(35n 3-30n 2+25n)÷(-5n)
:35n×3-30n×2+25n÷(-5n)
(35n×3)-(30n×2)+25n÷(-5n) 105n-60n+{25n÷(-5n)}
105n-60n+(-5n)
45n+(-5n)
40n
14. Hope my answer helped you!! :)
Answer:
a= 18x
Step-by-step explanation:
(a+d)/2 = 10x (1)
(b +c)/2 = 8x (2)
(b+c+d)/3 = 6x (3)
From the equation 2, we have (b+c)= 8x *2 = 16x
From the equation 3, we have d= 6x*3 - (b+c)= 18x- 16x = 2x
From the equation 1, we have a= 10x*2 -d= 20x - 2x= 18x
The options in this question are not given; here is the complete question:
A medical researcher measures the increase in heart rate of patients under a stress test. What kind of variable is the researcher studying?
A. Identifier
B. Categorical
C. Quantitative
D. Qualitative
The answer to this question is C. Quantitative
Explanation:
In research, a quantitative variable refers to a variable or factor that involves using numbers, percentages, and in general, quantities to be understood. Moreover, this is the opposite of qualitative variables that involve using qualities. The medical research described includes a quantitative variable because heart rate can only be measured and understood through numbers. Also, other types of variables such as qualitative or categorical are not involved because these are related to qualities rather than numbers.
Answer:
B. 75°
C. 105°
Step-by-step explanation:
We are given the figure of parallel lines with a line intersecting both of them as shown in the figure below.
B) We have, the car going south-west on King Avenue turns left onto 3rd street.
As, the lines representing 3rd street and 4th street are parallel. Their corresponding angles will be equal.
So, ∠1 = 75°
As, King Avenue intersects 3rd street, the vertical angles will be equal.
So, ∠2 = ∠1 = 75°
Thus, the angle made by the car's turning is 75°.
C) We have, the car going north-east on King Avenue turns right onto 3rd street.
As, the sum of angles on a straight line is 180°.
So, ∠2 + ∠3 = 180°
i.e. ∠3 = 180° - ∠2
i.e. ∠3 = 180° - 75°
i.e. ∠3 = 105°
Thus, the angle made by the car's turning is 105°.
