Answer:
[tex]x^{\circ}+105^{\circ}=180^{\circ},\\x^{\circ}=z^{\circ},\\180^{\circ}-z^{\circ}=y^{\circ}[/tex]
Step-by-step explanation:
Statement 1:
True - These two angles are supplementary (add up to 180 degrees) because they form one side of a line.
Statement 2:
True - These two angles are vertical angles (opposite to each other at intersection of two lines). All vertical angles are equal.
Statement 3:
False - These two angles are vertical and therefore are equal. Thus, they cannot have a difference of 105.
Statement 4:
False - Two of these angles form one side of a line which is equal to 180 degrees. Since the third angle is greater than zero, they cannot all add up to 180 degrees.
Statement 5:
True - These two angles are supplementary (add up to 180 degrees) because they form one side of a line.
Statement 6:
False - These two angles are supplementary (add up to 180 degrees) because they form one side of a line and therefore cannot be equal to 105.
Answer and Step-by-step explanation:
The answers are:
x + 105 = 180 (Supplementary angles = 180 degrees)
x = z (Vertical angles are congruent)
180 - z = y (Supplementary angles = 180 degrees)
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A 6 foot ladder is leaning against a wall and makes a 57 degree angle with the ground. How high does the ladder reach on the wall
Answer:
357
Son:tep-by-step explanati
Find the average rate of change of
Answer:
Rate of change = - 4
Step-by-step explanation:
[tex]h(x) = -x^2 + 3x + 1 \\\\h(2) = -(2)^2 + (3 \times 2) + 1 = - 4 + 6 + 1 = 3\\h(5) = - (5)^2 + ( 3 \times 5) + 1 = - 25 + 15 + 1 = -9\\[/tex]
Rate of change :
[tex]= \frac{h(2) - h(5)}{2-5} = \frac{3-(-9)}{2-5} = \frac{3+9}{-3} = - \frac{12}{3} = -4[/tex]
Fill in the blanks below in order to justify whether or not the mapping shown represents a function
Answer:
not a function because -3 maps to two different values 5 and 6
Step-by-step explanation:
Find the equation of the line through the points (6, -9) and (-2, -1).
Enter your answer in slope-intercept form y = mx + b.
Answer:
y = -1x - 3
Step-by-step explanation:
y2 - y1 / x2 - x1
-1 - (-9) / -2 - 6
8/-8
= -1
y = -1x + b
-1 = -1(-2) + b
-1 = 2 + b
-3 = b
Rewrite the expression in the form z^n
Answer:
[tex]z^{ \frac{1}{3}[/tex]
Step-by-step explanation:
[tex]\sqrt{\frac{z}{z^{\frac{1}{3}} } } = \sqrt{z \times z^{-\frac{1}{3}}[/tex] [tex][ \ \frac{a}{a^x} = a \cdot a^{-x} \ ][/tex]
[tex]= \sqrt {z^{\frac{2}{3}}}\\\\[/tex] [tex][ \ a^x \cdot a^y = a^{ x+ y} \ ][/tex]
[tex]= (z^{\frac{2}{3}})^{ \frac{1}{2}}[/tex] [tex][ \ \sqrt{x^y} = (x^{y}) ^{\frac{1}{2}} \ ][/tex]
[tex]= z^ {\frac{1}{3}}[/tex] [tex][ \ (a^x)^y = a^{xy} \ ][/tex]
median 10 24 9 18 15 28 12 27 25 29 10 26
Answer:
The median is 21
Step-by-step explanation:
Since you have 12 numbers in order, that's an even number, once you put them in numerical order and start crossing them off on both sides, you'll have 18 and 24 left, add them together and divide them by 2 and you'll have your median 21.
Which expression represents the series 1+5+25+125+625
Answer:
[tex]1 = {5}^{0} [/tex]
[tex]5 = {5}^{1} [/tex]
[tex]25 = {5}^{2} [/tex]
[tex]125 = {5}^{3} [/tex]
[tex]625 = {5}^{4} [/tex]
option A is correct, it starts with the power of zero (equals always one, see it as
[tex] \frac{5}{5} [/tex]
and it goes up to the power of 4
Letter D thanks for asking for help
write a quadratic function h whose zeros are - 6 and -5 h (x) =
Answer:
h(x)= x^2+11x+30
Step-by-step explanation:
A quadratic function is in the form h(x) = ax^2 + bx + c.
Since the zeros are -6 and -5, take the opposite signs and add them to the variable x separately.
It should look like this: h(x)= (x+6)(x+5)
Since this is the factored form, we have to solve this equation further.
h(x)= (x+6)(x+5)
h(x)= x^2+6x+5x+30
h(x)= x^2+11x+30
Multiply : 2^3 root 3 by 3 root 2
Answer:
24 root 6
Step-by-step explanation:
Answer:
the answer is 58•78775383(that is 2^3√3×3√2)
Write the equation of a line passing through (-1,2) and perpendicular to y = 1/5x+5
Answer:
y = -5x - 3
Step-by-step explanation:
y = -5x + b
2 = -5(-1) + b
2 = 5 + b
-3 = b
Can anyone help me? With this Math problem ASAP
Answer:
amount is ≤ 500
Step-by-step explanation:
Maximum means less than or equal to
amount is ≤ 500
Find q
(7q-46)
(3q+6)
Answer:
[tex]q = 22[/tex]
Step-by-step explanation:
The angle measure of a straight line is (180) degrees As given in the picture, line (AC) is a straight line, thus its angle measure is (180) degrees. Angles (ABD) and (DBC) make up line (AC). Therefore, one can conclude that the sum of angles (ABD) and (DBC) is (180) degrees. Form an equation, simplify and use inverse operations to solve for the unknown parameter (q).
[tex](<ABD) + (<DBC) = (AC)[/tex]
Substitute for the angle measures,
[tex](7q-46)+(3q+6)=180[/tex]
Simplify,
[tex]10q-40=180[/tex]
Inverse operations,
[tex]10q-40=180\\\\10q = 220\\\\q = 22[/tex]
Answer:
need pts
Step-by-step explanation:
Một cộng mười bằng máy
the area of a circle is 100 square miles. What is the diameter?
Answer:
The diameter of a circle with an area of 100 square miles is 20/√π miles.
Step-by-step explanation:
Area =100 = πr^2.
diameter = d = 2r.
100 = πr^2.
100/π = r^2.
√(100/π) = r.
10/√π = r.
d = 2r.
d = 2 * 10/√π.
d = 20/√π
find the measurement of the angle B explain your answer
Answer:
b = 61
Step-by-step explanation:
The sum of the two angles is 90 degrees
b+29 = 90
Subtract 29 from each side
b+29 -29 = 90 -29
b = 61
Ricky takes 2 coins at random from 3 quarters, 5 dimes, and two nickels in his pocket.
1) What is the (P) nickel then a quarter, without 2) What is the (P) nickel then a dime, with
replacement?
replacement?
3) What is the (P) quarter then a dime, with
replacement?
4) What is the (P) nickel then a nickel, without
replacement?
Answer:
Step-by-step explanation:
To calculate the probability of drawing a nickel followed by a quarter without replacement, we need to determine the total number of possible outcomes and the number of favorable outcomes.
Total number of possible outcomes: Ricky chooses 2 coins from a total of 3 quarters, 5 dimes, and 2 nickels. This can be calculated using combinations, denoted as C(n, r), which represents the number of ways to choose r items from a set of n items. In this case, Ricky is choosing 2 coins from a set of 10 coins:
Total possible outcomes = C(10, 2) = 45
Number of favorable outcomes: Ricky needs to select a nickel first, which leaves 9 coins remaining. Out of these remaining coins, there is 1 quarter. Thus, the number of favorable outcomes is 1.
Favorable outcomes = 1
Probability (P) of drawing a nickel then a quarter without replacement:
P = Favorable outcomes / Total possible outcomes
P = 1 / 45
Therefore, the probability of selecting a nickel followed by a quarter without replacement is 1/45.
To calculate the probability of drawing a nickel then a dime with replacement, we assume that after each selection, the coin is replaced, and the total number of coins remains the same.
Probability (P) of drawing a nickel then a dime with replacement:
P(nickel then dime) = (Number of nickels / Total number of coins) * (Number of dimes / Total number of coins)
P(nickel then dime) = (2/10) * (5/10)
P(nickel then dime) = 1/10
Therefore, the probability of selecting a nickel followed by a dime with replacement is 1/10.
To calculate the probability of drawing a quarter then a dime with replacement:
Probability (P) of drawing a quarter then a dime with replacement:
P(quarter then dime) = (Number of quarters / Total number of coins) * (Number of dimes / Total number of coins)
P(quarter then dime) = (3/10) * (5/10)
P(quarter then dime) = 3/20
Therefore, the probability of selecting a quarter followed by a dime with replacement is 3/20.
To calculate the probability of drawing a nickel then another nickel without replacement, we need to consider that the second draw must be a nickel and that the first nickel is not replaced.
Total number of possible outcomes: Ricky chooses 2 coins from a total of 3 quarters, 5 dimes, and 2 nickels:
Total possible outcomes = C(10, 2) = 45
Number of favorable outcomes: Ricky needs to select a nickel first, which leaves 9 coins remaining. Out of these remaining coins, there is only 1 nickel left.
Favorable outcomes = 1
Probability (P) of drawing a nickel then another nickel without replacement:
P = Favorable outcomes / Total possible outcomes
P = 1 / 45
Therefore, the probability of selecting a nickel followed by another nickel without replacement is 1/45.
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Need help ASAP. i forgot all the steps after the Area is solved with 5. or if 25pi is the right answer.
Answer:
[tex]42.5\:\mathrm{m^2}[/tex]
Step-by-step explanation:
The area of a sector with measure [tex]\theta[/tex] in degrees is given by [tex]r^2\pi\cdot\frac{\theta}{360}[/tex], where [tex]r[/tex] is the radius of the sector.
What we're given:
[tex]r[/tex] of 5 [tex]\theta[/tex] of [tex]195^{\circ}[/tex]Solving, we get:
[tex]A_{sector}=5^2\pi\cdot \frac{195}{360}=13.5416666667\pi=42.5424005174\approx \boxed{42.5\:\mathrm{m^2}}[/tex]
*Notes:
units should be in square meters (area) the problem does not say whether to round or leave answers in term of pi, so you may need to adjust the answer depending on what your teacher specifically wantsUse the function below to find f(-2).
F(x)= 3^x
A. 1/6
B. -9
C. -6
D. 1/9
Answer:
D. 1/9
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
FunctionsFunction NotationExponential Rule [Rewrite]: [tex]\displaystyle b^{-m} = \frac{1}{b^m}[/tex]Step-by-step explanation:
Step 1: Define
Identify
f(x) = 3ˣ
f(-2) is x = -2 for function f(x)
Step 2: Evaluate
Substitute in x [Function f(x)]: f(-2) = 3⁻²Exponents: f(-2) = 1/9Leo is working part time as a server in a restaurant. He makes $8.14 for each hour he works, and on average earns an additional $300 per week in tips. Which function, f(x), can Leo use to model his average weekly salary in terms of the number of hours, x, he works?
Answer:
f(x) = 8.14x + 300
Step-by-step explanation:
The function of 8.14x + 300 can be used to model Leo's average weekly salary in terms of x.
What is a function?' A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.'
According to the given problem,
Amount Leo earns for each hour he works = $8.14
Amount Leo earns in x hours = $8.14x
Amount Leo earns as additional tip per week = $300
Therefore, the function of x is,
⇒ f(x) = 8.14x + 300
Hence, we can conclude, the function that can be used to model his weekly salary is 8.14x + 300
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What is the slope of the line g(x) = -7x + 8?
Answer:
The slope is -7 and the y intercept is 8
Step-by-step explanation:
g(x) = -7x + 8
This is in the form y = mx +b where m is the slope and b is the y intercept
The slope is -7 and the y intercept is 8
Jane bought 6 banana at $250 per dozen. she sells four and a half dozen at $35 each and the others were sold at %20 each determine if she made a profit or loss state her profit or loss as a percentage. show working
Answer:
34.4% profit
Step-by-step explanation:
C.P. = 1500
S.P. = 2016
Profit% = 34.4%
Find the value of x in each case:
Step-by-step explanation:
angle MRP
angle PRS=angle RPN (alternate angles)
2x+x+x+78°=180°(sum of angles of a triangle)
4x+78°=180°
4x=180°-78°
4x=102°
4x/4=102°/4
x=25.5
what is the missing value for a on the diagram below?
Answer:
Step-by-step explanation:
The line that is going through the center of the circle is the diameter, which, like I just stated, goes through the middle of the circle (cutting it in half). Half of a circle measures 180 degrees. That means that x measures 180 - 122 which is 58 degrees.
HELP PLEASE
what is the base of this problem?
Answer:
8x8x8x8
Step-by-step explanation:
square root of 7 hole 18/49
Answer:
19/7
Step-by-step explanation:
7 18/49 = 361/49 = √361/√49 = 19×19/7×7 = 19/7
Square root of 7 18/49 is 19/7
Hope this answer helps you :)
Have a great day
Mark brainliest
Witch shows the correct way to convert 5 ounces to pounds ?
A hot metal plate at 150°C has been placed in air at room temperature. Which event would most likely take place over the next few minutes?
- Molecules in both the metal and the surrounding air will start moving at lower speeds.
- Molecules in both the metal and the surrounding air will start moving at higher speeds.
- The air molecules that are surrounding the metal will slow down, and the molecules in the metal will speed up.
- The air molecules that are surrounding the metal will speed up, and the molecules in the metal will slow down.
Answer:
the last option, effectively cooling the hot plate down and heating the surrounding up
ASAP ART!!!!!
Design your own rotational symmetry piece fulfilling at least ONE of the criteria listed AND coloring it
Drag each set of side lengths to show whether they can or cannot make a triangle, or if there is not enough information to tell.
Answer:
Solve for x.
x = log44
x =
Step-by-step explanation:
Solve for x.
x = log44
x = Solve for x.
x = log44
x = Solve for x.
x = log44
x =
Answer:
a] 4 ft, 6 ft, 11 ft
the sum of short side is (4+6)=10 which is less than the sum of the longest side. Therefore we conclude that the three lengths CANNOT make a triangle:
Answer: CANNOT make a triangle
b] 5 ft, 7 ft, 11 ft
sum of shorter sides is (5+7)=12
since 12 is greater than 11, then the three length can make a triangle.
Answer: CAN make a triangle
c] 7 ft, 8 ft, 14 ft
The sum of shorter side is:
(7+8)=15 ft
since the sum of shorter side is longer than that of the longer side, we conclude that the three lengths can form a triangle.
Answer: CAN make a triangle
Para hacer 600 m de una obra, 30 obreros han trabajado 12 dias a razon de 10 horas diarias. ¿Cuantos dias necesitaran 36 obreros para hacer 900 m de la obra trabajando 6 horas diarias?
Respuesta:
25 días
Explicación paso a paso:
Dado :
escenario 1
Área = 600 m
Número de días = 12
Número de trabajadores = 30
Tasa = 6
Escenario 2:
Área = 900 m
Número de días = n
Número de trabajadores = 36
Tasa = 6
Igualar los parámetros en cada escenario:
12 / n = 36/30 * 6/10 * 600/900
12 / n = 6/5 * 3/5 * 2/3
12 / n = 6/5 * 1/5 * 2/1
12 / n = 12/25
12 * 25 = 12n
300 = 12n
n = 300/12
n = 25 días
The number of days that 36 workers need at the given rate is 25 days
From the given question, we have 2 scenarios
First case:
Distance worked = 600mNumber of workers = 30 workersDays of wors = 12 daysRate per day = 10 hours per daySecond case:
Distance worked = 900mNumber of workers = 36 workersDays of wors = n daysRate per day = 6 hours per dayTaking the ratios of the distance worked, the number of workers, and rate will give:
12/n = 36/30 * 6/10 * 600/900
12/n = 129600/270000
Cross multiply;
129600n = 12 * 270000
129600n = 3240000
n = 3240000/129600
n = 25
Hence the number of days that 36 workers need at the given rate is 25 days
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