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adell [148]
2 years ago
10

10 pts. for whoever solves this!

Mathematics
1 answer:
iVinArrow [24]2 years ago
3 0

Answer:

x = 4

Step-by-step explanation:

the segment inside the triangle is an angle bisector and divide the opposite side into segments that are proportional to the other two sides, that is

\frac{x}{x+4} = \frac{x+6}{2x+12} = \frac{x+6}{2(x+6)} = \frac{1}{2} ( cross- multiply )

2x = x + 4 ( subtract x from both sides )

x = 4

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A. Write as many ratios as you can using two side<br> lengths from ABC.
iragen [17]

Answer:

Ratio is 2:1

Step-by-step explanation:

The bigger triangle is ×2 bigger so ratios can be

2:1 , 4:2, 8:4 , 16:8 and so on

7 0
2 years ago
A 39-foot flagpole has a 21-foot shadow. If a man standing next to the flagpole has a 3.5-foot shadow, how tall is the man?
Aliun [14]

Answer:

He's 6.5 feet tall.  

Step-by-step explanation:

Set up ratios 3.5/21 = x/39 and use the butterfly method.

7 0
3 years ago
Read 2 more answers
WZ←→− is tangent to circle O at point B.
Assoli18 [71]

A tangent (here WZ in the question) to any circle (here O in the question) is a line segment that touches the circle at only one point (here B in the question) on circumference of circle, and the radius of the circle (here OB in the question) through this point is always perpendicular to that particular tangent.

In other words, Tangent (WZ) and Radius (OB) of any circle (O) always make a Right angle at point of intersection (B) on its circumference.

It means angle ∠OBZ would be a Right angle i.e. 90 degrees.

So, option B i.e. 90 degrees is the final answer.

7 0
4 years ago
Read 2 more answers
a student borrow some money from his father at 2% simple interest to buy a car he paid his father 360 and interest after 3 years
seropon [69]

Answer:

$6000.

Step-by-step explanation:

360/3(years)= 2% of Principle

so

120=2% of principle

2%=1/50

120*50=6000    

Ans.=$6,000

5 0
3 years ago
A $3300 principal earns 4% intrest, compounded annually. After 3 years, what is the balance in the account.
Nikitich [7]
This can be answered using the following formula for interest:

Let:
F = future value
P = principal value
n = interest period (n = 3)
i = interest percentage

F = P(1 + i)^n

Substituting the given values, we arrive at the following:
F = 3300(1 + 0.04)^3
F = 3712.05

Therefore, after 3 years, the balance in the account will be $3712.05



4 0
4 years ago
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