Answer:
AC = 55°
Step-by-step explanation:
In this geometry, arcs AC and BD have the same measure. The sum of the parts of arc CD will total the measure of CD.
AC + AB + BD = CD
2AC +80 = 170
AC = 110/2 = 55
The measure of arc AC is 55°.
The value of 7 in 7,283 is 10 times the value of 7 in 2,783
Answer:
a.- slope= 36
Interpretation : The cable car travels 36 meter per minute
b.- y = 36x + 100
c.- 640 meters
Step-by-step explanation:
a.-
Find slope using the slope formula : 
Plug in the two given points: 
Subtract the numbers : 
Reduce the fraction : 36
b.-
Using the given y-interspet (100) and the slope create an equation: y = 36x + 100
c.-
Using the equation you created plug in 15 for x to find the
distance: y = 36 (15) + 100
Multiply the numbers : y = 540 + 100
Add the numbers : y = 640
Answer:
Correct option is
B
90
∘
,90
∘
,90
∘
Let AB and CD be two lines Intersecting at O, such that, ∠AOD=90
∘
Now, ∠AOD=∠COB=90
∘
(Vertically opposite angles)
⟹∠AOD+∠DOB=180
o
(Angles on a straight line)
⟹90+∠DOB=180
o
∠DOB=90
∘
∠DOB=∠AOC=90
∘
(Vertically opposite angles)
Thus, all angles are 90
∘
.
Answer:
E. 16 min 12 sec
Step-by-step explanation:
Let x represent total time taken to complete the exercise.
We have been given that Dara ran on a treadmill that had a readout indicating the time remaining in her exercise session.
When the readout indicated 24 min 18 sec, she had completed 10% of her exercise session. This means that 90% time of exercise is equal to 24 minutes and 18 seconds.
18 seconds will be equal to 0.3 minutes.
Let us find total time of exercise as:




To find readout when Dara had completed 40% of her exercise session, we need to find 60% of total time.

Since our time in in minutes, so we will convert 0.2 minutes to seconds by multiplying by 60.

Therefore, the readout will indicate 16 minutes 12 seconds, when Dara had completed 40% of her exercise session.