Answer:
more ... The letter "x" is often used in algebra to mean a value that is not yet known. It is called a "variable" or sometimes an "unknown". In x + 2 = 7, x is a variable, but we can work out its value if we try! A variable doesn't have to be "x", it could be "y", "w" or any letter, name or symbol.
Answer:
[tex]x = 12[/tex]
Step-by-step explanation:
For resolve this problem I use trigonometry identities.
[tex]sin(\theta) = \frac{OP}{H}[/tex]
Where [tex]\theta[/tex] is the angle of the triangle (45), [tex]OP[/tex] is the opposite side of the angle ([tex]6\sqrt{2}[/tex]) and the [tex]H[/tex] is the hypotenuse ([tex]x[/tex]).
Replace the know values in the relation
[tex]sin(45) = \frac{6\sqrt{2}}{x}[/tex]
Isolate [tex]x[/tex] of the equation and solve
[tex]\frac{6\sqrt{2}}{sin(45)} = x\\\frac{6\sqrt{2}}{\frac{\sqrt{2}}{2}} = x\\\frac{12\sqrt{2}}{\sqrt{2} } = x\\12 = x[/tex]
So the final answer is [tex]x = 12[/tex]
harry is x years old now. three years ago, jenny was twice harry's age. in three years time, ahmed will be five times as old as jenny. write an expression for ahmed's age now
Harry is x years old now.
Harry was x-3 years old three years ago.
Three years ago, Jenny was 2(x-3)=2x-6 years old.
Now, Jenny is 2x-6+3 years old.
In three years time, Jenny will be 2x-6+3+3=2x years old.
In three years time, Ahmed will be 5(2x)= 10x years old.
Hope this helped you-have a good day bro cya)
Given: y || z
Prove: mZ5+ m2 2 + m26 = 180°
Angles Lines Statements Reasons
21
23
25
26
m21
m23
m25
m26
L
A
M
1
2
3
y
Statements
Reasons
4
5
6
7
z
Assemble the proof by dragging tiles to
the Statements and Reasons columns
Intro
D
Using the above statements and reasons can be used to prove the triangle sum theorem, which is: ∠5 + ∠2 + ∠6 = 180°
What is the Triangle Sum Theorem?The triangle sum theorem states that, when we add the all three interior angles of a triangle together, it will give us a sum of 180°.
Given that y || z:
∠1 ≅ ∠5 and ∠3 ≅ ∠6 based on the interior angles theorem. This implies that:
∠1 = ∠5 and ∠3 = ∠6 (Eqn. 1)
m∠LAM = 180° (def. of straight line angle)
Thus, using the angles addition theorem, we have:
∠1 + ∠2 + ∠3 = m∠LAM
∠1 + ∠2 + ∠3 = 180° (eqn. 2).
Using eqn. 1 and eqn. 2, substitute ∠1 = ∠5 and ∠3 = ∠6 into eqn. 2.
∠5 + ∠2 + ∠6 = 180° (substitution).
Therefore, using the above statements and reasons can be used to prove the triangle sum theorem, which is: ∠5 + ∠2 + ∠6 = 180°
Learn more about triangle sum theorem on:
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The proof for the triangle sum theorem, which is: ∠5 + ∠2 + ∠6 = 180°
What is Angle Sum Property?According to the triangle sum theorem, if we total up a triangle's three internal angles, we receive a value of 180°.
We have, y || z.
So, ∠1 ≅ ∠5 and ∠3 ≅ ∠6 (Alternate Interior Angle)
Using Linear Pair
∠1 + ∠2 + ∠3 = m ∠LAM
∠1 + ∠2 + ∠3 = 180°
Now, substitute ∠1 = ∠5 and ∠3 = ∠6 in above equation
∠5 + ∠2 + ∠6 = 180° .
Thus, using the above statements can be used to prove the triangle sum theorem, which is: ∠5 + ∠2 + ∠6 = 180°
Learn more about Angle Sum Property here:
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Find the value of x 47 and 22
Answer:
111
Step-by-step explanation:
U calculate the 47°&22°and u cut 69° then u put 180-69=111°
100 POINTS ANSWER QUICK
A sphere has a diameter of 9 inches.
What is the volume of the sphere rounded to the nearest tenth?
Use 3.14 for pi.
95.4 in³
381.5 in³
763.0 in²
3052.1 in³
Now
Volume=
4/3πr³4/3π(4.5)³121.5π381.5in³Option B
A stadium has 10,500 seat and 8 vip boxess The is divied into 12 equalbsections 2 premuin sections and 10 standred sestion A seat at the premiun sections coast $45 per game.A seat at the standrad sections coast $27 peer game.How many seatsb are there in each section
Answer:
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Step-by-step explanation:
Find the value of f(-3)f(−3).
(4x+2)(x-3)
Expand and simplify
[tex]\\ \sf\longmapsto (4x+2)(x-3)[/tex]
[tex]\\ \sf\longmapsto 4x(x-3)+2(x-3)[/tex]
[tex]\\ \sf\longmapsto 4x^2-12x+2x-6[/tex]
[tex]\\ \sf\longmapsto 4x^2-10x-6[/tex]
Answer:
Step-by-step explanation:
(4x + 2)(x - 3) =4x *(x -3) + 2*(x -3)
= 4x*x - 3*4x + x*2 - 3*2
= 4x² - 12x + 2x - 6 {Combine like terms}
= 4x² - 10x - 6
8x+6y=18
Put the following equation of a line into slope-intercept form, simplifying all fractions.
Answer:
[tex]y = - \frac{4}{3} x + 3[/tex]
Step-by-step explanation:
slope-intercept form
y= mx +c, where m is the slope and c is the y-intercept.
8x +6y= 18
Move everything that is not a y term to the right side of the equation:
6y= -8x +18
Divide both sides by 6 so that the coefficient of y is 1:
[tex]y = - \frac{8}{6} x + \frac{18}{6} [/tex]
[tex]y = - \frac{4}{3} x + 3[/tex]
Maria and Ming start at the same point and drive in opposite directions. Maria drives 60 mph and Ming drives 48 mph. How far apart will they be in 3 hours?
Answer:
36
Step-by-step explanation:
60x3 = 180
48x3=144
subtract those 2wo numbers ( 180 and 144 ) and you'll get 36
A train goes at a constant speed. It can travel 150 miles in 2 1/2. How long will it take that train to travel 100 miles
Answer:
1 2/3 hours
Step-by-step explanation:
At constant speed, the time is proportional to the distance.
time/distance = 2.5 h/150 mi = x /100
x = 100(2.5/150) h = 5/3 h = 1 2/3 h
It will take the train 1 2/3 hours to travel 100 miles.
I think of a number. I add 7, divide by 6, add 1 then square it. I get 9. What was my number?
Answer:
answer is the number 5
Step-by-step explanation:
First you square root 9 which is 3. Then u 3-1= 2. then u times 2 by 6 which equals = 12. Then minus 7 from this number. 12-7=5 ur number is 5.
can someone please help me please
Answer:
Letter b
Step-by-step explanation:
because it is
2. Using 50 for the number of weeks in a year is a(n) exponent
hundredths
overestimate
partial products
power
round
tenths
thousandths
underestimate
which one?
There are 52 weeks in a year.
Using 50 for the number of weeks in a year is a(n) round.
Rounding is a process which we approximate the known number by just scaling it up or down.
In rounding the numbers less than 5 are scaled to one number less than the given integer and numbers such as 5 or above than 5 are scaled a number greater than the given number .
For example if there were 55 or more than weeks in a year we can say there are approximately 60 weeks in a year.
But there are 52 weeks so we round it to 50 weeks as 2 is less than 5.
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Please help and no links :)
Answer:
sorry I don't know the answer
Diagonals of rhombus pqra intersects at o. find (m<opq + m<oqp).
Answer:
→ [tex]90°[/tex]
Step-by-step explanation:
Given that
PQRS is a rhombus
The diagonals PR and QS intersects at O
We know that
In a rhombus the diagonals bisects at each other at 90°
So,
In ∆ POQ,
∠ POQ + ∠OPQ + ∠OQP = 180°
➜ 90° + ∠OPQ + ∠OQP = 180°
➜ ∠OPQ + ∠OQP = 180° -90°
➜ ∠OPQ + ∠OQP = 90°
Therefore, the measure of ∠OPQ + ∠OQP is 90°.
Read more:
Similar Questions
In a rhombus ABCD, m∠A = 31°. Point O is a point of intersection of diagonals. Find the measures of the angles of triangle ΔBOC.
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It costs $12 to enter the fair and $0.50 per ticket for rides. How much total would you spend if you paid admission and bought 70 tickets? plz hurry will mark brainlest
The initial cost is $12 to enter.
Each ticket is $.50
we want to find out how much it costs for 70 tickets so we multiply the cost by the amount;
70 x .50 = 35
Therefor including the entry fee, it would cost $35 + $12
Which is $47
I hope this helps! :)
find two positive numbers A and B with A less than or equal to B whose sum is 52 and whose product is mazimized
Answer:
26 and 26
Step-by-step explanation:
Let's call the two numbers x and 52-x.
Their product is [tex]p(x) = x(52-x)=52x-x^2[/tex]. Now, if you know calculus, you take it's derivative, see where it goes to 0, and determine what kind of critical point is that. Or - especially if you don't know what a derivative is - you stare at it long enough, and realize that that's the equation of a parabola. pointing downward. It means it has a maximum at its vertex, and the vertex has its first coordinate in the point [tex]x_v= -\frac{b}{2a} = -\frac{52}{2)(-1)} = 26[/tex] The two numbers are, then 26 and 52-26=26.
Morgan is working two summer jobs, making $19 per hour lifeguarding and making $6 per hour walking dogs. In a given week, she can work a maximum of 11 total hours and must earn no less than $120. If xx represents the number of hours lifeguarding and yy represents the number of hours walking dogs, write and solve a system of inequalities graphically and determine one possible solution. (Delta Math)
Answer:
(hope this helps can I pls have brainlist (crown))
Step-by-step explanation:
Morgan could work 6 hours lifeguarding and 3 hours walking dogs.
the total number of hours worked in both jobs,
x+y
x+y, must be less than or equal to 11
solve inequalities for y
x+y≤11
y≤11−x
Morgan makes $19 per hour lifeguarding, so in x hours she will make
19x dollars. Morgan makes $6 per hour walking dogs, so in
y hours she will make 6y dollars. The total amount earned 19x+6y
19x+6y must be greater than or equal to
$120
solve inequalities for y
19x+6y≥120
6y≥120−19x
y≥20-19/6x
help........................................................
Answer:
64 by 16 feet
What are the 3 primary ways to migrate client data to QuickBooks Online
Answer:
Use the Import Data tool. Use the Export Data tool. Enter data manually into the QuickBooks Online forms and check registers. Use the Attachments tool
I WILL GIVE 30 POINTS TO THOSE WHO FILL IN THE BLANK CORRECTLY NOOOO SCAMS
Answer:
8
Step-by-step explanation:
Ik it is cus ik my number lines
PLS MARK ME BRAINLIEST
Answer:
I think it's 8 I'm not sure
Be quiet! The teacher (be) angry
what is this how so i do this
What is the slope of this line?
•5
•1/5
•-5
•-1/5
quick please
Answer this question
y is 5% more than 110:
y = 110 x 1.05 = 115.50
x = 5% less than y:
x = 0.95(115.50)
x = 109.725
Which is a component of cell theory
○ Cells come from bacteria.
○ Cells come from cells.
○ Cells come from nonliving matter.
○ Cells come from non-cells.
Solve for Z:
4 > 5Z + 34
help me
Answer:
Isolate the variable by dividing each side by factors that don't contain the variable.
Inequality Form:
Z < − 6
Interval Notation:
( − ∞ , − 6 )
Step-by-step explanation:
What is the measure of angle n°?
Enrollment in mathematics courses
increased from 1440 students last
semester to 1925 students this semester.
Find the percent increase, to the nearest
whole percent
Answer:
25%
Step-by-step explanation:
1925 - 1440 = 485
X/100 = 485/1925 (what percent is 485 of 1925) (%/100=is/of)
(485 x 100) / 1925 (cross multiply)
48500/1925 = 25%
Plz help i don’t understand the question
Answer:
the reciprocal of 1 6/7 is 7/15, so 7/15 and 7/13 have a difference of two in their denominators.
Step-by-step explanation:
hope I helped you! :D
If Elena’s ice cream cost $1.50 more than Jada’s ice cream, how much more did Elena’s toppings weigh?
Answer: 3
Step-by-step explanation: toppings are 50 cents so 50 * 3 = $1.50