9514 1404 393
Answer:
11 73/78 ≈ 11.9359 (not 14)
Step-by-step explanation:
The similarity statement tells us ...
QS/QR = FG/FH
QS = QR·FG/FH
13x -14 = 154(55/60) = 847/6
Adding 14 = 84/6, we have ...
13x = 931/6
x = 931/78 = 11 73/78 . . . . . . . divide by 13
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<em>Comment on the question</em>
You get a nice integer answer for x if the similarity statement is written ...
∆FGH ~ ∆QRS . . . . . . . note the letters are in alphabetical order
Then you have ...
QS/QR = FH/FG
13x -14 = 154(60/55) = 168
13x = 182
x = 14
This nice answer to a nice similarity statement leads us to believe the question has an error in it.
We suspect you are expected to provide x=14 as the answer, even though that is NOT the answer to the question <em>as written</em>. You may want to discuss this with your teacher.
Answer:
∠2 ≅ ∠B
Step-by-step explanation:
Let the triangle be ABC,
Given that,
∠A = 50°
∠C = 65°
Using angle-sum property of the triangle,
∠A + ∠B + ∠C = 180°
50° + ∠B + 65° = 180°
∵ ∠B = 65° ...(i)
A.T.Q.
Two horizontal lines are extended making 3 angles. Two angles out of them are 50° and 65°.
Since the adjacent angles comprising a straight line is equals to 180°.
so,
∠2 + 50° + 65° = 180°
∠2 + 115° = 180°
∠2 = 180° - 115°
∵ ∠2 = 65° ...(ii)
Using (i) and (ii),
∠2 ≅ ∠B
Therefore, ∠2 and ∠B are congruent to one another.
Answer:
6 + 3y
Step-by-step explanation:
a + b = b + a
Numbers can be added in any order, and you still get the same answer
3 times 4 =12 8 times 4=32
So 12:32 is the same as 3:8
Answer: B. One solution
Step-by-step explanation: As you see, both of these lines intersect on the point (0, 3). The point where the lines intersect is the solution. Since these lines are perpendicular, they will only intersect one time. Therefore, there is only one solution, that being (0, 3).
I hope this helps!! Pls mark brainliest :)