Answers
As C is the mid-point of BD.
Therefore, BC=DC ...(i)
As AB ⊥ BD and ED ⊥ BD
So, ∠ABC= 90° and ∠EDC= 90°
Therefore, ∠ABC=∠EDC= 90° ...(ii)
As two line segments, AE and BD intersect at point C, so the vertically opposite angles are equal.
Therefore, ∠BCA=∠DCE ...(iii)
Now, in ΔABC and ΔEDC,
Angle, ∠BCA=∠DCE [ from equation (iii)]
Side, BC=DC [ from equation (i)]
Angle, ∠ABC=∠EDC [ from equation (ii)]
So, by ASA property of congruency, ΔABC and ΔEDC are congruent
Hence, ΔABC ≅ ΔEDC.
Related Questions
if you have an 90 in a class and took at test but got a 74 what is your new grade
I’m asking because I really want to know my grade for bio thank you
I will give you branlyist if you answer
Answers
Answer:
How must did your teacher say the test would take off but I would say a A- or B
Answer: i think it will be like a 87.81
Step-by-step explanation: pls mark this as braanlyest
Given 18.6 × 4.5, find the product.
83.7
75.33
72.3
8.37
Answers
Answer:
83.7
Step-by-step explanation:
just use ur calculator
what is an equation of the line that passes through the point (-3,1) and is parallel to the line 4x+3y=15?
Answers
[tex]equation \: of \: required \: line \implies[/tex]
[tex]4x + 3y + k = 0-----(1)[/tex]
[tex]since \: it \: passes \: through \: ( - 3,1),[/tex]
[tex] - 12 + 3 + k = 0[/tex]
[tex]k = 9[/tex]
[tex]substituting \: in \: k = 9 \: in \: (1),[/tex]
we get,
[tex]4x + 3y + 9 = 0[/tex]
[tex]hence \: the \: equation \: of \: the \: line \implies[/tex]
[tex] \red{ \boxed{ \bold{4x + 3y + 9 = 0}}}[/tex]
Given the following functions, find and simplify (f. g)(5.5).
Provide your answer below:
(f-g)(5.5)=
f(x) = -x + 6
g(x) = -12x - 6
Answers
Answer:
78
Step-by-step explanation:
To compute (f.g)(5.5) , first compute g(5.5) , then use that value in f(x) to compute the composite function value
g(5.5) = -12(5.5) - 6 = -66 - 6 = -72
Use this value for x in f(x) = -x + 6
f(g(5.5)) = f(-72) = -(-72) + 6 = 72 + 6 = 78
What is the slope of the line shown in the graph below?
Answers
The points: (2,0) and (0,3)
(3-0)/(0-2) = 3/-2 = -3/2
The solution is -3/2
Answer:
the slope is -1.5
hope this helps
Does 6 equal to the absolute value of -6
Answers
Answer:
yes
Step-by-step explanation:
Six more than twice a number is ten. Find the number.
a. Write the equation.
b. Solve for the variable
Answers
Answer:
2x + 6 = 10
x = 2
Step-by-step explanation:
2x + 6 = 10
2x = 4
x = 2
The required number is 2 and
a. The equation is 2x + 6 = 10
b. The variable is x = 2
What are linear equation?A linear equation only has one or two variables. No variables in a linear equation is raised to power greater than 1 or used as denominator of a fraction.
Let x be the number.
Now according to the given statement,
Six more than twice a number is 2x + 6
and it is 10.
So we can write
2x + 6 = 10
Substracting by 6 to the both side we get,
2x = 4
Dividing the equation by 2 we get
x = 2
Hence,The required number is 2 and
a. The equation is 2x + 6 = 10
b. The variable is x = 2
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a semigroup which has a left identity element and in which every element has a right inverse is a group
Answers
Element and in which every element has a right inverse is a group?
Now, If both the identity and the inverse are of the same side, this is simple. For, instead of the above, say every element has a left inverse. For a∈G denote this left inverse by a−1.
Then(aa−1)(aa−1)=a(a−1a)a−1=aa−1
and we can use the fact that
cc=c
⟹c=1
to get that inverses are in fact two-sided: aa−1=1
From which it follows that
a=1⋅
a=(aa−1)a=a(a−1a)=a⋅
1 as desired. But in the scenario given we cannot use cc=c⟹c=1, and I can see no other way to prove this.
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What are the vertex and range of y = |x + 1| + 3?
Answers
According to the given statement
The vertex of the function y = |x + 1| + 3 is (-1,3).
The range of the function y = |x + 1| + 3 is [3,∞)
what is Absolute value function?A function that wraps an algebraic expression in absolute value symbols is known as an absolute value function. Remember that a number's distance from 0 on the number line represents its absolute value.
According to the given information:The vertex of the function y = |x + 1| + 3
The function is given as:
y = |x + 1| + 3
The above function is an absolute value function
An absolute value function is represented as:
f(x) = a |x – h| + k
Where, the vertex is (h ,k)
So, we have:
(h ,k) = (-1,3)
Hence, the vertex of the function y = |x + 1| + 3 is (-1,3).
The range of the function y = |x + 1| + 3 is [3,∞)
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FREE BRAINLEST Reagan has a rectangular bedspread that measures 238 centimeters by 435 centimeters. She wants to sew a fringe around the edge of the bed spring.
what length of ringe dose Reagan need to purchase=1346 centimeters
Reagan gets a new bedspread that is 27 centimeters longer.
what length of fringe dose reagen need for the longer beadspread?
Answers
Answer:
I am only adding this so they can get the brainliest
give it to them
Step-by-step explanation:
1400 cm They are correct!
~You could notify me, but they seem to know this more~
Have a nice day!
^ω^
-- XxFTSxX
Reagan needs to sew a 1346 centimeters fringe around the edge of the bed spring.
Given that, Reagan has a rectangular bedspread that measures 238 centimeters by 435 centimeters.
What is the perimeter of a rectangle?The perimeter of a rectangle is the total distance of its outer boundary. It is twice the sum of its length and width and it is calculated with the help of the formula: Perimeter = 2(length + width).
Now, the perimeter = 2(238+435)
= 2×673
= 1346 centimeters
Therefore, Reagan needs to sew a 1346 centimeters fringe around the edge of the bed spring.
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on khan my progress wont go up and i need 50% and i have 44 help please
Answers
Answer:
watch 2 more videos
Step-by-step explanation:
Ten more than half a number is 9
Answers
If h(x) = −3x − 10, find h(−3).
Answers
Answer:
9
Step-by-step explanation:
h=-3
-3(-3)= 9
Answer:
h(-1)
h= -1
Step-by-step explanation:
slope 3, y-intercept at -4 in slope intercept form
Answers
Answer:
[tex]y = 3x - 4[/tex]
Step-by-step explanation:
To set up a Slop intercept equation the formula is
[tex]y = mx + b[/tex]
mx being the slope
and b being the y-interecpt
Hope this helps!
What is the value of the expression 10(n-6) when n = 14?
Answers
Answer:
80
Step-by-step explanation:
10(n-6)
10(14-6)
10(8)
80
Answer:
80
Step-by-step explanation:
10(n-6) Expression
10 ( 14 - 6 ) Replacing n with 14
10 ( 8 ) Solving the expression in the brackets
80 Removing parenthesis
80!
Find T given that the line segment joining:
(2,5) and (T, T) has gradient 4/7
Answers
The slope (or gradient) can be solved by using this equation:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
m = slope[tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] are two points that fall on the lineSolving the QuestionWe're given:
Line passes through (2,5) and (T,T)Gradient = [tex]\dfrac{4}{7}[/tex]Plug all the given information into the equation above:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}\\\\\dfrac{4}{7}=\dfrac{T-5}{T-2}[/tex]
This means that T - 5 must equal 4 and T - 2 must equal 7.
[tex]T-5=4[/tex]
[tex]T-2=7[/tex]
Isolate T:
[tex]T=5+4[/tex]
[tex]T=9[/tex]
[tex]T=7+2[/tex]
[tex]T=9[/tex]
AnswerT = 9
Jamie is training for race and runs a 9 minute mile. She has cut a total 39 seconds off her time over the past 6 months. The situation can represented by the expression- 39 divided by 6. On average, how much time she cut off of her mile each month? Find the solution and explain what it means in the context of the problem.
Answers
1) On average, the time Jamie cut off her mile each month is 6.5 seconds.
2) In this context, the 6.5 seconds that Jamie cut off her mile each month means that she can finish a 9-minute-mile race by less than 6.5 seconds.
How is the average cut-off time determined?The average cut-off time per month is determined by the mathematical operation of division.
Average refers to the mean of a data set divided by the number in the data set.
Data and Calculations:The race Jamie is training for = a 9-minute mile
Cut-off time achieved in 6 months = 39 seconds
Period of training = 6 months
Average cut-off time = 6.5 seconds (39/6)
Time Jamie can finish the race = 8 minutes and 53.5 seconds (9 minutes - 6.5 seconds)
Thus, Jamie can complete the race in 8 minutes and 53.5 seconds if she maintains the average.
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What are the solutions of 4x^2- x + 9 = 0 ?
PLEASE HURRY AND HELP ITS TIMED!!
Answers
Answer:
Hope this helps luv!
Step-by-step explanation:
There are no solutions. Copy and paste this for more help; 4x^2- x + 9 = 0
WILL GIVE BRAINLIST IF CORRECT! DUE IN 10 MINS
December 10th . 2020
3. Write an equation for each line.
Answers
Answer:
y=4 x= undefined
Step-by-step explanation:
Answer:
red and green line are zero blue and yellow are undefined
Step-by-step explanation:
Find the sale price of the item. Round to two decimal places if necessary.
Original price: $80.00
Markdown: 33%
Answers
Answer:
24$
Step-by-step explanation:
Help!!! Whats The answer, Please explain your answer Marking brainlliest:D......
Answers
6 x (4)^2 = 96
A box of candy had 4 cherry pieces for every 9 lemon pieces. If the box had 45 lemon pieces, how many cherry pieces would there be?
Answers
Answer:
20
Step-by-step explanation:
the perimeter of a rectangle is 62 m.
Answers
Answer:
c o n f u s i o n
Step-by-step explanation:
Uh... I dunno, sure, the perimeter of a rectangle is 62 m, I guess?
Find the Slope m of the line that passes through the pair of points ( -4 , 4 ) and ( -4 , 0 ).
Answers
In an equation it would be 0.5x
ASAP PLZ HELP ME with this
Answers
Answer:
40.9ft
Step-by-step explanation:
14+8+10+8.9 = 40.9
bottom side is 14 because the shape on the left is a rectangle so it will have 10 ft on the bottom as well as top that you have to add on top of the 4ft from the triangle.
6.
Find the HCF of 12ab2, 9ab'c and 36abc.
Answers
Answer:
first make all seperate and find out the commons
Answer:
3ab
Step-by-step explanation:
12ab²= 3*2*2*a*b*b
9abc = 3*3*a*b*c
36abc = 3*3*2*2*a*b*c
HCF = 3ab
I need help asap someone please help me i dont understand this question so can someone help me
Answers
Answer:
we conclude that:
[tex]\frac{2p}{4p^2-1}\div \frac{6p^3}{6p+3}=\frac{1}{2p^3-p^2}[/tex]
Step-by-step explanation:
Given the expression
[tex]\frac{2p}{4p^2-1}\div \frac{6p^3}{6p+3}[/tex]
[tex]\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{b}\div \frac{c}{d}=\frac{a}{b}\times \frac{d}{c}[/tex]
[tex]=\frac{2p}{4p^2-1}\times \frac{6p+3}{6p^3}[/tex]
[tex]=\frac{2p}{4p^2-1}\times \frac{2p+1}{2p^3}[/tex]
[tex]\mathrm{Multiply\:fractions}:\quad \frac{a}{b}\times \frac{c}{d}=\frac{a\:\times \:c}{b\:\times \:d}[/tex]
[tex]=\frac{2p\left(2p+1\right)}{\left(4p^2-1\right)\times \:2p^3}[/tex]
cancel the common factor: 2
[tex]=\frac{p\left(2p+1\right)}{\left(4p^2-1\right)p^3}[/tex]
cancel the common factor: p
[tex]=\frac{2p+1}{p^2\left(4p^2-1\right)}[/tex]
[tex]=\frac{2p+1}{p^2\left(2p+1\right)\left(2p-1\right)}[/tex]
cancel the common factor: 2p+1
[tex]=\frac{1}{p^2\left(2p-1\right)}[/tex]
Expanding
[tex]=\frac{1}{2p^3-p^2}[/tex]
Thus, we conclude that:
[tex]\frac{2p}{4p^2-1}\div \frac{6p^3}{6p+3}=\frac{1}{2p^3-p^2}[/tex]
(this is only 7th-grade math!!) how to find the rates?
also sorry if some of the ones i put are wrong, i have a big headache rn and i cant focus on math
Answers
Answer:
i think under 3 1/2 its 87.50 and under the 4 its 100
Step-by-step explanation:
for every 1/2 hour he gets $12.50
i hope this is right :)
Asphere with a radius of 7 m. What is the volume of the figure? Round your answers to the nearest tenth, if necessary.
a
1436.8m
b
1026.6m
С
1834.9m3
d
11494m
Answers
Answer:
a ) 1436.8 m³Step-by-step explanation:
R = 7 m
[tex]V=\frac43\pi R^3=\frac43\pi\cdot7^3=\frac{1372}3\pi\ m^3\approx1436.8\ m^3[/tex]
because a few extreme scores can create a deceptively large variation, the offers only a crude estimate of the variation in a data set.
Answers
Because a few extreme scores can create a deceptively large estimate of variation, the (B) range offers only a crude estimate of the variation in a data set.
What is a range?The range of a set of numbers is the difference between the highest and lowest values. Subtract the smallest number from the largest number in the set to calculate the range. To calculate the range, find the maximum observed value of a variable and subtract the minimum observed value (the minimum). The range only considers these two values and ignores the data points between the distribution's two extremes.Because a few extreme scores can produce an erroneously large estimate of variation, the range provides only a rough estimate of the variation in a data set.Therefore, because a few extreme scores can create a deceptively large estimate of variation, the (B) range offers only a crude estimate of the variation in a data set.
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The complete question is given below:
Because a few extreme scores can create a deceptively large estimate of variation, the _________ offers only a crude estimate of the variation in a data set.
(A) standard deviation
(B) range
(C) mode
(D) mean