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3 years ago

If the angles of a triangle are 2x+1, x, and x+15 what are the measures

Mathematics

1 answer:

sammy [17]3 years ago

3 0

Answer:

The three angles of the triangle are 41°, 56° and 83°.

Step-by-step explanation:

The three angles of a triangle are given by 2x + 1, x and x + 15.

Now, we know the property of triangle, that 180° is the sum of all the angles of a triangle.

Hence, (2x + 1) + x + (x + 15) = 180°

⇒ 4x + 16 = 180

⇒ 4x = 164

⇒ x = 41°

So, 2x + 1 = 83° and x + 15 = 56°

Therefore, the three angles of the triangle are 41°, 56° and 83°.

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Part 1: What mistake did AJ make in the graph?

grigory [225]

Answer:

Part 1) AJ drawn the parabola opening upwards, instead of drawing it opening downwards

Part 2) see the explanation

Step-by-step explanation:

Part 1) What mistake did AJ make in the graph?

we have

$f(x)=-(x+2)^2-1$

This is the equation of a vertical parabola written in vertex form

The parabola open downward (because the leading coefficient is negative)

The vertex represent a maximum

The vertex is the point (-2,-1)

therefore

AJ drawn the parabola opening upwards, instead of drawing it opening downwards

Part 2) Evaluate any two x-values (between -5 and 5) into AJ's function. Show your work. How does your work prove that AJ made a mistake in the graph?

take the values x=-4 and x=4

For x=-4

substitute the value of x in the quadratic equation

$f(x)=-(-4+2)^2-1\\f(x)=-5$

For x=4

substitute the value of x in the quadratic equation

$f(x)=-(4+2)^2-1\\f(x)=-37$

According to AJ's graph for the value of x=-4 the function should be positive, however it is negative and for the value of x=4 the function should be positive and the function is negative

therefore

AJ made a mistake in the graph

8 0

3 years ago

Using a Simple Radom Sample of 500 rental property owners in Washington State, a 95% confidence interval estimate of the proport

Feliz [49]

Answer:

Hence the correct option is option d.

Explanation:

We can 95% confident that between 28.1% and 39.2% of all rental property owners own a property by the water.

Here correct option for interpretation of the 95% confidence interval. The remaining options are about probabilities and sample proportions.

3 0

3 years ago

14% of 60 million gallons is how many gallons?

vichka [17]

Answer:

840,000,0

Step-by-step explanation:

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3 years ago

What is the coefficient of -7x-3x^2+5 A~7 B~3 C~-3 D~-7

Setler79 [48]

C...................):$;$:$;&::’your welcome

5 0

3 years ago

I need all help possible.

Leviafan [203]

So there are 52 horses
12 of them are white
how many are black?
52 - 12 = 40
there are 40 black horses
12 white horses to 40 black horses
12:40
12/40

Hope this helps :)

5 0

3 years ago