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alexira [117]
2 years ago
10

What type of triangle is triangle ABC give reasons for your answer help please I need 1 more mark But I don't know what I'm doin

g wrong ​

Mathematics
1 answer:
ladessa [460]2 years ago
7 0

Answer: isosceles

Step-by-step explanation:

By the alternate interior angles theorem, \angle CAB=50^{\circ}

Since angles in a triangle add to 180 degrees, \angle ACB=180^{\circ}-80^{\circ}-50^{\circ}=50^{\circ}

Since sides opposite equal angles in a triangle are equal, AB=BC.

So, triangle ABC is <u>isosceles</u>

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The population of a city is modeled by the equation P(t)=232012e0.23t where t is measure in years. If the city continues to grow
Gennadij [26K]

In around 6.35 years, the population will be 1 million.

<h3> how many years will it take for the population to reach one million?</h3>

The population is modeled by the exponential equation:

P(t) = 232,012*e^{0.23*t}

Then we just need to solve the equation for t:

P(t) = 232,012*e^{0.23*t} = 1,000,000

Let's solve that:

232,012*e^{0.23*t} = 1,000,000\\\\e^{0.23*t} = 1,000,000/232,012 = 4.31\\

If we apply the natural logarithm to both sides:

ln(e^{0.23*t}) = ln(4.31)\\\\0.23*t = ln(4.31)\\\\t = ln(4.31)/0.23 = 6.35

So in around 6.35 years, the population will be 1 million.

If you want to learn more about exponential equations:

brainly.com/question/11832081

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5 0
2 years ago
What is the quotient of 9−x^2 divided by 3x and x^2+6x+9 divided by 3x?
Naddik [55]

Answer:

44 rem

Step-by-step explanation:

Sorry i dont have an explanation

5 0
2 years ago
The sum of two numbers is 63. The larger number is 23 more than the smaller number. What are the numbers?
Sunny_sXe [5.5K]

x+y=63

x=y+23

y+23+y =63

2y +23 = 63

2y =40

y=40/2 =20

y = 20

x = 20+23=43

the numbers are 20 & 43

5 0
3 years ago
Read 2 more answers
What is the best estimate for the width of your index finger
Len [333]
I don’t know for sure by 1 cm is a good guess.
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3 years ago
HELP ASAP!right answer I’ll give you a crown
faltersainse [42]

Answer:

y=-\frac{3}{2}x+1

Step-by-step explanation:

Slope-intercept form means

y=mx+c

where m is given its the slope which is -\frac{3}{2} and we have the coordinates x and y which is (4, -5) and we need to find the value of c which is the y-intercept so we insert all these values into the equation so ,

y=mx+c

-5 = -\frac{3}{2}(4)+c

-5=-6+c

c=1

now we know the value of slope which is given -\frac{3}{2} and we found the value of which is 1 so we put these values into our original slope-intercept form equation

y=mx+c\\\\y=-\frac{3}{2}x+1

4 0
3 years ago
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