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
Leviafan [203]
3 years ago
15

Find the value of x in each case.

Mathematics
1 answer:
Kisachek [45]3 years ago
6 0

Answer:

<em>x = 13 deg</em>

Step-by-step explanation:

As shown in the picture, you have:

CF and CD are perpendicular

=> angle BCF = 90 deg

=> angle BCE + angle ECF = angle BCF = 90 deg

or angle BCE + 64 = 90

=> angle BCE = 90 - 64 = 26 deg

Point A, B, and C are collinear

=> (angle ABE) + angle CBE = 180 deg  (1)

Otherwise, as the property of the sum of 3 angles in a triangle:

(angle BEC + angle BCE) + angle CBE = 180 deg  (2)

From (1) and (2) you would have:

angle ABE = angle BEC + angle BCE

or

3x = 26 + x

<=> 3x -  x = 26

<=> 2x = 26

<=> x = 26/2

<=> x = 13

=> angle BEC = x = 13 deg

=> angle ABE = 3x = 3(13) = 39 deg

Hope this helps!

You might be interested in
Find all real solutions of this equation to answer the question.<br> (6 – 2x)(3 – 2x)x = 40
icang [17]

Answer:

\huge\green{ \mid{ \underline{ \overline{ \tt  ♡ ANSWER ♡ }} \mid}}

x = 40

(6 - 2x)(3 - 2x) \\  =( 6 - 2 \times 40)(3 - 2 \times 40) \\  = (6 - 80)(3 - 80) \\  =  - 74 \times  - 77 \\  = 5698

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

\huge\blue{ \mid{ \underline{ \overline{ \tt ꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐ }} \mid}}

6 0
3 years ago
Read 2 more answers
A home improvement store rents vacuums at $45 for the first day and $22 for each day thereafter. If y represents the total cost
Gwar [14]

Answer with explanation:

Amount charged by Home Improvement Store for first day=$ 45

Amount charged per day after first day = $ 22

y= Total cost

x=Number of days Rented

Writing the above statement in terms of function

→y=1×$45 +(x-1)×$22

→→Total amount charged(y)=45+22x-22

→→→y=22x+23

is, the required function.

7 0
3 years ago
Read 2 more answers
there are 500 tickets for sale in A raffle. tickets cost $3 each, or $20 for A book of 10. All 500 tickets were sold, and $1350
KATRIN_1 [288]

Answer:

67 books of tickets

Step-by-step explanation:

-To get this, you just divide 1,350 by 20, and you will get 67!

5 0
3 years ago
Read 2 more answers
V= 2i +9j Find ||9v||
Korvikt [17]

Answer:

9\sqrt{85}

Step-by-step explanation:

9v = 9(2i + 9j) = 18i + 81j

|9v | = \sqrt{18^2+81^2} = \sqrt{x6885} = 9\sqrt{85}


8 0
3 years ago
Hometown​ Grocery, Inc. has 50 comma 000 shares of common stock outstanding and 4 comma 000 shares of preferred stock outstandin
Anit [1.1K]

Answer:

$0.36 per share

Step-by-step explanation:

The data provided in the question are as follows

Common stock outstanding = 50,000 shares

Preferred stock outstanding = 4,000 shares

Par value of common stock = $4

Interest rate and par value of preferred stock = 9% and $100

Total dividend payment declared = $54,000

So, the amount of dividend for each share of common stock is

= (Total dividend payment declared - Preferred stock outstanding × interest rate × par value) ÷ (common stock outstanding)

= ($54,000 - 4,000 × $100 × 9%) ÷ (50,000 shares)

= ($54,000 - $36,000) ÷ (50,000 shares)

= $18,000 ÷ 50,000 shares

= $0.36 per share

7 0
3 years ago
Other questions:
  • Classify the expression:
    11·1 answer
  • You can tell if a table is linear by looking at how X and Y change. If, as X increases by 1, Y increases by a constant rate, the
    6·1 answer
  • I don’t know how to go about answering this, please help.
    12·1 answer
  • potassium is a metal and chlorine is a nonmetal. if these two elements were to bond, they would form a(n) ionic compound covalen
    5·1 answer
  • An article bought for rs.800 is sold for 5/4 of the cost price. Find the profit percentage​
    15·1 answer
  • Can someone help me plz
    9·2 answers
  • WILL MARK BRAINLIEST
    9·1 answer
  • (13m^3n)(5m^2n^2)<br><br> :)
    8·1 answer
  • If the hypotenuse is 20 and one of the legs is 12, what is the length of the missing leg?
    13·2 answers
  • Help me out please i need this
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!