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ddd [48]
2 years ago
5

Solve for x, and angle c

Mathematics
1 answer:
patriot [66]2 years ago
5 0

9514 1404 393

Answer:

  x = 12.75

  ∠C = 51.75°

Step-by-step explanation:

The two marked angles are complementary, so ...

  (5x -12) +(3x) = 90

  8x = 102

  x = 102/8

  x = 12.75

__

C = (5x -12)° = (5(12.75) -12)°

  ∠C = 51.75°

__

<em>Check</em>

E = 3x = 38.25, then C+E = 51.75 +38.25 = 90 . . . . as it should

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A triangle is shown with its exterior angles. The interior angles of the triangle are angles 2, 3, 5. The exterior angle at angl
Alenkinab [10]

The sum of the angle 5 and angle 6 is 180 degrees. Then the correct option is C.

<h3>What is Supplementary angle?</h3>

When two angles are said to be supplementary angles if their sum is 180 degrees.

A triangle is shown with its exterior angles.

The interior angles of the triangle are angles 2, 3, 5.

The exterior angle at angle 2 is angle 1.

The exterior angle at angle 3 is angle 4.

The exterior angle at angle 5 is angle 6.

We know that the sum of interior and exterior angle of the triangle is 180 degrees.

∠1 + ∠2 = 180°

∠3 + ∠4 = 180°

∠5 + ∠6 = 180°

Then the correct option is C.

More about the Supplementary angle link is given below.

brainly.com/question/15767203

#SPJ1

3 0
2 years ago
Suppose that x is the probability that a randomly selected person is left handed. The value (1-x) is the probability that the pe
harina [27]

Answer:

The maximum variance is 250.

Step-by-step explanation:

Consider the provided function.

V(x)=1000x(1-x)

V(x)=1000x-1000x^2

Differentiate the above function as shown:

V'(x)=1000-2000x

The double derivative of the provided function is:

V''(x)=-2000

To find maximum variance set first derivative equal to 0.

1000-2000x=0

x=\frac{1}{2}

The double derivative of the function at x=\frac{1}{2} is less than 0.

Therefore, x=\frac{1}{2} is a point of maximum.

Thus the maximum variance is:

V(x)=1000(\frac{1}{2})-1000{\frac{1}{2}}^2

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Hence, the maximum variance is 250.

4 0
3 years ago
The roof of the Terminal Tower is 709 feet above ground. A window washer dropped a bucket from the edge of the roof. How many se
Masja [62]

Answer:

6.64 seconds

Step-by-step explanation:

Given that:

Distance between roof of the terminal and ground = 709 feet

A bucket was dropped from the roof.

To find:

The time taken by the bucket to hit the ground?

Solution:

Distance traveled, s = 709 feet

Initial velocity of the bucket, u = 0 feet/sec (because initially it was at rest)

Acceleration of the bucket will be equal to acceleration due to gravity i.e.

g or 32.1741 ft/sec^{2}

Let the time taken is t seconds.

Formula for distance is given as:

s = ut+\dfrac{1}{2}at^2

Putting all the values:

709 = 0 (t) + \dfrac{1}{2}(32.1741) t^2\\\Rightarrow 1418 = 32.1741 t^2\\\Rightarrow t^2 = 44.07\\\Rightarrow t \approx \bold{6.64\ sec}

6 0
2 years ago
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