In circle G with m_FGH = 60 and FG = 19 units, find the length of arc FH.
Round to the nearest hundredth.
FH

Answer:

62 degrees

Step-by-step explanation:

HJ is a line which means its 180 degrees if HIL is 118 degrees then LIJ is 62 degrees and due to the lines being parallel then MLN is also 62 degrees

So, we know that ∠HIL = 118, and we also know that a line is 180 degrees. This means that ∠HIL +∠JIL = 180. We can use simple arithmetic and substitution to find that 180-118= 62, so ∠JIL = 62.

We have another line, Line N, so we know that the line is equal to 180 as well! Because ∠JIL and ∠ILM are both on this line, ∠JIL +∠ILM = 180. ∠JIL = 62, so 180 - 62 = 118.

Lastly, Line N is still equal to 180, so ∠ILM + ∠MLN = 180. In this case, we have 180-118=62, so ∠MLN = 62.

Or, using theorems, there is an easier way to do this.

The corresponding angles theorem tells us that "If a transversal intersects two parallel lines, the corresponding angles are congruent." So, we can see that both ∠MLN and ∠JIL are corresponding so they are congruent. First, however, we need to find ∠JIL, and if we look at our work from above, we see that ∠JIL = 62. Since ∠JIL and ∠MLN are congruent, or the same, ∠MLN is also 62.

:)

Answer:

Y=-9

W=9

Step-by-step explanation:

2y/6+3=0

-3=-3

6/1 *2y/6=-3*6/1

2y=-18

2y/2=-18/2

Y=-9

The rest of the work is in the pic

Answer:

[tex]w = 52[/tex]

Step-by-step explanation:

Given

See attachment for intersecting lines

Required

Find w

Using the horizontal line as a point of reference, the blank angle between w and 76 equals w.

This is so because it corresponds to angle w, at the bottom of the horizontal line.

So, to find w, we make use of:

[tex]w + w + 76 = 180[/tex] --- angle on a straight line

Collect like terms

[tex]w + w = -76 + 180[/tex]

[tex]2w = 104[/tex]

Solve for w

[tex]w = \frac{104}{2}[/tex]

[tex]w = 52[/tex]

Answer:

84

Step-by-step explanation:

Answer:

n = 17.5

Step-by-step explanation:

4*17.5 = 70

70 - 5 = 65

115 + 65 = 180

Have a nice day!

Answer:

17.5

Step-by-step explanation:

115+(4n-5) are a linear pair.

115+(4n-5)= 180

minus 115

4n-5=65

plus 5

4n=70

divide by 4

n= 17.5

Answer:

125.2

Step-by-step explanation:

Answer:

[tex]33 {5 = > { <}^{2} }^{2} }^{2} }^{?} [/tex]

Answer:

m<1 = 140

Step-by-step explanation:

m<1 = 140 because of alternate interior angles

Answer:

a: yes

b: yes

c: no

d: yes

Step-by-step explanation:

all of the b's are smaller than 11.3 but c is saying that the beagles are heavier than 11.3

Answer:

45+5x

Step-by-step explanation:

Answer:

divide both sides by 2 (to isolate the equation in parenthesis)

subtract 3 from both sides (to isolate the variable x)

x=1

Step-by-step explanation:

if you need a better explanation just let me know!

Answer:

900 square feet :)

Step-by-step explanation:

plz give brainliest

Answer: A the additional fee per yoga class is 3.75

Given:

A figure of a circle and inscribed quadrilateral JKLM.

[tex]m\angle M=47^\circ,\angle K=(7x+21)^\circ[/tex]

To find:

The value of x.

Solution:

The inscribed quadrilateral JKLM in the circle I is a cyclic quadrilateral and the opposite angles of a cyclic quadrilateral are supplementary angles.

Angle M and angle K are opposite angles of a cyclic quadrilateral, it means they are supplementary angles and their sum is 180 degrees.

[tex]m\angle M+m\angle K=180^\circ[/tex]

[tex]47^\circ+(7x+21)^\circ=180^\circ[/tex]

[tex](7x+68)^\circ=180^\circ[/tex]

[tex](7x+68)=180[/tex]

Isolate the variable x.

[tex]7x=180-68[/tex]

[tex]7x=112[/tex]

[tex]x=\dfrac{112}{7}[/tex]

[tex]x=16[/tex]

Therefore, the value of x is 16.

Answer:

She worked 12 hours for the week

Step-by-step explanation:

Given that :

Hours worked :

Mondays = 40 hours

Tuesdays = 8 hours

If 1/4 of regular hours was worked in a certain week, the number of hours worked that week can be calculated thus ;

1/4 (Monday hours + Tuesday hours)

1/4(40 + 8)

(1/4 * 40) + (1/4 * 8)

10 + 2

= 12 hours

Answer:

180

Step-by-step explanation:

Answer:

15 pounds

Step-by-step explanation:

Given  data

Initial weight= 12 pounds

percent increase in weight = 25%

Let us find the increment

=25/100*12

=0.25*12

=3 pounds

Hence the weight in pounds of jacks puppy is

=3+12

=15 pounds

Answer:

The complementary angle is 41 degrees

Step-by-step explanation:

A complementary angle is when two angles add up to 90

90 = 49 + x

90 - 49 = 49 - 49 + x

41 = x

Answer:

i got 10 in the end 10000 is a power of 10 so the lowest answer is 10

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

-36 since it says 36 below zero.

Step-by-step explanation:

Answer:

ange is 7

Step-by-step explanation:

Angle 5 plus angle 7 sum is 180 degrees because the are supplementary angles. Therefore, 85 degrees + unknown angle 7= 180. 180-85= 95 degrees, or the measurement of angle 7.

hope this was what you where asking for can u plz mark me brainlest

Answer:

14

Step-by-step explanation:

Answer:

D 18

Step-by-step explanation:

if you look 6 goes down to a 4 so it is resized by 1/3 and 21 resized by a third is 18

From 999 and 1999, there are 82 multiples of 11.

The earliest and last multiples of 11 within this range must be identified in order to determine the total number of multiples between 999 and 1999.

As 999 is not divisible by 11, the first multiple of 11 that is bigger than or equal to 999 is 1001. Due to the fact that 2002 is bigger than 1999 and not divisible by 11, the latest multiple of 11 that is less than or equal to 1999 is 1991.

We can use the formula for the number of integers in an arithmetic sequence to determine how many multiples of 11 there are between 1001 and 1991:

(Last term - First term) / common difference + 1 Number of integers

Number of multiples of 11 = (1991 - 1001) / 11 + 1 = 82

Therefore, there are 82 multiples of 11 between 999 and 1999.

Learn more about numbers here:

https://brainly.com/question/17429689

#SPJ1

Answer:

B.z.................

Answer:

12

Step-by-step explanation: