Answer:
[tex]x=43[/tex]
Step-by-step explanation:
Corresponding angles are equal. It is implied that the two angles referred to in the triangles are equal, otherwise they should not be labelled as corresponding.
Therefore, we can set both equations equal to each other:
[tex]2x-5=81^{\circ}[/tex]
Add 5 to both sides:
[tex]2x=86[/tex]
Divide both sides by 2:
[tex]x=\frac{86}{2}=\boxed{43}[/tex]
Find a recursive rule for the nth term of the sequence.
-10, 2, 14, 26, ...
9514 1404 393
Answer:
a[1] = -10
a[n] = 12 + a[n-1]
Step-by-step explanation:
First differences are ...
2 -(-10) = 1214 -2 = 1226 -14 = 12A constant first difference of 12 means this is an arithmetic sequence. Each term is 12 more than the previous, so the recursive rule is ...
a[1] = -10
a[n] = 12 + a[n-1]
Consider the quadratic function:
f(x) = x2 – 8x – 9
Vertex: (StartFraction negative b Over 2 a EndFraction, f (StartFraction negative b Over 2 a))
Answer:
x=-b/2a=8/2=4
y=16-8*4-9=16-32-9= - 25
(4, - 25) ,,
Which of the following statements must be true about a rhombus?
The consecutive sides of a rhombus are parallel.
The diagonals of a rhombus are perpendicular.
The diagonals of a rhombus are congruent.
The opposite angles of a rhombus are supplementary.
Answer:
Step-by-step explanation:
The diagonals of a rhombus are perpendicular
Answer: Choice B) The diagonals of a rhombus are perpendicular
=============================================================
Explanation:
Let's go through the answer choices to see which are true statements, and which are false.
A) This is false because consecutive sides must meet up at a vertex point, or else they won't be next to each other. Consecutive sides can never be parallel (regardless what type of quadrilateral we're dealing with, or any polygon for that matter). In other words, consecutive sides share a common point on both segments, which is why they're not parallel. Instead, it should be phrased as "opposite sides of a rhombus are parallel" which is a true statement. B) This is true. If the diagonals are perpendicular, then we could have either a kite or a rhombus. C) This is false. If the diagonals are congruent, then we have a rectangle. We could have a square (which is both a rhombus and a rectangle at the same time), but that's only for specific cases. In a more general sense, we could have a non-square rectangle that isn't a rhombus. D) This is false. A rhombus is a type of parallelogram. For any parallelogram, the opposite angles are always the same measure. The only time the angles are supplementary is when we have a rectangle; otherwise, the angles won't add to 180.Help!!!!!!!!!!!!!!!!!!
Determine the area of the triangle.
67.7 square units
777.2 square units
135.5 square units
5.9 square units
Answer:
cuadradas 777,2 unidades
Step-by-step explanation:
Answer:
67.7
Step-by-step explanation:
i just took the quiz
Find x if : (-3/7)^-19 ÷ (-3/7)^8 = (-3/7)^- 2x+1
Answer:
x=14
Step-by-step explanation:
(-3/7) power (-19-8)= (-3/7) power -2x+1
-19-8= -2x+1
-27= -2x+1
-27-1= -2x
-28= -2x
x=28/2
x=14
Help needed over here
Answer:
(b) [tex]x \ge -3[/tex]
Step-by-step explanation:
Given
[tex]g(x) = \sqrt{x + 3}[/tex]
Required
The domain
For [tex]g(x) = \sqrt{x + 3}[/tex] to be defined, the following must be true
[tex]\sqrt{x + 3} \ge 0[/tex]
Square both sides
[tex]x + 3 \ge 0[/tex]
Subtract 3 from both sides
[tex]x \ge -3[/tex]
Hence, the domain is:
(b) [tex]x \ge -3[/tex]
For which equations below is x = -3 a possible solution? Select three options.
|x|=3
|x|=-3
|-x|=3
|-x|=-3
-|x|=-3
Answer:
-|x|=-3
|x|=-3
|-x|=-3
Step-by-step explanation:
Answer:
Only -lxl = -3 works
Step-by-step explanation:
The other options don't work because they all have numbers inside of the absolute value brackets. You would always get a positive end value when the absolute value equation is applied.
The last one is the only one that works because the negative is outside of the absolute value bracket. Therefore, if you plug in 3 for x, it will give you -3.
Need help with this will mark brainliest
Answer:
[tex]n=\frac{S}{180}+2[/tex]
Step-by-step explanation:
Hi there!
[tex]S=(n-2)180[/tex]
We can isolate n by performing inverse operations on both sides to cancel out values.
First, divide both sides by 180 to isolate n-2:
[tex]\frac{S}{180}=n-2[/tex]
Now, add 2 to both sides to isolate n:
[tex]\frac{S}{180}+2=n\\n=\frac{S}{180}+2[/tex]
I hope this helps!
Given the graph of f '(x), the derivative of f(x), which of the following statements are true about the graph of f(x)? (4 points)
2.
Given the graph of f '(x), the derivative of f(x), which of the following statements are true about the graph of f(x)?
Graph is parabola with x intercepts at x equals 0 and 3 and vertex at x = 1
I.The graph of f is decreasing on the interval (0, 2).
II. The graph of f is increasing on the interval (1, infinity).
III. The graph of f has point of inflection at x = 0.
a I only
b II only
c III only
d None of these are true
(I) is true, since the plot shows f'(x) is negative on (0, 2)
(II) is false, since f'(x) is negative on (1, 2), so f(x) is decreasing over this interval
(III) is false. An inflection point can only occur at a point x if f''(x) is zero or doesn't exist. But at x = 0, the tangent line to f'(x) clearly has a negative, non-zero slope.
This makes A the correct choice.
John wants to study whether a larger number of laptops available to students at his school lead to higher grades. Choose the independent and dependent variable. Group of answer choices Independent variable: Grades; Dependent variable: Number of laptops Independent variable: Number of laptops; Dependent variable: Grades Independent variable: John; Dependent variable: Grades Independent variable: Grades; Dependent variable: John
Answer:
Independent variable: Number of laptops
Dependent variable: Grades
Step-by-step explanation:
According to the Question,
Given That, John wants to study whether a larger number of laptops available to students at his school lead to higher grades.The independent variable is the cause. Its value is independent of other variables in your study. Independent variable: Number of laptops The dependent variable is the effect. Its value depends on changes in the independent variable. Dependent variable: GradesSi A es tu edad, la tasa de pulsos máxima que deberías mantener durante actividades aeróbicas es de 0.88 (220-A). ¿Cúal es la tasa de pulsos máxima que deberías mantener si tú estuvieras en el rango de los 20 años?
Respuesta:
176
Explicación paso a paso:
Dado :
La frecuencia máxima del pulso que se debe mantener durante las actividades aeróbicas viene dada por:
0,88 (220-A); donde A = edad
Para una persona de 20 años
Supongamos que la edad es de 20 años; A = 20
Poniendo A = 20 en la ecuación;
0,88 (220 - A); A = 20
Frecuencia de pulso máxima:
0,88 (220 - 20)
0,88 (200)
= 176
La frecuencia de pulso máxima es 176
10 − 3(2a − 1) = 3a + 1
Answer:
4/3 =a
Step-by-step explanation:
10 − 3(2a − 1) = 3a + 1
Distribute
10 -6a +3 = 3a+1
Combine like terms
13 -6a = 3a+1
Add 6a to each side
13-6a+6a = 3a+6a +1
13 = 9a+1
Subtract 1 from each side
13-1 = 9a+1-1
12 = 9a
Divide by 9
12/9 = 9a/9
4/3 =a
a = 4/3
Step-by-step explanation:10 - 3( 2a - 1 ) = 3a + 1
use the distributive property to multiply -3 by 2a -110 - 3 × 2a -3 × -1 = 3a + 1
10 - 6a + 3 = 3a + 1
collect like terms10 + 3 - 6a = 3a + 1
13 - 6a = 3a + 1
Subtract 3a from both sides13 - 6a - 3a = 3a - 3a + 1
13 - 9a = 1
subtract 13 from both side13 - 13 - 9a = 1 - 13
- 9a = - 12
divide both side by -9-9a / - 9 = - 12 / - 9
a = 4/3
Help 10 points please
Answer:
R
The radius is the height from the bottom to the top.
Squares of Binomials
Please Help
x^3 - 3mx^2 + 3(2m - 1)+1
Answer:
21e
jjjjjjjoiooooooooooooooooooooimm
PLS HELP ASAP¡!!!
A P E X MATH
Answer:
Step-by-step explanation:
Is there an image to see?
Please help asap 15 points that's more than usual just solve the question.
Answer:
1/n^2 is the answer......
Solve each equation. Round to four decimal places.
e^x=8
Answer:
x ≈ 2.0794
Step-by-step explanation:
Given
[tex]e^{x}[/tex] = 8 ( take ln of both sides )
ln [tex]e^{x}[/tex] = ln 8
x lne = ln 8 [ lne = 1 ]
x = ln 8 ≈ 2.0794 ( to 4 dec. places )
Answer:
x ≈ 2.0794
Step-by-step explanation:
[tex] \small \sf \: e {}^{x} = 8[/tex]
Take the natural logarithm of both side of equation
[tex]\small \sf \: In ( e {}^{x} ) = In ( 8 )[/tex][tex] \small \sf \: Use \: In(e {}^{x} ) = x \: to \: simplify \: the \: expression.[/tex]
x = In( 8 )Write the number in exponential form.
x = In(2³)Use In(aⁿ) = n × In ( a ) to transform the expression.
x = 3In( 2 ) ≈ 2.07944Round to four decimal places = 2.0794
Please help me with this one
Answer:
240
Step-by-step explanation:
well do *
so 8x6x5 = 240 there's your answer
Answer:
[tex]S.A=1/2(8+8)(9^{2})+8\times 6+8\times 5[/tex]
[tex]=26\times2+48+40[/tex]
[tex]=140 ~cm^{2}[/tex]
-------------------------
HOPE IT HELPS
HAVE A GREAT DAY!!
in a survey, a group of students were asked to name their favorite elective class. There were 15 students who chose “other."
How many students participated?
Answer:
hii
Step-by-step explanation:
sry but it is an incomplete question
don't mind write the class and chapter name and subject name.
okk Gudni8
(PLS HELP NOW WILL GIVE BRINIEST!!!!!) A figure is formed by two pairs of parallel sides that are the same length. Which type of figure is it?
A.
hexagon
B.
square
C.
pentagon
D.
triangle
Answer: B. Square
Step-by-step explanation:
All sides of a square have the same lengthAll four angles of a square = 90°A square has two parallel sidesThe answer is B.), because if you have two pairs of parallel sides that means it looks like a square 1. || 2. _
_
- Chilio
Type the correct answer in the box. Simplify this expression: -2x + 3 – (5 – 6x).
Answer:
4x - 2
Step-by-step explanation:
Given
- 2x + 3 - (5 - 6x) ← distribute parenthesis by - 1
= - 2x + 3 - 5 + 6x ← collect like terms
= 4x - 2
The expression -2x + 3 – (5 – 6x) simplifies to 4x - 2.
What is the correct way of simplifying an expression ?The correct way of simplifying expressions is first solving what are inside the brackets.Then solving divisions then multiplications then additions and last subtractions.This way of solving order has a short name which is BODMAS order.
According to the given question we have to simplify the expression
-2x + 3 – (5 – 6x).
First we'll solve what are inside the brackets.
-2x + 3 - 5 + 6x. (negative sign distributed to get a positive).
= 4x - 2.
= 2(2x - 1).
learn more about simplifying expressions here :
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How can I solve this problem
Answer:
x = 27
Step-by-step explanation:
I'm going to use letters to label the parts of the triangle while explaining how to solve for x:
Angle A = x (bottom left angle of the triangle)
Angle B = 4x (top angle of the triangle)
Angle C = empty angle (bottom right angle of the triangle)
Angle D = 3x + 54 (angle outside of the triangle)
A line has a angle measurement of 180 degrees.
Angle C & D make up the line, meaning Angle C + Angle D = 180 degrees.
To find Angle C, we would subtract Angle D's equation from 180 like this:
180 - (3x + 54)
Now Angle C equals 180 - (3x + 54)
Now we have all the angles inside the triangle. To find x, we are going to sum up Angle A, B, & C and set it equal to 180.
We set the equation to 180 because a the sum of the interior angles for a triangle is 180.
The equation looks like this:
(180 - (3x + 54)) + 4x + x = 180
Now we use basic algebra to solve it:
(180 - (3x + 54)) + 4x + x = 180
(distribute the - to (3x + 54))
180 - 3x - 54 + 4x + x = 180
(add like terms on the left side of the equation)
126 + 2x = 180
(subtract 126 from both sides)
2x = 54
(divide both sides by 2)
x = 27
To prove this answer is correct, plug it back in the original equation and you'll see that it ends up equaling 180, which is the sum of interior angles for triangle.
Hope it helps (●'◡'●)
If the measure of < A is 36 °, and the measure of < B is 54 ° , then < A and < B are ______.
Select one:
a. complementary angles
b. congruent angles
c. supplementary angles
d. adjacent angles
Answer:
A
Step-by-step explanation:
Two angles whose sum is 90° are complementary angles.
∠ A + ∠ B = 36° + 54° = 90°
Then ∠ A and ∠ B are complementary angles
The solution is: If the measure of < A is 36 °, and the measure of < B is
54 ° , then < A and < B are a. complementary angles
What is an angle?In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. The two rays are called the sides of an angle, and the common endpoint is called the vertex.
We know that, a ray is a line that continues on forever inn one direction with a point at it's start.
Here, we have,
Two angles whose sum is 90° are complementary angles.
∠ A + ∠ B
= 36° + 54°
= 90°
so, we get,
Then ∠ A and ∠ B are complementary angles
Hence, The solution is: If the measure of < A is 36 °, and the measure of < B is 54 ° , then < A and < B are a. complementary angles
To learn more on angle click:
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Three less than the product of a number and six is twenty seven
Write an equation to represent the sentence:
Answer:
let the number be a
product of a number and six = 6 times a=6a
three less than the product of a number= 6a-3
then the full equation will be 6a-3=27
the a oranial price of a skate broad was reduced by 15 dollars .the new price is 49 dollars if p=the stakebroads oranail price in dollars what mathematical sentence expresses the information
a.49-p=15
b.15-p=49
c.15+p=49
d.p-15=49
Answer:
d)
Step-by-step explanation:
We will get the new price by subtracting the reduction price from the original price.
Original price - reduced price = New price
p - 15 = 49
Answer:
Option D
Step-by-step explanation:
p - 15 = 49
Option D is correct answer
Which choice is equivalent to the product below for acceptable values of X?
Vx+2 • Vx-2
Answer:
The answer is D.
Step-by-step explanation:
a) On the grid draw lines to show
the region satisfied by the three
inequalities
y = x + 1
Inequalities are used to represent unequal expressions
How to determine the grid linesThe inequality is given as;
[tex]y \ge x + 1[/tex]
The above inequality means that the upper part of the graph is shaded, and the line of the graph is a closed line
See attachment for the grid that represents the inequality [tex]y \ge x + 1[/tex]
Read more about inequality at:
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Draw an angle and then draw the opposite ray to one of its sides to form a linear pair. Find the measure of the angle formed by the angle bisector of the original angle and the opposite ray if the original angle bisector measures 50 degrees, 90 degrees, and 150 degrees If the angle equals 50 degrees then the measurement of the required angle is
Answer:
1. 155 degree
2. 135 degree
3. 105 degree
Step-by-step explanation:
1. Let the original angle is 50 degree, the opposite angle which forms a linear pair is 180 - 50 = 130 degree.
Now the angle bisector is 25 degree from the original ray , the angle between the bisector and the opposite ray is 130 + 25 = 155 degree.
2. Let the original angle is 90 degree, the opposite angle which forms a linear pair is 180 - 90 = 90 degree.
Now the angle bisector is 45 degree from the original ray , the angle between the bisector and the opposite ray is 90 + 45 = 135 degree.
3. Let the original angle is 150 degree, the opposite angle which forms a linear pair is 180 - 150 = 30 degree.
Now the angle bisector is 75 degree from the original ray , the angle between the bisector and the opposite ray is 30 + 75 = 105 degree.