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BabaBlast [244]
3 years ago
9

Triangle DEF is similar to triangle PQR. Side DE measures 3, side EF measures 7 and side FD measures 9. Side PQ measures 5x – 25

and side QR measures 6x + 4. Find the value of x
Mathematics
1 answer:
White raven [17]3 years ago
7 0
For this problem, we can set up a proportion using similarity ratios. We know that triangle DEF is similar to triangle PQR, so we know that DE/PQ = EF/QR = FD/RP:

DE/PQ = EF/QR

3/(5x - 25) = 7/(6x + 4)

Cross multiplying, we get:

7(5x - 25) = 3(6x + 4)

35x - 175 = 18x + 12

Now, we can solve for x:

35x - 18x = 12 + 175

17x = 187

x = 11

So, x is 11. 
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3 0
3 years ago
When measuring time, 8 concerts are approximately equal to 6 symphonies. How many symphonies are equal to 42 symphonies?
Vinil7 [7]
So normally it is
if 8x is to 6y, then how many x is to 42y?
it could be
if 8x:6y then how many x:42y or
if 8x:6y then how many y:42 x

I will solve for both

if it is
x:42y go to AAAAAAAA
if it is
y:42x then go to BBBBBBBBBB


AAAAAAAA
 how many concerts are equal to 42 symponies
arrange in concerts to symponies format

8:6=x:42
fractionify
8/6=x/42
multiply boht sides by 42
336/6=x
56=x
56 concerts equals 42 symponies



BBBBBBBBBB

 how many  symponies are equal to 42 concerts
areange in symponies:concerts
6:8=x/42
fractionify
6/8=x/42
multiply boht sides by 42
252/8=x
31.5=x
31.5 symponies to 42 concerts




so it could be


56 concerts to 42 symponies
or
31.5 symonies to 42 concerts
6 0
3 years ago
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