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vlabodo [156]
2 years ago
12

Point H is the circumcenter of triangle DEF.

Mathematics
2 answers:
dedylja [7]2 years ago
5 0

Answer:

the correct answers are:

a. ) Point H is the center of the circle that passes through points D, E, and F.

c. ) HE=HD

Crank2 years ago
3 0
Circumcenter and circumcirle are shown in the attachment. Assume that the triangle is DEF instead of ABC and that the intersection of perpendiculars is H.
The definition of the circumcenter of a triangle is defined as the point of intersection of all the perpendicular bisectors in the triangle.
The circumcircle passes by all three of the triangle's vertices.

Based on the above, the right choiceS will be:
Point H is the center of the circle that passes through points D, E, and F. 
HD = HE




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A dartboard has 10 equally sized slices numbered from 1 to 10. Some are grey and some are white. The slices numbered 1,2 ,3 ,5 ,
hram777 [196]

Answer:

P(X) is 7/10

P(not X) is 3/10

Step-by-step explanation:

The total is 10 so thats ur denominator

The probability of landing on a grey area is 7/10

The probability of not landing on a grey area is 3/10

Hope this helps

5 0
2 years ago
A 16.0-inch chord is drawn in a circle whose radius is 10.0 inches. what is the angular size of the minor arc of this chord? wha
statuscvo [17]
PART I
Angular size of the minor arc . 
Half of the chord an the radius makes a right angled triangle with the radius as the hypotenuse and half of the chord as one of the shorter side.
Therefore, using trigonometric ratio, sine = opp/hyp
                          sine θ = 8/10  where θ is half the minor angle
                                  θ  = 53.13
Therefore, the angular size of the minor arc will be 53.13 × 2  = 106.26°

PART II
The length of an arc is given by (θ/360 )× 2πr
where θ is the angle subtended by the arc to the center of the circle and r is the radius of the circle.
Therefore, length = (106.26/360) × 3.142 × 2×10
                            = 18.548 Inches
                                   
8 0
2 years ago
in the diagram below, <AFB = <EFD. if m<EFD = (5x+6)°, m<DFC = (19x-15)°, and m<EFC = (17x+19)°, find m<AFE​
NeX [460]

Answer:

m<AFE​ =  128°.

Step-by-step explanation:

<u>Step 1: Find the value of x</u>

<em>Angle EFD + Angle DFC = Angle EFC</em>

5x + 6 + 19x - 15 = 17x + 19

24x - 9 = 17x + 19

7x = 28

x = 4

<u>Step 2: Find all angles</u>

<em>Angle AFB=Angle EFD= 5x + 6</em>

5(4) + 6 = 26°

Angle DFC = 19x - 15

19(4) - 15 = 61°

<u>Step 3: Find angle AFE</u>

<em>Line BD is a straight line and all angles on a straight line are equal to 180°.</em>

<em>Angle AFB + Angle AFE + Angle EFD = 180°</em>

26 + BFC + 26 = 180°

BFC = 180 - 52

BFC = 128°

<em>Therefore, m<AFE​ is equal to 128°.</em>

!!

3 0
2 years ago
Katya cut part of the jump rope off to make it shorter. The new length is 8 and StartFraction 1 over 6 EndFraction feet. The dif
maksim [4K]

Answer:

9 feet it is right

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
Hilda adds 5 to a number, then multiplies the sum by negative 2. The result is 6. Write an equation to find the number, x.
adell [148]
The equation would be x+5*-2=6.

The result of that equation would be x=16
7 0
2 years ago
Read 2 more answers
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