Answer:
∠z is 79°
Step-by-step explanation:
Answer:
converge
Step-by-step explanation:
The ratio that you multiply by to get the next term is 2/3, which is less than 1, so the geometric series converges by the Geometric Series Test.
Answer:
x<10
Step-by-step explanation:
Add '-7' to each side of the equation.
7 + -7 + -0.3x = 4 + -7
Combine like terms: 7 + -7 = 0
0 + -0.3x = 4 + -7
-0.3x = 4 + -7
Combine like terms: 4 + -7 = -3
-0.3x = -3
Divide each side by '-0.3'.
x = 10
Simplifying
x = 10
Answer:
See below.
Step-by-step explanation:
Part A:
triangle QPR and triangle PSR are similar
Part B:
Triangle QPR is a right triangle with right angle QPR.
Triangle SPR is a right triangle with right angle PSR.
Angle QPR of triangle QPR corresponds to and is congruent to angle PSR of triangle PSR.
Angle R of triangle QSR corresponds to and is congruent to angle R of triangle PSR.
The similar triangles by AA Similarity are
triangle QPR and triangle PSR
Part C:
QR/PR = PR/SR
16/PR = PR/4
PR² = 16 * 4
PR² = 64
PR = 8
