Answer:
m<C = 56°
m<D = 124°
Step-by-step explanation:
Of CDEF is a parallelogram then the sum of angle m<C and angle m<D must be equal to 180°
4x + 28 + 17x + 5 = 180 add like terms
21x + 33 = 180 subtract 33 from both sides
21x = 147 divide both sides by 21
x = 7 now to find the measure of each angle replace x with 7
Answer:
Step-by-step explanation:
Formula = a^2 + b^2 = c^2
Putting values
= (31)^2 + (48)^2 = (51)^2
= 961 + 2304 = 2601
= 3265 = 2601
Both sides are not equal so it is not a right triangle
Answer:
Step-by-step explanation:
a + c = 92.....c = 92 - a
8a + 5c = 688
8a + 5(92 - a) = 688
8a + 460 - 5a = 688
3a = 688 - 460
3a = 228
a= 228/3
a = 76 <==== adults
a + c = 92
76 + c = 92
c = 92 - 76
c = 16 <=== children
Answer: x≤0 is the answer or (−∞,0
]
Step-by-step explanation:
First, let me do the Mathematical part of that, and then I shall explain the theory behind it.
Mathematical part:
We are going to multiply 513 with 46. So the two partial products that we are going to choose are 40 and 6.
Multiply 513 with 6 first.
513
x46
--------------------------
18 (as 6*3 = 18)
60 (as 6*10 = 60; In 513, the digit at tenths place is 1, so 1*10=10)
3000 (as 6*500 = 3000; In 513, 5 is at hundredth place, so 5*100=500)
120 (as 40*3 = 120; since 4 is at the tenth place, so 4*10=40)
400 (as 40*10 = 400)
20000 (as 40*500 = 20000)
--------------------------
23598 (Add all of them)
Theory:
As you can see above that we have chosen the two partial products individually which are 6 and 40. Since 4 in 46 is in tenth place, we have to consider it 40 (since 4*10 = 40). One by one, we first multiply 6 with 513. Then we move to the tenth place, and multiply 513 with 40. At the end, we have added all the results we found after multiplication.
Check: If we check the multiplication result by using the calculator, we would get the same result (23598).
Another Method (instant):
513 * (40+6) = (513*40) + (513*6) = 23598.
