Answer:
Arc AB= 180 degrees
Arc BC= 15 degrees
Arc CA= 165 degrees
Step-by-step explanation:
In order to find the measure of each arc, start by recognizing that a circle equals 360 degrees, and the measure angle of the diameter of this circle is equal to half of 360 degrees, which is 180 degrees.
Since segment AB is the diameter of the circle, it will equal 180 degrees. Thus, causing arc AB equal to 180 degrees.
Next, arc BC equals 15 degrees because the measure of angle BOC is equal to the measure of arc BC.
Then, to find the measure of arc CA, use the diameter of the circle, which is segment AB. Segment AB is equal to 180 degrees, which makes arc AB equal to 180 degrees. Also known is the measure of arc BC, which is 15 degrees. To find the measure of arc CA, subtract the measure of arc BC from the measure of arc AB, and the answer will be 165 degrees.
This looks like 180 degrees - 15 degrees = 165 degrees.
To check if the arc measures are correct, add all the arc measures together. If they sum up to 360 degrees, then the measure of each arc is correct.
Answer:
Length SD is greater than length DM.
Step-by-step explanation:
We know that the measure of the opposite angle and a side are related, so by determining which angle is bigger, we can discover which side is longer.
Angle SUD is greater than angle MUD. Angle SUD is the opposite angle to SD, and angle MUD is the opposite angle to DM. Therefore, SD is greater than DM.
The answer is 2m because it is like if you had 3 mangoes and you eat one you would have 2 mangoes.<span />
Answer:
The Equation which shows the equality is 53 = 2 h + 5 ,
The age of Sunny's house is 24 years old
Step-by-step explanation:
Given as ;
The age of the house of Chen's is 53 years old
Let the age of of the house of sunny = h years old
So, according to question
Chen's house age is 5 years more than twice the age of sunny's house
I.e Chen's house age = 2 × sunny's house age + 5
Or, 53 = 2 × h + 5
or, 2 × h = 53 - 5
so . 2 × h = 48
∴ h = 
= 24 years
Hence The Equation which shows the equality is 53 = 2 h + 5 , And The age of Sunny's house is 24 years old . Answer
