Answer:
Measure of smallest angle will be 27 degrees.
Step-by-step explanation:
We are told that a triangular playground has angles with measures in the ratio 8:3:9 and we are asked to find out measure of smallest angle.
Since we know by the angle sum property that angles in a triangle add up to 180 degrees.
We can set an equation from our given ratio as:
Now we will find measure of our smallest angle by multiplying 3 by 9 as 3x will be smallest angle of our triangle.
Therefore, measure of the smallest angle will be 27 degrees.
<span>The lesser of two consecutive even integers is 10 more than one-half the greater. Find the integers.
1st: 2x
2nd: 2x+2
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EQUATION:
2x =(1/2)(2x+2)+10
2x = x + 11
x = 11
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1st: 2x = 22
2nd: 2x + 2 = 24
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2) The greater of two consecutive even integers is 6 less than the times the lesser
</span><span>3) Find four consecutive integers such that twice the sum of the two greater integers exceeds three times the first by 91.
1st: x
2nd: x+1
3rd: x+2
4th: x+3
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EQUATION:
2(x+2 + x+3) = 3x + 91
4x + 12 = 3x + 91
x = 79
x+1 = 80
etc.
======================
4) Find a set of four consecutive positive integers such that the greatest integer in the set is twice the least integer in the
I'll leave this to you.</span>
3 pm to 3 am is 12 hrs...so just add another hr and u get 4 am
Answer:
the answer is RS=x+5
if I am right mark it as brianliest
Answer:
one side = 
Step-by-step explanation:
if you draw an octagon on a piece of paper, you can draw a square around it, you should be able to see a diagram of this attached, ignore the 6.
Let's say TP = a
since it's a regular octagon, TP = HT
and using the Pythagoras Theorem, we know a² + b² = c² and thus:
√(AT² + HA²) = HT
and since AT = HA which we will call x, the equation becomes:
√(2x²) = HT = a
rearrange the equation to solve for x and you get:
2x² = a²
x² = 
x = 
which, if you rationalise the denominator, you get:
x =
