Answer:
= 130°
Step-by-step explanation:
Angles subtended at the center by the arcs
and
are ∠HPG and ∠EPF.
Since these angles are the vertical angles both will be equal.
m∠HPG ≅ m∠EPF
3x - 10 = 2x + 10
3x - 2x = 10 + 10
x = 20
Therefore,
= 50°
Similarly
= 50°
In the same way angles subtended at the center will be equal.
m∠EPH ≅ m∠FPG
and 
Since
°



Therefore, measure of arc EH = 130°
The sum of the sequence is 750
<h3>How to determine the sum of the series?</h3>
The series is given as:
150, 120, 96, and 76.8,
Start by calculating the common ratio using:
r = T2/T1
This gives
r = 120/150
r = 0.8
The sum of the series is then calculated as:

This gives

Evaluate
S = 750
Hence, the sum of the sequence is 750
Read more about sequence at:
brainly.com/question/6561461
#SPJ1
Set up a proprtion and cross multiply.
18/7.5=22/4x+1
7.5×22=18 (4x+1)
165=72x+18
147=72x
x=2.04
Hey!
Weight of small box = 5 lb. x no. of small boxes total weight = 5*x
Weight of Large boxes = 12 lb. y no. of large boxes total weight = 12*y
Total weight = 5x + 12y.
Since total weight carrying capacity of shelf is 80, thus the inequality becomes:
5x + 12y Less than or equal to 80.
(a) satisfies the inequality.
(b) satisfies the inequality.
Hope my answer helps!