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3 years ago

The size of the largest angle in a triangle is 3 times the size of the smallest angle.

Mathematics

2 answers:

madreJ [45]3 years ago

8 0

Answer:

Let smallest angle be :x

So, the largest angle will be:3x

And the other angle will be :x+35

According to angle sum property of triangle,

x+3x+x+35=180

5x+35=180

5x=180-35

5x=145

x=(145/5)

Therefore, x=29

So, the smallest angle =x=29

The largest angle=3x=87

And the other angle=x+35=64

prohojiy [21]3 years ago

6 0

Answer:

a = 29

b = 64

c = 87

Step-by-step explanation:

Let the angles be a (smallest), b, and c (largest).

We know that a triangle's angles must add up to 180 degrees, so we can construct the following equations.

a + b + c = 180

c = 3a

b = a +35

With some solving and substitution...

a + (a + 35) + c = 180

2a + c = 145

2a + (3a) = 145

5a = 145

a = 29

and therefore,

b = 29 + 35 = 64

c = 3(29) = 87

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Which of the following is a function equivalent to f(x) = 3(1.7)4x? (5 points) f(x) = 25.06x f(x) = 3(8.35)x f(x) = 3(8.25x) f(x

denis23 [38]

Answer:

Step-by-step explanation:

Given: f(x) = 3(1.7)4x

This can also be looked at as: f(x) = 3 × 1.7 × 4 × x

You can multiply the three values four different ways and they will all be equivalent.

f(x) = (3 × 1.7) × 4 × x = 5.1(4)x

f(x) = 3 × (1.7 × 4) × x = 3(6.8)x

f(x) = 1.7 × (3 × 4) × x = 1.7(12)x

f(x) = 3 × 1.7 × 4 × x = 20.4x

7 0

3 years ago

Read 2 more answers

Simplify. a - {4 b - [ a - (5 b - c ) + 3 c - ( a - b - 9 c )]}

Vlad1618 [11]

The answer to this should be a-8b+13c

a - {4b - [a - (5b - c) + 3c - (a - b - 9c)]}
=a - {4b - [a - 5b + c + 3c - a + b + 9c]}
=a - {4b - [- 4b+ 13c]}
=a - {4b + 4b -13c}
=a - 8b + 13c

Hope this helped :)
Have a great day

7 0

3 years ago

28. sylvia researched changes in the deer population in her state's parks during her lifetime

kifflom [539]

Using an exponential function, it is found that it will take 24 years for the current population of 4800 deer to reduce to 600.

<h3>What is an exponential function?</h3>

An exponential function is modeled by:

$y = ab^x$

In which:

a is the initial value.

b is the rate of change, as a decimal.

In this problem, considering the initial value of 4800, and that the population halves every 8 years, the equation is given by:

$A(t) = 4800\left(\frac{1}{2}\right)^{\frac{t}{8}}$

The population will be of 600 when A(t) = 600, hence:

$A(t) = 4800\left(\frac{1}{2}\right)^{\frac{t}{8}}$

$600 = 4800\left(\frac{1}{2}\right)^{\frac{t}{8}}$

$\left(\frac{1}{2}\right)^{\frac{t}{8}} = \frac{600}{4800}$

$\left(\frac{1}{2}\right)^{\frac{t}{8}} = \frac{1}{8}$

$\left(\frac{1}{2}\right)^{\frac{t}{8}} = \left(\frac{1}{2}\right)^3$

Hence:

t/8 = 3.

t = 24.

It will take 24 years for the current population of 4800 deer to reduce to 600.

More can be learned about exponential functions at brainly.com/question/25537936

#SPJ1

3 0

2 years ago

Which represents the volume of the cylinder, in cubic

11Alexandr11 [23.1K]

Answer: 300π

Step-by-step explanation: Volume=(pi)(radius^2)(height)

Volume=(pi)(5^2)(12)

V=(pi)(25)(12)

V=(pi)(300)

6 0

3 years ago

I need help on solving these types of geometry problems! Teacher said the answer is 7 but I have to show work. Thank you!

Nikolay [14]

The vertex where the two triangles touch forms a pair of vertical angles, so that the angles on opposites sides of the vertex are congruent. You're shown that two legs of both triangles are congruent. All this tells you that the two triangles are isosceles, and furthermore that they are similar because of the congruence of their "base" angles.

This means

$82^\circ=m\angle 2$

$\implies82=10x+12$

$\implies10x=70$

$\implies\boxed{x=7}$

4 0

3 years ago