Answer:
x + 5
Step-by-step explanation:
This is actually rather simple to figure out. Simply divide 6x + 30 by 6. That should get x + 5 for the length of one side.
If the input is o, what is the output?
Answer:
1
i guess...
Step-by-step explanation:
Proving the Single Opposite Side Pair Theorem Given: AD=BC and AD BC prove:ABCD is a parallelogram
Answer:
8 parts
Step-by-step explanation:
1. AD≅BC Given
2. AD║BC Given
3. ∠DAC and ∠BCA Def. of alt.
are alt. interior angles interior angle
4. ∠DAC ≅ ∠BCA alternate interior angle theorem
5. AC ≅ AC reflexive property
6. ΔDAC ≅ ΔBCA SAS
7. AB ≅ CD CPCTC
8. ABCD is a parallelogram parallelogram side theorem
The proof of ABCD is a parallelogram is given in the solution.
What is a parallelogram?In geometry, a parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure.
The proof is as follows :-
AD≅BC (Given)
AD║BC (Given)
∠DAC and ∠BCA (alternate angles)
∠DAC ≅ ∠BCA (alternate angle)
AC ≅ AC (common)
ΔDAC ≅ ΔBCA (SAS rule)
AB ≅ CD (CPCT)
Hence,
ABCD is a parallelogram (by the definition of parallelogram)
Hence, proved.
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Identify the independent variable and dependent variable in the situation:
Wait time, w, and the number of people in line to get on a ride, p.
Independent variable
[Choose)
Dependent variable
[Choose ]
Find the length of RS.
A. 40 units
B. 8 units
C. About 6.3 units
D. About 2.8 units
Given:
The two points on the graph are R(-2,-4) and S(-8,-6).
To find:
The length of RS.
Solution:
Distance formula: The distance between two points is
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Using the distance formula, the distance between R(-2,-4) and S(-8,-6) is
[tex]d=\sqrt{(-8-(-2))^2+(-6-(-4))^2}[/tex]
[tex]d=\sqrt{(-8+2)^2+(-6+4)^2}[/tex]
[tex]d=\sqrt{(-6)^2+(-2)^2}[/tex]
[tex]d=\sqrt{36+4}[/tex]
On further simplification, we get
[tex]d=\sqrt{40}[/tex]
[tex]d=6.32455532[/tex]
[tex]d\approx 6.3[/tex]
Therefore, the length of AB is about 6.3 units. So, the correct option is C.
Can someone explain how to solve and find x on the triangle
Step-by-step explanation:
sum of all the angles in a triangle is equal to 180°
82 + 70 + (2x + 4) = 180
152 + 2x + 4 = 180
156 + 2x = 180
2x = 180 - 156
2x = 24
x = 12
Write and solve equations:
If asia is 10 years older than rani the sum of their age is 200
Let Asia's and Rani's age be "x"
Since Asia is 10 years bigger Asia will be "x+10"
Asia's Age + Rani's Age = 200
x + x + 10 = 200
2x + 10 = 200
2x = 200 - 10
2x = 190
x = 190
-----
2
x = 95
Asia = x + 10
95 + 10
105
Rani's age is 95 and Asia's Age is 105
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Please
Answer:
Your answer is 4
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Answer:
y=4x-5
Step-by-step explanation:
the slope intercept equation is y=mx+b
m=slope and b=y intercept
the slope is the change in y over the change in x and as y goes up 8 x goes over one 8/2=4 so the slope (m) is 4
The y intercept is at (0,-5) so b is -5
if we add it all together we get that the slope intercept equation is y=4x-5
6. Find the slope. Make sure to reduce.
Answer:
the slope is -1/7 hope this helps
Use properties of operations to determine whether 4r + 4t and 4(r+t) are equivalent. Explain your answer.
There is only one property used to determine whether
[tex]4r+4t=4(r+t)[/tex].
The property is called the distributive property and in a nutshell it states, [tex]a(b+c)=ab+ac[/tex], which means [tex]a[/tex] is distributed through [tex]b+c[/tex] using multiplication. So [tex]4(r+t)[/tex] says, distribute [tex]4[/tex] to [tex]r[/tex] and [tex]t[/tex] which then translates into [tex]4r+4t[/tex].
How do I solve it? Please help...............
9514 1404 393
Answer:
15.08 m
Step-by-step explanation:
You can take the appropriate fraction of the whole circumference, or you can use the arc-length formula. You get the same answer either way.
Angle XZW is 180° -108° = 72°
The circumference is C=πd, so the arc of interest is ...
XW = C(72°/360°) = πd/5 =π(24 m)/5 = 4.8π m
XW ≈ 15.08 m
_____
If you use π = 3.14, then your answer will be 15.07 m.
SOMEBODYY PLEASE PLAEASE PLEASE HELP
A bottle of shampoo costs $4 at a store. It is on sale for 25% off, and the sales tax in 5.5%. What is the sales price of the shampoo?
Answer:
1.22 dollars after sales tax
Someone please help!
Answer:
its B
Step-by-step explanation:
They are all direct variations
Thee are 6 classes of students going to the school picnic. Each class has 26 students Rosie’s mother is buying paper plates for the picnic paper plates are sold in packs of 8 what is the least number of packs that Rosie’s mother should buy so that each student has 1 paper plate
Answer:
20Step-by-step explanation:
Number of students:
26*6 = 156Number of packs of paper plates:
156/8 = 20 (rounded up)Answer:
20 packs
Step-by-step explanation:
Because if they are sold in packs of 8, 8 times 20 is actually 160, but if she only buys 19 packs, their will only be enough plates for 152 students.
Hope this helps you. Tell me if not or if it is.
Becky spent 2/3 of her piano practice time on her recital piece. If she spent 25 minutes on all the other pieces, how many hours did Becky spend on practicing in all?
PLEASE HELP ME
Answer: 1 1/4 hours
Step-by-step explanation: if 2/3 was her recital piece 25 is equal to 1/3. Multiply it by 3 to get 3/3 or 1. 25*3=75 minutes or 1 hour 15 mins. This can be written as 1 and a quarter hours, 1 hour 15 mins, or 5/4 an hour.
A password is made from 1 letter and 1 digit. No letters or digits can
be repeated.
How many possible passwords are there?
label optional
Y
Xf(x)
VX Xn
m (x) |XIS
skill code: 601001
❗️PLEASE HELP ME!!! ❗️
Bill makes 30 flags in 3
hours.
How many flags can he make in 1 hour?
Answer:
10 flags
Step-by-step explanation:
30/3=10
3 intervals of making 10 flags to get 30 flags
If you flip a coin and roll a 6-sided die, what is the probability that you will flip a heads and roll a 5?
Answer:
1/12
Step-by-step explanation:
What is the value of log3 81?
O 2
O 3
O 4
O 5
4 is the value of log₃ 81.
We have,
A mathematical equation links two statements and utilises the equals sign (=) to indicate equality. In algebra, an equation is a mathematical assertion that proves the equality of two mathematical expressions. For instance, in the equation 3x + 5 = 14, the equal sign separates the numbers by a gap. A mathematical formula may be used to determine how the two sentences on either side of a letter relate to one another. The logo and the particular piece of software are usually identical. like, for instance, 2x - 4 = 2.
The equation may be changed to read:
x = log base 3 of 81.
81 being equivalent to 3 to the power of 4, we get the following:
x Equals log base 3 of 34.
We may reduce this to: Applying the rule that log base an of ab = b
4 = x
By answering the above question, we may infer that We may reduce this equation to: Applying the rule that log base an of ab = b, 4 = x.
Hence, x = 4.
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2/3x + 1/4 = 46/6x - 1/3
Answer:
x = 1/12
Step-by-step explanation:
2/3x + 1/4 = (8x+3) /12 (create equivalent fractions with a denominator of 12)
23/3x - 1/3 = (23x - 1) /3 *(46/6x = 23/3x)
8x + 3 = 23x - 1
12 3
now cross-multiply:
3(8x + 3) = 12(23x - 1)
24x + 9 = 273x - 12
9 = 252x - 12
21 = 252x
x = 21/252 which reduces to 1/12
4x -2y = 16 solve for y=mx+b
Answer:
y=2x-8
Step-by-step explanation:
Subtract 4 x from both sides of the equation. − 2 y = 16 − 4 x Divide each term by − 2 and simplify. Tap for fewer steps... Divide each term in − 2 y = 16 − 4 x by − 2 . − 2 y − 2 = 16 − 2 + − 4 x − 2 Cancel the common factor of − 2 . Tap for fewer steps... Cancel the common factor. − 2 y − 2 = 16 − 2 + − 4 x − 2 Divide y by 1 . y = 16 − 2 + − 4 x − 2 Simplify 16 − 2 + − 4 x − 2 . Tap for fewer steps... Simplify each term. Tap for fewer steps... Divide 16 by − 2 . y = − 8 + − 4 x − 2 Cancel the common factor of − 4 and − 2 . Tap for fewer steps... Factor − 2 out of − 4 x . y = − 8 + − 2 ( 2 x ) − 2 Cancel the common factors. Tap for more steps... y = − 8 + 2 x Reorder − 8 and 2 x . y = 2 x − 8
Answer:
Y = 2x - 8
Step-by-step explanation:
-2y = -4x + 16
y = 2x - 8
Your welcome
Which of the following shows a translation of f(x) two units down?
A. f(x + 2)
B. f(x) + 2
C. f(x – 2)
D. f(x) – 2
Answer: D. f(x)-2
Step-by-step explanation:
Changes insides the parenthesis translate left and right. If it is [+] a number, then it is moving to the left. If it is [-] a number, then it is moving to the right.
Changes outside the parenthesis translate up and down. If it is [+] a number, then it is moving upward. If it is [-] a number, then it is moving downward.
----------------------------------------------------------------------------------------------------
Given
Translate f(x) 2 units downward
Solve
According to the rules, it should be -2 units outside of the parenthesis
Therefore, it should be f(x)-2
Hope this helps!! :)
Please let me know if you have any questions
Answer:
D. f(x) – 2
Step-by-step explanation:
what is y + 20 < 180? please help me
Answer:
y < 160
Step-by-step explanation:
y + 20 < 180
-20 < -20
y < 160
y is less than 160
so the answer is y < 160
happy to help!
Fifty 6th grade students chose to play outside for free time. This is 25% of the 6th grade class. How many total students are there in the 6th grade?
Answer:200
Step-by-step explanation:
While working on the roof of his house, John leans a 15 foot ladder against a second story window. If the distance on the ground between the base of the ladder and the house is nine feet, at what height does the ladder reach the second story window? In your final answer, include all necessary calculations.
Answer:
12 foot.
Step-by-step explanation:
Given that,
A ladder leans a 15 foot ladder against a second story window.
The distance on the ground between the base of the ladder and the house is 9 feet.
We need to find the height of the ladder. Let it is h.
If we consider a right angles triangle such that 15 foot is hypotenuse, 9 feet is base, then we need to find the perpendicular height of the triangle. Using Pythagoras theorem to find it.
So, the height of the ladder that reaches the second story window is 12 foot.
I need Help can someone please help me with this. Write an equation of a function with each domain: A. [2, [infinity]) B. (-[infinity], [infinity]) C. (2, [infinity])
Step-by-step explanation:
A.
[tex]f(x) = \sqrt{x - 2} [/tex]
B.
[tex]g(x) = 2x [/tex]
C.
[tex]h(x) = \frac{1}{x - 2 \: } \: \: \: \: h(x) = x where x is greater than zero
Is it Function or not function
Answer:
Not a function
Step-by-step explanation:
The graph does not pass the line test.
need help on this one please
Answer:
DFG
Step-by-step explanation:
It is a right triangle, and so is DEF. Thus they are similar.
Hal earns $5 a week doing chores for his parents. He also earns $10 a week for each dog, d, he walks.
Write an equation to find m, the total amount of money Hal earns in one week. Which variable in the equation is the dependent variable and which variable is the independent variable? Tell how you know.
Answer:
Step-by-step explanation:
m = 5 + 10d
The variable "d" is the independent variable because its value does not depend on another variable. The variable "m" is the dependent variable because its value depends on the value of the variable "d"
I will give brainlyest
Answer:
[tex]\frac{10}{11}[/tex]
Step-by-step explanation:
The formula for the trigonometric function sin is:
[tex]sin[/tex]Ф[tex]=\frac{opposite}{hypotenuse}[/tex]
The side opposite to the ∠g is x, which is equal to 10
[tex]opposite=x[/tex] [tex]x=10[/tex]
the hypotenuse of the triangle is z, which is equal to 11
[tex]hypotenuse=z[/tex] [tex]z=11[/tex]
so the ratio is:
[tex]\frac{10}{11}[/tex]
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If f(1) = 9 and f(n) = 4f(n − 1) then find the value of f(4).
Answer:
576
Step-by-step explanation:
f(2) = 4f(1) = 4*9 = 36
f(3) = 4f(2) = 4 * 36 = 144
f(3) = 4f(3) = 4 * 144 = 576