Step-by-step explanation:
there are 2 similar triangles : ABE and DCE
that means they have the same angles, and the scaling factor from one triangle to the other is the same for every side.
and that means that
DE/AE = EC/BE (= DC/AB)
we know that
AE = AD + DE
BE = BC + EC
a.
so, we have actually
DE/(AD+DE) = EC/(BC+EC)
DE/(10+DE) = 8/(2+8) = 8/10 = 4/5
DE = 4(10+DE)/5
5DE = 4(10+DE) = 40 + 4DE
DE = 40 cm
b.
AD/DE = 3/5
BC/EC must be 3/5 too.
15/EC = 3/5
15 = 3EC/5
75 = 3EC
EC = 25 cm
What question are you asking?
Answer:
b. 65
a. The notation f(-2) means that we want to evaluate the value of the equation when x = -2
Step-by-step explanation:
A. The notation f(-2) means that we want to evaluate the value of the equation when x = -2
B. We will simply substitute the value of 2 for x
f(x) = 6(8-x) + 5
f(-2) = 6(8 - (-2)) + 5
f(-2) = 6(8 + 2) + 5
f(-2) = 6(10) + 5 = 60 + 5 = 65
Answer:
hcf=(1,605; 600) = 3 × 5
Step-by-step explanation:
Prime Factorization of a number: finding the prime numbers that multiply together to make that number.
1,605 = 3 × 5 × 107;
1,605 is not a prime, is a composite number;
600 = 23 × 3 × 52;
600 is not a prime, is a composite number;
* Positive integers that are only dividing by themselves and 1 are called prime numbers. A prime number has only two factors: 1 and itself.
* A composite number is a positive integer that has at least one factor (divisor) other than 1 and itself.
Multiply all the common prime factors, by the lowest exponents (if any).
gcf, hcf, gcd (1,605; 600) = 3 × 5
gcf, hcf, gcd (1,605; 600) = 3 × 5 = 15;
The numbers have common prime factors.
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Answer:
8
Step-by-step explanation:
To find the mean, or average of a data set, add all the values together, then divide by the number of values.
The data set is: 6,7,9,9,9
1. Add all the values
Add 6,7,9,9 and 9
6+7+9+9+9
40
2. Divide by the number of values
Count how many numbers are in the data set. In this case, there are 5 numbers.
Divide 40 by 5.
40/5
8
The mean of the data set is 8.
