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kobusy [5.1K]
3 years ago
11

I will give brainliest and 5 stars if you help ASAP​

Mathematics
1 answer:
Ivenika [448]3 years ago
4 0
Answer: XZY = 32 and XYZ = 116

Explanation:
Triangle XYZ is an isosceles triangle with XY = ZY and Angle YXZ = XZY

And YXZ = a = 32 degree

Which mean XZY also = 32 degrees

Find XYZ:

XYZ + YXZ + YZX = 180
XYZ + 32 + 32 = 180
XYZ + 64 = 180
XYZ = 180 - 64
XYZ = 116
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Line segment AB has endpoints A(-1.5, 0) and B(4.5 8). Point C is on line segment AB located at (0, 2)
Pie

Answer:

The ratio of AC/CB=1/3

Step-by-step explanation:

We use the section formula:

(\frac{mx_2+nx_1}{m+n},\frac{my_2+ny_1}{m+n})

We substitute the point A(-1.5,0) and B(4.5,8).

We plug in the points to get:

(\frac{4.5m - 1.5n}{m+n},\frac{8m+n \times 0}{m+n})

This is supposed to be equal to: (0,2).

(\frac{4.5m - 1.5n}{m+n},\frac{8m+n \times 0}{m+n}) = (0,2)

We can equate, corresponding coordinates to find m and n.

\frac{4.5m - 1.5n}{m + n}  = 0

This implies that:

4.5m - 1.5n = 0

4.5m  = 1.5n

\frac{m}{n}  =  \frac{1.5}{4.5}

\frac{m}{n}  =  \frac{1}{3}

Therefore the ratio is m:n=1:3

4 0
3 years ago
An acute angle θ is in a right triangle with sin θ = five sixths. What is the value of cot θ?
Molodets [167]
<span>The value of cot is √13/6</span>
6 0
3 years ago
In 2010, the population of a town was 8500. The population decreased by 4.5% each year.
Soloha48 [4]

Answer:

This is a problem in exponential decay.

a) If a town's population decreases by 4.5% every year that also means that the town's population decreases by a factor of .955 each year.  (1 - .045 = .955)

So, after 5 years, the town's population is:

8,500 * .955^5 which equals 6,752.

So, basically, after t years, the town's population equals

8,500 * .955^t  where t is the number of years that have passed since the year 2010.

b) population = 8,500 * .955 ^ (number of years since 2010)

7,000 / 8,500  = .955 ^ (number of years since 2010)

0.8235294118  = .955 ^ (number of years since 2010)

To solve for (number of years since 2010) we take logs of both sides

log (0.8235294118 ) = number of years since 2010 * log(.955)

-0.0843208857  = number of years since 2010 * -0.0199966284

-0.0843208857  / -0.0199966284  = number of years since 2010

4.2167551422  = number of years since 2010

So, population = 7,000 when the year is 2014.2167551422

Or about  2.6 months into 2014

(YES, it's just that "easy")  LOL

Step-by-step explanation:

6 0
3 years ago
F(x) = x2. What is g(x)?
puteri [66]

Answer:

C:  g(x) = 3x^2

Step-by-step explanation:

Note that (1, 1) is on the graph of f(x) and that (1, 3) is on the graph of g(x).  This indicates that the coefficient of x^2 is 3 for g(x).

5 0
3 years ago
The cost is $6.75 for 1 item. Find the cost of 8 items
scoray [572]

Answer:

$54

Step-by-step explanation:

Multiply the cost by the number of items

6.75x8=54

The cost is $54

5 0
3 years ago
Read 2 more answers
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