∠A and \angle B∠B are vertical angles. If m\angle A=(3x-30)^{\circ}∠A=(3x−30)
∘
and m\angle B=(2x-9)^{\circ}∠B=(2x−9)
∘
, then find the value of x.
Answer:
[tex]x=21\textdegree[/tex]
Step-by-step explanation:
So we know that:
[tex]\angle A=3x-30 \text{ and}\\\angle B=2x-9[/tex]
And that the two angles are vertical angles.
Since they are vertical angles, their measurements are equivalent. Thus, to find x, set the equations equal to each other:
[tex]\angle A=\angle B\\(3x-30)=(2x-9)[/tex]
Now, solve for x. Add 30 to both sides. The left side cancels:
[tex](3x-30)+30=(2x-9)+30\\3x=2x+21[/tex]
Now, subtract 2x from both sides. The right cancels:
[tex](3x)-2x=(2x+21)-2x\\x=21[/tex]
Thus, the value of x is 21.
Find the radian measure of the central angle of a circle of radius r that intercepts an arc of length s. Radius r Arc Length s 19 feet 7 feet
Answer:
The radian measure of the central angle of the given circle is [tex]\frac{7}{19} rad[/tex]
Step-by-step explanation:
The radian measure of the central angle θ of a circle of radius r that intercepts an arc of length s can be calculated from the formula given below
s =rθ
where s is the length of arc
r is radius of the circle
and θ is the central angle in rad (radian)
From s = rθ, Then
θ = s / r
From the question,
Radius r = 19 feet
and Arc length s = 7 feet
Hence,
θ = s / r becomes
θ = 7 / 19
∴ θ [tex]= \frac{7}{19} rad[/tex]
This means the radian measure of the central angle of the given circle is [tex]\frac{7}{19} rad[/tex]
is 5 a natural whole integer or rational or irrational
Answer:
Rational number
Step-by-step explanation:
Answer:
Rational number
Step-by-step explanation:
Which of the following square roots is best represented by Point A?
A
3
4
Answer:
No clue how to use this app but it says ur in highschool and I'm in middle and stuck on the same problem
Step-by-step explanation:
Draw the graphs of 2x+y=6 and 2x-y +2=0.shade the region bounded by these 2 lines and x-axis
Answer: see graph
Step-by-step explanation:
Rewrite each equation in y = mx + b. Then plot the y-intercept (b) and count rise over run (m) to plot the next point. Draw a line through the points.
2x + y = 6 --> y = -2x + 6 --> m = -2, b = 6
2x - y + 2= 0 --> y = -2x +2 --> m = -2, b = 2
Shade the area between the intersection of those two lines and the x-axis.
3 = q/11 i need it real quick
Answer:
[tex]q=33[/tex]
Step-by-step explanation:
So we have:
[tex]3=\frac{q}{11}[/tex]
Multiply both sides by 11:
[tex]11(3)=(11)\frac{q}{11}[/tex]
The right side cancels:
[tex]11(3)=q[/tex]
Multiply the left:
[tex]33=q[/tex]
Thus, the value of q is 33.
Answer:
q = 33
Step-by-step explanation:
3 = q/11 multiply both side by 11
3 * 11 = [tex]\frac{q}{11}[/tex] * 11
33 = q
The function f(x) = 2.5x + 75 is used to model the cost of renting billboard space depending on the area, in square feet, of the billboard, x, and including a standard layout fee. The mathematical range for the function is the set of real numbers. Which statement describes have a reasonable range differs from the mathematical range A The reasonable range contains only integers. B The reasonable range contains only positive rational numbers. C The reasonable range contains only integers greater than 75. D The reasonable range contains only positive rational numbers greater than 75.
Answer:
D The reasonable range contains only positive rational numbers greater than 75.
Step-by-step explanation:
Given that the function f(x) = 2.5x + 75 is used to model the cost of renting billboard space depending on the area, in square feet, of the billboard, x, and including a standard layout fee.
The f(x) is the range of the function. If the mathematical range for the function is the set of real numbers, the reasonable range will be set of positive real numbers which will therefore greater than 75.
Option D is the correct answer which says;
D The reasonable range contains only positive rational numbers greater than 75.
Answer:
d
Step-by-step explanation:
Your hourly salary increased from $11 to $23. What is the percent increase in your
salary?
Answer:
109.09090909% increase
Step-by-step explanation:
Take the new amount and subtract the original amount
23-11 = 12
Divide by the original amount
12/11
1.09090909
Change to percent form
109.09090909%
what is an equation of a line in a point-slope form that passes through (1,-7) and has a slope of -2/3?
Answer:
y+7=[tex]-\frac{2}{3}[/tex](x-1)
Step-by-step explanation:
slope of -2/3, so m=-2/3
point slope form=y-[tex]y_{1}[/tex]=m(x-[tex]x_{1}[/tex])
plug in your slope as well as your x and y values from your point
y-(-7)=(-2/3)(x-1)
y+7=[tex]-\frac{2}{3}[/tex](x-1)
Please answer ASAP !!
Which statement shows 2, 4,-1, and 0 in order from least to greatest?
A 2<-4<-1 <0
B. 4<2<1<0
C. -4 <-1<0 < 2
D. 2 <0 <-1<4
Answer:
C. -4<-1<0<2
Step-by-step explanation:
Since the bigger the negative, the less it is, and since negatives are less than positives, and 0 is more than a positive and less than a negative, the answer is C.
solve by using zero product property 2x⁴ + 6x³ + -4x²
Answer:
2x^2x(x^+3x-2)
Step-by-step explanation:
36=4/9d what does d equal
Answer:
d = 81
Step-by-step explanation:
Solve for d:
36 = (4 d)/9
Hint: | Reverse the equality in 36 = (4 d)/9 in order to isolate d to the left hand side.
36 = (4 d)/9 is equivalent to (4 d)/9 = 36:
(4 d)/9 = 36
Hint: | Multiply both sides by a constant to simplify the equation.
Multiply both sides of (4 d)/9 = 36 by 9/4:
(9×4 d)/(4×9) = 9/4×36
Hint: | Express 9/4×4/9 as a single fraction.
9/4×4/9 = (9×4)/(4×9):
(9×4)/(4×9) d = 9/4×36
Hint: | Express 9/4×36 as a single fraction.
9/4×36 = (9×36)/4:
(9×4 d)/(4×9) = (9×36)/4
Hint: | Cancel common terms in the numerator and denominator of (9×4 d)/(4×9).
(9×4 d)/(4×9) = (4×9)/(4×9)×d = d:
d = (9×36)/4
Hint: | In (9×36)/4, divide 36 in the numerator by 4 in the denominator.
36/4 = (4×9)/4 = 9:
d = 9×9
Hint: | Multiply 9 and 9 together.
9×9 = 81:
Answer: d = 81
Answer: d=81
Step-by-step explanation:
Given
36=4/9 d
Divide both sides by 4/9 (division property of equality)
d=36 ÷ (4/9)
Turn division of fraction into multiplication of its reciprocal
d=36 × (9/4)
Simplify
d=81
Hope this helps!! :)
Please let me know if you have any question
All of the x values or inputs are called what?
Answer:
its called a Domain
Step-by-step explanation:
All of the x-values or inputs are called Domain.
"x-values" is the word used in mathematics and statistics to describe the input values or independent variables in a function or equation.
These x-values stand for a function's inputs, arguments, or the points at which a mathematical connection is being assessed.
The outputs or dependent variables of a function are represented by the appropriate y-values, which are often paired with the associated x-values. The link between the independent and dependent variables can be seen on a graph by plotting the x-values and y-values together as data points.
For example, in the equation y = 2x + 3, "x" represents the x-values or inputs, while "y" represents the corresponding y-values or outputs. By substituting different values for x, you can calculate the corresponding y-values and observe how changes in the x-values affect the relationship described by the equation.
Hence the answer is Domain.
Learn more about Domain click;
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Factor out the GCF: 35n + 28
Answer:
Hey there!
The GCF of these terms is 7.
Thus, our answer is 7(5n+4).
Let me know if this helps :)
15(x -20)-21= -3(x+1)+6
Answer:
x = 18
Step-by-step explanation:
Solve for x:
15 (x - 20) - 21 = 6 - 3 (x + 1)
Hint: | Distribute 15 over x - 20.
15 (x - 20) = 15 x - 300:
15 x - 300 - 21 = 6 - 3 (x + 1)
Hint: | Group like terms in 15 x - 300 - 21.
Grouping like terms, 15 x - 300 - 21 = 15 x + (-300 - 21):
15 x + (-300 - 21) = 6 - 3 (x + 1)
Hint: | Evaluate -300 - 21.
-300 - 21 = -321:
15 x + -321 = 6 - 3 (x + 1)
Hint: | Distribute -3 over x + 1.
-3 (x + 1) = -3 x - 3:
15 x - 321 = -3 x - 3 + 6
Hint: | Group like terms in -3 x - 3 + 6.
Grouping like terms, -3 x - 3 + 6 = (6 - 3) - 3 x:
15 x - 321 = (6 - 3) - 3 x
Hint: | Evaluate 6 - 3.
6 - 3 = 3:
15 x - 321 = 3 - 3 x
Hint: | Move terms with x to the left hand side.
Add 3 x to both sides:
15 x + 3 x - 321 = (3 x - 3 x) + 3
Hint: | Look for the difference of two identical terms.
3 x - 3 x = 0:
15 x + 3 x - 321 = 3
Hint: | Group like terms in 15 x + 3 x - 321.
Grouping like terms, 15 x + 3 x - 321 = (15 x + 3 x) - 321:
(15 x + 3 x) - 321 = 3
Hint: | Add like terms in 15 x + 3 x.
15 x + 3 x = 18 x:
18 x - 321 = 3
Hint: | Isolate terms with x to the left hand side.
Add 321 to both sides:
18 x + (321 - 321) = 321 + 3
Hint: | Look for the difference of two identical terms.
321 - 321 = 0:
18 x = 3 + 321
Hint: | Evaluate 3 + 321.
3 + 321 = 324:
18 x = 324
Hint: | Divide both sides by a constant to simplify the equation.
Divide both sides of 18 x = 324 by 18:
(18 x)/18 = 324/18
Hint: | Any nonzero number divided by itself is one.
18/18 = 1:
x = 324/18
Hint: | Reduce 324/18 to lowest terms. Start by finding the GCD of 324 and 18.
The gcd of 324 and 18 is 18, so 324/18 = (18×18)/(18×1) = 18/18×18 = 18:
Answer: x = 18
Factor by identifying a common factor in each term. help
g) 6xy2 = (3x) (?)
h) 25a3b2 = (5a2b2) (?)
i) 6x + 6y + 6p
Answer:
6xy^2=3x(2y²) common factor 3x
25a³b²=5a²b²(5a)
6x+6y+6p = 6(x+y+p)
help me please
solve: -11x^2-44=0
Answer:
1.1 Factoring: x2-44
Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)
Proof : (A+B) • (A-B) =
A2 - AB + BA - B2 =
A2 - AB + AB - B2 =
A2 - B2
Note : AB = BA is the commutative property of multiplication.
Note : - AB + AB equals zero and is therefore eliminated from the expression.
Check : 44 is not a square !!
Step-by-step explanation:
Draw a diagram. Write the Segment Addition Postulate for the points described. Then solve for missing length.
Answer:
DP=9
Step-by-step explanation:
DS=4
DP=5
DP=DS+DP=4+5=9
DP=9
On a number line, point C is located at -4 and point D is located at 6. At what point must P be located so that the directed line segment from C to D will be partitioned in a 2:3 ratio?
●-2
●0
●2
●4
Answer:
0 is the answer
Step-by-step explanation:
The position of point P is at 0 on number line.
What is Number line?
Number line is a straight line with numbers placed at equal intervals.
Given that;
Point C is located at -4.
Point D is located at 6.
Now,
Distance between points -4 and 6 is,
6 - (-4) = 6 + 4 = 10
Since, Point P be located so that the directed line segment from C to D will be partitioned in a 2 : 3.
Let partitions are 2x and 3x.
Then,
2x + 3x = 10
5x = 10
x = 2
So, The partitions between point C and D is,
2x = 2 × 2 = 4
3x = 3 × 2 = 6
So, The ratio become = 4 : 6
Thus, Position of point P from C = - 4 + 4 = 0
Position of point P from D = 6 - 6 = 0
So, The position of point P is at 0 on number line.
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which number sentence shows one way to find the sum of 4 and 5
a. 4+5+5= 14
b. 4+4+5= 13
c. 4+4+4= 12
e. 4+4+1= 9
Answer: 4+4+1=9(e)
Step-by-step explanation: because in 4+4+1 .... the 4+1 at the end equals up to 5 so therefore the equation is basically 4+5=9 .
Using the same table from the previous problem: Identify the slope. A). 2/3 B). 3/2 C). -3/2 D). -2/3
Answer:
D)
Step-by-step explanation:
Take any two points
(-6, 8) & (3,2)
[tex]Slope=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\\\=\frac{2-8}{3-[-6]}\\\\\\=\frac{-6}{3+6}\\\\\\=\frac{-6}{9}\\\\\\=\frac{-2}{3}[/tex]
Consider the following.
Answer:
(-8, 7); x + y = 13 → y= -x + 13
parallel lines have the same slope. slope is -1
y = -x + b
7 = -(-8) + b
7 = 8 + b
b = -1
(a) y = -x - 1
perpendicular lines have opposite slopes. slope is 1/2.
y = -1/2x + b
7 = -1/2(-8) + b
7 = 4 + b
b = 3
(b) y = -1/2x + 3
The cost for b, breakfasts, l, lunches, and d, dinners for a group of people is 6.5b + 9.757 + 17.25d. What is the total cost of 9 breakfasts, 12 lunches, and 14 dinners?
Answer:
417.084
Step-by-step explanation:
9*6.5+12*9.757+14*17.25
58.5+117.084+241.5
⇒417.084
(4x2y3 + 2xy2 – 2y) – (–7x2y3 + 6xy2 – 2y) i need help solving
Answer:
[tex]\huge \boxed{11x^2 y^3-4xy^2 }[/tex]
Step-by-step explanation:
[tex](4x^2y^3 + 2xy^2 - 2y) - (-7x^2 y^3 + 6xy^2 -2y)[/tex]
Distribute the negative sign to the terms in the bracket.
[tex](4x^2y^3 + 2xy^2 - 2y) +7x^2 y^3 - 6xy^2 +2y[/tex]
Grouping like terms.
[tex](4x^2y^3 +7x^2 y^3) + (2xy^2 - 6xy^2 ) +( - 2y +2y)[/tex]
Combining like terms.
[tex](11x^2 y^3) + (-4xy^2 ) +(0)[/tex]
[tex]11x^2 y^3-4xy^2[/tex]
Tell whether -3.12345... is greater than, less than or equal to the
negative square root of 7.
Answer: it’s greater than the negative square root of 7
Step-by-step explanation:
The negative square root of 7 is -2.64575131106 hope this helps
4639 nearest thousand please answer fast
I don't know but I'll tell you as soon as I find out
Answer: 5000
Step-by-step explanation:
John runs for 2.25 hours, burning 375.5 calories per hour. How many total calories does he burn?
Answer:
844.875
Step-by-step explanation:
375.5 * 2.25= 844.875
Simplify: 8(20-( (9-5))^2*
Answer:
= 32
Step-by-step explanation:
= 8 [ 20 - { (9-5) }² ]
= 8 [ 20 - { (4) }² ]
= 8 [ 20 - 16 ]
= 8 [ 4 ]
= 32
note:
not sure if your parentheses are in correct position.
Answer:
[tex]\Huge \boxed{32}[/tex]
[tex]\rule[225]{225}{2}[/tex]
Step-by-step explanation:
[tex]8(20-(9-5)^2)[/tex]
Evaluating according to PEMDAS:
[tex]\Rightarrow \ \ 8(20-( 4)^2)[/tex]
[tex]\Rightarrow \ \ 8(20-16)[/tex]
[tex]\Rightarrow \ \ 8 \cdot (4)[/tex]
[tex]\Rightarrow \ \ 32[/tex]
[tex]\rule[225]{225}{2}[/tex]
if bob has $23.6 and a guy stole $05.7 how much money does bob have?
Answer:
He has $17.9 now
Find the largest of the following numbers: [tex]2^{3^4}, 2^{4^3}, 3^{4^2}, 4^{3^2}, 4^{2^3}[/tex]
Answer:
Its would be the second one
Step-by-step explanation:
Because 2x2x2x2 is 16 then 16x16x16 is 4096