All categories

3 years ago

Given m||n fine the value of x

Mathematics

1 answer:

Gnom [1K]3 years ago

4 0

They are corresponding angles, so the angles measures should be congruent to each other. Don’t mind my handwriting

You might be interested in

ABC is a tangent to the circle below. O is the centre of the circle. Work out the size of angle 0. Give reasoning to justify you

Delvig [45]

Answer:

Θ = 46°

Step-by-step explanation:

the angle between a tangent and a radius at the point of contact is 90° , so

∠ ABO = 90°

since OB = OD ( radii of circle ) then Δ BOD is isosceles and

∠ OBD = ∠ ODB = 22°

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

∠ AOB is an exterior angle of the triangle , then

∠ AOB = 22° + 22° = 44°

the sum of the 3 angles in Δ AOB = 180° , then

Θ + 44° + 90° = 180°

Θ + 134° = 180° ( subtract 134° from both sides )

Θ = 46°

6 0

1 year ago

Find the area of following rhombuses. Round your answers to the nearest tenth if<br> necessary.

polet [3.4K]

Answer:

$Area =55.4ft^2$

Step-by-step explanation:

Given

The attached rhombus

Required

The area

First, calculate the length of half the vertical diagonal (x).

Length x is represented as the adjacent to 60 degrees

So, we have:

$\tan(60) = \frac{4\sqrt 3}{x}$

Solve for x

$x = \frac{4\sqrt 3}{\tan(60)}$

$\tan(60) = \sqrt 3$

So:

$x = \frac{4\sqrt 3}{\sqrt 3}$

$x = 4$

At this point, we have established that the rhombus is made up 4 triangles of the following dimensions

$Base = 4\sqrt 3$

$Height = 4$

So, the area of the rhombus is 4 times the area of 1 triangle

$Area = 4 * \frac{1}{2} * Base * Height$

$Area = 4 * \frac{1}{2} * 4\sqrt 3 * 4$

$Area =2 * 4\sqrt 3 * 4$

$Area =55.4ft^2$

7 0

3 years ago

Plz Plz help its hard

Katena32 [7]

Answer:

Third answer! Data varies!

3 0

2 years ago

sandy had 3.8 points in the quiz game. she missed 5 questions losing 1 point each time how many points did she have at the end

telo118 [61]

Answer:

-1.2

Step-by-step explanation:

3.8-5=-1.2

lmk if this is right

hope it helped

8 0

2 years ago

Solve for x. 4(5x−20)=−20 NEED HELP ASAP

Allisa [31]

4(5x-20)=-20
20x-80=-20
20x=60
x=3

4 0

3 years ago

Read 2 more answers