If we want to find ∠XYZ, we have to find the measurement of ∠VUW.
If we want to find ∠VUW, we have to solve for x.
We know that ∠VUW and ∠VUT add up to 90°, so we can do the following...
(6x - 1) + (3x - 8) = 90
Combine like terms...
9x - 9 = 90
Solve for x.
9x = 99
x = 11
Now we have to plug in 11 for x in the equation 3x - 8 to solve for ∠VUW.
3(11) - 8 = ∠VUW = ∠XYZ = 25°
Solution:
We have re-drawn the given diagram, as we can see the given rectangle is actually divided into two parts.
one is Large square and the other one is a smaller rectangle.
Now we will apply the Pythagoras theorem in the larger triangle which is inside the square.
So we can write
Now we will apply the Pythagoras theorem in the smaller triangle which is inside the smaller rectangle.
So we can write
The approximate sum of the lengths of the two sidewalks, shown as dotted lines
m
Hence the correct option is D
Answer:
68.25
Step-by-step explanation:
68.25 is your answer :)
Answer:
Perimeter of the final star = 40 cm²
Step-by-step Explanation:
The perimeter of the six-pointed star is the sum of the sides of the 6 equilateral triangles that form a boundary around the star.
1 triangular tiles gas a perimeter of 10cm.
Only 2 out of the 3 equal sides of each of the 6 equilateral triangles form the boundary of the final star.
Therefore, perimeter of the final star = ⅔ of the total perimeter of 6 triangular tiles
= ⅔ of (10*6)
= ⅔*60
= 2*20
Perimeter of the final star = 40 cm²
3-7= -4
2×-4= -2
I think i did that right...
