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krok68 [10]
3 years ago
14

What is the measure is the angle shown with the question mark?

Mathematics
2 answers:
Ilya [14]3 years ago
5 0
The interior angles of a quadrilateral( 4 sided figure)  add up to 360 degrees.

114 + 84 + 94 + x = 360
292 + x = 360
x = 360 - 292
x = 68 <== ur missing angle
sergejj [24]3 years ago
5 0
Hello!

The total number of degrees that a polygon must add up to are 360°.

We currently know that three of the angles are: 114°, 84°, and 94°.

We will now add up the total number of these three angles:
114+84+94= 292

To find the measurement of the last angle, we must subtract 292° from the total (360°).

360-292= 68°

The measurement of the unknown angle is 68°.

I hope this helps you!!

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Through: (-5, -3), perp. to y=-9/4x-5
Mrrafil [7]

Given:

A line passes through (-5,-3) and perpendicular to y=-\dfrac{9}{4}x-5.

To find:

The equation of the line.

Solution:

We have,

y=-\dfrac{9}{4}x-5

On comparing this equation with slope intercept form, i.e., y=mx+b, we get

m_2=-\dfrac{9}{4}

It means, slope of this line is -\dfrac{9}{4}.

Product of slopes of two perpendicular lines is always -1.

m_1\times m_2=-1

m_1 \times \left(-\dfrac{9}{4}\right)=-1

m_1=\dfrac{4}{9}

Slope of required line is \dfrac{4}{9} and it passes through the point (-5,-3). So, the equation of the line is

y-y_1=m(x-x_1)

where, m is slope.

y-(-3)=\dfrac{4}{9}(x-(-5))

y+3=\dfrac{4}{9}(x+5)

9(y+3)=4(x+5)

9y+27=4x+20

27-20=4x-9y

7=4x-9y

Therefore, the equation of required line is 4x-9y=7.

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3 years ago
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Komok [63]

Answer: if im not wrong it would be 1583/1000

Step-by-step explanation:

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<span> For this case we have the following number: 
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photoshop1234 [79]

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