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Kryger [21]
3 years ago
8

Help me help me answer this

Mathematics
1 answer:
Leya [2.2K]3 years ago
8 0

If both triangles are congruent (that's what the sign means), then AD=CB, and CD=AB. Substituting what we are given into CD=AB,


6x-5=3x+10

Solving the equation:

3x=15

x=5

So we know that 2x+4 (the value of AD) becomes 2*5 +4, and you get 14. Since we know that AD=CB, then CB is also 14. No need to find y!

Answer: CB=14

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One month, the price of gas was $1.44. The next month the price of gas was $2.40. What was the approximate percent of increase f
Lapatulllka [165]
Step 1:
Find the difference between the two numbers.
$2.40-$1.44= $0.96

Step 2:
Divide by the original number.
$0.96/1.44= 0.667

Step 3:
Multiply by 100 to find percent increase.
0.667 * 100= 66.7% rounded to one decimal place or 67% rounded

Hope this helped! :)
6 0
3 years ago
What is the value of y in the sequence below<br> 2, У, 18,-54, 162
Maslowich

Answer:

<em>y=-6</em>

Step-by-step explanation:

<em>Geometric Sequences</em>

Any given sequence is said to be geometric if each term a_n can be obtained as the previous term a_{n-1} by a constant value called the common ratio.

a_n=a_{n-1}.r

or equivalently

a_n=a_1.r^{n-1}

Looking closely at the sequence 2, y, 18,-54, 162 we can try to find out if it's a geometric sequence or not. We compute the possible common ratios

\displaystyle \frac{162}{-54},\ \frac{-54}{18} and we see they both result -3. If we use r=-3 and try to find the second term (y), then

y=2*(-3)=-6

Now we compute the third term: (-6)(-3)=18

Since we got the third term as given in the original sequence.

So y=-6

3 0
3 years ago
Calculate the annual return percentage
const2013 [10]
The annual returns will be calculated as follows:
a] Here we use the formula:
A=p(1+r/100)^n
A=future amount
p=principle
r=returns
n=time
We are given:
A=500, p=400, t=1
Plugging the values in the formula we obtain:
500=400(1+r)^1
simplifying and solving for r:
1.25=1+r
thus
r=1.25-1
r=0.25~25%

b] Using the formula above:
A=p(1+r/100)^n
A=2500+100=2600, p=2000, n=1 year
plugging the values in the equation we obtain:
2600=2000(1+r)^1
simplifying and solving for r we obtain:
2600/2000=1+r
1.3=1+r
hence
r=1.3-1
r=0.3~30%

7 0
3 years ago
Please help me :) with this math problem, it's exponential functions.
noname [10]

Answer:

f(x) = 9(5/3)^x

Step-by-step explanation:

f(x) = a(b^x)

x = 0

9 = a(b⁰)

9 = a

f(x) = 9(b^x)

x = 1

15 = 9(b¹l

b = 15/9

b = 5/3

f(x) = 9(5/3)^x

8 0
4 years ago
A square picture frame with each side length represented by 3x -
Mariulka [41]

Answer:

D. 4(3x-5) = 52

Step-by-step explanation:

52 is equal the sum of one side multiplied by 4

So

4(3x-5) = 52

Is the right answer

6 0
3 years ago
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