<u>Solution-</u>
Given that,
In the parallelogram PQRS has PQ=RS=8 cm and diagonal QS= 10 cm.
Then considering ΔPQT and ΔSTF,
1- ∠FTS ≅ ∠PTQ ( ∵ These two are vertical angles)
2- ∠TFS ≅ ∠TPQ ( ∵ These two are alternate interior angles)
3- ∠TSF ≅ ∠TQP ( ∵ These two are also alternate interior angles)
<em>If the corresponding angles of two triangles are congruent, then they are said to be similar and the corresponding sides are in proportion.</em>
∴ ΔFTS ∼ ΔPTQ, so corresponding side lengths are in proportion.
As QS = TQ + TS = 10 (given)
If TS is x, then TQ will be 10-x. Then putting these values in the equation
∴ So TS = 3.85 cm and TQ is 10-3.85 = 6.15 cm
Answer:
DC = 21 ; BC = 26
Step-by-step explanation:
The perimeter of a rectangle is given by :
P = 2(length + width)
2x + 3
3x - 1
Perimeter, P = 94
Hence,
94 = 2(2x +3 + (3x - 1))
94 = 2(2x + 3 + 3x - 1)
94 = 2(5x + 2)
94 = 10x + 4
94 - 4 = 10x
90 = 10x
x = 90 /10
x = 9
DC = 2x + 3 = 2(9) + 3 = 18 + 3 = 21
BC = 3x - 1 = 3(9) - 1 = 27 - 1 = 26
Answer:
Multiply both sides by 11 to isolate the variable.
Step-by-step explanation:
a = 55
9514 1404 393
Answer:
x = -9
Step-by-step explanation:
Segment NL is twice the length of midsegment WV.
2WV = NL
2(x+15) = x+21
2x +30 = x +21 . . . . simplify
x = -9 . . . . . . . . . . . . add -30-x
_____
<em>Additional comment</em>
This value of x means the other segments are ...
MN = 12
WV = 6
NL = 12
The answer is 7.5.
7 4/8 is also 7.5
