Are the triangles similar? If so, state the similarity and the postulate or theorem that justifies your answer.
Answers
Answer: The triangles are not similar.
Step-by-step explanation:
Two figures are similar simply if they have the same shape, but not necessarily the same size. In a more mathematical sense, similar figures have the same angle measures and proportionate side lengths.
For reference, side lengths are proportionate when the ratios between corresponding/matching sides are the same.
Since we do not have any angles, we will try using the SSS Similarity Theorem, which states that if all three sides of both triangles are in proportion, then the triangles are similar. We will first list all the side lengths and match corresponding ones.
[tex]\triangle ABC \rightarrow 18,20,32\\ \triangle UVT \rightarrow 14,15,24[/tex]
Since we matched corresponding sides, we can now check whether they have the same ratio).
[tex]\frac{18}{14}=\frac{20}{15}=\frac{32}{24}[/tex]
[tex]\frac{9}{7}=\frac{4}{3}=\frac{4}{3}[/tex]
Not all of the side lengths have the same ratio, so these triangles aren't similar. you must multiply 14 by 9/7 to get to 18, but you need to multiply the other two sides by 4/3 to get to their
Related Questions
Cindy and Tim went to the state fair. They paid a $4.50 entry and $1.25 per ride ticket
Find the slope, y-intercept and write the equation for this Linear Relationship.
Answers
Step-by-step explanation:
Write more compactly about functional relationships such as, “If you sell x tickets, then your profit will be ... Jason goes to an amusement park where he pays $8 admission and $2 per ride.
how many centimeters are in 1 millimeter
Answers
Answer:
1 milli meter = 0.1 centi meter
What's the answer pleaseewwww
Answers
2 (12-y)= 23- (2y-1)
Answers
From his home Craig would have to walk due north to get to his friend Devon's house and due east to get to his friend Dereks house.it is 4 miles from Craigs house to derricks House and a straight line distance of 5 miles from devon house to derricks House how far is Craig's house from Devon's house
Answers
Answer:
3 miles
Step-by-step explanation:
This is because Derek would be your right angle of the corner of the right triangle. And since the distance is both of those houses from Derek’s house, you would have to use the Pythagorean Theorem to find the difference of the hypotenuse and the leg
5 out of 40 randomly selected students at Oxford Middle School stated that they would like to have a school uniform policy. Based on those results, about how many students out of the 992 enrolled would you expect to want a school uniform policy?
Answers
Answer:
124
Step-by-step explanation:
5 out of 40 = ⅛ of the students stated they would like to have a school uniform policy.
992 × ⅛ = 124
Write the ratio as a fraction in simplest form, with whole numbers in the numerator and denominator. 45 L to 56 L
Answers
Answer:
45/56
Step-by-step explanation:
We have,
Numerator = 45 L
Denominator = 56 L
We need to find the ratio as a fraction in simplest form. So,
[tex]\dfrac{N}{D}=\dfrac{45}{56}[/tex]
As there is no common factor between 45 and 56. It means the simplest fraction is 45/56.
The candy store is having a 30% off sale. Emma is going to buy $12.50 worth of candy. How much will she pay after the discount? Explain
Answers
Answer:
$16.25. You do 30% of $12.50 and then add it on that is pretty much it
Step-by-step explanation:
Diego has a maximum of $35 from his summer job earnings to buy shorts and socks for soccer. He needs 5 pairs of socks and a pair of shorts. Each pair of socks costs the same. The shorts he wants cost $19.95.
Write and solve an inequality to represent the amount of money Diego can spend on a single pair of socks. Let x represent the price of one pair of socks.
Answers
Answer:
The inequality to represent the amount of money Diego can spend on a single pair of socks, 'Y', is;
Y ≤ $3.07
Step-by-step explanation:
The parameters for the maximum earnings and the number a=of socks for soccer Diego can buy are;
The maximum amount Diego has, A = $35
The cost of the shorts Diego wants, S = $19.95
The number of pairs of socks Diego needs, n = 5 pairs
Let the
Given that, 'x', represents the price of a pair of socks, we have, the inequality to represent the amount of money Diego can spend on a single pair of socks, 'Y', is given as follows;
Y ≤ (A - S)/n
Plugging in the known values of 'A', 'S', and 'n', we have;
Y ≤ (35 - 19.65)/5 = 3.07
∴ Y ≤ $3.07
Rachel found 2 quarts on the floor.what decimal represents the 2 quarters
Answers
The side length of a triangle are 6,8 and 12 are these sides of a right triangle
Answers
Answer:
Yes it a right triangle!!
Hope it helps you!!
Answer:
No
Step-by-step explanation:
6^2 + 8^2 doesn't equal 12^2
please help meee its due soon hurry please !!
Answers
How many constants are in the following expression?
7x + 4y - 5 + 4x Help
Answers
Answer:
1
Step-by-step explanation:
-5 is a constant because its a number on its own without a variable
Answer:
There is only 1 constant
Step-by-step explanation:
the constant is -5 because it's alone without any variables
Find -2(3 - 8) + 3 (12 - 8)
What is the answer to this question?
Answers
Answer:
22
Step-by-step explanation:
Please answer this I will mark you Brainly if you answer this right
Answers
Answer:
150 This is right 4sure i did this test to.
Step-by-step explanation:
Explain
fifty-six thousands as decimal form
Answers
Answer:
0.056
Step by step explanation:
make the most childish answer possible and ill give you brainliest
Answers
Answer:
yo mama
Step-by-step explanation:
Answer and Step-by-step explanation:
Find [x]: <--------------- (Childish Answer)
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4 + y = 3x - 5 |
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^---------------
I found x!! ^
#teamtrees #WAP (Water And Plant)
Find the equation of direct variation,
given that y varies directly with x,
and x is 36 when y is 99.
Answers
Triangles ABC and DFG are similar.
Which proportion can be used to find the value of DG¯¯¯¯¯¯?
a 15/7=5/DG
b DG/15=5/7
c 5/7=15/DG
d 5/DG=15/6
Two triangles A B C and D F G. A B is 5 inches. B C is 6 inches. A C is 7 inches. D F is 15 inches. F G is 18 inches. Angle B is congruent to angle F.
Answers
Answer:
C
Step-by-step explanation:
Since every side of ΔABC is dilated by 3, or triple the size
We multiply every length of ΔABC by 3
But the length of DF and FG are already done for us but DG is not, which is essential to finding the answer
7 x 3 = 21
DG = 21
5/7 = 15/21
5 ÷ 7 = 0.71
15/21 = 0.71
5/7 = 15/21
Value of [tex]\boldsymbol{DG}[/tex] in a triangle [tex]DFG[/tex] is equal to [tex]\boldsymbol{21}[/tex] inches. To understand the calculations, check below.
Define similar triangles.Two triangles are said to be similar if their sides are proportional and their angles are equal.
Triangles [tex]ABC,DFG[/tex] are similar
[tex]\frac{AB}{DF}=\frac{BC}{FG}=\frac{AC}{DG}[/tex]
[tex]\frac{5}{15}=\frac{7}{DG}[/tex]
[tex]DG=21[/tex] inches
So, value of [tex]DG[/tex] is equal to [tex]\boldsymbol{21}[/tex] inches
Find out more information about triangle here:
https://brainly.com/question/2773823?referrer=searchResults
In a circle, an angle measuring pie over 2 radians intercepts an arc of length 1 pie. Find the
radius of the circle in simplest form.
Answers
Answer:
2 units
Step-by-step explanation:
We are given that
Angle ,[tex]\theta=\frac{\pi}{2}[/tex]radian
Length of an arc=[tex]\pi[/tex]
We have to find the radius of circle in simples form.
We know that
[tex]\theta=\frac{l}{r}[/tex]
Where l=Length of arc
r=Radius of circle
Using the formula
[tex]\frac{\pi}{2}=\frac{\pi}{r}[/tex]
[tex]r=\frac{2\times \pi}{\pi}[/tex]
[tex]r=2[/tex]units
Hence, the radius of the circle=2 units
The temperatures of two cities were measured at the same time. The
temperature in city A was 60 degrees and rose at a constant rate of 2
degrees per hour.
The temperature in city B was 40 degrees and rose at a constant rate
of 10 degrees per hour.
Enter the number of hours it took for the temperature to be the same in
both cities.
Answers
Answer:
2.5 hours
Step-by-step explanation:
60+2t=40+10t
hope this helps, have a great day :)
pleaseeeee help me asap
Answers
Answer:
S1 = 294 square mm
Step-by-step explanation:
7 * 7 = 49
49 mm per side on the large cube
a cube has 6 faces, or sides
so
49 * 6 = 294 mm
please i need this, i've been crying bout it, What is an equation of the line that passes through the point (4,2) and is perpendicular to the line 4x+3y=21?
Answers
Answer:
y= 3x/4 − 1
Step-by-step explanation:
The instructions are on the picture whoever answers this question will be the brainliest!!
Answers
Answer:
-3
3/2
Step-by-step explanation:
Y intercep is the point where the line intercepts the y axis. That is 3 in this graph.
slope. Choose two points. For the sake of explainin, I am choosing
(-3,1)
and (0,3). That’s the y intercept!!
The slope is the rate of increase. We have to measure it like we do with stairs. The rise divided by the run
the rise is 2. See the picture. The run is 3(change in x) the x increases by 3 between 2 integer points while the y changes by 3(change in y —>3 minus 1)
Rise= 3
run =2
Slope=rise/run=3/2
A TRIANGLE has a base of 20 inches and height of 9 inches. What is its area? (a = 1/2bh)
Answers
Answer:
90
Step-by-step explanation:
1/2x20x9=90
An Item is priced at $14.91. If the sales tax is 4%, what does the item cost including the tax? A. 30.42 B. $0.60 C.$15.51 D. $20.87
Answers
Answer:
15.51
Step-by-step explanation:
14.91x4%=.60
14.91+.60=15.51
A line that intersects a circle in exactly one point.
a. secant
b. tangent
c. segment of a circle
d. sector of a circle
Answers
Would be yo ur answer
I can't figure it out.
2x+2y=2
-4x+4y=12
Answers
Answer:
how to solve 2x+2y=2 , -4x+4y=12
this is solving equations using substitution .... i have ALOT more but i juss dnt get this stuff
2x + 2y = 2 -4x + 4y = 12
x + y = 1
x = 1 - y
-4x + 4y = 12
-4(1 - y) + 4y = 12
(-4 + 4y) + 4y = 12
-4 + 8y = 12
8y = 16
y = 2
2x + 2y = 2
2x + 2(2) = 2
2x + 4 = 2
2x = -2
x = -1
Check.
-4x + 4y = 12
-4(-1) + 4(2) = 12
4 + 8 = 12
Answer: x = -1 and y = 2
Step-by-step explanation:
Given the sides of the four triangles below, which is NOT a scalene triangle?
Answers
Answer:
under the circustances of this trajectory the triangular polverinization oxiding cells are answer choice A thus that answer is not a scalene triangle
Step-by-step explanation:
A line passes through the point (-2,9) and (0,-3)
Answers
Answer:
Step-by-step explanation:
Answer:
y = - 6x - 3
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 2, 9) and (x₂, y₂ ) = (0, - 3)
m = [tex]\frac{-3-9}{0+2}[/tex] = [tex]\frac{-12}{2}[/tex] = - 6
The line crosses the y- axis at (0, - 3 ) ⇒ c = - 3
y = - 6x - 3 ← equation of line