Answer:
adjacent
Step-by-step explanation:
Complementary angles add up to 90 degrees. These two do not. So they are not complementary.
Linear means they add up to 180o. (Same as supplementary). These two do not meet those conditions.
vertical angles are across from each other when two line segments or lines cross. These two do not.
The answer is adjacent. 90 <a+b<180
In this diagram, lines AB and CD are parallel. D B Angle ABC measures 35 degrees and angle BAC measures 115 degrees. a. What is m ZACD b. What is mZDCB c. What is mZACB
|CD| is parallel to |AB|
\(\angle ACD=\angle ACB+\angle DCB\)\(\begin{gathered} ACBisatriangle.Thesumofanglesinatriangleis180^o. \\ \angle ACB+\angle ABC+\angle BAC=180^o \\ \angle ACB=180^o-35^o-115^o \\ \angle ACB=30^o \end{gathered}\)Also;
\(\begin{gathered} S\text{ ince CD and AB are parallel;} \\ \angle DCB=\angle ABC\text{ (because alternate angles are equal)} \\ \angle DCB=35^o \end{gathered}\)\(\begin{gathered} \angle ACD=\angle ACB+\angle DCB \\ \angle ACD=30^o+35^o \\ \angle ACD=65^o \end{gathered}\)ANSWERS:
(a) The measured angle ACD is 65degrees
(b) The measured angle DCB is 35degrees
(c) The measured angle ACB is 30 degrees
Help me please! I can't get it wrong or I fail and I really need this before the end of the quarter next week.
Answer:
B
Step-by-step explanation:
The graph has subtracted 6 and is subtracting an additional 4.
Thus, -6 -4.
Answer: I Think the answer is A
Step-by-step explanation: I hope you get it right!
Write the function rule for this table
Answer:
f(x) = 1/2x + 2
Step-by-step explanation:
...........
Brooke plays volleyball and also plays the trumpet in the middle school band. Brooke spends two (2) hours after school participating in volleyball activities. At home, Brooke practices playing her trumpet for 1/8 of the time that spends on volleyball activities at school. How long does she practice the trumpet?
Answer:
15 minutes
Step-by-step explanation:
2 hours equals 120 minutes.
so if you divide 120 by 1/8 you get 15
which would be the amount of time she spent playing the trumpet.
Hope this helps!! :)
Allison works in a department store selling clothing. She makes a guaranteed salary of $350 per week, but is paid a commision on top of her base salary equal to 15% of her total sales for the week. How much would Allison make in a week in which she made $300 in sales? How much would Allison make in a week if she made x dollars in sales?
Answer: 395
0.15x+350
Step-by-step explanation:
Carla wants the total weight of the bags to be four pounds. If she can only pick one more bag, which bag weight should she pick? pound
Answer:
1/8
Step-by-step explanation:
To find which bag weight Carla needs, the first step is to find the total weight of the bags shown in the line plot.
There are three -pound bags.
There are six -pound bags.
There are four -pound bags.
Multiply the weight and number of each bag to find the total weight of each different weight bag.
Now, add the three totals.
Finally, subtract the total weight from four pounds in order to find which weight Carla needs.
So, Carla should pick one -pound bag of candy to total four pounds.
The purpose of statistical inference is to make estimates or draw conclusions about a _____. a. population based upon information obtained from the sample b. mean of the sample based upon the mean of the population c. sample based upon information obtained from the population d. statistic based upon information obtained from the population
a)The purpose of statistical inference is to make estimates or draw conclusions about a population based upon information obtained from the sample.
Statistical inference is the process of drawing conclusions about populations or scientific truths from data. There are many ways to make inferences, including statistical modeling, data-driven strategies, and the explicit use of designs and randomization in analyses.
Hypothesis testing is a form of statistical inference that uses data from a sample to draw conclusions about a population parameter or population probability distribution.
First, a preliminary assumption is made about the parameter or distribution. This assumption is called the null hypothesis and is denoted H0.
An alternative hypothesis (denoted Ha) is then defined, which is the opposite of what is stated in the null hypothesis. The hypothesis testing procedure involves using sample data to determine whether or not H0 can be rejected. If H0 is rejected, the statistical conclusion is that the alternative hypothesis Ha is true.
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Which expression is undefined?
ОА
A 0:6
B. 6:0
C-14:3
O 0 14 = (-3)
D
Answer:
c
Step-by-step explanation:
because it would have many solutions
what is the probability of drawing a red marble then a white marble if there are 3 red marbles and 2 white marbles
Answer:
3/5
Step-by-step explanation:
What is the area of trapezoid ABCD?
Enter your answer as a decimal or whole number in the box. Do
not round at any steps.
units²
-18 -16 -14 -12 -10
D(-13,-11)
-8
-6
A(-1,5)
4
-2
2
0
4
-6
-8
-10
-12
0/2
C (0, -2)
B(3, 2)
4
6
Given the coordinates above, the area of the trapezoid is approximately 41.
We have,
A trapezoid is a quadrilateral with at least one set of parallel sides in American and Canadian English. A trapezoid is known as a trapezium in British and other varieties of English.
For the calculation showing the above solution:
Step 1 - Given:
A = (-3,2)
B = (1, 5) = ⊥
C = (-7, -3)
D = (0.-2)
Step 2 - To get the distance between the points we need to use the formula for Distance between two points which is given as:
d=√((x2 – x1)² + (y2 – y1)²).
Distance of Line AB =
√((1 – (-3))² + (5 – 2)²).
= √[(4)² + (3)²]
= √( 16 + 9)
= √25
AB= 5
Repeat this for BC, CD, DA and we'd get the following
BC = 11.313708498985
CD = 7.0710678118655
DA = 5
Step 3 - From the above structure, [see attached] we then apply the formula for the area of a Trapezoid (Trapezium) which is given as:
A = [(a+b)/2] h
Where a = 5
b = 11.313708498985
h = 5
= [(5+11.313708498985)/2] 5
= 40.7842712475
= 41
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complete question:
What is the area of trapezoid ABCD?
Enter your answer as a decimal or whole number in the box. Do not round at any steps.
units²
Trapezoid A B C D on a coordinate plane with vertex A at negative 3 comma 2, vertex B at 1 comma 5, vertex C at negative 7 comma negative 3, and vertex D at 0 comma negative 2. Angle B is shown to be a right angle.
an angle measures 154° more than the measure of its supplementary angle what is the measure of each angle
Answer:
Original angle = 167*
Supplementary angle = 13*
Step-by-step explanation:
180 - 154 = 26
26 / 2 = 13
13 + 154 = 167
Check
167 + 13 = 180
Six friends each use a $2-off coupon to buy themselves a movie ticket. They spend a total of $42. What is the price of one movie ticket without the coupon?
Answer:
$9
Step-by-step explanation:
1.) First, divide 42 by 6 since there are six people and the total is $42.
42/6 = 7
2.) Now, add $2 to 7 since 7 was the price of the movie ticket AFTER the $2 were taken off of it
x = 7+2x=9
4.) So, one movie ticket (x) = $9
Use the solution method from this example to find a basis for the given subspace. S = span {[1 -1 0 2], [3 -5 4 8], [0 1 -2 -1]} Give the dimension of the basis. v
Answer:
Step-by-step explanation:
The dimension of the basis is {[1 0 0 2], [-1 1 0 0]}.
To find a basis for the subspace S = span {[1 -1 0 2], [3 -5 4 8], [0 1 -2 -1]}, we can use the same method as in the example. First, we put the vectors in a matrix and row-reduce it:
[1 -1 0 2]
[3 -5 4 8]
[0 1 -2 -1]
R2 - 3R1 -> R2
R3 -> R3 + 2R1
[1 -1 0 2]
[0 -2 4 2]
[0 1 -2 -1]
-1/2R2 -> R2
[1 -1 0 2]
[0 1 -2 -1]
[0 1 -2 -1]
R3 - R2 -> R3
[1 -1 0 2]
[0 1 -2 -1]
[0 0 0 0]
We can see that the last row is all zeros, so we have only two pivots and one free variable. This means that the dimension of the subspace S is 2. To find a basis, we can write the pivots as linear combinations of the original vectors:
[1 -1 0 2] = [1 0 0 2] + [-1 1 0 0]
[0 1 -2 -1] = [0 1 -2 -1]
Therefore, a basis for S is {[1 0 0 2], [-1 1 0 0]}.
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My film starts at 1:20pm it’s 116minutes long what time will it finish
Answer:
3:16 pm
Step-by-step explanation:
116 minutes =
60 minutes + 56 minutes =
1 hour and 56 minutes -->
1:20 + 1:56 = 3:16
5. Michael has $2,100 in his saving account and $400 in his checking account. He owns a truck worth $2,300
and has a loan on the truck for $1,200. What is Michael's wealth (net worth)?
Answer:
$3600 pretty sure
Step-by-step explanation:
Answer:
$2,500
Step-by-step explanation:
2,100 + 400 = 2,500
10. A line has equation y=3kx−2k and a curve has equation y=x 2
−kx+2, where k is a constant. a) Find the set of values of k for which the line and curve meet at two distinet points. b) For cach of two particular values of k, the line is a tangent to the curve. Show that these two tangents meet on the x-axis. 11. The equation x 2
+px+q=0, where p and q are constants, has roots −3 and 5 . a) Find the values of p and q. b) Using these values of p and q, find the value of the constant r for which the equation x 2
+px+q+r=0 has equal roots. 12. A curve has equation y=x 2
−4x+4 and a line has the equation y=mx, where m is a constant. a) For the case where m=1, the curve and the line intersect at the point A and B. b) Find the coordinates of the mid-point of AB. c) Find the non-zero value of m for which the line is the tangent to the curve, and find the coordinates of the point where the tangent touches the curve. Answer: 1. ( 2
1
,0) 9. a) 25−(x−5) 2
2. a) (3x− 2
5
) 2
− 4
25
b) (5,25) b) − 3
1
3
10. a) k>1,k<− 2
1
a) The set of values of k for which the line and curve meet at two distinct points is k < -2/5 or k > 2.
To find the set of values of k for which the line and curve meet at two distinct points, we need to solve the equation:
x^2 - kx + 2 = 3kx - 2k
Rearranging, we get:
x^2 - (3k + k)x + 2k + 2 = 0
For the line and curve to meet at two distinct points, this equation must have two distinct real roots. This means that the discriminant of the quadratic equation must be greater than zero:
(3k + k)^2 - 4(2k + 2) > 0
Simplifying, we get:
5k^2 - 8k - 8 > 0
Using the quadratic formula, we can find the roots of this inequality:
\(k < (-(-8) - \sqrt{((-8)^2 - 4(5)(-8)))} / (2(5)) = -2/5\\ or\\ k > (-(-8)) + \sqrt{((-8)^2 - 4(5)(-8)))} / (2(5)) = 2\)
Therefore, the set of values of k for which the line and curve meet at two distinct points is k < -2/5 or k > 2.
b) To find the two values of k for which the line is a tangent to the curve, we need to find the values of k for which the line is parallel to the tangent to the curve at the point of intersection. For m to be the slope of the tangent at the point of intersection, we need to have:
2x - 4 = m
3k = m
Substituting the first equation into the second, we get:
3k = 2x - 4
Solving for x, we get:
x = (3/2)k + (2/3)
Substituting this value of x into the equation of the curve, we get:
y = ((3/2)k + (2/3))^2 - k((3/2)k + (2/3)) + 2
Simplifying, we get:
y = (9/4)k^2 + (8/9) - (5/3)k
For this equation to have a double root, the discriminant must be zero:
(-5/3)^2 - 4(9/4)(8/9) = 0
Simplifying, we get:
25/9 - 8/3 = 0
Therefore, the constant term is 8/3. Solving for k, we get:
(9/4)k^2 - (5/3)k + 8/3 = 0
Using the quadratic formula, we get:
\(k = (-(-5/3) ± \sqrt{((-5/3)^2 - 4(9/4)(8/3)))} / (2(9/4)) = -1/3 \\or \\k= 4/3\)
Therefore, the two values of k for which the line is a tangent to the curve are k = -1/3 and k = 4/3. To show that the two tangents meet on the x-axis, we can find the x-coordinate of the point of intersection:
For k = -1/3, the x-coordinate is x = (3/2)(-1/3) + (2/3) = 1
For k = 4/3, the x-coordinate is x = (3/2)(4/3) + (2/3) = 3
Therefore, the two tangents meet on the x-axis at x = 2.
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If f(x)= x^2 +3, evaluate f(-4)
Yooo how u doin ?
\(f( - 4) = ( { - 4})^{2} + 3\)
\(f( - 4) = 16 + 3\)
\(f( - 4) = 19\)
There it is ....
Don't have a good day , Have a great day ❤
A map of Colorado says that the scale is 1 inch to 20 miles or 1 to 1,267,200.
Answer:
1 inch to 20 miles
Step-by-step explanation:
if tu=18 and u=11 what is tv
If the point U is between points T and V, then the numerical length of TV is 29 units
How to determine the numerical length of segment TV?From the question, we have the following lengths that can be used in our computation:
Length TU = 18 unitsLength UV = 11 unitsThe above parameters and representations implies that the point U is between endpoints T and V
This also means that the length TV is longer than the other lengths TU and TV
So, we have the following length equation
TV = TU + UV
Substitute the known values in the above equation
So, we have the following equation
TV = 18 + 11
Evaluate the sum of the like terms in the above equation
So, we have the following equation
TV = 29
Hence, the numerical length of segment TV is 29 units
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Possible question
If tu = 18 and uv = 11 what is tv, if point u is between points t and v
A piece of wire 16 feet long is strung from
the top of the side of a house to the
ground. The distance from the base of the
house to where the wire meets the ground
is 9 feet, as shown in the picture.
The figure is not diawn to scale)
How tall, in feel the house)
C 17
The height of the house is √175 feet if the piece of wire 16 feet long is strung from the top of the side of a house to the ground. option (C) is correct.
What is a right-angle triangle?It is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base.
As we can see the wire, wall and base making a right angle triangle;
So applying the Pythagoras theorem:
Supposing the length of the wall is x feet
16² = 9² + x²
x²= 175
x = √175 feet
Thus, the height of the house is √175 feet if the piece of wire 16 feet long is strung from the top of the side of a house to the ground. option (C) is correct.
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Without graphing, determine whether each linear system has:
one solution
no solution
or infinitely many solutions.
a) 3x - y = 17
6x + 2y = -8
b) y = 2x - 5
4x - 2y = 10
c) 5x - y = 4
-5x + y - 4 = 0
d) 2x - y = 3
x - 2y = 3
Regarding resolving the given issue, we have Therefore, the system has one solution: (x,y) = (13/6, -21/2)
What is equation?A mathematical equation is a formula that connects two claims and uses the equals symbol (=) to denote equivalence. An equation in algebra is a mathematical statement that establishes the equivalence of two mathematical expressions. For instance, in the equation 3x + 5 = 14, the equal sign places a space between the variables 3x + 5 and 14. The relationship between the two sentences that are written on each side of a letter may be understood using a mathematical formula. The symbol and the single variable are frequently the same. as in, 2x - 4 equals 2, for instance.
a)
To solve the system, we can multiply the first equation by -2, then add the two equations:
\(-6x + 2y = -34\\6x + 2y = -8\\0x + 4y = -42\\y = -42/4\\y = -21/2\\3x - (-21/2) = 17\\3x + 21/2 = 17\\3x = 17 - 21/2\\3x = 13/2\\x = 13/2 * 1/3\\x = 13/6\\\)
Therefore, the system has one solution: (x,y) = (13/6, -21/2)
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Divide:4x3 3x² + 2x + 11x-1[ ? ]x² + [ ]x +[] +x-1
To make the division we first write it in standard division form:
Now, we need to divide the first term of the dividend by the first term of the divisor, that is:
\(\frac{4x^3}{x}=4x^2\)We write this above the first term and multiply it by the divisor; we write the result below the dividend with the signs change:
Now we add the dividend with what we found in the previous step and write the result below:
Now we take the same steps as before using the first term of the residual we found and the divisor until we have a residual with a degree lower than the degree of the divisor; this is shown below:
Therefore, the we have that the result is:
\(4x^2+x+3+\frac{4}{x-1}\)Solve for h:
A = 2(pi)rh + 2(pi)r^2
Answer:
6.283185hr+6.283185r2
Step-by-step explanation:
207,968 divided by 97. And I need solving steps .
Answer:
2144
Step-by-step explanation:
Given that D( x ) = 2 x , select all of the following that are true statements.
D( x ) is a direct variation.
D( x ) is a function.
D( x ) is a rule for the set of points (5, 10), (6, 12) and (-2, -4)
x is the dependent variable.
D(6) = 3
A box is to be wrapped in a red decorative paper. The box is 9 inches long, 5 inches wide and 4 inches high. What is the minimum amount of decorative paper needed to cover the box? *
SA= 2 (4)(5) + 2(5)(9) + 2(4)(9)
SA= 202in^2
If the box contains confetti, how much cubic inches of confetti are needed to fill the box?
V= lwh
= 4*5*9
= 180 in^3
PLEASE HELP!! I NEED THIS ASAP
Step-by-step explanation:
look at the graph !
there is an explicit horizontal limit line at y = -1.
no such vertical line for a limit for x.
as usual for exponential functions, f(x) grows rapidly, but is still valid for all x of R.
so, D is the right answer.
when x gets more and more to the left, f(x) grows and grows strongly, and goes to infinity.
when x gets more and more to the right, f(x) gets closer and closer to -1 (but will never reach it, only at infinity ...).
HELP FAST! D: TWENTY POINTS
A group of friends goes Sky diving, using a parachute to fall in a straight line from (1,45) to (3,36). If they keep going in a straight line, at what coordinates will they land on the x-axis?
Answer:
0 =-4.5X +49.5
x = 11
Step-by-step explanation:
x1 y1 x2 y2
1 45 3 36
(Y2-Y1) (36)-(45)= -9 ΔY -9
(X2-X1) (3)-(1)= 2 ΔX 2
slope= -4 1/2
B= 49 1/2
Y =-4.5X +49.5
please solve the question.
Answer:
C
Step-by-step explanation:
(7b-4) + (-2b+a+1)
= 7b - 4 - 2b + a + 1
=7b - 2b + a - 4 + 1
=5b + a - 3
Identify the perimeter and area of an equilateral triangle with height 12 cm. Give your answer in simplest radical form.
Answer:
perimeter is 36 cm
Step-by-step explanation: