Answer:
m<MLK = 65°
Step-by-step explanation:
Measure of intercepted arc KM = 130°
<MLK is the inscribed angle of the intercepted arc.
Therefore, measure of inscribed angle = ½ the measure of its intercepted arc.
Thus:
m<MLK = ½(130)
m<MLK = 65°
Answer:
540
Step-by-step explanation:
No matter what the shape, the total amount of degrees in the interior angles in a pentagon is 540. Hope this helps!
Answer:
w = 10
Step-by-step explanation:
First we take the two values for the breadth of the rectangle
So:
5x - 9 = 3x + 7
now we solve this equation as follows:
5x - 3x = 9 + 7
2x = 16
x = 8
now that we have found the value for x, we can substitute it in the equation, 5x - 9,or in the equation, 3x + 7.
when we substitute x in any of these equations, we get
5(8) - 9 = 31
3(8) + 7 = 31
now that we have the value for the breadth we can form the following equation:
31 × w = 310
31w = 310
w = 310/31 = 10
Answer:
2.25 (or
) g/mL
<u>Skills needed: Density</u>
Step-by-step explanation:
1) Briefly, let's cover what density is:
- It is 
- Measures the mass per unit of volume
- In this situation the formula for density is: 
--->
is the final mass
--->
is the initial mass
--->
is the final volume
--->
is the initial volume
2) In this case, we start out with a mass of 180 grams as stated in the problem, and also 50 mL of water initially.
This means that:
-
is 180 g
-
is 50 mL
3) Also, we end up with 270 g in mass, and 90 mL of water finally.
-
is 270g
-
is 90 mL
4) We can find density by substitute given the values above:

5) Our answer is 2.25 g/mL (since mass is grams (g), and volume is milliliters (mL) in the problem above).
Answer:
sin O = 
Step-by-step explanation:
given tan O =
= 
Then this is a right triangle with legs 3 and 4
Using Pythagoras' identity then the hypotenuse (h ) is
h =
=
= 5, hence
sin O =
= 