name two pairs of congruent angles in the figure. Justify the answer. help please!
Answer: a. <aib & <bic
Step-by-step explanation: because those two angles are both 45 degrees, meaning they are congruent.
In the given options, there are two pairs of congruent angles in the figure. They are ∠AIB and ∠BIC according to the Equal Complements Theorem. ;∠AIC and ∠BID according to the Right Angles Congruent Theorem. Option a and c is the correct answer.
Congruent angles are angles that have the same measure. In other words, if two angles are congruent, it means that they have the same degree of rotation or the same amount of opening between their sides. Option a and c is the correct answer.
1. ∠AIB and ∠BIC according to the Equal Complements Theorem. The Equal Complements Theorem states that if two angles are complementary to the same angle (or congruent angles), then they are congruent to each other. In the figure, both ∠AIB and ∠BIC are complementary to angle ∠BIC. Therefore, according to the Equal Complements Theorem, ∠AIB and ∠BIC are congruent angles.
2. ∠AIC and ∠BID according to the Right Angles Congruent Theorem. The Right Angles Congruent Theorem states that all right angles are congruent. In the figure, both ∠AIC and ∠BID are right angles. Therefore, according to the Right Angles Congruent Theorem, ∠AIC and ∠BID are congruent angles. Therefore, the correct pairs of congruent angles in the figure are ∠AIB and ∠BIC, as well as ∠AIC and ∠BID.
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a) The bus fare of 8 passengers is Rs 640. If the fare is decreased by Rs 5 per passenger, how many passengers can travel for Rs 900?
Answer:
THE ANSWER IS 12 because :
640÷8=80
80-5=75
900÷75=12.
Total 12 passenger can travel for, Rs900.
What is ratio?Ratio basically compares quantities, that means it shows the value of one quantity with respect to the other quantity.
If a and b are two values, their ratio will be a:b,
Given that,
Fare of 8 passengers = Rs640
Therefore, fare of 1 passenger = 640/8 = Rs80
Since, the fare is decreased by Rs5 per passenger,
Therefore, new fare = 80 - 5 = Rs75
The number of passengers that can travel for, Rs900
= 900/75
= 12
Total 12 passenger can travel for, Rs900.
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hewo um what is 1804 divided by 12 and has anyone seen my hacker friend.
Answer:
150.333
Step-by-step explanation:
The three is repeated
The second angle in a triangle is 3 degrees less than twice the first angle. The third angle measures 8 degrees more than twice the first angle. FInd each angle
man this math sucks i have no idea i need points tho
Gary rents three DVDs each week at Fantastik Flicks. Write an algebraic expression for Wn, the total number of points earned in the nth week
For the nth week, the total points earned in the DVD rentals is [tex]p_n + 2[/tex]
Your question is not complete, it seems it is missing the following information below;
DVD rentals: 1 2 3
Total DVD points: 3 5 7
The number of points earned is a function of number of DVD rentals.
For the first DVD, the number of points earned;
[tex]n_1 = p_1 + c\\\\where;\\c \ is \ the \ constant \ point \ earned[/tex]
3 = 1 + c
3- 1 = c
2 = c
For nth week the total point earned is given as;
[tex]n_t_h = p_n + c\\\\n_t_h = p_n + 2[/tex]
Thus, for the nth week, the total points earned in the DVD rentals is [tex]p_n + 2[/tex]
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Here we have a problem with arithmetic sequences.
After a small online search, I've found that:
Fantastik Flicks gives: 3 points for the first rental, 5 points for the second rental, 7 points for the third rental
And so on.
We will find that the total of points in the n-th week is given by:
Wₙ = 15 + (n - 1)*18
Looking at the number of points given for each rental, we can see that we have an arithmetic sequence with an increase of 2, 3, 5, 7, 9, 11, 13, 15,...
We want to find the total of points earned in each week. For example, for the first week the total of points is: W₁ = (3 + 5 + 7) = 15
For the second week, the total of points is: W₂ = (9 + 11 + 13) = 33
For the third week, the total number of points is: W₃ = (15 + 17 + 19) = 51
Now let's see if Wₙ also is arithmetic. To see this, we need to look at the difference between consecutive elements of Wₙ.
W₂ - W₁ = 33 - 15 = 18
W₃ - W₂ = 51 - 33 = 18
So in both cases we got the same difference, this makes a lot of sense, taking in account that we construct the Wₙ with an arithmetic sequence, so is logical that the sequence {Wₙ} is also arithmetical.
Now that we know this, we can see that in the n-th week, the total of points will be: Wₙ = W₁ + (n - 1)*18Wₙ = 15 + (n - 1)*18
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What is the value of X?
Answer:
5 * sqrt(3)
Step-by-step explanation:
The sine of 60 degrees is equal to x/10 because x is opposite to it and 10 is the hypotenuse. Since the sine of 60 degrees is equal to sqrt(3)/2, sqrt(3)/2 = x/10. Because 5sqrt(3)/10 = sqrt(3)/2, 5sqrt(3)/10 = x/10 and therefore 5sqrt(3) = x.
100 students are interviewed to see which of biology, chemistry or physics they prefer. 29 of the students are girls. 9 of the girls like biology best. 20 of the boys prefer physics. 9 out of the 27 who prefer chemistry are girls. What percentage of the students prefer biology?
Help would be highly appreciated! <3
Answer:
42%
first we find the totals of each gender which was indicated that there are 29 girls in total ...making it 71 boys there to make100 students .
then it is shown that 9 girls like biology and boys ...anon
20 boys prefer physics and out of the 29 students who like chemistry ..18 are boys which now gives us 38 boys out of 71 .
to get the boys who like biology u subtract 38 from their total which is 71 to get 33.
33 + 9 = 42
42/100 = 42%
A swimming pool is 50 m long and 25 m wide. It is 1.2 m deep at shallow end and 2 m deep at the other end.
Answer:
the answer is in picture
help please!!!!!!!!!!!!!! im bad at math
Answer:
[tex]thank \: you[/tex]
Answer:
5k 1/2
Step-by-step explanation:
here you go!!!!!!!!!!!!!!
B is on line AC. If AC = 28, AB = x^2+2x, and BC = x, Find the value of x and AB
X = 4
Step-by-step explanation:
AB + BC = AC
x^2 +2x + x = 28
×^2 + 3× - 28 = 0
Step 1: Factor left side of equation.
(x−4)(x+7)=0
Step 2: Set factors equal to 0.
x−4=0 or x+7=0
x=4 or x=−7
x = 4 is the correct answer because the distance cant be negative
(solving rates) At a school camp
there is enough
food for 150
students for 5
days. a How long
would the food last
if there were only
100 students? b If
the food ran out
after only 4 days,
how many
students attended
the camp?
f(x)= −x^2 + x + 14 Find f(2)
Answer:
f(2) = 12
Step-by-step explanation:
f(x = −x^2 + x + 14
Plug in:
f(x) = −2^2 + 2 + 14
Solve:
f(x) = −2^2 + 2 + 14
f(x) = -4 + 2 + 14
f(x) = -2 + 14
f(x) = 12
Hope this helped.
Answer:
20
substitute x for 2 in the equation
f(2)= (-2)^2 + 2 + 14
= 4+2+14
= 20
Need help ASAP pls pls!!!!!!
Answer:
60
Step-by-step explanation:
the total games that Sara played =
14+18+28 = 60
Can someone give me the answer.
Answer:
1 inch
Step-by-step explanation:
Basically cause both b and c tend to form an equidistant triangle which makes them have the same distance
6 times the sum of z and 5
Answer:
5
⋅
(
n
+
1
)
Explanation:
To write Five times the sum of a number and one you first make "a number" into a variable. In this case let's call it
n
.
Next let's create the sum of a number and one. This would be:
n
+
1
.
Then to get five times this number we need to multiple this expression by five to get:
5
⋅
(
n
+
1
)
Step-by-step explanation:
(5x² +7xy+10y²) (5x-7y)
I dont even know anything about math
2 2. Solve. Show your work. Harry can swim 20 laps in a pool in 18 minutes (swimming at a constant speed). How many laps could he swim in 45 minutes? (Swimming with the same speed.)
Answer:
there will be 50 laps in 45 minutes.
Step-by-step explanation:
Laps in 18 minutes=20
Caculate laps for 1 minute:
Laps in 1 minute=20/18
Now ,calculate laps for 45 minutes:
Laps in 45 minutes=20/18 × 45
= 50
Note: if you have any question about it you can ask.Thanks
The price of an item is 33.10 You give the cashier two $20 bills. What is the change?
Answer:
answer) the change is $7.90
A. Tai, Jorge,mike Gwen
B. Gwen, Jorge, mike, tai
C. Tai, mike, Gwen, Jorge
D. Gwen, mike, Jorge, tai
Is 2πr (2r+√(h^2+4r^2 ) ) over πr(r+√(h^2+r^2 )) a simplified algebraic ratio?
Answer : 1+1 = 11
22+22 = 2222
What symbol is used to show that two figures are congruent ?
Answer:
~
=
Step-by-step explanation:
There are 6 rental cars available for 18 riders, each holding either 2 or 4 riders. how many rental cars hold exactly 2 riders?
Answer:
Cars for 2 riders are 3
Step-by-step explanation:
I. When total riders is 18
4(3) = 12 => Cars for 4 riders
2(3) = 6 => Cars for 2 riders
Got more question or something to discuss, leave comment below
19 of 25 QID: 94600
For the function f(x) = x2 + 4, identify the values of f(0), f(1/2), and f(−1).
0; 19/4; 5
0; 19/4; 3
4; 17/4; 5
4; 17/4; 3
Answer:
4; 17/4; 5
Step-by-step explanation:
For f(0)
Replace all x to 0:
f(0)=0^2+4
4
For f(1/2)
1/2^2+4
Which is 17/4
For f(-1)
-1^2+4
Which is 5
Hope this helps!
Given 12 consecutive integers, how many ways can three of these integers be selected to give a sum which divides by 4.
Disclaimer: A lot of points to be given, Full explanation required. Not only answer.
[tex]\\ \rm\longmapsto ^nC_r=\dfrac{n!}{r!(n-r)!}[/tex]
[tex]\\ \rm\longmapsto ^{12}C_3[/tex]
[tex]\\ \rm\longmapsto \dfrac{12!}{3!(12-3)!}[/tex]
[tex]\\ \rm\longmapsto \dfrac{12!}{3!(9!)}[/tex]
[tex]\\ \rm\longmapsto \dfrac{12(11)(10)(9!)}{3!(9!)}[/tex]
cancel 9![tex]\\ \rm\longmapsto \dfrac{12(11)(10)}{3!}[/tex]
[tex]\\ \rm\longmapsto \dfrac{1320}{3(2)(1)}[/tex]
[tex]\\ \rm\longmapsto \dfrac{1320}{6}[/tex]
[tex]\\ \rm\longmapsto 220[/tex]
(7x2 - 2x - 5)(3x2 + 2x - 3)
Step-by-step explanation:
I think this answer will be correct
if BC = 6x-16 and CD = 4x + 10, then x = ?
Answer:
13
Step-by-step explanation:
BC and CD are equal, so both equations will equal eachother.
6x - 16 = 4x + 10
+16 +16
------------------------
6x = 4x +26
-4x -4x
------------------------
2x = 26
---- -----
2 2
x = 13
Hope this helped.
Convert 402.12 to a fraction
Answer:
40212/100
Step-by-step explanation:
To write 402.12 as a fraction you have to write 402.12 as numerator and put 1 as the denominator. Now you multiply numerator and denominator by 10 as long as you get in numerator the whole number.
402.12 = 402.12/1 = 4021.2/10 = 40212/100
And finally we have:
402.12 as a fraction equals 40212/100
answer:
[tex]\frac{10053}{25}[/tex]
first, you would convert 402.12 to a mixed number by placing the numbers to the right of the decimal over 100. and then reduce the fraction.
you would get [tex]402\frac{3}{25}[/tex]
convert the mixed number to an improper fraction:
25×402+3=10053
and lastly, place your new numerator over the original denominator:
[tex]\frac{10053}{25}[/tex]
A square section of a kitchen floor is made of
64 square tiles. How many tiles are on each
side of the square section of the kitchen floor?
The first flock contained 5283 birds . The second contained 5 times as many birds the third flock had twice as many birds as the second flock . How many birds were there in all?
Answer:
84528 birds
Step-by-step explanation:
number of birds in the 2nd flock = 5283 * 5 = 26415
number of birds in the 3rd flock = 26415 * 2 = 52830
total = 5283 + 26415 + 52830 = 84528
HELP DETERMINE THE RANGE OF THE FOLLOWING GRAPH … I WILL MARK BRAINLIEST