1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
tatiyna
2 years ago
6

Please I need help ASAPpls explain your answer ​

Mathematics
1 answer:
USPshnik [31]2 years ago
7 0

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

You might be interested in
How wants to zoom?<br> Im bored..
VLD [36.1K]

Answer:

me please

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Help pls 25 points don’t answer if you do not know
-Dominant- [34]

Answer:

i believe it’s graph A

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
HELP PLZ IM FAILING MATH TY :'D <br> PLEASE STOP COMMENTING FAKE ANSWERS THIS IS MY REAL SCHOOL WORK
Rzqust [24]

Answer:

5cm

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Which expressions are equivalent to the expression 7(5 + m) - 8?
Akimi4 [234]

Answer:

<u>2</u><u>7</u><u> </u><u>+</u><u> </u><u>7</u><u>m</u>

Step-by-step explanation:

7(5 + m) - 8

open the bracket:

= 35 + 7m - 8 \\  = 27 + 7m

3 0
2 years ago
Answer pls I would really appreciate your help
tester [92]

Answer:

I think A

Step-by-step explanation:

srry if wrong

i hope this helps tho

3 0
3 years ago
Other questions:
  • What two steps are necessary to put this equation into standard form x2-3x+16=6x-4
    11·2 answers
  • Drag and drop numbers into the boxes so that the paired values are in a proportional relationship. x 1 5 15 25 y 0.2 1 2 3
    5·1 answer
  • Find the difference in the weights of the largest land mammal, the male African elephant (1.4×104) and the largest sea mammal th
    10·1 answer
  • Liam has 3 liters of soda. He wants to divide it up into 8 equal servings. What should be the size of each serving?
    8·1 answer
  • Can somebody help me on this one? Plz
    7·1 answer
  • Solve for x. <br><br> 30=5(x+1)
    5·2 answers
  • How do I write 2x-y=12 in slope intercept form
    7·1 answer
  • De-13m+5n-8p sustraer 7p-8m+3n
    6·1 answer
  • Over a period of 3 hours, the outside temperature changed an average of -2.25 fahrenheit per hour. select the correct sentence t
    15·2 answers
  • In football, the team that has the ball has four chances to gain at least ten yards, if
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!