Based on the information marked in the diagram, AMNP and AQRS must be
congruent.
N
R
ма
P
A. True
B. False
Answers
Answer:
Yes, it is true by AAS theorem.
The triangles ΔMNP and ΔQRS are congruent triangles
What are Congruent Triangles?Transformations change the size or position of shapes. Congruent shapes are identical, but may be reflected, rotated or translated. Scale factors can increase or decrease the size of a shape. Congruent Triangles simply mean the triangles that possess the same size and shape
The three sides are equal (SSS: side, side, side)
Two angles are the same and a corresponding side is the same (ASA: angle, side, angle)
Two sides are equal and the angle between the two sides is equal (SAS: side, angle, side)
A right angle, the hypotenuse and a corresponding side are equal (RHS, right angle, hypotenuse, side)
Given data ,
Let the first triangle be ΔMNP
Now , let the second triangle be ΔQRS
where the measure of angle ∠MNP = measure of angle ∠QRS = 90°
And , the measure of side NP = measure of side RS
And , the measure of ∠NPM = measure of angle ∠RSQ
So , two angles are the same and a corresponding side is the same (ASA: angle, side, angle)
Hence , the triangles are congruent by ASA theorem
To learn more about congruent triangles click :
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Related Questions
A regular polygon has 45 sides.
Find the size of each of its exterior angles.
100 POINTS
Answers
Answer:
8
Step-by-step explanation:
360/45 = 8
We know
Sum of exterior angles of any polygon is 360°Let every angle be x
[tex]\\ \sf\longmapsto 45x=360[/tex]
[tex]\\ \sf\longmapsto x=360/45[/tex]
[tex]\\ \sf\longmapsto x=8°[/tex]
what is the degree measure of the missing angle? 84 34 114 24
Answers
Answer:
24°
Step-by-step explanation:
We are given that m∠EFG is a right angle, and that m∠EFH = 66°
m∠EFH + m∠HFG = m∠EFG
Substitute values and solve.
66 + m∠HFG = 90
m∠HFG = 24°
Which of the following forms a Pythagorean triplet?
a)3, 4, 6 b) 5, 12, 13 c) 6, 7, 14 d) 8, 6, 16
(hey kid can you answer fast)
NO USELESS THINGS OR WRONG ANSWERS FOR I WILL REPORT YOU.
Answers
The 16 primitive pythagorean triples under 16 are
(3, 4,5), (5, 12, 13), (8, 15, 17), (7, 24, 25), (20, 21, 29), (12, 35, 37), (9, 40, 41), (28, 45, 53), (11, 60, 61), (33, 56, 65), (16, 63, 65), (48, 55, 73), (36, 77, 85), (13, 84, 85), (39, 80, 89), and (65, 72, 97)
Answer:
b)
Step-by-step explanation:
i hope this help you
In a class of 20 students, 5 have a brother and 11 have a sister. There are 3 students who have a brother and a sister. What is the probability that a student who does not have a brother has a sister?
Answers
The probability that a student who does not have a brother has a sister is 53.33%.
ProbabilityGiven that in a class of 20 students, 5 have a brother and 11 have a sister, and there are 3 students who have a brother and a sister, to determine what is the probability that a student who does not have a brother has a sister the following calculation must be performed:
20 - 5 = 10011 - 3 = X15 = 1008 = X8 x 100 / 15 = X800 / 15 = X53.33 = XTherefore, the probability that a student who does not have a brother has a sister is 53.33%.
Learn more about probability in https://brainly.com/question/13553988
A train travels 160 miles at a constant speed for 80 minutes. What is the speed of the train in mi/min
Answers
Answer:
2mi/min
Step-by-step explanation:
Speed=Distance/Time
=160mi/80min
=2mi/min
i need to know the answer to number one
Answers
Answer:
If the slope of the line is 3, it either decreases or increases by 3 everytime. (3x) If the y-intercept is 0, then when the line intercepts with the graph, it will intercept with (0, 0)
Step-by-step explanation:
Basically, the slope means how much the line increases or decreases. The y-intercept means where the line will intercept or start on the y-axis. If the y-intercept was 5, it would be (0, 5)
Answer asap pleaseeeee
Answers
Answer:
I am not certified because I also struggle with these but-
it might be
A. t = -5h-4
Step-by-step explanation:
For the answer A in the paragraph it states that the temperature was 4 degrees BELOW 0 meaning we shall put as -4° and each HOUR it keep going down 5 degrees so I would suppose it would be answer A.
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!2
Answers
Answer:
y+5= -2/3 (x-4)
I used Desmos
if marsha deposited 9,500$ into a savings acc 4 years ago The simple interest rate is 2% how much money did masha earn
Answers
Answer:
Kasha earned $10,260.00
Step-by-step explanation:
The total amount accrued, principal plus interest, from simple interest on a principal of $9,500.00 at a rate of 2% per year for 4 years is $10,260.00.
PLZ HELP ASAP I GIVE BRAINLIEST AND POINTS PLZ DONT POST LINKS
LOOK AT THE PICTURE
Answers
Answer:
look at the picture..................
[tex]\\ \rm\leadsto (aa^2a^3)/(a\div a^2)^{-1}[/tex]
[tex]\\ \rm\leadsto \dfrac{a^{1+2+3}}{(a^{-1})^{-1}}[/tex]
[tex]\\ \rm\leadsto \dfrac{a^6}{a}[/tex]
[tex]\\ \rm\leadsto a^5[/tex]
5) How would you break down 40% to find 40% of a number? Check all
that apply.
2 points
4(10%)
2(25%)
10% + 10% + 10% + 10%
25% + 10%
50% + 10% + 10%
Answers
Answer:
(A) and (C)
Step-by-step explanation:
4(10%) and 10%+10%+10%+10%+
Answer:
4(%10) = 40%
and
10% + 10% + 10% + 10% = 40%
The annual snowfall in city A is 45.8 inches. This is 14.2 inches more than 4 times the snowfall in city B. Find the annual snowfall for city B.
Answers
Answer: 7.9inches
Step-by-step explanation:
45.8-14.2=31.6
31.6/4=7.9
Can somebody answer this?
Answers
Answer:
its A
Step-by-step explanation:
I need help plzzzzzzzz
Answers
Answer:
51
Step-by-step explanation:
Given:
c=3
d = 7
thus just substitute it in.
15+(3)^2 * (7) - (3)^3
15 + 9*7-27
15+63-27
=51
I need help please
Which value is the closest to
0.9 • 997
a. 1,000
b. 81
c. 10,000
d. 10
Answer with supporting work:
Answers
Explanation: 0.9 x 997 equals to 897.3
897.3 rounds to 900 which is close to 1000 so it is that
Work out the percentage change to 2 decimal places when a price of £198 is increased to £209.99.
Answers
Answer:
6.06%
Step-by-step explanation:
198 + 6.06%=209.9988
which one is it please do this quick!
Answers
Answer:
B
Step-by-step explanation:
The answer is B because Figure JKML is a result of PQRS by a scale factor of 3
You can verify this because the distance from J to K is 6 and the distance from P to Q is 2, from 2 to get to 6 you need to multiply 2 by 3 meaning JKML would be the dilation of figure PQRS by a scale factor of 3
Khloe invests money in an account paying a simple interest of 7% per year. If she
invests $140 and no money will be added or removed from the investment, how much
will she have in one year, in dollars and cents?
Answers
Answer: $149.8
Step-by-step explanation:
Find the 1% of the 140 which is 1.4 because 140/100 = 1.4
Times by 7 to get 7%. 1.4 x 7 = 9.8
Add them together. 140+9.8 = 149.8
4) The original value of a painting is $9,000 and the value increases by 7% each year. In what year,
will the painting be worth $50,000? Show all work.
Answers
Answer:
The year will be 5 years from the starting year
Step-by-step explanation:
because if you add 7% by 9,000 until you get 50,000 just count how many times you added
pls help it’s timed c:
Answers
Answer:
A
Step-by-step explanation:
z1 = 4 - i
z2 = -3 - 2i
z1 - z2 = 4 - i - (-3 - 2i) = 4 + 3 - i + 2i = 7 + i
Answer: A
A committee consisting of three people is to be selected from ten members. How many ways are there to select the committee of three people
Answers
Answer:
120
Step-by-step explanation:
10 choose 3
theres really no simple way to do that with work unless you have a fancy calculator.
HELP PLSASE: Find the solution of the system of equations.
2
x
+
4
y
=
2x+4y=
−
16
−16
−
2
x
+
2
y
=
−2x+2y=
−
2
−2
Answers
Answer:
Step-by-step explanation:
x
=
−
24
y
=
10
Explanation:
x
+
4
y
=
16
2
x
−
4
y
=
8
Subtract the bottom equation from the top one so the
+
4
y
and
−
4
y
cancel each other out.
−
x
=
24
x
=
−
24
x
+
4
y
=
16
−
24
+
4
y
=
16
4
y
=
40
y
=
10
help me with this please thank you mate
Answers
[tex] \: \: \: \: \: [/tex]
[tex](x,y) = ( - 8,0)[/tex]
refer to the attachmenthope it helps[tex] \: \: \: \: [/tex]
Need help
She could also make yogurt at home for $1
$
1
a quart after spending $24
$
24
on a yogurt maker.
The graph shows the cost of yogurt bought at the grocery store and made at home.
Answers
The x-axis should be labeled quartz of yogurt.
The y-axis should be labeled total cost.
The slope of each line represents the cost of yogurt ($/qt).
The y-intercept of each line represents the initial equipment cost.
What is y-intercept?In Mathematics, the y-intercept is also known as an initial value and the y-intercept of any graph such as a linear function, generally occur at the point where the value of "x" is equal to zero (x = 0).
Based on the graph above, the initial equipment cost represents the y-intercept of each line.
What is a slope?In Mathematics, a slope is also referred to as gradient or rate of change and it is typically used to describe both the ratio, direction and steepness of the function of a straight line.
Therefore, the slope of each line represents the rate of change of the total cost with respect to the quartz of yogurt ($/qt).
Read more on slope here: brainly.com/question/3493733
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m-(-584)=866 simplified
Answers
Answer:
282 thats what i got
Step-by-step explanation:
Answer:
m = 282
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
m + 584 = 866
Step 2: Subtract 584 from both sides.
m + 584 (−584) = 866 (−584)
m = 282
PLEASE HELP FAST!!!!!
1. Which number has a real component of 16 and an imaginary component of 10?
A: 16 + 10i
B: 10+ 16i
C: 16 - 10i
D: 10 - 16i
Answers
Answer:
A: 16 + 10iStep-by-step explanation:
The numbers are in the form of:
a + bi, where a - real component, b - imaginary componentWhen a = 16, b = 10 the number is:
16 + 10iCorrect choice is A
the average attendance at a club fell by 7% in 2015. if 2030 fewer people went in 2015, how many went in 2014?
Answers
Answer:
300
Step-by-step explanation:
All you had to be is take 2030 and divide by 7 percents
How many quarters are there in 5 1/2
Answers
Answer:
Please mark as brainliest if you understood
Step-by-step explanation:
5 1/2
=11/2
=22/4
Therefore there are 22 quarters.
I need help asap!!!!
What is the slope of the line on the graph below?
2 IV
-2 -1
1
2
3
4
5
6.
7
8
х
-2
4
45
-6
-7
48
1
Answers
Answer:
Slope is 1/3
Step-by-step explanation:
This is because the line is positive (moving upwards), and it moves up 1 unit and to the right 3 units. That means if you write it in the form of rise/run, where rise is the up or down movement and run is the left or right movement, 1 will be on top and 3 will be at the bottom.
Bonus: The line is y = 1/3x -5 (where 1/3 is slope and -5 is the y-intercept).
Hope this helps :)
Find the value of x in the triangle shown below.
102
48
Answers
Answer:
The sum of the angles of a triangle is always 180, so the answer is
180-102-48=30
Step-by-step explanation: