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
Bingel [31]
3 years ago
15

Find the angle measures given the figure is a rhombus

Mathematics
1 answer:
IrinaK [193]3 years ago
4 0

Answer:

74°

Step-by-step explanation:

A rhombus is a quadrilateral that has its opposite sides to be parallel to be each other. This means that the two interior opposite angles are equal to each other. Since the sum of the angles of a quadrilateral is 360°.

According to the triangle, since one of the acute angle is 32°, then the acute angle opposite to this angle will also be 32°.

The remaining angle of the rhombus will be calculated as thus;

= 360° - (32°+32°)

= 360° - 64°

= 296°

This means the other two opposite angles will have a sum total of 296°. Individual obtuse angle will be 296°/2 i.e 148°

This means that each obtuse angles of the rhombus will be 148°.

To get the unknown angle m°, we can see that the diagonal cuts the two obtuse angles equally, hence one of the obtuse angles will also be divided equally to get the unknown angle m°.

m° = 148°/2

m° = 74°

Hence the angle measure if m(1) is 74°

You might be interested in
On may 31, the cash account of bottle's r us had a normal balance of $5,000. during may, the account was debited for a total of
liq [111]
Since there are no special paameters mentioned to solve the problem, algebra will be employed.

What we have so far:
Total debit = $<span>12,200
Total credit = $</span><span>11,500
Total transactions = </span>Total credit - Total debit<span>
Final balance = $</span><span>5,000

To solve:
Let us use the working equation: Initial Balance = Final Balance + |Total Transactions|
Initial Balance  =  </span>$5,000 + |$11,500 - $12,200|
Initial Balance  =  $5,000 + |-$700| <--- remember that -$700 is an absolute value which makes it positive.
Initial Balance  =  $5,700 <--- What we are looking for.

Checking:
Early May: $5,700
Around May : $5,700 - Total Debit (Assumption)
Around May : $5,700 - $12,200 = -$6,500 (Assumption)
Around May: -$6,500 + Total Credit (Assumption)
Around May: -$6,500 + $11,500 = $5,000 (Assumption)
31st of May: $5,000 <--- Proven

∴The answer is: $5,700, the initial balance at the beginning of May. 

4 0
3 years ago
How many 5-digit numbers can be formed using the digits 0, 1, 2, 3, 4, 5, 6, if repetition of digits is not allowed?
shepuryov [24]

answer

c) 2520

Step-by-step explanation:

1st digit 1 of 7

2nd digit 1 of 6

3rd digit 1 of 5

4th digit 1 of 4

5th digit 1 of 3

7*6*5*4*3=2520 combination

8 0
2 years ago
A physics student is conducting an experiment of a falling object. he drops a baseball from the top of a building and records th
Hitman42 [59]
<span>{(1, 16), (2, 64), (3, 144), (4, 256), (5, 400)}  Hope this helps </span>
8 0
3 years ago
Solve the following inequality for w 8w+8&gt;-10w-5
Vlad [161]

Answer:

Step-by-step explanation:

8w+8 > -10w-5

18w + 8 > -5

18w > -13

w > -13/18

8 0
3 years ago
The mean vitamin C level for 20 dogs was 7.6 milligrams per liter, with a standard deviation of 2.1 milligrams per liter.
SpyIntel [72]

Answer:  The mean increases.

Step-by-step explanation:

The value of 0.9 mg/L is very low compared to a means of 7.6 mg/L with a standard deviation of 2.1 mg/L.  It seems as though it is an outlier that is suffiently different from the others, and probably should be dropped from the data set.  That would do 2 things:  1) the stabdard deviation will likely decrease, indicating a more confident data set, and 2) the mean vitamin C level will increase.

5 0
2 years ago
Other questions:
  • Help me with this homework plz.
    12·2 answers
  • Mario collected data from his classmates on their favorite subject among math, science, english and history. The data is display
    14·1 answer
  • Find the numerical value of cosh (ln5)
    10·1 answer
  • Triangle MNP is the image of triangle JKL after a 120 degrees counterclockwise rotation about point Q. If the measure of angle L
    7·1 answer
  • Vince needed 5/8 of a package of marbles for each gift bag. If he had to make 5 gift bags, how many packages of marbles did Vinc
    5·1 answer
  • What is the point if of origin in a number line
    15·1 answer
  • Kendyl started reading a new book over the weekend. She was able to read 8 pages in the 20 minutes before dinner.at this rate ho
    14·1 answer
  • Mr. Zhou surveyed his 25 students to find out how much time they spent doing homework each week. The results of his survey are s
    13·2 answers
  • Emma's sister is nine years older then Emma. Their combined ages add up to 49. How old is Emma
    9·1 answer
  • Which of these can help you visualize data? Select all that apply.
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!