Answer:
∠BEC = 54°
Step-by-step explanation:
ED and EA are opposite rays, which means that they form a straight angle.
Straight angle = 180°
Which means that,
∠AEB + ∠BEC +∠DEC = ∠AED
This is the equation we are going to use,
We also know that ∠CED = 72°
We know that BE bisects ∠AEC
Know, we know that ∠AEB = (7x - 2)°
That means ∠BEC = (7x - 2)° - This is because ∠AEB = ∠BEC
=>(7x - 2)° + (7x - 2)° + 72° = 180°
=> (14x - 4)° + 72° = 180°
=> (14x - 4)° = 180° - 72°
=> (14x - 4)° = 108°
=> 14x = 108° + 4°
=> 14x = 112°
=> x = (112 / 14)°
=> x = 8°
So, know we can find ∠BEC
(7x - 2)°
=> (7 * 8 - 2)°
=> (56 - 2)°
=> 54°
If my answer helped, kindly mark me as the Brainliest!!
Thank You!!
Solve the equation 3x + 4y = 16 for x.
O A x V 16
B. x=3(16-4)
O c. x = 16 - 4y
O D. x. 18 AV
3x-4y=16
add 4y to both sides
3x=4y+16
divide both sides by 3
x=(4y+16)/3
The fifth term of a non-linear sequence is 9.
The term-to-term rule is divide by 3'.
Work out the second term of the sequence.
Answer:
a₂ = 243
Step-by-step explanation:
The term to term rule from left to right in the sequence is divide by 3
The term to term rule from right to left is the opposite, multiply by 3
Given
a₅ = 9, then
a₄ = 9 × 3 = 27
a₃ = 27 × 3 = 81
a₂ = 81 × 3 = 243 ← required term
Bill can hit a bucket of 32 golf balls in 17 hours.
How much could he hit in 23 hours
17x = 32
x = 1.882
23x = 23 x 1.882 = 43.286 = 43 balls
Find the slope of AB through points A(1,7) and B(-1,4). m of AB=
Hi there & welcome to brainly !
Answer:
[tex] \huge{ \boxed{ \bold{ \tt{ \frac{3}{2}}}}} [/tex]
Step-by-step explanation:
Given :A ( 1 , 7 ) , B ( - 1 , 4 )
To find :Slope = ?
Solution :Let A ( 1 , 7 ) ↦ ( x₁ , y₁ )
Let B ( - 1 , 4 ) ↦ ( x₂ , y₂ )
Finding the slope :
[tex] \boxed{ \tt{slope \: ( \: m)= \frac{y2 - y1}{x2 - x1} }}[/tex]
[tex] \sf{↦ \: slope = \frac{4 - 7}{ - 1 - 1}} [/tex]
[tex] \sf{↦ \: slope = \frac{ - 3}{ - 2}} [/tex]
[tex] \sf{↦ \: slope = \boxed{ \sf{ \frac{3}{2} }}}[/tex]
And we're done !
Hope I helped!
Best regards! :D
~TheAnimeGirl
The distance between two towns is 120 kilometers. There are approximately 8 kilometers in 5 miles.
Which measurement is closest to the number of miles between these two towns?
Answer:
45miles.
Step-by-step explanation:
If 8km = 5miles
hence the number of miles between the two towns = 120/8 × 5
= 15 × 5
= 45miles.
Answer:
75 mi
Step-by-step explanation:
120/8=15
15x5=75 mi
Bobby's cat runs x mph. Bobby's dog runs twice as fast as his cat.
If cat and dog start running away from each other how far away from each other will they be after 30 minutes?
Answer;
They will be 0.5x miles away from each other
Explanation;
Since the dog runs twice the speed of the cat
Its speed will be 2 * x = 2x mph
Now we want to know how far they will be from each other after 30 minutes
Kindly note that 30 minutes is 1/2 hour
Mathematically;
distance = speed * time
Distance of cat = x * 1/2 = 0.5x miles
Distance of dog = 2x * 0.5 = x miles
The dog is x - 0.5x miles = 0.5x miles away from the cat
They will be 0.5x miles away from each other.
Calculation of the distance:Since Bobby's cat runs x mph. Bobby's dog runs twice as fast as his cat.
So here the speed of the dog should be 2x
Now we know that
[tex]Distance = speed \times time\\\\[/tex]
Here distance of cat should be x of 30 minutes or half hour = 0.5x miles
And, Distance of dog should be 2x of 0.5 = x miles
So, the difference should be
= x - 0.5
= 0.5x miles
hence, They will be 0.5x miles away from each other.
Learn more about speed here: https://brainly.com/question/1825528
• Lawson already has $60 in his wallet but needs a total of at least $500 for his holiday. He gets
paid $30 per day for delivering newspapers. What is the least number of days he must work to
get enough money for his holiday?
Answer:
15
Step-by-step explanation:
500-60=440
440/30=14.66666667
simplify 14.66666667= 15
Kenson and Shelly are each saving money.
• Kenson has $60 in savings and will save an additional $12 every week.
• Shelly has $85 in savings and will save an additional $7 every week.
Which equation can be used to determine w, the number of weeks it will take Kenson and Shelly to save the same amount of money?
A. 720 + 60w = 595 + 85w
B. 7w + 595 = 12w + 720
C. 60 + 7w = 85 + 12w
D. 60 + 12w = 95 + 7W
Answer:
D.
Step-by-step explanation:
D. 60 + 12w = 95 + 7W
Fun fact
During your lifetime, you will produce enough saliva to fill two swimming pools ♀️
credit to savannal2250 for the fact
Answer: wow
I'd want nothing more than to swim in a pool of saliva.
Which line is perpendicular to a line that has a slope of One-half?
line AB
line CD
line FG
line HJ
Answer:
D
Step-by-step explanation:
Answer:
HJ
Step-by-step explanation:
Absolute value is DISTANCE. How many units a number is away from zero.
a.) 3
b.)4
C.) -3
d.) -4
I believe it is B) 4
The number line is going by .5 per space and there are 8 spaces in the red line segment. You can then do 8 x .5 and you will get 4.
How do you write -4.50 as a mixed number
Answer:
-9/2
Step-by-step explanation:
Joe is making a recipe that calls for 4 teaspoon of cinnamon. His only measuring spoon only holds 8 teaspoon. How many times will he need to fill his
measuring spoon to get enough cinnamon for the recipe?
Answer:
1/2
Step-by-step explanation:
because he will need to fill the 8 teaspoon half way
When a whole number is multiplied by 10to the 5th power, how does the placement of the decimal point change? a It moves five places to the right. b It moves ten places to the right. c It moves five places to the left. d It moves ten places to the left.
Answer:
The correct option is;
a) It moves five places to the right
Step-by-step explanation:
Multiplying a whole number by 10 raised to a given (positive whole number) power, involves the shifting of the positioning of the decimal places to the right, depending on the value of the positive whole number power to which the 10 is raised
Similarly, multiplying a whole number by 10 raised to a given (negative whole number) power, involves the shifting of the positioning of the decimal places to the left, depending on the value of the negative whole number power to which the 10 is raised.
The reason is because, the number base generally used for arithmetic is in base 10 and multiplying or dividing by 10 is what is required to change a number's place value
Therefore, multiplying a whole number by 10 raised to the 5th power (10⁵) requires shifting the decimal place 5 places to the right
Example:
x.0 × 10⁵ = x00000.0
Where, x is a whole number.
Math
Jim baked 24 cupcakes for the upcoming bake sale. He also bought drinks.
Which sets below are factor pairs of 24?
A (3,6)
B (4.6)
C (6,8)
D (1, 24)
E (38)
Click Submit below if you want to finish the test and see the results
Save and Exit
9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25
26 27 28
Solve for I.
-30 = 5(x + 1)
Answer:
x or I=-7
Step-by-step explanation:
can someone explain to me how to do this
Answer:
x=45
Step-by-step explanation:
We know that 2y+6 and 8y-102 are vertical angles to each other. This means that 2y+6=8y-102. [tex]6y=108[/tex], which means that y=18. [tex]2\cdot(18)+6=36+6=42[/tex]. Since one line is a straight angle, it is 180 degrees we can do [tex]3x=180-45=135[/tex], so x=45.
Answer:
y = 18
x = 46
measures of the angles:
8y - 102 = 42
2y + 6 = 42
3x = 138
Step-by-step explanation:
So first remember the verticle angles theorem, which states that, when two lines intersect there will be four angles formed; the angles that are opposite from each other will be congruent, that is, they will have the same measure.
Using this we know that opposite angles have to be congruent:
so
(2y + 6) = (8y -102)
now there is an algebra equation that can be solved by inverse operations and simplifying
2y + 6 = 8y - 102
+102 +102
2y + 108 = 8y
-2y -2y
108 = 6y
/6 /6
18 = y
Also, remember that two adjacent angles that form a line will add up to 180,
so
3x + (2y + 6) = 180
*note: I could have also used (8y - 102) but I choose to use (2y + 6)
so now substitute in the value of y that was found
y = 18
3x + (2 * 18 + 6) = 180
simplify
3x + ( 36 + 6) = 180
3x + 42 = 180
now use inverse operations
3x + 42 = 180
-42 -42
3x = 138
/3 /3
x = 46
Viserys deposited $10000 in to an account that pays a simple interest rate of 5%. How long will it take for his money to double ?
Answer:
Somebody once told me the world is gonna roll me
I ain't the sharpest tool in the shed
She was looking kind of dumb with her finger and her thumb
In the shape of an "L" on her forehead
[Pre-Chorus]
Well, the years start coming and they don't stop coming
Fed to the rules and I hit the ground running
Didn't make sense not to live for fun
Your brain gets smart but your head gets dumb
So much to do, so much to see
So what's wrong with taking the backstreets?
You'll never know if you don't go
You'll never shine if you don't glow
[Chorus]
Hey now, you're an all star
Get your game on, go play
Hey now, you're a rock star
Get the show on, get paid
And all that glitters is gold
Only shooting stars break the mold
[Verse 2]
It's a cool place, and they say it gets colder
You're bundled up now, wait 'til you get older
But the meteor men beg to differ
Judging by the hole in the satellite picture
The ice we skate is getting pretty thin
The water's getting warm so you might as well swim
My world's on fire, how 'bout yours?
That's the way I like it and I'll never get bored
[Chorus]
Hey now, you're an all star
Get your game on, go play
Hey now, you're a rock star
Get the show on, get paid
All that glitters is gold
Only shooting stars break the mold
[Interlude]
Go for the moon
Go for the moon
Go for the moon
Go for the moon
[Chorus]
Hey now, you're an all star
Get your game on, go play
Hey now, you're a rock star
Get the show on, get paid
And all that glitters is gold
Only shooting stars
[Verse 3]
Somebody once asked, “could I spare some change for gas?
I need to get myself away from this place"
I said, "Yep, what a concept
I could use a little fuel myself and we could all use a little change"
[Pre-Chorus]
Well, the years start coming and they don't stop coming
Fed to the rules and I hit the ground running
Didn't make sense not to live for fun
Your brain gets smart but your head gets dumb
So much to do, so much to see
So what's wrong with taking the backstreets?
You'll never know if you don't go (Go!)
You'll never shine if you don't glow
[Chorus]
Hey now, you're an all star
Get your game on, go play
Hey now, you're a rock star
Get the show on, get paid
And all that glitters is gold
Only shooting stars break the mold
[Outro]
And all that glitters is gold
Only shooting stars break the mold
Step-by-step explanation:
Answer:
4,000%
Step-by-step explanation:
You can solve this problem by using a proportion.
So to start the proportion draw one line then put an equal sign and draw another line.
Then start filling out the proprtion. in proprtions your is and of can make it easier to solve the problem
is $10,000_________= ______________
of 5% 100%
First multiply $10,000 dollars by 100%, you get 200,000%
Then divide 200,000% by 5% and you get 4,000%
Write the equation of the parabola in vertex form.
Vertex: (−4,6); Point: (−2,−2)
Answer:
y = - 2(x + 4)² + 6
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k ) = (- 4, 6 ) , thus
y = a(x - (- 4) )² + 6 , that is
y = a(x + 4)² + 6
To find a substitute (- 2, - 2) into the equation
- 2 = a(- 2 + 4)² + 6 ( subtract 6 from both sides )
- 8 = a(2)² = 4a ( divide both sides by 4 )
- 2 = a , thus
y = - 2(x + 4)² + 6 ← equation in vertex form
What is the speed of a car that is traveling at 75,000 meters in 5,400 seconds.
Answer:
13.9
Step-by-step explanation:
Speed=distance/time
S=75,000/5,400
S=13.8 repeating OR (rounded) 13.9 m/s
PLEASE HELP, IM NOT SURE!!!
The scale on a map reads 2 inches = 5 miles. What is the actual distance
between two cities on the map that are 6.5 inches apart?*
O A. 2.6 miles
B. 13 miles
O C.32.5 miles
D. 16.25 miles
Answer:
Step-by-step explanation:
2 inches = 5 miles.
So if you divide both sides by 2,
1 inch = 2.5 miles
To find how many miles 6.5inches is equal to, multiply 2.5 by 6.5
6.5 inches = 2.5 x 6.5 = 16.25 miles
You bought 12 red apples and 15 green apples to make a pie.
What is the ratio of the number of red apples to the total number of apples?
4 over 9
Answer:
12 over 27 = 4 over 9
Step-by-step explanation:
12 over (12 + 15) = 12 over 27 = 4 over 9
Can someone please help me?
Answer:
4
Step-by-step explanation:
It is 4 because there are 4 pea pods with 3 peas in each pod.
Answer:
2
Step-by-step explanation:
What is the measure of Angle 1 in this figure?
A. 30°
B. 80°
C. 110°
D. 130°
Answer:
A
Step-by-step explanation:
2 (x - 5) = 7 + 2x
What is the answer ?? I need help !?
Answer:
0=17
Step-by-step explanation:
2X - 10=7 +2x
-10 = 7
7 is fasle
i believe the answer is 17
Help Help Help!!!!!!!!!!!
Answer:
1)B
2)G
3)B
4)F
5)D
I need help Type fast
-1/10 divided by 1/6
[tex]-0.6[/tex]
For more help, Take a look at this chart.
Answer:
-3/5
Step-by-step explanation:
-1/10 divided by 1/6
-1/10 x 6/1
-6/10 the divided by 2
-3/5
I dont understand this, plz help, will mark Branliest!
Solve for x: −3|x + 7| = −12 (2 points)
x = 5 over 3 , x = − 19 over 3
x = −3, x = −11
x = −3, x = 11
please help me with this.
Answer:
I think ans-d is the answer
Step-by-step explanation:
plz mark me as brainlist