The congruence's reflexive characteristic is applied to the statement AB ≅ AB.
In algebra, a number is always equal to itself according to the reflexive property of equality. The equality's reflexive quality. Assuming that an is a number, a = a. a=a. We discovered that anything is equal to itself thanks to the reflexive characteristic of equality. This characteristic's formula is a = a. All numbers are equal to one another, according to this property. For instance, three is three.
In mathematics, a set X's elements are considered to be reflexive if there is a relationship between each one of them. This can be expressed in terms of relations as (a, a) R a X or as I R, where I is the identity relation on A. As a result, it is said to hold reflexivity and to have a reflexive feature. Every angle, every line, and every figure or shape in geometry are congruent to one another according to the reflexive characteristic of congruence. This characteristic is typically employed in proofs of parallel lines and the congruence of two triangles.
Learn more about congruence Visit: brainly.com/question/2102943
#SPJ4
Question:
A group of health researchers survey a SRS of 300 teenagers, of whom 120 have low weekly outdoor activity levels and 180 have high weekly outdoor activity levels. Suppose that 35 percent of teenagers with low outdoor activity levels have allergies, and that 41 percent of teenagers with high outdoor activity levels have allergies. The researchers want to see the difference between the sample proportions. What will be the shape of the sampling distribution be and why?
Choices:
A. Approximately normal, because we expect 105 successes and 195 failures from teenagers with low levels, and 123 and 177 from teenagers with high levels, and all of these counts are at least 10.
B. Approximately normal, because we expect 42 successes and 78 failures from teenagers with low levels, and 73.8 and 106.2 from teenagers with high levels, and all of these counts are at least 10.
C. Not normal, because we expect fewer than 10 failures in both samples.
D. Not normal, because we expect fewer than 10 successes in both samples.
Answer:
B
Step-by-step explanation:
What Gets Wetter The More It Dries?
Write the letter of each answer in the box containing the exercise number
Complete the sentence.
1. If two angles of one triangle are congruent to two angles of another
triangle, then the two triangles are A
Use the diagram.
р н
Answers
K 73°
L. 17°
U. false
T. 62°
A. congruent
2. If mC = 36°, then mZH = 54. True or false?
O
M. right angle
W. similar
3. AEDC - AA
E. 43
4. If mZE = 73°, find m2K.
LEDC
Use the diagram and the glven Information to find the Indicated
measure
0. true
D. 42
A. HGK
B. KGH
C с
E
A
5. MZA = 42°, m.ZD = 95°, mZE = 42°, ZB - ZD;
Find mZACB
6. MZA = MZE = m ZACB = MZECD = 59°; Find m2D.
Answer:
A “Towel”
Step-by-step explanation:
Help
This is big
Plsss
Answer:
The answer for this would be:
Sin P = Opp/Hyp
Sin P = 55/73
Answer = 55/73
Please mark my answer as brainliest for further answers :)A certain building has a triangular shaped face to link up of the sides of the triangular base or 145 feet 257 feet in 290 feet five find the area of the base of the building
Answer:
18617.66 ft^2
Step-by-step explanation:
sides of triangular base
a= 145ft ,
b = 257ft ,
c = 290ft
calculate the area of the base
The base is a scalene triangle hence the area is calculated as follows
s = ( a + b + c ) / 2
= ( 145 + 257 + 290 ) / 2 = 346
Area of triangle = [tex]\sqrt{s(s-a)(s-b)(s-c)} = \sqrt{346(201)(89)(56)}[/tex]
= 18617.66 ft^2
HELPPPP
What is the value of x in the figure at the right?
Answer:
B) 24
Step-by-step explanation:
This angle adds to 90 degrees, so to solve for x you need this equation:
(2x) + 42 = 90
Subtract 42 from both sides to get:
2x = 48
Divide 2 from both sides to get:
x = 24
Hope it helps!!!
What is the first step to solve this equation 4m=44
F add 4 to both sides
G subtract 4 from both sides
H divide 4 on both sides
J multiply 4 on both sides
Answer: H
The first step is dividing 4 from both sides to find what m equals. By the way, its the only step :D
What angle is this?
Can anyone help me on this?
Answer:
[tex]x = 1, -5[/tex]
Step-by-step explanation:
[tex]f(x) = x^2 +4x - 5[/tex]
Factor the expression. Factoring is the process of writing out an expression by using other expressions such that when the other expression are multiplied together, the resulting expression is the initial expression.
[tex]f(x)=x^2+4x-5[/tex]
[tex]f(x)=(x+5)(x-1)[/tex]
Now set the expression equal to zero to find the roots (also known are zeros) of the expression. Use the zero product property to find the answers, the zero product property states that any number times zero is zero.
[tex]0=(x+5)(x-1)\\[/tex]
[tex]x=-5,x=1[/tex]
i need help so.. help me please? :)
Answer:
29.7079632679
Step-by-step explanation:
(31.415926535898/2)+8+6
What is the length of leg s of the triangle below? A. 2.2 B. 4 C. 32 D. 4 E. 1.5 F. 16
Answer:
s = 4
Step-by-step explanation:
Note that the triangle has 2 congruent base angles, both 45°
This means the triangle is isosceles with congruent legs, then
s = 4
Answer:4
Step-by-step explanation:
3)
The first number minus the second number
is always eight
Answer:
Well, I mean, that's a vague question. there are a ton of numbers where you can subtract a second number and have it equal eight. 15 - 7 = 8
Step-by-step explanation:
I AM IN GREAT DEED OF HELP RIGHT NOW
Answer:
$4.16
Step-by-step explanation:
8% of $52 is 4.16.
In total the item would cost $56.16.
All you do is 52 x .08 = 4.16
Make sure to divide the percentage (8/100=.08) before multiplying.
Hey I'm taking a math exam tomorrow please send words of encouragement please answer.
Answer:
did you study????? well if u did then why u scareddd shortteee.
Please help will mark brainliest:)
HLEP PLEASE PUT THEM IN THE CORRECT ORDER TRUE OR FALSE
Answer:
1. False
2. True
3. True
Step-by-step explanation:
Someone pls help im new :( tysm if u do:))
The answer to question 1/3 (-10)(9) is -30.
If this is incorrect, please, don't refrain to tell me. Thank you.
please help me this is geometry and i am so clueless!!!!!
Answer/Step-by-step explanation:
Problem 1:
E is the centroid of the triangle.
Centroid theorem states that the centroid is ⅔ of the distance of each vertex to the midpoint of the side opposite each vertex.
This implies that:
AE = ⅔(AD)
AE = 21
Therefore:
21 = ⅔(AD)
3*21 = 2(AD)
(3*21)/2 = AD
31.5 = AD
AD = 31.5
Problem 2: Apply the centroid theorem. Thus:
DE = ⅓(AD)
DE = 12
Therefore,
12 = ⅓(AD)
12*3 = AD
36 = AD
AD = 36
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!
Answer:
x = 10, y ≈ 11.2
Step-by-step explanation:
Hi there,
We can find the length x first since we are given the lengths of the other two sides of the bottom right triangle. In order to find the length of x, it is important to know the Pythagorean Theorem and the fact that x is the hypotenuse.
[tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex] ← Pythagorean Theorem
To find x:
[tex]6^{2}[/tex] + [tex]8^{2}[/tex] = [tex]c^{2}[/tex]
100 = [tex]c^{2}[/tex]
c = 10
Therefore, the value of x is 10.
To find y:
We now know the length of two sides of the upper right triangle. The value of y can be found by using the theorem again.
[tex]a^{2}[/tex] + [tex]10^{2}[/tex] = [tex]15^{2}[/tex]
[tex]a^{2}[/tex] + 100 = 225
[tex]a^{2}[/tex] = 125
a = [tex]\sqrt{125}[/tex]
a = 11.2 when rounded to the nearest tenth.
Therefore, the value of y is approximately 11.2.
Hope this explanation is useful. Cheers.
No links!!! Math help. Urgent
I need help please !
Answer:
Step-by-step explanation:
Remark
The lone dot on the graph that is between 8 and 9 thousand meters is Mount Everest. I think a good estimate is 8200 meters. Remember, this is just an estimate. You don't have to get it exactly right.
Question
How close is your estimate? When you look it up, Mt. Everest is given as 8849 meters, but don't use that number. They are looking for a number that is under 8500. Estimates are just that -- estimates.
Help me please I need this by 5:00 help me please
Answer:try doing the method
Step-by-step explanation:
A= Base Side
B= Base Side
C=Base Side
H=Height
HOPE THAT HELPS!
HELP BRAINLEST GUARANTEED
Answer:
6% , 800$
Step-by-step explanation:
to answer the question we can use this proportion :
x : 100 = 30 : 500
x = (100*30)/500
x = 6%
for calculate the amount after 10 years we can use this formula
A = P(1+rt)
where P indicates the initial amount, r the rate (in decimal) and t the time of investment
A = 500(1 + 0,06 x 10) = 500(1 + 0,6) = 500(1,6) = 800 $
△RST shows a city's plan for a new building near the beach that will have free surfboard rentals. Given that the area of △RST is x, complete the equation m∠T = sin–1 mn in terms of the variables x, r, s, and t. (will give 90 points for answer)
Answer:
yes. we do proportions in probabilities.
Answer from: Quest
the equation cos(35) =a/25 can be used to find the length of bc what is the length of bc? round to the nearest tenth
the number of the people going.
the cost to buy one movie ticket is $7. if the total cost for the movie is a function of how many people go, then the input is : the number of the people going.
Step-by-step explanation:
i hope one of these are right sorry if not
41,42,43,44,45,45,45,45
what number is the median?
what number is the mode?
Answer: Median: 44.5 Mode: 45
Step-by-step explanation: Median is the middle number. Since it's an even set, you add the two middle numbers and divide by two. The mode is just the number that appears the most.
HELP ASAPPP PLEASE AND IF U DO NOT KNOW THE ANSWER DONT ANSWER
———————-
A. small
B. medium
C. large
D. x-large
Answer:
he should bring more medium size
Step-by-step explanation:
please brainliest I was the first answer
BUENOS DÍAS PERRAsssssssss
Answer:
RRRAWRRRRRRRR
Step-by-step explanation:
Goodmorning you, how was your mf morning I geuss
if f(x) = -4(9/8)x, then what is the sum of its y-intercept and its value where x=1?
Answer:
when X=1 y = -9/2
Step-by-step explanation:
[tex] - 4 < \frac{9}{8} > {}^{1} = - 4 < \frac{9}{8} > = - \frac{ 36}{8} = - \frac{9}{2} [/tex]
The formula for the circumference of a circle is C = 2(pie symbol)r. Find the circumference of a circle with a diameter of 4 ft. to O A. 12.56 cm OB. 12.56 ft2 O c. 12.56 ft O D. 25.12 cm O E. 25.12 ft
Answer:
C) 12.56ft
Step-by-step explanation:
if diameter = 4 ft. then radius = 2 ft ( 1/2 diameter)
2 [tex]\pi[/tex] r = 2 x [tex]\pi[/tex] x 2 = 2 x 3.14 x 2 = 12.56 ft
Equipment with a cost of $634800 has an estimated salvage value of $30000 and an estimated life of 4 years or 14400 hours. It is to be depreciated by the straight-line method. What is the amount of depreciation for the first full year, during which the equipment was used for 3600 hours?
Answer:
$151,200
Step-by-step explanation:
According to the problem, calculation of the given data are as follows,
Cost of Equipment = $634,800
Salvage Value = $30,000
Estimated Life = 4 years
So, we can calculate depreciation for first year by using following formula,
Amount of depreciation = Depreciable base amount ÷ Estimated Life
Where, Depreciable base amount = Cost of Equipment - Salvage Value
= $634,800 - $30,000 = $604,800
By putting the value, we get
Amount of depreciation = $604,800 ÷ 4
= $151,200
The length of a rectangle is 6 inches longer than its width. The perimeter of the rectangle is 28 inches. If x represents the
width of the rectangle in inches, which equation can be used to find its value?
Answer:
2(x + (x+6)) = 28
Step-by-step explanation:
2x+2x+12 = 28
4x + 12 = 28
4x=16
x=4
width = 4
length = 10
Answer:
d. 2(x + 6) + 2x = 28
Step-by-step explanation: