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Anna71 [15]
3 years ago
9

Find the value of x in each case. Give reasons to justify your solutions!

Mathematics
2 answers:
motikmotik3 years ago
7 0

Answer:

x = 52

Step-by-step explanation:

Since we know that <em>a</em><em>l</em><em>l</em><em> </em><em>a</em><em>n</em><em>g</em><em>l</em><em>e</em><em>s</em><em> </em><em>o</em><em>f</em><em> </em><em>a</em><em> </em><em>t</em><em>r</em><em>i</em><em>a</em><em>n</em><em>g</em><em>l</em><em>e</em><em> </em><em>a</em><em>d</em><em>d</em><em> </em><em>u</em><em>p</em><em> </em><em>t</em><em>o</em><em> </em><em>1</em><em>9</em><em>0</em><em> </em><em>d</em><em>e</em><em>g</em><em>r</em><em>e</em><em>e</em><em>s</em><em>,</em>

Angle RQS = 180 - 90 - 34

= 56 degrees

Angle PQS = 180 - 56 (<em>A</em><em>n</em><em>g</em><em>l</em><em>e</em><em>s</em><em> </em><em>o</em><em>n</em><em> </em><em>a</em><em> </em><em>s</em><em>t</em><em>r</em><em>a</em><em>i</em><em>g</em><em>h</em><em>t</em><em> </em><em>l</em><em>i</em><em>n</em><em>e</em><em> </em><em>a</em><em>d</em><em>d</em><em> </em><em>u</em><em>p</em><em> </em><em>t</em><em>o</em><em> </em><em>1</em><em>8</em><em>0</em><em>)</em>

= 124 degrees.

Therefore, x + 72 = 124

<u>x</u><u> </u><u>=</u><u> </u><u>5</u><u>2</u>

mina [271]3 years ago
7 0

Answer:

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the two opposite side

: 90° + 34° = x + 72°

x = 90° + 34° - 72°

x = 52°

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nikitadnepr [17]

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Step-by-step explanation:

50.70500 ÷ 2.64600 = 19.1628873772

8 0
3 years ago
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2 years ago
Please help<br> Please help find Y
max2010maxim [7]

Answer:

2

Step-by-step explanation:

The given angle is 45 degrees so the triangle has the same legs.

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y= √2(√2)^2 = √4 = 2

8 0
3 years ago
If f(x) = 2x^3 - 14x^2 + 38x -26 and x-1 is a factor of f(x) find all of the zeros of f(x) algebraically.
Anestetic [448]

Answer:

Step-by-step explanation:

First confirm that x = 1 is one of the zeros.

f(1) = 2(1)^3 - 14(1)^2 + 38(1) - 26

f(1) = 2 - 14 + 38 - 26

f(1) = -12 + 38 = + 26

f(1) = 26 - 26

f(1) = 0

=========================

next perform a long division

x -1  || 2x^3 - 14x^2 + 38x - 26 || 2x^2 - 12x + 26

          2x^3 - 2x^2

          ===========

                    -12x^2 + 28x

                     -12x^2 +12x

                     ==========

                                  26x -26

                                  26x - 26

                                 ========

                                      0

Now you can factor 2x^2 - 12x + 26

                                 2(x^2 - 6x + 13)

The discriminate of the quadratic is negative. (36 - 4*1*13) = - 16

So you are going to get a complex result.

x = -(-6) +/- sqrt(-16)

     =============

                 2

x  = 3 +/- 2i

f(x) = 2*(x - 1)*(x - 3 + 2i)*(x - 3 - 2i)

The zeros are

1

3 +/- 2i

8 0
3 years ago
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Hunter-Best [27]

Answer:

<em>Look Below In the Explanation</em>

Step-by-step explanation:

Point P has coordinates of (4,4) and point Q has coordinates of (4,-4).

Since both points have the same x-coordinates we can subtract point Q's y-coordinate from point P's y-coordinate.

I will set the equation up and try and figure this part by yourself. I hope you learned what to do from previous questions that are very similar to this that I answered.

4 - ( -4) = length of the bed of flowers

Hope that helps and maybe earns a brainliest!

Have a splendid day! :^)

3 0
2 years ago
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