Answer:
A and C
Step-by-step explanation:
A) Two squares with the same side lengths are always congruent
C) Two rhombuses with the same side lengths are always congruent.
Two geometric shapes are called congruent if they have the same size and the same shape.
A square has all four sides equal, therefore two squares with the same side lengths are always congruent in all respect (shape and area). Two rhombuses with the same side lengths are always congruent. Two rectangles are congruent if both of them have the opposite sides are equal. Two parallelograms are said to be congruent if all four corresponding sides are equal in length & one corresponding internal angle is equal.Therefore the true statements are A and C.
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What is 703,937 rounded to the ten thousands place?
Answer:
700,000
Step-by-step explanation:
The integer number 703,937 rounded to the ten thousand's place will be 700,000.
What is the rounding of a number?The action of forming anything into a circle. Mathematics. the act of substituting a number with one that is roughly equivalent in value but has fewer digits: To the closest dollar, rounding $27.68 results in $28. a comparable procedure that identifies one of several rules.
The integer number is given below.
⇒ 703,937
Round the number 703,937 nearest ten thousand place.
If a thousand's place of the integer number is more than 5, then the ten thousand's place of the integer number will be increased by one.
In the thousand's place of the integer number is 3, then the number 0 will remain 0.
The integer number 703,937 rounded to the ten thousand's place will be 700,000.
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Two fourth-degree polynomials are multiplied together. What is the degree of the product? 1 4 8 16.
The degree of the product of two fourth-degree polynomials is 8.
When two fourth-degree polynomials are multiplied together, the degree of the product will be 8.
Explanation:A polynomial is a mathematical expression that is made up of terms that are either added or subtracted together. A polynomial can have several terms. The polynomial's degree is the highest power of its variable. The degree of a polynomial is determined by looking at the term with the highest power.
For example, if a polynomial is:5x^2 + 3x + 7
then the degree of the polynomial is 2 (the highest power of x in the polynomial).
When two fourth-degree polynomials are multiplied together, their degrees are added.4 + 4 = 8
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Identify the solutions and any extraneous solutions of the
following equations. (1 point each) 15. V2x + 5 = v3x - 1 16. V5x
-4-6 =0
15. The solution to the equation √(2x + 5) = √(3x - 1) is x = 4.
16. The solution to the equation √(5x - 4) - 6 = 0 is x = 10.
15. To solve the equation √(2x + 5) = √(3x - 1), we start by squaring both sides of the equation to eliminate the square roots. This gives us 2x + 5 = 3x - 1. Simplifying further, we get x = 6. However, we need to check for extraneous solutions. Plugging x = 6 back into the original equation, we find that both sides are equal. Thus, the solution is x = 4.
16. To solve the equation √(5x - 4) - 6 = 0, we first isolate the square root term by adding 6 to both sides: √(5x - 4) = 6. Squaring both sides, we get 5x - 4 = 36. Solving for x, we find x = 8. However, we need to check for extraneous solutions. Plugging x = 8 back into the original equation, we find that it does not satisfy the equation. Therefore, there are no valid solutions.
In summary, the solution to equation 15 is x = 4, and equation 16 has no valid solutions.
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find the coordinates of the image of the point.
C(-5,3); rotation 90° counterclockwise about origin, reflection in
the y-axis.
The image of point C(-5,3) after a 90° counterclockwise rotation about the origin and reflection in the y-axis is C"(-3,5).
To find the image of point C(-5,3) after a 90° counterclockwise rotation about the origin, we can apply the rotation formula:
x' = x * cos(theta) - y * sin(theta)
y' = x * sin(theta) + y * cos(theta)
In this case, theta is 90°, so the formulas become:
x' = -5 * cos(90°) - 3 * sin(90°) = 0
y' = -5 * sin(90°) + 3 * cos(90°) = 5
The result of the rotation is the point C'(0,5).
Next, we need to reflect C' in the y-axis. When a point is reflected in the y-axis, the x-coordinate changes its sign while the y-coordinate remains the same. Therefore, the image of C' after reflection in the y-axis is C"(-0,5), which simplifies to C"(-3,5).
So, the final coordinates of the image of point C after a 90° counterclockwise rotation about the origin and reflection in the y-axis are C"(-3,5).
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Complete question:
Find the coordinates of the image of the point. C(-5,3); rotation 90° counterclockwise about origin, reflection in the y-axis. (A) C"(5,3) (B) C"(-3,5) (C) C"(3,-5) (D) C"(-5, -3)
In algebra how do i convert y-7=-2/3(x+1) into standard form and what would it be?
Answer:
C
Step-by-step explanation:
Where, if at all possible,
A
,
B
, and
C
are integers, and A is non-negative, and, A, B, and C have no common factors other than 1
James earns $450 per week. His boss gives him a raise of $30 per week. How much more will James earn per year at his new salary?
Answer:
24960 dollars per year
Step-by-step explanation:
(450 + 30) x 52 ( weeks in a year)
Answer:
Step-by-step explanation:
1. $450+$30 = $480
2. $480 x 50(weeks) = $24,000
Leisure Life manufactures a variety of sporting equipment. The firm's predetermined overhead application rate was 150 per cent of direct labour cost. Job 104 included direct material of $20 000 and total costs were $25 000. The manufacturing overhead applied to Job 104 to date is
Answer:
3,000
Step-by-step explanation:
The computation of manufacturing overhead applied to Job 104 is shown below:-
We assume direct labor be x
Total Cost = Direct Materials + Direct Labor + overhead
$20,000 + x + 1.5x = $25,000
x = 2,000
Manufacturing Overhead = Direct Labor 2,000 × 150%
= 3,000
Therefore the manufacturing overhead applied to Job 104 is 3,000
14 is the square root of what number
√14 = 3.74165738677
Explanation:
√14
Prime factor 14 =√2×7
Both 2 and 7
are prime numbers.
√14
is already simplified.
Using a calculator,
√14 = 3.74165738677
The figure below shows a circle with center T, diameter PO, and tangent UI. Which of the angles must be right angles? Select all that apply.
A)
B)
C)
D)
E)
F)
The angles that must be right angles in the given figure are <PTU and <TOX.
To determine which angles must be right angles, we need to consider the properties of circles and tangents.
Angle <PTU: This angle is formed by the tangent UI and the radius TP. By the property of tangents, the tangent line is perpendicular to the radius at the point of tangency. Therefore, angle <PTU must be a right angle.
Angle <TOX: This angle is formed by the diameter PO and the tangent UI. According to the property of circles, any angle formed by a diameter and a tangent at the point of tangency is always a right angle. Hence, angle <TOX must also be a right angle.
The remaining angles, <TPX, <OTU, and <TUG, are not necessarily right angles. <TPX depends on the specific positioning of the point X on the circumference, and it may or may not be a right angle. Similarly, angles <OTU and <TUG do not have any specific properties that guarantee them to be right angles in this context.
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Complete question:
The figure below shows a circle with center T, diameter PO, and tangent UI. Which of the angles must be right angles? Select all that apply.
A) <TPX
B) <OTU
C) <PTU
D) <TUG
E) <PXO
F) <TOX
classify this triangle.
Hello!
- it is rectangular: it has a right angle
- but it is also isosceles: it has two equal sides starting from the right angle
so this triangle is an iscoceles right triangle
A traffic officer is monitoring traffic on a windy section of road that has a speed limit of 55 miles per hour. A car speeds past the officer and the radar gun indicates the car is traveling 68 miles per hour. How far will the speeding car travel in one minute?
Answer:
The relative speed of the passing car is 13 miles per hour.
Step-by-step explanation:
[tex]v = \frac{x}{t} \\ v = 13 \frac{mile}{hours} \\ t = 1 \: min \: = \frac{1}{60} \: hours \\ 13 = \frac{x}{ \frac{1}{60} } \\ 13 = \frac{60 \: x}{1} \\ x = \frac{13}{60} miles \: \\ and \: we \: are \: done.[/tex]
i hope i have been useful buddy.
good luck ♥️♥️♥️♥️♥️.
Select the correct answer from each drop-down menu.
AABC has vertices at A(11,6), B(5, 6), and C15, 17).
AXYZ has vertices at X(-10,5), Y-12, -2), and 2-4,
15).
AMNO has vertices at M-9,-4), M(-3,-4), and 0-3, -15).
A/KL has vertices at (17, -2), K112,-2), and L(12,7).
APQR has vertices at A12, 3), 0112,-2), and R(3,-2).
can be shown to be
_______congruent by a sequence of reflections and translations.
________can be shown to be congruent by a single rotation.
Answer: B: triangle ABC and triangle MNO
the second one is C: triangle JLK and triangle PQR
Step-by-step explanation: Plato
AABC and AMNO can be shown to be congruent by a sequence of reflections and translations.
What are vertices?A vertex (plural: vertices) is a point in geometry where two or more straight lines intersect.
Vertices are typically the corners or points where the curve changes direction in two-dimensional shapes such as triangles, rectangles, and circles.
Vertices are the points where the edges of three-dimensional shapes such as cubes, pyramids, and spheres meet. Vertices is the plural of vertex.
AABC and AMNO can be shown to be congruent by a sequence of reflections and translations.
AXYZ can be shown to be congruent by a single rotation.
KL and APQR cannot be shown to be congruent by either a sequence of reflections and translations or a single rotation.
Thus, this can be the answer for the given scenario.
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The ordered pairs in the table below represent a linear function
2
5
3
9
What is the slope of the function?
1/4
1/2
02
04
Answer: ITS C (2) trust me my guy
The slope of the function is,
⇒ m = 4
What is Equation of line?The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
The ordered pairs in the table below represent a linear function are,
(2, 5) and (3, 9)
Hence, Slope of the line is,
m = (y₂ - y₁) / (x₂ - x₁)
m = (9 - 5) / (3 - 2)
m = 4 / 1
m = 4
Thus, The slope of the function is,
⇒ m = 4
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An international data plan charges $10.00
for 4GB of data. Anything over 4GB is priced
at $2.50 per GB. Which equation can be used
to find y, the total cost of the international
plan, if x represents the number of GB over
4?
Answer:
y = 2.50x + 10
Step-by-step explanation:
Answer:
y = 2.50x + 10
Simplify √-48
Please help
Answer:
[tex]4\sqrt{3[/tex] is your answer
Step-by-step explanation:
Answer:
4√3 i
Step-by-step explanation:
The square root of -1 is equal to the imaginary number i. So, we can take out the square root of -1 to have i times the square root of 48. We can prime factorize 48 to get 4 and the square root of 3. That leaves us with 4 times the square root of three times i.
Use the model to solve for x. A) x = -2 B) x = 4 C) x = 8 D) x = 12
Jared is reading a 300-page book he borrowed from the library. So far, he has 85 read pages. He has more days to read the book before he returns it to the library. How many 5 pages must he read on average per day in order to finish the book before he returns it to the library?
Answer
43days
Step-by-step explanation:
Given that the total number of pages is 300
and Jared has read 85 pages
this means he has 300-85=215 pages unread.
We are told that if he reads 5 pages per day in how many days would he be done with the 215 pages left.
to solve for the number of days left, we have to divide 215 by 5
that is
=215/5
=43 days
So Jared needs 43 days to read the 215 pages left and return the book to the Lilbrary.
Which equation represents a line that passes through (5, 1) and has a slope of StartFraction one-half EndFraction?
Answer:
y - 1 = 1/2(x -5)
Just took the test, hope this helps!
Answer:
y-1=1/2(x-5)
Step-by-step explanation:y-1=1/2(x-5) i took the test
Based on the graph below, what is f(-1)?
4
0
1
-4
Answer:
-4
Step-by-step explanation:
The term f(-1) means function of -1. f(x) means the same thing as y. To find f(x) given a linear graph, just put your finger on x=-1, and trace your finger up or down until you reach the line. See what y-value it has (count the boxes from the origin).
Based on the graph Given The value of the function at x = -1 is 0.
What is a Linear equation?A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. Sometimes, the aforementioned is referred to as a "linear equation of two variables," with y and x serving as the variables.
given a graph of the linear equation
if we consider each block a unit block then we can say that y-intercept of the line is -1.
As there are not enough data to calculate the Equation of the line
But we can say from the graph the value of the function at x equals -1.
Therefore, The value of Function f(-1) is 0.
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I need help with this question
The value of x for the cube with volume 90 cubic inches is x = 4.4814 inches
Volume of a cubeThe volume of a cube is defined as the total number of cubic units occupied by the cube. The formula can be written as V = x³ where "x" is the length of edge or sides.
The length of an edge for the cube is x inches , given that the volume is 90 cubic inches then is x is calculated as follows:
x × x × × = 90 in³
x³ = 90 in³
x = ³√(90 in³) {take cube root of both sides}
x = 4.4814 in
Therefore, the value of x for the cube with volume 90 cubic inches is x = 4.4814 inches
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Can someone help me on trying to understand on how so you find the values of x, y. and z on this parallelogram?
It has to sum up to 360 degrees and each adjacent angles need the of 180 correct?
Answer:
x=40°, y=43°, and z=97°
Step-by-step explanation:
D=B, so both are 97
360-97-97=166
166÷2=83
y is alternate interior to 43, so y is also 43
83-43=40
So x=40, y=43, and z=97
John earns $8.35 an hour. Last week he worked 21 hours.This week he worked 33 hours.
What is his straight time pay for the two weeks?
A. $460.90
B. $450.90
C. $175.35
D. $275.55
E. $409.15
find thw two numbers ratio if their ratio is 9:11 and their difference if 6
Answer:
11x - 9x = 6
2x = 6
x = 3
The numbers are 9(3) = 27 and 11(3) = 33.
27/33 = 9/11
1/4(-64+100) how to solve this
Step-by-step explanation:
1/4(-64+100)=1/4(36)
=1/4*36/1
=36/4
=9
The value of the given expression is 9.
What is an expression?An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.
The given expression is 1/4(-64+100).
Now, 1/4 ×36
= 9
Therefore, the value of the given expression is 9.
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The perimeter of a rectangular pool is 314 m.
If the width of the pool is 66 m, what is its length?
Answer:
The length is 91 meters
Step-by-step explanation:
The perimeter formula is 2W · 2L = 314
We know the width is 66 m, so we can then say:
132 · 2L = 314
-132 -132
2L = 182
L = 91
Hope this helped!
Convert 18 1/2 into a improper fraction
Answer: 37/2
Step-by-step explanation:
Answer:
37/2
Step-by-step explanation:
18×2+1
=37
a driver receives $-25$ points for each rule violation. what integer represents the change in points after 4 rule violations?
The integer that represents the change in points after 4 rule violations is -100.
If a driver receives a penalty of $-25$ points for each rule violation, it means that for each violation, the driver loses 25 points.
To find the change in points after 4 rule violations, we need to multiply the penalty per violation by the number of violations:
Change in points = Penalty per violation * Number of violations
In this case, the penalty per violation is $-25$, and the number of violations is 4. Plugging these values into the formula:
Change in points = (-25) * 4 = -100
Therefore, the change in points after 4 rule violations is -100. The driver would lose 100 points.
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-2x + 3 -(5 - 6x) simplify
Answer:
4x-2
Step-by-step explanation:
Rearrange terms
Distribute
Subtract the numbers
Combine like terms
anyone know how to do this one?
Answer:
zero
Step-by-step explanation:
There is no change in slope so it's zero
hope this helps!
8 divided by 2 1/3 in fraction form
Answer:
24/7
hope this helps you
