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BARSIC [14]
3 years ago
11

In the figure at the right what is m < 1 if m < 3= 70 degrees

Mathematics
1 answer:
Arturiano [62]3 years ago
3 0
<h2>○=> <u>Correct option</u> :</h2>

\color{plum}\tt\bold{(D)  \: 70}

<h3>○=> <u>Steps to derive correct option</u> :</h3>

Angle 1 and angle 3 are vertically opposite angles.

We know that :

▪︎ Vertically opposite angles are always equal.

Which means :

Angle 1 = Angle 3

Thus, the measure of angle 3 = 70°

▪︎Therefore, the correct option is (D) 70

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How many sides does this regular polygon have? <br>Pls help ​
galina1969 [7]

Answer:

9 sides

Step-by-step explanation:

7y + 2y = 180

9y = 180

y =20

so, 2y, the exterior angle is 2 x 20 = 40

Divide 360 by 40 = 9

3 0
3 years ago
Can all quadrilaterals be inscribed in a circle? Explain
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Depends of the size of the quadrilateral in relation to the circle, but otherwise, yes
3 0
3 years ago
Determine the equation of the circle graphed below. <br><br> ( please help me )
Brums [2.3K]

Answer:

Equation : \\(x+3)^2 + ( y -2)^2 = 36

Step-by-step explanation:

For standard form the circle's equation we need the centre of the circle and the radius.

Step 1: <em><u>Find the centre</u></em>

If the centre is not given find the end points of the diameter

and then find the mid point.

Let the end points of the diameter be : ( - 3 , 8 ) and ( -3 , -4 )

The mid-point of the diameter is :

                        Mid-point = (\frac{-3 + - 3}{2}, \frac{-4+8}{2}) =  (-3, 2)

Therefore, centre of the circle = ( -3 , 2 )

Step 2 : <u>Find radius</u>

<u></u>Radius = \frac{Diameter }{2}<u></u>

Diameter is the distance between the end points ( -3 , 8) and ( -3 , -4 )

That is ,

 Diameter = \sqrt{(-3-(-3))^2 + ( -4 -8)^2}\\

                 = \sqrt{(-3 + 3)^2 + (-12)^2}\\\\=\sqrt{0 + 144}\\\\=12

Therefore ,

       Radius = \frac{12}{2} = 6

Step 3 : <u>Equation of the circle</u>

Standard equation of the circle with centre ( h ,k )

and radius ,r is :

       (x - h)^2+(y -k)^2 = r^2

Therefore, the equation of the circle with centre ( -3, 2)

and radius = 6 is :

    (x - (-3))^2 +  (y - 2)^2 = 6^2\\\\(x + 3)^2 + (y - 2)^2 = 36

5 0
2 years ago
I DON"T KNOW HOW TO DO THIS! HELP!
umka21 [38]

Answer:

Second choice

Step-by-step explanation:

The sides of the new triangle is in proportion to a scale of 3 to the original triangle. Since the sides are in proportions, the triangles are similar. Thus the angles are the same.

3 0
3 years ago
Read 2 more answers
In April, the Messa family gets 800 text messages included in their plan. Together, Tommy and Mary use half of the messages. Jac
laiz [17]

Answer: See explanation

Step-by-step explanation:

Total number of text messages = 800

Amount used by Tommy and Mary = 1/2 × 800 = 400

Number of messages uses by Jack and Stefanie = 240

The expression to find the number of messages Cathy uses will be:

= 800 - (1/2 × 800) - 240

Since the expression is 800 - (1/2 × 800) - 240, the number of messages that Cathy will use will be:

= 800 - (1/2 × 800) - 240

= 800 - 400 - 240

= 160 messages

3 0
2 years ago
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