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Tamiku [17]
3 years ago
5

PLEASEEEEEEE HELP ME!

Mathematics
1 answer:
posledela3 years ago
8 0

Answer:

DC = 6

Step-by-step explanation:

Given in the question,

radius = 3x

tangents to the circle = 12 + 5x and 8 + 7x

If you draw line from A to D, two right angle triangle will be form ADC and ADB

having radius  = 3x

<h3>By using pythagorus theorem</h3><h3>hypotenuse² = base² + height²</h3><h3 />

Since, both triangle share same hypotenuse AD

so,

<h3>     ΔADC                        ΔADB</h3><h3>base² + height² = base² + height²</h3><h3 />

3x² + (8 + 7x)² = 3x²  + (12 + 5x)²

3x² will be cancel out

(8 + 7x)² =  (12 + 5x)²

64 + 112x + 49x² = 144 + 120x + 25x²

rearranging like terms

49x²-25x² +112x - 120x + 64 -144 = 0

24x² - 8x - 80 = 0

(x- 2)(x + 5/3)

x = 2

x = -5/3 rejected as radius can't be negative

So,

length of radius = 3x = 6

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The ratio of two numbers is 2/3. The sum of the numbers is 105. What are the two numbers?
Pepsi [2]
A) x/y = 2/3
B) x + y = 105
Solving Equation A for y
A) y = 1.5x
Substituting A into B
B) x + 1.5x = 105
2.5x = 105
x = 42
y = 63


8 0
3 years ago
Pls help these are due TODAY!!!!
Tamiku [17]

Answer:

10

Step-by-step explanation:

the two triangles formed from c are similar which means the sides are proportional

the proportion of one length of a side of a triangle to a similar side of the other triangle is the same as another side to its corresponding side of the other triangle. god im bad explaining stuff

anyway 2 is to 8 what 2.5 is to length BC. 2/8 = 2.5/x

    -crossmultiplyyy

2*x = 2.5*8

2x = 20

2x/2 = 20/2

x = 10

5 0
3 years ago
I need help with this please :)
Marina CMI [18]

9514 1404 393

Answer:

  all are Not Equivalent

Step-by-step explanation:

The coefficient of t³ in the target expression is -3. In order for that to be the result of simplifying any of the given expressions, they must have ( )^(t^3) in the denominator. None do, so none of the offered choices is equivalent to the given expression.

_____

The expressions simplify like this:

  \dfrac{(2^3)^{t^3}}{2^{5t}}=2^{3t^3-5t}\\\\\dfrac{8^{t^3}}{32^t}=2^{3t^3-5t}\\\\8^{t^3}\cdot32^t=2^{3t^3+5t}

4 0
2 years ago
How do i acquire wealth, how do i get rich
Delvig [45]
Rich in the world Become a youruber
4 0
3 years ago
Nool
larisa [96]

Answer:

Step-by-step explanation:

4x = 60

60/4 = 15

width : 15

length: 45

4 0
3 years ago
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