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5 days ago

Two parallel lines are crossed by a transversal. What is the value of x ?

Mathematics

2 answers:

PIT_PIT [3.9K]5 days ago

8 0

Response:

Detailed explanation:

tester [3.9K]5 days ago

4 0

Answer:

Angle x = angle 115°.

Step-by-step explanation:

Given: We have two parallel lines intersected by a transversal.

To find: The value of x.

Solution: Since two parallel lines are intersected by a transversal, corresponding angles, which are a pair lying on the same side of the transversal—one being on the interior and the other on the exterior—are equal.

Thus, angle x = angle 115, being corresponding angles.

Therefore, angle x = angle 115.

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If (a^3+27)=(a+3)(a^2+ma+9) then m equals

Inessa [3907]

Answer:

m = - 3

Step-by-step explanation:

a³ + 27 can be recognized as a sum of cubes, which factors generally as

a³ + b³ = (a + b)(a² - ab + b²). Therefore:

a³ + 27

= a³ + 3³

= (a + 3)(a² - 3a + 9).

By comparing a² - 3a + 9 to a² + ma + 9, we find that

m = - 3.

7 0

3 days ago

give me 3 pictures showing the application of the sum and the product of the roots of quadratic equations in real life . describ

babunello [3635]

Quadratic equations find their application in various real-world scenarios such as: sports, bridges, projectile motion, the curvature of bananas, and so on.

Here are three images representing real-world instances of quadratics:

Example 1: A cyclist travels along a parabolic trajectory to leap over obstacles.

Example 2: A person throws a basketball towards the hoop, moving in a gently upward path described by a quadratic curve.

Example 3: A football player kicks the ball upward, which follows a quadratic path as it travels a distance.

4 0

4 days ago

Read 2 more answers

A solid oblique cone with a slant length of 17 units is placed inside an empty cylinder with a congruent base of radius 8 units

PIT_PIT [3919]

Step $1$

Calculate the volume of a cylinder

We understand that

the volume of a cylinder can be expressed as

$V1=\pi r^{2} h$

In this scenario

$r=8\ units \\ h=15\ units$

Insert the values

$V1=\pi 8^{2} 15$

$V1=960\pi\ units^{3}$

Step $2$

Calculate the volume of a cone

We are aware that

the volume of a cone equals

$V2=\frac{1}{3}\pi r^{2} h$

In this example

$r=8\ units \\ l=17\ units \\ h=?$

Use the Pythagorean Theorem to determine the height h

$h^{2} =l^{2}-r^{2}\\ h^{2} =17^{2}-8^{2}\\ h^{2}=225\\ h=15\ units$

$V2=\frac{1}{3}\pi 8^{2} 15\\ \\ V2=320\pi \ units^{3}$

Step $3$

Calculate the empty volume inside the cylinder

$V1-V2=960\pi -320\pi =640\pi \ units^{3}$

Thus

the final result is

the empty volume inside the cylinder is $640\pi \ units^{3}$

6 0

8 days ago

Read 2 more answers

PLEASE HELP! In a word processing document or on a separate piece of paper, use the guide to construct a two column proof provin

babunello [3635]

I NEED ASSISTANCE! Please prepare a two-column proof in a word processing document or on paper, using the guide to demonstrate that triangle RST is congruent to triangle RSQ, provided that RS is perpendicular to ST, RS is perpendicular to SQ, and ∠STR is congruent to ∠SQR. Hand in the complete proof to your teacher.

Given:
RS ⊥ ST
RS ⊥ SQ
∠STR ≅ ∠SQR

Prove:
△RST ≅ △RSQ