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2 years ago

STVU is an isosceles trapezoid. If SV = 3x + 1 and TU = x + 21, find the value of x.

2 answers:

7 0

Definition of isos trapezoid=> A trapezoid with congruent legs.
Theorem=> Diagonals in a isosceles triangle are congreunt.
Answer=> SV is a diagonal and so is TU therefore they are equal.
Set aside=> 3x+1=x+21
Solve=> 2x=20
x=10<span />

nalin [4]2 years ago

5 0

Answer:

The value of x is 10.

Step-by-step explanation:

Given information: STVU is an isosceles trapezoid, SV = 3x + 1 and TU = x + 21.

According to the properties of isosceles trapezoid, then diagonals of an isosceles trapezoid are equal.

SV and TU are diagonals of the isosceles trapezoid, so

$SV=TU$

$3x+1=x+21$

Separate like terms.

$3x-x=21-1$

$2x=20$

Divide both sides by 2.

$x=10$

Therefore the value of x is 10.

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2 years ago

Zenaida is shopping and wants to purchase a $320 stereo system. The store is offering an incentive of 10 to 30 percent off when

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The stereo system costs $256.

Step-by-step explanation:

Given:

Cost of the stereo system = $320.

The discount Zenaida received = 20%.

To Find:

Cost of the stereo system after the discount=?

Solution:

Step1: Finding the discount amount:

Discount percentage =20

Discount amount = original cost × discount percent

Substituting the values,

$\text { Discount amount }=320 \times 20 \%$

$\text { Discount amount }=320 \times \frac{20}{100}$

$\text { Discount amount }=320 \times \frac{1}{5}$

$\text { Discount amount }=320 \times 0.2$

$\text { Discount amount }=64$

Step 2: Removing the discounted amount from the original price

Final cost of the stereo system =original cost of the stereo system –discount amount

Substituting the values we get,

Final cost=320-64

Final cost=256

Result:

Thus the cost of the stereo system after discount is $256

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2 years ago

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11. In a certain town the ratio of the number of cars to that of taxis is 15:4. If

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2 years ago

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Russell has a collection of 1,200 pennies. Of these pennies, 25% are dated before 1980, 35% are dated from 1980 to 2000, and the

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480 pennies.

25% are dated before 1980, therefore:
1200(total):100 = 12 (1%)
12(1%)x25 = 300 (25%)

35% are dated from 1980 to 2000, therefore:
12(1%)x35 = 420 (35%)

25% are dated before 1980, 35% are dated from 1980 to 2000 and the rest are dated after 2000.
25% + 35% = 60%.
300(25%) + 420(35%) = 720.
60% = 720.
100%-60% = 40%.
40% is the amount of pennies that are dated after 2000.

The total (100%) of the pennies is 1200.
We also know that 60% of the total (1200) is 720.

1200(100%) - 720(60%) = 480(40%).

Therefore, the amount of pennies dated after 2000 in Russell’s Collection is 480.

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2 years ago

Margie is packing 108 small boxes into a large carton. the small boxes will fill all of the space inside the large carton. Each

just olya [345]

2 inches wide
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V=108 times 1 times 2 time s3
V=648 in^2

height is 2
V=LWH
648=LW2 (note, this is not LW^2 but 2 times LW)
divie both sides by 2
324=LW
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we just need to find the values of legnth and width such that LW=324 and L<36 and that L or W is divisible by 3 (since each box is 3 inches long)

so lets factor 324
324=2*2*3*3*3*3
group them and find possible values for legnth and width less than 36 and divsible by 3
possible values

(L,W,H) possible values are
(27,12,2)
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the possible dimentions are
27 by 12 by 2 or
18 by 18 by 2

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2 years ago