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3 years ago

In the diagram below of parallelogram STUV, SV = x + 3,

Mathematics

1 answer:

Pachacha [2.7K]3 years ago

5 0

Answer:

The value of VU = 3

Step-by-step explanation:

Given

SV = x + 3

VU = 2x − 1

TU = 4x − 3

VU = ?

We know that in a parallelogram, opposite sides are congruent.

SV ≅ TU and VU ≅ ST

Thus,

SV ≅ TU

x+3 = 4x-3

4x-x = 3+3

3x = 6

Divide both sides by 3

x = 2

So,

VU = 2x − 1

= 2(2)-`1

= 4-1

= 3

Thus, the value of VU = 3

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A baker buys 10 pounds of peaches. She buys a total of 25 peaches. Given that 1 lb = 16 oz, what is the average weight, in ounce

creativ13 [48]

Answer:

the average weight of one peach is 6.4 ounces

Step-by-step explanation:

10lb of peaches

16 ounces in a pound

10 x 16 = 160 ounces

divide 160 (ounces) by 25 (Peaches)

= 6.4 ounces per peach

8 0

3 years ago

Solve1 over 25 = 5^x ^+ 4. <br> x = -7/2<br> x = −6 <br> x = 9/2 <br> x = 2

Basile [38]

The equation seems to be

   1
-------- = 5 ^ (x + 4)
25

In that case, this is the solution, stept by step:

1) factor 25: 25 = 5^2

      1
=> ----------- = 5^(x + 4)
       5^2

2) invert 5^2

=> 5^(-2) = 5^(x+4)

3) Given that the bases are equal, the exponents also have to be equal:

=> - 2 = x + 4

3) transpose +4:

=> - 2 - 4 = x

=> x = - 6

Answer: - 6

6 0

3 years ago

1) 130 words in 5 mins. How many words in an hour?

FinnZ [79.3K]

Answer:

Part 1) 1,560 words

Part 2) 161 miles

Step-by-step explanation:

Part 1) 130 words in 5 mins. How many words in an hour?

Remember that

$1\ hour=60\ min$