Answer:
Yellow: 50
Red: 25
Step-by-step explanation:
5:10
5 times 5 = 25
10 times 5 = 50
Applying parallel line postulate twice
36degree=3x degree +2y degree
126 degrees=12 x degree + 2y degree
So, the two equations are:
3x + 2y = 36
and
12x + 2y = 126
Eliminate x to solve for y
-(3x + 2y)= -(36)
-3x - 2y = -36
Combine the equations
(-3x - 2y)+ (12x + 2y) = (-36) + (126)
-3x -2y + 12x + 2y = -36 + 126
9x = 90
x = 10
Plug value of x back into to the equations to solve for y
3(10) + 2y = 36
30 + 2y = 36
2y =6
y = 3
Optional
Plug x into the other equation to check for error
12(10) +2y = 126
120 + 2y =126
2y = 6
y = 3
The least and highest value of the house before being rounded are £184999 and £175000 respectively.
The initial value of Sue's house before the increase is £205,000
£180,000 correct to 2 significant figures :
The greatest value of the house would be a sum in which the third significant figure is a value less than 5 and the succeeding values are highest
The least value of house would be a sum in which the third significant value is 5 and the succeeding values are lowest.
2.)
Let the price before the increase = p
- Price after increase = £219350
7% of p = 219350
(1+7%) × p = 219350
1.07p = 219350
p = 219350 / 1.07
p = £205,000
Therefore, the price of the house before the increase is p = £205,000
Learn more : brainly.com/question/25338987
Answer:
1. B) 5.7
2. A) 12
3. A) 11.4
4. A) 5.7
5. A) 16.2
6. A) 11.2
7. No, they do not form a right triangle
8. Yes, they do form a right triangle
Step-by-step explanation:
Extra tip: The hypotenuse has to be less than both sides added together, but cannot be more than either of the sides alone.
1.
16² + b² = 17²
256 + b² = 289
256 - 256 + b² = 289 - 256
b² = 33
√b² = √33
b = 5.74 or 5.7
2.
16² + b² = 20²
256 + b² = 400
256 - 256 + b² = 400 - 256
b² = 144
√b² = √144
b = 12
3.
7² + 9² = c²
49 + 81 = c²
130 = c²
√130 = √c²
11.40 or 11.4 = c
4.
7² + b² = 9²
49 + b² = 81
49 - 49 + b² = 81 - 49
b² = 32
√b² = √32
b = 5.65 or 5.7
5.
a² + 5² = 17²
a² + 25 = 289
a² + 25 - 25 = 289 - 25
a² = 264
√a² = √264
a = 16.24 or 16.2
6.
10² + b² = 15²
100 + b² = 225
100 - 100 + b² = 225 - 100
b² = 125
√b² = √125
b = 11.18 or 11.2
7.
15² + 8² = 16²
225 + 64 = 256
289 ≠ 256
8.
5² + 12² = 13²
25 + 144 = 169
169 = 169
Answer:
x= -2, y = -2
Step-by-step explanation:
Solve the following system:
{2 y - 4 x = 4 | (equation 1)
{4 x - y = -6 | (equation 2)
Add equation 1 to equation 2:
{-(4 x) + 2 y = 4 | (equation 1)
{0 x+y = -2 | (equation 2)
Divide equation 1 by 2:
{-(2 x) + y = 2 | (equation 1)
{0 x+y = -2 | (equation 2)
Subtract equation 2 from equation 1:
{-(2 x)+0 y = 4 | (equation 1)
{0 x+y = -2 | (equation 2)
Divide equation 1 by -2:
{x+0 y = -2 | (equation 1)
{0 x+y = -2 | (equation 2)
Collect results:
Answer: {x = -2
, y = -2
