Answers
Answer:
Both triangles are triangle rectangles, but the triangles are not similar.
Step-by-step explanation:
By the Pythagorean's theorem, we know that for a triangle rectangle the sum of the squares of the cathetus is equal to the square of the hypotenuse.
Where the cathetus are always the two sides of smaller length.
We also know that two figures are similar if all the correspondent sides are proportional to each other, this means that the figures have the same shape but different size.
First, for triangle A the measures of the sides are:
48, 55, 73
Here the two catheti are 48 and 55, and the hypotenuse is 73.
Then to answer the first question we need to try to apply the Pythagorean's theorem, we should have:
48^2 + 55^2 = 73^2
solving that we get:
5,329 = 5,329
This is true, thus triangle A is a triangle rectangle.
Now for triangle B the measures are: 36, 77 and 85.
So the catheti are 36 and 77, and the hypotenuse is 85
So to check if triangle B is a triangle rectangle the equation:
36^2 + 77^2 = 85^2
must be true, solving both sides we get:
7,225 = 7,225
This is true, so triangle B is a triangle rectangle.
Finally, to check if the figures are similar we need to compare the correspondent sides of both triangles, such that the quotient of correspondent sides must be always the same.
For the hypotenuses, if we compute:
(hypotenuse B)/(Hypotenuse A) we get:
85/73 = 1.16
Now if we do the same for the two smaller catheti we get:
36/48 = 0.75
The quotients are different, thus the triangles are not similar.
Related Questions
Show A and Show B are two of the most popular television shows of all time. The number of episodes of each show are consecutive even integers whose sum is 570. If there are more episodes of Show A, how many episodes of each were there?
Answers
Answer:
A = 286 episodes
B = 284 episodes
Step-by-step explanation:
Let n = the [tex]\text{number of episodes}[/tex] of show B
n + 2 = the [tex]\text{number of episodes}[/tex] of show A
Therefore, according to the question,
The sum of the number of the episodes of each show are consecutive even integers = 570
Therefore,
n + n + 2 = 570
2n + 2 = 570
2n = 568
n = 284
Therefore, the number of episodes for B = 284
The number of episodes for A = n + 2 = 284 + 2
= 286
HELP ASAP
The highest Common Factor of two prime numbers is 1. *
Is that true or false???
Answers
Answer:
True
Step-by-step explanation:
For example:
HCF of 2 and 3 is 1
Answer:
true
Also i need help with
https://brainly.com/question/24136412?answeringSource=feedPublic%2FhomePage%2F1
EXPAND AND SIMPLIFY
Answers
Answer:
5⁴a²
Step-by-step explanation:
(5³a³)÷5a-¹×5-²a²
5³a³÷5a-¹×5-²a²
5³a³÷5¹-²×a-¹+²
5³a³÷5-¹a
5³a³/5-¹a
5³-(-¹)a³-¹
5⁴a²
Find P(0), P(1) and P(2) for each of the following polynomial.
[tex]p(y) = 2 + y + 2 {y}^{2} - {y}^{3} [/tex]
Answers
[tex] \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ [/tex]
[tex] \sf \: p(y) = 2 + y + 2y {}^{2} - y {}^{3} [/tex]
[tex] \sf \: p(o) = 2 + (o) + 2(o) {}^{2} - (o) {}^{3} = 2 + 0 + 0 - 0 = 2 [/tex]
[tex] \sf \: p(1) = 2 + (1) + 2(1) {}^{2} - 1 {}^{3} = 2 + 1 + 2 - 1 = 4 [/tex]
[tex] \sf \: p(2) = 2 + 2 + 2(2) {}^{2} - 2 {}^{3} = 4 + 8 - 8 = 4 [/tex]
Maria made $273 for 13 hours of work. at the same rate, how many hours would she have to work to make $189?
Answers
Answer:
9 hours
Step-by-step explanation:
$273/13 hours=$21 per hour
$189/$21 =9 hours
!PLS HELP I WILL GIVE BRAINLEST!
The net of a rectangular prism is shown
What is the surface area of this prism?
Answers
The answer would be 18 square units
Step-by-step explanation:
When talking about surface area, just add up all the units that is listed in the question. - just a tip ;)
Anyways, Hope this helps!! If it's wrong, feel free to curse me out.. haha...
This is confusing I need help!
Answers
Answer:
B. The dependent variable is the amount of of money he earns and the independent variable is the number of hours he babysits.
Step-by-step explanation:
The amount of money he earns depends upon the amount of time he babysits.
?? I got 5 minutes left, please help.
Answers
Answer:
Here we know that:
[tex]m(v) = \frac{M_0}{\sqrt{1 - \frac{V}{C} } }[/tex]
Where V is the speed, C = 3*10^8 m/s
We want to solve:
[tex]m(v) = \frac{M_0}{\sqrt{1 - \frac{V}{C} } } = 2*M_0[/tex]
We can just isolate V from the above equation, so we will get:
[tex]\frac{M_0}{\sqrt{1 - \frac{V}{C} } } = 2*M_0[/tex]
[tex]\frac{1}{\sqrt{1 - \frac{V}{C} } } = 2[/tex]
[tex]1 = 2\sqrt{1 - \frac{V}{C} }[/tex]
[tex](1/2)^2 = 1 - \frac{V}{C}[/tex]
[tex]V = (1 - (1/4))*C = (3/4)*C = (3/4)*3*10^8 m/s = (9/4)*10^8 m/s[/tex]
That is the velocity such that the effective mass is twice the rest mass.
a winery has a vat with two pipes leading to it. the inlet pipe can fill the vat in 6 hours, while the outlet pipe can empty it in 10 hours. how long will it take to fill the vat if both pipes are left open? (in hours)
Answers
Answer:
15 hours
Step-by-step explanation:
1vat/6hours - 1vat/10hours = 1vat/xhours
1/6 - 1/10 = 1/x
Use common denominator of 30
5/30 - 3/30 = 1/x
2/30 = 1/x
1/15 = 1/x
Cross multiply
x = 15 hours
can some 1 help me with this q
Answers
To find this answer all you have to do is multiply fractions. Multiply the numerator by the numerator and the denominator by the denominator.
4 x 2 = 8 5 x 9 = 45
This gives you 8/45.
8/45
Hope this helped!!
Which of the following is the square of a binomial?
Answers
Answer:
[tex]16 {x}^{2} + 24xy + 9 {y}^{2} [/tex]
Step-by-step explanation:
U can reduce this into
[tex](4x + 3y) {}^{2} [/tex]
Which is a square.
Now,
16x^2 + 24xy + 9y^2
16x^2 + 12xy + 12xy + 9y^2
4x ( 4x + 3y ) + 3y ( 4x + 3y )
( 4x + 3y ) ( 4x + 3y )
( 4x + 3y )^2
I hope you understand...
Mark me as brainliest...
plsssssss i’ll also rate brainlist
Answers
Answer:
6
Step-by-step explanation:
Basically do
2^3 -3*2+4.
and that is the last line of the function since x is greater or equal to 2.
if you are confused, I replaced x with 2 since it was h(x) and it became h(2)
2^3 = 8
8-3*2+4
-3*2 = -6
8-6+4
8-6 =2
2+4 = 6
I hope this helps you
2n-3>15, select all values of n would make this inequality true, options are 2, 5, 9, 10, 12
Answers
9514 1404 393
Answer:
{10, 12}
Step-by-step explanation:
The inequality can be simplified to ...
2n -3 > 15 . . . . given
2n > 18 . . . . . . add 3
n > 9 . . . . . . . . divide by 2
Only two listed numbers are greater than 9:
10, 12
W
Which triangle has 0 reflectional symmetries?
1
Next
Submit
Save and Exit
Answers
Answer:
Step-by-step explanation:
Must be the scalene triangles because they do not have a line of symmetry.
The sides of a scalene triangle are different measurements and there is no line along which you can fold the triangle and get a perfect overlapping.
A bag contains 9 red marbles, 6 white marbles, and 8 blue marbles. You draw 4 marbles out at random, without replacement. Find the following probabilities and round to 4 decimal places.
a. The probability that all the marbles are red is
b. The probability that none of the marbles are red is
Answers
Step-by-step explanation:
here are the answers bae. Feel free to ask for more
Write an equation and solve for x. Show all your work.
Answers
Answer:
X= 24º
Explanation:
A straight line is 180º so, 180º - 151º = 29º - 5º = 24º
Quadrilateral GHIJ is similar to quadrilateral KLMN. Find the measure of
side KL. Round your answer to the nearest tenth if necessary.
N
17
M
52.5
I
K
G
L
37
H
Answers
Answer:
36
Step-by-step explanation:
PLEASE SOMEONE HELP ME ILL MARK BRAINLESS AND PLEASE EXPLAIN AHHHH HELP
Answers
Answer:
angle 2 is 92 degree
Step-by-step explanation:
-8x + 144 = 2x + 74 (being alternate exterior angles)
-8x - 2x = 74 - 144
-10x = -70
x = -70/-10
x = 7 degree
2x + 74 + angle 2 = 180 degree (being linear pair)
2*7 + 74 + angle 2 = 180
14 + 74 + angle 2 = 180
88 + angle 2 = 180
angle 2 = 180 - 88
angle 2 = 92 degree
Answer:
92
MARK ME BRAINLIEST THANKS MY ANSWER PLEASE DO
A cone has a height of 3 feet. The diameter of the base is 8 feet. What is the approximate volume of the cone in feet to the nearest hundreth?
Answers
Answer:
12.56 feet cubed
Step-by-step explanation:
Diameter of 8= radius of 4
4 x 3.14=12.56
12.56x3=37.68
37.68/3=12.56
Find x. Round to the nearest tenth: 29° 500ft
X=[?]ft
Answers
9514 1404 393
Answer:
437.3 ft
Step-by-step explanation:
The relevant trig relation is ...
Cos = Adjacent/Hypotenuse
cos(29°) = x/(500 ft)
x = (500 ft)cos(29°)
x ≈ 437.3 ft
A veterinary assistant is working at a shelter that houses 53 animals. The shelter uses 1,484 pounds of food each month. How much on average does each animal consume per day in a 28-day month
Answers
Answer:
Each = 1 lb per animal
Step-by-step explanation:
Given
[tex]Animals = 53[/tex]
[tex]Food = 1484lb[/tex]
Required
Daily consumption of each animal in a 28-day month
First, we calculate the daily consumption of all animals
[tex]All = \frac{Food}{28}[/tex]
[tex]All = \frac{1484lb}{28}[/tex]
[tex]All = 53 lb[/tex]
The consumption of each animal is then calculated as:
[tex]Each = \frac{All}{Animals}[/tex]
[tex]Each = \frac{53lb}{53}[/tex]
Each = 1 lb per animal
How do I factor this equation fully?
Answers
hope that answers your question and best of wishes!!
What equation can you write to solve for x?
Answers
Answer:
(3x) ° + (x+ 10)° = 90°
Step-by-step explanation:
(3x) ° + (x+ 10)° = 90°
3x + x + 10 = 90
4x = 90 - 10
4x = 80
x = 20
(3x) ° = 3 x 20 = 60°
(x + 10)° = 20 + 10 = 30°
Answer: you can either do 3x°(x+10)° or (x+10)°+3x°
the choice is yours. Hope this helps
Joey has 2/3 of a gallon of ice cream. He divides the ice cream for his friends so that 1/9 of a gallon is in each bowl. How many bowls will he use?
A. 6
B. 1/6
C. 27
D. 1/9
Answers
Answer:
Joey will use 6 bowls.
Step-by-step explanation:
We have to divide to solve.
What is [tex]\frac{2}{3}[/tex] ÷ [tex]\frac{1}{9}[/tex] ?
When you divide fractions you just multiply by the reciprocal (the fraction flipped.)
[tex]\frac{2}{3}[/tex] ÷ [tex]\frac{1}{9}[/tex] = [tex]\frac{2}{3}[/tex] × [tex]\frac{9}{1}[/tex]
[tex]\frac{2}{3}[/tex] × [tex]\frac{9}{1}[/tex] = [tex]\frac{18}{3}[/tex]
[tex]\frac{18}{3}[/tex] = 6
Joey will use 6 bowls.
If x=28°, find the measures of angles 1, 2, and 3.
Answers
Answer:
1 = 62 degrees
2 = 90 degrees
3 = 62 degrees
Step-by-step explanation:
hope this helps! have a great day!
PLEASEEE HELP ME I WILL MARK YOU JF YOU HELP ME PLEASE
Answers
Given:
A figure of a construction.
To find:
The correct option that represent the given construction.
Solution:
We know that, if a transversal line intersect two parallel lines, then the corresponding angles are equal.
In the given figure, two corresponding angles are constructed by using the compass.
Since the corresponding angles are equal, therefore the construction represents the parallel lines through a point.
Therefore, the correct option is B.
What's the area of the trapezoid
Answers
Answer:
i dont know just study hard bro
Step-by-step explanation:
Answer:
A =36 ft^2
Step-by-step explanation:
The area of a trapezoid is given by
A = 1/2 ( b1+b2)h where b1 and b2 are the lengths of the bases
A = 1/2 ( 13+5) *4
A = 1/2 ( 18)*4
A =36 ft^2
i need help w this pls
Answers
Answer and Step-by-step explanation:
The answer is the second answer choice. y = 2x + 1
By looking at the graph, we see that there is a y-intercept at (0, 1), and it has a positive slope of 2.
#teamtrees #PAW (Plant and Water)
The shortest route from London to Edinburgh is 400 miles.
A lorry is expected to take 10 hours to travel this route.
The lorry actually travels by a different route which increases the distance by 15%, but it still arrives in 10 hours.
By how many more mph than the expected speed does the lorry travel?
Answers
Answer:
The lorry travels by 6 mph more than the expected speed.
Step-by-step explanation:
Velocity formula:
Velocity is distance divided by time, that is:
[tex]v = \frac{d}{t}[/tex]
Shortest route:
400 miles in 10 hours, which means that [tex]d = 400, v = 10[/tex]. So
[tex]v = \frac{d}{t} = \frac{400}{10} = 40[/tex]
In mph.
The lorry actually travels by a different route which increases the distance by 15%, but it still arrives in 10 hours.
Distance is multiplied by 100% + 15% = 115% = 1.15, so:
[tex]d = 1.15*400 = 460[/tex]
Then
[tex]v = \frac{d}{t} = \frac{460}{10} = 46[/tex]
46 mph
By how many more mph than the expected speed does the lorry travel?
46 - 40 = 6 mph
The lorry travels by 6 mph more than the expected speed.
which number line represents the solution set for the inequality ? HELP PLEASE
Answers
Step-by-step explanation:
if you need any explanation you can ask