1. Angle DEF
2. Definition of congruent angles
3. The measure of angle GHI
Answer:
3×5×53
Step-by-step explanation:
You can use divisibility rules to find the small prime factors.
The number ends in 5, so is divisible by 5.
795/5 = 159
The sum of digits is 1+5+9 = 15; 1+5 = 6, a number divisible by 3, so 3 is a factor.
159/3 = 53 . . . . . a prime number,* so we're done.
795 = 3×5×53
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* If this were not prime, it would be divisible by a prime less than its square root. √53 ≈ 7.3. We know it is not divisible by 2, 3, or 5. We also know the closest multiples of 7 are 49 and 56, so it is not divisible by 7. Hence 53 is prime.
Answer:
C
Step-by-step explanation:
given a triangle with 2 sides and the angle between them given, then the area (A) is calculated as
A = 
bc sinA
the 2 sides are b = 4, c = 6 and ∠ A = 35° , then
A = × 4 × 6 × sin35° = 12 × sin35° ≈ 6.9 m² ( to the nearest tenth )
Answer:
1) D
2) D
Step-by-step explanation:
1. Use 360 - x˚ - y˚ - 117˚ - 62˚
2. Recognize that 1) can be either 62 or 63
3. Plug either number into x to get y
4. y = 118 when x = 63
Answer:
4 Hours.
Step-by-step explanation:
You would set this up as an equality where x represent hours
19.00 + 1.50x = 14+2.75x
You then get the x on one side by subtracting 14 from both sides and 1.50x from both sides.
5 = 1.25x
Divide both sides by 1.25 to x by itself.
4 = x
