![Triangle ABC = Triangle ADF, AD = 18, BC = 17, DF= [?]](https://brainimage.s3.us-east-005.backblazeb2.com/contents/attachments/5vv3ZE9SDhOBDlaQtAto8j3QTu9kKrP0.png)
Answers
The value of the length DF is 17
How to determine the length DF?The statement Triangle ABC = Triangle ADF means that the triangles ABC and ADF are congruent triangles.
So, we have:
AB = AD
AC = A F
BC = DF
Given that BC = 17;
The equation BC = DF becomes
17 = DF
Rewrite as:
DF = 17
Hence, the value of the length DF is 17
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Related Questions
What is the volume of the solid
Answers
Answer:
A.264
Step-by-step explanation:
((Area Of triangle*height)=Volume
Area of triangle is the base of the triangle multiplied by height of triangle divided by 2
((8*6)/2)*11=264
answer this, will give brainlist
Answers
Answer:
(-3, -10)
Step-by-step explanation:
We are asked to solve the system of equations simultaneously.
We need to equate the equations.
=============================================================
Solving :
⇒ -4 + 2x = 4x + 2
⇒ 4x - 2x = -4 - 2
⇒ 2x = -6
⇒ x = -3
============================================================
Finding y :
⇒ y = 4(-3) + 2
⇒ y = -12 + 2
⇒ y = -10
============================================================
Hence, the solution :
(-3, -10)
We have to solve them graphically as per question
y=-4+2xSome points has already been found
y=4x+2Graph attached
Solution is
(-3,-10)k dived by 11 is 7
solve for k
Answers
Answer:
k = 77
Step-by-step explanation:
[tex]\frac{k}{11} =7\\\\\rightarrow 11 * 7 = 77\\\rightarrow 77 \div 11 = 7[/tex]
Answer:
k = 77
Step-by-step explanation:
The question in equation form is :
[tex]\frac{k}{11} =7[/tex]
Now we multiply both sides by 11 to solve for k :
k = 7×11
k = 77
Hope this helped and brainliest please
MEAN, MEDIAN AND MODE OF GROUPED DATA
Answers
See the attached files!!!!
8 is added to the quotient of 36 divided by 4
Answers
Answer: (36/4)+8
Step-by-step explanation: brainliest?
Answer:
36/4 +8 = 17
Step-by-step explanation:
thanks and brainliest
2x-3y=7
-3x +7y = - 8
4x-3y = 9
2x + 3y = 9
SOLVE BOTH EQUATIONS??
Answers
Answer:
(5, 1 ) and (3, 1 )
Step-by-step explanation:
2x - 3y = 7 → (1)
- 3x + 7y = - 8 → (2)
multiplying (1) by 3 and (2) by 2 and adding will eliminate x
6x - 9y = 21 → (3)
- 6x + 14y = - 16 → (4)
add (3) and (4) term by term to eliminate x
0 + 5y = 5
5y = 5 ( divide both sides by 5 )
y = 1
substitute y = 1 into either of the 2 equations and solve for x
substituting into (1)
2x - 3(1) = 7
2x - 3 = 7 ( add 3 to both sides )
2x = 10 ( divide both sides by 2 )
x = 5
solution is (5, 1 )
------------------------------------------------------------
4x - 3y = 9 → (1)
2x + 3y = 9 → (2)
adding the 2 equations term by term will eliminate y
6x + 0 = 18
6x = 18 ( divide both sides by 6 )
x = 3
substitute x = 3 into either of the 2 equations and solve for y
substituting into (2)
2(3) + 3y = 9
6 + 3y = 9 ( subtract 6 from both sides )
3y = 3 ( divide both sides by 3 )
y = 1
solution is (3, 1 )
This year a small business has a total revenue of $21,700. If this is 38% less of their total revenue the previous year what was their total revenue the previous year?
Answers
Answer:
29946
Step-by-step explanation
Multiply the value by 1.38.
Are 100 10 and 5 1 equivalent rates ? Pls answer quick
Answers
Answer:
No
Step-by-step explanation:
I don't think so
Luke was asked to find the median of the following numbers:
16, 24, 12, 7, 30, 11, 22
The work below shows the steps he used.
The numbers 7, 11, 24, and 30 are crossed out. StartFraction 16 + 22 Over 2 EndFraction = StartFraction 38 Over 2 EndFraction = 19.
What error did Luke make?
He forgot to put the numbers in order first.
He crossed off the low and high pairs incorrectly.
He left out a number when putting the numbers in order.
He did not make an error.
Answers
The mistake made by Luke is that he forgot to arrange the numbers in order first before finding the median.
How to find the median of a data?The median is the middle number of a distribution when arrange in ascending or descending order.
7, 11, 12,16, 22, 24, 30
The number has been arrange from the smallest to the largest.
Therefore, the median can be calculated as follows:
median = 16
Therefore, Luke forgot to put the numbers in order first.
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Answer: (C)
100% Correct Answer! Pls, give me brainliest. Thank You!
Amanda's math certificate is 7 inches tall and
11 inches wide. Amanda wants to put the
certificate in a fancy frame that costs $3.00
per inch. How much will it cost to frame
Amanda's math certificate?
Answers
Answer:
ten inches
Step-by-step explanation:
because the frame will focus on it wider the tall will not fall in so you will divide the wide inches and you will mutiple it by the tall inches
PLEASE HELLPPPP Ms. Rudolph randomly selects one student from a group of students.
are wearing a black shirt, 6 students are wearing a red shirt, and 9 students are
wearing a blue shirt.
Show your work to determine the PROBABILITY that the selected student is
wearing a BLACK shirt?
You may write your answer as a FRACTION or DECIMAL.
Answers
Using it's concept, it is found that the probability that the selected student is wearing a black shirt is given by:
[tex]p = \frac{n}{n + 15}[/tex]
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem, we have that out of n + 6 + 9 = n + 15 students, n are wearing black shirts, hence the probability is given by:
[tex]p = \frac{n}{n + 15}[/tex]
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15 (y - 4 ) - 2 ( 9y - 11 ) = 4 (8z - 13)
Answers
Answer to the given equation is 32z + 3y = 14.
Step 1: Given data: The given equation is 15 (y - 4) - 2 (9y - 11 ) = 4 (8z - 13)Step 2: Solving the above equation,15y - 60 - 18y + 22 = 32z - 52
- 3y - 38 = 32z - 52
- 3y + 52 - 38 = 32z
- 3y + 14 = 32z
32z + 3y = 14
Hence, we get 32z + 3y = 14
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Reliable food sources and the ability to settle in one place contributed to what?
A. The Architectural Revolution.
B. Equal distribution of resources to all.
C. The beginning of hunter-gatherer societies.
D. Growth of the world's population.
Answers
Answer: A: sorry if I'm wrong but that's what I was told
Step-by-step explanation:
Enter a positive value for d that makes this statement true: 18 *d less than 18 but greater than 0
Answers
Answer:
d=0.5
Step-by-step explanation:
18 x 0.5=9
9 is less than 18 and greater than 0
Answer:
9
Step-by-step explanation:
Please help I will mark Brainly
Answers
WHAT ARE THE ANSWERS TO 1,2,3,4 SOMEONE PLEASE HELP ME!!!!
Answers
An expression is defined as a set of numbers, variables, and mathematical operations. The correct option for 1,2,3, and 4 are C,B,A, and C, respectively.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
A.) The Set which represents the integers is in the third option.
{.....,-3,-2,-1,0,1,2,3......}
B.) The property that is shown is option B, the cumulative property of multiplication.
C. The expression can be rewritten as,
4(x+5)-3(x+2) = 14
4x + 20 - 3x - 6 = 14
Thus, the correct option is the first option.
D.) The simplification of the expression (x⁵y²z)/(x³y⁶) can be done as,
(x⁵y²z)/(x³y⁶) = (x²z)/(y⁴)
Thus, the correct option is C.
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Translate (10,8) down 5
Answers
Answer:
A (10,3)
Step-by-step explanation:
SOMEONE PLEASE HELP IVE BEEN WAITING FOREVER
Answers
Answer:
Only option A. cannot be simplified; is in its simplest form.
Step-by-step explanation:
In order for A. to have a simplified form, it must have a specified degree or leading term, which it does not have, making it impossible to simplify.
Translate the given phrase into an algebraic expression and simplify if possible: the quotient of 12 and the product of 3 and 4.
Note: Enter only the simplified result.
Answers
Answer: 1
Step-by-step explanation:
First, we will translate this into an algebraic expression.
-> Quotient means we will be using divison
-> Product means we will be using multiplciation
the quotient of 12 and the product of 3 and 4
[tex]\displaystyle \frac{12}{\text{the product of 3 and 4}}[/tex]
[tex]\displaystyle \frac{12}{3*4}[/tex]
Now, I will simplify.
Given:
[tex]\displaystyle \frac{12}{3*4}[/tex]
Multiply:
[tex]\displaystyle \frac{12}{12}[/tex]
Divide:
1
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A group of 5 friends each have x action figures in their collections. Each friend buys 6 more action figures. Now the 5 friends have a total of 150 action figures. How many action figures did each friend start with?
Answers
Answer:
29
Step-by-step explanation:
The problem is 5x + 6 = 150
I subtract 6 from each sides except the one with the variable.
6 - 6 = 0 and 150 - 6 = 144.
Then I bring 5x down.
Then I divided 5x with 5 and 144 with 5.
I got 28.8 for x, which means the friends had 28.8 action figures each.
And I don't think it would be possible for them to have 28.8 action figures, so you round to a whole number which would give you the answer 29.
I think I that makes sense.
I can’t figure this out…going on 4 hours now
Answers
Answer:2: 95/215, 3: 95/580, 4: 210/330 5: 365/580
Step-by-step explanation:probability=outcome in question/the total number in the given category
A graph titled Calories in Strawberries. The x-axis shows the number of strawberries, numbered 1 to 9, and the y-axis shows the number of calories, numbered 3 to 27. A straight line with a positive slope begins at point (0, 0) and ends at point (6.8, 27).
The graph shows the relationship between the number of strawberries eaten and the approximate number of calories consumed. Which statement is true?
Each strawberry contains 4 calories.
Each strawberry contains 3 calories.
Twenty-four strawberries contain 6 calories.
Four strawberries contain 15 calories.
Answers
From the equation y = 4x, each strawberry contains 4 calories.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Let y represent the number of calories in x strawberries. Hence:
y - 0 = [(27 - 0)/(6.8 - 0)](x - 0)
y = 4x
From the equation y = 4x, each strawberry contains 4 calories.
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Answer:
a
Step-by-step explanation:
Leslie set up a fruit stand to sell some of her crop of oranges. The first person who came by bought 1/3 of her oranges. The second person bought 4 oranges. The thrid person bought 1/4 of the REMAINING oranges. Leslie took the last 15 oranges home to make orange juice. How many oranges did Leslie have at the beginning?
Answers
Answer:
36
Step-by-step explanation:
Let's say Leslie starts with x oranges.
The first person buys 1/3 of the oranges, leaving behind 2/3 x.
The second person buys 4 oranges, leaving behind 2/3 x − 4.
The third person buys 1/4 of the remaining oranges, leaving behind:
3/4 (2/3 x − 4)
This amount equals 15. Solving for x:
15 = 3/4 (2/3 x − 4)
20 = 2/3 x − 4
24 = 2/3 x
36 = x
Please help I am so confused
Evaluate -6b+8t where b=-9 and t=-9
Answers
Answer:
-18
Step-by-step explanation:
If you plug the number values into the equation, it would be -6(-9)+8(-9) when then turns out to be 54+(-72) which is -18
Which statements can be used to accurately compare the functions? Select two options. [ g(x) has the lowest minimum. f(x) has the greatest maximum. All three functions have a y-intercept. All three functions have an x-intercept. 2 The domain of all three functions is the same.
Answers
The statement all three functions have a y-intercept and the statement f(x) has the greatest maximum can be used to accurately compare the functions.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
From the graph, we can see all the functions have y-intercept:
At x = 0
f(0) = 1
g(0) = -1/2
h(0) = -5
The f(x) has the greatest maximum, which is 10
Thus, the statement all three functions have a y-intercept and the statement f(x) has the greatest maximum can be used to accurately compare the functions.
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Four interior angles of a pentagon measure 88°, 118°, 132°, and 100°. What is the measure of the fifth interior angle?
82°
92°
102°
112°
Answers
Answer:
102 deg
Step-by-step explanation:
The sum of the interior angles of a n-gon
are equal to ( n-2)*180
for a pentagon ( 5-2)(180) = 540
88+118+132+100 + x = 540 x= 102 deg
Answer:
C. 102 is correct
Step-by-step explanation:
just took test
Consider the function represented by the table.
For which x is f(x)=–3?
–7
–4
4
5
Answers
Step-by-step explanation:
-7 because i now this by myself aND blah blah blah blah blah blah blah blah blah blah blah blah blah blah step by step nice
nice nice
Answer:
A: -7
Step-by-step explanation:
Taking the test rn and just happened to see this :)
In a study of patients arriving at a hospital emergency room, the gender of the patients is considered, together with whether the patients are younger or older than 30 years of age, and whether or not the patients are admitted to the hospital. It is found that 45% of the patients are male, 30% of the patients are younger than 30 years of age, 15% of the patients are females older than 30 years of age who are admitted to the hospital, and 21% of the patients are females younger than 30 years of age. What proportion of the patients are females older than 30 years of age who are not admitted to the hospital?
Answers
The probability of patients are females older than 30 years of age who are not admitted to the hospital is 0.19
How to calculate the probability?The probability of patients who are females and are admitted will be 0.15. The probability of those younger than 30 years will be 0.21.
The proportion of the patients are females older than 30 years of age who are not admitted to the hospital will be:
= [(1 - 0.45) - 0.21] - 0.15
= 0.19
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(07.03 MC)
What is the solution to the following equation? (1 point)
4(3x − 11) + 23 = 5x − 14
0
1
10
14
Answers
Answer:
1
Step-by-step explanation:
[tex]~~~~~~4(3x-11) +23 = 5x -14\\\\\implies 12x -44 + 23 -5x +14 = 0\\\\\implies 7x-7=0\\\\\implies 7x = 7\\\\\implies x = \dfrac 77 \\\\\implies x = 1[/tex]
Answer:x=1
Step-by-step explanation: did the test
what is the surface area of this? giving out 30 pts