Answer:
x =12
Step-by-step explanation:
Since this is an isosceles triangle the angles at the bases of the equal sides are equal
The unmarked angle is 4x
The 3 angles of a triangle total 180 degrees
4x+4x+ 84 =180
Combine like terms
8x +84 = 180
Subtract 84 from each side
8x +84-84 = 180 -84
8x =96
Divide by 8
8x/8 = 96/8
x =12
Answer:
247
Step-by-step explanation:
1,4,11,26,57,120. see the pattern that emerges from the series:
4–1 = 3; 3–1 = 2 = 2^1
11–4 = 7; 7 - 3 = 4 = 2^2
26 - 11 = 15; 15 - 7 = 8 = 2^3
57 - 26 = 31; 31 - 15 = 16 = 2^4
120 - 57 = 63; 63 - 31 = 32 = 2^5
so the next number should be 64+63 = 127+120 = 247.
check: 247–120 = 127; 127–63 = 64 = 2^6. correct.
so the next number is 247. 2^n+(n-1)
Hi,
The two numbers should be 12 and 30. 12=2x2x3 while 30=2x3x5.
Their HCF is 2x3=6 and their LCM is 2x3x2x5. Because of their HFC, we know that they are both multiple of 6. Also, the question says they both are GREATER than 6, so they can’t be 6 but are 6 times “something”. Thanks to the LCM, we know that “something” is equal to 2 for the first number and to 5 for the second one, the numbers hence being 12 and 30.
I hope this helps. If I was not clear enough or if you’d like further explanation please let me know. Also, English is not my first language, so I’m sorry for any mistakes.
Answer:
Step-by-step explanation:
Given that the hartford insurance company has hired you to poll a sample of adults about their car purchases.
Here the insurance company is using convenience sampling to select customers so they resorted to taking the names from telephone directories.
But this may not be reliable since persons owning cars need not have telephones and similarly persons having telephones need not own cars
Owning a car and name appearing in telephone directory need not be associated at all
So taking random sample of names from telephone directories may not give the required accurate result since here sample cannot be assumed to represent the population of car owners.
