Answers:measure angle x = 40°
measure angle y = 35°
measure angle z = 55°
Explanation:Part (a): getting angle x:In triangle BED, we have:
measure angle BED = 90°
measure angle BDE = 50°
Therefore:
measure angle DBE = 180 - (90+50) = 40°
Now, we have angle DBE and angle GBF vertically opposite angles.
This means that they are both equal. Therefore angle GBF = 40°
Since angle GBF is x, therefore:
x = 40°
Part (b): getting angle y:We know that the sum of measures of angles on a straight line is 180.
This means that:
angle GBF + angle GBC + angle CBE = 180
We have:
angle GBF = 40°
angle GBC = 105°
angle CBE = y
Therefore:
40 + 105 + y = 180
y = 35°
Part (c): getting angle z:In triangle BCE, we have:
measure angle BCE = z
measure angle BEC = 90°
measure angle CBE = 35°
Therefore:
z + 90 + 35 = 180
z = 55°
Hope this helps :)
Answer:
-2/1
Step-by-step explanation:
i hope this helps :)
(n + 7)2 = n - 1
2n +14 = n - 1
2n - n +14 = n - n - 1
n + 14 -14 = -1 - 14
n = -15
(-15 + 7)2 = -15 - 1
(-8)2 = -16
-16 = -16
Answer:
v= 13
w= -32
Step-by-step explanation:
2v+6w=-36
5v+2w=1
2w= 1-5v
2v+ (3)(1-5v)= -36
2v+3-15v= -36
3-13v =-36
3--36= 13v
39= 13v
13 = V
5×13+2w=1
65+2w=1
1-65= 2w
-64=2w
-32=w
Answer: New line = 4AB
Step-by-step explanation:
- If a figure is dilated with a scale factor of k , then the measure of new side length = k x (Original side)
if AB a line through center of parallelogram RSTU is drawn , then, after dealation with scale factor k= 4 , the length of new line through center = 4 x AB or 4AB.
The relationship will the new line have with line AB :
New line = 4AB