The circles centered at points A, C, and D have radii of length AC.
(will give Brainliest) - 90 points
Answers
Answer:
statement two is CG=AD statement 4 is ADE = CGF
Step-by-step explanation:
I got it right on khan
statement 2 is option 2, statement 4 is option 1
Cg=AD, CGF
Congruent triangles are exact same triangles, but they might be placed at different positions. The correct option is ΔADC≅ΔECD.
What are congruent triangles?Suppose it is given that two triangles ΔABC ≅ ΔDEF
Then that means ΔABC and ΔDEF are congruent. Congruent triangles are exact same triangles, but they might be placed at different positions.
The order in which the congruency is written matters.
For ΔABC ≅ ΔDEF, we have all of their corresponding elements like angle and sides congruent.
Thus, we get:
[tex]\rm m\angle A = m\angle D \: or \: \: \angle A \cong \angle D \angle B = \angle E\\\\\rm m\angle B = m\angle E \: or \: \: \angle B \cong \angle E \\\\\rm m\angle C = m\angle F \: or \: \: \angle C \cong \angle F \\\\\rm |AB| = |DE| \: \: or \: \: AB \cong DE\\\\\rm |AC| = |DF| \: \: or \: \: AC \cong DF\\\\\rm |BC| = |EF| \: \: or \: \: BC \cong EF[/tex]
(|AB| denotes the length of line segment AB, and so on for others).
For the given proof, the third blank space can be filled with ΔADC≅ΔECD. This is because the two triangles have the same sides as shown below,
AD ≅ ED
AC ≅ EC
CD ≅ DC (Given)
Hence, the correct option is ΔADC≅ΔECD.
Learn more about congruent triangles here:
https://brainly.com/question/16921692
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Related Questions
A cuboid has 4 rectangular faces and 2 square faces. Each rectangular face measures 8 cm by 6 cm. Find the two possible values for the surface area of the cuboid.
pls give me answer with steps
Answers
Answer:
320 cm² or 264 cm²
Step-by-step explanation:
first, the rectangular face area is 4 faces at 8 x 6 = 192 cm²
the 2 square faces will be either 8 x 8 or 6 x 6.
If 8 x 8, then the SA will be 192 + (2 x 8 x 8 ) = 320 cm²
If 6 x 6, then the SA will be 192 + (2 x 6 x 6 ) = 264 cm²
Does anyone know what 9x*3x/4 is?
Answers
Answer and Step-by-step explanation:
We are given the expression [tex]\frac{9x * 3x}{4}[/tex].
First, we need to multiply 9x by 3x. This results us with [tex]27x^2[/tex].
[tex]\frac{27x^2}{4}[/tex] -- This is the final expression simplified. There isn't anything else we can do this expression, as it is not factorable and can't be simplified any further.
#teamtrees #PAW (Plant And Water)
Is the relationship linear, exponential, or neither?
Answers
The given line passes through the points (0, ) and (2, 3). On a coordinate plane, a line goes through (0, negative 3) and (2, 3). A point is at (negative 1, negative 1). What is the equation, in point-slope form, of the line that is parallel to the given line and passes through the point (-1,-1)?
Answers
Answer:
1st answer i think
Step-by-step explanation:
Which graph best represents the change in population of the two cities? Tell me which ones cuz I can’t label it!
Answers
Answer:
Which graph best represents the change in population of the two cities?
Year Townville Village City
1960 37,500 17,500
1970 42,500 25,000
1980 35,000 20,000
1990 30,000 30,000
2000 15,000 32,500
Step-by-step explanation:
A. is right
How far from the base of a house should you place an 18 foot ladder if it is to reach a window that is 15 feet high?
Answers
Answer:
The correct answer is 9 feet.
Step-by-step explanation:
Find the value of x.
Answers
Answer:
x = 19 cm
Step-by-step explanation:
3+3+2+5+6 = 19
what is the slope of the line that passes through points (-4,9) and (6,12)
Answers
Answer:3/10 or 0.3
Step-by-step explanation:
y2-y1/
x2-x1
12-9/6--4
3/10
or 0.3
slope=3/10 or 0.3
How many solutions does this system have?
y=3/4x-5
-3x+4y=-20
O one
O two
an infinite number
O no solution
Answers
Answer:
Infinite number
Step-by-step explanation:
The points plotted below are on the graph of a polynomial. How many roots
of the polynomial lie between x = -4 and x = 3?
URGENT
Answers
Given:
The graph of a polynomial.
To find:
The number of roots of the polynomial lie between x = -4 and x = 3.
Solution:
From the given graph it is clear that the graph is a downward U-shaped curve. It means the given graph represents a quadratic polynomial.
The graph of the polynomial is below the x-axis immediate before x=-2 and above the x-axis immediate after x=-2. It means the graph intersect the x-axis at x=-2.
The graph of the polynomial is above the x-axis immediate before x=2 and below the x-axis immediate after x=2. It means the graph intersect the x-axis at x=2.
Since the graph of the polynomial divides the x-axis two times between x = -4 and x = 3, therefore the two roots of the polynomial lie between x = -4 and x = 3.
Jenny used plastic cone shaped cups to serve punch. The cups were 6 inches in diameter and inches tall. What was the volume of each cup?
Answers
Answer:
47.14 in³
Step-by-step explanation:
Here is the complete question
Jenny used plastic cone shaped cups to serve punch. The cups were 6 inches in diameter and 5 inches tall. What was the volume of each cup?
Volume of a cone = [tex]\frac{1}{3}[/tex]πr²h
π = 22/7
Radius = diameter / 2 = 6 /2 = 3 inches
(1/3) x (3^2) x (22/7) x 5 = 47.14 in³
A recipe calls for 2 cups of milk for 8 pancakes. To use this recipe to make 16 pancakes, how many cups of mik are needed?
Answers
Answer:
4 CUPS OF MILK
Step-by-step explanation:
2 cups of milk=8 PANCAKES
2 X
8 16
16X2=32
32/8= 4
what is the mean,median,mode ,and range of 24,12,10,15,10,22,12
Answers
Answer:
24, 12, 10, 15, 10, 22, 12
mean: 7
median: 12
mode: 12
Range: 14
Step-by-step explanation:
Answer: Mean=15, Median=12, Mode=10 and 12, Range=14
Step-by-step explanation:
Data:
Numbers: 10, 10, 12, 12, 15, 22, 24
Mean: x, Median: x, Mode: x, Range: x
Step One, Find the Mean by adding all of the numbers and dividing them by the number of numbers
10+10+12+12+15+22+24=105/7=15
Mean=15
Reason: By adding all of the numbers together and dividing them by the number of numbers, you can find the mean because that is the method on finding the mean.
Step Two, Find the Median(middle) by finding the number in the middle
10, 10, 12, 12, 15, 22, 24
Median=12
Reason: Since the median is the number in the middle, 12 would be the median since it is the number in the middle of the array of numbers.
Step Three, Find the mode by finding the number that show up the most
10, 10, 12, 12, 15, 22, 24
Mode=10 and 12
Reason: Since mode is finding the number that shows up the most, 10 and 12 would be the answer for that reason and that they show up the same number of times in the array of numbers.
Step Four, Find the range by subtracting the biggest number by the smallest
24-10=14
Reason: Since to find the range you have to subtract the biggest number(24) by the smallest(10) the answer has to be 14 because that us the answer to 24-10.
I hope this helps!
78-[5+3 of (25-20)]
can you please help me solve this?
Answers
Answer:
38
Step-by-step explanation:
➜78-[5+3×(25-20)]
➜78-[8(5)]
➜78-40
➜38
Reuben made $247 for 13 ours of work.
At the same rate, how many hours would he have to work to make $171 ?
pls help!!!
Answers
Answer:
9 hours
Step-by-step explanation:
We can use a ratio to solve
247 dollars 171 dollars
---------------- = -------------
13 hours x hours
Using cross products
247* x = 13*171
247x =2223
Divide each side by 247
247x/247 =2223/247
x=9
Please help me with this
Answers
Answer:
Below, and I hope that this helps you.
Step-by-step explanation:
So you see that it says Find the probability that the sum on the two dice is 4 given that the sum is even. So that means that it would be 2 dices that have rolled a 4 and the equation would be 2×4= 8, So that means that you want to write the answer which is 8 in a fraction, and 8 in a fraction is 8/1
5. Twenty volunteers with high cholesterol were selected for a trial to determine
whether a new diet reduces cholesterol. The volunteers were given a low-carb,
low-calorie diet. After 8 weeks of the diet, the average cholesterol of the
volunteers dropped a significant amount. This study is an example of
(A) A controlled experiment.
(B) An uncontrolled experiment.
(C) A double blind experiment.
Ablocked design experiment.
Answers
Answer:
(B) An uncontrolled experiment.
Step-by-step explanation:
In the case of an uncontrolled experiment here all participants are provided the similar treatment and there should be no comparison oppose to any group i.e. controlled
Since in the given situation, there are similar diets are provided to 20 volunteers and it can be that the cholesterol level is decreased after particular time period,
Hence, it is an uncontrolled experiment.
Thus, option B is correct.
the mean of "n" numbers is "x" . if one more is added the mean is "y" . write an algebraic expression for the value of the number added?
Answers
Answer:
yn +y -xn
Step-by-step explanation:
Mean= sum of numbers ÷number of numbers
x= sum of n numbers ÷n
Multiply both sides by n:
xn= sum of n numbers
sum of n numbers= xn -----(1)
Let the number added be a.
After a has been added,
y= (sum of n numbers +a) ÷(n+1)
Multiply both sides by (n +1):
y(n +1)= sum of n numbers +a
sum of n numbers= y(n +1) -a -----(2)
Substitute (1) into (2):
xn= y(n +1) -a
Expand:
xn= yn +y -a
a= yn +y -xn
Let's check!
Let the numbers be 1, 2, 3 and 4.
mean, x= 10 ÷4= 2.5
n= 4
Let the new number added, a, be 7.
a= 7
mean, y= 17 ÷5= 3.4
a= yn +y -xn
a= 3.4(4) +3.4 -2.5(4)
a= 7
Thus, the expression is true.
answer please thanks
Answers
Answer:
-37/6
Step-by-step explanation:
Mr. Miller is putting a border around the edges of a rectangular ceiling. The perimiter of the ceiling is 18 meters. What are the two dimensions?
Answers
Answer:
Length & Breadth could be : 4 meters , 5 meters
Step-by-step explanation:
Border, ie perimeter measurement of Rectangle = 2 ( Length + Breadth )
So, 2 (Length + Breadth) = 18
Length + Breadth = 18 / 2
Length + Breadth = 9
So, sum of length & breadth must be = 9.
(L, B) = (2,5) ; (2,8) ; (2,9) and (3,5) ; (3,8) ; (3,9) don't satisfy this condition. (4,5) ; (4,8) also don't.
(L, B) = (4,5) satisfy it. As sum 4 + 5 = 9.
Find the height of an isosceles triangle with two congruent sides of length
37cm and the base of length 24cm.
Answers
Answer:
119cm
Step-by-step explanation:
add 37 and 24 you get 61 and the size of a triangle no matter what is going to be 180 so then subtract 180 from 61 and get 119.
If mL DOC = 44º and mL COB = 80°,
find the measure of the indicated arc
in circle o.
D
с
O
E
B
mDB = [?]°
Answers
Answer:
124°
Step-by-step explanation:
measure of arc DC = 44 because the measure of central angle equals the measure of its arc.
measure of arc CB = 80 because the measure of central angle equals the measure of its arc.
measure of arc DC = measure of arc DC + measure of arc CB
= 44 + 80 = 124°
What is the x-coordinate of the point that divides the directed line segment from J to K into a ratio of 2:5? 3 2- 1- X = { m m + n ] (x2 – xa) + x3 3 6 7 8 9 10 11 x -9-8-7-6-5-4-3-2-11- -2 J (6-2) -4 -2 2 -6 -7 -8 K(8-9) 29 -10 -11 -12 -13
Answers
Answer:
Step-by-step explanation:
The x-coordinate of the point that divides the line segment will be -2. Then the correct option is B.
What is the section of the line?Let A (x₁, y₁) and B (x₂, y₂) be a line segment. Then the point P (x, y) divides the line segment in the ratio of m:n. Then we have
x = (mx₂ + nx₁) / (m + n)
y = (my₂ + ny₁) / (m + n)
The two endpoints are (-6, -2) and (8, -9). And m: n = 2: 5. Then the value of the x-coordinate is calculated as,
x = (2 · 8 + 5 · -6) / (2 + 5)
x = (16 - 30) / (7)
x = - 14 / 7
x = - 2
The x-coordinate of the point that divides the line segment will be -2. Then the correct option is B.
More about the section of the line link is given below.
https://brainly.com/question/6582647
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Helpp!!
Instead of dividing $15.00 by 2 1/2, double both numbers and then find the quotient.
Answers
Answer:
6
Step-by-step explanation:
determine the constant in each algebraic expression
Answers
Check all of the functions that are odd.
f(x)=x3-x2
f(x)=x5-3x3+2x
f(x) = 4x + 9
f (x) = StartFraction 1 Over x EndFraction
Answers
Answer:
second and fourth
Step-by-step explanation:
answered the question
Use the function below to find F(2)
F(x)=1/3•4^x
Answers
Answer
The answer is 16/3
Step-by-step-explain
F(x) = ⅓ • 4ˣ, F(2)
F(2) = ⅓ • 4²
F(2) = ⅓ • 16
F(2) = 16/3
Thus, The answer is 16/3
-TheUnknownScientist
Answer:
Step-by-step explanation:
16/3
I hope it's helpful
perpendicular sides mean plz
Answers
Answer:
lines that will never touch
Step-by-step explanation:
these are lines that you could keep drawing and they will never cross or touch
Simplify the expression below. (2y+1)^2-4y^2+2
A. 4y+3
B. 2y+3
D. -1
Answers
Answer:
4 y + 3
Step-by-step explanation:
y = -3/4
d/dy((2 y + 1)^2 - 4 y^2 + 2) = 4
Indefinite integral:
integral(2 - 4 y^2 + (1 + 2 y)^2) dy = 2 y^2 + 3 y + constant
Which expression is equivalent to the expression for the perimeter of the larger garden. Select all the apply.
Answers
Answer:
Option A, 4X + 40 expression is equivalent to the expression for the perimeter of the larger garden
Step-by-step explanation:
The complete question is
A garden is 15 feet long by 5 feet wide. The length and width of the garden will each be increased by the same number of feet. This expression represents the perimeter of the larger garden: (x+15)+(x+5)+(x+15)+(x+5). Which expression is equivalent to the expression for the perimeter of the larger garden? Select all that apply.
4x+40 2(2x+20) 2(x+15)(x+5) 4(x+15)(x+5) 2(x+15)+2(x+5)Solution
The expression for the perimeter of the larger garden: [tex](x+15)+(x+5)+(x+15)+(x+5)[/tex]
If the given expression is expanded and solved, we get the following
[tex](x+15)+(x+5)+(x+15)+(x+5)\\X+X+X+X + 15+15+5+5\\2X+2X+30+10\\4X +40[/tex]
Hence, option A is correct