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AnnZ [28]
2 years ago
11

Franklin measured and labeled the angles of a triangle as shown. Jennifer says that at least one of his measures is incorrect. E

xplain in at least two different ways how Jennifer knows that this is true

Mathematics
1 answer:
sertanlavr [38]2 years ago
7 0

Explanation 1:

Jennifer knows that at least one of Franklin's measures of the angles of the triangle is incorrect because the sum of the inner angles of a triangle is equal to 180°.

When you add the shown measures you get:

  • 37° + 97° + 134° =  268° ≠ 180°, which makes this an impossible triangle.

Explanation 2:

Jennifer also can know that either the measure 97° or 134° (or even both) is incorrect.

This is so because the addition of those two measures is

  • 97° + 134° = 231°

Since 231° > 180° those measures cannot be correct because the sum  of two angles of an triangle has to be less than 180°, given that when they are summed to the other angle the sum has to be 180°.

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borishaifa [10]

Answer:

1.) Tan C = \frac{12}{5}

2.) Sin Z = \frac{24}{26} or \frac{12}{13} if reduced

3.) Cos A = \frac{15}{17}

4.) Cos A = \frac{12}{37}

Step-by-step explanation:

Let's keep in mind that;

Sin = \frac{opposite}{hypotenuse}

Cos = \frac{adjacent}{hypotenuse}

Tan = \frac{opposite}{adjacent}

Hope this helps!

5 0
2 years ago
Solve the equations for all values of x by completing the square x^2+62=-16x
lorasvet [3.4K]

Answer:

x =  \sqrt{2} - 8\\x =  -\sqrt{2} - 8

Step-by-step explanation:

To complete the square, we first have to get our equation into ax^2 + bx = c form.

First we add 16x to both sides:

x^2 + 16x + 62 = 0

And now we subtract 62 from both sides.

x^2 + 16x = -62

We now have to add (\frac{b}{2})^2 to both sides of the equation. b is 16, so this value becomes (16\div2)^2 = 8^2 = 64.

x^2 + 16x + 64 = -62+64

We can now write the left side of the equation as a perfect square. We know that x+8 will be the solution because 8\cdot8=64 and 8+8=16.

(x+8)^2 = -62 + 64

We can now take the square root of both sides.

x+8 = \sqrt{-62+64}\\\\ x+8 = \pm \sqrt{2}

We can now isolate x on one side by subtracting 8 from both sides.

x = \pm\sqrt{2} - 8

So our solutions are

x =  \sqrt{2} - 8\\x =  -\sqrt{2} - 8

Hope this helped!

4 0
3 years ago
Write this number in expanded form 382,706
77julia77 [94]

Answer:

Expanded form : 300,000 +80,000 +2000 +700 +6.

Step-by-step explanation:

Given  : 382,706.

To find : Write this number in expanded form.

Solution : We have given  382,706.

We can  see 3 is at hundred thousand place = 300,000

8 is at ten thousand place = 80,000.

2 is at thousand place  = 2000.

7 is at hundred place  = 700.

6 is at ones place = 6

Then

Expanded form : 300,000 +80,000 +2000 +700 +6.

Therefore, Expanded form : 300,000 +80,000 +2000 +700 +6.

5 0
3 years ago
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Ms. Carr's Class Is Selling Magazines To Raise Money For A Field Trip. The Students In The Class Device They Wanted To Make 5.50
FinnZ [79.3K]

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Now if they are only making the count of "Field trip costs X amount of money, and given we have to make a profit of $5.5, How many must we sell?" then the equation should be n=X/5.5 

Should the story be, how much money must they raise to have a profit of 5.5 on each magazine and still have enough for the field trip, then you have a different equation which varies only in adding the cost of each magazine, either case, M should be defined not as money they need to raise (cause here they will be short on their goal) but Money they must earn. And again, you should rewrite your equation to be: 

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C+p=M/n 

And rewriting the previous they should make: 

n(C+p)=M -----> n(C+5.5)=M <span>m/n = 5.50 </span>
<span>m/n x n = 5.50 x n //// multiply each side by n </span>

<span>m = 5.5n</span>
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Answer:

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Step-by-step explanation:

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