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

Mathematics

2 answers:

timurjin [86]4 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]4 years ago

3 0

Answer:

Step-by-step explanation:

answer is 41

You might be interested in

In which number is the value of the seven equal

kozerog [31]

Answer:

It would be C, 64.387

Step-by-step explanation:

First, you have to solve 7x1/1000. This equal to 7/1000 which should be converted into decimal form (since all the answers are in decimal form). 7/1000 is 0.007 in decimal form.

It is 0.007 since in 7/1000, the denominator is 1000, making 7 in the thousandths place (the 3rd digit to the right of the decimal point).

The only number that contains 0.007 is the 3rd one, making it your answer.

5 0

3 years ago

Sue's bakery sold 850 donuts last week. This week, the number of donuts sold increased 12%. HOW MANY MORE donuts were sold this

777dan777 [17]

Answer:

102 donuts

Step-by-step explanation:

12% of 850 is 102, so since 12% more donuts are sold this week, we sold 102 more donuts this week compared to last week.

Hope this Helps! :)

<em>Have any questions? Ask below in the comments and I will try my best to answer.</em>

-SGO

7 0

3 years ago

prohojiy [21]

Answer:

Step-by-step explanation:

The formulas to find the x and y coordinates of E are:

$x=\frac{bx_1+ax_2}{a+b}$ and $y=\frac{by_1+ay_2}{a+b}$ where x1, x2, y1, and y2 are from the coordinates of A and B, and a = 1 (from the ratio) and b = 2 (from the ratio). Filling in to find x first: