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Ad libitum [116K]

3 years ago

14

in abc the measure of angle a is 2x+3, the measure of b is 4x+2, the measure of c is 2x-1. What are the measures of the angles?

1 answer:

Mama L [17]3 years ago

5 0

The measures of the angles in a triangle add up to 180°.
$2x+3+4x+2+2x-1=180 \\
8x+4=180 \ \ \ |-4 \\
8x=176 \ \ \ |\div 8 \\
x=22 \\ \\
2x+3=2 \times 22+3=44+3=47 \\
4x+2=4 \times 22+2=88+2=90 \\
2x-1=2 \times 22-1=44-1=43$

The measures of the angles are 43°, 47° and 90°.

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erik [133]

We have to find the mass of the gold bar.

We have gold bar in the shape of a rectangular prism.

The length, width, and the height of the gold bar is 18.00 centimeters, 9.21 centimeters, and 4.45 centimeters respectively.

First of all we will find the volume of the gold bar which is given by the volume of rectangular prism:

Volume of the gold bar $= length \times width\times height$

Plugging the values in the equation we get,

Volume of the gold bar $=18.00 \times 9.21 \times 4.45= 737.721cm^3$

Now that we have the volume we can find the mass by using the formula,

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The density of the gold is 19.32 grams per cubic centimeter. Plugging in the values of density and volume we get:

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Find the length of AB when A(-4,1) and B(3,-1). Round to the nearest tenth (one decimal place) if necessary.

ivanzaharov [21]

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3 years ago

For a circle with a radius of 15 cm, what is the length of an arc intercepted by an angle measuring 120°?

slega [8]

Answer: 31.43 cm

Step-by-step explanation:

The length of an arc is calculated using the formula:

$\frac{theta}{360}$ X 2 $\pi$ r

where : theta is the angle in degree

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L = r∅

Since , the angle is given in degree , we will use the first formula.

L = $\frac{theta}{360}$ X 2 $\pi$ r

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Alenkasestr [34]

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3 years ago