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3 years ago

Three interior angles of a quadrilateral have measures of 111°, 134°, and 69º. Whats the fourth angle measure?

Mathematics

2 answers:

steposvetlana [31]3 years ago

7 0

Answer:

Step-by-step explanation:

sum of for angles of a quadrilateral=360

111+134+69+x=360

314+x=360

x=360-314=46

fourth angle=46°

Anton [14]3 years ago

3 0

All angles of a quadrilateral add up to 360 degrees, so 111+134+69+x=360

Solving it we get:

314+x=360
x=46 degrees.

I hope this helps!

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What is the volume of this right rectangular prism. 7 feet length 2 feet width and 3.5 feet Height

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2 years ago

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3 years ago

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2 years ago

Solve 3x + 2 = 15 for x using the change of base formula log base b of y equals log y over log b. −1.594 0.465 2.406 4.465

disa [49]

<u>Answer:</u>

The value in 3x + 2 = 15 for x using the change of base formula is 0.465 approximately and second option is correct one.

<u>Solution:</u>

Given, expression is $3^{(x+2)}=15$

We have to solve the above expression using change of base formula which is given as

$\log _{b} a=\frac{\log a}{\log b}$

Now, let us first apply logarithm for the given expression.

Then given expression turns into as, $x+2=\log _{3} 15$

By using change of base formula,

$x+2=\frac{\log _{10} 15}{\log _{10} 3}$

x + 2 = 2.4649

x = 2.4649 – 2 = 0.4649

Hence, the value of x is 0.465 approximately and second option is correct one.

3 0

3 years ago

Read 2 more answers

. Curt is installing a picket fence around his garden which is 45.45 ft by 14.63 ft. When he gets to the hardware store he finds

Dmitriy789 [7]

The fence must have two sides of length 45.45 ft and two sides of length 14.63

To cover each of 45.45 ft long side, he will need 45.45 / 2 = 22.7 slats which approximates to 23. So, they are 2 * 23 = 46 slats.

To cover each of 14.63 ft sides, he will need 14.63 / 2 = 7.3 which approximates to 8 (to not leave any spaces between each slat). So, they are 2 * 8 = 16 slats.

That makes 46 + 16 = 62 slats.

Answer: around 62 slats.

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3 years ago