Answer:
10+8x
Step-by-step explanation:
x + 20 + 2 (x-5) + 5x This is the problem
x + 20 +2x-10 + 5x You distribute the 2
From here you just combine the similar numbers. "x"s plus "x"s and ones without "x"s plus each other
x + 10 +2x + 5x 20-10 gets you 10
10 + 8x 5x+2x gets you 7. From that point x equal 1 (or 1x) and you get the answer of <u>10 + 8x</u>
Answer:
m∠DEA = 62°
m∠ADB (arc) = 194°
Angle ∠ADB = 21°.
Step-by-step explanation:
The given information are;
, m CB (arc) = 62°, m∠DAB (arc) = 104°
arc∠BCD = 360° - 104° = 256°
m DC (arc) = arc∠BCD - arc CB = 256° - 62° (Sum of angles)
Therefore DC (arc) = 194°
m DA ≅ m CB = 62° (Parallel lines congruent arc theorem. Arc between two parallel lines)
m∠DEA = 1/2×(arc DA + arc CB) = 1/2×(62° + 62°) =62°
m∠DEA = 62°
Arc AB = m∠DAB (arc) - m DA = 104° - 62° = 42°
m∠ADB (arc) = 360 - m∠DAB (arc) - m CB (arc) (Sum of angles around a circle or point)
∴ m∠ADB (arc) = 360 - 104 - 62 = 194°
m∠ADB (arc) = 194°
Angle ADB = subtended by arc AB = ∴1/2×arc AB
Angle ∠ADB = 42/2 = 21°.
Angle = 21°
<span>The answer is 6 m.
To arrive at this answer you solve the following equation: {let x = the original length of the garden)
(x+7)^2 = 169
x+7 = 13
x = 13-7
x = 6m</span>
Answer:
Correct choice is C
Step-by-step explanation:
Consider segment AB with endpoints A(-2,1) and B(4,3).
1. Rotation counterclockwise of 90° has a rule
(x,y)→(-y,x),
then
- A(-2,1)→C(-1,-2);
- B(4,3)→D(-3,4).
2. x-axis reflection has a rule
(x,y)→(x,-y),
then
- C(-1,-2)→E(-1,2);
- D(-3,4)→F(-3,-4).
3. Rotation counterclockwise of 270° has a rule
(x,y)→(y,-x),
then
- E(-1,2)→G(2,1);
- F(-3,-4)→H(-4,3).
4. y-axis reflection has a rule
(x,y)→(-x,y),
then
- G(2,1)→A(-2,1);
- H(-4,3)→B(4,3).