Answers
True statements: B, C, E, F
Explanation:Right angle is at ∠BAD
∠BAD = 90 degree
Opposite angles of a parallelogram are equal
∠BAD = ∠BCD
∠ABC = ∠ADC
a) The diagonals bisect each other
Since angle on a straight line is 180 degrees
By bisecting each other, the angles are divided ito two equal parts.
∠BOC = 180/2 = 90 degree
Hence, ∠BOC is not 45 degrees
b) Since ∠BAD = 90 degree
And the diagonal bisects the vertex, the angles are divided into two equal parts
∠BAC = 90/2 = 45
∠BAC = 45 degrees
c) ∠B is the same for both
∠ABO is congruent to ∠DBA
d) From the explanation above, ∠ABC = ∠ADC = 90 degrees
Since ∠B is 90 degrees, the triangle is right angled not scalene
e) AB corresponds to DC
BD corresponds to CA
AD corresponds to AD (reflexive property)
Since the three sides of triangle ABD corresponds to the three sides of triangle DCA
Hence, triangle ABD is congruent to triangle DCA
f) ∠O = 90 degree
∠A = 45 degree
∠ D = 45 degree
In triangle AOD, two angles are equal (90 degree). Hence, triangle AOD is an isosceles triangle
Related Questions
Given that M is the midpoint of line segment AC, AM = x + 20, and MC = 5x - 4. Find the lenght of AM.
Answers
Answer:
6 units
Step-by-step explanation:
AM = MC
AM = x + 20
MC = 5x - 4
x + 20 = 5x - 4
20 = 4x - 4
24 = 4x
x = 6
The required length of the AM is 27.
Given that,
M is the midpoint of line segment AC,
AM = x + 20, and MC = 5x - 4.
To find the length of AM.
The midpoint is that point the line whose distance from both the ends of the line is equal.
Here,
M is the midpoint of line segment AC, i.e.
AM = AC - - - - - - - - - - -- - - (1)
AM = x + 20, and MC = 5x - 4
Put AM and MC in equation 1
x + 20 = 5x - 4
5x - x = 20 + 4
4x = 24
x = 24 / 4
x = 7
Now,
Length AM = x + 20
Length AM = 7 + 20
Length AM = 27
Thus, the required length of the AM is 27.
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Sharon wants to buy a shirt that costs $50. The sales tax is 5%. How much is the sales tax? What is her total cost for the shirt
Answers
Answer: The sales tax is $2.5 and her total cost of the shirt is $47.5.
Step-by-step explanation:
With your team, create a piecewise-defined function with at least three “pieces.” The function does not need to be a step-function with horizontal line segments, but it needs to meet the definition of a function. Make a table and a graph for your function, and write an equation for each part. Be sure to state the domain for each part, as well as the domain for the whole function.
Answers
On solving the provided question we can say that The following is the data table of the function.
what is function?The subject of mathematics includes quantities and their variations, equations and related structures, shapes and their locations, and places where they can be found. The term "function" refers to the relationship between a set of inputs, each of which has an associated output. A connection between inputs and outputs in which each input leads to a single, distinct result is known as a function. Each function is given a domain and a codomain, or scope. Usually, f is used to denote functions (x). input is an x. There are four main types of functions accessible. based on the following factors: on functions, one-to-one functions, many-to-one functions, inside functions, and on functions.
here,
the provided functions that can be formed are
x -infinity < x < -10
f(x) = 2x + 10 -10 < x < 10
4X - 10 10 < x < infinty
The following is the data table of the function.
x y
-20 -20
-15 -15
-10 -10
-5 0
0 10
5 20
10 30
15 50
20 70
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An example of the piecewise defined function is: \(f(x)= \begin{cases}x & -\infty < x \leq-10 \\ 2 x+10 & -10 < x \leq 10 \\ 4 x-10 & 10 < x < \infty\end{cases}\)
what is function?The subject of mathematics includes quantities and their variations, equations and related structures, shapes and their locations, and places where they can be found. The term "function" refers to the relationship between a set of inputs, each of which has an associated output.
A connection between inputs and outputs in which each input leads to a single, distinct result is known as a function. Each function is given a domain and a codomain, or range.
Usually, f is used to denote functions (x). input is an x. There are four main types of functions accessible. based on the following factors: on functions, one-to-one functions, many-to-one functions, inside functions, and on functions.
The following is the data table of the function.
x y
-20 -20
-15 -15
-10 -10
-5 0
0 10
5 20
10 30
15 50
20 70
The provided functions that can be formed are
\(f(x)= \begin{cases}x & -\infty < x \leq-10 \\ 2 x+10 & -10 < x \leq 10 \\ 4 x-10 & 10 < x < \infty\end{cases}\)
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Which expression is equivalent
Answers
Answer:
the third one
Step-by-step explanation:
Answer:
4 - 12x
Step-by-step explanation:
-6 × -2 = 12 = 43 3
-6 × 2x = -12xTherefore the answer is 4 - 12x
What is the probability that either event will occur?
A
30
8
B
7
P(A or B) = P(A) + P(B)
P(A or B) = [?]
Enter as a decimal rounded to the nearest hundredth.
![What is the probability that either event will occur?A308B7P(A or B) = P(A) + P(B)P(A or B) = [?]Enter](https://i5t5.c14.e2-1.dev/h-images-qa/contents/attachments/qz1Ahrt6PyIwHX0nEOEQWHayCEmFtUNi.png)
Answers
The probability that either event will occur is 0.33
What is the probability that either event will occur?From the question, we have the following parameters that can be used in our computation:
Event A = 8Event B = 7Other Events = 30Using the above as a guide, we have the following:
Total = A + B + C
So, we have
Total = 8 + 7 + 30
Evaluate
Total = 45
So, we have
P(A) = 8/45
P(B) = 7/45
For either events, we have
P(A or B) = 8/45 + 7/45
P(A or B) = 15/45
Evaluate
P(A or B) = 0.33
Hence, the probability that either event will occur is 0.33
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Take a factor out of the square root
- 1/3√450
Answers
Find the area and perimeter of the figure
Answers
The perimeter and area of the given composite shape are respectively; 10a² + 10b and 37a²b
How to find the area and perimeter of a composite figure?The perimeter of the composite figure here will simply be the sum of the entire boundary lengths and as such we have;'
Perimeter = 2(a² + 3a² + a²) + 2(4b) + b + b
= 10a² + 8b + 2b
= 10a² + 10b
The area of a rectangle is;
Area = Length * width.
Thus;
Area of composite shape = Overall area of rectangle - Area of cut out rectangle
Area = (10a² * 4b) - (3a² * b)
Area = 40a²b - 3a²b
Area = 37a²b
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Let f(t)=4-3t^2. Evaluate f(t+1).
Answers
Answer:
f=4-3t^2/t+1
Step-by-step explanation:
Sketch the graph of the function f(x, y) x2
Answers
The graph of the function f(x, y) = \(x^2\) is a three-dimensional parabolic surface that opens upwards.
It is symmetric around the x-axis. This means that the shape of the surface is the same on both the positive and negative x-values. It is also a concave-up function, which means the graph is curved upwards.
Its vertex is located at the origin (0,0) and the equation of the parabola is y =\(x^2\). This means that the x-values of the graph can be any real number, while the y-values will always be non-negative as the square of any real number is always non-negative.
As x-values increase or decrease, the y-values will also increase, resulting in a smooth and continuous surface. Overall, the graph represents the upward parabolic shape of x squared.
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write the expanded form for 0.064
Answers
Answer: 0.06 + 0.004
for the sequence 11,13,15,_,_,_, find the formula for the nth term
Answers
Since the patter is increasing by 2. Keep adding by 2 until you reach the ninth terms.
15+2= 17
17+2 = 19
19+2=21
21+2=23
23+2=25
25+2=27
Answer:
aₙ = 9 + 2n
Step-by-step explanation:
Formula for the nth term of an arithmetic sequence, aₙ with a common difference of d and first term of a₁ is
aₙ = a₁ + d(n-1)
The common difference is the difference between two consecutive terms and is a constant
Here d = 13- 11 = 15-13 = 2
First term is 11
nth term:
aₙ = 11 + 2(n-1)
aₙ = 11 + 2n -2
aₙ = 9 + 2n
So if you wanted the 10 term say it would be
a₁₀ = 9 + 2x 10 = 9 + 20 = 29
Which description is paired with its correct expression?
O seven less than the quotient of two and a number squared, increased by six;
Onine times the difference of a number cubed and three, 9(n²-3)
7-+8
O eight more than the quotient of a number squared and four, decreased by seven;
Otwice the difference of a number cubed and eight, 27³-8
8+/-7
Answers
Answer:
seven less than the quotient of two and a number squared increased by six
7 - (2/n²) + 6
nine times the difference of a number cubed and three; 9(n³-3)
eight more than the quotient of a number squared and four, decreased by seven; 8 + (4 /n²) - 7
twice the difference of a number cubed and eight; 2 n³- 8
Step-by-step explanation:
Determine the surface area and volume. Note: The base is a square.
Answers
Answer:
volume=60cm3, surface area=96cm2
Step-by-step explanation:
volume=1/3×(6×6)×5
=60cm3
surface area= 4(1/2×6×5)+(6×6)
=96cm2
y=6/7x+11/7 in standard form
Answers
Answer:
6x-
7y
=
-11
6x-7y=-11
i will give BRAINLIEST!!! middle school math...
On a coordinate grid, point is at (2, 1) and point Ris at (-6, -5) Points Q and S are a reflection of both points across the x-axis. What are the coordinates of Q and S? O Q(2, -1), S(-6,5) O Q(-2, 1), S(6,-5) O Q(-2, -1), S(6,5) O Q(-2, 1), S(-6, 5)
Answers
Answer:
Solution given:
A(x,y))----reflection about x axis--->A'(x,-y)
P(2,1)---reflection about x axis----->Q(2,-1)
R(-6,-5)----reflection about x axis-->S(-6,5)
Answer:
A. Q(2, -1), S(-6,5)Step-by-step explanation:
Reflection rule across the x-axis:
(x, y) → (x, -y)P(2, 1) → Q(2, -1)R(-6, -5) → S(-6, 5)Correct choice is A
Find the distance between these points.
C(0, 4), T(-6, -3)
√(37)
√(109)
√(85)
Answers
Hey there! I'm happy to help!
To find the distance between two points, you find the difference between the y and x values, square them, add them, and then find the square root of that.
We subtract our y values.
-3-4=-7
And then our x values.
-6-9=-6
We square these values.
-7²=49
-6²=36
We add these.
49+36=85
And we find the square root, giving us √85.
Have a wonderful day! :D
Answer:
√85.
Hopefully this helps a bit, I don't really understand math much, but when I calculated, this is what I got:
Step-by-step explanation:
Subtract your y values.
-3-4=-7
And then your x values.
-6-9=-6
You square these values.
-7²=49
-6²=36
You add these.
49+36=85
And you find the square root, giving you √85
Will someone help me solve this ASAP please?
Answers
Answer:
a.) 7600 dollars
b.) 2000
domain is 0 is less than or equal to t is less than or equal to 5
range is 2000 is less than or equal to V(t) is less than or equal to 18000
last question: it will take 2.5 years to get to 10000 value.
You can make the graph with the points I've given you
Step-by-step explanation:
product of (x + 5)(x + 2)
Answers
Answer:
x^2+7x+10
Step-by-step explanation:
x×x=x^2
5×x=5x
2×x=2x
5x+2x=7x
5×2=10
HELP!!!!!!!!!!!!!!!!!
What did I do wrong on 6,7, and 8??
Once there is an answer… Please no one else answer!
Answers
The transformation in words for picture 6 is a rotation of 90° counterclockwise or 90° counterclockwise rotation.
The algebraic rule for the above transformation is (x, y) → (-y, x).
The transformation in words for picture 7 is a reflection across the line x = -3.
The algebraic rule for the above transformation is \(Ref_{x=-3} \triangle ABC\).
The transformation in words for picture 8 is a reflection across the x-axis.
The algebraic rule for the above transformation is (x, y) → (x, -y).
What is a rotation?In Mathematics and Geometry, the rotation of a point 90° about the center (origin) in a counterclockwise (anticlockwise) direction would produce a point that has these coordinates (-y, x).
By applying a rotation of 90° counterclockwise to the vertices of quadrilateral RSTUVW, the coordinates of W of the image is as follows:
(x, y) → (-y, x)
Ordered pair W = (-1, 3) → Ordered pair R' = (-(3), -1) = (-3, -1).
What is a reflection?In Mathematics and Geometry, a reflection over the x-axis is modeled by this transformation rule (x, y) → (x, -y). Therefore, a reflection over the x-axis would maintain the same x-coordinate while the sign of the x-coordinate changes from positive to negative or negative to positive.
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5.7935 rounded to the nearest thousand
Answers
Answer:
5.794
Step-by-step explanation:
The seven after the decimal point is the tenth digit, the nine is the hundredth, and the 3 is the thousandth place. Therefore, we look at our neighbor (the number next to the thousandth place) and if its 5 or more we round up, but if its 4 or less we keep it the same.
Two more than 4 times a number is the number less 7. What is the number?
Answers
Solve equation
Subtract x from both side
3x + 2 = -7
Subtract 2 from both side
3x = -9, x = -3
Solution: the number is -3
What are the length and width of a rectangle if the length is
3 inches longer than twice the width and the area of the
rectangle is 5 in2?
Answers
The length and width of the rectangle are 5 inches and 1 inches respectively.
How to find the length and width of a rectangle?The length and width of the rectangle can be found as follows;
l = 3 + 2w
area of a rectangle = lw
where
l = lengthw = widthTherefore,
5 = lw
5 = (3 + 2w)w
5 = 3w + 2w²
2w² + 3w - 5 = 0
Hence,
2w² + 3w - 5 = 0
Therefore,
w = 1 and w = - 5 / 2
width = 1 inches
length = 3 + 2(1) = 5 inches
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Suppose that Bag 1 contains a red (R), a blue (B) and a white (W) ball, while Bag 2 contains a red (R), a pink (P), a yellow (Y) and a green (G) ball. A game consists of you randomly drawing a ball from each of Bag 1 and Bag 2. (a) What are the 12 outcomes in the sample space S for this experiment? (b) You win the prize of baked goods if you draw at least 1 red ball. List the outcomes in the event that you win that prize, and use them to compute the probability of this event. You should assume that all outcomes in the sample spaces obtained in (a) are equally likely.
Answers
Answer:
1 /2
Step-by-step explanation:
Given :
Bag 1 : Red (R) ; Blue (B) ; White (W)
Bag 2 : Red (R) ; Pink (P) ; Yellow (Y) ; Green (G)
Total number of possible outcomes :
3C1 * 4C1 = 3 * 4 = 12 outcomes
Sample space (S) ;
_______ R ______ B _______ W
R_____ RR _____ RB ______ RW
P_____ PR _____ PB ______ PW
Y _____YR_____ YB ______ YW
G _____GR ____ GB ______ GW
To win price of baked goods ; Atleast one red ball must be drawn :
Probability of winning ; P(winning) = required outcome / Total possible outcomes
Required outcome = {RR, RB, RW, PR, YR, GR} = 6
Total possible outcomes = S = 12
P(winning) = 6/12 = 1/2
3x+4
12. Simplify +
x+2
x²+2x
2x+4
Answers
Answer:
\(\dfrac{x^2+8x+8}{2x+4}\\\\\)
Step-by-step explanation:
Simplify:
\(\dfrac{3x + 4}{x +2}+\dfrac{x^2+2x}{2x+ 4}\)
Multiply the denominator and the numerator of the first term by 2,
\(=\dfrac{2*(3x +4)}{2*(x+ 2)}+\dfrac{x^2+2x}{2x+4}\\\\\\=\dfrac{2*3x+2*8}{2*x +2*2}+\dfrac{x^2+2x}{2x+4}\\\\\\=\dfrac{6x+8}{2x+4}+\dfrac{x^2+2x}{2x+4}\)
\(\sf = \dfrac{6x+8+x^2+2x}{2x+4}\\\\\text{\bf Combine like terms,}\\\\=\dfrac{x^2+8x+8}{2x+4}\\\\\)
(Combining Equations )What is the result of subtracting the second equation from the first ? -3x + 2y = 7-3x -2y = 4
Answers
subtracting the second equation from the first can be done below
\(\begin{gathered} -3x+2y=7 \\ -3x-2y=4 \\ \\ -3x-(-3x)=0 \\ 2y-(-2y)=4y \\ 7-4=3 \\ 4y=3 \\ y=\frac{3}{4} \\ \\ -3x+2(\frac{3}{4})=7 \\ -3x+\frac{6}{4}=7 \\ -3x=7-\frac{3}{2} \\ -3x=\frac{14-3}{2} \\ -3x=\frac{11}{2} \\ -6x=11 \\ x=-\frac{11}{6} \end{gathered}\)Quadrilateral WXYZ is a rectangle, WY = 2w, and XZ = W + 78. What is XZ
Answers
Answer:
The value of XZ is equal to 156 units.
Step-by-step explanation:
Given that,
Quadrilateral WXYZ is a rectangle, WY = 2w, and XZ = w + 78
The diagonals of a rectangle are equal. So,
WY = XZ
2w = w+78
2w-w = 78
w = 78
So,
XZ = w + 78
= 78+78
= 156 units
So, the value of XZ is equal to 156 units.
help me and I’ll give you brainliest
Answers
Answer:
x = 18.5°
Step-by-step explanation:
90° = (6x - 21°)
90 + 21 = 6x - 21 + 21
111 = 6x
6x = 111
6x ÷ 6 = 111 ÷ 6
x = 18.5
Answer:
X = 18.5°
Step-by-step explanation:
DONT IGNORE PLEASE!! What is the measure of angle c
A. 94°
B. 86°
C. 18°
D. 274°
Answers
Answer:
B
Step-by-step explanation:
the sum of the 3 angles in a triangle is 180° , so
∠ c + 56° + 38° = 180°
∠ c + 94° = 180° ( subtract 94° from both sides )
∠ c = 86°
Is 0.316 <, >, or + to 0.61
Answers
0.316 is less than 0.61
pleasee help!!!!
20 points
Answers
The function with the same end behavior of f(x) is the last option:
\(g(x) = (-\frac{1}{3} )*x\)
Which function has the same end behavior of f(x)?
By looking at the graph, we can see that the end behavior of f(x) is:
as x → ∞; f(x) → -∞
as x → -∞; f(x) → ∞
Then we just want a function that depends linearly with x and that has a negative coefficient.
The correct option is the last one:
\(g(x) = (-\frac{1}{3} )*x\)
Where clearly, when x tends to infinity the function tends to negative infinity, and when x tends to negative infinity, the function tends to infinity.
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