m∡A = 70º
1) Considering that the Sum of the interior angles within a triangle is always 180º
2) We can write the following, and solve for x
x+80 + x +80 +40 = 180
2x +160 +40 = 180
2x + 200 = 180
2x =180-200
2x= -20
x=-10
3) So since angle A = x +80, we can plug it into that the value of x
m∡A = x +80º
m∡A=-10+80
m∡A = 70º
Answer:
The angle measures are 53.5° and 36.5°.
Step-by-step explanation:
We can create a systems of equations, assuming x and y are the angle measures.
Since the two angles are complementary, their angle measures will add up to 90.
x + y = 90
x - y = 17
We can now use the process of elimination, and end up with:
2x = 107
Dividing both sides by two gets us
x = 53.5
Substituting this value into an equation will get us y
53.5 + y = 90
y = 36.5
Hope this helped!
Answer:
sin 70° = cos (90° - 70°)
Step-by-step explanation:
You need to use the trigonometric ratios which states that:
sin α = cos (90° - α)
sin 70° = cos (90° - 70°)
sin 70° = cos 20°
Put formula of perimeter and simplify to get value of any variable ,
Then replace the value of that variable in formula of area and then simplify it .
Answer:
6750 - 3894 = 2856
Step-by-step explanation:
You have to make use of the arithmetic facts you know.
The least-significant asterisk must be 0, because the sum of 4 and 6 is 10.
The 10s asterisk must be 9,so that the sum 5 + 9 + 1 has a least-significant digit of 5.
The 100s asterisk must be 7, because that is the least-significant digit of the sum 8 + 8 + 1 = 17.
The 1000s asterisk must be 3, so that 2 + 3 + 1 = 6.
(The "1" in each of these sums is the carry from the sum of the digits with the next lower place value.)
So, the subtraction problem is ...
6750 - 3894 = 2856
_____
<em>Comment on the solution method</em>
For the most part, we worked this as an addition problem. The sum of the last two numbers must be equal to the first: 6570 = 3894 +2856. For some of us, addition facts are easier to work with than subtraction facts. The carry/borrow can be less confusing that way.