Triangle H J K is cut by line segment A B. Line segment A B goes from side H J to side H K. The length of H A is 5. 25 inches, the length of H B is 3 inches, and the length of B K is 5 inches. What is the length of Line segment A J if Line segment A B is parallel to lines segment J K? 8 in. 8. 75 in. 10. 25 in. 14 in.
The segments on triangle HJK are illustrations of equivalent ratios
The length of line AJ is 8.75 inches
The given parameters are:
[tex]H A = 5.25[/tex]
[tex]HB = 3[/tex]
[tex]BK = 5[/tex]
Because lines AB and JK are parallel lines, then we have the following equivalent ratios
[tex]HA:HB = AJ:BK[/tex]
Substitute values for length HA, HB and BK.
[tex]5.25:3 = AJ:5[/tex]
Express both ratios as fractions
[tex]\frac{5.25}{3} = \frac{AJ}5[/tex]
Multiply both sides by 5
[tex]\frac{5.25}{3} \times 5= AJ[/tex]
[tex]8.75= AJ[/tex]
Rewrite as:
[tex]AJ = 8.75[/tex]
Hence, the length of line AJ is 8.75 inches
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Sleeper Class coaches of the Indian Railways have a seat numbering arrangement as shown
below. Each 'cubicle' seats 8 people as shown.
WINDOW SIDE
4
10
Middle
Seats
2.
6
3
AISLE (PASSAGE)
8
SIDE SEATS
7
Ramesh and his parents have 3 tickets and their seat numbers are 29, 30 and 31. What are their
seats?
A One aisle, one window, one middle seat.
B One middle, one aisle and one side seat.
C One aisle and two side seats
D Two side seats and one window seat
I WILL GIVE 30 POINTS TO THOSE WHO FILL IN THE BLANK CORRECTLY
Answer:
x=7
Step-by-step explanation:
by pythagoras, 25^2=24^2+x^2
solve for x
what is i to the power of 5
Answer: What does I stand for? If you meant 1, 1 to the power of 5 is 1.
Answer:
i
Step-by-step explanation:
i^5=(i)(i)(i)(i)(i)
Since i^2=(i)(j)=-1,
it follows that i^4=(i^2)(i^2)=(-1)(-1)=1.
Thus i^4*i=i^5=1*i=i.
Therefore, i^5=i.
Which graph represents the function y= 2x – 4?
GIF
st
4
3
3
-3
...2
2+
2
1
+
-3 -2 -1
2
5 4 -3 -2 -1
2
3
-5 -4 -3 -2 -1
2
-2
-2
O
Answer:
4
Step-by-step explanation:
The graph of the function is attached in the solution.
What is graph?A graph is a diagram or a pictorial representation of data or values that show the relationship between quantities or objects.
Given is an equation, y = 2x-4, we need to determine its graph,
So, for the same, finding the coordinates,
y = 2x-4
Put x = 0
y = -4
(0, -4)
Put x = 1
y = -2
(1, -2)
Put the coordinates on the graph and the join them, the line obtained by this will represent the graph of the function given.
Hence. the graph of the function is a straight line.
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PLS HELP!!!! Mrs Gonzalez decides to write an algorithm that her employees follow when they open her store each day. What should be the first step of Mrs. Gonzalez process?
A. Check errors
B. Write a list of steps
C. Be sure that she understands every part of the situation
D. Think about what other situations could use an algorithm
Answer:
Write a list of steps
Step-by-step explanation:
Pls mark me brainliest! Tnx
which quadratic inequality does the graph below represent?
y> or equal to x^2-3.
y< or equal to x^2+3.
y< or equal to x^2-3.
y> or equal to x^2+3
Answer:
y< or equal to x^2-3.
I hope it helps.
Please tell me the answer
Answer:
16 it's answer
Step-by-step explanation:
√121 + ³√125
11+5
16
how do you find the height of the base
Answer: the height of a triangle can be determined in many different ways depending on whether it's a right triangle, isosceles triangle (a triangle with two equal sides), or equilateral triangle.
Step-by-step explanation:
Step-by-step explanation:
The formula for the Area of a triangle is A = (1/2)bh where b is the base an h is the height. Since the triangle is a right triangle, the base and height are the two shorter sides
Plz help me! 25 POINTS!
Answer:
g(x) = 24(2^(x-1)) +16
Step-by-step explanation:
A function is stretched vertically by a factor of 'a' by multiplying by 'a'.
g(x) = 4·f(x) = 4(6(2^(x-1) +4)
g(x) = 24(2^(x-1)) +16
I need help correct answers plzz
Step-by-step explanation:
Pythagoras, Pythagoras, Pythagoras.
c² = a² + b²
for c being the Hypotenuse (the side opposite of the 90 degree angle).
that is something you should really burn into your brain for life. you will need that many times.
1.
89² = 80² + side²
side² = 89² - 80² = 1521
side = sqrt(1521) = 39 ft
2.
D
because here the x value of 2 has to different assigned result (y) values. but for a function it had to be exactly 1 value.
3.
the longer of the 2 given sides must be the Hypotenuse, because otherwise we would get a negative length.
97² - 72² = side² = 4225
sqrt(4225) = side = 65 cm
4.
the distance between 2 point is the Hypotenuse of a right-angled triangle, with its legs being the differences in x and y coordinates.
F = (-1, 6)
G = (3, 4)
FG² = (-1 - 3)² + (6 - 4)² = 16 + 4 = 20
FG = sqrt(20) = 4.472135955... ≈ 4.5
so, A is the right answer.
5.
that creates a right-angled triangle, with the flag pole and the distance on the floor to the flag pole as the legs, and the rope as Hypotenuse.
rope² = 53² + 28² = 3593
rope = sqrt(3593) ≈ 60 ft
6.
A
85² = 36² + 77²
7225 = 1296 + 5929 = 7225
correct. this is a right-angled triangle.
B
101² = 99² + 20²
10201 = 9801 + 400 = 10201
correct. this is a right-angled triangle.
C
123² = 120² + 27²
15129 = 14400 + 729 = 15129
correct. this is a right-angled triangle.
D
42² = 33² + 24²
1764 = 1089 + 576 = 1665
incorrect.
1764 - 567 = 1089 ?
1197 = 1089
also incorrect.
as is 1764 - 1089 = 567 and 1089 - 567 = 1764
so, this is not a right-angled triangle.
7.
the sum of all angles in a triangle (also in general triangles) is always 180 degrees.
since the right angle is already 90 degrees, it leave only 90 degrees for the other 2 angles.
A is the only correct option. 25 + 65 = 90.
8.
BC = 13
AC = 3
AB² = AC² + BC² = 3² + 13² = 9 + 169 = 178
AB = sqrt(178) = 13.34166406... meter
the tree was then originally
3 + 13.34166406... = 16.34166406... meter high
12.1.1
35² = 21² + side²
side² = 35² - 21² = 1225 - 441 = 784
side = sqrt(784) = 28 m
12.1.2
side² = 16² + 30² = 256 + 900 = 1156
side = sqrt(1156) = 34 ft
12.2.3
61² = 60² + 11²
3721 = 3600 + 121 = 3721
correct. this is a right-angled triangle.
12.2.4
40² = 37² + 9²
1600 = 1369 + 81 = 1450
incorrect. this is not a right-angled triangle.
neither is 1600 - 1369 = 81 nor 1600 - 81 = 1369 nor 1368 - 89 = 1600
12.2.5
38² = 35² + 15²
1444 = 1225 + 225 = 1450
incorrect. this is not a right-angled triangle.
neither is 1444-1225=225 nor 1444-225=1225 nor 1225-225 = 1444
12.2.6
53² = 45² + 28²
2809 = 2025 + 784 = 2809
correct. this is a right-angled triangle.
12.3.8
the x and y coordinate differences between A and B are 6 and 3.
AB² = 6² + 3² = 36 + 9 = 45
AB = sqrt(45) = 6.7
12.3.9
the x and y coordinate differences between B and C are 1 and 7.
BC² = 1² + 7² = 1 + 49 = 50
BC = sqrt(50) = 7.1
12.3.10
the x and y coordinate differences between A and C are 5 and 4.
AC² = 5² + 4² = 25 + 16 = 41
AC = sqrt(41) = 6.4
final question : you need that in many distance calculations, side lengths, diagonals, heights,... for rooms, yards, acres, buildings, mountains, ...
If triangle ABC is congruent to DEF, then what side is congruent to BC?
A. FD
B. EF
C. ED
D. CA
Answer:
EF
Step-by-step explanation:
BC is the hypotenuse of the left triangle. The corresponding side on the right triangle would be EF.
Answer:
EF
Step-by-step explanation:
The corresponding side to BC is EF.
Look at the bolded letters
ABC ⇒ DEF
notice the similarities?
help please
The serving size for a toddler’s daily vitamin C is 4/5 cup of orange juice. If there are 3 1/4 cups of orange juice, how many servings of vitamin C are there for a toddler? Show your work
Answer:
3
Step-by-step explanation:
First you change 2 1/4 into an improper which is 9/4. Then you do KFC(Keep Change Flip) 9/4 x 4/3=36/12. THEN YOU SIMPLIFY=9/3,that can still be simplified so the final answer is 3.Its 3 because there are 3 wholes in 9/3.
The area of the rectangular floor of a shed is 40 space y d squared. The length of the shed is (x+2) yd and the width of the shed is (x-1) yd. Find the dimensions of the shed. Provide justification for each step. You can use the Sketch tool, or hand-write your algebraic proof, or type your answer. But you need to provide all the steps, with justification for each step, to get credit for this problem.
Answer:
x=3
Step-by-step explanation:
3 squared is 9. 9 plus 2 times 2=22 each of the sides on the angle are 11. 22 plus 22= 44. then 3 -1 equals 2. 44 minus 4 equals 40. equaling the area
3 In AABC, 2C = 90°, then which of the following is true? a) ABP = BCP + AC b) AC2 = AB? + BC2 c) BC2 = AB? + ACP d) AC = AB + BC
Answer:
a bit hard q
Step-by-step explanation:
becoz i am not good at algebra
help please anybody which too are correct
the 1st and 2nd ones r correct
Step-by-step explanation:
hope this helps
Please find the surface area of the
Prism... I will mark you brainliest
Answer:
The formula for the surface area of a prism is obtained by taking the sum of (twice the base area) and (the lateral surface area of the prism). The surface area of a prism is given as S = (2 × Base Area) + (Base perimeter × height) where "S" is the surface area of the prism.
Step-by-step explanation:
Hope it's help
Eight times a certain number plus ten is equal to twelve times the same number minus seven
Im so confused of what to do?
if you're good at maths please help
with steps
Answer:
you need to show the number is prime
Step-by-step explanation:
To show 2^7 -1 is prime, you have to show it is not divisible by any prime less than its square root. That root is approximately 2^(7/2) = 2^3×√2 ≈ 11.3.
The primes of in that range are 2, 3, 5, 7, 11. The prime we're testing is ...
2^7 -1 = 128 -1 = 127
The sum of digits is 10, which is not a multiple of 3: not divisible by 3.
The units digit is 7, not 0 or 5: not divisible by 5.
The test for divisibility by 7 is to subtract twice the units digit from the rest of the number: 12 -2(7) = -2. This is not 0 or a multiple of 7, so 127 is not divisible by 7.
We know that 11² = 121, so 127 is not divisible by 11.
All of the tests for primality pass, so 2^7 -1 is a Mersenne prime.
_____
Additional comment
It is known that 2^n -1 being prime requires n to be prime. (The converse is not true: 2^11 -1 = 2047 = 23×89 is not prime.) The discovery of Mersenne primes is an ongoing process involving thousands of computers around the world. Only about 50 such primes are known.
You will notice that we have made use of some divisibility rules in order to simplify the process of dividing by small numbers. These can be helpful in many situations, so can be useful to learn.
can someone please help me
Answer:
angle A=30°
angle B=60°
angle C=90°
Step-by-step explanation:
given : A=30°,C=90° the mark states it is 90°
find :C=?
A+B+C=180°
30°+90°+x°=180°
=120°+x°=180°
=120°-120°+x°=180°-120°
=x°=60°
Add. Use models if needed. (-3x - 7) + (4x + 7)
-3x-7+4x+7
Negative -7 and positive 7 will give you 0.
So we're left with x. Therefore, the answer is x.
Help Asap I am stuck
suppose the value of an investment increases 12% per year and the investment has a current value of 33,00.00 which equation models the value of this investment after x years?
Answer:
bro pls someone hurry i need help
Step-by-step explanation:
yeah I didn't pay attention today
WILL GIVE BRAINLIEST
Select the graph of the solution. Click until the correct graph appears.
| x | = 2
Answer:
It is the second graph, the one with two filled in dots, but no line.
Step-by-step explanation:
The reason it is not the first one is because it has not filled in dots, AND no line, so it's basically saying there is no answer, which is not true.
The reason the third one (the one with a line) is wrong is because, for example, x cannot be 1, because 1 ≠ 2, and if there is a line, it should be true.
Answer:
its the awnser with the 2 not the -2
Step-by-step explanation:
help ASAP please PLS
Answer:
-103
Step-by-step explanation:
Just subtract
Answer:
-103
Step-by-step explanation:
You add all the numbers then put the negative sign.
Match the sentences below to the correct vocabulary word.
rational number
1. A decimal that ends in zero is a —
2. 0.7 is a __
terminating decimal
3. Ifx is not a rational number, it must be a(n) —
repeating decimal
irrational number
4. x is a terminating decimal, so it must also be a
Answer:
1) terminating decimal
2) 0.7 is a terminating decimal
3) a non-terminating, non-repeating decimal
4) a rational number
Step-by-step explanation:
Which number line model represents the expression -\dfrac23+\left(-\dfrac13\right)−
3
2
+(−
3
1
)minus, start fraction, 2, divided by, 3, end fraction, plus, left parenthesis, minus, start fraction, 1, divided by, 3, end fraction, right parenthesis?
Choose 1 answer:
Answer:
: If you cut it in 2 equal-sized pieces and eat one, you have eaten ... whole number - you will get a fraction equivalent to 1/ 2
Answer:
XD yall all ways doing this to me so yall somthings don't give me the Answer
Step-by-step explanation:
PLEASE HELP AS SOON AS POSSIBLE I NEED TO SUBMIT THIS IN 10 MINUTES!!!!
IT GIVES 20 points!!!
Answer:
1. A. falling asleep
2. D. taking more time to wind down before bedtime
3. B. There is more than one reason that people have trouble sleeping.
4. C. The problem of falling asleep has been around for a long time and affects many people
5. A. why kids have trouble falling asleep and what they can do about it
6. A. something done over and over
Step-by-step explanation:
56:32=k:28 what is k?
Therefore, k = 49.
Hoped this helped.
[tex]-BrainiacUser1357-[/tex]
can someone pls help quick
True
False - 25% of 50 is 12.5
False - 70% of 80 is the same as 7/10
True