Check the picture below
notice, using the 30-60-90 rule, since that triangle is a 30-60-90 triangle, we get 11 = 2x
Answer:
The value of x is
.
Step-by-step explanation:
Please look at the figure attached to get more clear solution.
We have given:
FG||CB
And the line that cut the parallel line is transversal so, here BA is transversal
And alternate interior angles on transverse line are equal
So, ∠1=∠4
And ∠4=
Hence, ∠1=∠4=
And On FG the sum of angles will be 
∠3+∠2+∠1=
+∠2+
=
Hence, ∠2=
Now, we know that the sum of interior angles is equal to the exterior angle:
Therefore, ∠2+∠5=∠6+∠7

On simplification we get:


Hence, the value of x is
.
Answer:
Ar = ¼√3 As
Step-by-step explanation:
Area of an equilateral triangle is:
Ar = ¼√3 s²
Area of a square is:
As = s²
Substituting:
Ar = ¼√3 As
The medium sized orange would have 62 calories. To divide by 1/5, which in decimal form is 0.2, you just multiply 310 by 0.2, therefore, giving you 62. Hope this helps!
Answer: There are 6 pieces of cloth are rectangles and 9 pieces of cloth are triangles.
Explanation:
Since we have given that
For every 5 pieces of cloth, 2 are rectangles
So, remaining piece will be of triangle so,

3 are triangles.
Ratio of rectangles to triangles is 2:3.
Now, she needs 15 pieces of cloth to complete her scarf,
So, Number of rectangles is needed is given by

Number of triangles is needed is given by

Hence, there are 6 pieces of cloth are rectangles and 9 pieces of cloth are triangles.