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arlik [135]
3 years ago
8

I need to find the measure

Mathematics
1 answer:
marshall27 [118]3 years ago
7 0

Answer:

106°

Step-by-step explanation:

ΔDCB is equilateral which means it must also be equiangular; each angle is 60°

ΔABD is isosceles because AB=BD so ∡ADB=∡BDA

∡ABD = 180-(67 + 67) = 46

∡ABC = ∡ABD + ∡DBC

∡ABC = 46 + 60

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Last year at a certain high school, there were 96 boys on the honor roll and 60 girls on the honor roll. This year, the number o
djverab [1.8K]

Answer:

19%

Step-by-step explanation:

Last year:

Number of boys on honor roll = 96

Number of girls on honor roll = 60

Total students on honor roll = Number of boys on honor roll + Number of girls on honor roll

= 96 + 60

= 156

This year:

The number of boys on the honor roll increased by 25%

Number of boys on honor roll = 25% of 96 + 96

= 0.25×96 + 96

= 24 + 96

= 120

The number of girls on the honor roll increased by 10%.

Number of girls on honor roll = 10% of 60 + 60

= 0.10 × 60 + 60

= 6 + 60

= 66

Total students on honor roll = Number of boys on honor roll + Number of girls on honor roll

= 120 + 66

= 186

Percentage the total number of students on the honor roll increase = (186 - 156) / 156 × 100

= 30 / 156 × 100

= 0.19 × 100

= 19% to the nearest tenth

4 0
3 years ago
I WILL MARK BRAINLIEST PLEASE HURRY
AfilCa [17]
Consider, pls, this explanation + solution:
according to the given equation the centre of this circle is in the poit (6;7) and its radius =4 units.
Using this data, it is possible to define right choice: D.

answer: graph D.
4 0
4 years ago
A certain animated movie earned $ 1 . 1 ? 1 0 9 $1.1?10 9 in revenues at the box office. The movie lasts 9 . 1 ? 1 0 1 9.1?10 1
Leokris [45]

Answer:

$1.21\times 10^{7} per minute.

Step-by-step explanation:  

We have been given that a certain animated movie earned $1.1\times10^{9} in revenues at the box office. The movie lasts 9.1\times10^{1} minutes.

To find the revenue earned per minute of the movie we will will divide 1.1\times10^{9} by 9.1\times10^{1}.

\text{The revenue earned per minute by the movie}=\frac{1.1*10^{9}}{9.1*10^{1}}  

Using quotient rule of exponents we will get,

\text{The revenue earned per minute by the movie}=\frac{1.1}{9.1}*10^{(9-1)}

\text{The revenue earned per minute by the movie}=\frac{1.1}{9.1}*10^{8}

\text{The revenue earned per minute by the movie}=0.1208791208791209\times 10^{8}

We can write 0.1208791208791209 as 1.208791208791209\times10^{-1}.

\text{The revenue earned per minute by the movie}=1.208791208791209\times 10^{-1} \times 10^{8}

Using product rule of exponents we will get,    

\text{The revenue earned per minute by the movie}=1.208791208791209\times 10^{-1+8}    

\text{The revenue earned per minute by the movie}=1.208791208791209\times 10^{7}

Upon rounding our answer to two decimal places we will get,

\text{The revenue earned per minute by the movie}=1.21\times 10^{7}      

Therefore, the movie had earned a revenue of $1.21\times 10^{7} per minute.

7 0
4 years ago
Read 2 more answers
PLEASE HELP!!!!! WILL MARK AS BRAINLIEST
Zepler [3.9K]
F(-3)=-3^2-2
=9-2
=7
Therefore your answer is 7
Hope this helps
7 0
4 years ago
Max has $2000: $1000 decreased in value exponentially at a rate of 0.5% annually
Sergio039 [100]

Answer:

  $2147.36

Step-by-step explanation:

The first value can be modeled by ...

  b1 = 1000·(1 -0.005)^t

After 10 years, that balance is ...

  b1 = 1000·0.995^10 = 951.11

__

The second value can be modeled by ...

  b2 = 1000·(1 +0.018/2)^(2t)

After 10 years, that balance is ...

  b2 = 1000·1.009^20 = 1196.25

__

The total of the two investments after 10 years is ...

  $951.11 +1196.25 = $2147.36

6 0
3 years ago
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