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
nexus9112 [7]
3 years ago
15

In kite ABCD, mZBAE = 28º and mZBCE = 58°. Find mZABE. B E А С D mLABE =

Mathematics
1 answer:
Digiron [165]3 years ago
3 0

Answer:

m∠ABE = 62°

Step-by-step explanation:

Since, the given quadrilateral is a kite, diagonals will intersect at 90°.

Therefore, m∠AEB = m∠CEB = 90°

m∠BAE = 28° [Given]

m∠BCE = 58° [Given]

From ΔABE,

m∠BAE + m∠BEA + m∠ABE = 180°

28° + 90° + m∠ABE = 180°

m∠ABE = 180° - 118°

             = 62°

Therefore, measure of angle ABE = 62°.

You might be interested in
For what values of the variables are the following expressions defined? 1. 5y+2 2. 18/y 3. 1/x+7 4. 2b/10−b Example: X>7
Serga [27]

Answer:

1. All real numbers

2. All real numbers except y = 0

3. All real numbers except x = -7

4. All real numbers except b = 10

Step-by-step explanation:

For any function to be defined at a particular value, it should not be <em>approaching to a value </em>\infty<em> or it should not give us the </em>\frac{0}{0}<em> (zero by zero) form </em> when the input is given to the function.

The value of function will depend on the denominator.

Now, let us consider the given functions one by one:

1. 5y+2

Here denominator is 1. So, it can not attain a value \infty or \frac{0}{0}<em> (zero by zero) form </em>

So, for all real numbers, the function is defined.

2.\ \dfrac{18}{y}

At y = 0, the value

At\ y =0,  \dfrac{18}{y} \rightarrow \infty

So, the given function is <em>defined for all real numbers except y = 0</em>

<em></em>

<em></em>3.\ \dfrac{1}{x+7}<em></em>

Let us consider denominator:

x + 7 can be zero at a value x = -7

At\ x =-7,  \dfrac{1}{x+7} \rightarrow \infty

So, the given function is <em>defined for all real numbers except x = -7</em>

<em></em>

4.\ \dfrac{2b}{10-b}

Let us consider denominator:

10-b can be zero at a value b = 10

At\ b =10,  \dfrac{2b}{10-b} \rightarrow \infty

So, the given function is <em>defined for all real numbers except b = 10</em>

<em></em>

7 0
3 years ago
Expand and simplify (5x+2)(2x-3)
Snowcat [4.5K]

Answer:

10x^2 - 11x - 6

Step-by-step explanation:

(5x+2)(2x-3)

= 10x^2 - 15x + 4x - 6

= 10x^2 - 11x - 6

3 0
2 years ago
Read 2 more answers
Our club has 25 members, and wishes to pick a president, secretary, and treasurer. In how many ways can we choose the officers,
Rus_ich [418]

Answer:

13800

Step-by-step explanation:

The order of the members is important (because each selected member will receive a different position), thus we then need to use the definition of permutation.

There are 25 members, of which 3 are selected.

\begin{array}{l}n=25 \\r=3\\end{array}

Evaluate the definition of a combination:

P(25,3)=\frac{25 !}{(25-3) !}=\frac{25 !}{22 !}=25 \cdot 24 \cdot 23=13800

8 0
3 years ago
What's sixty nine thousand one hundred eight written in standred form
Vadim26 [7]
The answer is 69,108
3 0
3 years ago
PLS HELP ASAP ILL GIVE BRAINLKEST THANKS
Julli [10]

Answer:

D. (6,3)

Step-by-step explanation:

To the find which point can be located on the line you will have to find the point-slope form

The formula for point-slope form is y=mx+b

m is slope

b is y-intercept

Since we already know the slope we can just replace it:

y=1/2x+b

Now we need to find the y-intercept

We can do this by distributing them with (4,2)

As you remember in point the digits are in x and y

(x,y) so we can tell that 4 is x and 2 is y

Now we can substitute x with 4 and y with 2

2=1/2(4)+b

Multiply 1/2 and 4

which is 2

2=2+b

Thus b=0

So the slope intercept form is y=1/2x

Now we can substitute the other points:

For (5,2):

2=5/2

Which is incorrect since 2 does not equal 5/2

For (2,3):

3=1/2(2)

Which is

3=1

Which is incorrect since 3 does not equal 1

For (3,4)

4=1/2(3)

Which is

4=3/2

Which is incorrect since 4 does not equal 3/2

For (6,3)

3=1/2(6)

Which is

3=3

Which is correct since 3 does equal to 3

Hope this helps!

8 0
2 years ago
Other questions:
  • Cedric buys songs at a store that charges $1.20 per song. Shumeka buys songs at a different store. The table shown here gives th
    9·2 answers
  • A company can produce 300 ballpoint pens and 550 gel pens each hour . each weekday,the company produces ballpoint pens for 5 hou
    5·1 answer
  • Name the line of reflection used to map each pre-image to its image.<br> Please help
    5·1 answer
  • The 50th term of an arithmetic sequence is 86 and the common difference is 2.  Find the first three terms of the sequence.
    13·1 answer
  • Graph the function f(x) = (x + 1)(x – 5). Use the drop-down menus to complete the steps needed to graph the function. Identify t
    5·2 answers
  • Help me plz I don't know the choices it could be
    12·1 answer
  • PLS HELP ASAP PLSSS IT DETECTS IF ITS RIGHT OR WRONG HELPPP
    13·1 answer
  • Whats the y intercept of y=4x -3
    14·2 answers
  • Help me with these 2D stuff please, it should be simple and NO LINKS
    5·1 answer
  • Find an equation of the line perpendicular to y = - 2x + 2
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!