Answer:
(A)
Step-by-step explanation:
From the diagram attached:
Angle 1 and Angle 6 are Co-Interior Angles.
The sum of co-interior angle is 180 degrees.
Therefore:

The measure of angle 1 is therefore 56.5 degrees.
The correct option is A.
Since the area of a square is equal to the square of one of its side's length, then the area should be equivalent to

.

---> equation (1)
By using pythagoras rule which states that the

---> equation (2)
where the opposite side's length is 8 and the hypotenuse side's length is 10
by substituting by the values in equation (2) therefore,

substitute this value in equation (1) then

where A is the area of the square whose side is x
7 batches of cookies 14 x 7=98 whereas sandy needs 12 x 8=96 ,so 7 batches would be perfect
Answer:
24 cm
Step-by-step explanation:
Given: Picture of the star is made up of 4 unshaded equilateral triangles of equal area and a shaded square.
Area of the shaded region (square) = 
To find: the perimeter of the star
Solution:
Area of the shaded region (square) = 
Area of square = 

As each equilateral triangle has side lengths that are the same as the side length of the square,
length of side of the star = 3 cm
Perimeter is the sum of lengths of the sides.
Perimeter of star = sum of 8 sides of the star
= 8 × 3 = 24 cm
Answer:
<u>Mika estimated the sum to be 216; the actual sum is 216.27.</u>
Step-by-step explanation:
Let's find the rounded sum and the actual sum, as follows:
Rounding each number to the nearest whole:
189.27 ⇒ 189
15.8 ⇒ 16
11.2 ⇒ 11
Sum = 189 + 16 + 11
Sum = 216
Actual sum:
Actual sum = 189.27 + 15.8 + 11.2
Actual sum = 216.27
<u>Mika estimated the sum to be 216; the actual sum is 216.27.</u>