Answers
Answer:
x = 6
Step-by-step explanation:
Answer:
x = 6
Step-by-step explanation:
GIVEN :-
AD ║ BCAE = 16 unitsAB = 5x + 2 unitsDE = 12 unitsDC = 24 unitsTO FIND :-
Value of xGENERAL CONCEPT TO BE USED IN THIS QUESTION :-
Basic Proportionality Theorem -
If a line drawn parallel to one side of a triangle and intersects the other two sides at distinct points , it divides the other two sides in equal proportion.
SOLUTION :-
AD is the line drawn parallel to BC and intersects EB & EC at A & D respectively. By using Basic Proportionality Theorem , it can be stated that -
[tex]\frac{AE}{AB} = \frac{DE}{DC}[/tex]
[tex]=> \frac{16}{5x + 2} = \frac{12}{24}[/tex]
[tex]=> \frac{16}{5x + 2} = \frac{1}{2}[/tex]
[tex]=> 5x + 2 = 16 \times 2 = 32[/tex]
[tex]=> 5x = 32 - 2 = 30[/tex]
[tex]=> x = \frac{30}{5} = 6[/tex]
Related Questions
Tarea 9 (Expresiones algebraicas) entrega 31/5/2021 Copiar en el cuaderno de clase y plantear la ecuación Plantea una ecuación para cada situación Juan compró 2 panchos y 3 hamburguesas y le cobraron $ 330 Realizo un pago de la factura de luz, agua y cable en total me cobran $ 3890 Un padre reparte un dinero X que recibió entre su esposa y su hijo, a su esposa le da el doble que al hijo. En el salón de clase hay 27 alumnos entre mujeres y varones.
Answers
Answer:
1-
2X + 3Y = 330
2-
X + Y + Z = 3890
3-
1/3X + 2/3X = X
4-
X + Y = 27
Step-by-step explanation:
Para plantear ecuaciones para las siguientes situaciones se deben realizar los siguientes razonamientos lógicos:
1- Juan compró 2 panchos y 3 hamburguesas y le cobraron $330.
Panchos = X
Hamburguesas = Y
2X + 3Y = 330
2- Realizo un pago de la factura de luz, agua y cable en total me cobran $3890.
Luz = X
Agua = Y
Cable = Z
X + Y + Z = 3890
3- Un padre reparte un dinero X que recibió entre su esposa y su hijo, a su esposa le da el doble que al hijo.
Esposa = 2/3X
Hijo = 1/3X
1/3X + 2/3X = X
4- En el salón de clase hay 27 alumnos entre mujeres y varones.
Mujeres = X
Varones = Y
X + Y = 27
Which expression is equivalent to this expression?
Answers
Answer:
a-4b
Step-by-step explanation:
you combine like terms, (-6b)+2b=-4
4a-3a=1a or just a
then you get your awsner a-4
The PRODUCT of 25 and x.
Answers
Answer:
25x
Step-by-step explanation:
25•x is 25x.
Until you know what x is you cannot do anything
Once you find out what x is you can plug in the number in the x space to get 25•__
I hope this helped!
A system of linear equations in two variables is the collection of two linear equations in two variables considered simultaneously. B. A system of linear equations in two variables must have at least one solution. C. It is possible for a system of linear equations in two variables to have infinitely many solutions. D. The solution to a system of equations in two variables is the set of all ordered pairs for which both equations are true.
Answers
Complete Question:
Which of the following statements is not true?
Choose the incorrect statement below.
Answer:
B. A system of linear equations in two variables must have at least one solution.
Step-by-step explanation:
A linear function has a positive relationship and as such an increase in one variable (input variable) causes an increase in the other variable (output variable) i.e the variables are directly proportional. Thus, the graph of a linear function is a straight-line and its slope is always constant.
Similarly, a linear equation is an algebraic equation of the first order with two variables and each of its term having an exponent of one.
Generally, a system of linear equations in two variables must have at least two solution.
For example, y = 2x + 1 is a linear equation.
a. To find the value of y;
When x = 0
y = 2(0) + 1
y = 2 + 1
y = 3
b. To find the value of x;
When y = 0
0 = 2x + 1
2x = -1
x = -½
What is the sum of the fractions? Use the number line and equivalent fractions to help find the answer.
-12-1
-3
-11
2
2
-1
2
х
-1
DO
o
-13
من ال۔
ला
Answers
==================================================
Explanation:
Think of a whole cake or pizza. Now slice it into 4 equal pieces. This represents 1 is the same as 4/4.
Adding on another quarter slice gets us 4/4+1/4 = 5/4
In other words, the mixed number 1 & 1/4 is the same as the improper fraction 5/4.
So 1 & 1/4 = 5/4
This then means -1 & 1/4 = -5/4 because we multiply both sides by -1.
Now we'll add on 1/2, which is the same as 2/4, like so
(-1 & 1/4) + 1/2
-(1 & 1/4) + 2/4
-(1 + 1/4) + 2/4
-1 - 1/4 + 2/4
-1 + (-1/4 + 2/4)
-1 + 1/4
-4/4 + 1/4
-3/4
which points us to choice C as our final answer
Notice how if we started at -5/4, and moved to the right 2 tickmarks, we arrive at -3/4. Each tickmark represents 1/4 of a unit, so two of them is 2/4 = 1/2.
Side note: -3/4 converts to the decimal -0.75
Find the distance from point P to RQ
Answers
Answer:
option A : about 2.8 units
Step-by-step explanation:
To find the distance from P to RQ , Find the distance from ( 1 , 1) to (3 , 3).
[tex]Distance = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]
[tex]= \sqrt{(3-1)^2 + (3-1)^2}\\\\= \sqrt{2^2 + 2^2 }\\\\= \sqrt{4 + 4 }\\\\= \sqrt{8}\\\\=2\sqrt{2}[/tex]
= 2.83 units
Answer:
A
Step-by-step explanation:
Remark
The distance you want is the point P to the (3,3). Then two lines meet as these two do, the shortest distance is the right angle distance. And that is how distance is defined.
Formula
d = sqrt( (x2 - x1)^2 + (y2 - y1)^2 )
Givens
x2 = 1
x1 = 3
y2 = 1
y1 = 3
Solution
d = sqrt( (1 - 3)^2 + (1 - 3)^2 )
d = sqrt( (-2)^2 + (-2)^2 )
d = sqrt ( 4 + 4)
d = sqrt(8)
d = 2√2
d = 2.8
A, B & C lie on a straight line. BD = CD. ∠ BCD = 70° and ∠ BAD = 10°. Work out x
Answers
Answer:
x= 100
Step-by-step explanation:
straight line = 180⁰
180-(70+10)= 100
Pat was shopping and found a
jacket with the original price of
$120 on sale for $12. What was
the percent decrease in the
cost? %
Hint: Change over original
Answers
Answer:
91.7%
hope I helped
What is the equation of the line that has a slope of 3 and goes through the point (-3,-5)?
O A. y=3x+4
OB. y= 3x - 14
O cy=3x-4
OD. y= 3x+12
Answers
Answer:
y = 3x + 4
Step-by-step explanation:
Given:
Coordinates
(-3 , -5)
Slope m = 3
Find;
Equation of slope
Computation:
Given, x1 = -3 and y1 = -5
Equation of slope = y - y1 = m(x - x1)
Equation of slope = y - (-5) = 3(x + 3)
Equation of slope = y + 5 = 3x + 9
Equation of slope = y = 3x + 9 - 5
Equation of slope = y = 3x + 4
y = 3x + 4
Which is the product of (1 +41+3x) (2 - 7x–9x)?
Answers
Answer:
-48x^2 -666x+84
Step-by-step explanation:
Exponet is ^2.
Multiply is •
Use Distributed Property. Multiply the second parathesis by each term from the first parathesis.
Any expression multiplied by 1 remains the same. Distribute 41 through the parathesis. 41(2-7x-9x).
Distribute 3x through the parathesis 3x • (2-7x-9x).
You will have these numbers left: (Slide 2)
Add the numbers, 2 and 82 to get 84. Add -7x -9x + -287x -369x + 6x to get -666x. Add -21x^2 - 27x^2 to get 48x^2.
Use the communitative property to reorder the terms. And then your answer is -48x^2 -666x+84.
Find measure of angles B, E, D and C and the length of BC.
Triangle ABC ~ Triangle DEF. Measure of angle A = 30 degrees and measure of angle F = 65 degrees. AB=20, DE = 35, EF= 28.
Answers
Answer:
BC = 16 B=85 E=85 D=30 C=65
Step-by-step explanation:
Step-by-step explanation:
< B = 180-30-65=85°
< E = 85°
< D = 30°
< C = 65°
BC = 20/35 × 28 = 16
If 24 - 2x = 19 + 3x, then x =
Answers
Answer:
1 =x
Step-by-step explanation:
24 - 2x = 19 + 3x
Add 2x to each side
24 - 2x+2x = 19 + 3x+2x
24 = 19 +5x
Subtract 19 from each side
24-19 =19+5x-19
5 = 5x
Divide by 5
5/5 = 5x/5
1 =x
What is the slope of the line
Answers
Answer:
Slope = 3
Step-by-step explanation:
Take two points and find the slope:
[tex]m=\frac{y_1-y_2}{x_1-x_2}\\\\m=\frac{3-0}{-1-(-2)}\\\\m=\frac{3}{1}=3[/tex]
2.07 x 1.7= ________ by step explenation
Answers
Answer:
3.519
Step-by-step explanation:
2.07 x 1.7 = 3.519
4x - 2y + 2x =
I don't know the answer
Answers
Answer:
6x -2y
Step-by-step explanation:
4x - 2y + 2x
Combine like terms
4x +2x - 2y
6x -2y
Answer:
6x - 2y
Step-by-step explanation:
Add 4x and 2x
6x - 2y
Hope this helps!
If you need more help with these types of equations, don't be afraid to reach out!
Find the measure of AB
A. 20
B. 21
C. 22
D. 14
Answers
Answer:
[tex]CB.CA=CD .CK[/tex]
[tex]9(9+2x+5)=10(10+2x+1)[/tex]
[tex]9(2x+14)=10(2x+11)[/tex]
[tex]18x+126=20x+110[/tex]
[tex]126-110=20x-18x[/tex]
[tex]16=2x->x=8[/tex]
[tex]AB=2(18)+5[/tex]
[tex]=21[/tex]
So, your answer is B) 21
hope it helps...
Find the output, d, when the input, t, is 11.
d= -20 + 1lt
d=
Answers
Answer:
d = -9
Step-by-step explanation:
d = -20 + (1 x 11)
=-20 + 11
=-9
What are the values of AB and DE in parallelogram
ABCD?
AB=?
PLEASE HELP
Answers
Answer:
AB=12
ED=6
Step-by-step explanation:
AB=CD=12
BC=AD=26
ED=26-20=6
Phillipa says that ( 27 − 9 ) × 3 ÷ 9 + 18 = 42 . Is she correct? If not, what is the correct answer? A. She is correct. B. She is not correct. The correct answer is 2. C. She is not correct. The correct answer is 24. D. She is not correct. The correct answer is 26.
Answers
(27-9) x 3 / 9 + 18 = 42
Follow order of operations: parentheses first:
18 x 3 / 9 + 18 = 42
Next is multiplication and division in order from left to right:
18 x 3 = 54
54/9 = 6
Now you have 6 + 18 = 24
24 does not equal 42 so Phillipa is not correct.
The answer is C. She is not correct. The correct answer is 24
Answer:
answer=she is not correct
Step-by-step explanation:
(27-9)*3÷9+18
18*3÷9+18
18*1/3+18
18/3+13
6+13
19
use BODMAS rule (Bracket Of Division Multiplication Addition And Subtraction)
Use the given area of the base and the height to find the
volume of the right rectangular prism, in cubic units.
Answers
view what's attached
Answers
Step-by-step explanation:
when numbers are negative, the bigger the number looks the smaller it is therefore
-6 is smaller than -5
but 6 is bigger than 5
however, the numbers are;
-5.99, -3, -6, -5.9, -1, -5.999, -5 ,2
10% divided by 24% divided by 49%
Answers
Answer:
[tex]\frac{125}{147}[/tex]
Step-by-step explanation:
10% ÷ 24% ÷ 49%
1/10 ÷ 6/25 ÷ 49/100
5/12 ÷ 49/100
[tex]\frac{125}{147}[/tex]
Please answer fully and explain
Answers
Answer:
Step-by-step explanation:
Hope this helps u !!
102=(1/3)πr²h
102×3÷π÷(4.96)²=h
h=3.96cm
Describe each transformation that must be applied to f(x)=x² to get the function g(x)=1/2(x+2)² (30 POINTS)
Answers
Answer:
translate 2 units to the left and compress by 1/2 in the y direction
Step-by-step explanation:
f(x)=x²
y = f(x + C) C > 0 moves it left
We add 2 to move it 2 units to the left
h(x) = (x+2)^2
y = Cf(x) 0 < C < 1 compresses it in the y direction
g(x) = 1/2 (x+2)^2
Please help me with this. Method included please
Answers
Answer:
a) 9.135
b) 392.79
Step-by-step explanation:
Hope my answers are helpful
Which equation has the same solution as x^2 – 8x + 19 = -10?
(x +4)^2 = -45
(x – 4)^2 = -13
(x – 4)^2= – 45
(x + 4)^2 = = -13
Answers
For each parabola, a) Write the equation of the function; b) Give the minimum or maximum value of the function; c) Find the domain and range.
Answers
Answer:
Following are the solution to the given question:
Step-by-step explanation:
Please find the complete question in the attached file.
For question 5:
For point a:
[tex]\to y=x^2[/tex]
For point b:
[tex]Maximum (0,0)[/tex]
For point c:
[tex]Domain: (-\infty,+ \infty)\\\\Range: (-\infty, 0)[/tex]
For question 6:
For point a:
[tex]\to y=-x^2[/tex] (the negative sign is used to change the direction of the parabola)
For point b:
[tex]Maximum (0,0)[/tex]
For point c:
[tex]Domain: (-\infty,+ \infty)\\\\Range: (0,+\infty)[/tex]
fazer scores 43% in a spelling test, what percentage did he get wrong???
Answers
Answer:
57
Step-by-step explanation:
100 - 43 =
57
Answer:
He got 57% wrong
Step-by-step explanation:
If he got 43% correct, there is 100 percent on the assignment
100 -43 = 57
He got 57% wrong
Who knows the answer ?
Answers
Answer:
m angle CDE is 163 degree
Step-by-step explanation:
98+65=163
Which solid has a great volume
Answers
Answer:
The question is imcomplete. I need a diagram of some sort to help you out.