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kolbaska11 [484]
3 years ago
9

The measure of the smallest angle of a triangle is ​one-fifthfifth the measure of the largest angle. The measure of the second a

ngle is 51 degrees° less than the measure of the largest angle. Find the measure of the angles of the triangle
Mathematics
1 answer:
Shtirlitz [24]3 years ago
7 0

Answer:

Largest angle is 105°

Smallest angle is 21°

The second angle is 54°

Step-by-step explanation:

Let the largest angle be x°

The smallest angle will be 1/5x°

The second angle will be x° - 51°

Angles in a triangle add up to 180° so;

x + x - 51 + 1/5x = 180

11/5x = 180 + 51 , 11/5x = 231 , x = 105°

Smallest angle is 1/5 × 105 = 21°

The second angle is 105 - 51 = 54°

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Find the missing side for each triangle below
xxTIMURxx [149]

Applying the Trigonometry ratio, CAH, the missing side is, x = 1.9.

<h3>How to Solve a Right Triangle Using Trigonometry Ratio</h3>

The Trigonometry Ratios are:

  • SOH - sin∅ = opp/hyp.
  • CAH - cos∅ = adj/hyp.
  • TOA - tan∅ = opp/adj.

Thus, given:

∅ = 51°

hyp = 3

adj = x

  • Apply, CAH:

cos 51 = x/3

x = (cos 51)(3)

x = 1.9

Thus, applying the Trigonometry ratio, CAH, the missing side is, x = 1.9.

Learn more about Trigonometry Ratio on:

brainly.com/question/4326804

4 0
3 years ago
Find the area of a triangle with a base of 9 feet and hypotenuse length of 13 feet​
iris [78.8K]

Answer:

42.21 ft^2

Step-by-step explanation:

The formula: A=1 /2b √ c2﹣b2

c=hypotenuse

b=base

8 0
3 years ago
Use the discriminant to determine the number and type of solutions the equation has.
lidiya [134]
Discriminant = square root (b^2 -4*a*c)
square root (64 -4*1*12) =
square root (16) =
4
Therefore it has 2 rational soltions


4 0
3 years ago
Is the expression x3•x3•x3 equivalent to x3•3•3
avanturin [10]

Answer:

Yes

Step-by-step explanation:

So I'll assume that x3 is 3x -->

so 3x • 3x • 3x =? to 3x • 3 • 3?

You can first simplify this to 3^3x =? to 3x • 9 -->

27x =? to 3x • 9 => so there are many solutions but if per say x = 5 then yes it would be equal.

Check with another number per instance 8

27(8) = 216 => 24(9) = 126

Yes they are equal

Hope this helps!

3 0
3 years ago
Solve the system using elimination.<br> 2x + 18y = -9<br> 4x + 18y = -27
Elan Coil [88]

First, let's cancel out the x by multiplying 2x + 18y = -9 by -2.

-2 ( 2x + 18y = -9) = -4x -36y = 18

Then, we combine the two equations.

-4x + 4x = 0

18y - 36y = -18y

-27 + 18 = -9

Our new equation is -18y = -9.

Now, divide both sides by -18.

-18y / -18 = y

-9/ -18 = 1/2

y = 1/2

We can plug in a value for y since y = 1/2 now.

Let's use 2x + 18y = -9

Plug in y.

2x + 18(1/2) = -9

2x + 9 = -9

Then, subtract 9 from both sides.

2x = -18

Divide by 2.

2x/2 = x

-18/2 = -9

x = -9

Lastly, we can plug in both x and y values to see it works.

2(-9) + 18(1/2) = -9

-18 + 9 = -9

Therefore, the values of x and y does work.

x = -9

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4 0
3 years ago
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