Answer:
x = 50
Step-by-step explanation:
The sum of the measures of the interior angles of a polygon of n sides is
(n - 2)180
This polygon is a quadrilateral with 4 sides. n = 4
(n - 2)180 = (4 - 2)180 = 2(180) = 360
The sum of the measures of the interior angles of the quadrilateral is 360 degrees.
We have angles of 110 deg, 2x deg, x + 10 deg, and 90 deg. We add their measures and set teh sum equal to 360. Then we solve for x.
x + 10 + 2x + 110 + 90 = 360
3x + 210 = 360
3x = 150
x = 50
Answer:
6.25716517287
Step-by-step explanation:
Area of circle = π × r²
→ 123 = π × r²
⇒ Divide both sides by π
→ 39.1521160006 = r²
⇒ Square root both sides
→ 6.25716517287 = r
Answer:
22ft
Step-by-step explanation:
Length or ribbon = Circumference of the circle
C = 2πr
C = 2π(3.5)
C = 21.99
Answer: 6 batches
Step-by-step explanation:
From the question, we are informed that one batch of cookies requires 2⁄3 cup of flour.
Therefore, the number of batches that can be made with 4 cups of flour will be:
= 4 / 2/3
= 4 × 3/2
= 12/2
= 6 batches
