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storchak [24]
3 years ago
15

Find the measure of each angle please?

Mathematics
2 answers:
BlackZzzverrR [31]3 years ago
6 0
Hi!

The measure of angle x is 60 degrees so the measure of angles 2x is 120 degrees.
Veronika [31]3 years ago
3 0
Each exterior angle measuring 2x forms a linear pair with an interior angle measuring an unknown measure. Angles in a linear pair are supplementary.
Since both interior angles are supplementary to congruent angles, they are congruent.
Let z be the measure of each upper interior angle.

2x + z = 180

z = 180 - 2x

Each upper interior angle measures 180 - 2x.

The sum of the measures of the interior angles of a triangle is 180.

180 - 2x + 180 - 2x + x = 180

-3x + 360 = 180

-3x = -180

x = 60

One interior angle measures x, so it measures 60 deg.
The other two interior angles measure 180 - 2x = 180 - 2(60) = 180 - 120 = 60

Answer: all interior angle measure 60 deg.
The exterior angles shown measure 120 deg each.
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The functions f(x) = (x + 1)2 − 2 and g(x) = −(x − 2)2 + 1 have been rewritten using the completing-the-square method. Apply you
forsale [732]

Answer:

Step-by-step explanation:

A positive parabola is one that has a + sign out front or no sign at all (and the positive is understood).  A positive parabola opens like a cup with a bottom.  Therefore, the positive parabola has a min value.  A negative parabola opens upside down, like a mountain with a peak.  Therefore, the negative parabola has a max value.

5 0
3 years ago
Solve for x<br><br><br> 6x−2(x+4)=12
aev [14]
To solve for x, we will begin by using the distributive property

6x - 2(x + 4) = 12

6x - 2x - 8 = 12

(always remember to sort your negatives!)

Add like terms 

4x - 8 = 12

Add 8 to both sides

4x = 20

Divide both sides by 4

x = 5
3 0
3 years ago
Read 2 more answers
Which transformations to the graph of j(x) would result in the graph of j(4x) – 27?
Grace [21]

Answer:

Option D.

Step-by-step explanation:

It is given that, graph of j(x) transformed in the graph of j(4x) – 27.

We need to find the transformations.

Consider the new function is

f(x)=j(4x)-27          ... (1)

The translation is defined as

f(x)=j(kx+a)+b                ... (2)

Where, k is stretch factor, a is horizontal shift and b is vertical shift.

If 0<k<1, then the graph stretched horizontally by factor of 1/k and if k>1, then the graph compressed horizontally by factor of 1/k.

If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.

If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.

On comparing (1) and (2), we get

k=4>1, the graph j(x) compressed horizontally by factor of 1/4.

a=0, so there is no horizontal shift.

b=-27<0, so the graph of j(x) shifts 27 units down.

So, the required transformations are horizontal compression by a factor of 1/4, and a translation 27 units down.

Therefore, the correct option is D.

6 0
3 years ago
What is the estimate of 6296
Papessa [141]
Ans:6300


Explanation: Estimating the value of 6296+0
Round up the number 6296 to 6300.
6300+0
Round up the number 0 to 0.
6300+0
Add 0 to 6300.
6300
6296+0≈6300
The Estimated Value of 6296+0 is 6300.
3 0
1 year ago
Y=6<br> X+2y=16<br><br> Can someone one help me out its a substitution and system of equations graph
Nikitich [7]
If you know that y = 6. You just have to switch Y by 6.

x + 2y = 16
x + 2*6 = 16
x + 12 = 16
x = 16 - 12
x= 4

4 + 2*6 = 16

Hope this helps !

Photon
7 0
3 years ago
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