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Alborosie
3 years ago
10

Find the measure of <_A. (show work if possible).

Mathematics
1 answer:
Sholpan [36]3 years ago
4 0

Answer:

<em>We </em><em>know </em><em>that </em><em>exterior </em><em>angle </em><em>of </em><em>a </em><em>triangle </em><em>is </em><em>equal </em><em>to </em><em>the </em><em>sum </em><em>of </em><em>two </em><em>opposite </em><em>interior </em><em>angle</em><em>.</em>

Step-by-step explanation:

<A = 4y

< B = 3y + 6°

<BCD = 111°

Now

<BCD = <A + <B( exterior angle of a triangle is equal to the sum of two opposite interior angle)

111° = 4y + 3y + 6°

111° - 6° = 7y

105° =7y

Therefore y = 15°

The measure of <A = 4*15°= 60°

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Triangle DEF is circumscribed about circle R. Points S, T and U are points of tangency where SD = 4 m and UF = 7 m. What is the
Mama L [17]
The measure off DF is 11.

In a circle inscribed within a triangle, the distance from each vertex of the triangle to the two nearest touchpoints (points of tangency on the circle) are equal.  Since SD=4, DT=4 as well.  Since UF=7, then FT=7.  

DF=DT+TF=4+7=11.
4 0
3 years ago
Read 2 more answers
Please help me find measure of angle LKM if measure of angle LKN = 145°​
natali 33 [55]

Answer:

56

Step-by-step explanation:

The thing to realize is that the total of both angles that have x in them is that they add to 145. That's given.

<LKM + <MKN = 145

2x + 10 + 4x - 3 = 145              Combine like terms

6x + 7 = 145                             Subtract 7 from both sides

6x = 138                                   Divide by 6

x = 138/6

x = 23

That's not the answer.

2x + 10 = <LKM

2*23 + 10 = <LKM

46 + 10 = <LKM

56 = <LKM

3 0
3 years ago
There are a total of 84 students in a drama club and a yearbook club. The drama club has 16 more students than the yearbook club
vodomira [7]
Y = yearbook club
d = drama club

y + d = 84
d = y + 16

now we sub y + 16 in for d in the first equation
y + d = 84
y + (y + 16) = 84
2y + 16 = 84
2y = 84 - 16
2y = 68
y = 68/2
y = 34 <=== yearbook club students

d = y + 16
d = 34 + 16
d = 50 <=== drama club students
7 0
3 years ago
Help me please help me thanks please
Tatiana [17]

Answer:

1018 cm

Step-by-step explanation:

A=piR^2

To find the radius from circumference, we divide by pi and then divide by two.  

C=36pi

36pi/pi=36

36/2=18

R=18

if we plug 18 into

A=piR^2,

we get

18pi^2=A

18pi^2=1017.88

round this to get 1018

A=1018

7 0
3 years ago
Write the correct answers on the blanks in the following chart. Round decimals to 3 places.
Gennadij [26K]

Answer:

View Attachment

Step-by-step explanation:

I cant explain every single box so I'll explain how you can find the values.

To find percent: Multiply the decimal by 100

To find the decimal: Evaluate the value of the common fraction

To find the common fraction: Rewrite percentage as percentage/100 and then simplify the fraction.

4 0
1 year ago
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