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GalinKa [24]
3 years ago
12

In this picture B and F are midpoints.

Mathematics
1 answer:
Pavlova-9 [17]3 years ago
3 0

now, we know that B and F are midpoints, namely BF is a midsegment of the triangle, and therefore BF || AE, so, the base AE is twice BF.


\bf 2BF=AE\implies 2(23)=5x-4\implies 46=5x-4\implies 50=5x \\\\\\ \cfrac{50}{5}=x\implies \boxed{10=x}

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PLEASE HELP ME I CAN'T GET THIS WRONG, I KNOW ITS NOT #4
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Solve for x, 0 ≤ x ≤2π (2cosx-1)(2sinx+√3 ) = 0
vladimir1956 [14]

Answer:

x = π/3, x = 5π/3, x = 4π/3

Step-by-step explanation:

Let's split the given equation (2cosx-1)(2sinx+√3 ) = 0 into two parts, and solve each separately. These parts would be 2cos(x) - 1 = 0, and 2sin(x) + √3  = 0.

2\cos \left(x\right)-1=0,\\2\cos \left(x\right)=1,\\\cos \left(x\right)=\frac{1}{2}

Remember that the general solutions for cos(x) = 1/2 are x = π/3 + 2πn and x = 5π/3 + 2πn. In this case we are given the interval 0 ≤ x ≤2π, and therefore x = π/3, and x = 5π/3.

Similarly:

\:2\sin \left(x\right)+\sqrt{3}=0,\\2\sin \left(x\right)=-\sqrt{3},\\\sin \left(x\right)=-\frac{\sqrt{3}}{2}

The general solutions for sin(x) = - √3/2 are x = 4π/3 + 2πn and x = 5π/3 + 2πn. Therefore x = 4π/3 and x = 5π/3 in this case.

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5 0
3 years ago
Item 16
Lady bird [3.3K]
First answer is right
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3 years ago
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elena-14-01-66 [18.8K]

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Step-by-step explanation:

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42 ➗ 40

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4 0
3 years ago
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