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3 years ago

If DE=52 and EF=21, find DE

Mathematics

1 answer:

dalvyx [7]3 years ago

5 0

Answer:

Step-by-step explanation:

You already said that DE=52.

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3 years ago

Value of complex number i^7+1/i^4

Vera_Pavlovna [14]

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2 years ago

I’ve never been so confused, this is due in a few minutes, pls help if you can!

algol13

Given:

m(ar QT) = 220

m∠P = 54

To find:

The measure of arc RS.

Solution:

PQ and PT are secants intersect outside a circle.

<em>If two secants intersects outside a circle, then the measure of the angle formed is one-half the positive difference of the measures of the intercepted arcs.</em>

$$\Rightarrow \angle P = \frac{1}{2} (m \ ar (QT) - m \ ar (RS ))$

$$\Rightarrow 54 = \frac{1}{2} (220- m \ ar (RS ))$

Multiply by 2 on both sides.

$$\Rightarrow 2 \times 54 = 2 \times \frac{1}{2} (220- m \ ar (RS ))$

$$\Rightarrow 108= 220- m \ ar (RS )$

Subtract 220 from both sides.

$$\Rightarrow 108-220= 220- m \ ar (RS )-220$

$$\Rightarrow -112= -m \ ar (RS )$

Multiply by (-1) on both sides.

$$\Rightarrow (-112)\times(-1)= -m \ ar (RS )\times(-1)$

$$\Rightarrow 112= m \ ar (RS )$

The measure of arc RS is 112.

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3 years ago

Find the slope of y = log ⁡ ( x^3 ) at x = 1.

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3 years ago

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2 years ago

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