Answers
Explanation:
( ) . . . . stuff that is given
∠ABE ≅∠DEG . . . . corresponding angles at a transversal
∠ABC +∠CBE = ∠ABE . . . . angle addition postulate
∠CBE = ∠ABE -∠ABC . . . . subtraction property of equality
∠DEF +∠FEG = ∠DEG . . . . angle addition postulate
∠FEG = ∠DEG -∠DEF . . . . subtraction property of equality
∠FEG = ∠ABE -∠ABC . . . . substitution property of equality
∠CBE = ∠FEG . . . . substitution property of equality
CB║EF . . . . converse of corresponding angles theorem
Related Questions
A pack of cinnamon-scented pencils sells for $6.00. What is the sales tax rate if the total cost of the pencils is $6.42?
Answers
Answer:
7%
Step-by-step explanation:
The additional tax is $0.42, we just have to find how much percent the tax ($0.42) is of the original cost ($6.00).
To do this, we can use the following formula:
[tex]\frac{x}{y} = \frac{p}{100}[/tex]
Where x is the part (in this case, the tax ($0.42)), y is the whole (in this case, the original cost ($6.00)), and p being the percent (the tax rate in this case). We can replace the values in:
[tex]\frac{0.42}{6} = \frac{p}{y}[/tex]
We can cross multiply and simplify to find the tax rate:
[tex]0.42y=600\\ y=\frac{600}{0.42} \\ y=0.07[/tex]
We're not done yet! We still need to turn it to percent. But we can do this by just multiplying our result by 100:
[tex]0.07 * 100=7[/tex]
Place the percent sign and we are done.
Hope this helps.
Draw the straight line y=2x-3
Answers
Answer:
graph is in linked files
Step-by-step explanation:
What's the percentage multipier for 0.6%?
Answers
Answer:
Solution Given;
0.6%=0.6/100=0.006
So
0.006 is the percentage multipier for 0.6%.
Let's check
We need to convert it into decimals
0.6%0.6×1/1000.6×0.0010.0060.006 is the answer
choose the number that is less than:3.15 x 10A.1.11 x 10B.9.9 x 10C.36,500D.3.26 x 10
Answers
Troy pays a one-time rental fee of $25 and $15 per day to rent a bicycle.
Write an expression that gives the amount Troy pays to rent
d days
Answers
Answer:
y = 15d + 25 or y = 15x + 25
The function D(t) defines a traveler’s distance from home, in miles, as a function of time, in hours. D(t) = StartLayout enlarged left-brace 1st Row 1st column 300 t 125 , 2nd column 0 less-than-or-equal-to t less-than 2. 5 2nd Row 1st column 880, 2nd column 2. 5 less-than-or-equal-to t less-than-or-equal-to 3. 5 3rd Row 1st column 75 t 612. 5, 2nd column 3. 5 less-than t less-than-or-equal-to 6 EndLayout Which times and distances are represented by the function? Select three options. The starting distance, at 0 hours, is 300 miles. At 2 hours, the traveler is 725 miles from home. At 2. 5 hours, the traveler is 875 miles from home. At 3 hours, the distance is constant, at 880 miles. The total distance from home after 6 hours is 1,062. 5 miles.
Answers
The distance in given time t is determined by substituting the value of time and solving the equation.
At 2 hours, the traveler is 725 miles from home.
At 3 hours, the distance is constant, at 880 miles.
The total distance from home after 6 hours is 1,062.5 miles.
Given that,
The function D(t) defines a traveler’s distance from home, in miles, as a function of time, in hours.
D(t) = 300t + 125
We have to determine,
Which times and distances are represented by the function?
According to the question,
The function D(t) defines a traveler’s distance from home, in miles, as a function of time, in hours.
D(t) = 300t + 1251. The starting distance at 0 hours is ;
At [tex]0 \leq t < 2.5[/tex]
Then,
[tex]\rm D(t) = 300t + 125 ;\\\\\ D(0) = 300(0) + 125 = 125 \ miles[/tex]
The starting distance, at 0 hours, is 125 miles.
2. The distance at 2 hours is,
[tex]\rm D(t) = 300t + 125 ;\\\\\ D(2) = 300(2) + 125\\\\ D(2) =600+125\\\\ D(2) = 725 \ miles[/tex]
At 2 hours, the traveler is 725 miles from home.
3. The distance at t = 2.5 hours is,
At 2.5 ≤ t ≤ 3.5
D(2.5) = 880 miles (Fixed)
At 2.5 hours, the traveler is 880 miles from home.
4. The distance at t = 3 hours is,
2.5 ≤ t ≤ 2.5
D(3) = 880 miles
At 3 hours, the distance is constant, at 880 miles.
5. The distance at t = 6 hours is,
3.5 < t ≤ 6
[tex]\rm D(t) = 300t + 125 ;\\\\\ D (6)= 75(6) + 612.5\\\\ D(6) = 450 + 612.5\\\\D(6) = 1062.5 miles[/tex]
The total distance from home after 6 hours is 1,062.5 miles.
For more details about Average distance refer to the link given below.
https://brainly.com/question/25969947
sub duplicate ratio of 16:9 is
Answers
The sub duplicate ratio of 16:9 is
4: 3
Sub duplicate ratiosThe sub-duplicate ratio is found by finding the square root of both the numerator and denominator
The given ratio is 16:9
Find the square root of 16
[tex] \sqrt{16} = 4[/tex]
Find the square root of 9
[tex] \sqrt{9} = 3[/tex]
Combining the two square roots that were found, the sub duplicate is:
[tex] \frac{4}{3} [/tex]
Therefore, the sub duplicate ratio of 16:9 is
4: 3
Learn more on sub duplicate of ratios here: https://brainly.com/question/25881746
a pond of a water has length20m and breadth 10m. how much kl of water should be taken out of the pond so that level of water should go down by 3m?
Answers
Answer:
600 kl
Step-by-step explanation:
The volume represented by a length of 20 m, a breadth of 10 m, and a depth of 3 m is ...
V = (20 m)(10 m)(3 m) = 600 m³
1 m³ = 1 kl
The volume of water that should be removed is 600 kl.
Please I need help asap
Answers
Answer:5/5 then 10-7 then 6/2
Step-by-sanation:
d20) A department store buys 200 shirts at
of $2,400 and sells them at a selling price of $20
each. Find the percent markup.
Pls answer now I need it pls
Answers
Which algebraic expression represents the
following situation: Six fewer seashells than
the total number of seashells in p packages,
each of which has five seashells?
Is it c
Answers
Answer:
Yes, it is c
Step-by-step explanation:
Because there are 5 seashells in p packages, you can do 5p to represent the total. There are 6 fewer sea shells, so it would be 5p-6 to represent the new situation.
Based on the information given, the equation to represent the situation is 5p - 6.
The information given is that there are six fewer seashells than the total number of seashells in p packages, each of which has five seashells.
Therefore, the equation will be:
= (5 × p) - 6
= 5p - 6.
Learn more about equations on:
https://brainly.com/question/2972832
A dress originally priced at 8080 dollars was put on sale for 25\%% off. If 10\% tax was added to the sale price, then the total selling price (in dollars) of the dress was
Answers
Answer: If the dress orginially priced at 8080 dollars and put for 25 percent, that means that you have to move the decimal point to the left twice which will result as 0.25 and 10 percent tax ends up as 0.10. Multiply the two and the product, you have to add to the 8080!
Step-by-step explanation:
what type of solution results in exactly one
x and one y value?
Answers
Answer:
An independent system of equations
Greg is recording the changes in his bank account balance. In the morning, he records a deposit of $7. In the afternoon, he records a purchase of
$8
Create two expressions that each represent the total change in Greg's bank account balance after his deposit and purchase. Move numbers
to the lines to create the expressions.
Expression a: _-_
Expression b: _-_
Choices -8, -7, 7, 8
Answers
Answer:
Step-by-step explanation:
i think that it is either -7 - -8 or -7 + 8 or -7+-8.
Two expressions that each represent the total change in Greg's bank account balance after his deposit and purchase are
Expression a = 7 - 8
Expression b = -8 - (-7)
What is expression?Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between. The mathematical operators can be of addition, subtraction, multiplication, or division.
For example, x + y is an expression, where x and y are terms having an addition operator in between.
Given,
Greg records deposit of $7
He records purchase of $8 b
Total change = 7 + (-8)
Expression a = 7 - 8
Expression b = -8 - (-7)
Hence, 7 - 8 and -8 - (-7) are the two expressions for total change in Greg's bank account after his deposit and purchase.
Learn more about expression here:
https://brainly.com/question/14083225
#SPJ2
Use the standard algorithm to solve 4,761 ÷ 23 = ________.
Answers
Answer: 207 Remainder 0
Step-by-step explanation:
HELP PLZ I NEED THIS DONE ASAP
Answers
[tex]\text{Given that,}\\\\y^2 +9y +3 \\\\\text{when}~ y = -2,\\\\(-2)^2 +9(-2) +3 = 4-18+3 = 7 -18 = -11,[/tex]
Learning Task 3: Solve the following problems. Write your SOLUTION and
your answers in you notebook.
1. What is the quotient if 24 is divided by 48?
2. Jean has 35 m of wire for hanging pictures. She wants to divide it into
50 pieces for her frames. How long will she use for each frame?
3. Father left Php5.00 for his 7 children. How much did each child
receive?
4. Mang Ricky is a hardworking man who owns 6 hectares of land. In his
will, he divided his lot equally among his 7 sons. How much land will
each of his son receive?
5. Troy and Raffy went to the market to buy 15 kilos of meat. When they
came home, they divided the meat into 16 parts and put each part in
separate plastic bags for future use. How many kilos of pork does each
bag contain?
Answers
1. The quotient is 0.5.
2. She will use 0.7m long for each frame.
3. Each child received 0.71 Php.
4. Each son will receive 0.85 hectares.
5. Each bag contains 0,93 kilos.
1. What is the quotient if 24 is divided by 48?24 / 48 = X0.5 = X2. Jean has 35 m of wire for hanging pictures. She wants to divide it into 50 pieces for her frames. How long will she use for each frame?35 / 50 = X0.7 = X
3. Father left Php5.00 for his 7 children. How much did each child receive?5/7 = X0.71 = X
4. Mang Ricky is a hardworking man who owns 6 hectares of land. In his will, he divided his lot equally among his 7 sons. How much land will each of his son receive?6/7 = X0.85 = X
5. Troy and Raffy went to the market to buy 15 kilos of meat. When they came home, they divided the meat into 16 parts and put each part in separate plastic bags for future use. How many kilos of pork does each bag contain?15/16 = X0,93 = X
Learn more about maths in https://brainly.com/question/25927059
Which number sentence is not true?
101 < 100
101 = 0
|-100[< 101
1-100] > [0]
Answers
The first one & the second one
Answer:
Both first and second one are not true.
Step-by-step explanation:
The first one translates to "101 is less than 100". This statement is false.
Second one translates to " 101 is equal to 0". Obviously, this isn't true.
Hope this helps! Brainliest would be appreciated!!
CAN SOMEONE HELP ME PLEASE ASAP!?
Answers
Answer:
<
Step-by-step explanation:
which is equivalent to 2^-3/2^2
Answers
Answer:
[tex]1/32[/tex]
Step-by-step explanation:
To understand this question you would first of all need to know about negative exponents and multiply fraction by integers.
Example I would like to find out [tex]2^{-2}[/tex],
You would first normally solve this question by squaring, which would result in 4 then divide it by 1. Like this: [tex]1/2^{2}[/tex]
Which would be 0.25 or 1/4
Lets apply this knowledge to the following question:
1. [tex]2^{-3} / 2^{2}[/tex]
2. [tex]\frac{1}{8} / 4[/tex]
3. [tex]1/32[/tex]
A motor-boat takes the same time to travel 80 miles downstream as it takes to travel 60 miles upstream. If the speed of the stream is 5 miles/hr, find the speed of the motor-boat in still water.
Answers
Speed is the ratio of distance travelled to time taken. It is given by:
Speed = distance / time
Let a represent the speed of the motor boat in still water and t represent the time. Hence for downstream:
a + 5 = 80/t
t = 80/(a + 5)
For upstream:
a - 5 = 60/t
a - 5 = 60 / (80/(a + 5))
a - 5 = 0.75a + 3.75
0.25a = 8.75
a = 35 miles per hour
The speed of the motor-boat in still water is 35 miles per hour.
Find out more on speed at: https://brainly.com/question/751218
Multiplying radicals. Simplify
Answers
Answer:
[tex]\sqrt[9]{10}[/tex]
Step-by-step explanation:
When you're multiplying radicals you start by multiplying inside the radical. Break it down so it's easier for you:
1. [tex]\sqrt{15}*\sqrt{6} = \sqrt{90}[/tex] beacause 15 * 6 = 90
2. The next step is to simplify that radical. You simplify by finding factors of that number. The factors of 90 are:
1 * 902* 453 * 305 * 186 * 159 * 10You want to take the biggest factors of that number (yours is 9 * 10). After that you are going to break it down more. What are the factors of 9 and what are the factors of 10? Well the biggest factors of 9 are 3 * 3 and the biggest factors of 10 are 5 * 2, so 10 cannot be broken down anymore because it doesn't have two of the same numbers so 10 is going to stay the same, but 9 has two of the same number (3). What we're left with is [tex]\sqrt[3]{10}[/tex] because the same numbers stay out of the radical and the single number stays inside.
3. We can't forget about the 3 that we left out, so what we're going to do is write [tex]3 *\sqrt[3]{10}[/tex]. When you multiply that out you keep the outside with the outisde which results in the answer being [tex]\sqrt[9]{10}[/tex] because this cannot be simplified anymore.
There are 40 slices of pizza at the party that are shared equally between 8 people. Peter ate 3 slices of pizza before he came to the party. How many slices of pizza did Peter eat in all?
Answers
Answer:
that depends if it's taken in consideration the pizzas that he ate were from the 40 slices or not
Answer:
he ate 5 slices
Step-by-step explanation:
40/8=5 you would thinks you are timeing the answerCan someone help me with this x / 12 = -8
Answers
X/12 = -8
Solve for x by multiplying both sides by 12
X = -96
Answer:
X=12*-8-----> X= -96. multiply 12 by -8
Please Help Me!
Solve for x. Round to the nearest tenth if necessary.
Answers
the tan equation is as follows: tan(angle) = opposite/adjacent
adjacent side = 7.7 (adjacent has two angles which lie on the side)
opposite side = x
tan angle = 59
Solving for the opposite side x = tan(59) multiplied by 7.7
x = 12.81 (2 decimal places.)
Simplify please...Simplify Simplify
Answers
Answer:
See images.
Step-by-step explanation:
For these kinds of problems, get a common denominator. Put everything over that common denominator and add or subtract the terms in the numerator. Combine like terms. See images.
Answer:
Here are the answers.
Step-by-step explanation:
what is the answer to 5x+1=3x+7
Answers
Answer:
Step-by-step explanation:
5
+
1
=
3
+
7
5x+1=3x+7
Solve
1
Subtract
1
1
from both sides of the equation
5
+
1
=
3
+
7
5x+1=3x+7
5
+
1
−
1
=
3
+
7
−
1
5x+1{\color{#c92786}{-1}}=3x+7{\color{#c92786}{-1}}
2
Simplify
Subtract the numbers
Subtract the numbers
5
=
3
+
6
5x=3x+6
3
Subtract
3
3x
from both sides of the equation
5
=
3
+
6
5x=3x+6
5
−
3
=
3
+
6
−
3
5x{\color{#c92786}{-3x}}=3x+6{\color{#c92786}{-3x}}
4
Simplify
Combine like terms
Combine like terms
2
=
6
2x=6
5
Divide both sides of the equation by the same term
2
=
6
2x=6
2
2
=
6
2
\frac{2x}{{\color{#c92786}{2}}}=\frac{6}{{\color{#c92786}{2}}}
6
Simplify
Cancel terms that are in both the numerator and denominator
Solution
=
3
Please help what is the answer its a math question find the lcd!!!
Answers
Step-by-step explanation:
sorry I don't now but when I now I will tell you ok but mybe it 12×12×12
Suppose in order for a bill to pass in Congress, 50% of voters must be in favor of it. In a random sample of 150 voters, 62 said that they were in favor of a new bill. State the p-value assuming the alternative hypothesis is Ha ≠.50 (Round to the nearest hundredth.)
Answers
Using the z-distribution, it is found that the p-value is of 0.03.
At the null hypothesis, it is tested if the proportion is of 0.5, that is:
[tex]H_0: p = 0.5[/tex]
At the alternative hypothesis, it is tested if the proportion is different of 0.5, that is:
[tex]H_a: p \neq 0.5[/tex]
The test statistic is given by:
[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]
In which:
[tex]\overline{p}[/tex] is the sample proportion. p is the proportion tested at the null hypothesis. n is the sample size.For this problem, the parameters are: [tex]p = 0.5, n = 150, \overline{p} = \frac{62}{150} = 0.4133[/tex]
Hence, the value of the test statistic is:
[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]
[tex]z = \frac{0.4133 - 0.5}{\sqrt{\frac{0.5(0.5)}{150}}}[/tex]
[tex]z = -2.12[/tex]
The p-value is found using a z-distribution calculator, with z = -2.12 and a two-tailed test, as we are testing if the mean is different of a value, hence it is of 0.03.
To learn more about the use of the z-distribution for hypothesis tests, you can take a look at https://brainly.com/question/16313918
Question 5 (1 point)
(07.07)
Find the product of (x - 5)2. (1 point)
оа
X2 + 10x + 25
Ob
x2 - 10x + 25
OC
X2 - 25
Od x2 + 25
Answers
Answer:
B. x^2 - 10x + 25
Step-by-step explanation:
(x - 5)^2
(x - 5)(x - 5)
x^2 - 5x - 5x + 25
x^2 - 10x + 25