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:
The second, third and fourth are parallel to the given equation
Step-by-step explanation:
In order to determine if the slopes are the same, put all of the equations in slope-intercept form: y = mx + b. In order for lines in this form to be parallel, the m values of each have to be the exact same number, in our case, 4. Equation 2 has a 4 in the m position, just like the given, so that one is easy. Equation 2 is parallel.
Let's solve the third equation for y:
12x - 3y = 6 so
-3y = -12x + 6 and
y = 4x - 2. Equation 3 is parallel since there is a 4 in the m position.
Let's solve the fourth equation for y:
-20x + 5y = 45 so
5y = 20x + 45 and
y = 4x + 9. Equation 4 is also parallel since there is a 4 in the m position.
Answer:
I believe it will be 1/15
Step-by-step explanation:
The reason I think this is because there is more caned green beans then corn but at the same time she might choose corn because that might be a good dinner
Answer:
The answer is 36.
Step-by-step explanation:
36
/\
6 6
/\ /\
3 2 3 2
Answer:
X ~ B(n, p)
Given: X ~ B(2, 5/17)
⇒ n = 2
⇒ p = 5/17
Binomial distribution formula:
As n = 2, calculate P(X = 0), P(X = 1) and P(X = 2):
**Probability Distribution Table attached**
