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Alenkasestr [34]
3 years ago
5

The interior angles of a triangle have measures kº, 27°, and 10° What is the value of k?

Mathematics
1 answer:
S_A_V [24]3 years ago
4 0

Answer:

k = 143

Step-by-step explanation:

The sum of the 3 interior angles of a triangle = 180°, thus

k = 180 - (27 + 10) = 180 - 37 = 143

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You split $1500 between two savings accounts one pays 4%interest and the other pays 5% after one year you have earned $69.50 in
ANTONII [103]

Answer:

Step-by-step explanation:

Use the basic simple interest formula:

P * r * t = I and put the info into a table with those variables along the top, formig the columns we need:

                   P       *       r       *       t      =       I

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Acct 2

If we have a total of 1500 to split up between 2 accounts, we put x amount of money into one and then have 1500-x left to put into the other.  We will fill those in along with the interest rates in decimal form and the time of 1 year:

                   P        *        r        *        t        =        I

Acct 1           x               .04                1

Acct 2     1500-x          .05                 1

Looking at the formula we are told that Prt = I, so we will multiply P times r times t and fill in the I column:

                  P        *        r        *        t        -        I

Acct 1         x                 .04              1               .04x

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The total Interest earned by the addition of the interest earned from both accounts is 69.50.  So we add the interest column together and set it equal to 69.50:

.04x + .05(1500 - x) = 69.50 and

.04x + 75 - .05x = 69.50 and

-.01x = -5.5 so

x = 550

That's how much money is in the account earning 4% interest.

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3 years ago
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Geometry math question please help
Fed [463]

First you need to find the sum of all the interior angles using the formula (n-2)*180, where n is the number of sides.

There are 6 sides to this figure so the interior angles need to equal (6-2)*180 = 4*180 = 720.

Now add all the given angles together: 2x + 3x + 3x + 3x +3x +2x = 16x

Now we know 16X = 720

Find X by dividing both sides by 16:

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Now we know X, so to find E, replace X with 45 and multiply by 3:

3X = 3(45) = 135.

E = 135. The answer is D.

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