We know that
in the triangle TQS
<span>applying the Pythagorean theorem
QS</span>²=TS²+TQ²---------> TQ²=QS²-TS²--------> TQ²=18²-9x²-----> equation 1
in the triangle TRS
TS²=TR²+RS²--------------> TR²=TS²-RS²-------> TR²=9x²-144----> equation 2
in the triangle QTR
TQ²=TR²+36-----------> equation 3
<span>I substitute 1 and 2 in 3
</span>18²-9x²=9x²-144+36--------> 18x²-432=0------> x²=24-------> x=√24
x=2√6
TS=3*x------> 3*2√6-----> 6√6
TS=6√6 units
the answer is
TS=6√6 units
<span>6 is the square root of 6 units</span>
Answer:
1
Step-by-step explanation:
When they say the value of h(x) they're asking what y value is when x=3. Hope this helps!
Answer:
B. sometimes
Step-by-step explanation:
Consecutive angles of a parallelogram are same side interior angles of two parallel lines cut by a transversal, so they are always supplementary.
Supplementary angles are two angles whose measures add to 180 deg.
If two angles are supplementary and one angle measures 90, then the other angle also measures 90 deg, and the two angles are congruent. If one angle measures less than 90 deg, then the other measure more than 90 deg and are not congruent. Therefore, these angles may or may not be congruent.
Answer: sometimes
Answer:
See graph in attachment.
Step-by-step explanation:
The graph of 
is a parabola that has its vertex at the origin.
The equation of the transformed graph is
The vertex of this transformed function is
Drag the blue graph up so that the vertex will now be at (4,3).
See graph in attachment.
