Alex drew a circle with right triangle PRQ inscribed in it, as shown below:

Mathematics

1 answer:

Bess [88]3 years ago

3 0

Answer:

A) 50°

Step-by-step explanation:

You know the measure of QR and the measure of a full circle is 360°. You can use the arcs to help you find the angle measure. A chord is 180°, so the arc intersecting it (arcPQ) is 180°.

Full circle - arc QR - arc PQ = arcPR

360° - 80° -180° = 100°, so arcPR = 100°.

measure of a central angle = measure of the arc it is intersecting

But ∠PQR is not a central angle, it is an inscribed angle, and

measure of inscribed angle = 1/2 measure of the arc it's intersecting

m∠PQR = 1/2 arcQR

m∠PQR = 1/2 (100°)

m∠PQR = 50°

You might be interested in

Please answer correctly !!!!!!!!!! Will<br> Mark brainliest !!!!!!!!!!!!

nydimaria [60]

Answer:

Step-by-step explanation:

The discriminant is what's under the square root sign in the quadratic equation. The equation for the discriminant is $b^{2}-4ac$ , where b is the coefficient of x, a is the coefficient of $x^{2}$ , and c is the number with no variable attatched to it. If we plug in the numbers ( $17^{2} -4*4*3$ ) it gives you 241, which is the discriminant. Since 241 is more than zero, it has 2 zeros. If the discriminant was 0, there'd be 1 zero, and less then zero there would be zero zeros.