16 different combinations. There are 8 sections on the spinner and 2 sides on a coin. 8 combinations for heads and 8 for tails, which equals 16.
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Answer:
x = 2 and y = 3
Step-by-step explanation:
For us to have a parallelogram, the opposite sides must be equal in length
Thus, we have it that;
2y + 2 = y + 5
2y - y = 5-2
y = 3
To get the value of x
y + 4 = 2x + 3
Recall y = 3: substitute this value
3 + 4 = 2x + 3
3+ 4 - 3 = 2x
2x = 4
x = 4/2
x = 2
By solving a linear equation we will see that the value of x is 10.
<h3>
</h3><h3>How to find the value of x?</h3>
Remember that for any triangle, the sum of all internal angles is always equal to 180°.
Here only look at triangle BCD, we know that:
m∠DBC = m∠ABC = 3x
m∠BCD = m∠ACB + m∠ABD = 2x + 65°
m∠ADC = 65°
Now we can write the linear equation as:
3x + 2x + 65° + 65° = 180°
5x + 130° = 180°
5x = 180° - 130°
5x = 50°
x = 50°/5 = 10°
The value of x is 10.
Learn more about triangles:
brainly.com/question/14285697
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You can make a start by putting together an expression for the sum of the even integers between 1 and k inclusive.
Let S be the sum of the even integers between 1 and k inclusive.
Then:
<span><span>S=2+4+6+⋯+(k−2)+k</span></span>
As k is even, you can say r = 2k and so:
<span><span>S=2(1+2+3+⋯+(r−1)+r)</span></span>
<span>Now the sum of the first </span><span>r</span><span> numbers is well-known, it's the </span><span>r</span>th triangle number and we have:
<span><span>1+2+3+⋯+(r−1)+r=<span><span>r(r+1)/</span>2</span></span></span>
<span>Now we can keep it simple and say </span><span><span>2k=4r </span></span><span>and so:</span>
<span><span>S=2(1+2+3+⋯+(r−1)+r)=4r=2<span><span>r(r+1)</span>2</span>=r(r+1)</span></span>
<span>So you can build a quadratic in </span><span>r</span><span> and so get </span><span>k.</span>
