Answer:
d. 89°
Step-by-step explanation:
The given measure of the angles formed are;
m∠AED = 48°, m
= 175°
According to circle theorem, the angle formed by a chord and a tangent of a circle is given by half of the measure of the arc intercepted by the chord in the direction of the angle;
Therefore;
m∠AED = (1/2) × m
= 48°
∴ m
= 2 × 48° = 96°
m∠AEF = (1/2) × m
m
+ m
= 360° (angle round a circle)
∴ m
= 360° - m
= 360° - 96° = 264°
m
= m
+ m
∴ m
= m
- m
= 264° - 175° = 89°
m
= 89°.
Answer:
≈ 33°
Step-by-step explanation:
So, first, you can draw a visual. Refer to the image attached below:
Using this info, you can use trigonometric ratios. Recall that:
tangent = opposite side/adjacent side
sine = opposite side/ hypotenuse
cosine = adjacent side/hypotenuse
You can clearly see that you have an opposite side and a given hypotenuse. This means we'll be using sine.
So:

However, we're not trying to find sinX, we're trying to find X.
So we would have to use inverse sine, which would then be:

Put this into your calculator, and:
X ≈ 33.05573115...
<h2>
Hello!</h2>
The answer is:
The expression for the number of sweets that Sara and Tim have now, are:

<h2>
Why?</h2>
To write the expressions for the number of sweets that Sara and Tim have now, we need to follow the next steps:
Sara starts with 24 sweets and Tim starts with 24 sweets

Then, Sara gives Tim x Sweets

Then. Sara eats 7 of her Sweets

Then, Tim eats half of his sweets

So, the expression for the number of sweets that Sara and Tim have now, are:

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