Triangle ABD and CBD are congruent by the SAS postulate
Step-by-step explanation:
Step 1 :
Given ,
Segment AC is perpendicular to BD
Segment BD bisects segment AC
To prove the given two triangles are congruent
Step 2 :
Since AC is perpendicular to BD , We have ∠BDA and ∠BDC to be equal to 90 degrees
Also we have AD = DC , because BD bisects AC
BD is a side common to both the triangles and hence is the same
So we have two sides and angle between them (included angle) to be same for both the triangles.
Hence Triangle ABD and CBD are congruent.
3(2x+7) Given
6x+21 Distribute
Distribute by multiplying 3 and 2x getting 6x and multiplying 3 and 7 getting 21.
Answer:
is the fraction of sensors upgraded per unit.
Step-by-step explanation:
We are given the following in the question:
Let x be the number of upgraded sensors in one unit and y be the number of non-upgraded sensors in one unit.
Number of modular units = 30
Since some part of unit is upgraded and some are non-upgraded, then, we can write the equation:
Number of non-upgraded sensors =
Thus, we can write the equation:
Fraction of sensors upgraded per unit =
Answer:
0.487 kg
b.) the newborn weighs 0.487kg more than the weight predicted by the regression equation
Step-by-step explanation:
Given the Regression equation:
Weight = - 5.58 + 0.1686 length
Length of newborn = 48 cm
Actual Weight of newborn = 3kg
Predicted weight from regression model:
Weight = - 5.58 + 0.1686(48)
Predicted Weight = 2.513kg
Hence, residual = (Actual - predicted)
Residual = (3kg - 2.513kg) = 0.487kg
Since the actual weight is more or greater than the predicted weight:
b.) the newborn weighs 0.487kg more than the weight predicted by the regression equation
