Answer:
Option C
Step-by-step explanation:
From the picture attached,
Given:
SE ≅ EP
∠ESA ≅ ∠ EPN
To Prove:
ΔSEA ≅ ΔPEN
Solution:
Statements Reasons
1). SE ≅ EP 1). Given
2). ∠ESA ≅ ∠ EPN 2). Given
3). ∠SEA ≅ ∠NEP 3). Vertical angles theorem
4). ΔSEA ≅ ΔPEN 4). By ASA postulate
Therefore, Option C is the correct option.
To solve this problem, first we have to find the measure of <BAC. To do this, we must set up an equation that represents that <BAC and <DAB are supplementary, meaning their sum is 180 degrees. Since we know that <DAB is 123 degrees, we can make our equation: 180 = 123 + m<BAC. To solve this equation, we simply just subtract 123 from both sides, making your answer: m<BAC = 57 degrees.
Next, we must use our knowledge that the three inner angles of a triangle must add up to a total of 180 degrees. Therefore, 180 = 58 + 57 + x, using our knowledge from previous work and the values from the figure. If we combine like terms on the right side of the equation, we get: 180 = 115 + x. Our final step is to subtract 115 from both sides to get the variable x alone, so we get: x=65.
Therefore, your answer is x=65 degrees.
Hope this helps!
Answer:
Step-by-step explanation:
Equation for line of slope -6 that passes through (0,-2):
y+2 = -6(x-0)
y = -6x - 2
Plug in (g,-8) and solve for g:
-8 = -6g - 2
g = 1
Answer:
Use a square root calculator online
Step-by-step explanation: