If the the area of a bedroom is 90 square feet what is the length and width

Please I need help ASAP<br>pls explain your answer

USPshnik [31]

Answer:

47.62 cm

Step-by-step explanation:

ABCD is a rhombus. Each side measures 15 cm.

m<A = 60°.

Here are some properties of a rhombus:

Opposite angles of a rhombus are congruent.

m<C = m<A = 60°

m<ADC = m<ABC

The sum of the measures of the interior angles of a quadrilateral is 360°.

The diagonals are perpendicular bisectors of each other.

m<A + m<C + m<ADC + m<ABC = 360°

60° + 60° + 2m<ADC = 360°

2m<ADC = 240°

m<ADC = 120°

Each diagonal of a rhombus bisects a pair of congruent, opposite angles.

m<ADB + m<CDB = m<ADC

m<ADB = m<CDB

m<ADB + m<ADB = 120°

m<ADB = 60°

Triangle ABD had two angles, <A and <ADB, that measure 60°. Therefore, the third angle, <ABD also measures 60°. That makes triangle ABD an equilateral triangle.

Draw segment AT.

T is the midpoint of BD. The segment AT is the perpendicular bisector of segment BD. Triangle ATD is a 30-60-90 triangle.

Using the ratio of the lengths of the sides of a 30-60-90 triangle, we can calculate the length of AT which is the radius of circle A.

TD : AT : AD

1 : √3 : 2

AD = 15 cm

TD = AD/2

AT = √3 × TD

AT = (AD√3)/2

AT = 7.5√3 = 12.99

AQ = 12.99

perimeter = QD + PB + m(arc)PTQ + BC + CD

perimeter = (15 - 12.99) + (15 - 12.99) + 60°/360° × 2π(12.99) + 15 + 15

perimeter = 47.62

Answer: perimeter = 47.62 cm

7 0

3 years ago

Math help please show work

saw5 [17]

Answer:

You can measure the area of the yard but measuring the length and width and then multiplying. Then you can divide by the amount of sod that is used to cover to see how many bags that need to be bought.

Step-by-step explanation:

This should be good :)

pls mark brainliest:)

3 0

3 years ago

Translations, rotations, and reflections are rigid transformations. What can you conclude about the measures of sides and angles

attashe74 [19]

Answer:

After a translation, the measures of the sides and angles on any triangle would be the same since translation only involves changing the coordinates of the vertices of the triangle.

After a rotation, the measures of the sides and angles of a triangle would also be the same. Similar to translation, the proportion of the triangle is unchanged after a rotation.

After a reflection, the triangle's sides and angles would still be the same since reflection is a rigid transformation and the proportion of the sides and angles are not changed.

Step-by-step explanation:

Rigid transformations, i.e. translations, rotations, and reflections, preserve the side lengths and angles of any figure. Therefore, after undergoing a series of rigid transformations, the side lengths and angle measures of any triangle will be the same as the original triangle, generally speaking, in another position.

4 0

3 years ago

BRAINLIEST PLUS 22 POINTS

Vika [28.1K]

Hi there!

Angles that are complementary add up to 90. We know that in order to find the value of x, we'll need to create an equation. This equation would be (x + 15) + 48 = 90. This is because, together, the two angles must add up to 90.

ANSWER:
D - (x + 15) + 48 = 90

Hope this helps!! :)
If there's anything else that I can help you with, please let me know!

6 0

3 years ago

What are the domain and range of f(x) = 2|x - 4|?

exis [7]

Answer:

D : All real numbers

R : (-∞,∞)

Step-by-step explanation:

When your x is in a set of absolute value sign, any number can work for x.

As with Domain, you can do the same with range. In this case, you can go from both positive infinity and negative infinity and you will always get a real number solution.

6 0

3 years ago