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andrew-mc [135]
2 years ago
9

What is the measure in each angle? A? B? C?

Mathematics
1 answer:
andrey2020 [161]2 years ago
5 0

Answer:

∠A = 48°, ∠B = 48°, and ∠C = 84°

Step-by-step explanation:

AB = CB                Given

m ∠A = m ∠C      If opposite sides are =, then those opposite angles are =

6(x - 3) = 4(x + 1)

6x - 18 = 4x + 4

2x - 18 =  4

2x = 22

x = 11

m ∠A = 6(11 - 3) = 6(8) = 48°

m ∠C = 4(11+ 1) = 4(12) = 48°  

The sum of the angles in a triangle = 180°

48° + 48° m ∠B = 180°

 96°+ m ∠B = 180°

      84° =  m ∠B

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What is 04.151515... into a fraction
Sergio039 [100]

Answer:

\displaystyle 4.\overline{15} = \frac{137}{33}.

Step-by-step explanation:

Start by separating this decimal number into its integer part and its fraction part:

4.151515\cdots = 4 + 0.151515\cdots

The most challenging task here is to express 0.151515\cdots as a proper fraction. Once that fraction is found, expressing the original number 4.151515\cdots will be as simple as rewriting a mixed number as an improper fraction.

Let x = 0.151515\cdots. (x + 4) would then represent the original number.

Note that the repeating digits appear in groups of two. Therefore, if the digits in x are shifted to the left by two places, the repeating part will continue to match:

\begin{aligned}x = 0.&151515\cdots && \\ 100\, x = 15.& 151515\cdots \end{aligned}.

Note, that this "shifting" is as simple as multiplying the initial number by 100 (same as 10 raised to the power of the number of digits that needs to be shifted.)

Subtract the original number from the shifted number to eliminate the fraction part completely:

\begin{aligned}&(100\, x) - x \\ &= 15.151515\cdots\\  & \phantom{=}- 0.151515\cdots\\&=15 \end{aligned}.

In other words:

99\, x = 15.

\displaystyle x = \frac{15}{99} = \frac{5}{33}.

Therefore, the original number would be:

\displaystyle x + 4 = \frac{5}{33} = \frac{132 + 5}{33} = \frac{137}{33}.

4 0
3 years ago
Erika bought 3 kilograms of cinnamon red hots and 1 kilogram of gummy bears for $21.00. Meanwhile, Irene bought 3 kilograms of c
grin007 [14]
Erika $21
3k of cinnamon
1g of gummies

Irene $39
3k of cinnamon
3k of gummies

c= cost of 1 kilogram of cinnamon
g= cost of 1 kilogram of gummies

Erika's Equation
3c + 1g= $21

Irene's Equation
3c + 3g= $39

Solve for one variable in equation one and substitute it in the other equation.

3c + 1g= 21
subtract 3c from both sides
g= 21 - 3c

Substitute g=21 - 3c in equation
3c + 3g= $39
3c + 3 (21 - 3c)= 39
multiply all in parentheses
3c + 63 - 9c= 39
63 - 6c= 39
subtract 63 from both sides
-6c= -24
c= $4

Substitute c=4 in equation to find g
3c + g= 21
3(4) + g= 21
12 + g= 21
subtract 12 from both sides
g= $9

ANSWER: The price of 1 kilogram of cinnamon red hots is $4. The cost of 1 kilogram of gummies is $9.

Hope this helps! :)
3 0
3 years ago
Does anybody know the answer
denis-greek [22]

Answer:

hypotenuse aka the longest line on a right angle

7 0
2 years ago
Read 2 more answers
PLS HELP .........................
Otrada [13]

Answer:

I believe the answer is C :)

Step-by-step explanation:

5 0
2 years ago
The manager of the BiLo Supermarket in Mt. Pleasant, Rhode Island, gathered the following information on the number of times a c
pishuonlain [190]

Answer: kindly check explanation

Step-by-step explanation:

Given the data :

5 3 3 1 4 4 5 6 4 2 6 6 6 7 1 1 14 1 2 4 4 4 5 6 3 5 3 4 5 6 8 4 7 6 5 9 11 3 12 4 7 6 5 15 1 1 10 8 9 2 12

Frequency and relative frequency table can be found in the attachment below.

b. Where do the data tend to cluster?

3 up to 6

7 0
3 years ago
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