Okay lets start with "what is a kite?" A kite is a shape which has 4 sides of which 2 pairs of two sides are equal and the center angle is 90 degrees. So mark up your drawing with tick marks to show that segment DF and segment FG are equal (just put a little tick mark on those segments). Similarly segments DH and GH are equal so put two tick marks on them to show they are equal. Mark the center angle with a little square to show it is 90 degrees. Let me give you some hints on the answers. a. is given like you have b. is what you marked on your drawing and is the definition of a kite e. is definition of congruency or even substitution f. Reflexive property - remember it just says that something is congruent to itself. g. looks like the HL property h. you can say that because of CPCTC.
Answer:
Step-by-step explanation:
Solve this by using natural logs. Taking the natural log of both sides:

To undo the multiplication, we use addition:

The rule says we can now bring the exponent down in front of the ln:

Now we will subtract ln(7) from both sides:
(8x - 8)ln(16) = ln(3) - ln(7)
Now we will divide both sides by ln(16):
then add 8 to both sides:
which simplifies to
8x = 7.694401895 so
x = .9618002368 or, rounded,
x = .96
(Rest assured I did the math and checked the answer and it checked out perfectly!) I recommend you learn the laws of natural and common logs cuz they're kinda important!! :)
Answer:
x = 23
Step-by-step explanation:
5x - 9 and 2x + 60 are corresponding angles and are congruent , so
5x - 9 = 2x + 60 ( subtract 2x from both sides )
3x - 9 = 60 ( add 9 to both sides )
3x = 69 ( divide both sides by 3 )
x = 23