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Elan Coil [88]
3 years ago
15

The congruent sides of an isosceles triangle are each 1 unit longer than the length of the shortest side of the

Mathematics
2 answers:
son4ous [18]3 years ago
4 0

Answer:

x = 10

Step-by-step explanation:

Call the shortest side = x

Therefore the perimeter is x + (x+1) + (x+ 1) = P

The perimeter of the square is 4*(x - 2)

So these two conditions are equal

x + (x+1) + (x + 1) = 4*(x - 2)                Remove the brackets on both sides.

x + x + 1 + x + 1 = 4x - 8                     Combine the terms on the left

3x + 2 = 4x - 8                                   Add 8 to both sides

3x + 2 + 8 = 4x - 8+ 8                        Combine

3x + 10 = 4x                                       Subtract 3x

3x-3x + 10 = 4x - 3x                           Combine

10 = x

MariettaO [177]3 years ago
3 0

Answer:

10 units

Step-by-step explanation:

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If you bought a tv for $350 and you bought it at a 10% discount off what was the original price
blagie [28]
(not sure if I'm right) Using this Formula Part/Whole = %/100

$350/Original Price = 10%/100
cross multiply 
10w = 35,000
divide by 10 on both sides 
W = $3,500 
(seems real high so I'm not sure)

6 0
3 years ago
Help me please hurry
tatuchka [14]

Answer:

61°

this triangle is split in half and forms 2 triangles. These triangles must be congruent since they are each excatly half of this rectangle

Therefore, <2 is going to be equal to the m< the corresponding angle in the other triangle. <2 = 61°

<2 is also equal to 61° by the interior angles theorem

Step-by-step explanation:

5 0
2 years ago
The square of a number is equal to two less than three times the number. What are two possible values of the number?
ycow [4]

Answer:

A, 1,2

Step-by-step explanation:

we translate it first into language of math

we use n for the number

n² = 3n - 2

then, do some algebra things

n² - 3n + 2 = 0

then factorize it

(n - 2)(n - 1) = 0

first n

n - 2 = 0

n = 2

2nd n

n - 1 = 0

n = 1

so n can be 1 or 2

4 0
3 years ago
A student is considering publishing a new magazine aimed directly at owners of Japanese automobiles. He wanted to estimate the f
JulsSmile [24]

Answer:

Check Explanation

Step-by-step explanation:

a) Confidence Interval for the population mean is basically an interval of range of values where the true population mean can be found with a certain level of confidence.

Mathematically,

Confidence Interval = (Sample mean) ± (Margin of error)

With p(japan) representing the true population proportion of US automobile that are made in Japan, the computer output 90% confidence

0.29938661 < p(japan) < 0.46984416

mean that p(japan); the true population proportion of US automobile that are made in Japan lies within the range of proportions (0.29938661, 0.46984416) with an assurance level of 90%.

b) 90% confidence mean that the true proportion may or may not be in the given range, but we are 90% certain that it does.

c) The confidence interval contradicts the politician's claim that "Half of all cars in the United States are made in Japan" because the proportion in the politician's claim, (0.50), does not lie within the range of values that our confidence interval says the true population proportion can take on; (0.29938661, 0.46984416).

0.50 lies outside of the confidence interval obtained for the true population proportion of US automobiles that are made in Japan, hence, the confidence interval contradicts the politician's claim.

Hope this Helps!!!

3 0
3 years ago
Un joven retira el 25% de sus ahorros y gasta el 33.3% en adornos para su
ki77a [65]

Answer:

$3003.2

Step-by-step explanation:

Step 1

Paso 1

Averiguamos cuánto era el 25% de sus ahorros.

Se nos dice en la pregunta que gastó el 33.3% en decoraciones para su nueva casa y si los adornos cuestan $ 250.00.

Esto significa

33.3 % × x = 250

33.3 x/ 100 = 250

Cruz multiplicar

33.3x = 250 × 100

x = 25.000 / 33.3

x = 750.75075075

Por lo tanto, la cantidad o el costo de los adornos = 33.3% del 25% de sus ahorros = $ 750.8

Paso 2

De la pregunta:

Un joven retira el 25% de sus ahorros y

Por lo tanto:

Sea y = monto total de sus ahorros

25/100 × y = $ 750.8

25y = 100 × 750.8.

y = 100 × 750.8 / 25

y = $ 3003.2

Por lo tanto, tenía $ 3003.2 en su cuenta.

6 0
3 years ago
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