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3 years ago

Find the measure of the exterior angle 1.

Mathematics

2 answers:

Illusion [34]3 years ago

7 0

Answer:

The sum of exterior angles in a polygon is always equal to 360 degrees. Therefore, for all equiangular polygons, the measure of one exterior angle is equal to 360 divided by the number of sides in the polygon. an exterior angle.

<h3>hope it's help you </h3><h3>plz mark as brain list .....!!!!!!!!!!</h3>

Mashutka [201]3 years ago

7 0

The sum of all exterior angles adds upto = 360°

Exterior angle = 360/n

Where n is the number sides in the polygon

Must click thanks and mark brainliest

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Write a quadratic function, in standard form, that fits the set of points. Solve it as a system of three equations. (-4, 9), (0,

Tresset [83]

Answer:

$\boxed{y=2x^2+4x-7}$

Step-by-step explanation:

Let the quadratic function be

$y=ax^2+bx+c$

We substitute $(-4,9)$ into the equation to obtain;

$9=a(-4)^2+b(-4)+c$

$\Rightarrow 9=16a-4b+c---(1)$

We substitute $(0,-7)$ to obtain;

$-7=a(0)^2+b(0)^2+c$

$\Rightarrow c=-7---(2)$

We finally substitute $(1,-1)$ to obtain;

$-1=a(1)^2+b(1)^2+c$

$\Rightarrow -1=a+b+c---(3)$

We put equation (2) into equation (1) to get;

$9=16a-4b-7$

$16a-4b=16$

$\Rightarrow 4a-b=4---(4)$

$\Rightarrow -1=a+b-7$

$\Rightarrow a+b=6---(5)$

We add equation (4) and (5) to get;

$4a+a=6+4$

$\Rightarrow 5a=10$

$\Rightarrow a=2$

We put $a=2$ into equation (5) to get;

$2+b=6$

$\Rightarrow b=6-2$

$\Rightarrow b=4$

The reqiured quadratic function is

$y=2x^2+4x-7$

7 0

2 years ago

5/8(x-1/3)=5/12 can someone help me figure out what x is?

eimsori [14]

Solve for x:(5 (x - 1/3))/(8) = 5/12
Put each term in x - 1/3 over the common denominator 3: x - 1/3 = (3 x)/3 - 1/3:(5 (3 x)/3 - 1/3)/(8) = 5/12
(3 x)/3 - 1/3 = (3 x - 1)/3:(5 (3 x - 1)/3)/(8) = 5/12
3×8 = 24:(5 (3 x - 1))/24 = 5/12
Multiply both sides of (5 (3 x - 1))/24 = 5/12 by 24/5:(24×5 (3 x - 1))/(5×24) = (24×5)/(5×12)
(24×5)/(5×12) = (24×5)/(5×12):(24×5 (3 x - 1))/(5×24) = (24×5)/(5×12)
(24×5 (3 x - 1))/(5×24) = (5×24)/(5×24)×(3 x - 1) = 3 x - 1:3 x - 1 = (24×5)/(5×12)
(24×5)/(5×12) = 5/5×24/12 = 24/12:3 x - 1 = 24/12
The gcd of 24 and 12 is 12, so 24/12 = (12×2)/(12×1) = 12/12×2 = 2:3 x - 1 = 2
Add 1 to both sides:3 x + (1 - 1) = 1 + 2
1 - 1 = 0:3 x = 2 + 1
2 + 1 = 3:3 x = 3
Divide both sides of 3 x = 3 by 3:(3 x)/3 = 3/3
3/3 = 1:x = 3/3
3/3 = 1:Answer: x = 1

3 0

3 years ago

Select all ratios equivalent to 5:2<br><br> A) 25:10<br> B) 10:4<br> C) 4:1

Scrat [10]

Answer:

A and B

Step-by-step explanation

6 0

3 years ago

Read 2 more answers

Which set of ordered pairs and equation for a best fit line represents data from the table?. a. (x1, y1) = (64, 135), (x2, y2) =

Marrrta [24]

Just comparing your (x, y) points to the values on the table, it looks like b) would be the quick answer. Since it states under the table to use average values within each range.
So for x=62 (the weight), we have y=122 (the iron count) which would be the average of the range between 115 and 129.

Similiarly, x=70 corresponds to y=146, which is the average of 139 and 153.
You could take the average values of your highest and lowest iron count ranges compare them to the max-min weight to get your slope. Looks like it would be (155-112)/(73-58)= 43/15= 2.8666 repeating. That would make sense with the slope in the equation listed in b) as well. <span>
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8 0

3 years ago

Elinor determined that a triangle with side lengths 6, 10, and 8 does not form a right triangle. 62 + 102 = 82 36 + 100 = 64 136

bazaltina [42]

Answer:

incorrect

Step-by-step explanation:

To determine if the triangle is right

If the square of the longest side is equal to the sum of the squares on the other 2 sides then the triangle is right, that is

longest side = 10 and 10² = 100

6² + 8² = 36 + 64 = 100

Thus the triangle is right.

She should have added 6² and 8² and compared that to 10²

5 0

3 years ago

Read 2 more answers