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Amiraneli [1.4K]
3 years ago
9

can someone plzz help . Write and solve an the equation to find the value of x and the missing angle measures​

Mathematics
1 answer:
alexandr402 [8]3 years ago
3 0

Answer:

x=9

Angles = 50

Step-by-step explanation:

The angles are alternate interior angles and alternate interior angles are equal

4x+14 = 6x-4

Subtract 4x from each side

4x+14-4x = 6x-4-4x

14 = 2x-4

Add 4 to each side

14+4 = 2x-4+4

18 =2x

Divide by 2

18/2 =2x/2

9 =x

The angles are equal

4x+14 = 6x-4 = 4(9)+14 = 36+14 = 50

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Please answer correctly !!!!!! Will mark brainliest !!!!!!!!!!!!!
romanna [79]

Answer:

x = - 9, x = 10

Step-by-step explanation:

Given

x² - x - 90 = 0

Consider the factors of the constant term (- 90) which sum to give the coefficient of the x- term (- 1)

The factors are - 10 and + 9, since

- 10 × 9 = - 90 and - 10 + 9 = - 1 , thus

(x - 10)(x + 9) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 10 = 0 ⇒ x = 10

x + 9 = 0 ⇒ x = - 9

lesser x = - 9

greater x = 10

5 0
3 years ago
Find the value of tan F rounded to the nearest hundredth , if necessary
spin [16.1K]

Using it's formula, it is found that the tangent of F is given by:

  • \tan{F} = \frac{6\sqrt{85}}{85}

<h3>How to find the tangent of an angle?</h3>
  • In a right triangle, the tangent of an angle is given by the length of the opposite leg divided by the length of the adjacent leg.

Researching the problem in the internet, it is found that for the <em>right triangle</em> in this problem:

  • The length of the opposite leg to angle F is of 6.
  • The length of the adjacent leg to angle F is of x.
  • The length of the hypotenuse is of 11.

Applying the Pythagorean Theorem, we have that:

6^2 + x^2 = 11^2

36 + x^2 = 121

x^2 = 85

x = \sqrt{85}

Considering that the tangent is the length of the opposite leg divided by the length of the adjacent leg, we have that:

\tan{F} = \frac{6}{\sqrt{85}} \times \frac{\sqrt{85}}{\sqrt{85}} = \frac{6\sqrt{85}}{85}

To learn more about tangent, you can take a look at brainly.com/question/24680641

7 0
3 years ago
If x varies inversely as p and x=2 when p=4 find the formula connecting them​
Doss [256]

Answer:

x = \frac{p}{2}

Step-by-step explanation:

x ∝ p

x = kp -------(1)

<em><u>Where k is the constant of proportionality.</u></em>

Now, x = 2 when p = 4

<em>Putting in the above formula</em>

2 = k(4)

<em>Dividing both sides by 4</em>

k = \frac{2}{4}

=> k = \frac{1}{2}

Putting k in (1)

x = \frac{p}{2}

<em>Now this is the required equation connecting both.</em>

4 0
4 years ago
A surveyor wants to know the length of a tunnel built through a mountain. According to his equipment, he is
MrMuchimi

Answer:

Length of the tunnel is 51.7 meters

Step-by-step explanation:

We are given that,

The surveyor is located 54 meters from one entrance at an angle of 56°.

The surveyor is located 31 meters from one entrance at an angle of 13°.

Let the length of the tunnel = x meters

So, using the law of cosines, we get,

x^2=54^2+31^2-2\times 54\times 31\times \cos 69

i.e. x^2=2916+961-3348\times 0.3584

i.e. x^2=3877-1199.9

i.e. x^2=2677.1

i.e. x = 51.7 meters

Hence, the length of the tunnel is 51.7 meters

5 0
3 years ago
The whale swims down 300 feet to feed. What is the whale elevation now
Luba_88 [7]

Answer:

If the whale swims 300 feet below the surface it would be -300 feet below the sea level

Step-by-step explanation:

5 0
3 years ago
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