Answer: x=90° y=43°
Step-by-step explanation: Right away you may be able to tell that x is a right triangle, which is 90°. Now, look at the two small lines cutting through some of the triangle. That means the sides are congruent, and that the bottom two angles are the same. So if angle C is 47°, then so is D. A triangle has 180° in total. So since we already have 47° and 90°, subtract 47 and 90 from 180 to get angle y.
Answer:
6
Step-by-step explanation:
The given expression is,
Now, we know that,
Then,
So,
Now, taking 
common from the numerator of the given expression, then
So, the simplified form of the given expression gives the result 6.
Equivalent means equal to
If the length of JK is 16.4 miles, it will be diameter of this circle, the radius will be JK/2 = 8.2 miles
As we know the length of circle is 2π*r in this case r = 8.2
The arc JM is 1/4 length of the whole circle so arc JM = (2π*8.2)*(1/4) = 2π*8.2/4 = π*8.2/2 = π*4.1
if we assume that π=3.14 the answer will be 3.14 * 4.1 = 12.874.... And as the answer needs to be rounded to the nearest tenth it will be 12.874≈12.9
So the answer will be 12.9
12(2x - 8) = 15
12(2x) - 12(8) = 15
24x - 96 = 15
<u> + 96 + 96</u>
<u>24x</u> = <u>111</u>
24 24
x = 4.625
