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3 years ago

If the measure of angle 2 is 3x, and the measure of 1 is 5x - 12 what is the measure of angle 9 ?

Mathematics

1 answer:

Mariana [72]3 years ago

8 0

3x+5x-12=180
8x=180+12
8x=192
x=192/8
x=24

angle 1 = 5x-12
=5(24)-12
=120-12
=108

angle 2= 3x =3*24=72

angle 1 = angle 9
angle 9= 108

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erica [24]

$\frac{1}{6} + \frac{1}{12}$

We know that:

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So,

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3 years ago

The battery standby duration (in hours) of a new model of cell phone is known to be normally distributed. Ten pieces of such new

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x = number of hours

want to find probability (P) x >= 13

x is N(14,1) transform to N(0,1) using z = (x - mean) / standard deviation so can look up probability using standard normal probability table.

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To convert that to percentage, multiply 100, to get 84.13%

3 0

3 years ago

What percent of 11 is 11?

jarptica [38.1K]

Answer:

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Step-by-step explanation:

7 0

3 years ago

A florist arranges 4 flower arrangements in 92 minutes.

Black_prince [1.1K]

Answer:

$\boxed {\boxed {\sf 9 \ arrangements }}$

Step-by-step explanation:

Let's set up a proportion using the following setup:

$\frac{arrangements}{minutes} =\frac{arrangements}{minutes}$

We know that the florist can arrange 4 in 92 minutes.

$\frac{4 \ arrangements}{92 \ minutes} = \frac{arrangements}{minutes}$

We don't know how many the florist can arrange in 207 minutes, so we say x arrangements can be completed in 207 minutes.

$\frac{4 \ arrangements}{92 \ minutes} = \frac{ x \ arrangements}{ 207 \ minutes}$

$\frac{4}{92} =\frac{x}{207}$

Solve for x by isolating it on one side of the proportion.

x is being divided by 207. The inverse of division is multiplication. Multiply both sides of the proportion by 207.

$207*\frac{4}{92}=\frac{x}{207}*207$

$207*\frac{4}{92}=x$

$207*0.0434782609=x$

$9=x$

The florist can arrange <u>9 arrangements</u> in 207 minutes.

5 0

3 years ago

X+3/2=6 linear equations

Gre4nikov [31]

Answer:

x=9

Step-by-step explanation:

Multiply both sides by 2.

x+3= 12

Subtract both sides by 3.

x=12-3

x=9

4 0

3 years ago