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cricket20 [7]
3 years ago
15

A student used a compass and a straightedge to construct

title="\overline{CE}" alt="\overline{CE}" align="absmiddle" class="latex-formula"> in ABC. Which statement must always be true for this construction?(1) ∠CEA, ∠CEB(2) ∠ACE, ∠BCE(3) \overline{AE}, \overline{BE}(4) \overline{EC}, \overline{AC}

Mathematics
1 answer:
Luba_88 [7]3 years ago
7 0

Answer:

2) ∠ACE ≅ ∠BCE

Step-by-step explanation:

Considering the complete question attached in Figure below, geometry shows that ∠ACB is bisected into two angles ∠ACE and ∠BCE and we know that bisection means to divide an angle into two equal angles. According to this the resultant angles ∠ACE and ∠BCE must be equal and congruent.

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A3tx-A2b=cdx-2c

Step-by-step explanation:

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4 years ago
Assume that a company sold 5.75 million motorcycles and 3.5 million cars in the year 2010. The growth in the sale of motorcycles
OverLord2011 [107]

Answer:

Final answer is approx 6.644 years.

Step-by-step explanation:

Given that a company sold 5.75 million motorcycles and 3.5 million cars in the year 2010. The growth in the sale of motorcycles is 16% every year and that of cars is 25% every year.

So we can use growth formula:

A=P\left(1+r\right)^t

Then we get equation for motorcycles and cars as:

A=5.75\left(1+0.16\right)^t

A=3.5\left(1+0.25\right)^t

Now we need to find about when the sale of cars will be more than the sale of motorcycles. So we get:

3.5\left(1+0.25\right)^t>5.75\left(1+0.16\right)^t

3.5\left(1.25\right)^t>5.75\left(1.16\right)^t

3.5\left(1.25\right)^t>5.75\left(1.16\right)^t

\frac{\left(1.25\right)^t}{\left(1.16\right)^t}>\frac{5.75}{3.5}

\left(\frac{1.25}{1.16}\right)^t>1.64285714286

t\cdot\ln\left(\frac{1.25}{1.16}\right)>\ln\left(1.64285714286\right)

t>\frac{\ln\left(1.64285714286\right)}{\ln\left(\frac{1.25}{1.16}\right)}

t>6.6436473051

Hence final answer is approx 6.644 years.

7 0
3 years ago
Write an algebraic expression to model the unknown number problem.
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Answer:

A. You can replace ‘a number’ with a variable to represent an unknown value.

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D. The coefficient is 15.

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Step-by-step explanation:

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5 0
3 years ago
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