The angle measurements in the diagram are represented by the following expressions.
A= 5x - 15°
B = 2x + 21°
Solve for x and then find the measure of
Answer:
45°
Step-by-step explanation:
A and B are Alternate exterior angles and congruent, thus
5x - 15 = 2x + 21 ( subtract 2x from both sides )
3x - 15 = 21 ( add 15 to both sides )
3x = 36 ( divide both sides by 3 )
x = 12
Thus
∠ A = 5x - 15 = 5(12) - 15 = 60 - 15 = 45°
∠ B = 2x + 21 = 2(12) + 21 = 24 + 21 = 45°
How to factor -25-15mn
The factorization of -25-15mn is -5(5+3mn)
What is factorization?Factorising is the reverse process of expanding brackets. To factorise an expression fully, means to put it in brackets by taking out the highest common factors. The simplest way of factorising is: Find the highest common factor of each of the terms in the expression.
For example 5( 3x+ 2y+ 4z) can be expanded into 15x + 10y + 20z and moreover 15x + 10y + 20z can be transformed by finding the factors between each terms, here the factor is 5; 5( 3x + 2y +4z)
Similarly to factorize -25-15mn we find the factor that is common to -25 and - 15 . The common factor is -5.
therefore factorizing -25-15mn we bring -5 out of -25 and -5
= -5( 5+3mn)
learn more about factorization from
https://brainly.com/question/25829061
#SPJ1
Find 1/10 of 427.9
(A) 4,279.0
(B)42.79
(C)4.279
(D)0.427
Answer:
B. 42.79
Step-by-step explanation:
There's a trick to dividing by 10ths, you just move the decimal point one space to the left.
1/10 of 1234 = 123.4
1/10 of 98.7654 = 9.87654
Hey there!
1/10 of 427.9
= 1/10 * 427.9
= 1/10 * 427.9/1
= 0.10 * 427.9
= 42.79
Therefore, your answer is: 42.79 (Option B.)
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Hurry!! Worth 10 points
Answer:
B
Step-by-step explanation:
5/8b+4/5
A three sided regular polygon is called _______.
an acute triangle
a right triangle
an isosceles triangle
an equilateral triangle
Answer:
Equilateral triangle
Step-by-step explanation:
If pentagon OPQRS is dilated by a scale factor of from the origin to create O'P'Q'R'S', what is the ordered pair of point S'
Option (D) that is (3.5, 8.75) is the ordered pair of point S.
What is ordered pair?An ordered pair is a composite of the x coordinate (abscissa) and the y coordinate (ordinate), with two values expressed between parenthesis in a predetermined order. It aids visual comprehension by locating a point on the Cartesian plane. An ordered pair's numeric values can be integers or fractions. Two variables are frequently represented by ordered pairs. We mean x = 7 and y = -2 when we write (x, y) = (7, -2). The x-coordinate is the number that corresponds to the value of x, and the y-coordinate is the number that corresponds to the value of y.
Here,
The ordered pair of point S is option (D), which is (3.5, 8.75).
To know more about ordered pair,
brainly.com/question/30113488
#SPJ4
Complete question: Pentagon OPQRS is shown on the coordinate plane below:
Pentagon OPQRS on a coordinate plane with ordered pairs at O negative 1, 2, at P negative 5, 3, at Q negative 3, negative 2, and R 2, 1, at S 2, 5.
If pentagon OPQRS is dilated by a scale factor of seven over four from the origin, to create O’P’Q’R’S’, what is the ordered pair of point S’?
48 _ (-8) =(6)
What’s missing Need the answer ASAP
Answer:
\(divided\)
Step-by-step explanation:
your need to divide 48 by 8 to get 6
Mason went to the grocery store and bought bottles of soda and bottles of juice. Each bottle of soda has 45 grams of sugar and each bottle of juice has 15 grams of sugar. Mason purchased a total of 11 bottles of juice and soda which collectively contain 285 grams of sugar. Write a system of equations that could be used to determine the number of bottles of soda purchased and the number of bottles of juice purchased. Define the variables that you use to write the system.
The system of equations are
45s + 15j = 285 equation 1
s + j = 11 equation 2
Where:
s = number of soda bought
j = number of juice bought
What are the system of equation?In order to determine the required values, two sets of equations would be formed from the question. The two equations formed would be solved simultaneously in order to determine the required values.
The methods that can be used to solve the system of equations include the elimination method, substitution method and the graph method.
The form of the equations that would be formed is:
(number of soda bottles bought x grams of sugar in each bottle) + (number of juice bottles bought x grams of sugar in each bottle) = total grams of sugar
number of soda bottles bought + number of juice bottles bought = total number of bottles
45s + 15j = 285 equation 1
s + j = 11 equation 2
To learn more about system of equations, please check: https://brainly.com/question/28178858
#SPJ1
Square ABCD has vertices at these points A(-7,1), B(-3,5), C(1,1), D(-3,-3). What is the length of the diagonal AC?
Answer:
8 units
Step-by-step explanation:
A (- 7, 1 ) and C (1, 1 )
since the y- coordinates are equal, both 1 then the length of AC is the absolute difference of the x- coordinates , that is
AC = | 1 - (- 7 ) | = | 1 + 7 | = | 8 | = 8
or
AC = | - 7 - 1 | = | - 8 | = 8
ILL GIVE BRAINLIEST ASAP AND PLEASE DONT PUT A LINK!!!
Answer:
A
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
the graph shows that it's greater than or equal to and the arrow going up represents at least 50
BANK D → $5,075 of interest with a 5% rate
Answer:
If monthly then it would be $21.15
Step-by-step explanation:
Because it is what it is ♀️
What is the value of 12+6/N
when N = 2?
A. 6
B. 9
C. 12
D. 18
Solve: 9l5n - 8l - 3 < 15
Answer:
9l^5n-8l-3<15
Step-by-step explanation:
7. In the unit circle, the terminal rays for all reference angles of 30, 45 and 60 degrees are
drawn. There are 3 side lengths that you should memorize to complete all of the missing
coordinates. The lengths across from 30° =
45°
and 60° =
=
In the unit circle, the terminal rays for all reference angles of 30°, 45° and 60° are drawn. There are 3 side lengths that you should memorize to complete all of the missing coordinates. The lengths across from 30° = 1/2, 45° = √2/2, and 60° = √3/2.
The Unit Circle is a circle with a radius of 1. It is called "The Unit Circle" because its radius is one unit. To convert an angle into radians, we need to multiply it by pi/180.
A reference angle is an acute angle that the terminal side of the angle makes with the x-axis.In the figure below, the angles θ and θ′ are coterminal because they have the same terminal side. However, θ′ is a reference angle because it is an acute angle formed between the terminal side and the x-axis.
The trigonometric functions of the angle θ′ can be determined by using the coordinates of the point where the terminal side intersects the unit circle. The coordinates of this point are given by (cos θ′, sin θ′). There are three side lengths that you should memorize to complete all of the missing coordinates.
The lengths across from 30° = 1/2, 45° = √2/2, and 60° = √3/2. These lengths are the values of cos(30°), sin(30°), cos(45°), sin(45°), cos(60°), and sin(60°), respectively.
For more question on coordinates
https://brainly.com/question/29660530
#SPJ8
Find the value of X, Z, and Y in the graph below?
9514 1404 393
Answer:
(x, y, z) = (49, 58, 122)
Step-by-step explanation:
The same-side exterior angles have a sum of 180°.
(x +9) +(3x -25) = 180
4x -16 = 180
x -4 = 45
x = 49
Vertical angles are congruent:
y = 49 +9 = 58
z = 180 -y = 122 = 3(49) -25
The values of x, y, and z are ...
X = 49Z = 122Y = 58In a binomial situation, n=18 and π=0.60. Determine the standard
deviation*
Answer:
Use colon method
Step-by-step explanation:
So it is more easy
each table has 8 seats how many are needed to seat 349 people
Answer:
Step-by-step explanation:
when you divide you get 43. something but you can't have half of a chair so you should get another one making it 44 chairs
if wrong i'm sorry.
For the following table, compute the area of a 510 square foot shed left to paint if you paint 60 square feet a day. What kind of decay is this?
10 POINTS (PLEASE PLEASE I BEG YOU HELP ME)
Answer:
give me points an d i will give u points
Step-by-step explanation: yufikdx
A. 28
B. 24
C. 20
D. 18
E. 16
Answer: A
Step-by-step explanation:
Melanie and noah are baking a birthday cake for franceca. The recipe call for 3/4 meauring cup and noah ha a 1/8 meauring cup. Which cup hould they ue
They should use 6 cup of Noah's measuring cup
What are algebraic operations?They are the set of numbers and symbols that are related by the different mathematical operation signs such as addition, subtraction, multiplication, division among others.
To solve this problem we must perform the following algebraic operations with the given information
Information about the problem:
Recipe call = 3/4Noah's cup = 1/8Number of cup = ?Calculating the number of cup the should use:
Number of cup = Recipe call / Noah's cup
Number of cup = (3/4) / (1/8)
Number of cup = 3*8 / 4*1
Number of cup = 24/4
Number of cup = 6
Learn more about algebraic operations at: brainly.com/question/3927786
#SPJ4
Correctly written question:
Melanie and Noah are baking a birthday cake for Francesca. The recipe call for 3/4 measuring cup and Noah has a 1/8 measuring cup. Which cup should they use?
Hii can someone who is really good at math please help me with these 2 math questions. I'm struggling with them!!
Given j // m // n, find the value of x
Answer:
X = 50° ( being. vertically opposite angle)
Solve by distributing: 7(2x + 5) *
Answer:
14x+35
Step-by-step explanation:
Answer:
14x+35
Step-by-step explanation:
7(2x+5)
Use the distributive property to multiply 7 by 2x+5.
14x+35
The estimate on an explanatory variable is not statistically significant at the 5%-level if the t-statistic is greater than 2.5. the p-value is less than 0.05. the 95% confidence interval does not contain zero. the 95% confidence interval contains zero.
The estimated value of the explanatory variable is not statistically significant at the 5%-level if a. the t-statistic is greater than 2.5.
The t-test is a hypothesis testing technique used to decide whether the estimated coefficient of a linear regression model is statistically significant or not. The t-value is used to measure the size of the difference between the estimated coefficient and the hypothesized value. When the t-value exceeds a critical value, such as 2.5, the estimated value of the explanatory variable is not significant at the 5%-level. It implies that the null hypothesis, which assumes that the explanatory variable's coefficient is zero, cannot be rejected.
The p-value is a measure of the probability of obtaining a more extreme value of the test statistic than the observed value if the null hypothesis is true. A small p-value implies that the null hypothesis should be rejected. When the p-value is less than 0.05, it means that the estimated value of the explanatory variable is significant at the 5%-level.
The confidence interval is a range of values that is expected to include the true value of the population parameter with a specified level of confidence. A 95% confidence interval means that the true value of the population parameter lies within the range 95% of the time. The 95% confidence interval does not contain zero implies that the estimated value of the explanatory variable is statistically significant at the 5%-level since it suggests that the population parameter is different from zero at the 5%-level. Conversely, if the 95% confidence interval contains zero, the estimated value of the explanatory variable is not statistically significant at the 5%-level since it means that the population parameter is not different from zero at the 5%-level. Therefore, it is essential to examine the t-statistic, p-value, and confidence interval while conducting hypothesis testing to make an informed decision.
To leran more about hypothesis testing, refer:-
https://brainly.com/question/17099835
#SPJ11
Esto es una división por favor ayuda
El resultado de esta división es 0.010
¿Cómo solucionar la operación matemática?Para solucionar la operación matemática debemos realizar los siguientes pasos:
Como el 81 es menos que el 7593, debemos poner un cero en el cociente y agregarle un cero al 81, entonces quedaría 810 dividido 7593.Como el 810 sigue siendo menor que el 7593, añadimos coma (,) y otro cero en el 810, entonces quedaría 8100 dividido 7593.Una vez tenemos el 8100 dividido 7593 realizamos la división, en este caso vemos cuántas veces cabe 7593 en 8100 y lo multiplicamos por ese número de veces (1).Una vez tenemos estos números a 8100 le restamos 7593 y obtenemos como resultado 507.Nuevamente, 507 es menos que 7593, entonces debemos agregar otro cero en el cociente para conocer las siguientes cifras decimales que falta.Ahora debemos averiguar cuántas veces cabe 7593 en 50700. Este número cabe 6 veces, entonces lo multiplicamos por 6 y luego restamos 50700 - 7593.Para conocer las siguientes cifras decimales debemos ir agregando un número cero en el resto para poder realizar las restas y seguir la división.Aprenda más sobre división en: https://brainly.com/question/24592547
#SPJ1
HELP
what is the output of the function when the input is 0?
Answer: The input is the x variable and the output is the y variable, so the equation is y=0 which is just a line on the x axis
**the thicker line in the picture is what the line should look like.
Subtraction property of equality
3
2
= k + 11
2
3
2
− 11
2
= k + 11
2
− 11
2
Addition property of equality
3
2
+ (− 11
2
) = k + 11
2
+ (− 11
2
)
The solution is k =
-7
-4
StartFraction 13 over 2 EndFraction
StartFraction 15 over 2 EndFraction
Subtraction property of equality is B, -4.
What is subtraction property?
The Subtraction Property of Equality states that if two expressions are equal, then the same expression minus any number will also be equal. In other words, if a = b, then a - c = b - c. This property is important in algebra, as it allows us to solve equations by subtracting the same number from both sides. This property is also known as the Subtraction Property of Equality or the Subtraction Property of Equality of Two Values. It is an important concept that allows us to solve equations, and it is used in all levels of mathematics.
To know more about subtraction property
https://brainly.com/question/1658463
#SPJ1
I need this answered asap please help
Answer:
C. 81π cm³
Step-by-step explanation:
The volume of the cylinder is found using the volume formula:
V = πr²h
where r is the radius and h is the height.
__
applicationFor the cylinder shown, the radius is r = 3 cm, and the height is h = 9 cm. Then the volume is ...
V = πr²h = π(3 cm)²(9 cm) = 81π cm³ . . . . matches choice C
indicate if each of the following is a quadratic function or not
Answer:
B and C are Quadratic Functions.
Step-by-step explanation:
Hello!
The degree in a quadratic function is 2, so a term can only be raised to the second degree for it to be quadratic.
The first option doesn't have a second degree, so it is not quadratic.
The second option has x raised to the second degree, so it is quadratic.
The third option has a term raised to the second degree, so it is quadratic.
The third option has a term raised to the 3rd degree, so it is not quadratic.