Answer: x = 40
Step-by-step explanation:
these two angles are vertical angles, they will equal each other
therefore, move numbers and variables to the opposite sides of the = sign to isolate the X
3x-10 = 2x + 30
+10 +10 move the -10 by doing opposite
_____________
3x = 2x + 40
-2x -2x move -2x by doing opposite
____________
x = 40
you can check your work by substituting 40 in place of x
3(40) - 10 = 2(40) +30
120-10 = 80 + 30
110 = 110
answer is correct
B is the correct answer
hope this helps
Answer:
The answer is attached to the picture
This value is in the positive quadrant meaning that all values remain positive. To answer this problem you must have an understanding of trig ratios being that tangent is opposite/adjacent. When you plot the points and draw a triangle using the origin of the point, you find that the adjacent value is 5 and opposite value is 15
Answer:
Step-by-step explanation:
5. a) ∠1 and ∠2 are remote interior angles of ∠ACD so that means that ∠ACD = ∠1 + ∠2
b) Because an exterior angle is the sum of its two remote interior angles it makes sense that an exterior angle is greater in measure than either of its remote interior angles.
6. BD = DB Reflexive property
∠3 = ∠5, ∠4 = ∠6 Alt. int. angles
ΔADB = ΔCDB ASA
7. AB = BC Def. of midpoint
∠1 = ∠2 Given
∠BAE = ∠CBD Corresponding angles
ΔBAE = ΔCBD ASA
∠D = ∠E CPCTC
