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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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Answer:

A: The plant grows 1CM every day

Step-by-step explanation:

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3 years ago
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It takes 113 pounds of seed to completely plant a 12 -acre field. how many acres can be planted per pound of seed?
svp [43]
The answer is <span>0.10619469026. 

It takes about 9lbs of seed to plant 1-acre, so to find the answer divide 12/113 and you get how many acres 1lb of seed could cover.

Hope this helps :-)

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3 0
3 years ago
The expression represents the cost of Janelle’s cell phone bill, where m represents the number of minutes of use. 0.05m + 12 Wha
inn [45]

Answer:

The constant in the expression is 12

Step-by-step explanation:

The constant of the expression is the value that is independent of the number of minutes Janelle uses. The expression can  be written as :

f(m)=0.05m +12

Example if m is 1 or 2

f(1) = 0.05(1) +12 = 12.05

f(2= = 0.05*2 +12 =0.1 +12 = 12.1

The value 12 is the minimum price of the bill indepent of the consumption of minutes of Janelle. She will always be charged this value.

8 0
3 years ago
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a person invest in 9000 in a bank. the bank pays 5% interest compounded semi annually. to the nearest tenth of a year, how long
QveST [7]

Answer:

10.1 years.

Step-by-step explanation:

It is given that,

Principal = 9000

Rate of interest = 5%

No. of times interest compounded = 2 times in an year

Amount after certain time = 14800

The formula for amount:

A=P(1+\frac{r}{n})^{nt}

where, P is principal, r is rate of interest, n is no. of times interest compounded in an year and t is time in years.

Substitute the given values in the above formula.

14800=9000(1+\frac{0.05}{2})^{2t}

\frac{14800}{9000}=(1+0.025)^{2t}

1.644=(1.025)^{2t}

Taking log both sides.

\log(1.644)=\log(1.025)^{2t}

\log(1.644)=2t\log(1.025)    [\because \log a^b=b\log a]

\frac{\log(1.644)}{2\log(1.025)}=t

t=10.066

t=10.1

Therefore, the required time is 10.1 years.

3 0
3 years ago
(5÷3)x+(1÷2)=0 <br><br>find x​
xxMikexx [17]
(1.6666667)x+(.5)=0
1.6666667x=-.5
1.6666667x/1.666667=-.5/1.6666667
x= -.5/1.6666667
x=.3
8 0
3 years ago
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