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3 years ago

What’s the value of x A- 86.5 B- 43.25 C- 133.25 D- 46.75

Mathematics

2 answers:

DiKsa [7]3 years ago

5 0

133.25 is the awnser for this question

oksano4ka [1.4K]3 years ago

5 0

Answer : The correct option is, (B) 43.25

Step-by-step explanation :

As we know that the sum of interior angles of a triangle is equal to $180^o$ .

$\angle D+\angle F+\angle E=180^o$

The given triangle is an isosceles triangle in which the angles opposite to equal sides are always equal.

Side DF = Side EF

So, $\angle D=\angle E=x^o$

Given : $\angle F=93.5^o$

$x^o+93.5^o+x^o=180^o$

$2x^o+93.5^o=180^o$

$2x^o=180^o-93.5^o$

$2x^o=86.5^o$

$x^o=\frac{86.5^o}{2}$

$x=43.25^o$

Thus, the value of 'x' is, $43.25^o$

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When a number is tripled,the results is -33

defon

Answer:

x = -11

Step-by-step explanation:

Considering tripled means multiplied by 3 because of tri, we know that we can use the equation 3x = -33.

To solve this we can divide both sides by 3:

3x = -33

x = -11

This gives our answer of -11.

4 0

2 years ago

Given that tangent theta = negative 1, what is the value of secant theta, for StartFraction 3 pi Over 2 EndFraction less-than th

vivado [14]

The value of tangent theta is equal to the negative 1. At this value the value of secant theta is $\sqrt{2}$ .

<h3>What is tangent theta?</h3>

The tangent theta in a triangle is the ratio of sine theta and cos theta. It can be written as,

$\rm tan\theta=\dfrac{sin \theta}{cos \theta}$

Given information-

The value of tangent theta is equal to the negative 1.

$\tan \theta=-1$

The tangent theta in a triangle is the ratio of sine theta and cos theta. It can be written as,

$\rm tan\theta=\dfrac{sin \theta}{cos \theta}$

The value of tangent theta is equal to the negative 1. Thus put the value in above expression as,

$\rm -1=\dfrac{sin \theta}{cos \theta}\\$

Simplify it further as,

$\rm -cos \theta=sin \theta$

When the value of cosine and sine theta is equal, then the angle exist in 4th quadrant with the value of $\dfrac{7\pi}{4}$ . Which extent to the $\sqrt{2}/2$ for the cosine function.

In the trigonometry cosine theta is the reciprocal of the secant theta. Thus,

$\rm \dfrac{1}{sec\theta}=\dfrac{\sqrt{2}}{2}\\sec\theta=\sqrt{2}$

Thus the value of secant theta is $\sqrt{2}$

Learn more about the tangent theta here;

brainly.com/question/29190

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2 years ago

Read 2 more answers

(6 + 3) = (4-5) =?<br>please help

NikAS [45]

Answer:

9=-1=?

Step-by-step explanation:

What is the question. Do you want us to evaluate it?

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2 years ago

What is the measure in radians for the central angle of a circle whose radius is 8 cm and intercepted arc length is 7.2 cm? Ente

natulia [17]

The measure in radians for the central angle of the circle is; 0.9 radians.

<h3>What is the angle measure in radians of the central angle?</h3>

Since, the length of the arc is given as 7.2cm and it's radius is 8cm.

It follows that the angle measure of the central angle can be evaluated as follows;

7.2 = (A/6.28) × 2× 3.14 × 8

7.2 = 8A

A = 7.2/8

A = 0.9 radians.