a. name the vertex of <4 b. Name the sides of <1 c. Write another Name for <5 d. classify each angle
Answers
Answer:
A. vertex B
B. Side BC and BD
C. Angle EBD
Step-by-step explanation:
An angle is an undefined term in plane geometry.
The vertex of [tex]\angle 4[/tex] is BThe sides of [tex]\angle 1[/tex] are BC and BDAnother name for [tex]\angle 5[/tex] is [tex]\angle DBE[/tex].[tex]\angle FBC[/tex] is a right angle[tex]\angle EBF[/tex] is an obtuse angle [tex]\angle ABC[/tex] is a straight angle.[tex]\angle EBC = 144[/tex][tex]\angle ABE =13.5[/tex]Vertex of [tex]\angle 4[/tex]
The vertex of an angle is the point where the rays that form the angle meet.
From the diagram, rays BE and BA meet at point B to form [tex]\angle 4[/tex].
Hence, the name of the vertex is B
Sides of [tex]\angle 1[/tex]
The sides of an angle are the rays or sides that form the angle
[tex]\angle 1[/tex] is formed by rays BC and BD
Hence, the sides are BC and BD
Another name for [tex]\angle 5[/tex]
An angle can be named by combining the sides and the vertex.
The sides of [tex]\angle 5[/tex] are DB and BE, while the vertex is B
This means that rays DB and BE meet at point B
Hence, another name is [tex]\angle DBE[/tex]
Classify the angles
Angles are classified based on the measure
[tex]\angle FBC[/tex] is a right angle, because [tex]\angle FBC = 90^o[/tex]
[tex]\angle EBF[/tex] is an obtuse angle because [tex]\angle EBF[/tex] is greater than [tex]90^o[/tex] but less than [tex]180^o[/tex]
[tex]\angle ABC[/tex] is a straight angle, because [tex]\angle ABC= 180^o[/tex]
Angle bisector
The line or ray that divides an angle into equal halves is an angle bisector.
Ray BE is an angle bisector, because it divides [tex]\angle DBA[/tex] into two equal halves.
Find [tex]\angle EBC[/tex]
We have:
[tex]\angle EBD = 36[/tex]
[tex]\angle DBC = 108[/tex]
[tex]\angle EBC[/tex] is calculated using:
[tex]\angle EBC = \angle EBD +\angle DBC[/tex]
[tex]\angle EBC = 108+36[/tex]
[tex]\angle EBC = 144[/tex]
Find [tex]\angle ABE[/tex]
We have:
[tex]\angle EBF = 117[/tex]
[tex]\angle DBC = 108[/tex]
[tex]\angle ABE[/tex] is calculated using:
[tex]\angle EBF = \angle ABE +\angle EBD + \angle ABF[/tex]
Where
[tex]\angle ABF = 90[/tex]
[tex]\angle ABE = \angle EBD[/tex]
So, we have:
[tex]117 = \angle ABE +\angle ABE + \angle 90[/tex]
[tex]117 = 2\angle ABE + 90[/tex]
Collect like terms
[tex]2\angle ABE =117 - 90[/tex]
[tex]2\angle ABE =27[/tex]
Divide both sides by 2
[tex]\angle ABE =13.5[/tex]
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Related Questions
A cereal manufacturer has a tolerance of .75
oz for a box of cereal that is supposed to weigh
20 oz. Write and solve an absolute value
inequality that describes the acceptable weights
for a 20 oz box.
Answers
let the absolute weight of the box of cereal be X
20-0.75 ≤ x ≤ 20+0.75
19.25 ≤ x ≤ 20.75
Which of the following is an irrational number
Answers
Answer: D is the answer
Step-by-step explanation: Because a irrational number is a number that is non-reapting and non-terminating and it cannot be written as a ratio or a fraction
Hope this helps...
(9x-2)+(2x-8) I forgot how to do this
Answers
Answer:
Hey there!
9x-2+2x-8
11x-2-8
11x-10
Let me know if this helps :)
Answer:
11x - 10
Step-by-step explanation:
because there is a plus sign between the brackets, we just assume there are no brackets at all........so it will be:
9x - 2 + 2x - 8,,,,,,,,,bring the like terms together
9x + 2x - 2 - 8 = 11x -10.
the answer has a minus sign because when working out two negative numbers, we add them but still maintain the negative sign.
NOTE: If the sign between the brackets was a minus , the sign in the second expression would have changed from -8 to +8
1. What is a sequence?
2. What is each number in a sequence called?
3. What do patterns do?
4. What is an arithmetic sequence?
Answers
Answer:
1. A particular order in which related events, movements, or things follow each other.
2. A term
3. Patterns offer visual clues to an underlying order. Patterns can also be used as a template that will enable one to quickly analyze a situation and understand how it works.
4. Sequence of numbers such that the difference between the consecutive terms is constant.
What do you think is a real number?
Answers
Answer:
Real numbers consist of zero (0), the positive and negative integers (-3, -1, 2, 4), and all the fractional and decimal values in between (0.4, 3.1415927, 1/2). Real numbers are divided into rational and irrational numbers.
Step-by-step explanation:
Question 6 of 10
It takes a person 35 seconds to swim in a straight line from the east end of a
pool to the west end of the pool, a distance of 50 meters. What is the
swimmer's velocity?
A. 1.4 m/s west
B. 1.4 m/s east
C. 0.7 m/s west
D. 0.7 m/s east
Answers
Answer:
Swimmer's velocity = 1.4 m/s west (Approx)
Step-by-step explanation:
Given:
Total time taken = 35 seconds
Total displacement to west = 50 meter
Find:
Swimmer's velocity
Computation:
Swimmer's velocity = Total displacement to west / Total time taken
Swimmer's velocity = 50 / 35
Swimmer's velocity = 1.428
Swimmer's velocity = 1.4 m/s west (Approx)
Answer:
approximately 1.4 m/s west
yeeeeeeeeeeet
Passing through (2,-1) and (3, -3).
Answers
-2 is the slope if that's what's asked ?
A mountain climber started his climb at 50 feet above see level, he then descended 28 feet. He then raised 3 feet to rest in his cot to make his final 10 feet climb down. Write an expression to find his position relative to his final position.
Answers
Given :
A mountain climber started his climb at 50 feet above see level .
He then raised 3 feet to rest in his cot to make his final 10 feet climb down.
To Find :
An expression to find his position relative to his final position.
Solution :
Let , final position is h .
h is given by :
[tex]h=\text{(Initial position)-(initial descended)+(height raised to rest)-(final descended)}\\\\h=50 -28 +3-10\ feet\\\\h=15\ feet[/tex]
So , his final position is 15 feet .
Hence , this is the required solution .
HELP One-third (x minus 2) = one-fifth (x + 4) + 2
Answers
Your answer would be x=26
Simplify. Thank you...
Answers
Greetings from Brasil...
Looking at the attachment we can use some properties:
(A/B) ÷ (C/D) = (A/B) · (D/C)
(M/N) · (P/Q) = (M/Q) · (P/N)
One solution:
[(X + 3)/X] · (X - 1)...........................................................
another polynomial division
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what is the value of x in 3x+7y=27
Answers
Answer:
[tex]x = \frac{-7y}{3} +9[/tex]
Step-by-step explanation:
Note the equal sign, what you do to one side, you do to the other side. Do the opposite of PEMDAS. Isolate the variable, x.
PEMDAS is the order of operation, and =
Parenthesis
Exponents (& Roots)
Multiplication
Division
Addition
Subtraction
~
First, subtract 7y from both sides:
3x + 7y (-7y) = 27 (-7y)
3x = -7y + 27
Next, divide 3 from all terms on both sides:
(3x)/3 = (-7y + 27)/3
x = (-7y/3) + 9
[tex]x = \frac{-7y}{3} +9[/tex]
A baby weighs 115 ounces. What is the baby's weight in pounds and ounces? *Plz explain your answer*
Answers
Answer:
7 pounds 3 ounces
Step-by-step explanation:
There are 16 ounces in a pound. In order to convert ounces to pounds, we need to see how many 16s fit into 115 (how many full pounds can be made with 115 ounces) and add the remainder as ounces. To do this we can do long division (which gives us 7 remainder 3), or we can divide 115 by 16 (=7.1875) and convert the decimal places to ounces by multiplying 0.1875 pounds (the remainder) by 16 (as there are 16 ounces in pound) which gives us 3 ounces.
So 115 ounces is equal to 7 pounds and 3 ounces.
Hope this helped!
The baby's weight is 7 pounds and 3 ounces.
To convert ounces to pounds, we need to divide the number of ounces by the conversion factor, which is 16. There are 16 ounces in 1 pound.
Let's denote the baby's weight in ounces as W oz, the weight in pounds as W lb, and the remaining ounces as Roz.
W oz = 115 ounces
W lb = ?
R oz = ?
First, we divide the total number of ounces by 16 to find the number of pounds:
W lb = W oz / 16
= 115/ 16
= 7.1875 pounds
So, the baby weighs 7 pounds.
To determine the remaining ounces, we multiply the decimal portion of the pounds (0.1875) by 16:
R oz = 0.1875 x 6
R oz= 3 ounce
So, the baby weighs an additional 3 ounces.
Therefore, the baby's weight is 7 pounds and 3 ounces.
Learn more about Unit Conversion here:
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Solve for x in the diagram below
Answers
Answer:
x = 12°Step-by-step explanation:
First of all the angles lie on a right angle which means that they are complementary.
Complementary angles are angles that add up to 90°
To find x add up all the angles and equate it to 90° and solve for x
We have
x + 42 + 3x = 90
4x + 42 = 90
Subtract 42 from both sides
4x + 42 - 42 = 90 - 42
4x = 48
Divide both sides by 4
That's
[tex] \frac{4x}{4} = \frac{48}{4} [/tex]We have the final answer as
x = 12°Hope this helps you
Measuring Segments
Answers
During harvesting season at Florida Blue Farms, hand pickers
collect about 200 pounds of blueberries per day with a 95%
pack-out rate. The blueberry harvester machine collects about
22,000 pounds of blueberries per day with a 90% pack-out rate.
The pack-out rate is the percentage of collected blueberries
that can be packaged to be sold, based on Florida Blue Farms'
quality standards.
Let h represent the number of days the hand pickers work and
m represent the number of days the harvester machine is used.
Which of the following algebraic expressions can be used to
estimate the amount of collected blueberries that are packed at
the Florida Blue Farms for fresh consumption this season?
A (0.95h+200)(0.90+22000)
B 0.95(200h)+0.90(22000m)
C 200.95h+22000.90m
D (200h+0.95)(22000m+0.90)
Answers
Step-by-step explanation:
its b..........
Bbbbb
The farm uses two harvesting tools for packages that needs to be sold. So, we have to consider the rates of both harvest tools and the number of harvest by both tools. The algebraic expression is: [tex]0.95(200h) + 0.90(22000m)[/tex]
Given that
[tex]h \to[/tex] days of hand pickers word
[tex]m \to[/tex] days harvester machine is used
[tex]n_h = 200[/tex] --- pounds of hand pickers
[tex]n_m = 22000[/tex] -- pounds of harvester
[tex]r_h = 95\%[/tex] -- pack out rate of hand pickers
[tex]r_m = 90\%[/tex] -- pack out rate of harvester
The expression to estimate the amount is calculated as:
[tex]Amount = r_h \times n_h + r_m \times n_m[/tex] --- i.e. pounds of hand picker * its pack out rate + pounds of harvester * its pack out rate
So, we have:
[tex]Amount = 95\% \times 200h + 90\% \times 22000m[/tex]
Express as decimal
[tex]Amount = 0.95 \times 200h + 0.90 \times 22000m[/tex]
Rewrite as:
[tex]Amount = 0.95(200h) + 0.90(22000m)[/tex]
Hence, option (b) is correct.
Read more about algebraic expression at:
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1/2 × 2 = ? Step by step explanation would also be helpful!
Answers
Answer:
1
Step-by-step explanation:
Simplify the following:
2/2
Hint: | Divide 2 by 2.
2/2 = (2×1)/2 = 1:
Answer: 1
what’s the derivative of 8x?
Answers
Answer:
8.
Step-by-step explanation:
d/dx(8x)
= 8 * d/dx(x)
= 8 * 1
= 8.
I just need number 15 pls it is due in 3 hours
Worth 15 points
Answers
Answer:
Step-by-step explanation:
Don't know. Maybe you add up the two numbers then divide the answer.
Answer:
He is wrong in his approach, because the triangle is a 3,4,5, triangle and he should have put √5^2-4^2
Step-by-step explanation:
Write an expression to determine the length of the room in units of 3 feet.
Answers
Answer:
1/3LStep-by-step explanation:
The question with some background info added:
When measuring the dimensions of a room a carpenter uses a tape measure that only displays a number of feet, L, on the metal tape. (The carpenter's tape measure does not display inches) Write an expression to determine the length of the room in units of 3 feet. SolutionLet the length of the room be L feet measured by the carpenter
Then
L/3 = 1/3L would be measure of the length in units of 3 feetrounded to the nearest hundredth thousandth the number 0.00006334 is
Answers
Answer:
0.......................
The data below are the speeds of the fastest 5 roller coasters in north america what is the mean absolute deviation (mad) of the 5 speeds in north america? 128, 120 , 100, 95, 92
Answers
Answer:
92, 95, 100, 120, 128
Step-by-step explanation:
92, 95, 100, 120, 128
Solve 17-21
Pleaseeee
Answers
Answer:
17) sometimes
18) sometimes
19) sometimes
20) sometimes
21)what is it asking
Step-by-step explanation:
17) in terms of the square that's correct but in terms of a rectangle it's not
18) the the angles could be 30, 60, 92, 178.. the four angles have to add up to 360 but they could be 150 for example 30, 30, 150, 150,
19) in in terms of a rectangle, kite etc it's correct. but for a kite or a trapezoid it's not
20) in in terms of a kite yes but in terms of a square no.
21)??
Please help due in a few minutes……:(
Answers
Answer:
b and d
Step-by-step explanation:
translation is just a fancy word for moved around so pick all of the letters that are the same shape and the same degree of rotation but in a different spot which is b and d
Classify the Number: 120
whole
Whole, counting
Counting, whole, integers rational, real
Irrational, real
Answers
Answer:
counting, whole, integers, rational, real
Step-by-step explanation:
Counting numbers are any number above 0, and all the other groups will also fall into place if a number is a coutning number. Since 120 is a counting number, it falls into all the other groups above it too.
A rectangular prism is completely packed with 63 cubes of edge length fraction 1 over 3 inch, without any gap or overlap.
Answers
Answer:
2 1/3 cubic inches
Step-by-step explanation:
Perhaps you want to know the volume of the prism in cubic inches.
Find the total volume of the smaller cubes:
63(1/3 in)^3 = 63/27 in^3 = 7/3 in^3 = 2 1/3 in^3
Please show all work and not just the answers.
Answers
Answer:
The angle of PML is 68°.
Step-by-step explanation:
Given that total angles in a straight line is 180° so we can assume that ∠LMN is 180°. In order to find ∠PML, we have to subtract :
[tex]∠PML+∠ PMO + ∠OMN = 180[/tex]
[tex]∠PML + 90 + 22 = 180[/tex]
[tex]∠PML + 112 = 180[/tex]
[tex]∠PML = 180 - 112[/tex]
[tex]∠PML = 68[/tex]
If 3x-8=-2 fins the value of x-6
Answers
Steps to solve:
3x - 8 = -2; x - 6
~Substitute
3(x - 6) = -2
~Distribute left side
3x - 18 = -2
~Add 18 to both sides
3x = 16
~Divide 3 to both sides
x = 16/3
Best of Luck!
A bucket of candy contains 24 Jolly Ranchers, 18 Hershey Kisses, 12 packs of Smarties, and some Starburst. The probability of reaching in and pulling out a pack of Smarties is How many Starburst are in the bucket?
Answers
Complete question:
A bucket of candy contains 24 Jolly Ranchers, 18 Hershey Kisses, 12 packs of Smarties, and some Starburst. The probability of reaching in and pulling out a pack of Smarties is 1/6.How many Starburst are in the bucket?
Answer:
18
Step-by-step explanation:
Give the following :
Number of jolly ranchers = 24
Number of Hershey kisses = 18
Number of smarties = 12
Number of Starburst = s
Probability of pulling out a smarties ; P(smarties) = 1/6
Probability = required outcomes / total possible outcomes
Required outcome = 12
Total possible outcomes = (24 + 18 + 12 + s) = 54 + s
P(smarties) = 12 / (54 + s)
1/6 = 12 / 54 + s
1 × (54 + s) = 12 × 6
54 + s = 72
s = 72 - 54
s = 18
Hence number of smarties = 18
What is the equation of the line that passes through the point (8,3) and has a slope
of 1/4?
Answers
A Skier descended down a mountain at a rate of 14 feet per second.what was his total change in elevation after 8 seconds?
Answers
Answer:
1.75ft/s²Step-by-step explanation:
The total change in elevation of the skier is its acceleration. Acceleration is the change in velocity of a body with respect to time.
Acceleration = Velocity/Time
Given velocity of the skier = 14feet/sec
Time taken = 8secs
Acceleration of the skier = 14/8
Acceleration of the skier = 1.75ft/s²
Hence the total change in elevation after 8 seconds is 1.75ft/s²