Answer:
Summary:
The value of x = -14The value of y = 18The value of w = 14The value of z = 14Step-by-step explanation:
Given
The parallelogram ABCDAD = x-28BC = 3xAB = 12CD = 2/3yWe know opposite sides of a parallelogram are equal.
Therefore,
AD = BC AB = CDnow subtitute AD = x-28 and BC = 3x in AD = BC
AD = BC
x-28 = 3x
switch sides
3x = x-28
subracting x from both sides
3x-x = x-28+x
2x = -28
divide both sides by 2
2x/2 = -28/2
x = -14
Therefore,
The value of x = -14
Now subtitute AB = 12 and CD = 2/3y in AB = CD
AB = CD
12 = 2/3y
switching sides
2/3y = 12
y = 3/2 × 12
y = 18
Therefore,
The value of y = 18
We also know that the opposite angles of a parallelogram are equal.
Therefore,
5w = 70°
divide both sides by 5
5w/5 = 70°/5
w = 14
Therefore,
The value of w = 14
We know that the sum of the measures of the adjacent angles of a parallelogram is 180°.
Here,
m∠B = 70°.
m∠A = (3w+2z)°
As m∠B is adjacent to m∠A.
so
m∠A + m∠B = 180°
so substituting m∠B = 70° and m∠A = (3w+2z)° in the equation
70° + (3w+2z)° = 180°
now substituting w = 14 in the equation
70° + (3(14) + 2z)° = 180°
70° + (42+2z)° = 180°
70° + 42 + 2z = 180°
112 + 2z = 180°
2z = 180° - 112
2z = 68
divide both sides by 2
2z/z = 68/2
z = 34
Therefore,
The value of z = 14
Summary:
The value of x = -14The value of y = 18The value of w = 14The value of z = 14Solve the inequality 3x-1 < 2x+5
Answer:
x<6
Step-by-step explanation:
Solve for x
by simplifying both sides of the inequality, then isolating the variable.
Inequality Form:
x<6
Nine randomly selected customers at a local fast-food restaurant ordered meals having the following calorie counts: 975,520, 1560
.872, 1029,534,362,954, and 1019. Let y denote the calorie content of a meal ordered at this restaurant. Find the following sum.
Answer: 7825 calories
Step-by-step explanation:
Feom the question, we are told that the meals have the following calories content meals having the following calorie counts: 975,520, 1560
.872, 1029,534,362,954, and 1019.
The sum of the calories will be:
= 975 + 520 +1560 + 872 + 1029 + 534 + 362 + 954 + 1019.
= 7825 calories
If h = 12 units and r= 4 units, what is the volume of the cone shown above?
Use 3.14 for .
A.
12.56 cubic units
B.
50.24 cubic units
C.
200.96 cubic units
D. 602.88 cubic units
Please help I don’t know what the answer is
Answer:
its C
Step-by-step explanation:
what two numbers can multiplied together and get 24 and those same two numbers get added to each other and get -4?
is (-2+x)-(3x-8) equivalent to -2x+4
Answer:
No solution
Step-by-step explanation:
There are no values of x that make the equation true.
Brainly pls?
Answer:
No, it's not equivalent to it.
Step-by-step explanation:
[tex]( - 2 + x) - (3x - 8) = - 2 + x - 3x + 8 \\ = 6 - 2x = - 2x + 6[/tex]
please help, I'm really struggling to get my homework done
Identify the asymptotes, domain, and range
f(x)=-1/x+4
Just do number 2 at the least, if you want to do more ill give brainliest
1.
[tex]f(x)=\dfrac1{x-1}=\dfrac1{x-1}+0[/tex]
x-1 = 0 for x = 1
so:
Vertical asymptote: x = 1
Domain: Dom f = R\{1} {or: Dom f = (-∞, 1)∪(1, ∞)}
Horizontal asymptote: y = 0
Range: Ran f=R\{0} {or: Ran f = (-∞, 0)∪(0, ∞)}
2.
[tex]f(x)=\dfrac{-1}{x}+4=\dfrac{-1}{x-0}+4[/tex]
x-0 = 0 for x = 0
so:
Vertical asymptote: x = 0
Domain: Dom f = R\{0} {or: Dom f = (-∞, 0)∪(0, ∞)}
Horizontal asymptote: y = 4
Range: Ran f=R\{4} {or: Ran f = (-∞, 4)∪(4, ∞)}
3.
[tex]f(x)=\dfrac{1}{x+3}-3[/tex]
x+3 = 0 for x = -3
so:
Vertical asymptote: x = -3
Domain: Dom f = R\{-3} {or: Dom f = (-∞, -3)∪(-3, ∞)}
Horizontal asymptote: y = -3
Range: Ran f=R\{-3} {or: Ran f = (-∞, -3)∪(-3, ∞)}
4.
[tex]f(x)=\dfrac{-1}{x+5}-6[/tex]
x+5 = 0 for x = -5
so:
Vertical asymptote: x = -5
Domain: Dom f = R\{-5} {or: Dom f = (-∞, -5)∪(-5, ∞)}
Horizontal asymptote: y = -6
Range: Ran f=R\{-6} {or: Ran f = (-∞, -6)∪(-6, ∞)}
4.
[tex]f(x)=\dfrac{-1}{x+1}+3[/tex]
x+1 = 0 for x = -1
so:
Vertical asymptote: x = -1
Domain: Dom f = R\{-1} {or: Dom f = (-∞, -1)∪(-1, ∞)}
Horizontal asymptote: y = -6
Range: Ran f=R\{3} {or: Ran f = (-∞, 3)∪(3, ∞)}
5.
[tex]f(x)=\dfrac{1}{x+4}-2[/tex]
x+4 = 0 for x = -4
so:
Vertical asymptote: x = -4
Domain: Dom f = R\{-4} {or: Dom f = (-∞, -4)∪(-4, ∞)}
Horizontal asymptote: y = -2
Range: Ran f=R\{-2} {or: Ran f = (-∞, -2)∪(-2, ∞)}
simplify. enter the answer in the box. PLEASE I NEED IT ASAP
Answer:
21√7
Step-by-step explanation:
What is the value of this function when x = 9?
Please help!
Answer:
Undefined
Step-by-step explanation:
If x = 9, then.......
[tex]f(x) = \frac{x^{2} + 9x + 20}{x^{2} - 4x - 45} = \frac{9^{2} + 9(9) + 20}{9^{2} - 4(9) - 45} = \frac{182}{0}=[/tex] Undefined
What is 1 3/8 as an improper fraction ?
Answer: 11/8
Step-by-step explanation:
1. Multiply the whole number by the denominator: 8•1=8
2. Add the numerator to the sum of the whole number and denominator: 8+3=11
3. Put the original denominator as the denominator, again: 11/8
hope this helps a bit lol
–15 = a/5
A. a = –3
B. a = –20
C. a = –10
D. a = –75
Answer: a = -75
Step-by-step explanation:
i just multiplied both sides by 5, in order to get "a" by itself.
-75 = a
then, just for kicks, we switch it around so that the variable is in front.
a = -75
HEEEEEEEEEEELPPPPPPPPP PLEASEEEEEEE URGENT 15 POINTS+ MORE
Answer:
y - 70, x - 73 should be the answer
Step-by-step explanation:
Solve the following multi-step equation: 4(2 - 4x) - 3x = 65
Answer:
x = -3
Step-by-step explanation:
4(2 - 4x) - 3x = 65
Distribute the 4.
8 - 16x - 3x = 65
Combine like terms.
8 - 19x = 65
-19x = 57
Divide by -19 to isolate x.
x = 57/-19
x = -3
Check.
4(2 - 4(-3)) - 3(-3) = 65
4(2 - (-12) + 9 = 65
4(14) + 9 = 65
56 + 9 = 65
65 = 65
The solution of the given linear equation 4(2 - 4x) - 3x = 65 is -3.
Two algebraic expressions separated by an equal symbol in between them and with the same value of the expression are called equations.
Example = 2x +4 = 12
here, 4 and 12 are constants and x is variable.
The solution of the equation 4(2 - 4x) - 3x = 65 is calculated as:
4(2 - 4x) - 3x = 65
Multiply the expressions inside the brackets,
8 - 16x -3x = 65
8 - 19x = 65
Subtract 8 from both the sides,
-19x = 65- 8
-19x = 53
Divide both side by -19
[tex]x = \dfrac{-53}{19}[/tex]
Thus, the value of x is -3.
Learn more about equations here:
https://brainly.com/question/14686792
#SPJ6
4. The money in Mrs. Finch’s savings account is earning 1.45% interest. Which number below is greater than 1.45%
A) 0.009
B) 0.019
C) 0.0032
D) 0.0117
which of the answers are correct? there is possibly more than one.
Answer:
[tex]b_2 = \frac{2A}{h} -b_1[/tex]
Step-by-step explanation:
Given
[tex]A = \frac{1}{2}h(b_1 + b_2)[/tex]
Required
Select equivalent expressions
Multiply through by 2
[tex]2*A = 2*\frac{1}{2}h(b_1 + b_2)[/tex]
[tex]2*A = h(b_1 + b_2)[/tex]
[tex]2A = h(b_1 + b_2)[/tex]
Divide through by h
[tex]\frac{2A}{h} = \frac{h(b_1 + b_2)}{h}[/tex]
[tex]\frac{2A}{h} = b_1 + b_2[/tex]
Subtract b1 from both sides
[tex]\frac{2A}{h} -b_1= -b_1 + b_1 + b_2[/tex]
[tex]\frac{2A}{h} -b_1= b_2[/tex]
[tex]b_2 = \frac{2A}{h} -b_1[/tex]
From the list of options, there is only one answer
Shannon bought 518 pounds of apples. Bill bought 278pounds of apples. Which most closely estimates how many more pounds of apples Shannon bought than Bill?
Answer:
240 pounds.
Step-by-step explanation:
Given that,
Shannon bought 518 pounds of apples.
Bill bought 278 pounds of apples.
We need to find how many more pounds of apples Shannon bought than Bill.
More Apples = Shannon Apples - Bill Apples
= 518 - 278
= 240
Hence, 240 pounds of apples Shannon bought than Bill.
Find the unknown sides and angles of this triangle using the Law of Cosines.
Round to the nearest hundredth.
Now, I know side C is 10.35, but I couldn't get the angles for A or B. I'm uncertain if this is a bug or what, but could someone help me out? I'd appreciate a well written explanation as well.
Answer:
side c-10.35 Angle a-50.88 Angle B-94.12
Step-by-step explanation:
I found the answers on a khan academy thing. I just took the quiz and got a 100%
Plllllllllllllllllllllllzzzzzzzzzzzz help me out I’m confused 25 points
Answer:
0+2+-4=-2
Step-by-step explanation:
h + 13.4 = -13.4
h = ?
write the equation of a line perpendicular to 2y+x=4 and passes through the point (2,1)
Answer:
Por favor, dame una captura de pantalla de la pregunta No entiendo esto gracias
Answer:
[tex]-2x+y=-3[/tex]
Step-by-step explanation:
Recall perpendicular lines have negative-reciprocal slopes. Since the equation [tex]2y+x=4[/tex] has a slope of [tex]-\frac{1}{2}[/tex] ([tex]y=-\frac{1}{2}x+2[/tex]), any line perpendicular to it will have a slope of [tex]-\frac{1}{-\frac{1}{2}}=2[/tex].
Therefore, we have the line:
[tex]y=2x+b[/tex] where [tex]b[/tex] is the y-intercept.
We can plug in the point it passes through to find the final equation:
[tex]1=2(2)+b,\\b=1-4,\\b=-3[/tex].
Therefore, the equation of the line perpendicular to [tex]2y+x=4[/tex] that passes through the point [tex](2, 1)[/tex] is:
[tex]y=2x-3[/tex] (slope-intercept form)
However, since the initial line given is in standard form, re-write this equation to standard form:
[tex]y=2x-3,\\y-2x=-3,\\\fbox{$-2x+y=-3$}[/tex].
In South Korea there are 21 280 000 licensed vehicles on the road. Of these,
16 486 000 are private cars. What percentage of the licensed vehicles are private cars?
Answer:
You got the answer from the other person
Step-by-step explanation:
-X + 5 = 1
What is the answer for this equation and the steps
Answer:
x=4
Step-by-step explanation:
-x=1-5 (subtract 5 from both sides to isolate the x variable)
-x= -4 (1-5= -4)
x=4 (divide both sides by -1 so the x will not be a negative.)
Therefore, your answer will be x=4. Hope this helps! :)
Answer:
4
Step-by-step explanation:
First, let's move "+5" on the other side. We should change "+" on "-":
-x=1-5
1-5=-4:
-x=-4 |• (-1)
x=4
What is the measure, in degrees, of
PLEASE HELP
Answer:
58 degrees
Step-by-step explanation:
Complementary angles add together to 90 degrees
(5x + 8) + (3x + 2) = 90
8x + 10 = 90
x = 10
5(10) + 8 = 58
Solve the following system of equations:
y = 2x +1
y=-x+ 4
x=?
y=?
Answer:
x = 1, y = 3
Step-by-step explanation:
Given the 2 equations
y = 2x + 1 → (1)
y = - x + 4 → (2)
Substitute y = 2x + 1 into (2)
2x + 1 = - x + 4 ( add x to both sides )
3x + 1 = 4 ( subtract 1 from both sides )
3x = 3 ( divide both sides by 3 )
x = 1
Substitute x = 1 into (1) and evaluate for y
y = 2(1) + 1 = 2 + 1 = 3
Then solution is x = 1, y = 3
I need the answer plz so I dont fail
Answer:
Whats the problem? it wont show for me...
Step-by-step explanation:
i will awnser, just gotta give me the problem
Does anybody know answer to this plsssss
9514 1404 393
Answer:
(a) 4(2x^5 +x^2 -3)
Step-by-step explanation:
The only common factor is 4. That factor must be removed from every term to find the expression that goes inside parentheses.
8x^5 +4x -12 = 4(2x^4 +x -3)
A train moves at a constant speed. The train travels 13 miles in 1/6hour What is the train's speed in miles per hour
Answer:
I think the answer is 78.
Answer:
Answer is 2
Step-by-step explanation:
Because The other answers dont punctuation and answer 2 explains as the president
can someone tell me what circumference means and give an example of it
Step-by-step explanation:
distance around a circle- like middle of an apple
Answer:
The circumference is defined as the distance around something round or rounded, especially the distance around the edge of a circle. An example of circumference is the distance around the outer boundary of a circle. The line bounding a circle, a rounded surface, or an area suggesting a circle.
The slope of line TV is 3/5. What is the slope of any line perpendicular to TV?
options:
5/3
−3/5
3/5
−5/3
HELP PLEASE I ONLY HAVE 10 MINUTES LEFT I WILL MARK BRAINLIEST ANSWER
Which equation results from adding the equations in this system?
11x-3y=-17
-4x+3y=-18
A -7x= -35
B -7x= 35
C 7x= -35
D 7x= 35
adding 11x and -4x makes it 7x
adding-3y and 3y cancels it out so your left with nothing
adding a negative and a negative keeps it a negative so its 18+17 making it -35
so the answer is C