Answer:
x = 11
Step-by-step explanation:
The sum of arcs of a semicircle is 180°. That fact can be used with the given angle relations to find the value of x.
<h3>Setup</h3>
The measure of an arc is the same as the measure of the central angle it subtends.
DC +CG +GF = 180
The angle bisector CH ensures that angles CHD and CHG are congruent. That means arcs CD and CG are congruent, and we have ...
DC +DC +GF = 180 . . . . . . . . . use DC for CG
2(7x -1) +(2x +6) = 180 . . . . . . . use the given expressions
<h3>Solution</h3>
This equation can be solved for x.
16x +4 = 180 . . . . . . . . . . . . simplify
16x = 176 . . . . . . . . . . . . subtract 4
x = 11 . . . . . . . . . . . . . divide by 16
You can easily tell if Keisha will finish reading the book by this equation:
y = 325 - 25x
where y is the number of pages left, and x is the number of days. A point slope for has a standard form of y - y1 = m(x - x1). Thus, we arrange it in this manner:
y = 25(13 - x)
Then, substitute x = 10:
y = 25(13 - 10)
y = 75
So, Keisha will not be able to finish the book in 10 days. There are still 75 pages left to read.
Answer:
1250 pounds.
Step-by-step explanation:
The weight of the cargo truck = 8750 pounds
Weight Limit = 5 tons
To determine what weight of cargo can be added, we simply subtract the weight of the cargo truck from the weight limit.
First, we ensure they are both in same metric units.
Now: 1 ton = 2000 pounds
Therefore, 5 tons = 5 X 2000 = 10000 pounds.
Weight of cargo that can be added= Weight Limit-Truck Weight
=10000-8750
=1250 pounds.
