Answers
=========================================================
Explanation:
Angle BFE is 117 degrees. The adjacent angle to this (angle BFA) is 180-117 = 63 degrees since the two angles form a straight line, and must add to 180.
Now because BD is parallel to AE, we know that the alternate interior angles BFA and FBD are the same measure. This makes angle FBD to be 63 degrees.
We're told that segment BF bisects angle ABD. That indicates the two smaller pieces (angles ABF and FBD) are the same measure. Both are 63 degrees in this case.
Let x be the measure of angle DBC. This angle will add to angles ABF and FBD to form a 180 degree straight angle
(angleABF) + (angleFBD) + (angleDBC) = 180
(63) + (63) + (x) = 180
x+126 = 180
x = 180-126
x = 54
Angle DBC is 54 degrees.
-----------------------
The last set of steps has us focus on triangle BCD. The three angles of any triangle always add to 180.
B+C+D = 180
54 + 85 + D = 180
139 + D = 180
D = 180-139
D = 41
Angle CDB is 41 degrees, and so is angle CEA as they are corresponding angles. Corresponding angles are congruent when we have parallel lines like this.
Therefore, angle E is 41 degrees.
The diagram is below showing all of the angles we found.
Related Questions
Solve the proportion
4
x
=
9
6
Answers
[tex]\huge\text{\bf Hey there!}[/tex]
[tex]\huge\boxed{\mathsf{4x = 96}}\\\\\large\text{DIVIDE 4 to BOTH SIDES}\\\\\huge\boxed{\mathsf{\dfrac{4x}{4} = \dfrac{96}{4}}}\\\\\large\text{CANCEL out: }\rm{\dfrac{4}{4}}\large\text{ because it gives you 1}\\\large\text{KEEP: }\rm{\dfrac{96}{4}}\large\text{ because it helps solve for the x-value}\\\\\large\text{NEW EQUATION: }\huge\boxed{\rm{x = \dfrac{96}{4}}}\\\\\large\text{SIMPLIFY IT\textbf{!}}\\\\\huge\text{x = \bf 24}\\\\\\\huge\text{Therefore, your answer is: \boxed{\textsf{x = 24}}}\huge\checkmark[/tex]
[tex]\huge\textbf{Good luck on your assignment \&}\\\huge\textbf{enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
solve the inequality 2x+2-6x<32
Answers
x>−15/2
15/2 is a fraction
This is an urgent matter! Please help!
Answers
Answer:
the answer is c a increasing line
Solve for X I will mark brainliest
Answers
EXPLANATION:
5/6x-1/10x=2/15
= (25x-3x)/30=3/15 (FINDING COMMON DENOMINATORS)
= 22x/30=2/15
= 11x/15=2/15 (SIMPLIFYING THE NUMBERS)
= x=2/15*15/11 (MOVING THE NUMBERS) (11/15 will be 15/11 when it is moved to the other side)
= x=30/165
= x= 2/11 (SIMPLIFYING)
Hope it helps!
How many time can 3/8 go into 12?
Answers
Answer:
32
Step-by-step explanation:
This is a division problem.
12 divided by 3/8.
12 ÷ 3/8 = 12/1 × 8/3 = (12 × 8)/(1 × 3) = 4 × 8 = 32
Answer: 32
t•t•t•t•t•t•t rewrite using exponents
Answers
Answer:
t^7
Step-by-step explanation:
there are 7 ts so it is t to the power of 7
Need help with question please!
Answers
Answer:
You got this just keep trying i know you can do it even if it is really hard
Step-by-step explanation:
Write down the first five terms of the geometric progression with
the first term 3 and common ratio 2 , then find the 17th .
Answers
Step-by-step explanation:
s1 = 3
s2 = 3×2 = 6
s3 = 6×2 = 12
s4 = 12×2 = 24
s5 = 24×2 = 48
sn = sn-1 × 2 = s1 × 2^(n-1)
s17 = 3 × 2¹⁶ = 3 × 65,536 = 196,608
What is the next term of the AP √2, √8 , √18 ......?
Answers
Given terms in an AP are √2,√8,√18
√8 = √(2×2×2) = 2√2
√18 = √(2×3×3) = 3√2
The AP : √2,2√2,3√2
next term = 4√2> √(4×4×2)
⇛ √32
The next term of the AP = √32.
also read similar questions: The next term of the AP root 8, root 18,root 32 is...........
https://brainly.com/question/17287744?referrer
Which term of the AP:3, 8, 13, 18,...,is 78?
https://brainly.com/question/15380012?referrer
Is the square root of 76 closer to the interger 8 or 9
Answers
Kori buys 9 packs of organic milk from the neighborhood store. Each pack is priced at $3.96. How much does Kori spend in all on her purchase?
Answers
Answer:
$35.64
Step-by-step explanation:
9 x 3.96 is 35.64
multiply 9 by 3, then 0.96 and add those answers together.
Answer: 35.64 dollars is your answer
How long it would it take to spread a rumor in a town of 90,000 people if each person who heard the rumor told it to 3 new people every 15 minutes?
Answers
Answer:
it would take 30k minutes, equivalent to 500 hours/almost 21 days/almost 3 weeks
Step-by-step explanation:
Does the graph represent a function?
Answers
Answer:
yes, it's a function
Step-by-step explanation:
downward facing parabola
What is the inverse of the function g(x)=7x+3/x-5?
Answers
Answer:
g(x) = (5x + 3)/ x - 7
Step-by-step explanation:
Let g(x) = y
y = (7x + 3)/x - 5
Make x the subject
xy - 5y = 7x + 3
xy - 7x = 5y + 3
x(y - 7) = 5y + 3
x = (5y + 3)/ y - 7
Therefore, the inverse of the function = (5x + 3)/ x - 7
Hailey collected 215 cans and 475 newspapers for recycling. Each can weighs 15 grams. What is the total weight of the cans that Hailey collected?
? x 15 =?
Answers
Answer:
3225 grams
Step-by-step explanation:
215 x 15
Find the value of t for the given values of d and r. d = 286, r = 55
Answers
Determine the quotient of 4/5 divided by 4
Answers
Mark as brainliest
Answer:
it will probably be 1/5
hope I am correct and sorry if not.
Which of the following fractions can be represented by a terminating decimal?
OA) 8/9
OB)13/8
OC)4/3
OD)6/11
Answers
Answer:
B) 13/8
Step-by-step explanation:
First we need to understand what a terminating decimal is: It is a decimal that has a finite number of decimal values that are not zero, meaning that its decimal values end at some point
Let's go through our possible answers with trial and error:
A) 8/9
8/9 = 0.888888888888...9 (Incorrect)
B) 13/8
13/8 = 1.625 (Correct)
C) 4/3
4/3 = 1.3333333333...4 (Incorrect)
D) 6/11
6/11 = 0.545454545454...54 (Incorrect
13/8 is our answer because in decimal form it is a terminating decimal.
How many solutions does this system have?
y = 2/3x + 3
2x - 3y = -9
A. one solution (what i think) ****
B. two solutions
C. no solutions
D. infinitely many solutions
Answers
Answer:ONE solution.
Step-by-step explanation:
A soccer club had 45 players. In a recent push to create more teams, they had a recruiting event. After the event the club had 71 players. Write an equation and solve for the number of players the club gained with the recruiting event.
Answers
Answer:
45+x = 71
26 players were added
Step-by-step explanation:
We start with 45 players
We ended with 71 players
We added x players
45+x = 71
Subtract 45 from each side
45+x-45 = 71-45
x =26
We added 26 players
ATQ
[tex]\\ \sf{:}\dashrightarrow x+45=71[/tex]
[tex]\\ \sf{:}\dashrightarrow x=71-45[/tex]
[tex]\\ \sf{:}\dashrightarrow x=26[/tex]
graph { (2/3) (2,4) (-3/4)}
Answers
Answer 56
Step-by-step explanation:
A strand of bacteria has a doubling time of 15 minutes. If the population starts with 10 organisms, how long would it take for the population to grow to 700 organisms?
Answers
Answer:
between 1hr 30 and 1hr 45
Step-by-step explanation:
10*2=20 15
20*2=40 30
40*2=80 45
80*2=160 60
160*2=320 1hr 15
320*2=640 1hr 30
In 90 minutes the population to grow to 700 organisms.
Given that,
A strand of bacteria has a doubling time of 15 minutes.
If the population starts with 10 organisms.
We have to determine,
How long would it take for the population to grow to 700 organisms?
According to the question,
A strand of bacteria has a doubling time of 15 minutes.
If the population starts with 10 organisms.
In 15 minutes strand of bacteria has a doubling time the population starts with 10 organisms.
[tex]\rm = 10 \times 2 = 20 \ bacteria[/tex]
In 15 minutes 20 bacteria for the population to grow.
In 30 minutes strand of bacteria has a doubling time the population starts with 20 organisms.
[tex]\rm = 20 \times 2 = 40 \ bacteria[/tex]
In 30 minutes 40 bacteria for the population to grow.
In 45 minutes strand of bacteria has a doubling time the population starts with 40 organisms.
[tex]\rm = 40 \times 2 = 80 \ bacteria[/tex]
In 45 minutes 80 bacteria for the population to grow.
In 60 minutes strand of bacteria has a doubling time the population starts with 80 organisms.
[tex]\rm = 80 \times 2 = 160 \ bacteria[/tex]
In 60 minutes 160 bacteria for the population to grow.
In 75 minutes strand of bacteria has a doubling time the population starts with 160 organisms.
[tex]\rm = 160 \times 2 = 320 \ bacteria[/tex]
In 75 minutes 320 bacteria for the population to grow.
In 90 minutes strand of bacteria has a doubling time the population starts with 320 organisms.
[tex]\rm = 320 \times 2 = 640 \ bacteria[/tex]
In 90 minutes 640 bacteria for the population to grow.
In 120 minutes strand of bacteria has a doubling time the population starts with 640 organisms.
[tex]\rm = 640 \times 2 = 1280 \ bacteria[/tex]
In 120 minutes 1280 bacteria for the population to grow.
Hence, In 90 minutes the population to grow to 700 organisms.
For more details refer to the link given below.
https://brainly.com/question/3188472
A jar contains 28 marbles. Half of the marbles are red. Half of the non-red marbles are white and the rest are blue. Todd chose a white marble at random and kept it. What is the probability that when Hosea now draws a marble it will also be white
Answers
Answer:
2/9
Step-by-step explanation:
28 marbles in all
"Half of the marbles are red."
28/2 = 14 red
"Half of the non-red marbles are white..."
14/2 = 7 white
"...and the rest are blue."
25 -14 -7 = 7 blue
"Todd chose a white marble at random... " -from the bag that has...
14 red 7 white 7 blue
"... and kept it."- so now the marbles left in the jar are...
14 red 6 white 7 blue
P (white) = Number of white marbles/ Total number of marbles = 6/27 = 2/9
PLEASE HELP!!!!!!!!!!!!! ASAPPP
Answers
Answer:
JO !
Step-by-step explanation:
get he exponet out the way
\
that leaves you with 3+4x1
do 4x 1 that equals 4
3+ 4 = 7
Hey there!
3 + 4 × 1^2
= 3 + 4 × 1
= 3 + 4
= 7
[Jo is correct] whereas Mia is incorrect because she misunderstood the question.
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
If the letters in the word NEIGHBOR are
randomly rearranged, what is the probability
that the arrangement ends with the letter B?
Answers
Write the equation to the line parallel to y= 3x – 5 that goes through the point (-2, -7) using any form.
Thank you!
Answers
Answer:
y = 3x - 1
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 3x - 5 ← is in slope- intercept form
with slope m = 3
Parallel lines have equal slopes , then
y = 3x + c ← is the partial equation
To find c substitute (- 2, - 7 ) into the partial equation
- 7 = - 6 + c ⇒ c = - 7 + 6 = - 1
y = 3x - 1 ← equation of parallel line
Help with this polynomial problem.
Answers
Answer:
i cannt see it
Step-by-step explanation:
Can someone help me on this math problem please
Answers
Answer:
CPCTC
Step-by-step explanation:
In each case the half-angles resulting from bisecting the angles are corresponding parts of congruent triangles, hence congruent themselves. (CPCTC)
When a segment divides an angle into two congruent parts, it is an angle bisector.
A restaurant worker earns a set amount per hour from their employer. They also receive tips from customers. Their
earnings most closely rese]nble those of which of the following?
a. An employee working on straight commission
An employee working on commission plus salary
An employee working on a piece-rate basis
An employee working on a fixed salary
b.
C
d.
Please select the best answer from the choices provided
Ο Α
B
оооо
D
Mark this and return
Save and Exit
Next
Submit
Answers
Answer:
an employee working on commission plus salary.
Step-by-step explanation:
salary is the hourly rate
commission is tips
Answer:
B - An employee working on commission plus salary
Step-by-step explanation:
whats 3-6h if h = -1
Answers
Answer:
9
Step-by-step explanation:
First, you input -1
6(-1)=-6
3-(-6) is the same as 3+6
The answer is 9