Answers
AE is congruent to CE.We can prove by assuming two triangle in the given diagram and by using SAS rule.
How do you find congruent triangles?If all the three sides of one triangle are equivalent to the corresponding three sides of the second triangle then the two triangles are said to be congruent by SSS rule. In the above-given figure, AB= PQ, BC = QR and AC=PR, hence Δ ABC ≅ Δ PQR.
What is an alternate angle in a triangle?Alternate angles are angles that occur on opposite sides of the transversal line. If two parallel lines are cut by a transversal then the alternate angles are equal.The pair of angles formed on the inner side of the parallel lines but on the opposite sides of the transversal are called alternate interior angles.
Now we have
Given a triangle ABC.Where E is the midpoint of AC. We have to prove that AE is congruent to CE.
In ΔAED and ΔCED
ED=ED (∵Common side are equal)
∠AED=∠CED (∵Alternate angles)
∠A=∠C (∵Alternate angles)
By ASA rule, ΔAED≅ΔCED
By Corresponding Parts of Congruent triangles
AE=EC
Hence, AE is conruent to CE.
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Related Questions
Edwin has already taken 4 pictures at home, and he expects to take 11 pictures during every day of vacation. Is the total number of pictures taken proportional to the number of days spent on vacation?
Answers
Yes
Explained:
For every day he spends on holiday there will be 11 photos takes so to the ratio of days on holiday to photos taken it will be 1:11 and each day is 11 photos therefore yes the number of pictures takes in proportional to the number of days spent on vacation
1+1=2
2+2=1
1+2=1-2
1-1+2-2
==21 the answer is 21 ok get the :-
6+6=12=?
Answers
Answer:
6-6
........................
3, is less than, x, minus, 10
Answers
Answer:
= or >14
Step-by-step explanation:
x needs to be equal to or greater than 14
Find the value of x. Round to the nearest tenth. Help please!!!
Answers
Answer:
x=3
Step-by-step explanation:
Right triangle so you can use pythagorean theorem
a squared + b squared = c squared
b=x
14^2 + b^2= 17^2
14+b=17
b=3
De las soluciones de la siguiente ecuación: x2 + 8x − 30 = 18? Cual es el numero de mayor valor Entre.
Answers
Answer:
The correct answer is "x = 4" and "x = -12".
Step-by-step explanation:
The given equation is:
⇒ [tex]x^2+8x-30=18[/tex]
On subtracting "18" from both sides, we get
⇒ [tex]x^2+8x-30-18=18-18[/tex]
⇒ [tex]x^2+8x-48=0[/tex]
On applying factorization, we get
⇒ [tex]x^2+12x-4x-48=0[/tex]
On taking common, we get
⇒ [tex]x(x+12)-4(x+12)=0[/tex]
⇒ [tex](x-4)(x+12)=0[/tex]
⇒ [tex]x-4=0[/tex]
[tex]x=4[/tex]
or,
⇒ [tex]x+12=0[/tex]
[tex]x=-12[/tex]
Write the expression in expanded notation for (-3 power of 5)
Answers
Step-by-step explanation:
A. Base = (-3)
B. Exponent = 5
C. (-3)^5
= (-3) × (-3) × (-3) × (-3) × (-3) (In expanded notation form)
D. Evaluation of equation will be = -243
help me please this is due today
Answers
Answer:
it is D.
Step-by-step explanation:
I wish it helps you
Answer:
I think its D
Step-by-step explanation:
cuase the fruits are cheap and it's the lowest
Six times the sum of a number and 25 is at least 30
Answers
Answer:
Step-by-step explanation:
Let the number be x then:.
According to the question:
6 * (x + 25) = 30
therefore,
x + 25 = 30 / 6
x + 25 = 5
x = 5 - 25 = -20
A rope that is 6 meters long will be cut into 24 pieces that are all of the same
length. What will be the length of each piece, in centimeters?
Answers
Answer: I would say 4 centimeters
Step-by-step explanation: Well if 24 divided by 6 equals 4 then I would say 4
Based on the length of the rope and the number of pieces it is to be cut into, the length of each piece will be 25 cm long.
First covert the length of the rope to centimeters:
= 6 x 100
= 600 cm
The length of each piece will be:
= Length of rope / Number of pieces
= 600 / 24
= 25 cm
In conclusion, each piece will be 25 cm long.
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A "Pick 2" lottery game involves drawing 2 numbered balls from separate bins each containing balls labeled from 0 to 9. So there are 100 possible selections in total: 00, 01, 02, ..., 98, 99. Players can choose to play a "straight" bet, where the player wins if they choose both digits in the correct order. Since there are 100 possible selections, the probability a player wins a straight bet is 1/100. The lottery pays $50 on a successful $1 straight bet, so a player's net gain if they win this bet is $49. Let X represent a player's net gain on a $1 straight bet. Calculate the expected net gain E(X). Hint: The expected net gain can be negative. E(X) = dollars
Answers
Answer:
The probability of winning a straight bet is 1/100, and the payout is $50, so the expected value of a winning bet is (1/100) * $50 = $0.50.
The probability of losing a straight bet is 99/100, and the cost of the bet is $1, so the expected value of a losing bet is (99/100) * -$1 = -$0.99.
Therefore, the expected value of a straight bet is $0.50 - $0.99 = -$0.49.
Simplifying algebraic expression
Answers
Answer:
-33
Step-by-step explanation:
Plug 9 in for c, then simplify the resulting expression.
5c - 9c + 3
5(9) - 9(9) + 3
↓ execute multiplication
45 - 81 + 3
↓ simplify by adding 81 and 3
45 - 84
↓ execute subtraction
-33
Answer:
[tex] \sf \: - 33 \: (if \: c = 9)[/tex]
Step-by-step explanation:
Given expression,
→ 5c - 9c + 3
Now we have to use,
→ c = 9
Simplifying the given expression,
→ 5c - 9c + 3
→ 5(9) - 9(9) + 3
→ 45 - 81 + 3
→ -36 + 3
→ -33 => (answer)
Hence, required answer is -33.
1.The income of man increase in the ratio 7 : 8 . If the increase in his income is rs 4500 per month find his new income.
2.The ages of two sister are in the ratio 7 : 5 if the age of elder sister is 15 years 9 months, what is the age of younger sister.
Answers
The new income is new income.
Rs. 36000 per month. 6 years and 6 months.What is the new income.?Generally, To find the new income of the man, we can use the formula: New Income = Original Income + Increase in Income
Since the ratio of increase in income is 7:8, we can assume the original income to be 7x and the new income to be 8x.
The increase in income is given as Rs. 4500 per month, so we can set up the equation as:
8x = 7x + 4500
By solving for x, we get that
x = 4500.
Therefore, the new income of the man is
8x = 8 * 4500
= Rs. 36000 per month.
b)
The ages of the two sisters are in the ratio 7:5. If the elder sister is 15 years 9 months old, we can assume her age in months to be
15*12 + 9 = 189 months.
Let's assume x be the age of younger sister in months.
So, according to the ratio 7:5, we can set up the equation as:
x = (5/12)*189
By solving this equation we get
x= 78.75 months, which is roughly 6 years and 6 months.
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Molly drew a blue line that was 19 1/12 inches long. Then she drew a green line that was
8 5/12 inches long. How much longer was the blue line than the green line?
Answers
Answer:
10 2/3 inStep-by-step explanation:
Subtract the values:
19 1/12 - 8 5/12 = 18 13/12 - 8 5/12 =18 - 8 + 13/12 - 5/12 = 10 + 8/12 =10 8/12 = 10 2/3 inILL GIVE BRAINLIES IF CORRECT
Answers
YOUR WELCOME
Can someone answer this please
Answers
Answer:
I think it's m=8, c=0.
Step-by-step explanation:
If c is not 0 then c=-1
Resolve into factor
p⁴+7p²q²+16q⁴
Answers
Answer:
15 q4. + 7p2q2 is the correct answer
charlotte is 7 miles south of concord and matthews is 13 miles west of charlotte. what is the distance from concord to matthews? give answer in simplest form
Answers
The distance from concord to Matthews is solved to be 14.8 miles
How to find the distanceInformation from the question include
charlotte is 7 miles south of concord
Matthews is 13 miles west of charlotte
the distance from concord to matthews = ?
The required distance is solved using using Pythagoras theorem given by the the formula
hypotenuse² = opposite² + adjacent²
plugging the values as in the problem
let x be the required distance
x² = 13² + 7²
x² = 169 + 49
x² = 218
x = √218
x = 14.7648
x = 14.8 (to 3 SF)
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Is 5x 3y a linear equation in two variables?
Answers
Yes, 5x - 3y = 7 is a linear equation in two variables (x and y)
A linear equation in two variables is an equation in the form ax + by = c, where a, b, and c are real numbers and a and b are not both 0. In this equation, 5x 3y, the coefficients of the variables are 5 and 3, respectively, so a = 5 and b = 3. Therefore, 5x 3y is a linear equation in two variables.
A linear equation in two variables (x and y) is an equation that can be written in the form ax + by = c, where a and b are real numbers and a and b are not both 0. This means that any equation that has two variables with real coefficients will be a linear equation. For example, 5x 3y is a linear equation in two variables because the coefficients of the variables x and y are 5 and 3, respectively. Therefore, 5x 3y is a linear equation in two variables.
the complete question is : Is 5x-3y=7 a linear equation in one variable?
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How do you find the y-intercept without a calculator?
Answers
In the equation y = mx + c if we substitute the value of x as zero we will get a point on the y axis given by y =(m × 0) + c ⇒ y = c. Therefore the point of the line on the y axis is (0, c) and so c is also called the y -intercept of the line.
Now, According to the question:
i) from the general equation of line we know that any line can be represented in the form y = mx + c , where m is a constant and is called the slope of the line and c is also a constant and is the y-intercept.
ii) In the equation y = mx + c if we substitute the value of x as zero we will get a point on the y axis given by y =(m × 0) + c ⇒ y = c. Therefore the point of the line on the y axis is (0, c) and so c is also called the y intercept of the line.
iii) If for example we have the line 3y = 6x + 12 then we first get this equation of the line to match the general form of the equation of the line, that is y = mx + c. Therefore dividing both the left and the right sides of the given equation of the line by 3 we get y = 2x + 4 which matches with the general form of the equation for line and we see that the slope of the given line is m = 2 and the y intercept is given by c = 4.
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Order of operation help help help I have 10 min on the timer left!!! NO LINKS!!!!!!
Answers
Answer:
-11
Step-by-step explanation:
Answer:
I believe it's 39.
(9 - 2)^2 - |3 - 17| + 4
(7)^2 - |-14| + 4
49 - 14 + 4
35 + 4
39
Need help ASAP! due soon
Answers
Answer:
y= 2x
Step-by-step explanation:
no y cause the y-intercept is 0, so just y=2x
and i got 2 from dividing 24/12 and 48/24 giving me the x.
Answer:
Step-by-step explanation:
Two points on this line are (36, 72) and (0, 0). These are 'nice' points in that they are exactly at the intersection of grid lines.
The slope can be found immediately from (36, 72) if the other point is (0, 0):
m = rise / run = 72/36 = 2
Adapting the slope-intercept formula y = mx + b, and using the point (0, 0), we get 0 = 2(0) + b, which tells us that b = 0. Then the equation of the line in this graph is y = 2x.
the hcf of 13 and 13
Answers
Answer: The answer is 3
Step-by-step explanation:
Factors of 13 are 1, 13, and there are 2 integers that are factors of 13. The greatest factor of 13 is 3
does anyone know geometry really well?? and can help me pleaseee? i have missing assignments because i dont understand one single thing :/
Answers
Answer:
where is the question?
Step-by-step explanation:
Step-by-step explanation:
Step-by-step explanation:
Step-by-step explanation:
Step-by-step explanation:
Step-by-step explanation:
Which inequality is shown on the graph?
Answers
( NO LINKS- ) What is the VOLUME of this prism? *
A. 34 inches squared
B. 180 inches cubed
C. 1080 inches cubed
D. 900 inches squared
Answers
Answer:
1080
Step-by-step explanation:
the formula for finding volume is
length x width x height
so 12 x 15 x 6 which is 1080.
Write a system of equations to describe the situation below, solve usi
the blanks.
Parent volunteers at Salem High School are processing yearbook orde
an option to get the basic yearbook or a deluxe option, which includes
protective cover. In Mrs. Wu's class, 21 basic yearbooks and 6 deluxe
ordered, for a total of $2,025. The students in Mr. Boyer's class ordere
and 18 deluxe yearbooks, for a total of $2,763. How much does each
The basic yearbook costs $
and the deluxe yearbook costs $
Submit
Answers
Answer: $52.57 for each basic yearbook and $153.5 for each deluxe yearbook
Step-by-step explanation:
First, do Mr. Boyer's class to find out how much each deluxe yearbook is:
2,763 ÷ 18 = $153.5
Then do, Mrs. Wu's class: First, multiply 153.5 by the 6 deluxe yearbooks ordered;
153.5 x 6 = 921
After, subtract 921 from 2,025:
2,025 - 921 = 1104
The remaining $1104 is the total cost of the 21 basic yearbooks ordered. Divide the total cost by the number of yearbooks ordered to find the unit price:
1104 ÷ 21 = 52.5714285714
Round to the nearest hundredth: $52.57
Please give brainliest
If y=4x - 1, find the value of y
when x = -2 (please help)
Answers
Answer:
7
Step-by-step explanation:
x = - 2
y = 4x - 1
= 4 ( 2 ) - 1
= 8 - 1
y = 7
y=4x-1
y=4×-2-1
y=-8-1
y=-9#
Is a log graph increasing or decreasing?
Answers
A log graph can be either increasing or decreasing, depending on the function or data being graphed.
A log graph is a type of graph that displays the data on a logarithmic scale. That is, the values of the data are represented on a logarithmic scale, rather than on a linear scale. This type of graph is useful for displaying data or functions that span a wide range of values over a large range of exponents. The direction of the graph depends on the data being graphed or the function being shown. If the values of the data or the function being graphed increase over time, then the graph will be increasing. Conversely, if the values of the data or the function being graphed decrease over time, then the graph will be decreasing.
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The equation for the circle below is x2 + y2 = 16. What is the length of the
circle's radius?
Answers
Answer:
e) 4
Step-by-step explanation:
This is the form of a circle. Use this form to determine the center and radius of the circle.
(x−h)^2+(y−k)^2=r^2
r=4
h=0
k=0
Question content area top Part 1 Without using paper and pencil, how would you find the sum of 8.8 and 5.5 and ?
Answers
The sum of 8.8 and 5.5 is 14.3
What is addition?Combining objects and counting them as one big group is done through addition. In arithmetic, addition is the process of adding two or more integers together. Addends are the numbers that are added, and the sum refers to the outcome of the operation.
To find the sum of 8.8 and 5.5 without using pen and pencil:
First, we break the term in simple manner.
8.8 = 8 + 0.3 + 0.5
And 5.5 = 5 + 0.5
And now adding the terms one by one,
0.5 + 0.5 = 1.0
0.3 = 0.3
8 + 5 = 13
Addition,
13 + 1 + 0.3 = 14.3
Therefore, the value is 14.3
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