Answer:
[tex]AC=DB[/tex]
(corresponding parts of congruent triangles are equal)
Step-by-step explanation:
Consider triangles ACE and BDE.
As AB and CD bisect each other at point E,
[tex]AE=BE\\CE=DE[/tex]
As AB and CD intersect each other at point E and vertically opposite angles are equal,
∠AEC = ∠BED
So,
ΔAEC ≅ ΔBED (Using SAS congruence criteria)
(According to SAS congruence criteria, if two sides and the included angle of one triangle are equal to the corresponding two sides and the included angle of another triangle then the two triangles are said to be congruent.)
Hence,
[tex]AC=DB[/tex]
(corresponding parts of congruent triangles are equal)
When segments AB and CD bisect each other at point E, the two triangles formed, [tex]\triangle AEC $ and $ \triangle BED[/tex], are congruent to each other SAS Congruence Theorem, therefore, AC = DB.
Recall:
Congruent triangles have equal sides and equal angles that corresponds to each other.Line segments AB bisecting line segment CD at point E will give us the triangles AEC and BED if we join A to C, and B to D.
Thus, the following information can be deduced from the image of both triangles shown in the attachment below:
[tex]EC \cong ED\\\\AE \cong BE[/tex] (congruent segments)
[tex]\angle AEC \cong \angle BED[/tex] (vertical angles)
From the above stated, [tex]\mathbf{\triangle AEC \cong \triangle BED}[/tex] by the SAS Congruence Theorem.
Since both triangles are congruent, all their corresponding sides would be congruent, therefore AC = DB.
In summary, when segments AB and CD bisect each other at point E, the two triangles formed, [tex]\triangle AEC $ and $ \triangle BED[/tex], are congruent to each other SAS Congruence Theorem, therefore, AC = DB.
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Avoiding vaccinations during flu season can help you cut down the risk of contracting this communicable
Answer:false
Step-by-step explanation:
Arithmetic mean between -2 and 58
Answer:
I think its true
Step-by-step explanation:
Click on the measure of angle x.
Step-by-step explanation:
not sure where the click but the angles of 52 degree angle
The measure of the angle x in the given figure is 142°.
What is an angle?When two lines meeting at a point, it will form angle.
We know that, if two lines meeting at a point and forms a straight line then the angle on the either side of the line is 180°.
Here, in the given figure: (x + 38°) = 180°
Therefore the measure of the angle x = (180° - 38°) = 142°.
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In a rectangle, the length is 7 m less than three times the width and the area is 111 m. Approximate the dimensions to the nearest tenth of a meter.
Answer:
The dimensions are 7.4m by 15.1 m (to the nearest tenth).
Step-by-step explanation:
Area = length * width
If the width = x then the length = 3x - 7 so
Area x(3x - 7) = 111
3x^2 - 7x - 111 = 0
Using the quadratic formula:
x = [ -(-7) +/- √((-7)^2 - 4*3*-111)] / (2*3)
x = 7.36, -5.03.
The width must be positive s it is 7.36 m.
The length = 3(7.36) - 7
= 15.08 m.
Help please thanks!
Answer: C
Step-by-step explanation: it seems like the best answer and makes the most sense! please let me know if i am correct! have a wonderful day!
Please answer the question
Answer:
J
Step-by-step explanation:
If you were to plug in your variables, you would see that -6, and -7 is over 25 and the rest of your variables aren't. So, therefore your answer is J.
A company logo has 4 concentric circles. Suppose you graph the points (diameter, circumference) and connect them with a line. In terms of pi, what is the slope of the resulting line?
Answer:
Step-by-step explanation: they will form a straight line, passing through the origin.
let the radius of the first one be r
then the first point is (2r, 2πr)
slope of line passing through (0,0) and (2r, 2πr)
= (2πr)/(2r)
= π
The slope of the resulting line is π.
What is a slope?The slope of a line is a number that describes both the direction and the steepness of the line.
Given that, A company logo has 4 concentric circles. you graph the points (diameter, circumference) and connect them with a line.
They will form a straight line, passing through the origin.
Let the radius of the first one be r
Then the first point is (2r, 2πr)
Slope of line passing through (0,0) and (2r, 2πr)
= (2πr)/(2r)
= π
Hence, The slope of the resulting line is π.
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Please help I’m stuck on this question
uhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh
How do you Solve 2v−6v+7v=15.
Which expression is equivalent to −76x+92?
Answer:
4(−19x+23) is equivalent to the expression
Step-by-step explanation:
A mathematics student goes out for ice cream to celebrate an A on her midterm. She decides on an ice creams sundae. The available flavors are Chocolate, Strawberry and Vanilla. The available toppings are Hot fudge, Caramel, Nuts, Sprinkles and Strawberries. (a) How many sundaes are possible if one flavor is selected and three different toppings are selected? (b) How many sundaes are possible if there are three scoops of ice cream each which may be of any flavor and two distinct toppings are selected?
Answer:
(a) 30
(b) 10
Step-by-step explanation:
There 3 different flavors of ice-cream available and 5 different toppings are available.
In mathematics, the procedure to select k items from n distinct items, without replacement, is known as combinations.
The formula to compute the combinations of k items from n is given by the formula:
[tex]{n\choose k}=\frac{n!}{k!\cdot (n-k)!}[/tex]
(a)
Compute the number of possible sundaes that can be made with one flavor and three different toppings as follows:
[tex]\#\text{Sundaes}=\#\text{Ways to select 1 flavor}\times \#\text{Ways to select 3 toppings}[/tex]
[tex]={3\choose 1}\times {5\choose 3}\\\\=3\times 10\\\\=30[/tex]
(b)
Compute the number of possible sundaes that can be made if there are three scoops of each ice cream and two different toppings as follows:
[tex]\#\text{Sundaes}=\#\text{Ways to select 1 flavor}\times \#\text{Ways to select 3 toppings}[/tex]
[tex]=1\times {5\choose 2}\\\\=1\times 10\\\\=10[/tex]
given a, b, and c, classify it.
Answer:
b
Step-by-step explanation:
Find the total surface area of this triangular prism.
10cm
6 cm
4cm
8 cm
Total surface area of the given triangular prism is 144 centimeter square
What is surface area?The surface area of a solid object is a measure of the total area that the surface of the object occupies
What is Triangular prism?A triangular prism is a three-sided prism; it is a polyhedron made of a triangular base, a translated copy, and 3 faces joining corresponding sides
Given figure is a right angled triangular prism
Total surface area of the right angle triangular prism = (x + y + h )L + b × h
Here,
x= 8 cm
y= 10 cm
h= 6 cm
L= 4 cm
b= 8 cm
Substitute the values in the equation
Total surface area = (8 + 10 +6)4 + 8×6= 144 centimeter square
Hence, the total surface area of the triangular prism is 144 centimeter square
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Michael is putting information on a rectangular display board. The area of the display
1
board is 8 feet squared. The length of the display board is 2 feet. What i the width
ż
2
of the display board?
Answer:
4 feet
Step-by-step explanation:
8 /2 = 4
7. Which graph represents a proportional
relationship
PLEASE HELP ME
Answer:
B
Step-by-step explanation:
It's a relationship
Franklin saved money to buy art supplies.
He used 15 of his savings to buy brushes. He used 12 of his savings to buy paint.
What fraction of his savings does he have remaining?
Answer:
Franklin has 73 percent of his savings left.
Answer:
If you need a Fraction the fraction answer is 3/10 :)
Choose an acre of land in Canada at random. The probability is 0.45 that it is forest and is 0.03 that it is pasture. What is the probability that the chosen acre is not forested?
a. 0.03
b. 0.45
c. 0.55
Answer:
c. 0.55
Step-by-step explanation:
A chosen acre of land is forested and not forested are complimentary event , so let :
F = Chosen land is forested
F = Chosen land is not forested
....and we know F+F = S
where S is sample space and we know probability ocer whole sample space is 1 , that is P(S)=1 , and we know F and F are independent so
P(F+F) = P(S)
P(F) + P(F)=1
We have given that probability of forest land in randomly chosen an acre land in Canada have probability 0.45 so P(F)=0.45 so ,
0.45 + P(F) = 1
P(F) = 1 - 0.45
P(F) = 0.55
Hence, the probability that the chosen acre is not forested is 0.55
How much would the tip be if you left 18% on a $75.45 steak dinner
Answer:
13.58 is the 18 percent tip
In a class of students, the following data table summarizes the gender of the students and whether they have an A in the class. What is the probability that a student who has an A is a female?
Female Male
Has an A 2 6
Does not have an A 11 5
Answer:
sd
Step-by-step explanation:
You have $10 in your bank account. It doubles every month. How much money will you have after 5 months
Answer:
$50.
Step-by-step explanation:
10 x 5 = 50.
Answer:
You will have a total of $320
Step-by-step explanation:
10 x 2 x 2 x 2 x 2 x 2 = $320
I need help with this one
Answer:
top left:
(-8,10)
bottom right:
(10,-8)
down middle left:
(1,-10)
down middle right:
(7,-10)
Step-by-step explanation:
URGENT!!!! PLS HELP MEEE DUE IN 5 MINUTEESS!!
1) The table represents some points on the graph of a linear function. Which function represents the same relationship?
A) g(x) = 2x
B) g (x) = x - 3
C) g(x) = x - 8
D) g(x) = 2x - 8
X | 5 | 7| 9| 10|
Y | 2 | 6| 10| 12|
2) what appears to be the range of the part of the function shown on the grid?
A) y > 0
B) y > 2
C) y < 2
D) y > -5
Look at the image for question 2!
Please don’t answer just for points! If u get it correct I will name u bainliist
Answer:
the answer is c
Step-by-step explanation:
I saw it said it was due in 5 min so i ryed to solve fastt
Hope this helps!
Answer:
D and C
Step-by-step explanation:
1) The answer is D
g(x) = 2x-8 if we put the corresponding values of x in the table we get the exact same values of y example
[tex]g(x)=2x-8\\g(5)=2(5)-8\\g(5)=2\\g(7)=2(7)=8\\g(7)=6[/tex]
so we can see that our values match with the table's values for part D)
2)The answer is C
Range corresponds to the values of y and here the function in the image shows the maximum value of y is 2 and then it decreases to 1 , 0 , -1 and so on so option C is correct y<2
What is the answer.
A. The elevation of sea level is 0 km and the elevation of the summit is 5 km.
B. The elevation of sea level is 5 km and the elevation of the summit is 5 km.
C. The elevation of sea level is 0 km and the elevation of the summit is 10 km.
D. The elevation of sea level is 5 km and the elevation of the summit is 10 km.
Answer:
D. The elevation of sea level is 5 km and the elevation of the summit is 10 km.
Step-by-step explanation:
Please give me brainliest'
Which of the following steps are applied to ABCD to obtain A'B'C'D
Answer:
A
Step-by-step explanation:
take the black triangle's point A, move that towards the red triangle's point A'. It's 4 units left, 3 up
yw~
When Jack got out of school at 3:00 pm the temperature was -2 F. By 8:00 pm the temperature was -12 F. A radio announcer reported that it was getting warmer. Is the announcer correct?
Answer:
C. No -12 is to the left of -2 on the number line
Which expression is equivalent to 38÷34?
One cold night the temperature was 0 degrees at 8 p.m. The temperature dropped at a constant rate from 8 p.m. to midnight. At midnight the temperature was −16.8 degrees.
What was the temperature at 9 p.m.?
Enter your answer in the box. plz help
Answer:
Step-by-step explanation:
the rate is -4.2, so after an hour the temperature would be -4.2 degrees
Answer:
-4.2
Step-by-step explanation:
I took the test on K12 and got 100
Please give me the correct answer.
Step-by-step explanation:
4n = - 6
n = - 6/4
n = - 3/2
And that it
Answer:
n = 1.5
Step-by-step explanation:
So, you left off on where we subtracted 40 from both sides.
34 - 40 = -6
4n = -6
Now, divide both sides by 4 to ultimately isolate the variable:
4n/4 = -6/4
Therefore your answer is -1.5
Beekeepers sometimes supplement the diet of honey bees with sugar water to help promote colony growth in the spring and help the bees survive through fall and winter months. The tables below show the amount of water and the amount of sugar used in the Spring and in the Fall.
Answer:
wheres the tabel ?
Step-by-step explanation:
Wai keong's monthly salary is twice the amount he save in April he save $3500 in April. In may, he saved $4200 less than the amount he spent. How much is his monthly salary? How much did he save in may?
Answer:
Salary is 7000
He saved 2800 in may
The monthly salary of the Wai keong will be $7,000 and the amount of his savings will be $2,800.
What is the linear system?A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
Wai keong's monthly salary is twice the amount he save in April he save $3500 in April.
Let x be the monthly salary of the Wai keong.
Then the equation will be
x = 2 × $3500
x = $7,000
The monthly salary is $7,000.
In may, he saved $4200 less than the amount he spent.
Then the amount of money that he can save will be
⇒ $7,000 - $4,200
⇒ $2,800
The monthly salary of the Wai keong will be $7,000 and the amount of his savings will be $2,800.
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