Answer:
Step-by-step explanation:
x+15 = 2x-40
Move x to the right side and you get 15 = x-40
Move -40 to the left side and you get x = 55
In order for the parallelogram to be a rhombus, x must equal 55.
What is a rhombus?A rhombus is a quadrilateral that has four equal sides.
Some of the properties we need to know are:
- The opposite sides are parallel to each other.
- The opposite angles are equal.
- The adjacent angles add up to 180 degrees.
We have,
If a parallelogram is a rhombus, it means that all four sides of the parallelogram have equal length.
We can set the expressions for the opposite sides of the parallelogram equal to each other and solve for x.
x + 15 = 2x - 40
First, we can simplify by adding 40 to both sides and getting:
x + 55 = 2x
Next, we can subtract x from both sides and get:
55 = x
Therefore,
In order for the parallelogram to be a rhombus, x must equal 55.
To verify this, we can substitute x = 55 back into the expressions for the sides:
x + 15 = 55 + 15 = 70
2x - 40 = 2(55) - 40 = 70
Both opposite sides have an equal length of 70, so the parallelogram is a rhombus.
Thus,
In order for the parallelogram to be a rhombus, x must equal 55.
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52 %of U.S. Adults have very little confidence in newspapers. You randomly select 10 U.S. Adults. Find the probability that the number of U.S. Adults who have very little confidence in newspapers is (a) exactly five, (b) at least six, and (c) less than four.
Answer:
a. P(x = 5) = 0.24
b. P(x ≥ 6) = 0.43
c. P(x < 4)= 0.14
Step-by-step explanation:
According to the Question,
Given, 52 %of U.S. Adults have very little confidence in newspapers & We have to randomly select 10 U.S. Adults.⇒We use Binomial Probability Formula
[tex]P(X = x ) = \frac{n!}{x!((n-x)! } * p^{x} * (1-p)^{n-x}[/tex]
Where, p=0.52 & n=10
a. The probability that the number of U.S. adults who have very little confidence in newspapers is exactly five . So, (x=5)
Thus, [tex]P(X = 5 ) = \frac{10!}{5!((10-5)! } * 0.52^{5} * (1-0.52)^{10-5}[/tex]
On Solving Above Equation we get,
P(5)=0.2441 ≈ 0.24
b. The probability that the number of U.S. adults who have very little confidence in newspapers is at least 6 . So, (x≥6)
Then,
P(x≥6) = P(6)+P(7)+P(8)+P(9)+P(10)
P(x≥6) = [tex]\frac{10!}{6!((10-6)! } * 0.52^{6} * (1-0.52)^{10-6}[/tex] + [tex]\frac{10!}{7!((10-7)! } * 0.52^{7} * (1-0.52)^{10-7}[/tex] +[tex]\frac{10!}{8!((10-8)! } * 0.52^{8} * (1-0.52)^{10-8}[/tex] + [tex]\frac{10!}{9!((10-9)! } * 0.52^{9} * (1-0.52)^{10-9}[/tex]+[tex]\frac{10!}{10!((10-10)! } * 0.52^{10} * (1-0.52)^{10-10}[/tex]
On solving above equation we get,
P(x≥6) = 0.4270 ≈ 0.43
c. The probability that the number of U.S. adults who have very little confidence in newspapers is less than 4 . So, (x<4)
Then,
P(x < 4)=P(3) + P(2)+P(1)+P(0)
P(x<4) = [tex]\frac{10!}{3!((10-3)! } * 0.52^{3} * (1-0.52)^{10-3}[/tex] + [tex]\frac{10!}{2!((10-2)! } * 0.52^{2} * (1-0.52)^{10-2}[/tex]+ [tex]\frac{10!}{1!((10-1)! } * 0.52^{1} * (1-0.52)^{10-1}[/tex] + [tex]\frac{10!}{0!((10-0)! } * 0.52^{0} * (1-0.52)^{10-0}[/tex]
On solving we get,
P(x < 4)= 0.1410 ≈ 0.14
need help with this asap!
Answer:
Step-by-step explanation:
1 ) 2 + 7t [ there are no like terms , so no further simplifying ]
2) 6r + ( - 16 r )
= 6 r - 16 r [ both are like terms ]
= - 10 r
3) (3x + 2 ) + ( 2x - 4 )
= 3x + 2 + 2x - 4
= 3x + 2x - 4 + 2 [ arranging like terms together ]
= 5x - 2
4) (8 n² - 3 n + 6 ) + ( n - 2 )
= 8n² - 3n + 6 + n - 2
= 8n² - 3n + n + 6 - 2 [ bringing like terms together ]
= 8n² - 2n + 4
Answer:
1.) 2 + 7 t
2.) - 10 r
3.) 5 x - 2
4.) 8 n² - 2 n + 4
Step-by-step explanation:
1.) 2 + 7 t
No like terms, so no further simplifying.
2.) 6 r + ( - 16 r )
6 r - 16 r. ... ( combine like terms)
- 10 r
3.) ( 3 x + 2 ) + ( 2 x - 4 )
= 3 x + 2 + 2 x - 4
combine like terms
= 3 x + 2 x - 4 + 2
= 5 x - 2
4.) ( 8 n ² - 3 n + 6 ) + ( n - 2 )
= 8 n² - 3 n + 6 + n - 2
combine like terms
= 8n² - 3 n + n + 6 - 2
= 8 n² - 2 n + 4.
if you horizontally shift the square root parent function f(x)=√x left two units what is the equation of the new function
Answer:
[tex] \sqrt{x + 2} [/tex]
If you horizontally shift the square root parent function f(x)=√x left two units the equation of the new function is: g(x) = √(x + 2).
What is horizontal shift?A horizontal shift is a function transformation that shifts a graph to the left or right without changing its shape.
If we want to shift the square root parent function f(x) = √x two units to the left, we must replace the argument x with (x + 2), because a positive value of x + 2 gives us the same x value two units to the left.
So the equation of the new function is:
g(x) = √(x + 2)
This new function is the square root function shifted two units to the left. For any given input value of x, we add 2 to it before taking the square root. This causes the graph to shift horizontally to the left by two units.
Thus, g(x) = √(x + 2) will be the new function.
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Which equation represents a line that passes through the two points in The table
Answer:
y = mx + by= mx+ b
Step-by-step explanation:
since we know the two points on the line. we use the two points formed to find its equation. the final equation.the slope intercept form ,y=mx+by = mx+b
The sum of $4500 is divided among Anesha, Sian and Joanne in the ratio 7: 11: 12
respectively.
Calculate
(i) The amount of money each person received
(ii) The percentage of the total that Joanne received.
I need help with number 35 please help
Answer:
B. shelves × 51
Reason:
sum of all books= 357
sum of shelves= 17
no of shelves × 21
or, 17 × 21= 357
which is the number of books.
hey I have a doubt isn't for this question the ans supposed to be 36 but the option is not there so could you plzz help me
Answer:
Its actually 31
Step-by-step explanation:
Try drawing it and counting the matches
structions: Drag and drop the correct name for each angle. Each angle has more than one name so be sure to identify all the correct names
Answer:
1) I, 4, HIJ
2) G, 1, HGF
3) J, 2, IJK
Step-by-step explanation:
someone annnnswer pls
Answer:
t = 16
Step-by-step explanation:
Hope this helped :]
Now,
10/5t - 75 = 12/6
10*6 = 12 (5t - 75)
60 = 60t - 900
60 + 900 = 60t
960 = 60t
t = 960/60
t = 16
I hope it's help you...
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Find two integers whose sum is 1 and product is -2
TWO INTERGES
Answer:
2 and -1
Step-by-step explanation:
sum = 2 + (-1)
= 1
product = 2 × ( -1)
= -2
f(x) = x2. What is g(x)?
5
[ f(x)
g(x)
(3,3)
X
-5
5
x2
O A. g(x)=1
-02-G
B.
X
O c. g(x) = 3²
O D. g(x)=-* x2
Please help :/
The function g(x) = x²/3
Given that graph of the function f(x) = x²,
Since, the graph of f(x) is transformed to form the g(x).
We see that g(x) is passing by (3, 3)
Here, the scale factor is 1/3,
So, we can say that the equation of the function g(x) is g(x) = x²/3
Therefore, the required function is g(x) = x²/3
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harleys house has a value of £160000 correct to 2 significant figures
write down the least possible value of the house
write down the greatest possible value of the house
Answer:
155,000
159,999
Step-by-step explanation:
In order to correct to 2 significant figures, look at the third figure, if the number is greater or equal to 5, add 1 to the ten thousand figure. If this is not the case, add zero. Replace all the figures before the thousand figure with zero. i.e. the hundred ten, unit
e.g. Rounding off 10,999 to the nearest thousand is 11,000
In this example, the least figure, the thousand figure should have to be rounded off to 2 significant figures is 5 and the greatest figure it can have is 9
Joel has an MP3 player called the Jumble. The Jumble randomly selects a song for the user to listen to. Joel's Jumble has 222 classical songs, 131313 rock songs, and 555 rap songs on it.
What is \text{P(rock song or rap song})P(rock song or rap song)start text, P, left parenthesis, r, o, c, k, space, s, o, n, g, space, o, r, space, r, a, p, space, s, o, n, g, end text, right parenthesis?
ANSWER
0.9
Step-by-step explanation:
no.of favourable outcome/no.of.possible outcome
13+5=18 favourable outcome and 20 possible outcome 18/20=0.9
Answer:0.9
Step-by-step explanation: khan academy
I NEED HELP ASAP PLESSEEE
What is the relation between the variables in the equation
Y/x^2= 10?
a. x varies directly with the square of y
b. y squared varies inversely with x
C. y varies directly with x squared
y varies inversely with x squared
d.
Answer:
I think C is the relation between the variables.
Help me please which expression is equal
The answer is C.
45^-3 can be transferred to the denominator, making the 45 in the denominator have a power to the 6th power.
if the circumfrence of a circl is 18π inches, what is the radius of the circle
Answer:
r≈2.86
Step-by-step explanation:
Using the formula
C=2πr
Solving forr
r=C
2π=18
2·π≈2.86479
Which of the following will result in a rational answer?
multiplying π by a fraction
adding the square root of a non perfect square to a whole number
adding the square root of a perfect square to π
multiplying a fraction by a repeating decimal.
Answer:
multiplying a fraction by a repeating decimal
Step-by-step explanation:
any fraction is rational
any repeating decimal is rational
therefore, product of the two would be rational
The standard unit of mass is the : A.gram B.kilogram C.pound D.cubic centimeter
Answer:
kilogram
Step-by-step explanation:
Find the area of this triangle in square centimeters .
Step-by-step explanation:
The answer is 24 I think.
using the formula for finding the area of a triangle, which is....
Area= b times height divided by 1/2 or 2
First step is to multiply 6 which is the base by the height 8 to get 48. Then 48 divided by 2 is 24.
Step-by-step explanation:
the area of the triangle can be find by using the heron's formula...
that is:
√s-a×s-b×s-c
So,
a=8cm,b=6cm,c=10cm
Semi perimeter= 8+6+10/2=24/2=12
√12(12-8)(12-6)(12-10)
=√12×4×6×2
=√ 2×2×3×2×2×2×3×2
= √2×2×2×3
= 12 cm...
Question 2 Multiple Choice Worth 5 points)
(02.04 LC)
Determine the equation of the line shown in the graph
Answer choices
X= 5
y = 0
x = 0
y = 5
Answer:
A
Step-by-step explanation:
The line is parallel to y axis, so the equation is x = 5
Help me please! I will give brainliest!
Answer:
i think its B if it's a multiple choice i wouldn't need to do a step by step explanation.
can you help me with this. Find the surface area
Answer:
2370 cm²
Step-by-step explanation:
2(32·15+15·15+15·32) = 2370
Write an equation of a line that passes through (3, -1) and is perpendicular to y = 6x - 4. Show work.
I NEED THIS FAST
Answer:
y = -1/6x - 1/2
Step-by-step explanation:
y = -1/6x + b
-1 = -1/6(3) + b
-1 = -1/2 + b
-1/2 = b
Find the measure of "theta". Round all answers to the nearest tenth.
Answer:
[tex]\displaystyle \theta \approx 36.4[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityTrigonometry
[Right Triangles Only] SOHCAHTOA[Right Triangles Only] tanθ = opposite over adjacentInverse TrigStep-by-step explanation:
Step 1: Define
Identify variables
Angle θ
Opposite Leg = 31
Adjacent Leg = 42
Step 2: Find Angle
Substitute in variables [tangent]: [tex]\displaystyle tan(\theta) = \frac{31}{42}[/tex]Inverse Trig: [tex]\displaystyle \theta = tan^{-1}(\frac{31}{42})[/tex]Evaluate: [tex]\displaystyle \theta = 36.4309[/tex]Round: [tex]\displaystyle \theta \approx 36.4[/tex]Find the sine ,cosine and tangent ratios of
Step-by-step explanation:
Given that,
Hypotenuse, H = 13
Base, b = 12
Perpendicular, P = 5
[tex]\sin\theta=\dfrac{P}{H}\\\\\sin\theta=\dfrac{5}{13}[/tex]
[tex]\cos\theta=\dfrac{B}{H}\\\\\sin\theta=\dfrac{12}{13}[/tex]
and
[tex]\tan\theta=\dfrac{P}{B}\\\\=\dfrac{5}{12}[/tex]
Hence, this is the required solution.
ForEASY BRAINLIEST!!!
Answer:
A.
B.
C.
Answer:
A. x-3
B. x-14
C. x-10
Step-by-step explanation:
Answer: THXS FOR MAKIN THIS SO FRIKIN EASY. I think I may done b or c wrong-
Step-by-step explanation:
a) x - 3
b) x - 14
c) x − 10
Emma received 2,147,389 votes in a national talent show.
The value of the digit 2 in her score is
Answer:
It is 2 million
Answer:
Million
Step-by-step explanation:
In △FGH, L is the centroid. If LK = 19, find GL
Answer:
GL = 38
Step-by-step explanation:
On each median the distance from the vertex to the centroid is twice as long as the distance from the centroid to the midpoint, that is
GL = 2 LK = 2 × 19 = 38
Answer:
the centroid has special featuresfor this
Step-by-step explanation:
the rate of long must be like this [GL]=2[LK]
we can say that our answer is 38 easily
The price of an item has been reduced by $1.84. The original price was $46.91. What is the price now?
Answer:
$45.07
Step-by-step explanation:
46.91-1.84= 45.07
4,-7 -1,5 what’s the midpoint
Answer:
(4, 5) Midpoint
Step-by-step explanation:
Need- What is a midpoint of the line segment?
Solution:
Midpoint: x,m , y,m = ([tex]\frac{x {a +x b } }{2}[/tex]) ,( [tex]\frac{y, a + y b}{2}[/tex])=( [tex]\frac{0 +8 }{2}[/tex] ) , ( [tex]\frac{2 + 8 }{2}[/tex]) = [tex]\frac{8}{2} , \frac{10}{2}[/tex] Midpoint segment - ([tex]x_{m} , y_{m}[/tex]) = (4,5)