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2 years ago

In ΔOPQ, m∠O = (3x+12)^{\circ}(3x+12)

Mathematics

1 answer:

zaharov [31]2 years ago

6 0

Answer:

The measure of angle P is 80 degrees

Step-by-step explanation:

we know that

The sum of the interior angles in a triangle must be equal to 180 degrees

In this problem we have that

$m\angle O+m\angle P+m\angle Q=180^o$

substitute the given values

$(3x+12)^o+(4x+4)^o+(x+12)^o=180^o$

solve for x

$(8x+28)=180$

$8x=180-28$

$8x=152$

$x=19$

<em>Find the measure of angle P</em>

$m\angle P=(4x+4)^o$

substitute the value of x

$m\angle P=(4(19)+4)=80^o$

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If a polynomial function f(x)has root -2 + square root 8 and 9 what must be a factor of f(x)

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Answer:

$(x+2-\sqrt{9}) , (x-2+\sqrt{9}) ,(x-9)$

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Given that f(x) is a polynomial function.

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Since an irrational root is given a root of f(x), we find that its conjugate also should be a root of f(x)

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2 years ago

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Step-by-step explanation:

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stealth61 [152]

Answer:

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Step-by-step explanation:

So, Triangle STU and DEF are similar triangles, because their corresponding side lengths have the same ratio.

For example FD can be multiplied by 2.5 to get SU, and EF can be multiplied by 2.5 to get TU, and ED can me multiplied by 2.5 to get 15.

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Snezhnost [94]

The distance between the two points is 5.4

Explanation:

The points are (-1,-9) and (1,-4)

The distance between the two points can be determined using the formula

$d=\sqrt{\left(x_{2}-x_{1}\right)^{2}+\left(y_{2}-y_{1}\right)^{2}}$

Substituting the values in the formula, we get,

$d=\sqrt{(1+1)^{2}+(-4+9)^{2}}$

Adding the values,

$d=\sqrt{2^{2}+5^{2}}$

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Simplifying, we have,

$d=\sqrt{29}=5.4$

Thus, the distance between the two points is 5.4

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