question)
Answers
Step-by-step explanation:
in a triangle = 180°
56 + 37 + x = 180
93 + x = 180
x = 180 - 93
x = 87
if jamie's quarterly interest payments are $150 on a $12,000 loan, then what is her annual interest rate?
Answers
Jamie's annual interest rate is 5%.
To find Jamie's annual interest rate, we need to consider the relationship between the quarterly interest payments and the loan amount. Let's break it down step by step:
1. We know that Jamie's quarterly interest payments are $150. Since there are four quarters in a year, the total annual interest payments can be calculated by multiplying the quarterly payments by four: $150 * 4 = $600.
2. Now, let's determine the interest rate. We have the annual interest payment, but we need to express it as a percentage of the loan amount. The formula to calculate interest rate is (Interest Payment / Loan Amount) 100.
3. Substituting the values into the formula, we have ($600 / $12,000)
100 = 0.05 100 = 5%.
Therefore, Jamie's annual interest rate is 5%.
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Help meee, What is the relationship between
Answers
Answer:
C
Step-by-step explanation:
The add to 180 because that's a straight line
Is cereal soup??????
Answers
Answer:
No it's not soup
Step-by-step explanation:
becoz it's ????
What value for k would make the following equation have all solutions? k(x - 6) = 18 - 3x
*Answer Choices*:
k = -3
k = 6
k = -6
k = 3
Answers
Answer:
Your answer is: A) k = -3
Step-by-step explanation:
Hope this helped : )
Factor as the product of two binomials. 36+12x+x^2=
Answers
Answer:
(6 + x)(6 + x) = (6 + x)²
Step-by-step explanation:
Given
36 + 12x + x²
Consider the factors of the constant term (+ 36) which sum to give the coefficient of the x- term (+ 12)
The factors are + 6 and + 6, since
6 × 6 = 36 and 6 + 6 = 12, thus
36 + 12x + x² = (6 + x)(6 + x) = (6 + x)²
Find the slope from points (9,-13), (7,-11)?
That’s what my question is
Answers
Answer:
Step-by-step explanation:
The entered points belong to an increasing, linear function.
Equation: y = 1x + 4.
The following triangles are similar. True or False.
Answers
Answer:
False.
Step-by-step explanation:
Their angles are not corresponding, they are not congruent.
Answer:
False
Step-by-step explanation:
They aren't congruent
1.
Identify the minimum value of the function y = 3x^2 − 12x + 10.
A. −2
B. 10
C. 46
D. 2
Answers
Answer:
-2
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
The minimum value is the y- coordinate of the vertex
Given a parabola in standard form
y = ax² + bx + c ( a ≠ 0 )
Then the x- coordinate of the vertex is
x = - \(\frac{b}{2a}\)
y = 3x² - 12x + 10 ← is in standard form
with a = 3 and b = - 12 , then
x = - \(\frac{-12}{6}\) = 2
Substitute x = 2 into the function for corresponding y- coordinate
y = 3(2)² - 12(2) + 10 = 3(4) - 24 + 10 = 12 - 24 + 10 = - 2
Then minimum value of the function is - 2
You have an equally likely chance of choosing any integer from 1 through 50. Find the probability of the given event. A perfect square is chosen.
Answers
Answer:
The answer is 0.02
Step-by-step explanation:
1/50=0.02
139 students choose to attend one of three after school activities: football, tennis or running.
There are 66 boys.
56 students choose football, of which 28 are girls.
54 students choose tennis.
18 girls choose running.
A student is selected at random.
What is the probability this student chose running?
Give your answer in its simplest form
Answers
= 18/139
What is 127 kg to lbs
Answers
Answer:
279.987
this is da answer
Step-by-step explanation:
There are 280.035 lbs in 127 kilograms. The answer is obtained by applying the unit conversion.
What is unit conversion?
A unit conversion is used to express the same property in a different unit of measurement. For instance, you could use minutes instead of hours to represent time or feet instead of miles to indicate distance. It commonly occurs when measurements are provided in one system of units, such as feet, but are required in a different system, such as chains.
Now,
we have been given 127 kilograms which are to be converted into pounds and to be represented in lbs.
We know that 1 kilogram = 2.205 lbs (approx)
Therefore,
⇒127 kilograms = 127 * 2.205
⇒127 kilograms = 280.035 lbs
Hence,
There are 280.035 lbs in 127 kilograms.
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In a run chart, the variable being measured is typically placed on what axis?
(A) X axis
(B) Y axis
(C) Either axis
(D) Neither axis;