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3 years ago

A triangular table has angles with measures in the ratio 7:9:4. What is the measure of the smallest angle?

1 answer:

8 0

The angles must add to 180 degrees.
Since the angles are in the ratio 7:9:4, their measures are not 7, 9, and 4 since 7, 9, and 4 do not add to 180. If you multiply 7, 9, and 4 by the same number, the new numbers will be in the same ratio. Since we do not know what that number is, we can use x for it.

Multiply 7, 9, and 4 by x to get
7x, 9x, and 4x.
Now add them and set equal to 180.
Then solve for x.

7x + 9x + 4x = 180

20x = 180

x = 9

Now that we know x equals 9, substitute x with 9 and evaluate 7x, 9x, and 4x to find the actual angle measures.

7x = 7 * 9 = 63
9x = 9 * 9 = 81
4x = 4 * 9 = 36

The angles measure 63, 81, and 36 degrees.

You might be interested in

The distance from Jacksonville to Tampa is 171 miles. The distance from Tampa to Miami is 206 miles. Use the triangle inequality

Natali [406]

The triangle inequality theorem states that any side of a triangle is always shorter than the sum of the two other sides.
That means if you add up the distance from jacksonville to tampa and the distane from tampa to miami, the distance from jacksonville to miami must be less than that.

171 miles + 206 miles = 377 miles

the distance from jacksonville to miami must be less than 377 miles

3 0

3 years ago

Simplify by combining like terms on each side of the equation. State your new equation.

vladimir1956 [14]

6x + x + x - 5 - 2 = 8 + 2x + x

combine like terms

8x -7 = 8 +3x

subtract 3x from each side

5x -7 = 8

add 7 to each side

5x = 15

divide by 5

x=3

Answer: 8x -7 = 8 +3x

x=3

6 0

2 years ago

John borrowed $ from bank for 3 years at a rate of 10%

garik1379 [7]

<h3>Given:</h3>

P= $12500
R= 10%
T= 3 years

P= Principal amount
R= Rate of interest
T= Time period

The simple interest
The total amount paid

<h3>Solution:</h3>

$\large\boxed{Formula: I= \frac{PRT}{100}}$

First, we'll have to multiply, principal amount (12500), rate (10) and time period (3).

$12500×10×3$

$=375000$

Now, we'll have to divide the amount (375000) by 100.

$\frac{375000}{100}$

I=$3750

Now, we can find the total amount paid.

$\large\boxed{A=SI+P}$

Let's substitute according to the formula.

$A=3750+12500$

A=$16250

Therefore, simple interest is $3750 and $16250 was paid in total.

5 0

1 year ago

What is 825x92. (just practice for 25 points)

Leno4ka [110]

75900 is your answer.

6 0

3 years ago

Read 2 more answers

Select the equation that contains the point (4, -8), and in which the graph of the line has a positive slope.

BaLLatris [955]

Okay, let me just make this a little clearer. Hopefully, this is what you meant:

A. y - 8 = -4(x + 4)
B. y - 8 = 4(x + 4)
C. y + 8 = 4(x - 4)
D. y + 8 = -4(x - 4)

--

This can also be written as y2 - y1 = m(x2 - x1).

Your M is your slope.

Both A and D have their m as a negative 4. Because you are looking for a positive slope, immediately cancel those answers.

* note that you could have also put them in a more standard form and discovered m which is the x in bx.

Now, you are looking for an equation that contains (4,-8).

Because it is written as y2-y1, your y's are actually points if you were to find another slope or something. This part is a bit hard to explain, but -8 is only found in the y coordinate place in answer B. Your answer would be B. For more explanation on that, there's this great site called coolmath.com and if you search for finding the equation of two points, it explains it much better on there, but I would not want to plagiarize.

The answer is B.

5 0

2 years ago