Answer:
D) Angle DAC is congruent to Angle BAC
Step-by-step explanation:
Given:
The triangles ABC and ADC are congruent by SAS postulate.
SAS postulate means two corresponding sides are congruent to each other and the included pair of angles are also congruent to each other.
From the figure, consider the triangles ABC and ADC.
AB = AD (Given)
AC = AC ( Reflexive property. Side AC is a common side to both triangles)
Now, the pair of angles included between these two pair of sides are angle BAC and angle DAC.
So, in order to prove the two triangles congruent by SAS postulate, we need to prove angle DAC congruent to angle BAC. Therefore, the correct option is option D.
Answer:
36/42
Step-by-step explanation:
Method 1: Realize that the desired equation will look exactly the same as the given equation 3x − 4y = 6, except that the constant will be different.
Thus, the equation of the new line is 3(-2) − 4(6) = C, where C comes out to 30.
Then the new line is 3x - 4y = 30.
An hourglass is turned over with the top part filled with
sand. after 3 minutes, there are 855 ml of sand in the top half. after 10
minutes, there are 750 ml of sand in the top half. This can be represents a two
points ( 3, 855) and (10, 750) . using this to solve the slope m =
(750-855)/(10-3) = -15. And using one point the equation is y = -15x + 900.
Answer:
59
Step-by-step explanation:
2x+2 = 120 because they are vertical angles
2x = 118
x = 59
