The Symmetric Property of Congruence allows you to say that if ∠LMN ≅ ∠NSP, then ∠NSP ≅ _____.
The Symmetric Property of Congruence states that If angle A is equivalent to angle B then the angle B will also be equivalent to angle A .
In the problem it is given that ∠LMN ≅ ∠NSP
So, as per the Symmetric Property of Congruence ∠NSP ≅ ∠LMP
The Symmetric Property of Congruence allows you to say that if ∠LMN ≅ ∠NSP, then ∠NSP ≅ ∠LMN.
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The correct completion of the statement using the Symmetric Property of Congruence is: If [tex]\( \angle LMN \cong \angle NSP \)[/tex], then [tex]\( \angle NSP \cong \angle LMN \)[/tex].
The Symmetric Property of Congruence states that if two angles are congruent, then the second angle is also congruent to the first. In other words, the order in which the angles are listed does not affect the congruence. Therefore, if [tex]\( \angle LMN \)[/tex] is congruent to [tex]\( \angle NSP \)[/tex], it follows that[tex]\( \angle NSP \)[/tex] is congruent to [tex]\( \angle LMN \)[/tex]. This property is a fundamental aspect of geometry that allows us to reverse the order of the angles in a congruence statement without changing the meaning of the statement.
PLEASE SHOW ALL WORK!!!
The base of a triangle measures (8x + 2) units and the height measures (4x − 5) units.
Part A: What is the expression that represents the area of the triangle? Show your work to receive full credit. (4 points) Hint: Area = 0.5bh
Part B: What are the degree and classification of the expression obtained in Part A? (3 points)
Part C: How does Part A demonstrate the closure property for polynomials? (3 points)
Part A:
As given,
Base of the triangle = 8x + 2 units
Height of the triangle = 4x − 5 units
Formula to find area of a triangle = [tex]\frac{base * height}{2}[/tex]
= 0.5bh
we have been given base and height, so the area becomes,
area = [tex]\frac{(8x+2)(4x-5)}{2}[/tex]
area = 0.5(8x+2)(4x-5)
= 0.5(32x²-32x-10)
= 16x²-16-5
after factoring it, we get
area = (4x-5)(4x+1) units.
Part B:
It is a degree 2 polynomial as the polynomial has one variable that is x, and the largest exponent of that variable is 2.
Part C:
Part A demonstrates the closure property of polynomials because after multiplying two polynomials we get another polynomial.
The table below shows a baseball player’s batting average batting left and right versus left- and right-handed pitches Left-handed pitchers Right-handed pitchers Bats left 0.285 0.175 Bats right 0.215 0.250 Assume these numbers are the probabilities that he will get a hit during an “at bat.” On average, when he bats left 100 times, how many more hits will he get when he faces left-handed pitchers as opposed to right-handed pitchers? 1 2 11 22
Answer:
C. 11 is the correct answer
Step-by-step explanation:
The table representing the probabilities of player's batting average is,
Left-Handed pitchers Right-Handed pitchers
Bats Left 0.285 0.175
Bats Right 0.215 0.250
So, when the players bats left 100 times,
The probability of hits he gets when faced by left-handed pitchers = 0.285 × 100 = 28.5
The probability of hits he gets when faced by right-handed pitchers = 0.175 × 100 = 17.5
Thus, the difference in the hits = 28.5 - 17.5 = 11
Hence, the player will get 11 more hits t when he faces left-handed pitchers as opposed to right-handed pitchers.
27POINTS A parallelogram has an area of 14 cm 2. If the dimensions of the parallelogram are doubled, what will the new area be?
A.14 cm 2
B.28 cm 2
C.56 cm 2
D.112 cm 2
Answer:
.56 (C)
Step-by-step explanation:
If PQR~STU, what is the scale factor of PQR to STU? QR=20 and TU=4.
i have 2mins left. help!!!
Please help me figure how to explain ??
Which of the following is the graph of y=-4√x
Answer:
Please see the attachment for graph.
Step-by-step explanation:
We are a given a equation and need to graph it.
It is square root function. We make table of x and y and then plot the points on graph and join the points.
We will take some random values of x and then find the value of y corresponding to the value of x.
For x=1, Put x=1 into equation
[tex]y=-4\sqrt{1}=-4[/tex]
For x=4, Put x=4 into equation
[tex]y=-4\sqrt{4}=-8[/tex]
For x=9, Put x=9 into equation
[tex]y=-4\sqrt{9}=-12[/tex]
Table of x and y
x y
1 -4
4 -8
9 -12
Now we plot the points on graph and join the points.
Please see the attachment for graph.
When expressed in exponential notation, the number 0.000302 becomes:?
There is a sales tax of $14 on an item that costs $147before tax. A second item costs$84 before tax. What is the sales tax on the second item?
To calculate the sales tax on the second item, we determined the sales tax rate from the first item and applied it to the second item's cost, resulting in $7.99 sales tax on the second item.
Explanation:To find the sales tax on the second item, we use the information provided about the first item to determine the rate of sales tax and then apply this rate to the second item. If the first item costs $147 with a sales tax of $14, we can find the sales tax rate by dividing the sales tax by the cost of the item before tax:
Sales tax rate = Sales tax / Price before tax
= $14 / $147
= 0.0952 or 9.52%
Once we have the sales tax rate, we can calculate the sales tax on the second item, which costs $84 before tax:
Amount of sales tax = Price × Rate of sales tax
= $84 × 0.0952
= $7.99 (rounded to the nearest cent)
Therefore, the sales tax on the second item is $7.99.
A geometric sequence is defined recursively by an = 4an-1 . The first term of the sequence is 0.5. Which of the following is the explicit formula for the nth term of the sequence?
A. 0.5 4n-1
B. 0.5 4n
C. 4 0.5n
D. 4 0.5n-1
E. 0.5 4n+1
You flip a coin 10 times. Knowing that the event satisfies the requirements for a binomial distribution, find the probability that exactly 7 of the outcomes are heads.
Answer:
0.1172
Step-by-step explanation:
The formula for the probability in a binomial distribution (n trials, r successes) is
[tex]\binom{n}{r}(p)^r(1-p)^{n-r}[/tex] where p is the probability of success.
For flipping a coin, the probability of success, p, is 0.5.
The number of trials, n, is 10. The number of successes, r, is 7. This gives us
[tex]\binom{10}{7}(0.5)^7(1-0.5)^{10-7}\\\\\binom{10}{7}(0.5)^7(0.5)^3=0.1171875 \approx 0.1172[/tex]
A midsegment of a triangle measures 40 m. What is the length of the corresponding base of the triangle? A. 20 m B. 40 m C. 60 m D. 80 m
Concentric circles are circles with the same A) area B) center C) diameter D) radius
You are cutting a rectangular piece of fabric in half along the diagonal. The fabric meaures 28 inches wide and 1/4 yards long. What is the length (in inches) of the diagonal
Eloise is investing in a retirement account. She plans on adding an additional $50 at the end of every year and the expected monthly rate of return is 3% of the amount invested, calculated at the end of the month. If she starts with $1000 in the account find an equation that models the amount of money in the account each month for the first year.
The simplified answer is y = 1000(1.03)x.
What are 3 consecutive integers that have a sum of 234?
Suppose that you invest 5873 in an account that earns an interest rate of 4.4% compounded monthly determine the accumulated balance after 7 years
Chapter 5 lesson 5.1 2nd grade
Answer:
What is the question?yea
Step-by-step explanation:
compare the first factor to the value of the product I did A B C but I don't understand D the question ANSWER FAST PLZ
The first factor with the value of the product is compared as below.
What are Factors?Factors of a number or an algebraic expression are the numbers or expressions which divides the given number evenly.
For example, 10 = 2 × 5
So we can say that 2 and 5 are factors of 10.
Here there are 3 products.
(a) [tex]\frac{1}{3}[/tex] × 1
Here the first factor is [tex]\frac{1}{3}[/tex].
And the product of the two factors is [tex]\frac{3}{9}[/tex].
[tex]\frac{3}{9}[/tex] = [tex]\frac{1}{3}[/tex] × [tex]\frac{3}{3}[/tex]
Numerator and denominator when take three times gives the product.
(b) First factor is [tex]\frac{2}{3}[/tex] and the product is [tex]\frac{14}{21}[/tex].
[tex]\frac{14}{21}[/tex] = [tex]\frac{2}{3}[/tex] × [tex]\frac{7}{7}[/tex]
Numerator and denominator when multiplied by 7 times gives the [tex]\frac{14}{21}[/tex].
(c) First factor is [tex]\frac{5}{2}[/tex] and the product is [tex]\frac{25}{10}[/tex].
[tex]\frac{25}{10}[/tex] = [tex]\frac{5}{2}[/tex] × [tex]\frac{5}{5}[/tex]
Numerator and denominator when multiplied by 5 gives [tex]\frac{25}{10}[/tex].
Hence the first factor and products are compared.
Learn more about Factors here :
https://brainly.com/question/18187355
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The tax revenue that a small city receives increases by 3.5% per year. in 1990, the city received $250,000 in tax revenue. Determine the tax revenue in 1995 and in 2006.
To find the tax revenue in 1995 and 2006 for a city with an annual increase of 3.5%, we use the formula for exponential growth. The revenue in 1995 is calculated to be $296,923, and for 2006, it is calculated to be $438,995.
Explanation:The tax revenue that a small city receives increases by 3.5% per year. To calculate the tax revenue for the years 1995 and 2006, we can use the formula for exponential growth: Final Amount = Initial Amount * (1 + Growth Rate)Number of Years.
For 1995, which is 5 years after 1990, the calculation would be:
Revenue in 1995 = $250,000 * (1 + 0.035)5
Revenue in 1995 = $250,000 * (1.035)5
Revenue in 1995 = $250,000 * 1.18769
Revenue in 1995 = $296,923
Similarly, for 2006, which is 16 years after 1990, the calculation would be:
Revenue in 2006 = $250,000 * (1 + 0.035)16
Revenue in 2006 = $250,000 * (1.035)16
Revenue in 2006 = $250,000 * 1.75598
Revenue in 2006 = $438,995
10 ÷ (20 ÷ 2² × 5 ÷ 5) × 8 - 2
At southern states university (ssu) there are 399 students taking finite mathematics or statistics. 238 are taking finite mathematics, 184 are taking statistics, and 23 are taking both finite mathematics and statistics. how many are taking finite mathematics but not statistics?
A trapezoid has an area of 150 square meters. If the bases are 14 meters, what is the height of the trapezoid?
Given the format D=ABC, what is the format for C?
the formula below changes degrees Fahrenhiet to degrees Celsius 5/9(F-32). what is the temperature in degrees Celsius, for -4 Fahrenheit?
Can someone please answers these questions
Find the slope of the line that contains the points named. A(3, 2), B(7, 8)
Answer:
3/2
Step-by-step explanation:
To find the slope of the line that contains the points A(3, 2) and B(7, 8), we can use the formula for slope:
slope = (change in y) / (change in x)
Let's calculate the values:
Change in y = 8 - 2 = 6
Change in x = 7 - 3 = 4
Now, we can find the slope:
slope = 6 / 4 = 3/2
Therefore, the slope of the line that contains the points A(3, 2) and B(7, 8) is 3/2.
what values of x make the two expressions below equal? (x+3)(x+8)/5(x+8) = x+3/5
a. all real numbers except -8
b. all real numbers except -3
c. all real numbers
d. all real numbers except -8 and -3
[08.06 MC]
Factor completely 4x3 + 8x2 − 25x − 50. (2 points)
(4x2 − 25)(x + 2)
(2x − 2)(2x + 2)(x + 5)
(2x − 5)(2x + 5)(x + 2)
(2x − 5)(2x + 5)(x − 2)
Answer: THE 3RDDDDDDDDDDDDDDDDDDDDD
Answer step by step
1.Avas school took a field trip. A total of 32 vehicles were needed for the trip.Some students took the bus, and some students car-pooled. There are 27 people on each bus and 3 people on each car. 408 people altogether attended the trip. How many buses and cars were needed for the trip?