Answer: 66 degrees
Explanation:
Check out the attached image below. Figure 1 is the original image without any additions or alterations. Then in figure 2, I extend segment BC to form a line going infinitely in both directions. This line crosses segment DE at point F as shown in the second figure.
Note how angles ABC and DFC are alternate interior angles. Because AB is parallel to DE (given by the arrow markers) this means angle DFC is also 24 degrees
Focus on triangle DFC. This is a right triangle. The 90 degree angle is at C.
So we know that the acute angles x and 24 are complementary. They add to 90. Solve for x
x+24 = 90
x+24-24 = 90-24
x = 66
That is why angle CDE is 66 degrees
Answer:
145
Step-by-step explanation:
x = 2 , y= 5
Putting the values of x and y in the expression
=3(2) (5)^2-5
=3(2)(25)-5
=150 -5
=145
5 and 2/10 converted into decimal notation would be, 5.2
Answer:
<em>The cost price of each mango was $3</em>
Step-by-step explanation:
The man bought 500 mangoes, but 1/4 of them were rotten. There were 1/4*500 = 125 rotten mangoes, thus the number of mangoes he sold is
500 - 125 = 375 mangoes
Selling them at $3.36 each, he had revenue of
375*3.36=$1,260
That amount includes the 12% profit, that is, it's 112% of the cost price, thus the cost price of all mangoes is
1,260 / 112 * 100 = $1,125
The price of each mango was $1,125 / 375 = $3
The cost price of each mango was $3
The tortoise took 122.5 meters per minutes to walk in the desserts.
