Answer:
x = 15
∠AOB = 15°
∠BOC = 165°
Step-by-step explanation:
Angles on a straight line add up to 180°
[tex]\sf \implies \angle AOB + \angle BOC=180[/tex]
Substitute the given expressions for the angles:
[tex]\sf \implies (2x - 15) + 11x = 180[/tex]
Collect and combine like terms:
[tex]\sf \implies 2x +11x- 15=180[/tex]
[tex]\sf \implies 13x- 15=180[/tex]
Add 15 to both sides:
[tex]\sf \implies 13x- 15+15=180+15[/tex]
[tex]\sf \implies 13x=195[/tex]
Divide both sides by 13:
[tex]\sf \implies \dfrac{13x}{13}=\dfrac{195}{13}[/tex]
[tex]\sf \implies x=15[/tex]
Now substitute the found value of x into the expressions for each angle:
[tex]\sf \implies \angle AOB =2(15)-15=15^{\circ}[/tex]
[tex]\sf \implies \angle BOC =11(15)=165^{\circ}[/tex]
What is the solution to the following
equation?
7x - 20 = -41
-
a). X=-3
b). X=3
Answer:
A). X = -3
Step-by-step explanation:
Step 1: Add 20 to both sides.
[tex]7x-20+20=-41+20[/tex] [tex]7x=-21[/tex]Step 2: Divide both sides by 7.
[tex]7x/7 = -21/7\\[/tex] [tex]x=-3[/tex]Step 3: Check if solution is correct.
[tex]7(-3)-20=-41[/tex] [tex]-21-20=-41[/tex] [tex]-41=-41[/tex]Find the three arithmetic means in this sequence.
2, __, __, __, -18
Answer:
-16 -14 -12
Step-by-step explanation:
This is the answer because if you subtract -18 from 2, you would get -16 and so on and so on.
3. What is the best description of an isosceles triangle?
a triangle with a right angle
a triangle with all equal sides
a triangle with no equal sides
a triangle with two equal sides
Answer:
a triangle with two equal sides
Step-by-step explanation:
Help please thank you!
Answer:
Here is the answer...hope it helps
a little help!!!!!!!!!!!!!!!
Answer:
See below ~
Step-by-step explanation:
2. a. Combination (as there is no particular order in which they are selected)
3. b. 5 (As there are 5 letters present)
4. Ways in which the word can be arranged :
13! / (2! x 2! x 2! x 2!)13 x 12 x 11 x 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 / 1613 x 12 x 11 x 10 x 9 x 7 x 6 x 5 x 4 x 3 a. 389,188,8005. No. of ways :
17 x 16 x 1517 x 240c. 40806. P (Honda) :
No. of Hondas / Total Cars36/67b. (.5373)The quotient of (x4 – 3x2 4x – 3) and (x2 x – 3) is a polynomial. what is the quotient?
The quotient of (x⁴ - 3x² + 4x - 3) and (x² + x - 3) is x² - x + 1
How to determine the quotient?The quotient expression is given as:
(x⁴ - 3x² + 4x - 3) ÷ (x² + x - 3)
Factor the dividend of the quotient expression
(x² + x - 3)(x² - x + 1) ÷ (x² + x - 3)
Cancel out the common factors
x² - x + 1
The above means that:
The quotient of (x⁴ - 3x² + 4x - 3) and (x² + x - 3) is x² - x + 1
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I don't have a question but x + 8900 = 390
Answer:
you did it wrong you have to subtract X from 8900.
First you want to subtract 390 from 8900 and that equals
8510contsruction workers resurface parts of the N1 highway . they completed 2km per day how many kilometers are completed in total after the first three years
Answer:
2 190km
Step-by-step explanation:
365×3= 1 095
1 095×2km= 2 190km
What is another name for 13?
a. (15+3)+7
b.
(4 x 3) + 3
c.
3+ (5 x 2)
d.
3 x 3 +5
Use the information in the diagram to find the length of segment AD. Round your answer to the nearest hundredth.
Two triangles, A B C and C B D, with segment C D connecting vertex C with a point D on side A C. Angle C D B is a right angle. Segment C B is 23.2, segment B D is 14.6 and segment C A is 28.6.
Group of answer choices
36.83
22.20
18.03
7.20
Based on the lengths of the given triangles and the length of segment BD, the length of segment AD is 22.20.
What is the length of segment AD?The triangle ABC is a right angled triangle with segment AB being the hypothenuse.
We can therefore find this length using the Pythagoras Rule:
Hypothenuse ² = a² + b²
Hypothenuse ² = 28.6² + 23.2²
Hypothenuse ² = 1,356.20
Hypothenuse = √1,356.20
= 36.83
Length of AD:
= AB - BD
= 36.83 - 14.60
= 22.2
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Frank worked 48 hours this week. He gets paid $18 per hour for the first 40 hours and then
Gets time-and-a-half (1.5) for the rest of the time. How much money did he make this week
in total?
what equations will give me this
Answer:
2[tex]n[/tex] = [tex]\alpha n[/tex] and [tex]n + n[/tex] = [tex]\alpha n[/tex]
Step-by-step explanation:
Decide whether the data in the table represent a linear function or an
exponential function. Explain how you know.
X
y
1
4
2
-5
3
-14
-23
5
-32
O A. The data represent an exponential function because there is a
common ratio of
5
4
OB. The data represent a linear function because there is a common
difference of -9.
OC. The data represent a linear function because there is a common
difference of 9.
OD. The data represent an exponential function because there is a
4
Answer:
Its a linear function as there is a common difference of -9.
Step-by-step explanation:
x y Difference
1 4
2 -5 -9
3 -14 -9
4 -23 -9
5 -32 -9
For a difference in x of we have a difference in y of -9.
Which relations are functions?
Choose all answers that are correct:
Answer:
B and C are functions.
Step-by-step explanation:
B and C are functions because they satisfy the Vertical Line Test. A and D are not functions because they do not satisfy the Vertical Line Test.
A box has a length of 5 feet, width of 4 feet, be a height of 8 inches. what is the volume of the box in cubic inches
Answer:
160in³
Step-by-step explanation:
V = lwh
V = 5(4)(8)
V = 40(4)
V = 160in³
i have 1 day to answer this so please help me
Answer:
The answer is D. Hope this helps :)
Which algebraic representation shows a reduction? (x, y) → (x - 3, y - 3) (x, y) → (12x, 12y) (x, y) → (-3x, -3y) (x, y) → (-3x, y)
Answer:
hello!!!!
im pretty sure the answer is (x, y) --> (-3x, -3y)
please read the explanation it always helps!!!
Step-by-step explanation:
reduction most likely means that you are dealing with dilations in geometry....
and that means you will need to multiply both x and y by a negative number.
i hope this helps!!!
the product of the square of a number and the cube of the same number is equal to 243. find the number
Answer:
x=3
Step-by-step explanation:
X^2*x^3 → x^5
x^5 = 243 means x = 3
Answer:
The number is 3.
Step-by-step explanation:
Let "The square of the number" be x^2.
Let "the cube of the same number" be x^3.
"product" means multiplication.
x^2 • x^3 = 243
Multiply. To multiply, add the exponents.
x^5 = 243
Take the 5th root of both sides. You can do this on many scientific calculators with a x^y button. Or raise 243^ (1/5)
1/5 power is the same as 5th root.
You might do it in your head by thinking "what number to the 5th power is 243"
x = 3
Check 3^5 = 243
also
3^2 • 3^3 = 43
9 • 27 = 243
243 = 243 check
In circle J with the measure of minor arc \stackrel{\Large \frown}{HK}=58^{\circ}, HK ⌢ =58 ∘ , find \text{m} \angle HLK.m∠HLK
By applying the central angle property, the measure of angle HLK is equal to 29°.
What is the central angle property?The central angle property states that an inscribed angle is equal to half the measure of a central angle that is subtended by the same arc.
This ultimately implies that, a central angle is double (twice) the measure of an inscribed angle that is subtended by the same arc.
By applying the central angle property, we have:
HK = 2m∠HLK
58 = 2m∠HLK
m∠HLK = 58/2
m∠HLK = 29°.
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help me please I need it
Answer:
A
Step-by-step explanation:
The formula for a rectangular prism is length*width*height. Thus, the equation would be 6*4*16, which equals 384 cm^3.
2) Frank's Auto Zone charges $125 for parts and $75 per hour for labor.
Gracie's Engine Works charges a flat fee of $425 for the same job. Aft
how many hours would the companies charge the same amount?
Mark only one oval.
A) 2 hours
B) 3 hours
C) 4 hours
D) 5 hours
Answer:
the answer is c 4 hours because it's 75 per hour
HELP ASAP THIS IS DO TOMORROW!
Answer:
The volume of the box is 250cm³
Step-by-step explanation:
V = Length * Width * Height
V = 5cm * 5cm * 10cm
V = 250cm³
The volume of the given box (rectangular prism).
Solution:[tex]V = whl[/tex]
[tex]V = 10 \times 5 \times 5[/tex]
[tex]\large\boxed{\sf{V = 250 \: {cm}^{3}}}[/tex]
Therefore, the volume of the given box (rectangular prism) is 250 cubic centimeters.
If $535 is invested at an interest rate of 7% per year and is compounded continuously how much for the investment be worth in 15 years?
Answer:
some people an fly high until good bye
Step-by-step explanation:
Answer:
The final balance would be $1,528.84
Step-by-step explanation:
The final balance would be $1,528.84 and the total compound interest would be $993.84
Please Help I Don't Understand
Answer:
[tex] \frac{8}{5} = \frac{2}{m - 3} \\ \\ \implies \: 8(m - 3) = 2 \times 5 \\ \\ \implies \: 8m - 24 = 10 \\ \\ \implies \: 8m = 10 + 24 \\ \\ \implies \: 8m = 34 \\ \\ \implies \: m = \frac{34}{8} \\ \\ \implies \: \boxed{m = 4.25}[/tex]
therefore , second option is correct.
hope helpful ~
1. How many ounces of pure salt must be added to 11oz of
40% salt solution to produce a 75% solution? (Pure salt is 100%.)
Round your answer to the nearest hundredth of an oz.
oz.
To produce a 75% solution, it is required to add a total of 3.85 ounces of pure salt to the initial solution.
How many ounces of salt are there in the initial solution?11 oz = 100x = 40x = 11 x 40 / 100x = 4.4 ozHow many ounces of salt need to be added?4.4 oz = 40x = 75x = 75 x 4.4 / 40x = 8.258.25 - 4.4 = 3.85 ouncesLearn more about ounces in: https://brainly.com/question/26950819
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math question need helpp
Answer:
(5^6)/(5^3) = 5^3 or 125
Step-by-step explanation:
^ = raised power
(5^6)/(5^3)
because base (5) is same:
law of indices: n^a ÷ n^d = n^(a-d)
therefore
5^6 ÷ 5^3 = 5^(6-3)
= 5^3 which is 125
Find the value of x in the equation without evaluating the power
Answer:
See below
Step-by-step explanation:
2 ^(5+x) = 2^8 (because 256 = 2^8)
equate the exponents 5+x = 8 then x = 3
1/3 ^(2+x) = 1 / 3^ 6 (because 729 = 3^6 )
equate the exponents 2+ x = 6 then x = 4
Answer:
a) x = 3
b) x = 4
Step-by-step explanation:
Use the Exponential Power Rule.
[tex]a^x \times a^y = a^{x+y}[/tex]
Also covert the term on the right to the same base as on the left.
If you are allowed to have calculator do [tex]\log_{\text{base}} (\text{number})[/tex] to get the exponent. For example [tex]\log_{2} (256) = 8[/tex], that means [tex]256 = 2^8.[/tex]
Without calculator you can divide with base untill you have it fully factored, then count. For example:
256/2 = 128
128/2 = 64
64/2 = 32
32/2 = 16
16/2 = 8
8/2 = 4
4/2 = 2
2/2 = 1
We had to divide with base two 8 times so 256 = 2⁸.
a)
[tex]2^5 \cdot 2^x = 256\\2^{5+x} = 2^8[/tex]
Now that we have same base we can equate the exponents!
[tex]5 + x = 8\\x = 8 - 5\\x = 3[/tex]
b)
[tex](\frac{1}{3})^2 \cdot (\frac{1}{3})^x = \frac{1}{729}\\\\(\frac{1}{3})^{2+x} = \frac{1}{3^6}\\\\(\frac{1}{3})^{2+x} = (\frac{1}{3})^6[/tex]
[tex]2 + x = 6\\x = 6 - 2\\x = 4[/tex]
. Find the value of x for which ABCD must be a parallelogram.
B
3x
4x - 5
A
D
Answer:
x = 5
Step-by-step explanation:
make them equal to each other
3x = 4x-5
x = 5
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What is the length of AP?
Answer: 4) 24
Step-by-step explanation:
tickets to gone with the wind, at the classic movie house, cost $4.50 for adults and $2 for children. If 45 people attended the Saturday matinee showing and the Classic movie House sold $162.50 worth of tickets: How many adults attended the showing
Taking into account the definition of a system of linear equations, the number of adults attended the Saturday matinee showing is 29 and the number of children attended the Saturday matinee showing is 16.
System of linear equationsA system of linear equations is a set of two or more equations of the first degree, in which two or more unknowns are related.
Solving a system of equations consists of finding the value of each unknown so that all the equations of the system are satisfied. That is to say, the values of the unknowns must be sought, with which when replacing, they must give the solution proposed in both equations.
Amount of adults that attended the showingIn this case, a system of linear equations must be proposed taking into account that:
"x": number of adults attended the Saturday matinee showing."y": number of children attended the Saturday matinee showing.The tickets to gone with the wind, at the classic movie house, cost $4.50 for adults and $2 for children.
45 people attended the Saturday matinee showing and the Classic movie House sold $162.50 worth of tickets.
So, the system of equations to be solved is
[tex]\left \{ {{x+y=45} \atop {4.50x+2y=162.5}} \right.[/tex]
There are several methods to solve a system of equations, it is decided to solve it using the substitution method, which consists of clearing one of the two variables in one of the equations of the system and substituting its value in the other equation.
In this case, isolating the variable "x" from the first equation you get:
x=45 - y
Then, substituting the expression in the second equation you get:
4.50×(45 - y) +2y=162.5
Solving:
4.50×45 - 4.50y +2y=162.5
4.50×45 - 4.50y +2y=162.5
202.5 -2.5y= 162.5
-2.5y= 162.5 -202.5
-2.5y= -40
y= (-40)÷ (-2.5)
y=16
Now, replacing in the expression x=45 - y you get:
x=45 -y
x= 45-16
x= 29
Finally, the number of adults attended the Saturday matinee showing is 29 and the number of children attended the Saturday matinee showing is 16.
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