12. for triangle mnp shown, find the value of x
and the measure of each of the three angles
m
/(2x – 1)º (2x + 1))

Step-by-step explanation:

Given:

The triangle is shown below.

We know that the sum of all interior angles of a triangle is equal to 180°.

Therefore,

Now, plugging the value of 'x' in each angle measure and determining its values. We get:

Therefore, the value of 'x' is 36° and the measure of the three angles are 36°, 71° and 73°.

Intersecting secant-tangent theorem states that if a tangent segment and a secant segment are drawn to a circle from an exterior point, then the square of the measure of the tangent segment is equal to the product of the measures of the secant segment and its external secant segment.so to break it down: 1. pq acts as the tangent and ps as the secant with an intersection at p.sr = 21rp = 3x + 3pq = 4x + 4following to equation: tangent squared = the two segments multiplied by each otherso (4x + 4) ^ 2 = (3x + 3) • (21) simplifies to 16x^2 - 31x - 47 = 0 or (16x - 47)(x + 1) x = -1 or x = 47/162. pq acts as the tangent and ps as the secant with an intersection at p (again! )sr = 16rp = xpq = 15(15) ^ 2 = 16 • x225 = 16xx = 225/163. the interesting chords are proportional to each other so a ratio is possible to set up: ap dp 10 3 + x = = —— = pc pb 8 xcross multiple to get 10x = (3 + x)(8)x = 12

What is the inequality?