Answer:
129
Step-by-step explanation:
If three lines CD, CE and CF extend from point C, then the following addition postulate is true;
<DCE + <ECF = <DCF
If the space between line C D and C E is 75 degrees, then <DCE = 75
If the space between lines C E and C F is 54, then <ECF = 54.
Substitute the given values into the expression above will give;
<DCF =<DCE + <ECF
<DCF = 75+54
<DCF = 129
Hence the measure of <DCF is 129°
Answer:
B
Step-by-step explanation:
To calculate the area of this triangle we can use the Heron’s formula
Mathematically we have the Heron’s formula as;
A = √s(s-a)(s-b)(s-c)
where s = (a + b + c)/2
Thus, s = (15 + 12+ 10)/2 = 18.5
a = 15, b = 12 and c = 10
Plugging these values into the equation, we have
√18.5(18.5-15)(18.5-12)(18.5-10)
= √18.5(3.5)(6.5)(8.5)
= √ 3,577.4375
A = 59.8116
which is approximately 59.8 square units
8x5=40
So the car is 40 inches long
Answer: 30 cards
Step-by-step explanation:
To find the greatest possible number of cards in each pile such that there is the same number of cards in each pile we need to find the greatest common factor of 750 and 660.
Using Euclid division method , we have
Hence, the greatest common factor of 750 and 660 = 30
Thus, there will be 30 cards in each pile.
