Step-by-step explanation:
the angle CDB is the supplementary angle to 9x+10 (angle ADC).
that means they stand together for 180°. as all angles around a single point on one side of a line are together always 180°.
and then, the sum of all angles in a triangle is always 180°.
so,
CDB + (4x + 10) + 50 = 180
CDB = 180 - (9x + 10) = 180 - 9x - 19 = 170 - 9x
therefore,
(170 - 9x) + (4x + 10) + 50 = 180
170 - 9x + 4x + 10 + 50 = 180
-5x = -50
5x = 50
x = 10
angle CDB = 170 - 9x = 170 - 90 = 80°
Answer:
$84
Step-by-step explanation:
Find how many miles she traveled by multiplying 80 and 2.
80 × 2 = 160 miles
Next find out how much she gets paid for her mileage by multiply $0.60 and 160.
160 × $0.60 = $96.00
Now find out how much she spent on gas. She gets 40 miles per gallon so solve how many gallons she used by dividing 160 by 40.
160 ÷ 40 = 4 gallons
Then multiply 4 gallons by $3.00
4 × 3 = $12
To find the net rate of pay subtract 96 and 12
$96 - $12 = $84
Answer:
1/2 of an inch will be burned in 1 hour.
Step-by-step explanation:
The answer is 46°.
The measure of an inscribed angle is equal to (1/2) the measure of the intercepted arc.
That means that, since ADC is 23 degrees, doubling that gives you 46 degrees, the measure of the intercepted arc.
Central angles are equal to the measure of the intercepted arc, which in this case is the same arc we just calculated.
Therefore it's 46.
