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
Jeremy was 45 inches tall when he started kindergarten. He grew an average of 2.5
inches every year. Jeremy is now 62.5 inches tall.
Which equation can be used to find how many years ago Jeremy started kindergarten,
and how many years ago was it?
Answers
Answer:
subtraction
Step-by-step explanation:
its subtraction because if you do 62.5-2.5 it = 60 and then 60-2.5=57.5 57.5-2.5=55 55-2.5=52.5 52.5-2.5=50 50-2.5= 47.5 47.5-2.5 = 45 s so it was 7 or 8 years ago idk count them see how many times i did it
The population of a city increased by 140 people last year. Which situation, when combined with that increase in population, results in a zero overall change in population?
A. The population of the city decreases by 140 during the next year.
B. The population of the city decreases by 10 people per month during the next year,
C. The population of the city stays constant during the next year.
D. The population of the city increases by 140 during the next year.
Answers
Write an equation to represent the table. (1 point)
Boxes of Candy
5
7
9
Pieces of Candy
80
112
144
Answers
9514 1404 393
Answer:
pieces of candy = 16 × boxes of candy
Step-by-step explanation:
Each "pieces" number is 16 times the corresponding "boxes" number, so we can write ...
pieces of candy = 16 × boxes of candy
__
If you like, you can assign variables. Let x = boxes of candy, and y = pieces of candy. Then you have ...
y = 16x
pls help :( i’ll give brainliest
Answers
Answer:
x=12; Converse of conrresponding angles postulate
Step-by-step explanation:
On parrallel lines the corresponding angles are equal. To find x we can set up the equation up like this:
8x-17=5x+19
Solve
X=12
The converse used was the Converse of Corresponding Angles Postulate
A customer purchased a total of 16 washcloths and towels Each washcloth cost $10.50 and each towel cost $15.00. The customer
spent $226,50 all together.
How many washcloths did the customer buy?
Answers
Answer:
3
Step-by-step explanation:
15*13=195
10.5*3=31.5
195+31.5=226.50
HEELLLPPP ILL GIVE BRAINLIEST
A tree casts a shadow 24ft long. A 6ft man casts a shadow 8ft long. The triangle formed by the tree and its shadow is similar to the triangle formed by the man and his shadow. How tall is the tree?
Answers
Answer:
The answer would be 18 ft tall
Show instructions
Question 24 of 30 Page 24 of 3
Question 24
The temperature at 6:00 A.M. was 58° Fahrenheit. The
temperature increased at a constant rate of 3° Fahrenheit
every hour until 10:00 A.M. The equation below models t as
a function of h where 1 is the temperature and h is the
number of hours.
t = 58 + 3h
Which set represents the range of this function?
{h:0 Sh S 12)
{1:0 SIS 70)
{h:0 shs 4)
11:58 SIS 70)
Answers
Answer:
show pic
Step-by-step explanation:
cant see work, attached qork
Cuantos minutos hay en 4 horas
Answers
Answer:
240
Step-by-step explanation:
Answer:
240 minutos.
Step-by-step explanation:
How many minutes are in 4 hours. Multiply 60 by 4. 60x4=240 minutes.
pls help me solve this
Answers
Answer:
x=10
Step-by-step explanation:
Because BC is a mid segment
Answer:
10
Step-by-step explanation:
These are similar triangles, which means that the ratio between 16 to 8 will equal x+10 to x. This could be written out as 16/8 = x+10/x. 16/8 is 2, which means that x+10 is twice the amount of x. We can write this out as 2x = x+10. We can then simplify this and get x = 10
7x+8(x+1/4)=3(6x-90-8
Answers
Answer:
exact form 296/3 decimal form 98.6666666 mixed number form 98 2/3
Step-by-step explanation:
Answer:
First result: X = 248/3 or 82.67 Second result: X = 260/3 or 86.57
Step-by-step explanation:
1st one: 7x + 8(x + 1/4) = 3(6x - 90 - 8)
7x + 8x + 2 = 18x - 270 - 24
15x + 2 - 2 = 18x - 246 - 2
15x - 18x = 18x - 18x -248
-3x = 248 --> -3x/3 = 248/3
X = 248/3 or X = 82.67
2nd one: 7x + 8(x+1/4) = 3(6x - 90) - 8
7x + 8x + 2 = 18x - 270 - 8
15x + 2 - 2 = 18x - 262 - 2
15x - 18x = 18x -18x - 260
-3x = 260 --> -3x/3 = 260/3
X = 260/3 or X = 86.67
Sorry if none of these are the answer!
SOMEONE PLEASE HELP EVEN IF ITS ON QUESTION ANSWERED OR TWO
Use 45-45-90 & 30-60-90 Special Right Triangles to Solve. find the missing sir length. Leave you answers as radicals in simplest form
Answers
Answer:1) y=20,x=20√2,2) a=12,b=6
Step-by-step explanation:
THIS IS VERY URGENT PLS!!!
Answers
Answer:
The answer is A
Step-by-step explanation:
The answer is A because I had the same question and I got it right.
Question 6
1 pts
Verizon charges a $100 initial contract fee, then $70 a month for a basic cell
phone plan. What is the slope (rate of change)?
Answers
Answer:
Slope is rate of change, so define your values.
-$100 is the initial fee
-$70 is charged per month
per month is the constant rate of change
70 is the slope
The slope (rate of change) of the function is 70.
What is a slope?In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction
If a line passes through two points (x₁ ,y₁) and (x₂, y₂) ,
then the equation of line is
y - y₁ = (y₂- y₁) / (x₂ - x₁) x (x - x₁)
To find the slope;
m = (y₂- y₁) / (x₂ - x₁)
Given:
Verizon charges a $100 initial contract fee,
then $70 a month for a basic cell phone plan.
Let the x be the number of months.
So, the equation,
y = 70x + 100
By comparing with the slope-intercept form,
y = mx + b, where m is the slope.
So, m = 70.
Therefore, 70 is the slope.
To learn more about the slope;
brainly.com/question/3605446
#SPJ2
Jonah earns $12.50 per hour as a marketing intern.
If he works for 4.5 hours, how many dollars does he
earn?
8
8.2
9
56.25
Answers
Answer:
its D/ 56.25
Step-by-step explanation:
because the other numbers are too small
11. What is the range of values of x for a triangle's third side given side measures
of 8 and 15 for the other two sides?
A) Between 8 and 15
B) Between 7 and 23
C) Less than 7, greater than 23
D) Between 8 and 23
Answers
Answer:
B
Step-by-step explanation:
:-)
Answer:
between 7 and 23
Step-by-step explanation:
Suri saved $50 of her paycheck the first week she worked and $25 of her paycheck each week after the first week.
How many weeks did it take Suri to save a total of $1,000?
Answers
Answer: 40 weeks
Step-by-step explanation:
1000/x=25
1000 divided by 25=40
x=40 weeks
in the graph shown below, if lines 1^1 are parallel, then the slope of the line 1^2 is?
Answers
Answer:
Two lines are parallel if the have the same slope. Example 1: Find the slope of the line parallel to the line 4x – 5y = 12. To find the slope of this line we need to get the line into slope-intercept form (y = mx + b), which means we need to solve for y: The slope of the line 4x – 5y = 12 is m = 4/5.Step-by-step explanation:
good morningIf the lines l1 and l2 are parallel, then the slope of line l2 is the same as the slope of line l1.
The slope-intercept definition of a linear function is given as follows:
y = mx + b.
For which the parameters are given as follows:
m is the slope, representing the rate of change of the function.
b is the intercept, representing the value of y when x = 0.
When two lines are parallel, they have the same slope.
Hence, If the lines l1 and l2 are parallel, then the slope of line l2 is the same as the slope of line l1.
More can be learned about linear functions at
brainly.com/question/24808124
#SPJ4
complete question:
In the graph shown below, if lines l 1 l 1 and l 2 l 2 are parallel, then the slope of line l 2 l 2 is
Helppppp
If 4 dogs are in a parking lot, and a bird dies in South America and a train in California is going 40 miles per hour but chef mesoi is cooking spaghetti, but he burns the bread what is the radius of the sun
Answers
Answer:
dolphin wing measuring 2.7 cm
Step-by-step explanation:
if you take the length of the cheese and multiply that by the area of the parking lot, you will notice a w in the equation and w is water in hieroglyphs so you go to the ocean and you see the wing
Answer:
this way the other person gets brainliest
Step-by-step explanation:
Find the sale price of the item. Round to two decimal places if necessary. Original price: $82.00 Markdown: 33%
Answers
Answer:
54.67 Dollars
Step-by-step explanation:
82 / 3 = 27.33, 82 - 27.33 = 54.67 :D
Answer:54.94
Step-by-step explanation:
Please help will mark the brainliest
Answers
Answer:
y=-x-2 this is the answer
Solve this inequality for X.
81 – 11: < 55
OA. 1 > 21
I < 113
OB.
Ос.
3
OD.
I< -21
Answers
Answer:
infinity
pick any answer, its a trick question, it says, SOLVE INEAQUALY
What is (f - g)(x)?
f(x) = 3x?
g(x) = -x? + 4
Answers
Answer:
(f - g)(x) = 4x - 4
General Formulas and Concepts:
Pre-Algebra
Distributive PropertyAlgebra I
Combining Like TermsStep-by-step explanation:
Step 1: Define
f(x) = 3x
g(x) = -x + 4
(f - g)(x) is f(x) - g(x)
Step 2: Find
Substitute: (f - g)(x) = 3x - (-x + 4)Distribute -1: (f - g)(x) = 3x + x - 4Combine like terms: (f - g)(x) = 4x - 4Question 24 (1 point)
Which of the following is NOT a Congruence Postulate/Theorem
SSS
4
АА
SAS
ASA
Answers
In an equation, y varies directly as x varies. If y = 72 when x = 12 what is the value of x when y = 48?
Answers
Answer:
8
Step-by-step explanation:
y=kx where k is a constant.
72=12k
k=72/12=6
y=6x
48=6x
x=48/6=8
for geometry help thanks <33
Answers
Answer:
12
Step-by-step explanation:
whatis the value of y?
Answers
The top angle is 50 because 180 - 130 = 50
Since the top angle is 50, the two bottom angles have to add up to 130. Since the bottom angles are the same, you can do 130 / 2 to find the angles which equals 65.
Answer:
Finding the y value is easy if you know the slope of the line and the x coordinate. Review the equation for the slope of a line. The equation for finding the slope is: m = [y1 - y2] / [x1 - x2]. If you know x, you can solve for y to find the y value for the slope of the line.
Step-by-step explanation:
Solve for x and y.
y = 2/3x - 2
y = -x + 3
O(-3,0)
O(0,-3)
O (3,0)
O (0,3)
Answers
Answer:
(3,0)
Step-by-step explanation:
y= 2/3x - 2 ... (1)
y= -x+3 ... (2)
First, change the equations into normal equation form
(1): - 2/3x + y= - 2
(2): x+y= 3
(1)×3: - 2x+3y= - 6 ... (3)
(2)×2: 2x+2y= 6 ... (4)
(3)+(4): 5y=0
y= 0
Substitute y=0 into any equation
Let's say, equation (2)
y= -x+3
0= -x+3
-3= -x
x= 3
(x,y)= (3,0)
Write an equation for the line in slope-intercept form.
please help fast
Answers
Answer:
y =3x+4
Step-by-step explanation:
the ratio of 82 and 73
Answers
Answer: 82:73
Step-by-step explanation:
To find an equal ratio, you can either multiply or divide each term in the ratio by the same number (but not zero). For example, if we divide both terms in the ratio 3:6 by the number three, then we get the equal ratio, 1:2. Do you see that these ratios both represent the same comparison?
On,Saturday, Alexa babysat her neighbors kids for 180 minutes. Then, on Sunday she babysat her little brother for 2 hours.how many hours did she babysit on Saturday and Sunday .
Answers
Answer:
5 hours
Step-by-step explanation:
To change minutes to hours you will have to divide the total minutes by 60 (because 60 minutes is in one hour), in this situation it would look like this:
180/60 = 3
So, Alexa babysat for 3 hours on Saturday.
Now, just add the 3 hours from Saturday and 2 hours from Sunday and you get a total of 5 hours!
I hope this helps!!
- Kay :)