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masya89 [10]
3 years ago
12

What is the measure of arc EF in circle H? O 41° O 50° O 114 O 1730

Mathematics
2 answers:
timurjin [86]3 years ago
7 0

Answer:

The measure of arc EF = 41°

Step-by-step explanation:

Given:

Arc DE = 73°

\angle FED=123\°

Now, we know from central angle theorem that the measure of central angle by an arc is twice that of the angle made by the same arc at the circumference. Therefore,

\textrm{Major Arc DGF}=2\times \angle FED\\\textrm{Major Arc DGF}=2\times 123\\\textrm{Major Arc DGF}=246\°

Now, we know that sum of all arcs on a circle is equal to 360°.

Therefore, arc DGF + arc DE + arc EF = 360°

246+73+arc\ EF=360\\319+arc\ EF=360\\arc\ EF=360-319=41\°

Therefore, the measure of the arc EF is 41°.

Hatshy [7]3 years ago
3 0

Answer:

41

Step-by-step explanation:

answer is 41

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Two numbers are in the ratio 2:3 and their sum id 45 then find both numbers​
iragen [17]

Let the numbers be 2x and 3x.

<u>According to the Question</u>,

⇒ 2x + 3x = 45

⇒ 5x = 45

⇒ x = 45/5

⇒ x = 9

<u>Now finding the values of both the number,</u>

⇒ 2x = 2 × 9

= 18

⇒ 3x = 3 × 9

= 27

<u>Hence, the value of both the number is 18 and 27 respectively.</u>

7 0
3 years ago
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Given AC with A(3, 4) and C(-9, -2), if B
babymother [125]

Answer:

B = (- 4, \frac{1}{2} )

Step-by-step explanation:

Using the Section formula

x_{B} = \frac{7(-9)+5(3)}{7+5} = \frac{-63+15}{12} = \frac{-48}{12} = - 4

y_{B} = \frac{7(-2)+5(4)}{7+5} = \frac{-14+20}{12} = \frac{6}{12} = \frac{1}{2}

Thus coordinates of B = (- 4, \frac{1}{2} )

6 0
2 years ago
Will give brainliest!!
marin [14]

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3 0
3 years ago
Vita saved $72 last December. This amount represents 2/9 of the total amount she saved last year. What is the total amount Vita
GrogVix [38]
\dfrac{2}{9} \text { of the saving} = \$72

-----------------------------------------------
Find 1/9 :
-----------------------------------------------
\dfrac{1}{9} \text { of the saving} = \$72 \div 2

\dfrac{1}{9} \text { of the saving} = \$36

-----------------------------------------------
Find 9/9 :
-----------------------------------------------
\dfrac{9}{9} \text { of the saving} = \$36 \times 9

\dfrac{9}{9} \text { of the saving} = \$324

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Answer: The total amount is $324.
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7 0
3 years ago
Need help as quickly as possible
Solnce55 [7]

The measure of the unknown angles in the kite are as follows;

  • x = 66 degrees
  • y = 158 degrees

<h3>How to find the measure of a kite?</h3>

A kite has two pairs of adjacent equal sides.

In other words, a kite is a quadrilateral that has 2 pairs of equal-length sides and these sides are adjacent to each other.

One pair of opposite angles is equal. Diagonals are perpendicular to each other.

A kite has four interior angles and the sum of these interior angles is 360°

Therefore, the measures of the

x = 66 degrees.

Let's find y.

y = 360 - 70 - 66 - 66

y = 158 degrees.

learn more on kites here: brainly.com/question/24263475

#SPJ1

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1 year ago
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