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Sonja [21]
3 years ago
12

In the given figure, angle APC =angle BQD. Prove that: AB //CD.​

Mathematics
1 answer:
aniked [119]3 years ago
3 0

1. <APC = <DQB [ Given]

2. Arc(AC = BD) [ Equal angles subtend equal arcs]

3. AB//CD [From 2]

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Find y for x= 1,2,3,and 4<br>y=2x     y=3x+1   y=x-5    y=-5x+6
Alenkasestr [34]
Like I said, just use the formulas
y=2x is 2,4,6,8
y=3x+1 is 4,7,10,13
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Answer:

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Step-by-step explanation:

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How do I solve for Log(x+3)+log2=3 ?
Rzqust [24]

Answer: x = 995

Step-by-step explanation:

In this equation our log doesn't have a base so it is given the default base of 10. This makes our equation really.

log_{10}(x+3) + log_{10}(2) = 3

Now we put every equation as the exponent of our base 10 looks like this:

10^{log_{10} (x+3)}  + 10^{log_{10} (2)} = 10^{3}

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The two sides marked 7 are congruent.

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marishachu [46]

Answer:

Step-by-step explanation:

The simple interest formula is P * r * t = I, where P is the initial investment, r is the interest rate in decimal form, t is the time in years.  This problem would be best solved by making a table, one row for account 1 and one row for account 2 with the formula along the top:

              P     *     r     *     t     =     I

acct 1

acct 2

First let's fill in our years.  The words "per year" were used, so the time in each row is a 1:

            P     *      r      *      t       =      I

acct 1                                 1

acct 2                                1

Now let's fill in the interest rates as decimals:

         P     *     r     *     t     =     I

acct 1            .04          1

acct 2           .05          1

Now for the principle amount.  If all we have to invest is 16000 and we put x into one account, then all we have left to put into the other account is what's left after taking x out of 16000, or 16000 - x.

                     P      *      r      *      t      =      I

acct 1             x           .04           1

acct 2   16000 - x       .05          1

The formula tells us that we multiply the P times the r times the t to get I, so lets do that.  Multiply straight across the top to get an interest of .04x.  Multiply straight across the bottom to get an interest of .05(16000 - x) which, after distributing, is 800 - .05x:

                 P      *      r      *      t      =      I

acct 1         x           .04            1      =    .04x

acct 2   16000-x    .05            1      =   800 - .05x

We need the amount of interest that we earn from both of these accounts to equal 700, so add the last column and set it equal to 700:

.04x + 800 - .05x = 700.  Combine like terms to get

-.01x = -100 so

x = 10,000

That means that the account which has an interest rate of 4% can have 10,000 in it while the other account has 6,000 in it.

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3 years ago
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