Answer:
the answer is B, complementary angles
Step-by-step explanation:
complementary angles are two angles that add up to 180 degrees
105 + 75 = 180
Answer:
measure of ∠ABD = 42°
Step-by-step explanation:
Angle Formed by Tangent and Secant = (1/2)*(difference of Intercepted Arcs)
In this case the intercepted arcs are: minor arc AC and minor arc AD. Let´s first find minor arc AD, we know that:
minor arc AC + minor arc CD + minor arc AD = 360°
Then,
minor arc AD = 360° - minor arc AC - minor arc CD
minor arc AD = 360° - 72° - 132°
minor arc AD = 156°
Replacing in the aforementioned formula:
Angle Formed by Tangent and Secant = (1/2)*(difference of Intercepted Arcs)
∠ABD = (1/2)*(minor arc AD - minor arc AC)
∠ABD = (1/2)*(156° - 72°)
∠ABD = 42°
Answer:
$65.52
Step-by-step explanation:
y = mx + b
y = amount spent on fuel = ?
m = price per gallon = $3.90
x = gallons = 16.8
b is not needed for this problem
y = (3.90)(16.8)
y = $65.52
Answer:
8.3 %
Step-by-step explanation:
Mayelle earns $18000 per year. Mayelle earning is increased by $19500, to calculate the percentage increase in earnings, we divide the difference between earnings after increase and earnings before increase by the earnings before increase and then multiply the result by 100. The percentage increase is given by:
Increase in pay = (Earnings before increase - earnings after increase) / Earnings before increase × 100%
Increase in pay = ($19500 - $18000)/ $18000 × 100% = 8.3 %
So, the first 10 suits came with a commission of 5%, so for each suit it was:
250*5%
this is

but this counts for 10 suits, so together his commssion was 10*12.5=125 dollars
and the "extra" 3 suits came with a comittion of 5+3 percent, so 8 percent, which is

for each suit, and 60 in total.
his total comission was 125+60=185 dollars.