Answer: First option 13
Solution
If ABCD is a rhombus, the diagonals must be perpendicular, then the angle (5x+25)° must be a right angle (90°):
(5x+25)°=90°
5x+25=90
Solving for x: Subtracting 25 both sides of the equation:
5x+25-25=90-25
Subtracting:
5x=65
Dividing both sides of the equation by 5:
5x/5=65/5
Dividing:
x=13
Answer: The value of x must be 13
Answer:
perimeter = 44.05 yd
area = 164.25 yd^2
Step-by-step explanation:
The figure is shaped like a trapezoid with a semicircle.
Perimeter:
We add the lengths of the three sides of the trapezoid and the circumference of the semicircle.
perimeter = 15 + 11.2 + 10 + 0.5 * 3.14 * 5
perimeter = 44.05 yd
Area:
We find the area of the trapezoid and add to it the area of the half circle.
area = 0.5(10)(10 + 15) + 0.5(3.14)(5^2)
area = 164.25 yd^2
Answer:
Im pretty sure its irrational
Step-by-step explanation:
Answer:
Part A
= 9 flowers
Part B
= 5 flowers
Step-by-step explanation:
Emily has 59 flowers. She wants to put the flowers in 6 vases with the same number in each vase.
Part A: What is the greatest number of flowers she can put in each vase?
This is calculated as:
59 flowers ÷ 6 vases
= 9 5/6 flowers
Therefore, the greatest number of flowers she can put in each vase is 9 flowers
Part B: How many flowers will Emily have left over?
We have to calculate the number of flowers in the 6 vases above
= 9 flower × 6
= 54 flowers
Hence:
= 59 flowers - 54 flowers
= 5 flowers
Therefore, Emily would have 5 flowers left over.
