Answer:
Angles of Intersecting Chords Theorem
Step-by-step explanation:
If two chords intersect inside a circle, then the measure of the angle formed is one half the sum of the measure of the arcs intercepted by the angle and its vertical angle.
Answer: If two chords intersect inside a circle, then the measure of the angle formed is one half the sum of the measure of the arcs intercepted by the angle and it's vertical angle.
Step-by-step explanation: Example: In the circle, the two chords -PR and -QS intersect inside the circle. since vertical angles are congruent, m<1=m<3 and m<2=m<4
Select the correct answer.
What is the justification for step 1 in the solution process?
8x + 15 = 11x + 2
Step 1: 8x = 11x − 13
A.
the addition property of equality
B.
the subtraction property of equality
C.
the multiplication property of equality
D.
the division property of equality
Answer:
b
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
Select the correct answer from the drop-down menu.
A new park is adding two new walking paths, as indicated by and , which are measured in meters. The park resembles an isosceles trapezoid.
Figure shows a trapezium ABCD. AC and BD are diagonals. The length of BD is 14x plus 4, and AC is 11x plus 31.
Determine the length of each path.
A.
The length of each path is
130
meters.
B.
The length of each path is
140
meters.
C.
The length of each path is
120
meters.
D.
The length of each path is
150
meters.
A.The length of each path is 130 meters.
Given:
The park resembles an isosceles trapezoid.
Figure shows a trapezium . AC and BD are diagonals. The length of BD is 14x plus 4, and AC is 11x plus 31.
we know that:
Diagonals are equal in isosceles trapezoid.
14x + 4 = 11x + 31
14x - 11x = 31 - 4
3x = 27
divide by 3 on both sides
3x/3 = 27/3
x = 9
Diagonal length = 14x + 4.
= 14*9 + 4
= 126 + 4
= 130 meters.
Therefore The length of each path is 130 meters.
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Here is a table of values for y= f(x).
x -2 -1 0 1 2 3 4 5 6
f(x) 5 6 7 8 9 10 11 12 13
Mark the statements that are true.
A. The domain for f(x) is the set {-2, -1, 0, 1, 2, 3, 4, 5, 6).
B. The range for f(x) is all real numbers.
C. f(-1) = 6
D. f(5) = -2
The statements that are true are:
A. The domain for f(x) is the set {-2, -1, 0, 1, 2, 3, 4, 5, 6).
C. f(-1) = 6
To determine the truth of each statement, we need to analyze the given table of values for the function f(x).
A. The domain for f(x) is the set {-2, -1, 0, 1, 2, 3, 4, 5, 6).
The x-values listed in the table are -2, -1, 0, 1, 2, 3, 4, 5, and 6. These are the inputs for the function, and therefore, they represent the domain of f(x). Thus, statement A is true.
B. The range for f(x) is all real numbers.
Looking at the y-values listed in the table for f(x), we can see that the range of f(x) is from 5 to 13. It does not include all real numbers, so statement B is false.
C. f(-1) = 6
From the table, we can see that when x = -1, f(x) = 6. Thus, statement C is true.
D. f(5) = -2
There is no entry in the table for f(5), so we cannot determine the value of f(5) from the given information. Therefore, statement D is false.
In conclusion, the true statements are A and C.
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Solve for length of segment c.
11 cm
10 cm
8.8 cm
c = [?] cm
If two segments intersect inside
or outside a circle: ab = cd
Answer:
c = 8
Step-by-step explanation:
Using the Intersecting Chords Theorem, we can form the following equation and solve for c:
\(ab=cd\\(10)(8.8)=11c\\88=11c\\c=8\)
34.03
A triangle on a coordinate plane is translated according to the rule T-3.5(x, y). Which is another way to write this rule?
(x, y) = (x – 3, y + 5)
O(x, y) = (x-3, y-5)
(x, y) = (x + 3, y-5)
(x,y) - (x + 3, y + 5)
Answer:
(x, y) → (x – 3, y + 5)
Step-by-step explanation:
This is because -3 is your x value so it would be x-3 and 5 is the y value and ts positive so it would be +5. That would go for anything that looks like your question.
The perimeter p(x) of a square tile is a function of the length x of a side square. Write a truncation rule for the perimeter of a square tile. Find and interpreter p(4)
The perimeter of square tile is represented by \(p(x)=4x\\\\\) and value of p(4) is 16 unit.
Since, Perimeter is the distance around the outside of a shape.
We know that all four sides of square are equal.
So that, perimeter of square tile is four times of side of square.
Therefore, \(p(x)=4x\)
And \(p(4)=4*4=16 unit\)
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Which statement describes the transformation of ΔABC? Is ΔA'B'C' ≅ ΔABC? Explain. A) ΔABC has reflected across the y-axis and translated left 7. ΔA'B'C' ≠ ΔABC because a reflection and translation are rigid transformations. Rigid transformations dilate the original figure. B) ΔABC has reflected across the x-axis and translated left 5. ΔA'B'C' ≅ ΔABC because a reflection and translation are rigid transformations. Rigid transformations have no effect on the side lengths of the original figure. C) ΔABC has reflected across line y-axis and translated left 5. ΔA'B'C' ≅ ΔABC because a reflection and translation are rigid transformations. Rigid transformations have no effect on the side lengths of the original figure. D) ΔABC has reflected across line p and translated left 7. ΔA'B'C' ≅ ΔABC because a reflection and translation are rigid transformations. Rigid transformations have no effect on the side lengths of the original figure.
Answer:
the answer is D
Step-by-step explanation:
because the! ABC moved 7 points and reflected over line p
A gym member tracked his weight. In the first week he gained 2 pounds. In the second week, he lost 5. In the third week, he lost 2 more. What was his overall change in weight?
Given the following probability distribution for the random variable X, what is the probability of the random variable X being at least seven?X-valueP(X)-60.3170.2380.1190.26100.09Write your answer as a decimal.
Given
The probability distribution for the random variable X is,
X - 6 7 8 9 10
P(X) - 0.31 0.23 0.11 0.26 0.09
To find the probability of the random variable X being at least seven.
Explanation:
It is given that,
The probability distribution for the random variable X is,
X - 6 7 8 9 10
P(X) - 0.31 0.23 0.11 0.26 0.09
Then,
\(\begin{gathered} P(at\text{ }least\text{ }7)=P(X=7)+P(X=8)+P(X=9)+P(X=10) \\ =1-P(6) \\ =1-0.31 \\ =0.69 \end{gathered}\)Hence, the probability of the random variable X being at least seven is 0.69.
HELP ASAAAPPPO! Dawn is making an abstract painting with two triangles. The dimensions of the painting are shown below:
Two triangles share the same height of 8 inches. One triangle has a base of 6 inches and the other is 10 inches.
The total area of the two triangles is
???
square inches.
the total area of the two triangles as shwon in the image is 70 in²
What is area?Area can be defined as the total portion occuppied by a plane fiqure.
To calculate the total area of the two triangles, we use the formula below.
Formula:
Total area of the triangle = Area of the pink triangle+Area of the purple triangleArea of the purple triangle = bh/2.................. Equation 1Where:
b = Base of the purple triangle = 8 inh = Height of the purple triangle = 10 inSubstitute these values into equation 1
Area of the purple triangle = 8×10/2Area of the purple triangle = 40 in²Similarly,
Area of the pink triangle = BH/2........ Equation 1Where:
B = 6 inH = 10 inSubstitute these values into equation 2
Area of the pink triangle = 6×10/2Area of the pink triangle = 30 in²Therefore, the total area of the two triangles is 40+30 = 70 in².
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If you flip a coin ten times, how many different sequences of heads and tails are possible? a. 2 Superscript 9 Baseline = 512 b. 10 squared = 100 c. 10 squared = 1024 d. 2 Superscript 10 Baseline = 1024
Answer:
1024
Step-by-step explanation:
I don't know what this superscript is but the answer is above.
Answer:OPTION D: 2^10 = 1024
Step-by-step explanation: I just took the quiz on edge.hope this helps :)
HELP PLS 15 POINTS first best is brainliest
What is the area of this figure?
Enter your answer in the box.
mm²
Answer:14mm
Step-by-step explanation:
What proves angle BDE is congruent to CDE. ∆ADB and ∆ADC are congruent.
Answer: We will use the SAS (SIDE-ANGLE-SIDE) to prove that the two triangles are congruent. This states that if two sides and the included angle in one triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent.
First line
First column: AB is congruent to CB Second column: Given
Second line
First column: angle ABD is congruent to angle CBD Second column: Given
At this point we have the SIDE-ANGLE portion of SAS. We just need the other side. We can see from the given angles that they both share a side...BD.
Third Line
First column: BD is congruent to BD Second column: Reflexive property
All that is left is to state SAS.
Fourth Line
First Column: Triangle ABD is congruent to triangle CBD Second column: SAS (from lines 1,2,3)
The function y = 4x² + 9x-2 has______at the vertex.
A:minimum
B:Maximum
Answer:
A. MinimumStep-by-step explanation:
Given function:
y = 4x² + 9x - 2This is a quadratic function with positive leading coefficient.
It means the graph of the function opens up and therefore it has minimum value of the function at the vertex.
Correct answer choice is A
Rotation - Question 5
When the former image is rotated, the dots will be located at section 2 and 7.
What is the effects of image rotation?When an image is rotated, the constituents within it also changes its position as the object is moves from a point to another about a pivot junction.
From the given image above, after the rotation of the initial image, the dot should be located at number 2 and 7 of the new image.
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1
2
3
4
5
6
9
Which expression is equivalent to 5(w+4) when w=g?
O 5(9)
O 915)
05(9)+4
O 5(9) +20
Find the area of the kite.
Given the Kite ABCD.
We want to find the Area of the Kite.
Recall that the Area of a Kite can be expressed as;
\(A=\frac{pq}{2}\)Where;
p and q are the diagonals of the Kite.
For the given Kite, the diagonals of the kite are;
AC and BD.
\(\begin{gathered} AC=5-(-2)=5+2 \\ AC=7\text{ units} \end{gathered}\)\(\begin{gathered} BD=5-1 \\ BD=4\text{ units} \end{gathered}\)So,
p = AC = 7 units
q = BD = 4 units
Substituting into the formula, we have;
\(\begin{gathered} A=\frac{pq}{2}=\frac{7\times4}{2}=\frac{28}{2} \\ A=14\text{ sq units} \end{gathered}\)Therefore, the area of the Kite is;
\(14\text{ square units}\)For Mean = 73.19, Mode = 79.56 and Variance = 16, the Karl Pearson's Coefficient of Skewness will be -0.0256 -1.64 0.0256 0
Answer:
To calculate Karl Pearson's coefficient of skewness, we need to use the formula:
Skewness = 3 * (Mean - Mode) / Standard Deviation
Given the Mean = 73.19, Mode = 79.56, and Variance = 16, we need to find the Standard Deviation first.
Standard Deviation = √Variance = √16 = 4
Now we can substitute the values into the formula:
Skewness = 3 * (73.19 - 79.56) / 4
Skewness = -6.37 / 4
Skewness = -1.5925
Rounded to four decimal places, the Karl Pearson's coefficient of skewness for the given values is approximately -1.5925.
Find the perimeter of the polygon with the given vertices. C(4, -1), D(4,−5), E(2,−3)
Answer:
8 units
Step-by-step explanation:
find the distance of the lines through coordinates given
distance formula: \(\sqrt{(x_{1}-x_{2})+(y_{1} -y_{2} ) }\)
i) CD=\(\sqrt{(4-4)^2 +(-1+5)^2}\)
CD=\(\sqrt{0+4^2}\)
CD=4 units
ii) DE=\(\sqrt{(4-2)^{2}+(-5+3)^2 }\)
DE=\(\sqrt{(2)^2+(-2)^2}\)
DE=\(\sqrt{8}\)
DE= 2 units
iii) ED=\(\sqrt{(2-4)^2+(-3+1)^2}\)
ED=\(\sqrt{(-2)^2+(-2)^2}\)
ED=\(\sqrt{8}\)
ED= 2 units
perimeter of polygon= 2 units+ 2 units+ 4 units
=8 units
I NEED HELP PLS HURRY
1. Write each expression with a single exponent:
a. (10^7)²
b. (10^9)³
c. (10^6)³
d. (10^2)³
e. (10³)²
f. (10^5)^7
Answer:
We use the rule,
\((a^b)^c = a^{bc}\)
a. (10^7)²
\((10^7)^2 = 10^{(7)(2)} = 10^{14}\)
10^14
b. (10^9)³
\((10^9)^3 = 10^{(9)(3)} = 10^{27}\)
10^27
c. (10^6)³
\(10^{(6)(3)}= 10^{18}\)
10^18
d. (10^2)³
\(10^{(2)(3)} = 10^{6}\)
10^6
e. (10³)²
\(10^{(3)(2)}=10^{6}\)
10^6
f. (10^5)^7
\(10^{(5)(7)} = 10^{35}\)
10^35
Step-by-step explanation:
A circle has a radius of 4 ft.
What is the area of the sector formed by a central angle measuring 270°?
Use 3.14 for pi and round the decimal to the nearest tenth.
The area of the sector is 37.68ft²
What is the area of a sector?The region inside the portion of the circle formed by two radii and an arc is known as the area of a sector. It just covers a small portion of the circle's total area.
Area of a sector
The area of a sector can be gotten using the expression (θ/360º) × π r ² where
θ is the angle subtended at the center, given in degrees.r is the radius of the circle.∅ = 270°r = 4ftUsing the expression we will get,(270/360) x 3.14 x 4²
From the solution, we will find the area to be 37.68ft²
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6x ( 2/3 divided by 2)+ 0.5
Answer:
2.5
Step-by-step explanation:
Given expression:
\(6 \times \left(\dfrac{2}{3} \div 2\right)+0.5\)
Following the order of operations (PEDMAS), carry out the calculation inside the parentheses first.
When dividing a fraction by a whole number, first covert the whole number into a fraction:
\(\implies 6 \times \left(\dfrac{2}{3} \div \dfrac{2}{1}\right)+0.5\)
When dividing fractions, flip the second fraction (swap the numerator and denominator), then multiply:
\(\implies 6 \times \left(\dfrac{2}{3} \times \dfrac{1}{2}\right)+0.5\)
\(\implies 6 \times \left(\dfrac{2 \times 1}{3\times2}\right)+0.5\)
\(\implies 6 \times \left(\dfrac{2}{6}\right)+0.5\)
\(\implies 6 \times \dfrac{2}{6}+0.5\)
Now carry out the multiplication:
\(\implies \dfrac{6 \times2}{6}+0.5\)
\(\implies \dfrac{\diagup\!\!\!\!6 \times2}{\diagup\!\!\!\!6}+0.5\)
\(\implies 2+0.5\)
Finally carry out the addition:
\(\implies 2.5\)
2.5
6*(2/3)/2 + 0.5
6*1/3 + 0.5
2 + 0.5
=2.5
The mapping diagram represents a relation where x represents the independent variable and y represents the dependent variable. A mapping diagram with one circle labeled x values containing values negative 3, negative 1, 1, 3, and 5 and another circle labeled y values containing values 0, 2, and 5 and arrows from negative 3 to 0, negative 1 to 2, 1 to 0, 3 to 2, and 5 to 5. Is the relation a function? Explain. No, because for each input there is not exactly one output No, because for each output there is not exactly one input Yes, because for each input there is exactly one output Yes, because for each output there is exactly one input
Yes, because for each input there is exactly one output. Therefore, the relation represented by the mapping diagram is a function.
To determine if the relation represented by the given mapping diagram is a function, we need to check if each input (x value) has exactly one output (y value) associated with it.
From the given mapping diagram, we can see that:
The input value -3 is associated with the output value 0.
The input value -1 is associated with the output value 2.
The input value 1 is associated with the output value 0.
The input value 3 is associated with the output value 2.
The input value 5 is associated with the output value 5.
As we can see, each input value has exactly one output value associated with it. Therefore, the relation represented by the mapping diagram is a function.
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Describe how to transform the graph of f(x)=x^2 to obtain the graph of the related function g(x). Then draw the graph of g(x).G(x)=f(x+1)
Let f(x) is a function and a function g(x) is given by,
\(g(x)=f(x+C)\)Here, if C is positive, then the graph of g(x) is the graph of f(x) shiftedC units to the left.
If C is negative, then the graph of g(x) is the graph of f(x) shifted C units to the right.
Given:
\(\begin{gathered} f(x)=x^2 \\ g(x)=f(x+1) \end{gathered}\)Then, g(x) can be expressed as, ,
\(g(x)=(x+1)^2\)From the explanation above, g(x) is the graph of f(x) shifted 1 unit to the left.
Now, the graph of g(x) can be drawn as:
pelase slove these two problem i will give out those crown thingy!
Answer: $2.75
Step-by-step explanation:
2) Judy spent 3*5.25 = 15.75 on popcorn bags, 13.60 on a jumbo bag of chips and 7.90 for a dip. This means that overall she spent $37.25. If she had $40, this means that she have left $40 - $37.25 = $2.75.
1) Your answer is right.
Please help asap
What is 9 5/9 simplified
Answer:
It would be 86/9 because you would need to make it improper
Step-by-step explanation:
Answer: its still going to get 9 5/9 or 86/9 theres no common divisor for them
Step-by-step explanation:
3,20,110 _1715 This is an mathematics question
The pattern between the numbers 3, 20, 110, and 1715 can be found using a mathematical method. In order to get the following number from each, there is a sequence that must be applied.Let's take a look at the sequence that was used to generate these numbers:
The first number is multiplied by 2 and then increased by 14 to get the second number. For example:
3 x 2 + 14 = 20
Then, the second number is multiplied by 3 and 20, and 110 is added.
20 x 3 + 110 = 170
The third number is multiplied by 4 and then increased by 110.
110 x 4 + 110 = 550
Finally, the fourth number is multiplied by 5 and then increased by 110.
550 x 5 + 110 = 2825
Therefore, using the above formula, the next number in the sequence can be calculated:
1715 x 6 + 110 = 10400
As a result, the sequence of numbers 3, 20, 110, 1715, 10400 can be calculated using the mathematical formula stated above.
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The volume of a cuboid is 540cm³. The length is 6cm and the width is 150mm. Work out the height of the cuboid in cm.
Step-by-step explanation:
To work out the height of the cuboid, we need to use the formula:
Volume = Length x Width x Height
We have been given the volume and the length, so we can substitute those values into the formula:
540 = 6 x Width x Height
Now we need to convert the width from millimeters to centimeters, so we divide it by 10:
150mm ÷ 10 = 15cm
Substituting this value into the formula:
540 = 6 x 15 x Height
Simplifying:
540 = 90 x Height
Dividing both sides by 90:
6 = Height
Therefore, the height of the cuboid is 6cm.
old
account balance
transaction
amount
new
account balance
account 1
352
-48
304
account 2
432
a
512
account 3
75
-100
b
account 4
С
52
12
account 5
-10
-20
-30
Explain what each of the numbers -10, -20, and -30 tells you about Account 5.
Answer:
...............
your answer is b
Graph the equation on the coordinate plane
y=-1/2x
Select two points on the line to graph the line
A graph of the linear equation y = -1/2(x) in slope-intercept form is shown in the image attached below.
What is a proportional relationship?In Mathematics, the graph of any proportional relationship is always characterized by a straight line with the data points starting from the origin (0, 0) and passes through other unique data points on the cartesian coordinate.
Next, we would use an online graphing calculator to plot the given linear function as shown in the graph attached below.
In conclusion, the slope of this linear function is equal to -1/2 and it represents a proportional relationship.
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