Help on using the figure to find measure of each angle.

Mathematics

1 answer:

Sloan [31]2 years ago

3 0

Answer:

Triangle ABC is equal and that means all angles are the same

Step-by-step explanation:

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N76 [4]

Cool I guess hehehehehe

6 0

2 years ago

Show Work Please Thank You

Misha Larkins [42]

Answer:

$\displaystyle{x = \dfrac{\pi}{12}, \dfrac{\pi}{6}}$

Step-by-step explanation:

We are given the trigonometric equation of:

$\displaystyle{\sin 4x = \dfrac{\sqrt{3}}{2}}$

Let u = 4x then:

$\displaystyle{\sin u = \dfrac{\sqrt{3}}{2}}\\\\\displaystyle{\arcsin (\sin u) = \arcsin \left(\dfrac{\sqrt{3}}{2}\right)}\\\\\displaystyle{u= \arcsin \left(\dfrac{\sqrt{3}}{2}\right)}$

Find a measurement that makes sin(u) = √3/2 true within [0, π) which are u = 60° (π/3) and u = 120° (2π/3).

$\displaystyle{u = \dfrac{\pi}{3}, \dfrac{2\pi}{3}}$

Convert u-term back to 4x:

$\displaystyle{4x = \dfrac{\pi}{3}, \dfrac{2\pi}{3}}$

Divide both sides by 4:

$\displaystyle{x = \dfrac{\pi}{12}, \dfrac{\pi}{6}}$

The interval is given to be 0 ≤ 4x < π therefore the new interval is 0 ≤ x < π/4 and these solutions are valid since they are still in the interval.

Therefore:

$\displaystyle{x = \dfrac{\pi}{12}, \dfrac{\pi}{6}}$

8 0

1 year ago

Can someone pls help me with this question. Ill give brainliest!!

creativ13 [48]

Answer:

Keep plugging in the points and see the ones that work, for example, (-1,7)
$y=5x+12\\(7)=5(-1)+12\\7=7$ true, so select it
Keep doing that for the rest of them , some like (3,15) won't work so you just have to keep testing each point.