Answer:
x = 3
Step-by-step explanation:
We can solve this by using ratios of similar triangles
3 x
------ = ------------
3+9 12
3 x
------ = ------------
12 12
x must equal 3 to keep the ratios the same
Answer:
She will have 142 watermelons
Step-by-step explanation:
First let's put our ratio
10 : 71
Since our lemons are now 20 instead of 10 we will divide 20 by 10 to see how many time we multiplied it by.

which equals 2
To find our water melon we will multiply it by 2

which equals 142
She will have 142 watermelons
Answer : The value of x and y is 8 and 10 respectively.
Step-by-step explanation :
As we known that if two parallel lines are cut by a transversal line then consecutive interior angles are supplementary.
From the given figure we conclude that:
...........(1)

............(2)
...........(3)

...........(4)
Now we adding equation 2 and 4, we get the value of x.



Now we are putting the value of x in 4, we get the value of y.




Therefore, the value of x and y is 8 and 10 respectively.
Answer:
Option B m<ZA+m<ZB = 155° is correct option.
Step-by-step explanation:
We know that sum of angles of triangle is equal to 180°
And Isosceles triangle, 2 angles are same
So, let Angle 1 = x
Angle 2 = x
Angle 3 = 130°
Finding values of angle x
x+x+130=180
2x=180-130
2x=50
x=25
So, Angle 1 = 25 °
Angle 2 = 25°
As, angle B is greater than 90°, the sum of angles added must be greater than 90°
So, Option A, C and D can't be correct, as their sum is less than 90°
Option B m<ZA+m<ZB = 155° is correct option.
Verify:
m<ZA = 25° (as found earlier)
m<ZB = 130° (given)
So, m<ZA+m<ZB = 155°
25°+130° = 155°