Answer:
57°
Step-by-step explanation:
We can see that LOM is MON + LON so we can set up an equation to find the value of x then substitute that back into MON to find the value of that angle.
→ In equations its important to keep both sides equal and do operations to both sides and not one because then if you do an operation to only one side then you have changed the equation so it's important to do operations on both sides and that's an important rule to bare in mind.
2x + 33 + 3x + 20 = 113
→ Simplify
5x + 53 = 113
→ Minus 53 from both sides to isolate 5x
5x = 60
→ Divide both sides by 5 to isolate x
x = 12
But we are not finished, we have only found the value of x not the value of MON as we were asked so we have to substitute x back into the expression to find the value of MON
2x + 33
→ Substitute x = 12 back into the expression
2 × 12 + 33
→ Simplify
24 + 33 = 57
The value of MON is 57°
79. Is 52 800 centimeters greater than 1 kilometer?
According to the unit of conversion in every 1 kilometer, there is a total of 100 000 centimeters.
Now, the given value of centimeters is equals to 52 800
=> 1 km = 100 000 cm
=> 52 800 cm is less than the value of 100 000 cm which is equivalent to 1 km.
Thus, the given is not correct. 52 800 cm is less than 1 kilometer.
Answer:
the 3rd one
Step-by-step explanation:
you just have to solve each of the problems\
hope this helps
-mercury
Answer:
X=48
Step-by-step explanation:
x^2+y^2=z^2
but in this case it's z^2-y^2=x^2
so 73^2= 5329
and 55^2=3025
5329-3025=2304
Square Root of 2304 is 48, meaning X=48
Hope this helps!
Answer:
Step-by-step explanation:
Use the Pythagorean theorem to find the length of the missing side that is 1/2 the side of the missing heptagon. You have to assume that the figure is a regular heptagon, something you should point out to your teacher. Math really requires well qualified diagrams.
c^2 = a^2 + b^2
c = 2.77
a = 2.5
b = 1/2 the side of the heptagon.
2.77^2 = 2.5^2 + b^2
7.6729 =6.25 + b^2
7.5629 - 6.25 = b^2
b^2 = 1.4229
b = sqrt(1.4229)
b = 1.1928
But the side is twice that long
s = 2.3857
Now draw another line from the side you just found. It will be the same length as 2.77. It's a radius of the circumcircle.
Area of the triangle so formed is
Area = 1/2 * b * h
b = 2.3857
h = 2.5
Area = 1/2 * 2.5 * 2.3857
Area = 2.982
There are 7 such triangles.
Answer: 7 * 2.982
Answer: 20.87
