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3 years ago

In triangle pqr PQ is equals to PR and angle Q is equals to 80 degree find angle p

Mathematics

1 answer:

Dmitry [639]3 years ago

6 0

Answer: ∠P= 20°

<h3>Step-by-step explanation: Well we know that the sum of a triangle always equals to 180°, so ∠P + 80 +80 = 180° </h3>

∠P + 160 = 180

Subtract 160 from both sides, 160 on the left is cancelled so that 180-160 equals 20

∠P=20°

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Given a polynomial f(x), if (x − 4) is a factor, what else must be true?

ollegr [7]

Answer:

$f(4)=0$

Step-by-step explanation:

The Remainder Theorem states that when you divide a polynomial $f(x)$ by a linear factor $(x-a)$ , where $a$ is a constant, the remainder is $f(x)$ evaluated at $x=a$

Moreover, according to the Factor Theorem, an extension of the Remainder Theorem, if the remainder of the function $f(x)$ is 0 when evaluated at $x=a$ , then $(x-a)$ is said to be a factor of the polynomial $f(x)$

Given the 2 theorems above, it follows that if $(x-4)$ is a factor of $f(x)$ , then the remainder is equal to 0 when $f(x)$ is evaluated at $x=4$

Which means $f(4)=0$

Third answer choice is correct.

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3 years ago

Read 2 more answers

The equation 6y = 30 - 8x has solutions of (b, 1) and (a, b). What are the values of a and b?

victus00 [196]

The values of $a$ and $b$ are $a = \frac{3}{2}$ and $b = 3$ , respectively.

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If we know that $(x,y) = (b, 1)$ , then the value of $b$ is:

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If we know that $(x,y) = (a, b)$ and $b = 3$ , then the value of $a$ is:

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$18 = 30-8\cdot a$

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$a = \frac{3}{2}$

The values of $a$ and $b$ are $a = \frac{3}{2}$ and $b = 3$ , respectively.

To learn more on linear functions, we kindly invite to check this question: brainly.com/question/5101300

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2 years ago

A food service in the mall prepares free samples of chicken to give out during dinner time. One hour later, the food service has

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The food service gave out 80 samples, which is 4 fewer than 70% of the total number of samples they prepared. Lets make x the total number of samples they prepared.

So lets write it as an equation

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80 = 0.7x-4

Add 4 to both sides of the equation

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3 years ago

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2 years ago

In triangle pqr PQ is equals to PR and angle Q is equals to 80 degree find angle p​

In triangle pqr PQ is equals to PR and angle Q is equals to 80 degree find angle p