Answer:
Maximum number of students=41
Step-by-step explanation:
Total allotted=£2500
Regular theatre Tickets=£45
1/5 off= 4/5*45
=£36
Train tickets=£20 each
Total cost per person=£36+£20
=£56
If 3 teachers and maximum number of students attend
Let x=maximum number of students
Therefore
£56(x+3) <or= £2500
56x+168 <or= 2500
56x <or= 2500-168
56x <or= 2332
x <or= 2332/56
x<or=41.643
Maximum number of students that will go on the trip=41 students
Total money left over for the school=
Total allotted - cost per person multiplied by number of teacher+students
=2500 - 56(3+41)
=2500-56(44)
=2500-2,464
=£36
identify the variable expression that is not a polynomial.
A. y+23
B. 3\sqrt(x)-2
C. x^3
D. 13
Answer:
B. 3\sqrt(x)-2
Step-by-step explanation:
A polynomial cannot have a variable in the denominator
A constant is a polynomial
3\sqrt(x)-2 and this cannot be simplified to get rid of the variable in the denominator so it is not a polynomial
$5000 was invested into an investment that pays 4.25% simple interest. The total value of the investment amounted to $6593.75. How long was principal invested for?
Answer:
7.5 years
Step-by-step explanation:
P = $5000,
R = 4.25%,
A = $6593.75,
N =?
SI = A - P = 6593.75 - 5000 =$1593. 75
[tex] \because \: SI = \frac{ PNR}{100} \\ \\ \therefore \: 1593.75 = \frac{5000 \times N \times 4.25}{100} \\ \\ \therefore \: 1593.75 \times 100 = 21,250 \times N \\ \\ N = \frac{159375}{21250} \\ \\ N = 7.5 \: years \: [/tex]
help plz i will make u brainllest
Answer:
C. 3√7
Step-by-step explanation:
As we know, the product of projections is equal to square of altitude in the right triangle. Applied to the given triangle, we get:
9×7= y²y= √9×7y=3√7Choice C. 3√7 is the correct one
Answer: C. 3√7
Step-by-step explanation:
write a function that represents the situation: A population of 210,000 increases by 12.5% each year
Answer
y= 12.5x + 210,000
Step-by-step explanation:
This is a linear function because it is increasing constantly by 12.5 percent so it will me written as y=mx+b
The value of function that represents the situation is,
⇒ P = 210,000 (1.125)ⁿ
Where, n is number of years.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
We have to given that;
The situation is,
⇒ A population of 210,000 increases by 12.5% each year.
Now, Let number of years = n
Hence, The value of function that represents the situation is,
⇒ P = 210,000 (1 + 12.5%)ⁿ
⇒ P = 210,000 (1 + 0.125)ⁿ
⇒ P = 210,000 (1.125)ⁿ
Learn more about the mathematical expression visit:
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In a random sample of 1066 U.S. adults, 580 think that the U.S. government
is doing too little to protect the environment. In another random sample of
1038 U.S. adults taken 10 years ago, 514 think that the U.S. government is
doing too little to protect the environment. At a = 0.10, can you reject the
claim that the proportion of U.S. adults who think that the U.S. government
is doing too little to protect the environment has not changed?
Resource: Two Samples, Proportions
Answer:
Step-by-step explanation:
This is a test of 2 population proportions. Let 1 and 2 be the subscript for the adults who think that the U.S. government is doing too little to protect the environment presently and the adults who think that the U.S. government is doing too little to protect the environment 10 years ago. The population proportions would be p1 and p2 respectively.
p1 - p2 = difference in the proportion of adults who think that the U.S. government is doing too little to protect the environment presently and the adults who think that the U.S. government is doing too little to protect the environment 10 years ago.
The null hypothesis is
H0 : p1 = p2
p1 - p2 = 0
The alternative hypothesis is
Ha : p1 ≠ p2
p1 - p2 ≠ 0
it is a two tailed test
Sample proportion = x/n
Where
x represents number of success
n represents number of samples
For the present,
x1 = 580
n1 = 1066
p1 = 580/1066 = 0.54
For 10 years ago,
x2 = 514
n2 = 1038
P2 = 514/1038 = 0.5
The pooled proportion, pc is
pc = (x1 + x2)/(n1 + n2)
pc = (580 + 514)/(1066 + 1038) = 0.52
1 - pc = 1 - 0.52 = 0.48
z = (p1 - p2)/√pc(1 - pc)(1/n1 + 1/n2)
z = (0.54 - 0.5)/√(0.52)(0.48)(1/1066 + 1/1038) = 0.04/0.02178551744
z = 1.84
Since it is a two tailed test, the curve is symmetrical. We will look at the area in both tails. Since it is showing in one tail only, we would double the area
From the normal distribution table, the area above the test z score in the right tail 1 - 0.967 = 0.033
We would double this area to include the area in the left tail of z = - 1.84 Thus
p = 0.033 × 2 = 0.066
Alpha = 0.1
Since alpha, 0.1 > p value 0.066, we would reject the null hypothesis.
Therefore, at a = 0.10, we can reject the
claim that the proportion of U.S. adults who think that the U.S. government
is doing too little to protect the environment has not changed.
a rectangle has an area of 18cm2. the lengths of the sides are whole numbers. how long can the sides be? give all the examples you can think of because i cannot
Please help me which one is correct please help me fast answer if you can please
Answer:
C. 2mn and mn^2
Step-by-step explanation:
All of the other options are like terms.
Option A: -x+3x=2x
Option B: 4a+7a=11a
Option D. 3p^2q+(-p^2q)=2p^2q
Option C: These terms are not like terms since 2mn is not squared while mn^2 is squared.
Hence,
the correct option would be C.
Hope this helps!!! PLZ MARK BRAINLIEST!!!
Answer:
The thrid option or 2mn and mn^2
Step-by-step explanation:
Like terms are sets of terms that have the same variables and powers. All these answer choices have the same variables but answer c are not like terms because the second term is raised to the power of 2 and the first is not. Coefficients do not matter for like terms.
Round
7.8652
to 2 decimal places.
Answer:
7.87?
Step-by-step explanation:
if y varies inversely as x and y=6 when x=8 find y when x=7
Answer:
y = 5 1/4
Step-by-step explanation:
For direct or inverse variation relation
relation between two variable and y can be expresses in form of
y = kx where k is constant of proportionality .
Only thing happens in inverse relation is that when x increases then y decreases and vice versa. That is care by constant of proportionality
__________________________________
Thus, let the inverse relation be
y = kx
given
when y = 6 then x = 8
we will plug this value in y = kx
6 = k*8
=>k = 6/8 = 3/4
Thus,
relation is
y = 3/4 x
we have to find y when x = 7 ,
lets put x = 7 in y = 3/4 x
y = 3/4 *7 = 21/4 = 5 1/4
Thus, when x = 7 then y = 5 1/4
What will be the result of substituting 2 for x in both expressions below? One-half x + 4 x + 6 minus one-half x minus 2 Both expressions equal 5 when substituting 2 for x because the expressions are equivalent. Both expressions equal 6 when substituting 2 for x because the expressions are equivalent. One expression equals 5 when substituting 2 for x, and the other equals 2 because the expressions are not equivalent. One expression equals 6 when substituting 2 for x, and the other equals 2 because the expressions are not equivalent.
Answer:
Both expressions equal 5 when substituting 2 for x because both expressions are equivalent
Step-by-step explanation:
Given
[tex]\frac{1}{2}x + 4[/tex] - Expression 1
[tex]x + 6 - \frac{1}{2}x - 2[/tex] -- - Expression 2
Required
Find the result of both expressions when [tex]x = 2[/tex]
Expression 1
[tex]\frac{1}{2}x + 4[/tex]
Substitute [tex]x = 2[/tex]
[tex]\frac{1}{2} * 2 + 4[/tex]
[tex]1 + 4[/tex]
[tex]Result = 5[/tex]
Expression 2
[tex]x + 6 - \frac{1}{2}x - 2[/tex]
Substitute [tex]x = 2[/tex]
[tex]2 + 6 - \frac{1}{2} * 2 - 2[/tex]
[tex]2 + 6 -1 -2[/tex]
[tex]Result = 5[/tex]
Answer:
Putting it short: Both expressions equal 5 when substituting 2 for x because both expressions are equivalent
Step-by-step explanation:
Write the decimal 4.06 in word form and expanded form. Please
Answer:
four and six one hundredths
406/100
Step-by-step explanation:
USE THE IMAGE ATTACHED BELOW please help me with my work answer it correctly I HAVE SO MUCH WORK DURING QUARANTINE
Answer:
Question 1:
a. The answer is B because the graph inclined really quickly and then it inclined at a much slower pace, suggesting that the person was running and then walking.
b. The answer is C because you can see on the graph that after a while, the distance from the starting point goes back to 0, indicating that the person forgot something at home.
Question 2:
a. The dashed line reaches the bottom at 15:30 so the answer is C.
b. Siobhan travels 8 km to go from home to school so the answer is 2 * 8 = 16 which is option D.
Question 3:
The answer is C because after the distance from the starting point increased, it then decreased and came back to the original point suggesting that he walked, turned around and walked back to the starting point.
Answer:
first page : a) A because it is the shortest time with no stop
b) C the graph goes up and return to the start point after a while
second page : it is at 3:30 0r 15:30
b): 8 km going to schools and 8 coming back is 16
third page it is C because he walk up a certain distance and come back to the starting point
which situation is most likely to show a constant rate of change
Answer:
B. The amount spent on grapes compared with the weight of the purchase.
Step-by-step explanation:
A: The shoe size of a young girl compared with her age in years. For the first few years of a girl's life, her shoe size is relatively the same. When she goes through a growth spurt, her shoe size increases exponentially. So, that is not a constant rate of change.
B: The amount spent on grapes compared with the weight of the purchase. In most grocery stores, grapes are sold based on their weight, like $2.50 per pound. With each increase in 1 pound, the cost increases by $2.50. That is a constant rate of change.
C: The number of people on a city bus compared with the time of day. This value widely changes throughout the day. For example, during rush hour, there will be many people. But during times at, say, 2 to 3 AM, there will not be many people. So, this is not a constant rate of change.
D: The number of slices in a pizza compared with the time it takes to deliver it. The number of slices in a pizza never changes, so it does not depend on the time it takes to deliver. There is no rate of change.
So, B is your answer.
Hope this helps!
Answer:
B
Step-by-step explanation:
i just did it
WILL MARK BRAINLIEST
PLEASE HELP
( if you can teach me what you did so I can learn it aswell x)
Answer:
7.405882353 years
Step-by-step explanation:
Simple interest is
A = P(1+rt)
Where A is the amount in the account
P is the principle invested
r is the rate and
t is the time
6593.75 = 5000( 1+ .0425*t)
Divide each side by 5000
6593.75/5000 = ( 1+ .0425*t)
1.31475 = ( 1+ .0425*t)
Subtract 1 from each side
.31475 = .0425t
Divide each side by.0425
.31475/.0425 = .0425t/.0425
7.405882353 = t
7.405882353 years
Answer:
time =31.029 close to 31
Step-by-step explanation:
A=PRT ( A: amounted investment, p is the investment, R is the rate, T is the time)
rate=%4.25=0.0425
6593.75=5000*0.0425
t=6593.75/(5000*0.0425)
t=31 ( month or weeks the question did not mention the period of time)
Which of the following choices must be true in order for ΔABC ≅ ΔEDC by the AAS congruency theorem? ∠B ≅ ∠D ∠A ≅ ∠E AC ≅ EC AB ≅ DE
Answer:
∠A ≅ ∠E
Step-by-step explanation:
The AAS (Angle-Angle -Side) congruence theorem implies that triangles ABC and EDC are congruent if both have equal two angles and a non included side.
In the given figures,
<ACB ≅ <ECD (vertical opposite angles)
BC ≅ DC (congruence property)
<ABC ≅ <EDC (alternate angles property)
∠A ≅ ∠E (alternate angle property)
With respect to AAS congruence theorem, ∠A ≅ ∠E is the correct option.
Examine the diagram of circle C. Points Q, V, and W lie on circle C. Given that m∠VCW=97∘, what is the length of VW⌢?
Answer:
[tex] \frac{97pi}{18} m [/tex]
Step-by-step Explanation:
==>Given:
radius (r) = 10 m
m<VCW = 97°
==>Required:
Length of arc VW
==>Solution:
Formula for length VW is given as 2πr(θ/360)
Using the formula, Arc length = 2πr(θ/360), find the arc length VW in the given circle
Where,
θ = 97°
r = radius of the circle = 10 m
Thus,
Arc length VW = 2*π*10(97/360)
Arc length VW = 20π(97/360)
Arc length VW = π(97/18)
Arc length VW = 97π/18 m
Our answer is,
[tex] \frac{97pi}{18} m [/tex]
yooo plz help asap!!! marking brainiest answer!!!
Answer:
C.
Step-by-step explanation:
You are looking for an equation that, when you input 0 for x, you get 4 for y, and when you input -5 for x, you get -1 for y.
That only works for Option C.
Hope this [sorta] helps!
Answer:
C
Step-by-step explanation:
C
The sum of two numbers is 33. One number is 17 less than the other. Find the numbers. the smaller number is ? The larger number is ?
Answer:
8 and 25
Step-by-step explanation:
We can set up an equation to help solve this problem.
Let x represent the smaller number
x+(x+17)=33
2x+17=33
2x=16
x=8
The smaller number is 8
Add 17 to 8
The larger number is 25
Answer:
Smaller number:8 larger number:25
Step-by-step explanation:
25-8=17
25+8=33
You can also set up an equation to help things be easier.
Please help!! Tamar is measuring the sides and angles of Triangle TUV to determine whether it is congruent to the triangle below.
Answer:
Measure of angle T = 25 degrees and TU = 12
Step-by-step explanation:
Tamar is measuring the sides and angles of Triangle T U V to determine whether it is congruent to the triangle below. For triangle K L M, side K M is 27 millimeters, side L M is 20 millimeters, and side K L is 12 millimeters. Angle K is 45 degrees, angle M is 25 degrees, angle L is 110 degrees. Which pair of measurements would eliminate the possibility that the triangles are congruent? Measure of angle T = 25 degrees and Measure of angle U = 45 degrees Measure of angle T = 110 degrees and Measure of angle V = 25 degrees Measure of angle T = 25 degrees and TU = 12 Measure of angle T = 110 degrees and UV = 27
Answer: Two triangles are congruent to each other if they have the same shape and size (i.e the same sides and angles).
The ways used to find congruence are:
1) Angle-side-angle: If two angles and an included side of a triangle is equal to the two angles and corresponding side of another triangle, then they are equal.
2) Side-side-side: If all three sides of a triangle is equal to the three sides of another triangle, then the two triangles are congruent.
3) Side angle side: If two sides and an included angle of a triangle is equal to the two sides and corresponding angle of another triangle, then they are equal.
4) Hypotenuse - leg: If the hypotenuse and one leg of a triangle is equal to the hypotenuse and leg of another triangle then they are equal.
5) Angle angle side: If two angles and an non included side of a triangle is equal to the two angles and corresponding side of another triangle, then they are equal.
Measure of angle T = 25 degrees and TU = 12 would eliminate the possibility that the triangles are congruent because if T = 25°, then the side opposite angle T (UV) is suppose to be 12
Answer:
the answer is C
Step-by-step explanation:
I got it right on my final exam on edge
X+ 15 = 28
what’s the solution to this question
Answer: x = 13
Step-by-step explanation:
28 - 15 = 13
Answer:
x=13
Step-by-step explanation:
28 - 15 = 13 thus x=13
SOMEONE HELPPP PLEASEEEE
Answer:
a. Domain = All real numbers
Range = y ≥ 2
b. Domain = -4 < x ≤ 4
Range = 0 ≤ y < 4
Multiple the polynomials (3x^2+4x+4) (2x-4)
Answer:
6x³ - 4x² - 8x - 16
Step-by-step explanation:
Step 1: Distribute the 2x
6x³ + 8x² + 8x
Step 2: Distribute the -4
-12x² - 16x - 16
Step 3: Combine the 2 distributions
6x³ + 8x² + 8x - 12x² - 16x - 16
Step 4: Combine like terms
6x³
8x² - 12x² = -4x²
8x - 16x = -8x
-16
Step 5: Rewrite
6x³ - 4x² - 8x - 16
━━━━━━━☆☆━━━━━━━
▹ Answer
6x³ - 4x² - 8x - 16
▹ Step-by-Step Explanation
(3x² + 4x + 4) (2x - 4)
Distribute
3x²(2x - 4) + 4x(2x - 4) + 4(2x - 4)
Remove parentheses
6x³ - 12x² + 4x(2x - 4) + 4(2x - 4)
Collect like terms
6x³ - 12x² + 8x² - 16x + 8x - 16
6x³ - 4x² - 16x + 8x - 16
Solve
6x³ - 4x² - 8x - 16
Hope this helps!
CloutAnswers ❁
Brainliest is greatly appreciated!
━━━━━━━☆☆━━━━━━━
A dilation has center (0, 0). Find the image of each point for the given scale factor. A(3,4);D7(A)
Answer:
6,8
Step-by-step explanation:
1. Write a two-column proof.
Given: Triangle ACD is isosceles; <1 is congruent to <3
Prove: Segment AB || Segment CD
Answer:
Check it below, please
Step-by-step explanation:
Hi there!
Let's prove segment AB is perpendicular to CD. Attention to the fact that a two column proof has to be concise. So all the comments can't be exhaustive, but as short as possible.
Let's recap: An isosceles triangle is one triangle with at least 2 congruent angles.
Statement Reason
[tex]\overline{AB} \cong \overline{AC}\\[/tex] Given
[tex]\widehat{ACB} \:bisects\: \overline{AB}[/tex] Isosceles Triangle the altitude, the bisector coincide.
[tex]\overline{AD} \cong \overline{DB}[/tex] Bisector equally divide a line segment into two congruent
[tex]m\angle CDA =m \angle CBD=90^{\circ}[/tex] Right angles, perpendicular lines.
[tex]\overline{CD}\perp \overline{AB}[/tex] Perpendicular Line segment
Jonah’s dog walking service went so well that he decided to do it again the following summer. This summer, however, Jonah will only have 8 weeks of free time. He is hoping to earn a total of $200. Select all of the strategies that would allow Jonah to reach his $200 goal in 8 weeks. Remember, last summer he made $3 per dog and walked 5 dogs per week. Continue walking 5 dogs per week, but increase his rate to $5 per dog Continue walking 5 dogs per week, but increase his rate to $4 per dog Walk 8 dogs per week at the same rate as $3 per dog Double the amount of dogs he walks per week, but keep the same rate of $3 per dog Double the amount of dogs he walks per week and cut his rate to $2 per dog
Answer:
The correct options are;
1) Continue walking 5 dogs per week, but increase his rate to $5 per dog
4) Double the amount of dogs walked per week but keep the same rate of $3 per dog
Step-by-step explanation:
The parameters given are;
Jonah is hoping to earn $200 from 8 weeks of dog walking
Therefore, Jonah has to make $200/8 per week or $25 per week
1) Continue walking 5 dogs per week, but increase his rate to $5 per dog
With the above strategy, Jonah will make $5 × 5 = $25 per week which will amount to $25 × 8 = $200 in 8 weeks total
2) Walking 5 dogs per week at $4 per dog = $20 per week and 8 × $20 = $160 in 8 weeks
3) Walking 8 dogs per week at $3 per dog = $24 per week and 8×$24 = $192 in 8 weeks
4) Double the amount of dogs walked per week to 5×2 or 10 dogs per week but keep the same rate of $3 per dog would give him 10 × $3 = $30 per week and 8 × $30 = $240 in 8 weeks
5) Double the amount of dogs walked per week to 5×2 or 10 dogs per week and cut his rate to $2 per dog would give him 10 × $2 = $20 per week and 8 × $20 = $160 in 8 weeks
Therefore, the strategies that would allow Jonah to reach his $200 goal in 8 weeks are;
1) Continue walking 5 dogs per week, but increase his rate to $5 per dog
4) Double the amount of dogs walked per week but keep the same rate of $3 per dog.
A basket of fruit contains 4 bananas, 3 apples, and 5 oranges. You intend to draw a piece of fruit from the basket, keep it, draw a 2nd piece of fruit from the basket, keep that, and then draw a third piece of fruit from the same basket.What is the probability of selecting one banana, then one apple, then one orange, in that order, from the basket if you are blindfolded?
Answer:
The probability that the fruits will be selected in the order of banana then apple then orange is 0.1094
Step-by-step explanation:
The given information are;
The number of bananas = 4
The number of apples = 3
The number of oranges = 5
The total number of fruits are 4 + 3 + 5 = 12
The probability of selecting a banana, p(b) = 4/12 = 1/3
The probability of selecting an apple, p(a) = 3/12 = 1/4
The probability of selecting an oranges, p(o) = 5/12
The probability of selecting one banana, then one apple, then one orange, in that order, from the basket with replacement is the product of the individual probabilities found as follows;
p(p(b) then p(a) then p(o)) =
The number o
The probability that the first fruit is a banana = ₁₁C₃×(1/3)^(3)×(2/3)^8 = 0.2384
The probability that the second fruit is an apple = ₁₁C₃×(1/4)^(3)×(3/4)^8 = 0.258
The probability that the third fruit is an apple = ₁₁C₃×(5/12)^(3)×(7/12)^8 = 0.16
The total probability = 0.2384 + 0.285 + 0.16 = 0.657
The number of ways in which the three can be selected = 3 × 2 × 1 = 6 ways
Therefore, the probability that the fruits will be selected in the order of banana then apple then orange = 0.657/6 = 0.1094.
Find the area and perimeter of shape ABCD with vertices A = (-1,-1), B = (2,3), C = (5,3), D = (8,-1).
Answer:
Perimeter = 22
Step-by-step explanation:
To find the perimeter, we will follow the steps below:
A = (-1,-1), B = (2,3), C = (5,3), D = (8,-1).
First, we will find the distance AB
A = (-1,-1), B = (2,3)
|AB| = √(x₂-x₁)²+(y₂-y₁)²
x₁ = -1 y₁=-1 x₂=2 y₂=3
we can now proceed to insert the values into the formula
|AB| = √(x₂-x₁)²+(y₂-y₁)²
= √(2+1)²+(3+1)²
= √(3)²+(4)²
= √9 + 16
=√25
= 5
|AB| = 5
Next, we will find the distance BC
B = (2,3), C = (5,3),
|BC| = √(x₂-x₁)²+(y₂-y₁)²
x₁ = 2 y₁=3 x₂=5 y₂=3
we can now proceed to insert the values into the formula
|BC| = √(x₂-x₁)²+(y₂-y₁)²
= √(5-2)²+(3-3)²
= √(3)²+(0)²
= √9 + 0
=√9
= 3
|BC|=3
Next, we will find the distance CD
C = (5,3), D = (8,-1).
|CD| = √(x₂-x₁)²+(y₂-y₁)²
x₁ = 5 y₁=3 x₂=8 y₂=-1
we can now proceed to insert the values into the formula
|CD| = √(x₂-x₁)²+(y₂-y₁)²
= √(8-5)²+(-1-3)²
= √(3)²+(-4)²
= √9 + 16
=√25
= 5
|CD|=5
Next, we will find the distance DA
D = (8,-1) A = (-1,-1)
|DA| = √(x₂-x₁)²+(y₂-y₁)²
x₁ = 8 y₁=-1 x₂=-1 y₂=-1
we can now proceed to insert the values into the formula
|DA| = √(x₂-x₁)²+(y₂-y₁)²
= √(-1-8)²+(-1+1)²
= √(-9)²+(0)²
= √81 + 0
=√81
= 9
|DA|=9
PERIMETER = |AB|+|BC|+|CD|+|DA|
=5 + 3+5 +9
=22
Perimeter = 22
Amad was curious if triangles \triangle ABC△ABCtriangle, A, B, C, and \triangle EDF△EDFtriangle, E, D, F were congruent. He was able to map one figure onto the other using a reflection and a rotation. Amad concluded: "I was able to map \triangle ABC△ABCtriangle, A, B, C onto \triangle EDF△EDFtriangle, E, D, F using a sequence of rigid transformations, so the figures are congruent."
Answer:
There is no error, Amad is correct.
Step-by-step explanation:
Khan Academy Checked.
Amad had done no error. His conclusion is true.
What is Congruency?Two triangles are said to be congruent if their sides are equal in length, the angles are of equal measure, and they can be superimposed on each other.
For example,
In the figure given above, Δ ABC and Δ PQR are congruent triangles. This means that the corresponding angles and corresponding sides in both the triangles are equal.
Sides: AB = PQ, BC = QR and AC = PR;
Angles: ∠A = ∠P, ∠B = ∠Q, and ∠C = ∠R.
Therefore, Δ ABC ≅ Δ PQR
The following are the congruence theorems or the triangle congruence criteria that help to prove the congruence of triangles.
SSS (Side, Side, Side)SAS (side, angle, side)ASA (angle, side, angle)AAS (angle, angle, side)RHS (Right angle-Hypotenuse-Side or the Hypotenuse Leg theorem)As, from the given cases the prediction of congruency of two triangles is correct. There is no error he made.
Hence, Amad had not made any error.
Learn more about congruency here:
https://brainly.com/question/14011665
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Heights of Basketball Players (inches)
75, 73, 76, 78, 79, 78, 79, 81, 80, 82, 81, 84
Mean = 78.8
MAD = 2.4
What can you infer from the given data? Choose all
that apply
Basketball players are generally taller
Soccer players are generally taller
Soccer players and basketball players are generally
the same height
Basketball player heights vary slightly more
Soccer player heights vary slightly more.
Heights of Soccer Players (inches)
70, 72, 71, 74, 71, 74, 73, 67, 70, 72, 69, 78, 73, 76, 69
Mean = 71.9
MAD = 2.2
Answer:
Basketball players are generally taller.
Basketball player heights vary slightly more.
Step-by-step explanation:
I hope this helps!
Basketball players are taller because the average (mean) of basketball players is greater than soccer players.
Basketball player heights vary more because the MAD is greater or more than the soccer players.
Basketball players are generally taller. Basketball player heights vary slightly more.
What is mean?Mean is defined as the ratio of the sum of the number of the data sets to the total number of the data.
Basketball players are taller because the average (mean) of basketball players is greater than soccer players.
Basketball player heights vary more because the MAD is greater or more than the soccer players.
Therefore, basketball players are generally taller. Basketball player heights vary slightly more.
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There are 30 runners in a cross country race. How many different groups of runners can finish in the top 3 positions
There are 4060 different groups of runners.
What is a combination?It is an arrangement of a set of numbers from a total set where the order of the set is not relevant.
The formula of combination is [tex]^nC_r[/tex] = n!/r!(n - r)!
We have,
Number of runners = 30
Number of runners in the group = 3
The number of different groups of runners.
= [tex]^{30}C_3[/tex]
= 30 x 29 x 28 / 3 x 2
= 5 x 29 x 28
= 4060
Thus,
The number of different groups of runners is 4060.
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