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
astra-53 [7]
3 years ago
7

Help please!!! Thank you

Mathematics
1 answer:
Anna11 [10]3 years ago
6 0

Answer: ∠ABE=20°

Step-by-step explanation:

∵ AB=BC

∴ ΔABC is a isosceles triangle

∵ ∠A=30

∴ ∠C=30

∵ The interior angle sum of triangle is 180°

∵ ∠A+∠B+∠C=180

    30+∠B+30=180

           ∠B+60=180

                  ∠B=120 (∠ABC)

∵ ∠EBD+∠ABE+∠ABC=linear pair

∴∠EBD+∠ABE+∠ABC=180°

                  4x+2x+120=180

                        6x+120=180

                                6x=60

                                  x=10

∠ABE=2x=2(10)=20°

Hope this helps!! :)

Please let me know if you have any question

You might be interested in
How do you do this question?
Lena [83]

Step-by-step explanation:

The Taylor series expansion is:

Tₙ(x) = ∑ f⁽ⁿ⁾(a) (x − a)ⁿ / n!

f(x) = 1/x, a = 4, and n = 3.

First, find the derivatives.

f⁽⁰⁾(4) = 1/4

f⁽¹⁾(4) = -1/(4)² = -1/16

f⁽²⁾(4) = 2/(4)³ = 1/32

f⁽³⁾(4) = -6/(4)⁴ = -3/128

Therefore:

T₃(x) = 1/4 (x − 4)⁰ / 0! − 1/16 (x − 4)¹ / 1! + 1/32 (x − 4)² / 2! − 3/128 (x − 4)³ / 3!

T₃(x) = 1/4 − 1/16 (x − 4) + 1/64 (x − 4)² − 1/256 (x − 4)³

f(x) = 1/x has a vertical asymptote at x=0 and a horizontal asymptote at y=0.  So we can eliminate the top left option.  That leaves the other three options, where f(x) is the blue line.

Now we have to determine which green line is T₃(x).  The simplest way is to notice that f(x) and T₃(x) intersect at x=4 (which makes sense, since T₃(x) is the Taylor series centered at x=4).

The bottom right graph is the only correct option.

3 0
3 years ago
A student says that the​ x-intercept of a line is ​(0,-10,​). Is the student​ correct? Explain.
nataly862011 [7]

Answer:

Yes, the student is correct

Step-by-step explanation:

Given

(0,-10)

Required

Does it represent the x intercept

At the x intercept, the value of x is 0.

So, the function (x,y) becomes (0,y)

(0,-10) can be compared to (0,y)

Hence, the student is correct

5 0
2 years ago
Estimate the product of 79.623 times 4.83
r-ruslan [8.4K]
It would be 384.58, or 384.57909
4 0
3 years ago
A man ears $15.50 per hour with time and a half for overtime and he worked 46 hours during a recent week. Find his gross pay for
irina [24]

Answer:

525267262525226

Step-by-step explanation:

594944+757548484-848484%

6 0
3 years ago
Which of the following is a solution to 2cos^2x– 2 = 0 ?
Sphinxa [80]

Answer:

A and C

Step-by-step explanation:

Given

2cos²x - 2 = 0 ( add 2 to both sides )

2cos²x = 2 ( divide both sides by 2 )

cos²x = 1 ( take the square root of both sides )

cos x = ± \sqrt{1} = ± 1

cos x = 1 ⇒ x = cos^{-1}(1) = 0°

cos x  = - 1 ⇒ x = cos^{-1}(- 1) = 180°

8 0
3 years ago
Read 2 more answers
Other questions:
  • What trait do animals and protists have in common? A. both animals and protists are sometimes made up of many cells B. both anim
    9·1 answer
  • How many inches are in 20ft
    10·2 answers
  • Please help!!!!!!!!!!!!!
    12·2 answers
  • 1. Find the value of the expression.<br>6 = 4[3(5 - 8) + 6] + 7​
    8·1 answer
  • {[3 (20 + 4 + 5)] + 35 - 30) - 40
    13·2 answers
  • Need the answer... please help
    7·1 answer
  • For a triangle with length of its sides of 5, 13, and 14, determine if it is a right triangle.
    15·1 answer
  • Can someone help me with Ratios and Proportions? I’m really struggling for Geometry
    5·1 answer
  • Emily is a songwriter who collects royalties on her songs whenever they are played in
    12·1 answer
  • Write 3.19 as a ratio of two integers.<br><br><br> Enter your answer as a reduced improper fraction
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!