Answer:
A,C,D,E
Step-by-step explanation:
The first one is true because in fact, supplementary angles' measures add up to 180°.
The second one is false because there are 5 types, not 3. These are the types:
acute angle-an angle between 0 and 90 degrees.
right angle-an 90 degree angle.
obtuse angle-an angle between 90 and 180 degrees.
straight angle-a 180 degree angle.
reflex angle- a angle between 180 and 360 degrees.
Third is true too because linear pair means two angles that form a straight line, or 180°.
Fourth is true because straight Angle theorem states that all the straight angles are 180 degrees. If the legs are pointing exactly in the opposite directions, then it forms a straight angle.
Last one is true because by definition complementary angles always form a right angle, which is 90°.
Hope it helps!
The length of the envelope is 6.3 inches
Step-by-step explanation:
Width of the envelope = 3 inches
Diagonal of the envelope = 7 inches
To find:
The length of the envelope.
Let the length of the envelope be 'l'
We can use pythogoras theorem to calculate the length.
l = √(49-9)
l = √(40)
l = 6.3 inches
The length of the envelope is 6.3 inches
Answer:
c) 62.
Step-by-step explanation:
Let x represent number of customers came in on the fifth day.
We have been given that the mean number of customers for those four days is 52. So total number of customers on 4 days would be 4 times 52 that is 208 customers.
We know that mean of a data set is equal to sum of all data points divided by number of data points.
Total number of customers on 5 days would be
and total number of days is 5.
Since we need a mean of 54, so we can set mean of 5 days equal to 54 as:

Multiply both sides by 5:




Therefore, 62 customers must come in on the fifth day to make the five-day mean 54 and option 'c' is the correct choice.
Answer:
y = 6, RS = 35 and ST = 17
Step-by-step explanation:
Given that,
RS = 5y+5
ST = 2y+5
RT = 52
If we consider a number line,
RT = RS + ST
52 = 5y+5 + 2y+5
52 = 7y + 10
7y = 52-10
7y = 42
y = 6
RS = 5y+5
= 5(6)+5
= 35
ST = 2y+5
= 2(6) +5
= 17
Hence, this is the required solution.
OKay i willl help what are the questions