A midpoint is a point that bisects a line into two equal parts.
Given that C is the midpoint of AE, hence;
AC + CE = AE ........ 1
Similarly, if C is the midpoint of BD, then;
BC + CD = BD................... 2
If AE = BD, then we will equate 1 and 2 to have:
AC + CE = BC + CD
Also since CE = BC, the equation becomes
AC + CE = CE + CD
AC = CD (Proved)
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(3)
(2)
2 m
5 m
2 m
5 m
Perimeter:
Area:
Step-by-step explanation:
The area = (5 × 3) + (2 × 3) = 15 + 6 = 21
The perimeter = 2 + 3 + 5 + 5 + 3 + 2 = 20
please give me a brainliest answer
what is the length of the diagonal of a rectangle with width 3,5 cm and length 4,5 cm give your answer in simplest surd form
Answer:
Step-by-step explanation:
By Pythagoras:
d^2 = (3.5)^2 + (4.5)^2
d^2 = 12.25 + 20.25 = 32.5
d = √32.5
[tex]10\times 5\times 13=?[/tex]
Answer:
[tex] = > 10 \times 5 \times 13[/tex]
[tex] = > 50 \times 13[/tex]
[tex] = > 650[/tex]
There were 5 Easter eggs hidden at a party. Kenny found 4 of them. What percent of the eggs did Kenny find ?
Answer:
Kenny found 80% of the eggs.
Step-by-step explanation:
(4 ÷ 5) × 100 = x
0.8 × 100 = x
80% = x
Kenny found 80% of the eggs.
guys pls help me!!!!!!!
Answer:
36°
Step-by-step explanation:
it's the same as the given number.
lines l, m, and n are parallel to each other and the same line is intersecting all three of them. since the 36° angle is in the same placement as the x° angle, they are the same.
have a lovely day <3
This graph gives the temperature of Substance B over time.
What is the slope of the line, and what does the slope mean in this situation?
Select from the drop-down menus to correctly complete the statement.
The slope is , which means that the temperature by degrees every
Answer:
The slope is (4) which means that the temperature (increases) by (4) degrees every minute
Step-by-step explanation:
Compound Interest: Suppose you deposit $250 in a new savings account paying an annual yield of 3% interest. If the account
is left alone, how much money will be in the account at the end of 5 years?
$289.82
Answer:25,347
Step-by-step explanation:
How to draw 0.15+0.36 using a quick picture
Answer:
heres my photo + answer
Step-by-step explanation:
0.15
+ 0.36
____
Some people advise that in every cold weather, you should keep the gas tank of your car more than half full. Irene’s car had 5.8 gallons in the 13- gallon tank on the coldest day of the year. Irene filled the tank with gas that cost $3.70 per gallon. How much did Irene spend on gas?
Answer:
$27.72
Step-by-step explanation:
The information that we have its
The cost gas its $3.60 per gallon
Irene's car had 5.3 gallons
Irene's car tank is 13 gallons
so now for the know, How much did Irene spend on gas?
First
The gas that its necessary for filled de tank its
13gallons-5.3gallons=7.7 gallons
The cost for 7.7 its
7.7g*$3.60/g= $27.72
This rectangular prism was built with cubes that each have a volume of one cubic centimeter.
What is the volume of the rectangular prism?
Answer:
The volume of this rectangular prism is 60.
Step-by-step explanation:
V = L*W*H
( For a rectangular prism )
4 * 5 * 3
Answer:
To find the volume of a rectangular prism, multiply its 3 dimensions: length x width x height. The volume is expressed in cubic units.
I NEED HELP PLEASE!!!!
Answer:
the answer is x=15
Step-by-step explanation:
Answer:
15
Step-by-step explanation:
since angles 84 and 5x + 9 are alternate interior angles they both are equal
i.e
5x +9 = 84
5x = 84 -9
5x = 75
x = 75/5
therefore x = 15
keep smiling
CAN SOMEBODY HELP MEEEE I AM SO BAD AT MATH 5 to the power for 7 times 15 minus 8 minus 5
Answer:
[tex]1,171,862[/tex]
Step-by-step explanation:
Original equation: [tex]5^7 * 15-8-5[/tex]
Remember the PEMDAS rule --> in this case the exponents are first.
[tex]5^7[/tex]= 5*5*5*5*5*5*5 = 78,125
= [tex]78,125*15-8-5[/tex]
The next step to this problem is multiplication because you are starting from left to right and its after the exponents.
= [tex]1,171,875-8-5[/tex]
The last 2 steps is to subtract (from left to right)
= [tex]1,171,867-5[/tex]
= [tex]1,171,862[/tex]
Hope this helps!!!
The two-way frequency table below shows the number of students in a class whose top scores on a standardized test were on the reading, writing, and mathematics sections. Which of these statements is true based on the table?
A.Seventh-grade students tend to do better on the writing section compared to the mathematics and reading sections.
B.Seventh-grade students tend to do better on the mathematics section compared to the reading and writing sections
С.Eighth-grade students tend to do better on the writing section compared to the mathematics and reading sections
D. Eighth-grade students tend to do better on the mathematics section compared to the reading and writing sections.
Answer:
D
Step-by-step explanation:
Eighth-grade students tend to do better on the mathematics section compared to the reading and writing sections.
Bc math is 5 when writing is 3 and the reading is at 1 so math is better
Eighth-grade students tend to do better on the mathematics section compared to the reading and writing sections. Therefore, option D is the correct answer.
Given that, the two-way frequency table shows the number of students in a class whose top scores on a standardized test were on the reading, writing, and mathematics sections.
What is frequency table?A frequency table lists a set of values and how often each one appears. Frequency is the number of times a specific data value occurs in your dataset. These tables help you understand which data values are common and which are rare.
By interpreting the given data table we get
Eighth-grade students tend to do better on the mathematics section compared to the reading and writing sections.
Therefore, option D is the correct answer.
To learn more about the frequency table visit:
https://brainly.com/question/12576014.
#SPJ5
Help me with problem plz
Answer:
It is SAS (side - angle - side)
Step-by-step explanation:
Both BCA and DCE cross from side then the angle and lastly side.
Someone that understands this please help!ASAP it’s 8th grade math
Answer:
simple ( principal *rate*time)/100.
3500*4*10/100 = 1400 interest
account balance =3500+1400=4900
compound p(1+r)^t
3500(1+.04)^10 =3500* 1.480=5180
interest earned = 5180-3500= 1680
how much more interest. ; 1680-1400=280
Answer:
Step-by-step explanation:
Simple Interest:
Simple Interest formula is S.I. = P × r × t
Interest Eared: $3,500 × 0.04 × 10 = $1,400
Account Balance formula is A = P ( 1 + rt )
Account Balance: $3,500 + $1,400 = $4,900
Compound Interest:
Compound Interest formula: [tex]A =P(1+r)^{t}[/tex]
Account balance: $5,180.85
Interest Earned: $5,180.85 - 3,500.00 = $1,680.85
describe rule for pattern 10, 30, 90, …
Answer:
it go by 20 then 30
Step-by-step explanation:
Answer:
see explanation
Step-by-step explanation:
Each term is 3 times the previous term, that is
30 = 10 × 3 = 30
90 = 30 × 3 = 90
There is a common ratio between consecutive terms meaning the sequence is geometric.
Someone help me plz
What is the slope of a line that is parallel to the given line
Answer:
The slope of the parallel line is -3/2
Step-by-step explanation:
Calculate the slope using rise over run then simplify.
-6/4 , -3/2
(x-3)(x+3)(x+2)-(x-1)(x²-3)-5x(x+4)²-(x-5)²
Answer:
-5x^3-38x^2-76x-46=0
answer in comments pls!
Answer:
a)
2x/3 = 8. First, multiply both sides by 3 to make 2x = 24. Then, divide both sides by 2: x = 12.
b)
3x/2 = 6. First, multiply both sides by 2 to make 3x = 12. Then, divide both sides by 3: x = 4.
Hope this helps!
Answer:
A.) x = 12
B.) x = 4
Step-by-step explanation:
A.) 2x/3 = 8
First let’s multiply both sides by three to get rid of our division equation,
2x/3 = 8
*3 *3
2x = 24
Now we divide both sides by 2 to single out our variable,
2x = 24
/2 /2
X=12
Let’s check our answer just to be sure this is correct, we do this by plugging in “12” for our x
2(12)/3 = 8
24/3 = 8
8 = 8
Now we know that x = 12 is true,
B.)3x/2 = 6
Again well will multiply both sides by 2 to remove our division equation,
3x/2 = 6
*2 *2
3x = 12
We divide both sides by 3 to remove our coefficient in front of the variable,
3x = 12
/3 /3
x=4
Let’s check our answer once again,
3x/2 = 6
3(4)/2 = 6
12/2 = 6
6 = 6
X = 4 is true
Can some one help me out and let me know what this is
You must divide by the coefficient (a number before a variable)
Hope this helps you! :)
~Just a joyful teen
[tex]GraceRosalia :)[/tex]
(2x)/(x-1)
Find the derivative using quotient rule
Answer:
Step-by-step explanation:
see pic below for quotient rule
[tex]\frac{(2x)'(x-1)-(2x)(x-1)'}{(x-1)^2}=\frac{2(x-1)-2x}{(x-1)^2}=\frac{2x-2-2x}{(x-1)^2}=-\frac{2}{(x-1)^2}[/tex]
5-2(a+3b)/2 When a=4 and b=1.
Hello macelynn190!
[tex] \huge \boxed{\mathfrak{Question} \downarrow}[/tex]
[tex] \huge \tt \frac{5 - 2(a + 3b)}{2} [/tex]
[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]
To solve this question we need to substitute the given values of 'a' & 'b' in the equation & then simplify it.
Given,
a = 4b = 1Now, substitute this in the place of 'a' & 'b'..
[tex]\large \tt \frac{5 - 2(a + 3b)}{2} \\ = \large \underline{\underline{\tt \: \frac{5 - 2((4) + 3(1))}{2} }}[/tex]
Lastly, simplify it...
[tex]\large \tt \: \frac{5 - 2((4) + 3(1))}{2} \\ = \large \tt\frac{5 - 2(4 + 3)}{2} \\ = \large \tt \: \frac{5 - 2(7)}{2} \\ = \large \tt \: \frac{5 - 14}{2} \\ = \large \tt\frac{-9}{2} \\ = \large \boxed{\boxed{ \bf \: -\frac{9}{2}=-4.5}}[/tex]
The answer is -9/2 or -4.5__________________
Hope it'll help you!
ℓu¢αzz ッ
Given info:-
Simplify: 5-2(a+3b)/2. When a=4 and b=1.
[5-2(a+3b)]/2
Now, put a=4 and b=1 (Because this is given in question only)
so,
⇛[5-2{4+3(1)}]/2
⇛[5-2{4+3}]/2
⇛[5-2{7}]/2
⇛[5-2×7]/2
⇛[5-14]/2
⇛-9/2 Ans.
Similar questions:
Evaluate -[-1⅘ ÷ 0.3(1.2)] - 5/6
https://brainly.com/question/25291603
Question 1.
Write 803,000,000 in scientific notation.
Answer:
Question 2.
Write 0.0000000068 in scientific notation.
Answer:
Question 3.
Write 1.359 × 105 in standard form.
Answer:
Question 4.
The radius of a hydrogen atom is 0.000000000025 meter. How would you express this radius in scientific notation?
L
Answer:
1. 8.03 x 108 2. 6.8 × 10-9 3. 135,900 4. 2.5x10^-11
Step-by-step explanation:
Step 1
To find a, take the number and move a decimal place to the right one position.
Original Number: 803,000,000New Number: 8.03000000Step 2
Now, to find b, count how many places to the right of the decimal.
New Number:8.03000000Decimal Count:12345678
There are 8 places to the right of the decimal place.
Step 3
Building upon what we know above, we can now reconstruct the number into scientific notation.
Remember, the notation is: a x 10b
a = 8.03 (Please notice any zeroes on the end have been removed)
b = 8
Now the whole thing:
8.03 x 108
Step 4
Check your work:
108 = 100,000,000 x 8.03 = 803,000,000
Help me please
Increase 55 by 137%
Answer:
75.35
Step-by-step explanation:
55 (1.37) = 75.35
5 of 8
Here is a list of numbers:
-3, 1, –12, 10, 1, 16, 19, 4, 16,
2
State the median.
Answer:
3
Step-by-step explanation:
9. On election day, registered voters go to a polling place to cast their vote. a. In a town, 273,600 votes were cast in an election. 57% of those who were registered voted. How many registered voters are there in the town? b. Reese claims that if 60% of the registered voters cast 273,600 votes, there would be fewer registered voters than above. Is he correct? Why or why not?
36 men can compete a piece of work in 18 days in how many days will 27 men compete the same work
Step-by-step explanation:
Explanation:
Less Men, means more Days {Indirect Proportion}
Let the number of days be x then,
27 : 36 :: 18 : x
[Please pay attention, we have written 27 : 36 rather than 36 : 27, in indirect proportion, if you get it then chain rule is clear to you :)]
=>27x = 36 * 18
=> x = 24
So 24 days will be required to get work done by 27 men..
Answer:
36 men can complete work in 18 days
so, one man can complete work in 18×36 days
Therefore, 27 can complete work in 18×36/27 = 24 days
Step-by-step explanation:
Find the surface area of the regular hexagonal prism. Round your answer to the nearest hundredth.
A. 528 55 mm
B. 628 55 mm
C. 720 55 mm
D. 860 55 mm
860.55 mm
Explanation:
The surface area of an hexagonal prism, also known as an octahedron, is given by the following formula (since we have the apothem):
S= 6*b*(a+h)
where b = is the side of the base, a is the apothem length, and h = the height
S = 6 * 8 * (4√3 + 11) = 48 * 17.92812 = 860.55 sq mm
Could have also have used another formula without the apothem:
S =3 * √3 * b² + 6 * b * h
S = 3 * √3 * 8² + 6 * 8 * 11 = 3√3 * 64 + 528 = 332.55 + 528 = 860.55 sq mm
Use the graph to estimate the value of y when x=2.5
Answer:
I'm guessing: The value of y is 6.5
Step-by-step explanation:
Mark 2.5 on the x-axis between 2 and 3, then draw a line to meet the graph.
Or use the table , y=3x-1
y=3(2.5)-1
y=7.5-1
y=6.5
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