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3 years ago

2. The following triangle, ∆, has angle measures as shown.

Mathematics

1 answer:

klio [65]3 years ago

6 0

Answer:

x=29. Angle C= 93

Step-by-step explanation:

3(x+2)= 3x+6.

3x+6+52+35= 3x+93.

180-93=87.

87/3= 29. So that means x=29.

for proof you can do 3(29)+93 and you'll get 180.

For angle C; 3(29+2)= 3x31. 31x3= 93.

Angle C= 93 degrees.

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BabaBlast [244]

Answer:

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Step-by-step explanation:

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2 years ago

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A vendor at a street fair sells popcorn in cones, all of height 9 inches. The

Tatiana [17]

Answer:

The sharing cone holds about 9 times more popcorn than the skinny cone.

Step-by-step explanation:

The volume of a cone is given by the following formula:

$V = \frac{\pi r^{2}h}{3}$

In which r is the radius and h is the height.

Two cones:

Both have the same height.

The sharing-size cone has 3 times the radius of the skinny-size cone.

Skinny:

radius r, height h. So

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radius 3r, height h. So

$V_{sh} = \frac{\pi (3r)^{2}h}{3} = \frac{9\pi r^{2}h}{3} = 3\pi r^{2}h$

About how many times more popcorn does the sharing cone hold than the skinny cone?

$r = \frac{V_{sh}}{V_{sk}} = \frac{3\pi r^{2}h}{\frac{\pi r^{2}h}{3}} = \frac{3*3\pi r^{2}h}{\pi r^{2}h} = 9$

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3 0

3 years ago

You have a total of 45 dimes and quarters. You have 3 more quarters than dimes. Which system of equations can you use to find th

lina2011 [118]

Let's call dimes x and the quarters x+3 since we have 3 more of them.

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3 years ago

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Slope of -5 2). (3,9)

podryga [215]

Answer:

The slope of the given two points is $m=\frac{7}{8}$

Step-by-step explanation:

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Let $(x_{1},y_{1})$ and $(x_{2},y_{2})$ be the given points

By using Slope Formula:

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

$m=\frac{9-2}{3-(-5)}$

$m=\frac{9-2}{3+5}$ ( subtracting and adding the corresponding terms)

$m=\frac{7}{8}$

Therefore slope is $m=\frac{7}{8}$

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3 years ago

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alina1380 [7]

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2 years ago