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
Naya [18.7K]
3 years ago
7

Find the value of x in each case. PLEASE HELP

Mathematics
1 answer:
Serhud [2]3 years ago
8 0

Answer:

x = 23

Step-by-step explanation:

∠ ABE = ∠ BEF = 4x ( alternate angles )

Since DBF is a straight line then the 3 angles sum to 180°, that is

x + 4x + 65 = 180

5x + 65 = 180 ( subtract 65 from both sides )

5x = 115 ( divide both sides by 5 )

x = 23

You might be interested in
The area of the conference table in Mr. Nathan’s office must be no more than 175 ft2. If the length of the table is 18 ft more t
valentina_108 [34]
The answer is  0 < x <span>≤ 7 
</span>
First, we know that width =  x
Which means that length = x +18

So, the possible equation for the Table's area is

X (X + 18)  ≤ 175

X^2 + 18x - 175  <span>≤ </span>0

Next, we need to calculate is by using complete square method
x^2 + 18x + 81 <span>≤ 175 + 81

(x + 9)^2 </span><span>≤ 256

|x + 9| </span><span>≤ sqrt(256)

|x + 9| </span><span>≤ +-16

-16 </span>≤ x + 9 <span>≤ 16

</span>-16 - 9 ≤ x <span>≤ 16 - 9

</span>-25 ≤ x <span>≤ 7

Since the width couldn't be negative, we can change -25 with 0,

so it become
</span> 0 < x ≤ 7 
7 0
3 years ago
Which is a multiple of 15?<br>a.1<br>b.5<br>c.h<br>d.15
lakkis [162]
15 is you answer sir. the multiples are 15,30,45,60,75<span>,90,105,120,135,150,165,180,195,210,225,240,255,270,285,300,315</span>
4 0
3 years ago
Read 2 more answers
PLEASE HELP!!! I will give brainliest pleasee help. each question has to be solved, there are no options for answers.
Juliette [100K]

The intersecting secant theorem states the relationship between the two intersecting secants of the same circle. The given problems can be solved using the intersecting secant theorem.

<h3>What is Intersecting Secant Theorem?</h3>

When two line secants of a circle intersect each other outside the circle, the circle divides the secants into two segments such that the product of the outside segment and the length of the secant are equal to the product of the outside segment other secant and its length.

a(a+b)=c(c+d)

1.)

6(x+6) = 5(5+x+3)

6x + 36 = 25 + 5x + 15

x = 4

2.)

4(2x+4)=5(5+x)

8x + 16 = 25 + 5x

3x = 9

x = 3

3.)

8x(6x+8x) = 7(9+7)

8x(14x) = 112

112x² = 112

x = 1

4.)

(x+3)² = 16(x-3)

x² + 9 + 6x = 16x - 48

x² - 10x - 57 = 0

x = 14.0554

Learn more about Secant:

brainly.com/question/10128640

#SPJ1

8 0
2 years ago
The value of a house has increased by 5% the house is now valued at £609000 what is the value of the house before the increase?
lutik1710 [3]

Answer:

Current \ price = 609000\\\\Let \ the \ original \ price \ be = x\\\\\% increase = 5 \% \ of \ x = \frac{5}{100} \times x = \frac{5x}{100}\\\\Price \ after \ increase, current\ price = \frac{5x}{100} + x\\\\

=> 609000 = \frac{5x}{100} + x\\\\=>609000 = \frac{105x}{100}\\\\=> x = \frac{609000 \times 100}{105}\\\\x = 580000

Therefore original price = $580,000

3 0
3 years ago
The triangles shown below may not be congruent.<br> A. True<br> B. False
Molodets [167]

Answer:

B. False

Step-by-step explanation:

Congruent Definition: having the same size and shape.

6 0
3 years ago
Read 2 more answers
Other questions:
  • Write an expression for the difference of p and 4
    6·2 answers
  • Emy paid 24.50 for 4 baskets of apples. How much did she pay for each basket?
    10·2 answers
  • suppose your restaurant bill comes to $28.35. Find your total cost if the tax 6.25% and you leave a 20% tip on the amount before
    8·1 answer
  • If O is center of circle and angle CBO is 40° then what are values of angle BCO and
    5·2 answers
  • The bar graph shows the number of hurricanes from 2008 to 2009 and from 2010 to 2011. Compare the amounts of change and percents
    8·2 answers
  • Calculate the measure of each exterior angle of a 90 sided regular polygon. Explain.
    9·1 answer
  • What is the perimeter of a square with side length: s cm
    12·1 answer
  • Please help with this
    5·1 answer
  • To the nearest​ millimeter, a cell phone is 135 mm long and 51 mm wide. What is the ratio of the width to the​ length?
    5·1 answer
  • Cindy is selling circus tickets. On the first day she sells 6 adult tickets and 5 children tickets for total of 112.50. On the s
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!