Answers
The length of the sides of the isosceles triangle ΔCDE are EC and ED, therefore; EC = ED
What is an isosceles triangle?An isosceles triangle is a triangle that has a pair of congruent sides.
Since OA is perpendicular to OE and DE is a tangent at D, we get;
∠OAC is congruent to ∠ODC (Base angles of an isosceles triangle)
m∠OAC = m∠ODC
∠ACO is congruent to ∠DCE (Vertical angles theorem)
m∠ACO = m∠DCE
m∠ODE = 90° (Definition of the tangent to a circle)
∠OAC and ∠ACO are complementart angles (Property of the acute interior angles of the right triangle ΔAOC)
m∠OAC + m∠ACO = 90° (Definition of complementary angles)
m∠OAC + m∠DCE = 90°
m∠ODE = m∠ODC + m∠CDE (angle addition property)
Therefore;
m∠ODC + m∠CDE = 90°
Therefore;
m∠ODC + m∠CDE = m∠OAC + m∠DCE
m∠ODC = m∠OAC, therefore;
m∠CDE = m∠DCE
Therefore, triangle ΔCDE is an isosceles triangle.
EC = ED (The legs of an isosceles triangle are congruent)
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Related Questions
Round £168.51 to the nearest pound
Answers
Answer:
£169
Step-by-step explanation:
because the number in the decimal immediately after 8 the integer 168, is up to or more than 5.
The required round of £168.51 to the nearest pound is £169.
Given that,
To round £168.51 to the nearest pound.
The rounding of values is superseding a number with an inexact value that has a more ephemeral, more uncomplicated, or more direct representation.
Here,
£168.51 is given in the question and asked to round is to the nearest pound, since after the decimal the number 51 is closer to the nearest zero i.e. 100,
Implies,
The nearest pound to the £168.51 is £169
Thus, the required round of £168.51 to the nearest pound is £169.
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whats the same about online school and in-person
for a project pls help thanks :)
Answers
Answer:
You're both learning the same stuff, only in different environments.
Step-by-step explanation:
It doesn't matter about the different environments you are in, you are still learning the same schoolwork that you are required to do.
Answer:
The similarity between online school and in- person is the material learned and how it is taught.
Step-by-step explanation:
A driver of a car stopped at a gas station to fill up his gas tank. He looked at his watch, and the time read exactly 3:40 p.M. At this time, he started pumping gas into the tank. At exactly 3:44, the tank was full and he noticed that he had pumped 8.8 gallons. What is the average rate of flow of the gasoline into the gas tank?
Answers
The average rate of flow of gasoline into the gas tank is 2.2 gallons per minute.
What is the average?The average is the mean value of the data set values.
The mean is computed by dividing the total value by the number of items.
For the average rate of flow, divide the total gallons of gasoline filled by the driver, 8.8 gallons, by the number of minutes used in filling the tank.
In this case, the average rate of flow shows the speed that the driver used to fill the car with gasoline.
Starting time = 3:40 P.M.
Ending time = 3:44 P.M.
The difference in filling time = 4 minutes (3:44 - 3:40)
Total number of gallons of gasoline filled = 8.8 gallons
Average rate of flow of the gasoline = 2.2 gallons per minute (8.8/4)
Thus, at an average rate of 2.2 gallons per minute, the driver was able to fill his gas tank in 4 minutes.
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What is the range of the function shown on the graph
Answers
Answer:
-2<=y<=-7
Step-by-step explanation:
Graph the following equation(y + 4) == {«+3)Step 2 of 3: Start the graph by plotting a point on the line.
Answers
Given:
The equation is given as,
\((y+4)=\frac{1}{2}(x+3)\)The objective is to draw the graph of the equation.
Explanation:
To draw the graph of a line, two coordinates are required.
Consider x = 0 in the given equation.
\(\begin{gathered} y+4=\frac{1}{2}(0+3 \\ y=\frac{3}{2}-4 \\ y=1.5-4 \\ y=-2.5 \end{gathered}\)Thus, the coordinate is (0,-2.5).
To obtain graph:
The obtained coordinate can be plotted in the graph as,
Hence, the graph of the coordinate is obtained.
what is the name of the country highlighted in red
Answers
Answer:
well we need a map or a picture of what is hilighted in red
In the figure below, m ADB = 268°. Find m ZACB.
Answers
Answer:
88
Step-by-step explanation:
A boat heading out to sea starts out at Point A, at a horizontal distance of 1246 feet
from a lighthouse/the shore. From that point, the boat's crew measures the angle of
elevation to the lighthouse's beacon-light from that point to be 14°. At some later
time, the crew measures the angle of elevation from point B to be 5°. Find the
distance from point A to point B. Round your answer to the nearest tenth of a foot if
necessary.
Answers
Answer:2304.9
Step-by-step explanation:
Answer:
2304.9 ft
Step-by-step explanation:
You want the distance from point A, which is 1246 ft horizontally from a lighthouse to point B, given the angles of elevation to the light are 14° and 5° from points A and B, respectively.
TangentThe tangent relation for sides in a right triangle is ...
Tan = Opposite/Adjacent
In a model of this geometry, the height (h) of the lighthouse is the side opposite the angle of elevation. This lets us write two equations:
tan(14°) = h/1246
tan(5°) = h/(1246 +d) . . . . . where d is the distance from A to B
SolutionSolving these equations for d, we have ...
h = 1246·tan(14°) = (1246+d)·tan(5°)
d·tan(5°) = 1246·(tan(14°) -tan(5°))
d = 1246·(tan(14°)/tan(5°) -1) ≈ 2304.9 . . . . feet
The distance from point A to point B is about 2304.9 feet.
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what is the surface area of a sphere with a radius of 12 centimeters
A) 302cm^2
B) 452cm^2
C) 576cm^2
D) 1810cm^2
Answers
The surface area of the sphere is 1810 cm²
What is a sphere?A sphere is a three-dimensional object that is round in shape. Examples of object with spherical shape is a ball, an egg e.t.c.
The area occupied by a three-dimensional object by its outer surface is called the surface area.
The surface area of sphere is expressed as;
A = 4πr². where r is the radius.
A = 4 × 3.14 × 12²
A = 1809.7 cm²
approximately to the nearest whole number
A = 1810 cm²
Therefore the surface area of the sphere to the nearest whole number is 1810 cm².
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Organize the following data in a stem-and-leaf plot.
219 151 199 186 170 186 194
184 196 185 174 186 197 170
178 179 182 193 195 171
b) Use your stem-and-leaf plot to determine the median and the mode.
C)Calculate the mean of the data.
Answers
```
15 | 1
17 | 0 0 1 4
18 | 2 4 5 6 6
19 | 3 4 5 6 7 9
```
b) To find the median, we need to put the data in order from least to greatest:
```
151 170 170 171 174 178 179 182 184 185 186 186 186 193 194 195 196 197 199 219
```
There are 20 numbers in the data set, so the median is the average of the 10th and 11th numbers:
```
Median = (185 + 186) / 2 = 185.5
```
To find the mode, we look for the most common value in the data set. In this case, the stem-and-leaf plot shows that there are two modes: 186 and 170.
c) To calculate the mean, we add up all the numbers and divide by the total number of numbers:
```
Mean = (219 + 151 + 199 + 186 + 170 + 186 + 194 + 184 + 196 + 185 + 174 + 186 + 197 + 170 + 178 + 179 + 182 + 193 + 195 + 171) / 20
Mean = 1849 / 20
Mean = 92.45
```
Therefore, the mean of the data is 92.45.
from a point 1.75 m above the ground and 10 m away from a tower the angle of elevation of a top of a tower is 60 degree calculate the height of the tower
Answers
Answer:
17.32 meters
Step-by-step explanation:
Let’s call the height of the tower H. The distance from the point to the base of the tower is 10 m. The angle of elevation from the point to the top of the tower is 60 degrees.
Using trigonometry, we can calculate that:
tan (60) = H / 10
H = 10 * tan (60)
H = 10 * √3
H = 17.32 m
Therefore, the height of the tower is 17.32 meters.
Let me know if I helped :)
April buys soil for her flowerpots. she uses 9 kilograms of soil for her violets and 4 kilograms of soil for her tulips. she has 3,000 grams of soil left for some daisies (1 kilogram = 1,000 grams) use the drop down menus to show how much soil she bought
Answers
April bought 16 kilograms of soil in total.
To show how much soil April bought
We need to add the amounts of soil she used for her violets and tulips. Since April used kilograms for violets and tulips, we need to convert the 3,000 grams to kilograms before we can add them up.
April bought:
9 kilograms of soil for violets
4 kilograms of soil for tulips
3 kilograms of soil for daisies (since 3,000 grams is 3 kilograms)
Therefore, April bought 16 kilograms of soil in total.
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PLEASE HELP! FIND THE AREA
Answers
Answer:
All you need to do is split the shape so that you can find the individual area
Step-by-step explanation:
So we first split the shape so we get a triangle...
A=1/2bhB=2H=4A=1/2*2*4A=4Now we split the shape again to get another square...
A=lwA=2*4A=8Then we find the area of the other square...
A=lwA=2*5A=10Our last step is to add all the areas together
we let TA represent Total areaTA=4+8+10TA=22Hence the area is 22
Find the length of the missing side
Answers
...
Choose the equation and the inequality needed to answer this question. Trevor tutors French for $15 and hour and scoops ice cream for $10 an hour. He is going to work 15 hours this week. At least how many hours does he need to tutor to make more than $180? Let x equal the number of hours he tutors and y be the number of hours he scoops ice cream.
Answers
Answer:
One second let me look it up for u :)
Step-by-step explanation:
Answer:
Total number of hours = 15
Let the hours spent tutoring french be x.
Therefore hours spent on scooping ice cream = (15 - x)
Amount: Tutoring french is $15 an hour, total for x hours = 15x
For scooping ice cream it is $10 an hour 10*(15 - x) = 150 - 10x
To make more than $180
15x + (150 - 10x) > 180
15x + 150 - 10x > 180
15x - 10x > 180 - 150
5x > 30
x > 30/5
x > 6
trevor needs to tutor 6 hours to make more than 180
Step-by-step explanation:
I hope this helped :)
50 POINTS!!!A landscaper needs to mix gas and oil to power a string trimmer and chainsaw. The mix requires
a ratio of 1 gallon of gasoline to 2.6 ounces of oil. If the ratio remains the same, how many
ounces of oil are needed when the landscaper uses four gallons of gasoline? Create a double line
diagram to solve this problem
Answers
Answer:
Step-by-step explanation:
To solve this problem using a double line diagram, we can start by drawing two parallel lines representing the two quantities in the ratio:
Gasoline: |----------------------|
Oil: |-----------------|
We know that the ratio of gasoline to oil is 1 gallon to 2.6 ounces. We can use this ratio to divide the lines into equal parts. Since 1 gallon equals 128 ounces, we can divide the gasoline line into 128 equal parts, each representing 1 ounce. Then, we can divide the oil line into 2.6 equal parts, each representing 2.6 ounces.
Gasoline: |--------|--------|--------|--------|--------|--------|--------|--------|--------|--------|--------|--------|--------|--------|--------|--------|--------|--------|--------|--------|--------|--------|--------|--------|--------|--------|--------|--------|--------|--------|--------|
Oil: |-----|-----|-----|-----|-----|-----|-----|-----|-----|-----|-----|-----|-----|-----|-----|-----|-----|-----|-----|-----|
Now, we can use the diagram to find out how many ounces of oil are needed when the landscaper uses four gallons of gasoline. To do this, we can simply count the number of parts on the oil line that correspond to four gallons on the gasoline line:
Gasoline: |--------|--------|--------|--------|
Oil: |-----|-----|-----|-----|-----|-----|-----|-----|-----|-----|-----|-----|-----|-----|-----|-----|-----|-----|-----|-----|
From the diagram, we can see that 4 gallons of gasoline correspond to 104 parts on the gasoline line. Therefore, the landscaper needs:
104 parts × 2.6 ounces per part = 270.4 ounces of oil
So, the landscaper needs 270.4 ounces of oil when using four gallons of gasoline at a ratio of 1 gallon to 2.6 ounces of oil.
Answer:
To find out how many ounces of oil are needed when using four gallons of gasoline, we can use a proportion:
1 gallon of gasoline : 2.6 ounces of oil = 4 gallons of gasoline : x ounces of oil
Simplifying this proportion, we get:
x = (4 gallons of gasoline x 2.6 ounces of oil) / 1 gallon of gasoline
x = 10.4 ounces of oil
Therefore, the landscaper will need 10.4 ounces of oil when using four gallons of gasoline.
Here's a double line diagram to solve this problem:
1 gallon of gasoline : 2.6 ounces of oil
4 gallons of gasoline : x ounces of oil
To solve for x, we can cross-multiply and get:
1 gallon of gasoline x x ounces of oil = 4 gallons of gasoline x 2.6 ounces of oil
x = (4 gallons of gasoline x 2.6 ounces of oil) / 1 gallon of gasoline
x = 10.4 ounces of oil
Step-by-step explanation:
hope its help <;
Evaluate f(x) = e^3x+1 when x = 1. (Round to three decimal places.) Provide your answer below: f(1) =
Answers
Given the function :
\(f(x)=e^{3x}+1\)We need to evaluate the function when x = 1
so,
\(\begin{gathered} f(1)=e^{3\cdot1}+1=e^3+1=20.0855+1=21.086 \\ \\ f(1)=21.086 \end{gathered}\)======================================================================
If the given function is :
\(f(x)=e^{3x+1}\)so,
\(f(1)=e^{3\cdot1+1}=e^{3+1}=e^4=54.598\)Alexander is a stockbroker. He earns 12% commission each week. Last week, he
sold $5,400 worth of stocks. How much did he make last week in commission? If he averages that
same amount each week, how much did he make in commission 2011?
Answers
Answer:
A) $648 B) $33,696
Step-by-step explanation:
attached
Please answer these questions on circumference for BRAINLIEST and extra points if correct! Show you work please
Answers
I attached the document with the answers and work with the formulas. Since the formulas and fractions don't work very well with this site (especially the pi symbol, they should fix that).
:)
See picture for problem. Please answer if you know
Answers
Answer: rx-sx= -2x^2
rx+sx=4x^2+8x
(r)(s)=3x^2+16x+16
Step-by-step explanation: Hopefully this helps! :)
Solve the system of equations by the addition method.−2x−y=0 10x+y=−8
Answers
Answer:
(-1, 2)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Algebra I
Solving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define Systems
-2x - y = 0
10x + y = -8
Step 2: Solve for x
Elimination
Combine equations: 8x = -8Isolate x: x = -1Step 3: Solve for y
Define equation: -2x - y = 0Substitute in x: -2(-1) - y = 0Multiply: 2 - y = 0Isolate y term: -y = -2Isolate y: y = 2Answer:
Step-by-step explanation:
-2x -y = 0
10x+ y= -8
8x = -8
x = -1
-10 + y = -8
y = 2
(-1, 2)
Tickets for the school play sell for $4 each. Which graph shows the relationship between the number of tickets solo
(x) and the total income from the tickets (y)?
Answers
Answer:
I do not see all the graphs but it would be the reverse of what is shown for A. graph. The tickets sold to total income would have to be a 1:4 ratio where every 4 dollar leap in the y-axis is a one point (1 unit change in x).
Step-by-step explanation:
what is the slop of y= -5+4x
Answers
Hey there! :)
Answer:
m = 4.
Step-by-step explanation:
We are given the formula y = -5 + 4x. Rearrange the equation to be in proper slope-intercept form (y = mx + b)
Where 'm' is the slope and 'b' is the y-intercept. Therefore:
y = -5 + 4x becomes y = 4x - 5
The 'm' value is equivalent to 4, so the slope of the equation is 4.
Answer:
4
Step-by-step explanation:
because of y= mx + b where m is the slope
m= 4 in the equation
Aris and Josiah are reading a 50-page book for their ELA class. Aris wants to know what page Josiah is reading. Josiah gives her two hints: 1. The product of the two page numbers he can see is 930. 2. The page he is reading is an odd numbered page.
Answers
Answer:
31
Step-by-step explanation:
Let x and (x + 1) be the page numbers Josiah can see
Hint 1: x(x + 1) = 930
⇒ x² + x = 930
⇒ x² + x - 930 = 0
Using quadratic formula,
\(x = \frac{-b\pm\sqrt{b^2 -4ac} }{2a}\)
a = 1, b = 1 and c = -930
\(x = \frac{-1\pm\sqrt{1^2 -4(1)(-930)} }{2(1)}\\\\= \frac{-1\pm\sqrt{1 +3720} }{2}\\\\= \frac{-1\pm\sqrt{3721} }{2}\\\\= \frac{-1\pm61 }{2}\\\)
\(x = \frac{-1-61 }{2}\;\;\;\;or\;\;\;\;x= \frac{-1+61 }{2}\\\\\implies x = \frac{-62 }{2}\;\;\;\;or\;\;\;\;x= \frac{60 }{2}\\\\\implies x = -31\;\;\;\;or\;\;\;\;x= 30\)
Sice x is a page number, it cannot be negative
⇒ x = 30 and
x + 1 = 31
The two pages Josiah can see are pg.30 and pg.31
Hint 2: The page he is reading is an odd number
Out of the pages 30 and 31, 31 is an odd number
Thereofre, Josiah is reading page 31
I company sells concrete in batches of 5 yd.³ the probability distribution of X the number of cubic yard sold in the single order for concrete from this company shown in the table below the expected value of the probability distribution of X is 19.25 and the center deviation is 5.76 there's a fixed cost to deliver the concrete The Profit why in dollars for to particular order can be described by Y equals 70 5X -100 what is the standard deviation of why
432
Answers
The standard deviation of Y is 432.
A company sells concrete in batches of 5 yd³.The probability distribution of X, the number of cubic yards sold in a single order for concrete in batches from this company, is shown in the table below.The expected value of the distribution of X is 19.25 and the standard deviation is 5.76.There is a fixed cost to deliver the concrete in batches. The profit Y, in dollars, for a particular order in a company can be described by(Y = 75X - 100)
The formula of the standard deviation is :
SD(Y) = SD(75X - 100)
Substituting the value of SD(X) and SD(100) in the above expression.
SD(Y) = 75SD(X) - SD(100)
SD(Y) = 75 SD(X) - 0
SD(Y) = 75 × 5.76
SD(Y) = 432
Hence, the standard deviation of Y is 432.
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7 cameras cost $308. The cost of each camera is the same. What is the cost of each camera?
Answers
Answer:
$44
Step-by-step explanation:
Hello!
It said that 7 cameras cost $308, right?
If each camera costs the same, it means that 7 cameras with the same value equal $308.
If we use this in an equation, and if x is a variable we want to solve, it would be:
7x = 308.
If 7x = 308, it would be
308/7 =
44.
So, $44 is the answer.
A Calculator salesman’s monthly income is $1500 salary plus a commission of 7% of his sales over $5000 what was his income the month that he sold $11,470 in calculators
Answers
$142428 income earned. A sales commission is a payment made to an employee after they successfully complete a task, typically selling a predetermined volume of goods or services.
What is commission?A type of variable-pay compensation for goods or services sold are commissions. Salespeople are frequently encouraged and rewarded with commissions. Additionally, commissions can be created to promote particular sales habits. For instance, commissions may be decreased while providing significant discounts.
Let X be the sales for a man
so7% of sales=7x/100
Total that needs to be earned=$11470
So,
Total needs to be earned= salary +commission on sale
11470=1500+7x/100
11470-1500=7x/100
9970=0.7x
X=9970/0.7
X=142428
Therefore $142428 income earned .
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The amount of money earned varies directly as the number of hours worked. After working 14 hours, Joe earned $119. How
much would Joe earn for working 20 hours?
Answers
Joe earned $140 for working 20 hours
To determine the value of a single unit from a specified multiple, use the unitary technique. How to determine the value of one pen, for instance, if the cost of 40 pens is Rs. 400. The unitary approach can be used to complete it. Additionally, after determining the value of a single unit, we can multiply that value by the number of units needed to determine the value of the additional units. The concept of ratio and proportion is mostly applied using this way.
Joe worked 14 hours and earned = $119
Joe worked for 1 hour and earned = $ 119/ 14
Joe worked for 20 hours and earned = $ 119/ 14 x 20
= 4140
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2
6. В одном мотке было 75 сантиметров проволоки.
После того как от проволоки отрезали несколько
сантиметров, в мотке осталось 32 сантиметра.
Сколько сантиметров проволоки отрезали от
мотка?
Answers
Answer:
Step-by-step explanation:
После того как от проволоки отрезали несколько
сантиметров, в мотке осталось 32 сантиметра.
Сколько сантиметров проволоки отрезали от
мотка?
Mathematicias pls help me ples
Answers
This problem is relatively simple. Before we begin, it might be beneficial to imagine the graph as a vertical number line. Imagining it this way makes it easy to count the units between them and gives you the answer: \($\boxed{4}$\).
Here's a slightly more advanced way to think about it:
The example question tells us to subtract the distance between the two points. The formula for this is \(\sqrt{\big{(}(x_{2}-x_{1})+(y_{2}-y_{1})\big{)}^2\), but for this question, let's say that it is \(\sqrt{(y_{2}-y_{1})^2\), or, to simplify it even more, \($|y_{2}-y_{1}|$\). Now that we know the formula, we can substitute our y-values into the last formula and solve. Let's say that Point C is our first point and Point D is our second.
\(\big{|}(-8)-(-4)\big{|} = \big{|}-8+4\big{|} = \big{|}-4\big{|} = \boxed{4}\) , so \($4\text{ units}$\) is our answer.
Disclaimer: Neither of the last two formulas I provided is the actual formula, just a version of the Distance Formula that might be easier to understand. The first formula is the actual thing, but you will encounter this in math later in life, probably around 8th or 9th grade.