We know that
If a tangent segment and a secant segment are drawn to a <span>circle </span><span>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
</span>so
AB²=BD*BC
BD=12
BC=12+15----> BC=27
AB²=12*27----> 324
AB=√324----> AB=18
the answer is
AB=18 units
Answer:
the opposite of 1 1/2(1.5) is -1 1/2(-1.5)
Step-by-step explanation:
Based on the calculations, the measures of angles 1 and 2 are 50° and 135° respectively.
<h3>What is the theorem of intersecting chord?</h3>
The theorem of intersecting chord states that when two (2) chords intersect inside a circle, the measure of the angle formed by these chords is equal to one-half (½) of the sum of the two (2) arcs it intercepts.
By applying the theorem of intersecting chord to circle U shown in the image attached below, we can infer and logically deduce that angle 1 will be given by this formula:
m∠1 = ½(53 + 47)
m∠1 = ½(100)
m∠1 = 50°.
Since angles 1 and 2 are linear pair, they are supplementary angles. Thus, we have:
m∠1 + m∠2 = 180°
m∠2 = 180 - m∠1
m∠2 = 180 - 50
m∠2 = 130°.
Read more on intersecting chords here: brainly.com/question/27251228
#SPJ1
Answer:
see explanation
Step-by-step explanation:
This is an example of the Altitude - on - Hypotenuse theorem.
The altitude that is perpendicular to the hypotenuse of a right triangle.
The two triangles formed are similar to the given triangle and to each other.
x² = (smaller part) × (larger part) of main hypotenuse
x² = 6 + 19 = 114 ( square root both sides )
x ≈ 10.68 ( nearest hundredth )
---------------------------------------------
y² = ( smaller part) × (whole part) of main hypotenuse
y² = 6 × 25 = 150 ( square root both sides )
y ≈ 12.25 ( nearest hundredth )
--------------------------------------------
z² = ( larger part) × (whole part) of main diagonal
z² = 19 × 25 = 475 ( square root both sides )
z ≈ 21.79 ( nearest hundredth )
Answer:
197
Step-by-step explanation: