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3 years ago

What other information do you need to prove that two triangles are congruent by SAS?

Mathematics

1 answer:

Kisachek [45]3 years ago

5 0

To prove that a triangle is congruent by sas is 2 sides that are congruent with an angle in between them

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The 888 mile trip to the ranch took three times as long as the 280 mile trip to the ocean because the speed was 4 mph less than

ziro4ka [17]

Alright, lets get started.

Suppose the speed to the ranch = x mph

So, speed to the ocean will be = (x-4) mph (because the speed was 4 mph less than the speed to the ranch)

Distance to the ranch = 888 miles

time moving to the ranch $= \frac{distance}{speed}$

time moving to the ranch $= \frac{888}{x}$

time moving to the ocean $= \frac{280}{x-4}$

As per given in question, the 888 mile trip to the ranch took three times as long as the 280 mile trip to the ocean , means

$\frac{888}{x} = 3 * \frac{280}{x-4}$

$\frac{888}{x}= \frac{840}{x-4}$

Corss multiplying

$888 (x-4) = 840 x$

$888 x - 3552 = 840 x$

$48 x = 3552$

$x=74$

Hence speed to ranch = 74 mph

Hence speed to ocean = $74 - 4 = 70$ mph

time for trip to ranch = $\frac{888}{74} = 12$ hrs

time for trip to ocean = $\frac{280}{70} = 4$ hrs

So, speed to ranch is 74 mph and trip time is 12 hrs and speed to ocean is 70mph and time is 4 hrs.

Hope it will help :)

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3 years ago

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Multiply the polynomials. (2x^2 + 6x + 6)(3x – 2)

DaniilM [7]

Hey there! :)

Answer:

6x³ + 14x² + 6x - 12.

Step-by-step explanation:

Given:

(2x² + 6x + 6)(3x - 2)

Multiply each term in the first polynomial by both terms in the second:

3x( 2x² + 6x + 6) - 2(2x² + 6x + 6) =

6x³ + 18x² + 18x - 4x² - 12x -12 =

Combine like-terms:

6x³ + 14x² + 6x - 12.

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4 years ago

Write 4/33 as a decimal step by step please

Licemer1 [7]

Answer:

0.12121212121212

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3 years ago

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For an investment of $26,245, a quarterly statement reports that the account balance is $26,292. The statement also reports that

olya-2409 [2.1K]

52,537.02 is your answer i hope i helped

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3 years ago

Which of the following is the correct SI unit to use in measuring amount of material contained in a solid sphere?

Lera25 [3.4K]

Kilogram, Mole, Candela, Ampere, Meter, Second and Kelvin are the 6 basic measures, so I guess Kilogram

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3 years ago

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