Answer:
<2 and <4 = 74 degrees
Step-by-step explanation:
<7=<1, alt exterior angles
<1=<3, opposite angles
<1+<2= 180
since angle one is 106 just subtract 106 from 180 and you get 74= <2
<2 and <4 are opposite angles so they are congruent
therefore, <2 and <4 = 74 degrees.
Answer:
x = 28.
Step-by-step explanation:
1/2x - 12 = 12
Add 12 to both sides:
1/2x - 12 + 12 = 12 + 12
1/2x = 24
Now, to isolate x we multiply both sides by 2:
1.2 x * 2 = 24 * 2
x = 48.
Complementary angles ⇒ the angles add up to 90°
∠A and ∠B are complementary ⇒ ∠A + ∠B = 90°
∠A + ∠B = 90°
Plug in the values for ∠A and ∠B:
(3x - 8) + (5x + 10) = 90
Open the brackets:
3x - 8 + 5x + 10 = 90
Combine like terms:
8x + 2 = 90
Subtract 2 from both sides:
8x = 88
Divide both sides by 8:
x = 11
Answer: x = 11
Answer:
$40
Step-by-step explanation:
100% - 20% = 80%
80% of $50 = 0.8 × $50 = $40
Answer:
(0, 6)
explanation:
- original coordinates of C: (5, -6)
if reflected over x-axis, then use the formula: (x,y) → (x, -y)
then if translated -5 horizontally, there will be change in x axis
- new coordinates: (5-5, 6) → (0, 6)