Answer:
HK = 24
Step-by-step explanation:
HK and JL are diagonals of the parallelogram.
Recall that diagonals of a parallelogram bisect each other. This implies that, they divide each other into equal parts.
Therefore,
HK = 2(HM)
HM = 12
Thus,
HK = 2(12)
HK = 24
Answer:
x = 9, Angles are 54°
Step-by-step explanation:
First, we need to find x:
7x-9 = 5x+9
+9 +9
7x = 5x+18
-5x -5x
2x = 18
x = 9
Now, we plug our x value in to find our angles.
5(9) + 9 = 54
Angle B = 54°
7(9) - 9 = 54°
Angle E = 54°
(angles are the same due to AAA property)
Answer:
Step-by-step explanation:
b) Diameter of Mercury = 4.88 * 10³ = 4.88 * 1000 = 4880 km
Radius of Mercury = 4880÷ 2 = 2440 km
c) Mass of Jupiter = 1.898 * 10²⁷ = 18.98 * 10²⁶
Mass of Saturn = 5.68 * 10²⁶
Difference = 18.98 * 10²⁶ - 5.68*10²⁶
= (18.98 - 5.68) * 10²⁶
= 13.30 * 10²⁶
= 1.330 * 10²⁷
X-int. is (5/7,0)
y-int. is (0,5)
Answer:
b) y = 289.815 when 
Step-by-step explanation:
We are given the following information in the question:
where y is the dependent variable,
are the independent variable.
The multiple regression equation is of the form:
where,
: is the intercept of the equation and is the value of dependent variable when all the independent variable are zero.
: It is the slope coefficient of the independent variable 
.
: It is the slope coefficient of the independent variable 
.
- The regression coefficient in multiple regression is the slope of the linear relationship between the dependent and the part of a predictor variable that is independent of all other predictor variables.
Comparing the equations, we get:
- This means holding constant, a change of one in is associated with a change of 0.5906 in the dependent variable.
- This means holding constant, a change of 1 in is associated with a change of 0.4980 in the dependent variable.
b) We have to estimate the value of y
