Answer:
C. m∠4 = m∠8
D. m∠2 = m∠7
Step-by-step explanation:
Here, we use the principles of alternate angles, corresponding angles and vertically opposite angles to confirm which of the statements are true. Alternate angles are always equal, corresponding angles are equal, likewise vertically opposite angles.
From the given question, it was given that a is parallel to b. Thus, it can be observed and deduced that;
m∠4 = m∠8 (corresponding angles)
and
m∠2 = m∠3 (vertically opposite angles)
m∠3 = m∠7 (corresponding angles)
So that,
m∠2 = m∠7
Thus in the question, statements C and D are true.
Answer:
Explanatory Variable
Step-by-step explanation:
The variable that we can change is called the Explanatory variable.
The response variable dependent upon the explanatory variable, as we change the value of the explanatory variable the value of the response variable is also gets changed.
The number of years smoking a cigarette is in our control so it is an explanatory variable.
and, the impact of the number of years smoking a cigarette is directly on lung capacity, so it is Response variable.
5 units left and 7 units up
Answer:
There is no solution
Step-by-step explanation:
4x - 2y = 5 --> 4x - 2(2x + 10) = 5
4x - 4x - 20 = 5
4x - 4x -25 = 0
Final answer is -25 = 0 and so therefor it is no solution
A) w + 7 = L
B) w * L = 120
A) w = L -7 then substituting this into B)
(L-7) * L = 120
L² -7L = 120
L² -7L -120 = 0
Solving by quadratic Formula:
L1 = 15
L2 = -8
If length = 15, then width = 8
