Given that the triangles are similar, find the value of x. Find the length of NR.
S
T
40
60
R
2x-2
8
N
M M
X
NR =
Answers
Given:
Figure of similar triangles.
To find:
The value of x and the measure of NR.
Solution:
In triangle RST and RMN,
[tex]\angle SRT\cong \angle MRN[/tex] (Vertically opposite angles)
[tex]\angle RST\cong \angle RMN[/tex] (Alternate interior angles)
[tex]\Delta RST\sim \Delta RMN[/tex] (By AA property of similarity)
We know that, corresponding sides of similar triangles are proportional.
[tex]\dfrac{RS}{RM}=\dfrac{RT}{RN}[/tex]
[tex]\dfrac{40}{8}=\dfrac{60}{2x-2}[/tex]
[tex]5=\dfrac{60}{2x-2}[/tex]
[tex]2x-2=\dfrac{60}{5}[/tex]
On further simplification, we get
[tex]2x=12+2[/tex]
[tex]x=\dfrac{14}{2}[/tex]
[tex]x=7[/tex]
The value of x is 7.
Now,
[tex]NR=2x-2[/tex]
[tex]NR=2(7)-2[/tex]
[tex]NR=14-2[/tex]
[tex]NR=12[/tex]
Therefore, the value of x is 7 and the measure of NR is 12 units.
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the nth term of a sequence is given by 3n-16 what is the value of the 9th term
Answers
Answer:
11
Step-by-step explanation:
9 times 3 minus 16 gives you 11
Answer:
өзің жаз түсіңдіңба өшір бренлиді ok
please help and please explain ill mark brainless, thank you:)
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Answer:
Its A...
Step-by-step explanation:
11/25 = 11 ÷ 25
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Michelle is planning an anniversary party at a restaurant . There is a fee to use the banquet room , plus the cost of dinner each The table below lists the total cost based on the number of guests ,
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Answers
Answer:c
Step-by-step explanation: The party will be grand
The fee to use the room is $25. And the cost of dinner is $16 per person. Then the correct options are B and D.
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Michelle is arranging a commemoration party at a café. There is an expense to utilize the meal room, in addition to the expense of supper each.
Let y be the total cost and x be the number of people.
From the table, the two points are (25, 425) and (30, 505). Then the equation is given as,
(y - 425) = [(505 - 425) / (30 - 25)](x - 25)
y - 425 = 16(x - 25)
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The fee to use the room is $25. And the cost of dinner is $16 per person. Then the correct options are B and D.
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Answer:
Attached below
Step-by-step explanation:
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15ml/5ml=3
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Answer:
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Step-by-step explanation:
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Answers
answer: B. 7/5
For what value of c is the relation a function? {(2.8). (12.3).(c.4), (-1.8). (0.3}}
A) -1
B) 1
C) 2
D) 12
Answers
Answer: B) 1
=======================================================
Explanation:
I'm assuming you were given the list of points to be
{(2,8). (12,3).(c,4), (-1,8). (0,3}}
the x coordinates of each point are: 2, 12, c, -1 and 0
If c is equal to any of the other x coordinates (2, 12, -1, or 0), then this will mean we have a repeated x coordinate. In turn, this leads to us not having a function.
---------
Consider the case that c = 2.
This means that (2,8) and (2,4) are two points in this relation. The input x = 2 leads to multiple outputs y = 8 and y = 4 at the same time. A function is not possible here. A function is only possible if we have any given input lead to exactly one output only. So this is why c = 2 is not possible if we want a function. The same goes for the other x coordinates mentioned.
All of this means we can rule out choices A, C, and D
Choice B means that c = 1 and this x coordinate hasn't been mentioned yet. So this could be a value of c that leads to a function. This is why choice B is the final answer.
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Answers
Answer:
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Step-by-step explanation:
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Answers
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Step-by-step explanation:
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Answers
The correct option regarding whether the opposite of a number is a negative number is given as follows:
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C) False; counterexample: -5.
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2 and 2/5 are to be written as 12/5. Then Helena is correct.
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Answers
Answer:
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Step-by-step explanation:
__________________________________________________________
FACTS TO KNOW BEFORE SOLVING :-
Lets say there's an expression [tex]x^{\frac{a}{b} }[/tex] .
It can be also written it as → [tex](\sqrt[b]{x} )^{a}[/tex] and vice-versa.
__________________________________________________________
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Step-by-step explanation:
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Step-by-step explanation:
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Answers
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Step-by-step explanation:
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(This part I have scribbled so I can answer )
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