ABCD is a rectangle. AB = 3x+5, AC = 7x-9, BC = 2y+5, BD = 2x+62. Solve for x. (Round your answer to one decimal place, if necessary.)
Answers
Answer:
x=14.2
Step-by-step explanation:
AC = BD
The diagonals of a rectangle are equal
7x-9 = 2x+62
Subtract 2x from each side
7x-9-2x = 2x+62-2x
5x-9 = 62
Add 9 to each side
5x-9+9 = 62+9
5x= 71
Divide by 5
5x/5 = 71/5
x=14.2
Related Questions
if 3x=y-5 and x=-4 then y =
Answers
Answer:
-7 = y
Step-by-step explanation:
3x=y-5
Let x = -4
3(-4) = y-5
-12 = y-5
Add 5 to each side
-12 +5 = y-5+5
-7 = y
work out 1.56/0.4
MUST SHOW WORKING
Answers
Answer:
3.9
Step-by-step explanation:
1.56/0.4
= 156/(0.4×100)
= 156×10/(4×100)
= 1560/400
= 156/40
= 39/10
= 3.9
PLEASE HURRY I HAVE 5 MINUTES LEFT
A restaurant charges an automatic gratuity of 18% on tables with more than 6 people. A party of 8 had a bill of p. Which expression can be used to find the total cost of the meal with the gratuity?
a) 0.18p
b) 0.82p
c) 1.18p
d) 18.00p
Answers
Answer:
18.00p maybe...............
Rewrite in multiplication please
Answers
Answer:
8*4+3*2
Step-by-step explanation:
Answer:
8*4 + 3*2Step-by-step explanation:
8*4 + 3*2
= 32 + 6
= 38//
The question asks to rewrite it using multiplication. It's not asking to simplify. Then the answer is 8*4 + 3*2.
Which exponential function is represented by the graph?
Answers
Answer:
Answer is option (B)......
Identify the coordinates of the vertices of the polygon.
A. (3, 5), (-6, 1), (-3, -4), (0, -5), (7,–3)
B. (–3,5), (–6,1), (–3,–4), (0,–5), (7,–3)
C. (3,5), (–6,1), (–3,–4), (–5,0), (7,–3)
D. (3,5), (6,1), (–3,–4), (0,–5), (7,–3)
Answers
no sé la verdad cual es. hay más gente que te pueda ayudar con esa respuesta, disculpa la verdad
what is 2,034,627 rounded to the nearest ten thousand
Answers
Answer:
rounded to the nearest ten thousand
2,034,627
2,030,000
Simplify (x³ - y²)(x+y) divided by (x² - y²)³
can you guys give me proper explanation?
Answers
you should write the devision as fraction so it can be easier for you to simplify
2. then you simplify (x+y) and (x+y)^3
=> x^3-y^2 over (x-y)^3 x (x+y)^2
and there you go! i hope it helped and you can give me brainliest if you want to, that would mean a lot
Answer:
x^4 - yx^3 - xy^4 - y^5
Step-by-step explanation:
(x³ - y²)(x+y) / (x² - y²)³
(x^3 - y^2) (x+y) / (x^6 - y^6)
(x^3 - y^4) (x+y)
x^4 - yx^3 - xy^4 - y^5
Rosemary and Darwin are discussing how to find the value of
-28 + 45. Rosemary says the value of -28 + 45 = -73. Darwin
says the value of -28 + 45 = 17.
Who is correct, and why?
Answers
Answer:
Darwin
Step-by-step explanation:
-28+45=17 because 45-28=17. To prove, do the math!
what is the equation of the line that passes through the points (-8,8) and (4,-1)
Answers
Answer:
y = (-3/4)x + 2
Step-by-step explanation:
Find the slope of this line. Note how the first x-coordinate (-8) becomes 4, a jump of 12, and how the first y-coordinate (8) becomes -1, a decrease of 9. Then the slope is
m = (change in y) / (change in x) = -9/12 = m = -3/4
Find the y-intercept from this data using the slope-intercept form:
y = mx + b becomes 8 = (-3/4)(-8) + b when x = -8, y = 8 and m = -3/4.
Solving this equation for b, we get:
8 = 6 + b, so that b must be 2.
The desired equation is y = (-3/4)x + 2.
Seventy-two books were to be divided up among 18 children. Which of the following
expressions is equivalent to this fraction?
a. 8/3 divided by 6/9
b. 8/3 times 2/3
c. 2/9 divided by 8/9
d. 2 times 8/2
Answers
Answer:
a
Step-by-step explanation:
cause if 72 book were divided by 18 kids they would hav all gotten 4 books each
so a is the answer cause it gives youthe answer 4
Answer: a. 8/3 divided by 6/9
Step-by-step explanation: I got this question on my test
PLEASE SOMEONE ANSWER THIS R3JGWERHTRYT
Order the numbers from least to greatest.
A) 3.41%, 0.31, 0.314, 0.3333
B) 0.3333, 0.31, 0.314, 3.41%
C) 3.41%, 0.314, 0.3333, 3.51%
D) 0.31, 0.314, 0.333, 3.41%
Answers
answer:
D) 0.31 , 0.314 , 0.333 , 3.41%
because, 3.14% converted to decimal is 3.41
Re write the statement 19 +7 / 2 x 6 + 1 by including two pairs of brackets to make the total value equal to 2
Answers
PREMISES
y=the expression 19+7/2×6+1 rewritten by including two sets of brackets or parentheses to get a result of 2
CALCULATIONS
To clearly express the mathematical phrase 19+7/2×6+1 to get a result of 2 requires specific parenthetical treatment.
y=19+7/2×6+1 becomes
y=(19+7)/(2×6+1)
y=26/(12+1)
y=26/13
y=
2
PROOF
If y=2, then the inverse of the phrase (19+7)/(2×6+1) returns
y(2×6+1)=19+7
2(2×6+1)=19+7
2(12+1)=19+7
2(13)=26 and
26=26 proves the solution y=2 to the phrase (19+7)/(2×6+1)
cos theta Root over 1 - cos square theta
Answers
Answer:
[tex]{ \bf{ \cos \theta \sqrt{1 - { \cos }^{2} \theta } }} \\ { \sf{ = \cos \theta \sqrt{ { \sin }^{2} \theta} }} \\ { \sf{ = \cos \theta \sin \theta }} \\ { \sf{ = \frac{1}{2} \sin(2 \theta) }}[/tex]
Factor each of the following perfect square trinomials. X^2+5+6 20 points
Answers
Answer:
(x + 2)(x + 3)
Step-by-step explanation:
To factor perfect square trinomials, we have to follow a certain trick, the two factor numbers must equal b (in this case 5x) when added and equal c (in this case 6) when multiplied.
Simply enough, two numbers that do this is 2 and 3.
Therefore, our factor numbers are 2 and 3, making the last eqaution (x + 2)(x + 3)
help me to solve tan^3 2x-3tan2x+2=0
Answers
Answer:
Step-by-step explanation:
let tan 2x=y
y³-3y+2=0
y³-y-2y+2=0
y(y²-1)-2(y-1)=0
y(y+1)(y-1)-2(y-1)=0
(y-1)[y(y+1)-2]=0
(y-1)(y²+y-2)=0
(y-1)(y²+2y-y-2)=0
(y-1)[y(y+2)-1(y+2)]=0
(y-1)(y+2)(y-1)=0
y=1,1,-2
tan 2x=1=tanπ/4=tan (nπ+π/4)=tan π/4(n+1)
2x=π/4(n+1)
x=π/8(n+1)
where n is an integer.
tan 2x=-2
[tex]2x=tan^{-1}(-2)\\x=\frac{1}{2} tan^{-1}(-2)[/tex]
-5f - 8=2(3f+2)
---------------
Answers
Answer:
f = - [tex]\frac{12}{11}[/tex]
Step-by-step explanation:
Given
- 5f - 8 = 2(3f + 2) ← distribute parenthesis
- 5f - 8 = 6f + 4 ( subtract 6f from both sides )
- 11f - 8 = 4 ( add 8 to both sides )
- 11f = 12 ( divide both sides by - 11 )
f = [tex]\frac{12}{-11}[/tex] = - [tex]\frac{12}{11}[/tex]
Answer:
f= -12/11
Step-by-step explanation:
-5f-8=6f+4
+5f +5f
-8=11f+4
-4 -4
-12=11f
÷11 ÷11
-12/11=f
Please help explanation if possible
Answers
Answer:
(1, - 2 )
Step-by-step explanation:
Given the equations
3x - 4y = 11 → (1)
y + 3x = 1 ( subtract 3x from both sides )
y = 1 - 3x → (2)
Substitute y = 1 - 3x into (1)
3x - 4(1 - 3x) = 11 ( distribute and simplify left side )
3x - 4 + 12x = 11
15x - 4 = 11 ( add 4 to both sides )
15x = 15 ( divide both sides by 15 )
x = 1
Substitute x = 1 into (2) for corresponding value of y
y = 1 - 3(1) = 1 - 3 = - 2
solution is (1, - 2 )
For problems 1 - 4, identify whether each figure is a point, line, or line segment. Then write its name.
Please help! Was due yesterday!
Answers
Answer:
1. Line segment 2. Point 3. Line 4. Line Segment
a sequence starts a 200 and 30 is subtracted each time 200,170,140 what are the first two numbers in the sequence that are kess then zero
Answers
===============================================================
Explanation:
a = 200 = first term
d = -30 = common difference
Tn = nth term
Tn = a + d(n-1)
Tn = 200 + (-30)(n-1)
Tn = 200 - 30n + 30
Tn = -30n + 230
Set Tn less than 0 and isolate n
Tn < 0
-30n + 230 < 0
230 < 30n
30n > 230
n > 230/30
n > 7.667 approximately
Rounding up to the nearest whole number gets us [tex]n \ge 8[/tex]
So Tn starts to turn negative when n = 8
We can see that,
Tn = -30n + 230
T7 = -30*7 + 230
T7 = 20
and
Tn = -30n + 230
T8 = -30*8 + 230
T8 = -10 is the 8th term
and lastly
Tn = -30n + 230
T9 = -30*9 + 230
T9 = -40 is the ninth term
Or once you determine that T7 = 20, you subtract 30 from it to get 20-30 = -10 which is the value of T8. Then T9 = -40 because -10-30 = -40.
Answer:
- 10
- 40
Step-by-step explanation:
By the 7th term you should be pretty close to 0. Let's show that.
a1 = 200
n = 7
d = - 30
t7 = a1 + (n - 1)*d
t7 = 200 + (7 -1)*-30
t7 = 200 + 6*-30
t7 = 200 - 180
t7 = 20
This is the last term that is positive. when you take 30 away from t7 you are going to be in negative territory.
t8 = 200 + (8-1) * - 30
t8 = 200 + 7 * - 30
t8 = 200 - 210
t8 = - 10
Now the 9th term
t9 = 200 + (9 - 1)*-30
t9 = 200 + 8 * - 30
t9 = 200 - 240
t9 = - 40
19. PLEASE HELP ME
Order the group of quadratic functions from widest to narrowest graph.
y=, y=, y=
A. y= -7x2, y= -1/3x2, y= -1/5x2
B. y= -1/5x2, y= -7x2, y= -1/3x2
C. y= -1/3x2, y= -1/5x2, y= -7x2
D. y= -1/5x2, y= -1/3x2, y= -7x2
Answers
Answer:
D. y= -1/5x2, y= -1/3x2, y= -7x2
Step-by-step explanation:
Please help me to solve this question as soon as possible. Thank you.
Answers
Answer:
Step-by-step explanation:
they will attend on april 12
2. Find a true inequality that involves the real number 5/4
Answers
Answer:
c
Step-by-step explanation:
5/4>6/5
multiply by 20
25>24
which is true.
Which correlation best describes the data below.
Answers
Answer:
Weak negative correlation
A charity is holding a benefit at an Italian restaurant. The owner of the restaurant offers to donate $200 in addition to $4 for each person that
attends. Write an equation where d is the total donation and p in the number of people that attend.
Answers
Answer:
200 divided 4
Step-by-step explanation:
PLS HELP ASAP WILL GIVE BRAINLIST
what is true about the complex number -5+5i, check all that apply
a. it lies in quadrant 2
b. it lies in quadrant 4
c. the modulus is 5√2
d. the modulus is 10
Answers
Answer:
Hello,
-5+5i=x+iy
Step-by-step explanation:
A is true (x=-5, y=5 )
B is false because of A
C is true ||-5+5i ||²=(-5)²+(5)²=2*5²
==> ||-5+5i ||=5√2
D is false because of C
HELP FAST 100 POINTS - please show how you got it thank you
Which theorem/postulate can be used to prove ∆PQR ≅ ∆STU?
What is the perimeter of ∆PQR?
Answers
side angle side (SAS) is the postulate because we can clearly see that two of the sides of the triangles are congruent (9 & 14), as well as the Q and T angle.
the perimeter is 43
6y+5=8y
y= 5/2
9+14+6(5/2)+5= 43
Answer:
Solution given:
In ∆ PQR and ∆ STQ
PQ=ST=9ft given
<Q=<T given
QR=TU = 14ft [given]
S.A.S axiom therom is used to prove
∆PQR ≅ ∆STU
Since ∆PQR ≅ ∆STU
their corresponding side is equal.so
6y+5=8y
5=8y-6y
2y=5
y=5/2
now
perimeter of ∆ PQR=sum of all sides
=9ft +14ft+ 6*5/2+5=43ft
3(x-5)=5x-(3-x) solve for x
Answers
Answer:
x = -4
Step-by-step explanation:
[tex]3(x-5)=5x-(3-x)\\\\3x-15=5x-3+x\\\\3x-15=6x-3\\\\-15=3x-3\\\\-12=3x\\\\-4=x[/tex]
Step-by-step explanation:
[tex]3(x - 5) = 5x - (3 - x) \\ 3x - 15 = 5x - 3 + x \\ 3x - 5x - x = - 3 + 15 \\ - 3x = 12 \\ x = \frac{12}{ - 3} \\ x = - 4[/tex]
I hope it helped U
stay safe stay happy
4. (01.03 MC)
Karissa purchased a set of LED lights online that normally sells for $65.00 but was marked down to $57.20. What is the discount rate Karissa received? (2 points)
A 12% B 22 C 67%
Answers
Answer:
12% discount
Step-by-step explanation:
Take the change in price
65 - 57.20 =7.80
And divide by the original price
7.80/65=.12
Change to percent form
12%
Hey please help for 100 points! Has to be accurate and explained well though for brainiest!
Question: Identify the property of equality(addition, subtraction, multiplication, or division) that could isolate this variable:
k - 4.5 = 9.8
Answers
Answer:
addition property of equality
Step-by-step explanation:
k - 4.5 = 9.8
Add 4.5 to each side using the addition property of equality
k-4.5 +4.5 = 9.8+4.5
k = 14.3
Answer:
Addition Property of Equality
Step-by-step explanation:
k - 4.5 = 9.8
~Add 4.5 to both sides
k = 14.3
Best of Luck!
