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3 years ago

15

What is the value of x

1 answer:

Allushta [10]3 years ago

4 0

Answer:

x = 98

Step-by-step explanation:

the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

x is an exterior angle of the triangle , then

x = 53 + 45 = 98

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In order to sustain itself in its cold habitat, a Siberian tiger requires 25 pounds of meat per day.

emmainna [20.7K]

Answer:

the answer is 750 because there are 30 days in the month of april and you just need to multiply it by how much meat they need to have per day.

Step-by-step explanation:

30 x 25 = 750

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3 years ago

If you know this you’re very smart!

Darya [45]

Answer:

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Step-by-step explanation:

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3 years ago

to the nearest tenth what is the length of the hypotenuse of an isocoles right angle with a leg 7 3 inches

andrew11 [14]

If the two lengths are 7 and 3, then I believe the length of the hypotenuse would be approximately 7.62.

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3 years ago

Larry is measuring the volume of a pitcher. He uses a measuring cup that holds 2 cups and fills the measuring cup 7.5 times to f

VikaD [51]

Given,

The amount of liquid hold by measuring cup is 2 cups.

The number of times measuring cup used to fill the pitcher.

Required:

The amount of liquid pitcher hold.

The amount of liquid hold by the pitcher is,

$Amount\text{ of liquid = number of times measuring cups used}\times amount\text{ of liquid hold by measuring cup}$

Substituting the values.

$\begin{gathered} Amount\text{ of liquid =7.5}\times2\text{ cups} \\ =15\text{ cups} \end{gathered}$

Hence, the pitcher can hold 15 cups.

4 0

1 year ago

Consider the quadratic function f(x) = -x^2 + 1x + 12. Determine the following: (enter all numerical answers as integers, fracti

vovikov84 [41]

Answer and Explanation:

Given : The quadratic function $f(x)=-x^2+x+12$

To find : Determine the following ?

Solution :

The x -intercept are where f(x)=0,

So, $-x^2+x+12=0$

Applying middle term split,

$-x^2+4x-3x+12=0$

$-x(x-4)-3(x-4)=0$

$(x-4)(-x-3)=0$

$x=4,-3$

The x-intercepts are (4,0) and (-3,0).

The smallest x-intercept is x=-3

The largest x-intercept is x=4

The y -intercept are where x=0,

So, $f(0)=-(0)^2+0+12$

$f(0)=12$

The y-intercept is y=12.

The quadratic function is in the form, $y=ax^2+bx+c$

On comparing, a=-1 , b=1 and c=1 2

The vertex of the graph is denote by (h,k) and the formula to find the vertex is

For h, The x-coordinate of the vertex is given by,

$h=-\frac{b}{2a}$

$h=-\frac{1}{2(-1)}$

$h=\frac{1}{2}$

For k, The y-coordinate of the vertex is given by,

$k=f(h)$

$k=-h^2+h+12$

$k=-(\frac{1}{2})^2+\frac{1}{2}+12$

$k=-\frac{1}{4}+\frac{1}{2}+12$

$k=\frac{-1+2+48}{4}$

$k=\frac{49}{4}$

The vertex of the function is $(h,k)=(\frac{1}{2},\frac{49}{4})$

The x-coordinate of the vertex i.e. $x=-\frac{b}{2a}$ is the axis of symmetry,

So, $x=-\frac{b}{2a}=\frac{1}{2}$ (solved above)

The axis of symmetry is $x=\frac{1}{2}$ .

4 0

4 years ago