Answer:
18
Step-by-step explanation:
Triangles FEG and DEG are congruent by SAS, so DG = FG.
a+6 = 3a
6 = 2a
3 = a
3a = 3·3 = 9 = FG = DG
DF = 9+9 = 18
Learning Task 3: Solve the following problems. Write your SOLUTION and
your answers in you notebook.
1. What is the quotient if 24 is divided by 48?
2. Jean has 35 m of wire for hanging pictures. She wants to divide it into
50 pieces for her frames. How long will she use for each frame?
3. Father left Php5.00 for his 7 children. How much did each child
receive?
4. Mang Ricky is a hardworking man who owns 6 hectares of land. In his
will, he divided his lot equally among his 7 sons. How much land will
each of his son receive?
5. Troy and Raffy went to the market to buy 15 kilos of meat. When they
came home, they divided the meat into 16 parts and put each part in
separate plastic bags for future use. How many kilos of pork does each
bag contain?
1. The quotient is 0.5.
2. She will use 0.7m long for each frame.
3. Each child received 0.71 Php.
4. Each son will receive 0.85 hectares.
5. Each bag contains 0,93 kilos.
1. What is the quotient if 24 is divided by 48?24 / 48 = X0.5 = X2. Jean has 35 m of wire for hanging pictures. She wants to divide it into 50 pieces for her frames. How long will she use for each frame?35 / 50 = X0.7 = X
3. Father left Php5.00 for his 7 children. How much did each child receive?5/7 = X0.71 = X
4. Mang Ricky is a hardworking man who owns 6 hectares of land. In his will, he divided his lot equally among his 7 sons. How much land will each of his son receive?6/7 = X0.85 = X
5. Troy and Raffy went to the market to buy 15 kilos of meat. When they came home, they divided the meat into 16 parts and put each part in separate plastic bags for future use. How many kilos of pork does each bag contain?15/16 = X0,93 = X
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Evalute the expression X=6 y=-4 -3y+x
Answer:
y= 1/2
Step-by-step explanation:
y=-4 -3y+x
<=> y + 3y = -4 + x
<=> 4y = -4 + 6
<=> 4y = 2
<=> y = 1/2
PLS HELPPPPPPPPPPPPPPPPPPPPPPP
Plz help ToT I'm horrible at math
Answer: 126
Step-by-step explanation:
A=2(wl+hl+hw)
start a conversation with me and you get 100 points :D
Answer:
lol hi :D
Step-by-step explanation:
Answer:
Hey what's up?
Step-by-step explanation:
How's life
Find the slope of the line that passes through the points given in the first column and match them with the appropriate result. (10,7) and (1,2)\left(10,7\right)\ and\ \left(1,2\right)(10,7) and (1,2)
Answer:
Step-by-step explanation:
1) The slope of line with the coordinate points (10, 7) and (1, 2) is [tex]\frac{5}{9}[/tex].
2) The slope of line with the coordinate points (9, 9) and (1, 16) is [tex]-\frac{7}{8}[/tex].
3) The slope of line with the coordinate points (9, 3) and (2, 1) is [tex]\frac{2}{7}[/tex].
4) The slope of line with the coordinate points (8, 8) and (1, 2) is [tex]\frac{6}{7}[/tex].
The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The formula to find the slope of a line is slope = [tex]\frac{(y_2-y_1)}{(x_2-x_1)}[/tex]
From the given table, we have
1) The coordinate points are (10, 7) and (1, 2)
Here, slope [tex]=\frac{(2-7)}{(1-10)}[/tex]
[tex]=\frac{5}{9}[/tex]
2) The coordinate points are (9, 9) and (1, 16)
Here, slope [tex]=\frac{(16-9)}{(1-9)}[/tex]
[tex]=-\frac{7}{8}[/tex]
3) The coordinate points are (9, 3) and (2, 1)
Here, slope [tex]=\frac{(1-3)}{(2-9)}[/tex]
[tex]=\frac{2}{7}[/tex]
4) The coordinate points are (8, 8) and (1, 2)
Here, slope [tex]=\frac{(2-8)}{(1-8)}[/tex]
[tex]=\frac{6}{7}[/tex]
Therefore,
1) The slope of line with the coordinate points (10, 7) and (1, 2) is [tex]\frac{5}{9}[/tex].
2) The slope of line with the coordinate points (9, 9) and (1, 16) is [tex]-\frac{7}{8}[/tex].
3) The slope of line with the coordinate points (9, 3) and (2, 1) is [tex]\frac{2}{7}[/tex].
4) The slope of line with the coordinate points (8, 8) and (1, 2) is [tex]\frac{6}{7}[/tex].
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The height and age of
a child.
Student Recording Sheet
Is it positive correlation, No correlation , or negative correlation ?
Answer: positive correlation
Step-by-step explanation:
sorry if im wrong
It is given that set H such that n(H) = x and H has 8 subsets. Determine the value of x.
A. 2
B. 3
C. 4
D. 8
Which point is located at (Negative 1, 1 and one-fourth)? A B C D
Answer:
Point A
Step-by-step explanation:
Look along the x axis (horizontal) and find -1. Then look on the y axis and find 1 and 1/4. Finally, find where the two coordinates meet and that's your point - A.
Hope this helps!
can someone help me with this
Answer:
what is that i dont answering this sorry
Mr. Ivey teaches dance at the middle school. His classes are 90 minutes long, and he spend 94% of class time teaching strength and conditioning. How many minutes do Mr. Ivey’s students spend on strength and conditioning in each class? | please give me the answer in a step by step explanation|
Answer: 84.6
Step-by-step explanation: Based on the given conditions, formulate: 90 x 94%
Calculate the product or quotient: 84.6
get the result: 84.6
Hopefully that helps you! :)
I WILL GIVE 30 POINTS TO THOSE WHO FILL IN THE BLANK CORRECTLY
Write an equation for the graph.
Answer: y=5/3x+3
Step-by-step explanation: remember rise over run meaning y over x next where the y intersect is is the b in the equation
Please help on both. I’m not sure of my answrs before I submit. Thank u :)
Answer:
ok so first you got to wait All the faith he had had had had no effect on the outcome of his life. ...
2 One morning I shot an elephant in my pajamas. ...
3 The complex houses married and single soldiers and their families. ...
4 The man the professor the student has studies Rome.
Step-by-step explanation:
Solve for x
−4x+60<72 OR 14x+11<-31
Answer:
x ≠ -3
Step-by-step explanation:
Adding 4x-72 to the first inequality gives ...
-12 < 4x
-3 < x . . . . . divide by 4
Adding -11 to the second inequality gives ...
14x < -42
x < -3 . . . . divide by 14
Now we have ...
x < -3 or x > -3
The solution is x ≠ -3.
_____
The graph of the solution set is the entire number line with a "hole" at -3. The number -3 is the only value not part of the solution set.
Area of rectangle and triangles!! HELP ASAPPP
Answer:
13. 15
14. 7.25
15. 18.7
16. 40.515
17. 9.6
18. 12.95
19. 20.4
20. 16.2
21. 24
22. 25.65
What are the coordinates of C if translated 5 units upward?
(6, 11)
hope this helps!
find the gfc of 22x , 33
Answer:
11
Step-by-step explanation:
22x = 2 · 11 · x
33 = 3 · 11
common factor to both is 11
hai, I need help ;)
2 - 2/5
what expressions are equivalent to this
plz somebody answer my teacher is gonna turn red as a pepper so help me
NOW!!!!!!! PLZ:l
Step-by-step explanation:
Some expressions that are equivalent to this is: 1 - 1/5; 2 - 1 1/5; 3 - 2 1/5; etc.
Translate this sentence into a equation. 70 is the product of Delilah‘s age and 5. use the variables d to represents Delilah’s age
Answer:
Step-by-step explanation:
i dont know.
Answer the following.
1 Bharat borrows a certain sum of money at
5% pa. If he pays 2000 as simple interest
at the end of the first year, find the sum he
borrowed
Answer:
40000
Step-by-step explanation:
Simple interest (I) is calculated as
I = [tex]\frac{PRT}{100}[/tex]
P is the amount borrowed , R is the interest and T the time in years
Here I = 2000 , R = 5 and T = 1 with P to be found , then
2000 = [tex]\frac{P(5)(1)}{100}[/tex] ( multiply both sides by 100 )
5P = 200000 ( divide both sides by 5 )
P = 40000
Answer:
The sum (Principal) is Rs.4000.
Step-by-step explanation:
Given :
Simple interest = Rs.2000Time = 5% per annum Time = 1 yearTo Find :
PrincipleUsing Formula :
[tex]\star\small{\underline{ \boxed{\sf{\red{S.I = \dfrac{P \times R \times T}{100}}}}}}[/tex]
S.I = Simple Interest P = Principle R = Rate T = TimeSolution :
Substituting all the given values in the formula to find the Simple Interest :
[tex]{\dashrightarrow{\small{\sf{S.I = \dfrac{P \times R \times T}{100}}}}}[/tex]
[tex]{\dashrightarrow{\small{\sf{2000= \dfrac{P \times 5 \times 1}{100}}}}}[/tex]
[tex]{\dashrightarrow{\small{\sf{2000= \dfrac{P \times 5}{100}}}}}[/tex]
[tex]{\dashrightarrow{\small{\sf{2000= \dfrac{5P}{100}}}}}[/tex]
[tex]{\dashrightarrow{\small{\sf{P = 2000 \times \dfrac{100}{5}}}}}[/tex]
[tex]{\dashrightarrow{\small{\sf{P = 2000 \times \cancel{\dfrac{100}{5}}}}}}[/tex]
[tex]{\dashrightarrow{\small{\sf{P = 2000 \times 20}}}}[/tex]
[tex]{\dashrightarrow{\small{\sf{P =Rs.40000}}}}[/tex]
[tex]\star\small{\underline{ \boxed{\sf{\red{P = Rs.40000}}}}}[/tex]
Hence, the sum Bharat borrowed is Rs.40000.
[tex] \rule{190}1[/tex]
Thanks so very much!!
Answer:
yw
Step-by-step explanation:
What is the y-intercept of a line that passes through the points (1,-7) and (5,-15)?
Answer: (0,-5) or just -5
Step-by-step explanation:
gradient = change in y/change in x = (-7+15)/(1-5) = -2
y = -2x + c
-7 = -2 x 1 + c
c = -7 + 2 = -5
y intercept is (0, -5)
which ordered pair is not in the solution set of y>-1/2x+5 and y_<3x-2
1 (5,3)
2 (4,3)
3 (3,4)
4 (4,4)
===========================================================
Explanation:
Lets go through the points one by one
So we'll try (5,3) first. Plug x = 5 and y = 3 into the first inequality
[tex]y > -0.5x+5\\3 > -0.5*5+5\\3 > -2.5+5\\3 > 2.5[/tex]
We get a true result so (5,3) is a solution to the first inequality. Now check the second inequality.
[tex]y \le 3x-2\\3 \le 3(5)-2\\3 \le 15-2\\3 \le 13\\[/tex]
That's also true. Therefore, the point (5,3) is a solution to the system overall.
Your teacher wants you to find a non-solution, so we must cross choice A off the list.
---------------------
Let's now try choice B. We have x = 4 and y = 3
[tex]y > -0.5x+5\\3 > -0.5*4+5\\3 > -2+5\\3 > 3[/tex]
That last inequality is false. It's not possible to have a number larger than itself (or smaller than itself). So (4,3) is not a solution to the first inequality. We don't need to check the second inequality as we found the answer.
Which of the following tables represents a function?
X 66
77
y 2 -2 3-3
x 2-2 3-3
y 55
77
x 3 -3 3-3
y 6 7
89
X 4 4 5 5
y 1 2 3 4
Answer:
x 2-2 3-3
y 5 5 7 7
Step-by-step explanation:
Each domain, or x value, can only be matched with one y value, so given this, the third one is the answer since every domain is only matched with one range, or in other words, there are no repeating domains in on the x row of the table.
The table that represents a function is
x 2 -2 4 -4
y 8 8 12 12
Option D is the correct answer.
What is a function?A function has an input and an output.
A function can be one-to-one or onto one.
It simply indicated the relationships between the input and the output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
A function can have many to one but a function can not have one to many.
So,
From the table,
x 2 -2 4 -4
y 8 8 12 12
This is a many-to-one function.
All the other tables are one-to-many functions.
Thus,
The table that represents a function is
x 2 -2 4 -4
y 8 8 12 12
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easy problem nice about of points
Answer:
1
Step-by-step explanation: i am not sure
The vertices of quadrilateral PQRS are listed.
P(3,7), Q(6,-2), R(0,-4), S(-3,5)
Which of the following is the strongest classification that identifies quadrilateral PQRS?
A.
Quadrilateral PQRS is a rectangle.
B.
Quadrilateral PQRS is a trapezoid.
C.
Quadrilateral PQRS is a square.
D.
Quadrilateral PQRS is a parallelogram.
Answer:
Rectangle
Step-by-step explanation:
Did it on
Option A is correct.
As, Quadrilateral PQRS is a rectangle because it has four right angles.
What is a rectangle?A rectangle is a quadrilateral with four right angles. It can also be defined as: an equiangular quadrilateral, since equiangular means that all of its angles are equal; or a parallelogram containing a right angle. A rectangle with four sides of equal length is a square.
here, we have,
Explanation:
Given:
The coordinate of vertices of quadrilateral PQRS are P(3,7), Q(6,-2), R(0,-4), S(-3,5).
Slope for two points (x1,y1) and (x2,y2) is given by:
m = y1-y2/ x1 - x2
.so, we get,
The slope of PQ is = -9/3 = -3
The slope of QR is = -2/-6 = 1/3
The slope of RS is = -3
The slope of SP is = 1/3
we know that,
The slopes of perpendicular lines are opposite reciprocals.
we get,
∴ all pair of sides has slopes that are negative reciprocals;
this means the figure has 4 right angle, so it is a rectangle.
Therefore, Quadrilateral PQRS is a rectangle because it has four right angles.
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Find the length of side x to the nearest tenth.
300
x
1
60°
Answer:
x=65
Step-by-step explanation:
FAM I NEED YOU HELP POR FAVOR OR MY TEACHER IS GANNA KILL ME:
You purchase two bottles of sunscreen and a hat. The hat cost $6.50. You pay 6% sales tax. You pay a total of $16.43. How much does one bottle of sunscreen cost?
Answer:
9.87
Step-by-step explanation:
6%= 0.06
0.06 +6.50 = 6.56
16.43 - 6.50 = 9.87
Can someone help me with this please.
Answer:
x = 29
Step-by-step explanation:
(x + 3) + (x - 1) + (x + 1) = 90
3x + 3 = 90
3x = 87
x = 29
Answer:
x = 29
Step-by-step explanation:
(x+3)+(x-1)+(x+1) = 90
90 = 3x +3
3x = 87
x = 29