Answer:
x=-7
Step-by-step explanation:
7x2-x=7
7x2=14.
14-x=7
When you finished the last step, you will subtract 14 to both sides.
14-x=7
14-14-x=7-14
this will cancel out the 14 on the left.
And will leave you with:
-x=7-14
7-14 is -7.
and this will get you to
-x=-7
To finish this off, you have to turn the negative x/variable, into a positive x/variable.
So, you will divide both sides of the equation by the same term.
-x = -7
into
[tex]\frac{-x}{1} =\frac{-7}{1}[/tex]
and it will be -7.
I hope this helps :)
What is the measure of angle 3?
If JG=JF,GD=13, and mCD=136, find each measure.
Answer:
[tex]ED = 26[/tex]
[tex]CF = 13[/tex]
[tex]m \overset{\huge\frown}{ED} = 136[/tex]
[tex]m \overset{\huge\frown}{HD} = 68[/tex]
[tex]m \overset{\huge\frown}{CE} =88[/tex]
Step-by-step explanation:
Given
[tex]JG = JF[/tex]
[tex]GD = 13[/tex]
[tex]m \overset{\huge\frown}{CD} = 136[/tex]
See attachment for circle
Solving (a): Length ED
Line JD divides ED into two equal parts, EG and DG.
So:
[tex]ED = EG + GD[/tex]
[tex]ED = GD + GD[/tex]
[tex]ED = 13 + 13[/tex]
[tex]ED = 26[/tex]
Solving (b): Length CF
CF is a reflection of EG.
So:
[tex]CF = EG[/tex]
[tex]EG = GD = 13[/tex]
So:
[tex]CF = 13[/tex]
Solving (c): [tex]m \overset{\huge\frown}{ED}[/tex]
Since ED = CD;
Then:
[tex]m \overset{\huge\frown}{ED} = m \overset{\huge\frown}{CD}[/tex]
So:
[tex]m \overset{\huge\frown}{ED} = 136[/tex]
Solving (d): [tex]m \overset{\huge\frown}{HD}[/tex]
Line HF divides CD to 2 equal parts
So:
[tex]m \overset{\huge\frown}{HD} = \frac{1}{2} * m \overset{\huge\frown}{CD}[/tex]
[tex]m \overset{\huge\frown}{HD} = \frac{1}{2} * 136[/tex]
[tex]m \overset{\huge\frown}{HD} = 68[/tex]
Solving (e): [tex]m \overset{\huge\frown}{CE}[/tex]
[tex]m \overset{\huge\frown}{CE}[/tex] is a minor arc while [tex]m \overset{\huge\frown}{ED} = 136[/tex] + [tex]m \overset{\huge\frown}{CD} = 136[/tex] are the major arcs.
So:
[tex]m \overset{\huge\frown}{CE} + m \overset{\huge\frown}{ED} + m \overset{\huge\frown}{CD}= 360[/tex]
[tex]m \overset{\huge\frown}{CE} + 136+136= 360[/tex]
Collect like terms
[tex]m \overset{\huge\frown}{CE} =- 136-136+ 360[/tex]
[tex]m \overset{\huge\frown}{CE} =88[/tex]
Following are the calculated value " [tex]ED=26, CF=13\ , m \widehat{ED}=136^{\circ}\ , m \widehat{HD}=68^{\circ}\ , m \widehat{CE}=88^{\circ}\\\\[/tex]", and its complete calculation can be defined as follows:
Given value:[tex]\bold{JG=JF,GD=13,} \\\\ m \widehat{CD}=136^{\circ}\\\\[/tex]
When
[tex]m \widehat{CD}= m \widehat{ED}\\\\m \widehat{ED} = 136^{\circ}[/tex]
[tex]HJ \perp CD \\\\IJ \perp ED\\\\[/tex]
SO,
[tex]CF = FD \\\\EG=ED \\\\[/tex]
[tex]m \widehat{HD} = m \widehat{CH} = \frac{1}{2} m \widehat{CD}\\\\[/tex]
[tex]CF=13\\\\ ED = 13 \times 2 =26 \\\\ m \widehat{HD} = \frac{1}{2}\ m \widehat{CD} = 136^{\circ} \div 2 = 68^{\circ}\\\\m \widehat{CE} = 360^{\circ} -136^{\circ} - 136^{\circ} = 88^{\circ}\\\\[/tex]
Using the Vertical theorem and Theorem of the length of tangent to calculate the value:
[tex]ED=26\\\\CF=13\\\\m \widehat{ED}=136^{\circ}\\\\m \widehat{HD}=68^{\circ}\\\\m \widehat{CE}=88^{\circ}\\\\[/tex]
Note:
The given question is incomplete that's why we defined the question in the attached file and then solve it.
Find out more information about the arc of the circle here:
brainly.com/question/1577784
Give me 3 reasons why the penguins are the best animal will give brain-list
Answer:
Step-by-step explanation:
#1 - they look cool
#2 - they can swim
#3 - they eat fish
i need the answerrrrr
Answer:
the distance between the points is 9.84885780 and so on so if you round to the nearest tenth it would be 9.8 :)
Step-by-step explanation:
I do not understand this may I get help?
Answer:
b
Step-by-step explanation:
the y axis is the axis going up and down, so the reflection would be on the other side of the axis.
plzzz help smart people, its math will mark branilyest (DONT ANSWER IF YOU DONT KNOW THIS TYPE OF MATH PLZZ SHOW WORK)
Answer:
6) 15
7)5
8)120 degrees
9)60 degrees
10)9
Step-by-step explanation:
GHIJ is a parallelogram.
Opposite sides of a parallelogram are congruent.
3y - 1 = 2y + 1
3y - 2y = 1 + 1
y = 2
Opposite sides of a parallelogram are congruent.
4x + 3 = x + 12
4x - x = 12 - 3
3x = 9
x = 9/3
x = 3
6)GH = ?
GH = 4x + 3
GH = 4(3) + 3
= 12 + 3
= 15
therefore, GH = 15
7) HI = ?
HI = 2y + 1
= 2(2) + 1
= 4 +1
= 5
therefore, HI = 5
Opposite angles of a parallelogram are equal.
8) m(angle I) = 120 degrees...... (given)
therefore, measure of angle G = measure of angle I
therefore, m(angle G) = 120 degrees
Consecutive angles of a parallelogram are supplementary.
9) m(angle I) + m(angle J) = 180 degrees
120 + m (angle J) = 180
m(angle J) = 180 - 120
= 60 degrees.
The diagonals of a parallelogram bisect each other.
10) JK = 9 .........( given)
JK = HK
therefore, HK = 9
Simplify Complex fraction
1/4 +x
___________= what
1/2
Hey there! I'll only explain you how to solve it and you'll have to find the answer yourself so you learn! <3 Anyhow, To simplify a complex fraction here are the steps.
(1) Convert mixed numbers to improper fractions.
(2) Reduce all fractions when possible.
(3) Find the least common denominator (LCD) of all fractions appearing within the complex fraction.
(4) Multiply both the numerator and the denominator of the complex fraction by the LCD.
(5) When possible reduce, simplify and convert to mixed numbers, any final fraction results.
Hope this helps! <3
Identify the lateral area and surface area of a right cone with radius 7 cm and slant height 15 cm. Answer ASAP!
Answer:
Lateral area:
A(l) = πrl = 3.14*7*15 = 329.7 cm³Surface area:
A = πr(r + l) = 3.24*7(7 + 15) = 498.96 cm³Answer: 498.96 cm³
Lateral area:
A(l) = πrl = 3.14*7*15 = 329.7 cm³
Surface area:
A = πr(r + l) = 3.24*7(7 + 15) = 498.96 cm³
Mia had $32. Then she started to receive $5 a week as an allowance. She plans to save all of her money for a bicycle and draws a graph of her planned savings. Mia lets x represent the number of weeks she has received her allowance, and y represent her total amount of money. Which of the following ordered pairs is on Mia's graph?
A. (2,64)
B. (1 ,32)
C. (4 , 52)
D.(6 , 30 )
Answer:
4,52
Step-by-step explanation:
32+5x=y
pls let me know is it was right
if it was pls give brainlest
Susan walked a total of 8 kilometers by making 4 trips to school. How many trips will Susan have to make in all to walk a total of 10 kilometers? Assume the relationship is directly proportional.
Answer:
6 trips in total..,.............
Answer:
5
Step-by-step explanation:
Find the value of x. Round the length to the nearest tenth. The diagram is not drawn to scale.
Answer:
x ≈ 2879.4 m
Step-by-step explanation:
Measure of ∠DAC = 10°
Measure of ∠DAB = 90°
Measure of ∠BAC = 90° - 10° = 80°
By applying cosine rule in ΔABC,
cos(80°) = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]
= [tex]\frac{AB}{AC}[/tex]
0.17365 = [tex]\frac{500}{x}[/tex]
x = [tex]\frac{500}{0.17365}[/tex]
x = 2879.36
x ≈ 2879.4 m
Given two solutions x=-5 and x=7 of a quadratic function, is the value of a =1 or can the value of a different value?
Find the area. Simplify your answer.
x+7 x+2
Answer:
8x+2
Step-by-step explanation:
I think that's right I hope it is
The area of the quadrilateral is (x² + 9x + 14).
Given is a quadrilateral with height equal to (x+7) and the base is (x+2), we need to find the area of the quadrilateral,
So, to find the area of a quadrilateral, we need to know the lengths of both the height and the base.
In this case, the height is given as (x+7) and the base is given as (x+2).
The formula to find the area of a quadrilateral is:
Area = (base × height)
Let's substitute the given values into the formula and solve for the area:
Area = [(x+2) × (x+7)]
To simplify the expression, let's expand the brackets:
Area = (x² + 7x + 2x + 14)
= (x² + 9x + 14)
So, the area of the quadrilateral is (x² + 9x + 14).
Learn more about Areas click;
https://brainly.com/question/30307509
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2x + Y=8
Me podrían ayudar a resolverla por favor
Which expression has a value less than 5 ?
O A. 5 +8
O B. –9 + 5
O C. 1+(-8)
O D. 7+ (-2)
Answer:
es la a. 5+8 es esa amigo la respuesta
What is the length of the missing leg?
HELP PLEASE
Determine the maximum number of zeros of the polynamial function -8x^4 -x^2+2 please select the best answer choice provided
It’s 1 or 2 or 4 or 3
What will be the first negative term in the sequence 87,84,81
Answer:
a₃₁
Step-by-step explanation:
The terms have a common difference between consecutive terms, that is
d = 84 - 87 = 81 - 84 = - 3
This indicates the sequence is arithmetic with nth term
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 87 and d = - 3 , then
[tex]a_{n}[/tex] = 87 - 3(n - 1) = 87 - 3n + 3 = 90 - 3n
To find when [tex]a_{n}[/tex] < 0 , solve
90 - 3n < 0 ( subtract 90 from both sides )
- 3n < - 90
Divide both sides by - 3, reversing the symbol as a result of dividing by a negative quantity, then
n > 30
Thus the 31st term will be the first negative term
An answer with a reasonable response will get brainiest. It is in the picture
Answer:
M = 12.5
Step-by-step explanation:
Simple,
2 times 12.5 is 25
4 times 12.5 is 50
6 times 12.5 is 75
8 times 12.5 is 100
The "m" is just a variable. Kinda like a question mark.
Can you please answer without sending links because I can’t open them, thanks!
Answer:
B. C. E.
Explanation:
In answer B, 4b means four of that variable, so you would add them all together, same goes with answer C. In answer E, you would use the "multiply by the reciprocal" rule, which basically means to keep the b as it is, change division to multiplication, and flip [tex]\frac{1}{4}[/tex].
Abcd is rotated counterclockwise about the origin.By how many degrees was abcd rotated?
Answer:
The rotation is 270 degrees counterclockwise
Step-by-step explanation:
Given
See attachment
Required
Degrees of rotation
From the question, the rotation is counterclockwise
Using point B and B' as points of reference.
[tex]B =(2,5)[/tex]
[tex]B' =(5,-2)[/tex]
The rule that supports the above is: rotation by 270 degrees counterclockwise.
Because the rule is:
[tex](x,y) ==>(y,-x)[/tex]
I'll give you brainliest or something just help.
Answer:
C=25 (vertically opposite angle)
b=150 (linear pair)
d=150(vertically opposite angle)
Step-by-step explanation:
pls mark BRAINLIEST
HELP I HAVE THIS ASSIGHMENT DUE IN 30 MINUTES
Answer:
C
Step-by-step explanation:
p-2>6
add 2 both sides
p >8
p can only be greater than 8, and not equal to it, so the circle is open
Jackie has a poster that is 8 inches wide by 11 long inches. She wants to enlarge it so that the length is 33 inches. What should the width be?
Answer:
it is 24inches
Step-by-step explanation:
33/11=3
3x8=24
A car is 120 inches long. A truck is 75% longer than the car. How long is the truck?
Answer:
I think the truck would be 210 inches long
MNOP is a trapezoid with median QR. Find x.
Answer:
D. x = 7
Step-by-step explanation:
Midsegment of a trapezium = ½(sum of the lengths of the parallel bases) => Trapezoid midsegment theorem
Thus:
QR = ½(NO + MP)
QR = 14
NO = 8
MP = 2x + 6
Plug in the values into the equation
14 = ½(8 + 2x + 6)
14 × 2 = ½(8 + 2x + 6)×2
28 = 8 + 2x + 6
28 = 14 + 2x
28 - 14 = 14 + 2x - 14
14 = 2x
14/2 = 2x/2
7 = x
x = 7
Can someone please help me with these two questions?
Answer:
1) Part A
The function that models the situation is P = 8,300·(1 - 0.12)ⁿ
Part B
2626 people
Part C
1575 people
2) Part A
The function that models the situation is A = 342.000·(1 - 0.06)ⁿ
Part B
The value of the hose in 2025 is approximately $208,472.6
Part C
The value of the hose in 2032 is approximately $135,189.8
Step-by-step explanation:
1) Part A
The given parameters are;
Martianville population in 2012, P₀ = 8,300 people
The percentage annual decrease in the population, r = -12% = -0.12
The formula for the growth of a population is presented as follows;
P = P₀·(1 + r)ⁿ
Where;
P = The population amount at a later time
P₀ = The initial amount of the population
r = The rate of the population growth
n = The number of years
Therefore;
The function that models the situation is P = 8,300·(1 - 0.12)ⁿ
Part B
The population that will attend Martianville in 9 years is given as follows;
P₉ = 8,300 × (1 + (-0.12))⁹ = 8,300 × (1 - 0.12)⁹ ≈ 2626.77
Therefore, by rounding down to the next whole person, the population that will attend Martianville in 9 years, P₉ = 2626 people
Part C
The population that will attend Martianville in 13 years is given as follows;
P₁₃ = 8,300 × (1 - 0.12)¹³ ≈ 1575 people
2) Part A
The price at which the house was bought, A₀ = $342,000
The rate of decrease of the value of the house = 6% therefore, r = -0.06
The function that models the situation is presented as follows;
A = A₀·(1 + r)ⁿ
Therefore;
The function that models the situation is A = 342.000·(1 - 0.06)ⁿ
Part B
The number of years between 2025 and 2017 = 2025 - 2017 = 8 years
The value of the hose in 2025, A₂₀₂₅ = 342.000·(1 - 0.06)⁸ = 208,472.576981
The value of the hose in 2025, A₂₀₂₅ ≈ $208,472.6
Part C
The number of years between 2032 and 2017 = 2032 - 2017 = 15 years
The value of the hose in 2032, A₂₀₃₂ = 342.000·(1 - 0.06)¹⁵ = 135,189.795176
The value of the hose in 2025, A₂₀₃₂ ≈ $135,189.8
Write the slope intercept equation for the following table
Step-by-step explanation:
m = y2-y1/X2-X1
slope intercept equation is: y=Mx+b
The slope is based on the formula m and from there pick any points then do the forumla m to find the slope. Anything that have 0 as the X is b which is the y intercept.
Your answer would be
Slope: 2
y-intercept: 7
Answer: y=2x+7
Find the value of x?
Answer:
Step-by-step explanation:
6) Number of sides = n = 7
Sum of all the sides of the mentioned polygon = (n - 2)*180 = (7-2)*180 = 5 *180
= 900
x + 125 + 119 + 117 +145+133 +140 = 900
x + 779 = 900
x = 900 - 779
x = 121
7) Number of sides = n = 5
Sum of all the sides of the mentioned polygon = (n - 2)*180
= 3 *180 = 540
90 + 9x - 6 + 3x +23 + 95 + 7x- 4 = 540
90 - 6 + 23 + 95 - 4 + 9x + 3x + 7x = 540
198 + 19x = 540
19x = 540 - 198
19x = 342
x = 342/19
x = 18
8) Number of sides = n = 8
Sum of all the sides of the mentioned polygon = (n - 2)*180
= 6*180
= 1080
This is a regular polygon (All sides are equal). so all the angles are equal.
One angle = 1080 ÷ 8 = 135
16x +23 = 135
16x = 135 - 23
16x = 112
x = 112/16
x = 7
What is 23x9+37-213+(5x12)
Answer: 91
is that a x or multiply?