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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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If the price of tickets increased by 2/5 during the World Series, then during the World Series a ticket would've cost $60+$24=$84.
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Express the following in scientific notation:<br> 10,030,400,000
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Answer:

1.00304 * 10^10

Step-by-step explanation:

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3 years ago
Please help me urgently! 50 points giving brainliest.
Alisiya [41]

The number of significant figures in the numbers are

  • 100 cm = 1 significant digit
  • 0.006700 cm = 2 significant digits
  • 450. cm = 3 significant digits

<h3>How to determine the number of significant figures in the following numbers?</h3>

As a general rule, the zeros before and after the non-zero figures are not significant.

Using the above rule, we have:

  • 100 cm = 1 significant digit
  • 0.006700 cm = 2 significant digits
  • 450. cm = 3 significant digits

<h3>How to round the following numbers to the correct number of significant figures</h3>

Using the above rule in (a), we have:

  • 123g to show 1 sig fig = 100 g
  • 0.19851m to show 2 sig figs = 0.2 m
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<h3>How to report the following answers with correct significant figures</h3>

We have:

(12.93cm) x (2.34cm) x (8cm) = 242.05 cm^3 because 12.93 has 4 significant figures

67.0m / 2.18s = 30.7 m/s because 2.18 has 3 significant figures

<h3>How to convert the following metric to metric</h3>

450mL = 0.45 L

because 1 mL = 0.001 L

2.3 dm = 0.00023 km

because 1 dm = 0.0001 km

0.120cg = 1.2 mg

because 1 cg = 10 mg

6700L = 670000 cL

because 1 L = 100 cL

<h3>How to convert the following metric</h3>

a. 2.34miles = 3.76 km (1mile = 1.61km) -- given

b. 5.3ft = 161.544 cm(2.54cm = 1 in)

Because 1 ft = 30.48 cm

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3 0
1 year ago
= 1/2 (u+v)t
RoseWind [281]

The distance travelled by an object is 50 m.

<h3>What is Distance?</h3>

The distance between two points is the length of the path connecting them.

Here, given equation of distance

         S = 1/2 (u + v)t

Where s is the distance traveled by an object (in meters)

initial velocity u (in m/s)

final velocity v (in m/s).

t in seconds.

Now, given values are;

u = 8 m/s ;  v = 12 m/s ;   t = 5 sec.

    S = 1/2 (8 + 12)5

    S = 1/2 (20)5

    S = 100/2

    S = 50 m.

Thus, the distance travelled by an object is 50 m.

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5 0
2 years ago
2. JENNIFER IS TRYING TO SAVE MONEY. SHE WILL TAKE $150.00 TO
lisov135 [29]

Hope this helps.

If not, go to: https://www.mathportal.org/calculators/financial-calculators/simple-interest-calculator.php

6 0
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