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3 years ago

Help! The measure of the exterior angle of the triangle is???

Mathematics

1 answer:

just olya [345]3 years ago

5 0

Answer:

92°

Step-by-step explanation:

The exterior angle is equal to the sum of the 2 opposite interior angles, that is

2x - 2 = x + 45 ( subtract x from both sides )

x - 2 = 45 ( add 2 to both sides )

x = 47

Then

exterior angle = 2x - 2 = 2(47) - 2 = 94 - 2 = 92°

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The tempeture of chicken soup is 192.7 degrees F. As it cools the tempeture of the soup decreases 2.3F per minute.

IrinaK [193]

Answer:

Step-by-step explanation:

To find the answer to Part A, we can turn this into a simple equation:

192.7 - (2.3 times 25) = <em>temperature, </em>the missing value.

So therefore, after 25 minutes pass, the temperature is equal to

192.7 - 57.5, or:

135.2 = Answer to Part A.

Now, onto Part B. We can use <u>another</u> equation!

192.7 - 2.3x = 100.7

Now, we must solve the given equation, first by taking 100.7 from each side:

192.7 - 2.3x = 100.7

-100.7 -100.7

We are now left with: 92 - 2.3x = 0 - we must now add 2.3x to 2.3x and 0, giving us this:

92 = 2.3x, which is equivalent to 920 = 23x, if that is what you prefer to solve.

To give us our missing value (x), we can divide 920 by 23, giving us: x = 40. This is the answer to Part B: 40 minutes.

I hope this was really helpful! Tell me if you need any more help.

6 0

2 years ago

The point A,B,C and D represent the complex number Z1,Z2,Z3 and Z4 and O is the origin. If OABC is a parallelogram, and Z1=1+3i

aleksley [76]

Complex numbers are divided into two parts; real and imaginary parts. The value of Z3 is $5+ 8i$

Given that:

$Z_1 = 1 + 3i$

$Z_2 = 4 + 5i$

Since O is the origin, then:

$C = OA + OB$

This means that:

$Z_3 = Z_1 + Z_2$

So, we have:

$Z_3 = 1 + 3i + 4 + 5i$

Collect like terms

$Z_3 = 1 + 4+ 3i + 5i$

$Z_3 = 5+ 8i$

Hence, complex number Z3 is $5+ 8i$

Read more about complex numbers at:

brainly.com/question/18509723

8 0

3 years ago

Hey Guys! I need some help. This is the question... Sara travels often for her job. The miles she traveled for the last seven wo

Schach [20]

Using the median concept, it is found that the interquartile range of Sara's daily miles is of 21 miles.

<h3>What are the median and the quartiles of a data-set?</h3>

The median of the data-set separates the bottom half from the upper half, that is, it is the 50th percentile.

The first quartile is the median of the first half of the data-set.

The third quartile is the median of the second half of the data-set.

The interquartile range is the difference of the quartiles.

The ordered data-set is given as follows:

65, 72, 86, 88, 91, 93, 97

There are 7 elements, hence the median is the 4th element, of 88. Then:

The first half is 65, 72, 86.

The second half is 91, 93, 97.

Since the quartiles are the medians of each half, the have that:

The first quartile is of 72 miles.

The third quartile is of 93 miles.

The interquartile range is of 93 - 72 = 21 miles.

More can be learned about the median of a data-set at brainly.com/question/3876456

#SPJ1

4 0

2 years ago

In order to graduate from Ohio, you need to earn 3 points on an Algebra EOC or score remediation

White raven [17]

so the picture is not loading....

3 0

3 years ago

What is the slope of the line joining (8,8) and (12, 6)?

Anna71 [15]

Answer:

$\huge \boxed{ \boxed{ - \frac{1}{2} }}$

Step-by-step explanation:

The slope of a line given two points can be found by using the formula

$m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\$

From the question we have

$m = \frac{6 - 8}{12 - 8} = - \frac{2}{4} = - \frac{1}{2} \\$

We have the final answer as

$- \frac{1}{2} \\$

Hope this helps you

6 0

3 years ago