Answer:
x = 142°
Step-by-step explanation:
The first thing you need to figure out is the missing interior angle of the triangle.
There is 180 degrees in a triangle, there is a 90° and 52° angle listed, so subtract that from 180° to get the missing angle.
180° - 90° - 52° = 38°
Now we want the exterior angle x. Angle x and the interior angle form a straight line when combined which will also be a 180° angle. You can picture this as a half circle (a full circle is 360°).
So subtract the interior angle 38° from 180°
180° - 38° = 142°
ANSWER
I. The GCF of 6 and 16 is 3. FALSE
II. The LCM of 6 and 16 is 48. TRUE
III. 6 and 16 are both composite numbers. TRUE.
EXPLANATION
The GCF of 6 and 16 is not 3.
It is rather 2.
Factors of 6: {1,2,3,6}
Factors of 16:{1,2,4,8,16}
3 is not even a factor of 16.
The LCM of 6 and 16 is 48. This statement is true.
Composite numbers have more than 2 factors.
6 and 16 are both composite numbers.
Answer:
Step-by-step explanation:
Number of students in her class = x students
x is 2 more than a multiple of 4
This means x is an even number because multiples of 4 are even and adding 2 does not change its parity.
X is also 1 more than a multiple of 5. And we know x is and even number it has to be a multiple of 5 ending in 5, not 0. So 5 + 1 is 6.
All multiples of 4 ending in six are 16, 36, 56 ..... and so on
Since there are 15 girls and lower no of boys we need to find out which number of boys are there in 16, 36, 56.
16- 15 = 1
36 - 15 = 21
And 21 is more than 15 therefore the answer is 16 students. 15 girls and 1 boy.
Answer:
let no.be x
x * 25 = 320
↑ required equation
Step-by-step explanation:
Answer:
If these are the only two options, the most profitable is the first option (6% and 10 years).
Step-by-step explanation:
Giving the following information:
Initial investment (PV)= $3,000
Number of periods (n)= 10 years or 5 years
Interest rate (i)= 6% or 10%
<u>To calculate the future value (FV), we need to use the following formula:</u>
FV= PV*(1 + i)^n
6% interest rate:
FV= 3,000*(1.06^10)
FV= $5,372.54
10% interest rate:
FV= 3,000*(1.1^5)
FV= $4,831.53
If these are the only two options, the most profitable is the first option (6% and 10 years).
