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2 years ago

Find the degree measure of each angle in the triangle. Giving brainly

Mathematics

1 answer:

Lena [83]2 years ago

5 0

Answer:

∠ I = 39°, ∠ J = 51°, ∠ K = 90°

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Sum the3 angles and equate to 180

3x + 21 + 5x + 21 + 90 = 180, that is

8x + 132 = 180 ( subtract 132 from both sides )

8x = 48 ( divide both sides by 8 )

x = 6

Then

∠ I = 3x + 21 = 3(6) + 21 = 18 + 21 = 39°

∠ J = 5x + 21 = 5(6) + 21 = 30 + 21 = 51°

∠ K = 90°

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Simplify the following expression:

Salsk061 [2.6K]

Simplification form of the provided expression is -x⁴-2x³+2x+5 option (B) is correct.

<h3>What is an expression?</h3>

It is defined as the combination of constants and variables with mathematical operators.

The options are:

A) -x⁴ - 2x - x + 2

B) -x⁴ - 2x³ + 2x + 5

C) -2x³ + 1

D) -x - 2x² + 2x + 5

We have an expression:

= (x + 3) - [(x + 2)(x³ - 1)]

$\rm =x+3-\left(x+2\right)\left(x^3-1\right)$

$\rm =x+3-x^4+x-2x^3+2$

$\rm =-x^4-2x^3+2x+3+2$

$\rm =-x^4-2x^3+2x+5$

Thus, simplification form of the provided expression is -x⁴-2x³+2x+5 option (B) is correct.

Learn more about the expression here:

brainly.com/question/14083225

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2 years ago

Yuto and Lian are at train stations 1,880 kilometers apart. Yuto boards a train heading east at an average speed of 220

Doss [256]

Answer:

1,000 km

Step-by-step explanation:

Assume that when two train pass each other, Lian has traveled x (km)

=> The time Lian has traveled when two trains pass each other is:

Time = Distance/ Rate = x/ 250 (hour)

As Lian and Yuto travelled from the two opposite train stations and the train stations are 1,880 km apart

=> When two train pass each other, Yuto has traveled 1,880 - x (km)

=> The time Yuto has traveled when two trains pass each other is:

Time = Distance/ Rate = (1,880 - x)/220 (hour)

As Lian and Yuto board at the same time, so that when two trains pass each other, the time both of them have traveled is equal

=> x/ 250 = (1,880 - x)/220

=> 220x = 250 x (1,880 -x)

=> 220x = 470,000 - 250x

=> 470x = 470,000

=> x = 1,000

So that, when two train pass each other, Lian has traveled x = 1,000 km

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3 years ago

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professor190 [17]

0.52 because 52/100 is better than 52/1000 and 52/10000

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3 years ago

Can someone take 3 min for there time and help me with this please??

seropon [69]

Since the left side of the equation says f(5), then plug in 5 for x.

So, it is:

-4|5| + 3
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3 years ago

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ss7ja [257]

Answer:

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Step-by-step explanation: Hope it helps :D

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3 years ago

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