Answer:
after reflection over y axis
a 9,7
b 9,6
c 0,6
d 0,7
Answer:
Part 1) m∠1 =(1/2)[arc SP+arc QR]
Part 2) 
Part 3) PQ=PR
Part 4) m∠QPT=(1/2)[arc QT-arc QS]
Step-by-step explanation:
Part 1)
we know that
The measure of the inner angle is the semi-sum of the arcs comprising it and its opposite.
we have
m∠1 -----> is the inner angle
The arcs that comprise it and its opposite are arc SP and arc QR
so
m∠1 =(1/2)[arc SP+arc QR]
Part 2)
we know that
The <u>Intersecting Secant-Tangent Theorem,</u> states that 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
In this problem we have that

Part 3)
we know that
The <u>Tangent-Tangent Theorem</u> states that if from one external point, two tangents are drawn to a circle then they have equal tangent segments
so
In this problem
PQ=PR
Part 4)
we know that
The measurement of the outer angle is the semi-difference of the arcs it encompasses.
In this problem
m∠QPT -----> is the outer angle
The arcs that it encompasses are arc QT and arc QS
therefore
m∠QPT=(1/2)[arc QT-arc QS]
Answer:
The measure of
is 30°.
Step-by-step explanation:
In the statement, the angle has been misrepresented. The corrected statement is described below:
<em>"On a unit circle, the terminal point of </em>
<em> is </em>
<em>. What is </em>
<em>?"</em>
The measure of the angle (
), in radians, is in standard form, that is, it is done with respect to the +x semiaxis. The measure of the angle whose terminal point is of the form
is determined by the following inverse trigonometric function:
(1)
If we know that
and
, then the measure of
is:


The measure of
is 30°.
Answer:

Step-by-step explanation:
see the attached figure to better understand the problem
we know that
The perimeter of triangle PST is equal to

step 1
Find the length PS
In the right triangle PST
---> opposite side angle of 48 degrees divide by the hypotenuse
substitute the given values

Solve for PS


step 2
Find the length TS
In the right triangle PST
---> adjacent side angle of 48 degrees divide by the hypotenuse
substitute the given values

Solve for TS


step 3
Find the perimeter

we have



substitute
