All categories

2 years ago

Find the value of x and each angle if m angle SOP= (7y-2) and m angle SOR = (5y+14)

Mathematics

1 answer:

Semmy [17]2 years ago

5 0

Answer:

x = 14

m∠SOP = (7x - 2)° = 96°

m∠SOR = (5x + 14) = 84°

Step-by-step explanation:

`From the given picture,

Angle SOP and angle SOR are the linear pairs.

Therefore, sum of these angles will be equal to to 180°.

m∠SOP + m∠SOR = 180° -----(1)

Since, m∠SOP = (7x - 2)° and m∠SOR = (5x + 14)°

[There is a misprint in this question. There should be x in place of y in the measures of the angles]

By substituting these values in the equation (1),

(7x - 2) + (5x + 14) = 180

12x + 12 = 180

12x = 180 - 12

12x = 168

x = $\frac{168}{12}$

x = 14

m∠SOP = (7x - 2)° = 96°

m∠SOR = (5x + 14) = 84°

You might be interested in

5. Classify each triangle by its angle and sides

PIT_PIT [208]

Answer:

5 is D

6 is C

Step-by-step explanation:

Define:

Equilateral - All sides and angles are congruent

Isosceles: Two congruent sides and two congruent angles

Scalene: No congruent sides or angles

Right triangle: A triangle with a right angle ( note that a right angle has a measure of 90 degrees )

obtuse triangle: A triangle with an obtuse angle ( obtuse angles have a measure of more than 90 degrees. )

Acute triangle : A triangle with an acute angle ( an acute angle has a measure of less than 90 degrees )

Answer:

the triangle shown in # 5 has a right angle and 2 congruent sides and angles

Therefore the triangle in #5 is a right isosceles

The triangle shown in #6 has an angle with a measure that is more than 90 degrees and have no congruent sides or angles therefore the triangle in #6 is an obtuse scalene.

3 0

2 years ago

Select the correct answer.

anygoal [31]

Answer:

B: $c(3c^2-4)$

Step-by-step explanation:

1. Substitute $1$ for c: $(24^6-32^4)/(8^3)$

2. Solve substitution: $-1$

3. Compare $-1$ to calculated answers when $c=1$

4. $c(3c^2-4)$ when $c=1$ is $-1$

6 0

2 years ago

Find a third degree polynomial function of the lowest degree that has the zeros below and whose leading coefficient is one.

Tanzania [10]

Answer:

The polynomial function of the lowest degree that has zeroes at -1, 0 and 6 and with a leading coefficient of one is $p(x) = x^{3}-5\cdot x^{2}-6\cdot x$ .

Step-by-step explanation:

From Fundamental Theorem of Algebra, we remember that the degree of the polynomials determine the number of roots within. Since we know three roots, then the factorized form of the polynomial function with the lowest degree is:

$p(x) = (x-r_{1})\cdot (x-r_{2})\cdot (x-r_{3}) = 0$ (1)

Where $r_{1}$ , $r_{2}$ and $r_{3}$ are the roots of the polynomial.

If we know that $r_{1} = -1$ , $r_{2} = 0$ and $r_{3} = 6$ , then the polynomial function in factorized form is:

$p(x) = (x+1)\cdot x \cdot (x-6)$ (2)

And by Algebra we get the standard form of the function:

$p(x) = x\cdot (x+1)\cdot (x-6)$

$p(x) = x\cdot (x^{2}-5\cdot x -6)$

$p(x) = x^{3}-5\cdot x^{2}-6\cdot x$ (3)

The polynomial function of the lowest degree that has zeroes at -1, 0 and 6 and with a leading coefficient of one is $p(x) = x^{3}-5\cdot x^{2}-6\cdot x$ .

6 0

2 years ago

What is the y-coordinate for the solution to the system of equations?

Marina86 [1]

Answer: i took the test and the answer was

-5

Step-by-step explanation: Good luck!

7 0

1 year ago

For a school play, the teacher asked the class to set up chairs in 20 rows with 25 chairs in each row. After setting up all the

pantera1 [17]

20 rows * 25 chairs=500 chairs
500-5=495
Answer=495