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Sauron [17]
3 years ago
13

In Triangle ABC, the length of Segment AB is equal to the length of segment AC. The length of segment BC is 4 less than twice th

e length of segment AB. If the perimeter of Triangle ABC is 52, find the length of segment AB.
Mathematics
1 answer:
seraphim [82]3 years ago
7 0

Step-by-step explanation:

Let x be the length of segment AB.

Then the length of segment BC is (2x - 4).

The length of segment AC is x.

We know that x + (2x - 4) + x = 52.

Therefore 4x - 4 = 52, 4x = 56, x = 14.

Hence the length of segment AB is 14.

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A supermarket reduced the price per pound whole chicken by 20%. How many pounds of chicken can now be purchased for the amount o
nignag [31]

Answer:

25 pounds

Step-by-step explanation:

Let us assume that initially, 1 pound of whole chicken costs x.

So, initially 20 pounds of whole chicken costs 20x.

Now, the price is reduced by 20%.

That means that 1 pound of whole chicken now costs  x[1-\frac{20}{100} ]=0.8x

Therefore, with a 0.8x amount of money, we can now purchase 1 pound of the whole chicken.  

Hence, with a 20x amount of money, we can now purchase \frac{20x}{0.8x}=25 pounds of the whole chicken.

4 0
3 years ago
The price of a cup of coffee was $2.65 yesterday. Today, the price fell to $2.30 . Find the percentage decrease. Round your answ
Semenov [28]
Percent change = change/original * 100
(2.65 - 2.30)/ 2.65    * 100
.35/2.65  * 100
13.2 % decrease
-13.2% if you need to write is as a negative
7 0
3 years ago
Simplify 4 to the 7th over 5 squared all raised to the 3rd power.
Nikolay [14]
\bf \left( \cfrac{4^7}{5^2} \right)^3\impliedby \textit{first, let's distribute the exponent}
\\\\\\
\left( \cfrac{4^{7\cdot 3}}{5^{2\cdot 3}} \right)\implies \cfrac{4^{21}}{5^6}
\implies \cfrac{4398046511104}{15625}
4 0
3 years ago
A commuter must pass through five traffic lights on her way to work, and she will have to stop at each one that is red. After ye
uysha [10]

Answer:

a. (b) 2.5

b. (b) 1.89

Step-by-step explanation:

E(X) =0(0.05)+1(0.25)+2(0.35)+3(0.15)+4(0.15)+5(0.15)= 2.5

7 0
3 years ago
8^1/3 or how to do it with any fractions
ahrayia [7]

Answer:

2

Step-by-step explanation:

When given a fractional power, you want to try to see if the base has any power that can be used to simplify the power.

Since a^b/c =

\sqrt[b]{ {a}^{c} }

8^1/3=

\sqrt[3]{ {8}^{1} }

8 times by it self it 8

cube root of 8 is three numbers that are the same and times by each other to give 8

2×2×2=8

》2

8 0
3 years ago
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