Answer:
m < b = 70, m < c = 110 and m < d = 70 degrees.
Step-by-step explanation:
The opposite angle a ( angle c) = a = 110 degrees (Property of a parallelogram).
The angle on the same line as a ( that is angle b) = 180 - 110 = 70 degrees.
(Property of a parallelogram).
Finally angle d which is opposite angle b = 70 degrees.
Final answer:
In parallelogram ABCD with angle A being 110 degrees, angle C is also 110 degrees as opposite angles are equal. Angles B and D are 70 degrees each since consecutive angles in a parallelogram are supplementary and add up to 180 degrees.
Explanation:
To find the measures of the angles B, C, and D in the parallelogram ABCD with angle A being 110 degrees, we can use the properties of parallelograms. Specifically, opposite angles in a parallelogram are equal, and consecutive angles are supplementary (add up to 180 degrees).
Since angle A is 110 degrees, angle C, being opposite to angle A, also measures 110 degrees. Now, to find the measures of angles B and D we know that:
Angle A and angle B are consecutive, so they add up to 180 degrees. Therefore, angle B equals 180 degrees - 110 degrees which is 70 degrees.
Similarly, angle C and angle D are consecutive, so angle D also measures 180 degrees - 110 degrees, giving us 70 degrees for angle D as well.
Thus, the measures of angles B, C, and D in parallelogram ABCD are 70 degrees, 110 degrees, and 70 degrees, respectively.
what is the difference between the mean of each set?
a) 4
b) 5
c) 7
d) 9
How many inches did the height of the plant increase between weeks 3 and 4? 2
Answer:
The plant increased a total of 4 inches. Week 3 the plant increased 8 inches and week 4 the plant was 12 in, now subtract 12-8= 4
Answer:
The plant increased a total of 4 inches.
Week 3, the plant was 8in and week 4, the plant was 12in.
To find our solution, subtract 8 from 12
12-8=4
Step-by-step explanation:
Which describes the correlation shown in the scatterplot?
Answer:
None
Step-by-step explanation:
For there to be a correlation it needs to either be in a line or have equal stuff on both sides
Answer:
Option c is right
Step-by-step explanation:
Given is a scatter plot with points scattered.
We have to find from the shape the correlation coefficient
The points on the scatter plot do not support a linear correlation between the two variables.
There does not seem to be a line of fit which has minimum deviations from the line.
Hence there is no correlation is the correct answer.
From the given graph, we can say that option c is right.
What is the value of x ?
Answer:
x = 98
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the two opposite interior angles.
∠x is an exterior angle and
∠GFH and ∠FHG are the 2 opposite interior angles, hence
x = 53 + 45 = 98
The value of x is 98 degree.
What is exterior angle property?If a side of a triangle is produced, then the exterior angle so formed is equal to the sum of the two interior opposite angles
The exterior angle of a triangle is equal to the sum of the two opposite interior angles.
∠GFH and ∠FHG are the 2 opposite interior angles to exterior angle 'x',
x = 53 + 45
x = 98
Hence, the value of x is 98 degree.
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9 to 2
Question 7 (4 points)
What is the slope of the line that passes through the points (3.-1) and (-2,-5)?
Question 8 15 points)
Answer:
[tex]\frac { 4 } { 5 } [/tex]
Step-by-step explanation:
We are given the following two points and we are to find the slope of the line which passes through these points:
[tex](3.-1)[/tex] and [tex](-2,-5)[/tex]
The formula of the slope is given by:
Slope = [tex] \frac { y _ 2 - y _ 1 } { x _ 2 - x _ 1 } [/tex]
Substituting the given coordinates in the above formula:
Slope = [tex] \frac { - 5 - ( - 1 ) } { - 2 - 3 } = \frac { 4 } { 5 } [/tex]
. Simplify the expression. 56 ÷ (–7)
Answer:
-8
Step-by-step explanation:
All you have to do is divide 56/7 and you get -8.
Hope this helps!
Feel free to ask if you have any questions!
When you divide 56 by -7, the result is -8. This means that -8 is the quotient or simplified expression obtained when dividing 56 by -7.
A simplified expression is a mathematical expression that has been reduced or simplified to its most concise or straightforward form. It typically involves combining like terms, applying rules of arithmetic, or simplifying fractions or radicals. Simplifying an expression helps to make it easier to understand and work with.
To simplify the expression 56 ÷ (-7) step by step, you can follow these steps:
Divide 56 by -7:
56 ÷ (-7) = -8
Therefore, the simplified expression is -8.
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A student says that if 5x2 = 20, then x must be equal to 2. Do you agree or disagree with the student? Justify your answer.
Answer: agree
Step-by-step explanation:
5(2)=10•2=20
Answer:
disagree
Step-by-step explanation:
Given
5x² = 20 ( divide both sides by 5 )
x² = 4 ( take the square root of both sides )
x = ± [tex]\sqrt{4}[/tex] = ± 2
x = 2 or x = - 2 are the solutions to the equation
The following dot plots shows the number of strokes golf players required at each hole .Each dot represents a different player.Order the holes from least to greatest typical number of strokes per player .
Answer:
Hole 6,7,5 is the order
Step-by-step explanation:
Final answer:
To order the holes from least to greatest typical number of strokes per player based on the dot plots, count the number of dots for each hole and arrange the holes in increasing order.
Explanation:
To order the holes from least to greatest typical number of strokes per player, we need to look at the dot plots and determine the number of players represented by each dot. We can then count the number of dots for each hole and arrange the holes in increasing order based on the number of players. The hole with the least number of strokes per player would have the fewest dots, while the hole with the greatest number of strokes per player would have the most dots.
Let's say the dot plots show the following:
Hole 1: 2 dotsHole 2: 4 dotsHole 3: 3 dotsHole 4: 1 dotHole 5: 5 dotsBased on the number of dots per hole, the order from least to greatest typical number of strokes per player would be:
Hole 4Hole 1Hole 3Hole 2Hole 5please helpppppp me
Answer:
B. [tex] 4 \times 10^{12} [/tex]
Step-by-step explanation:
[tex] (6 \times 10^{8}) \div (1.5 \times 10^{-4}) = [/tex]
[tex] = \dfrac{6 \times 10^{8}}{1.5 \times 10^{-4}} [/tex]
[tex] = \dfrac{6}{1.5} \times \dfrac{10^{8}}{10^{-4}} [/tex]
[tex] = 4 \times 10^{8 - (-4)} [/tex]
[tex] = 4 \times 10^{12} [/tex]
Question 4 Multiple Choice Worth 1 points)
(01.03 LC)
Carleen has 104 pieces of candy leftover from Halloween. She would like to distribute them evenly to the 8 kids on her block. Write an equation to show how many pieces of candy each
kid will receive.
Answer:
Number of candy received by each kid, [tex]x=\frac{104}{8}=23[/tex]
Step-by-step explanation:
Let x be the pieces of candy each kid will receive.
Total number of candy left with Carleen = 104
Number of kids for which she is distributing = 8
Number of candy received by each kid, [tex]x=\frac{104}{8}=23[/tex]
23 pieces of candy each kid will receive.
What is equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
According to the question,
The pieces of candy each kid will receive will be x
Total number of candy left with Carleen = 104
The number of kids for which she is distributing = 8
The equation will be
[tex]x =\frac{104}{8}[/tex]
[tex]x = 23[/tex]
Here , the number of candies receive by each kid will be 23.
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Which of the follow if best describes AOR
Answer:
C
Step-by-step explanation:
A major arc is an arc that is greater than 180 degrees.
A minor arc is an arc less than 180 degrees.
An acute angle is an angle less than 90 degrees.
A central angle is the angle created in the center of a circle with 2 sides being the radius.
Thus, we can see in the figure that we are talking about the angle so we can eliminate major arc and minor arc.
Now, we clearly see that the angle is greater than 90 degree so it cannot be acute angle.
The correct answer is central angle as it goes with the definition.
Final answer:
AOR or Adjusted Odds Ratio is used in medicine as a measure of association between exposures and outcomes, and it tends to overestimate the RR for common diseases.
Explanation:
The term AOR refers to the Adjusted Odds Ratio, which is a statistical measure used to describe the strength of association or non-independence between two binary data values in epidemiology and other fields. In comparison to the Relative Risk (RR), the AOR is a more complex measure that takes into account additional variables that may affect the outcome. In the context of disease prevalence, when a disease is uncommon (around 5% prevalence or less), the AOR can closely approximate the RR. However, for more common diseases (for example, with a 40% prevalence of hypertension), the odds ratio tends to overestimate the risk compared to the RR, diverging more as the prevalence increases.
Evaluate 15cos60°. evaluate.
Answer:
15/2 or 7.5
Step-by-step explanation:
cos(60)=1/2
so 15(1/2)=15/2 or 7.5
For this case we must evaluate the following expression:
[tex]15 * cos (60)[/tex]
By definition we have that the cosine of 60 degrees is [tex]\frac {1} {2}.[/tex] Then, substituting in the expression we have:
[tex]15 * \frac {1} {2} = \frac {15} {2} = 7.5[/tex]
So, we have:
[tex]15 * cos (60) = 7.5[/tex]
Answer:
[tex]15 * cos (60) = 7.5[/tex]
Ronald spins a spinner that has 10 sections numbered from 1 to 10. What is the probability that the spinner lands on a prime number?
The probability the spinner lands on a prime number is 4/10 or 40%
Answer:
40%
Step-by-step explanation:
Prime numbers less than 10 are 2, 3, 5, and 7. Assuming the sections are sized equally, then four out of ten sections is 40%.
The sum of 26 and twice a number is 312. Find the number.
Answer:
Step-by-step explanation: 26+2c=312
Now we solve for c.
Subtract 26 on both sides giving 2c=286
So c=143
This is the equation in numbers translated (n is a number)
26 + 2n = 312
We have to find what the number (n) is. This means we must isolate n. To do this you must subtract 26 to both sides
26 - 26 + 2n = 312 - 26
0 + 2n = 286
2n = 286
To further isolate n you must divide 2 to both sides
2n/2 =286/2
n = 143
Check:
26 + 143*2 = 312
26 + 286 = 312
312 = 312
The number is 143
Hope this helped!
~Just a girl in love with Shawn Mendes
Solve w = t(11 + r) for t.
Answer:
t = w/(11+r)
Step-by-step explanation:
To solve for t, we need to divide anything that t is multiplied to to get it on the other side of the equal sign.
w = t(11+r)
w/(11+r) = t
Answer:
t = w/(r + 11)
Step-by-step explanation:
Solve for t:
w = t (r + 11)
w = (r + 11) t is equivalent to (r + 11) t = w:
t (r + 11) = w
Divide both sides by r + 11:
Answer: t = w/(r + 11)
NEED NOW!!! DONT NEED AN EXPLANATION I HAVE LIKE 5 MIN!!!
Which equation represents a linear function?
y – 2 = –5(x – 2)
x + 7 = –4(x + 8)
y – 3 = y(x + 4)
y + 9 = x(x – 1)
The first one. x and y only ever appear as first degree terms.
Second one, no y, third one xy isn't linear, fourth one x squared isn't linear.
Answer:
The first one: y - 2 = -5(x - 2)
Step-by-step explanation:
f(x) = x2 + 5x - 1 is shifted 3 units left. The result is g(x). What is g(x)?
Answer:
g(x) = (x + 3)^2 + 5(x + 3) - 1
Step-by-step explanation:
Please use " ^ " to denote exponentiation: f(x) = x^2 + 5x - 1.
Shifting the graph of this function 3 units left results in
g(x) = (x + 3)^2 + 5(x + 3) - 1
3. Solve the system of equations. Show your work. y = x^2-3x+4 x + y = 4
Answer: x = 2, y = 2
Step-by-step explanation:
[tex]y=x^2-3x+4\\x + y = 4\quad \implies y=4-x\\\\\underline{\text{Substitute y (in the first equation) with 4 - x:}}\\4-x=(4-x)^2-3(4-x)+4\\\\\underline{\text{Expand and distribute right-hand side:}}\\4-x=16-8x+x^2-12+3x+4\\\\\underline{\text{Simplify right-hand side:}}\\4-x=8-5x+x^2\\\\\underline{\text{Set left-hand side equal to zero (subtract 4 and add x):}}\\0=4-4x+x^2\quad \implies 0=x^2-4x+4\\\\\underline{\text{Factor and solve for x:}}\\0=(x-2)(x-2)\\0=x-2\\2=x[/tex]
Replace x with 2 in the second equation to solve for y:
x + y = 4
2 + y = 4
y = 2
What is the following sum? Assume.. (look at picture)
ANSWER
The correct answer is B
EXPLANATION
The given sum is
[tex] \sqrt{ {x}^{2} {y}^{3} } + 2 \sqrt{ {x}^{3} {y}^{4} } + xy \sqrt{y} [/tex]
We need to remove the perfect squares.
[tex]\sqrt{ {x}^{2} \times {y}^{2} \times y } + 2 \sqrt{ {x}^{2} \times ( {y}^{2})^{2} \times x } + xy \sqrt{y} [/tex]
Let us split the radical sign for the factors to get;
[tex]\sqrt{ {x}^{2}} \times \sqrt{ {y}^{2}} \times \sqrt{y} + 2 \sqrt{ {x}^{2} } \times \sqrt{( {y}^{2})^{2}} \times \sqrt{x} + xy \sqrt{y} [/tex]
This simplifies to
[tex]xy \sqrt{y} + 2x {y}^{2} \sqrt{x} + xy \sqrt{y} [/tex]
Group similar terms to get:
[tex]xy\sqrt{y} + xy \sqrt{y} + 2x {y}^{2} \sqrt{x} [/tex]
Combine the similar terms to get:
[tex]2xy\sqrt{y} + 2x {y}^{2} \sqrt{x} [/tex]
The correct answer is B.
37 There are 15 plates in a kitchen cabinet. The diameter of each plate is either 7 inches or
12 inches. The diameter of all 15 plates combined is 140 inches.
Which system of equations can be used to find the number of 7-inch plates, x, and the
number of 12-inch plates, y, that are in the cabinet?
A
x + y = 140
12x + 7y = 15
B
7x +12y = 140
7x + 12y = 15
cx + y = 15
7x + 12y = 140
D
x + y = 15
12x + 7y = 140
Answer:
it would be 7x+12y=140
The required system of equation is that can be used to find number of 7-inch plates and 12-inch plates is:
[tex]x+y=15\\7x+12y=140[/tex]
Given information:
The plates in a kitchen cabinet = 15
The diameter of each plates is either 7 inch or 12 inch.
The diameter of all 12[tex]x+y=15[/tex] plates combined is 140 inches.
Now, for the system of equation:
According to the question:
The number of 7 inches plates is [tex]x[/tex]
The number of 12 inches plates is [tex]y[/tex]
So, by the information given in the question:
[tex]x+y=15[/tex]
Because, there are 15 plates in the cabinet we can write the above equation.
Now, the sum of diameters of all plates is 140, that is also given in the question.
Hence, we can write the second equation as:
[tex]7x+12y=140[/tex]
Hence, The required system of equation is that can be used to find number of 7-inch plates and 12-inch plates is:
[tex]x+y=15\\7x+12y=140[/tex]
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the table represents a function
Answer:
-8
Step-by-step explanation:
Which of the following is the scaling factor a of the function f(x) = 3|x|?
•-1
•-3
• 1
• 3
Answer:
Last option: 3
Step-by-step explanation:
The following are some transformations for a function f(x):
1) If [tex]a(fx)[/tex] and [tex]|a|>1[/tex], then this function is stretched vertically by a factor of "a".
2) If [tex]a(fx)[/tex] and [tex]0<|a|<1[/tex], then this function is compressed vertically by a factor of "a".
Therefore, given the function [tex]f(x) = 3|x|[/tex], we can observe that the factor "a" is:
[tex]a=3[/tex]
Then:
[tex]a>1[/tex]
This means that then this function is stretched vertically by a factor of 3.
Therefore, the scaling factor is 3.
If P=(3,4), find:
R y-axis (P)
Please help!!
Answer:
(-3,4)
Step-by-step explanation:
That means to reflect the point across the y-axis... If you draw (3,4) on the coordinate plane you should see (-3,4) is the reflection across the y-axis from that point.
Answer:
P' = (- 3, 4 )
Step-by-step explanation:
Under a reflection in the y- axis
a point (x, y ) → (- x, y ), hence
P(3, 4 ) → P'(- 3, 4 )
NEED NOW!
How is the graph of y=(3x+1)^2 related to its parent function y=x2
A It is translated 1 unit right and compressed vertically by a factor of 3.
B It is translated 1 unit left and compressed vertically by a factor of 3.
C It is translated 1 unit right and stretched vertically by a factor of 3.
D It is translated 1 unit left and stretched vertically by a factor of 3.
The composite shape has an area of 136cm^2
What is the height of the trapezoid
Answer:
4 cm.
Step-by-step explanation:
Area of the shape =
136 = 6 * 14 + (h/2)(12 + 14) where the last part is the area of the trapezoid.
84 + 13h = 136
13h = 138 - 84 = 52
h = 4 (answer).
in order to graph a linear equation in slope-interceot form, what do you need to know? what does the equation look like when the y-intercept of the line is equal to 0? what does the equation look like when it also has a slope equal to 1?
Answer:
(a) Slope and y-intercept; (b) y = mx; (c) y = x + b
Step-by-step explanation:
1. Need to know
Slope and y-intercept.
You use these numbers to calculate one other point. Then you draw a straight line between the y-intercept and the other point to get the graph.
2. y-Intercept = 0
The form of the equation is y = mx + b, where b is the y-intercept.
If the intercept is zero, b = 0, and the equation has the form
y = mx
The graph is a straight line passing through the origin.
3. Slope = 1
m represents the slope. If m = 1, the equation has the form
y = x + b
If the axes are scaled equally, the graph is a straight line that crosses the y-intercept at an angle of 45°.
For f(x) = 3x+1 and g(x) = x2 - 6, find
(g/f)(x)
[tex]\left(\dfrac{g}{f}\right)(x)=\dfrac{x^2-6}{3x+1}[/tex]
The figure shows the function p(x)=[x]. Which statement about the function is not true?
A) p(0)=0
B) p(-4)=4
C) p(4)=-4
D) The domain of p(x) is all real numbers
Answer:
The option that's not true is:
C) p(4) = -4
Because if you look at that graph, you can tell, p(4) = 4 not -4.
The domain of the function p(x) = [x] is not all real numbers; it excludes integer values of x where the function is discontinuous. Statement D is not true.
The function p(x) = [x], where [x] represents the greatest integer less than or equal to x (the floor function). Let's evaluate each statement:
A) p(0) = [0] = 0. This is true.
B) p(-4) = [-4] = -4. This is true.
C) p(4) = [4] = 4. This is true.
D) The domain of p(x) is all real numbers. This statement is not true. The domain of p(x) is actually all real numbers except the points where x is an integer. At those points, there are discontinuities, and the function is undefined because the floor function jumps from one integer value to the next.
So, the statement that is not true is D) The domain of p(x) is all real numbers. The correct statement is that the domain of p(x) is all real numbers except at integer values of x.
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Solve 7x/3 < 2 please
Answer:
[tex]\large\boxed{x<\dfrac{6}{7}}[/tex]
Step-by-step explanation:
[tex]\dfrac{7x}{3}<2\qquad\text{multiply both sides by 3}\\\\3\!\!\!\!\diagup^1\cdot\dfrac{7x}{3\!\!\!\!\diagup_1}<(3)(2)\\\\7x<6\qquad\text{divide both sides by 7}\\\\x<\dfrac{6}{7}[/tex]
Answer:
x<6/7
Step-by-step explanation:
Multiply by 3 from both sides of equation.
3*7x/3<2*3
Simplify.
7x<6
Divide by 7 from both sides of equation.
7x/7<6/7
Simplify, to find the answer.
x<6/7 is the correct answer.
I hope this helps you, and have a wonderful day!
Which point is the vertex for the graph of y= |x| + 2?
ОА. (0, 0)
Ов. (0, 1)
Ос. (0,
OD. (0,
OE. (2, 0)
Answer:
OE. (2,0)
Step-by-step explanation:
Since x is by itself x equals 1 so the x value would be 1/1. The y intercept is 2 which means you began on the y axis 2 and x axis 0 and then you move 1/1 from that spot because of your x value or slope.