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PLEASE HELP! due tmr! 24 26 55 99

SVETLANKA909090 [29]

Answer:

99°

Step-by-step explanation:

Internal Angles of triangles ALWAYS add up to 180°

So, 180° is our total.

We can form an equation. x° + 55° + (4x - 5)° = 180°

We can remove the brackets to form; x° + 55° + 4x° - 5° = 180°

We can get rid of the like terms by either adding or subtracting them.

x° + 4x° + 55° - 5° = 180°

5x° + 50° = 180°

We can then subtract 50° from both sides.

5x° = 180° - 50°

5x° = 130°

We then make x the subject and divide both sides by 5°

x = 26

x was our unknown so where there is x we put 26

The angle on the far left is simply 26°

The other angle, (4x-5)° becomes (4(26) - 5)°

If you simplify that, you get (104-5)°

Hence the last angle was 99°

If you want to ensure that your answer is correct, simply add the angles. They should always add up to 180° if you're working with a triangle

55° + 26° + 99° = 180°

7 0

3 years ago

Read 2 more answers

Find the values of x and y

zhuklara [117]

You can use a tangent:

$tangent=\dfrac{opposite}{adjacent}$

We have opposite = 17 and adjacent = x.

$\tan30^o=\dfrac{\sqrt3}{3}$

substitute:

$\dfrac{17}{x}=\dfrac{\sqrt3}{3}$ cross multiply

$x\sqrt3=(3)(17)$ multiply both sides by √3

$x(\sqrt3)(\sqrt3)=51\sqrt3$

$3x=51\sqrt3$ divide both sides by 3

$x=17\sqrt3$

Use the Pythagorean theorem:

$y^2=(17\sqrt3)^2+17^2\\\\y^2=289(\sqrt3)^2+289\\\\y^2=289\cdot3+289\\\\y^2=867+289\\\\y^2=1156\to y=\sqrt{1156}\\\\y=34$

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Other method.

$30^o-60^o-90^o$ triangle.

The sides are in the ratio $1:2:\sqrt3\to17:y:x$

Therefore

$17:(2\cdot17):(17\sqrt3)\to17:34:17\sqrt3\to x=34,\ y=17\sqrt3$

4 0

4 years ago

I need help with this problem bk I’m so konfused by it

soldi70 [24.7K]

Do you want 5 and 6 or just 5? 5 is kind of neat.

44.5% = 0.445

4/9 = 0.4444444

You have enough information to put the numbers in order.

0.44 is the smallest number.

0.44444444.... is the next smallest number

0.4445 is bigger than the number above. 5 is in the ten thousandths place. that is bigger than 4 in the thousands place of 4/9

Finally the largest number of all is 0.445 for the same reason given above.

Six

5/12 = 0.416666

0.4

42% = 42/100 = 0.42

0.416

0.4 is the smallest number

0.416 is the next smallest number

0.41666666 is bigger than 0.416 because you are adding a bunch of 6s onto the decimal place.

The largest one is 0.42. You can put these into your calculator to verify the results. For example, 0.42 - 0.4166666 = 0.003344. Any result more than 0 will show that the first number is bigger than the second.

5 0

3 years ago

According to the graph, how far did the object move between the second and third seconds?

Setler79 [48]

Answer:

Your answer would be B

Step-by-step explanation:

This is because in between the 2nd and 3rd seconds, there is a 2 unit space so that is how far the object moved in between these seconds,

Hope this helps you out!! Have a good day:))

7 0

3 years ago

A holding tank containing 3000 gallons of oil is been at the rate of 130 gallon per hour of six hours and then filled at the rat

serious [3.7K]

Answer:

2520 gallons

Step-by-step explanation:

3000 gallons -780 gallons drained over 6 hours then add 300 gallons over three hours = 2520 gallons

8 0

4 years ago