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CaHeK987 [17]
1 year ago
6

A) What type of triangle is triangle ABC? isosceles b) Give reasons for your answer.

Mathematics
1 answer:
lara31 [8.8K]1 year ago
4 0

The type of triangle represented in the image attached to the task content is; Isosceles.

<h3>What type of triangle is triangle ABC?</h3>

By observation; since line AB and DE are parallel lines; it follows from the alternate Angie theorem that; <ABC = <BCE = 80°.

On this note, since angle ACD is 50°, the measure on <ACB is;

180 - 80 - 50 = 50°.

Therefore, since the sum of interior angle measures in a triangle is; 180°.

It follows that; <BAC is; 180 - 80 - 50 = 50°.

Hence, since the base angles; BAC and ACB are equal; it follows that the triangle in discuss is an isosceles triangle.

Read more on isosceles triangle;

brainly.com/question/1475130

#SPJ1

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Answer:

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d is vertical shift or midline.

In the equation equation, we must factor out 2 so we get

y =  - 6(2(x +  \frac{\pi}{4} )) + 3

Also remeber a and b is always positive

So now let answer the questions.

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b. Amplitude is

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Amplitude is 6.

c. Domain of a sinusoid is all reals. Here that stays the same. Range of a sinusoid is [-a+c, a-c]. Put the least number first, and the greatest next.

So using that<em> rule, our range is [6+3, -6+3]= [9,-3] So our range</em> is [-3,9].

D. Plug in 0 for x.

3 - 6 \sin((2(0) +  \frac{\pi}{2} )

3 - 6 \sin( \frac{\pi}{2} )

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E. To find phase shift, set x-c=0 to solve for phase shift.

x +  \frac{\pi}{4}  = 0

x =  -  \frac{\pi}{4}

Negative means to the left, so the phase shift is pi/4 units to the left.

f. Period is PI, so use interval [0,2pi].

Look at the graph above,

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