Answer:
El valor de x es igual a 20 o x = 20.
Step-by-step explanation:
Lo primero que se debe saber es que dos ángulos complementarios suman un ángulo recto o 90º.
Supongamos que el valor de un ángulo [tex] \\ \alpha[/tex] y un ángulo [tex] \\ \beta[/tex] valen:
[tex] \\ \alpha = 2x + 10[/tex] [1]
[tex] \\ \beta = x + 20[/tex] [2]
Como la suma de [tex] \\ \alpha + \beta = 90[/tex] [3]
Entonces
[tex] \\ \alpha + \beta = (2x + 10) + (x + 20) = 90[/tex]
Sumamos los factores comunes entre si:
[tex] \\ (2x + x) + (10 + 20) = 90[/tex]
Para la primera expresión debemos recordar que se suman sólo los coeficientes. Así:
[tex] \\ (2 + 1)x + (10 + 20) = 90[/tex]
[tex] \\ 3x + 30 = 90[/tex]
Para despejar la incógnita x, debemos tener en cuenta que una igualdad no se altera si se suma, se resta, se multiplica o divide un mismo valor a cada lado de ella. Por esta razón, para despejar 3x, lo primero que podemos hacer es sumar -30 a cada lado de la expresión (lo que es igual a restar 30 a cada lado de la misma). Así tenemos:
[tex] \\ 3x + 30 - 30 = 90 - 30[/tex]
[tex] \\ 3x + 0 = 90 - 30[/tex]
[tex] \\ 3x = 60[/tex]
Ahora dividimos cada miembro de la igualdad entre 3 (o multiplicamos cada lado de la igualdad por [tex] \\ \frac{1}{3}[/tex] ):
[tex] \\ \frac{3}{3}x = \frac{60}{3}[/tex]
Como sabemos que:
[tex] \\ \frac{3}{3} = 1[/tex]
Entonces:
[tex] \\ 1*x = \frac{60}{3}[/tex]
[tex] \\ x = \frac{60}{3}[/tex]
[tex] \\ x = 20[/tex]
De esta manera, el valor de x es igual a 20 o x = 20.
Lo anterior lo podemos comprobar considerando las ecuaciones [1], [2] y [3]. Así tenemos que:
[tex] \\ \alpha = 2x + 10[/tex] [1]
Sustituimos x por el valor de 20:
[tex] \\ \alpha = 2*20 + 10 = 40 + 10 = 50[/tex]
[tex] \\ \beta = x + 20[/tex] [2]
Hacemos lo mismo para [2]:
[tex] \\ \beta = 20 + 20[/tex]
[tex] \\ \beta = 40[/tex]
De esta manera:
[tex] \\ \alpha + \beta = 90[/tex] [3]
[tex] \\ 50 + 40 = 90[/tex]
Please help if you can
Thank you!!
Answer:
0.67
Step-by-step explanation:
2/6 is shaded red, and 4/6 is shaded white. 4/6 is simplified to 2/3, 2/3 as a decimal is 0.67.
PLEASE HELP FOR 13 POINTS AND BRAINLIEST! ;)
Answer:
No because even though you aren't actually picking the exact people yo do and don't wanna survey but your only surveying those who buy hot lunches when in order to get accurate data, you have to survey everyone who bought hot and cold lunches from the school cafeteria.
How long does it take a runner to run 12km if he is running at a speed of 7km/h
Answer:
about an hour and 42 minutes
Step-by-step explanation:
Time=Distance/Speed
Answer:
1.714285714285714 hours
Step-by-step explanation:
12/7
A number K increased by 10 is the same as 24 what’s the equation
Final answer:
The equation for finding the value of K when increased by 10 equals 24 is K + 10 = 24, and solving it results in K = 14.
Explanation:
A number K increased by 10" is represented by K+10.
"Is the same as" means equal to.
"24" is represented by 24.
Therefore, we can express this relationship as an equation where the left side represents "a number K increased by 10" and the right side represents "24."
The equation to represent the situation where a number K increased by 10 equals 24 is:
K + 10 = 24
This equation signifies that when the unknown number K is augmented by 10, the resultant value equals 24. It serves as a concise representation of the given condition, enabling the determination of K by solving the equation.
Through such algebraic manipulation, one can discern that the value of K:
K = 24 - 10 = 14
Help me find my answer please
Answer:
f = - [tex]\frac{19}{7}[/tex]
Step-by-step explanation:
Given f varies directly with m then the equation relating them is
f = km ← k is the constant of variation
To find k use the condition that f = - 19 when m = 14, thus
- 19 = 14k ( divide both sides by 14 )
- [tex]\frac{19}{14}[/tex] = k
f = - [tex]\frac{19}{14}[/tex] m ← equation of variation
When m = 2, then
f = - [tex]\frac{19}{14}[/tex] × 2 = - [tex]\frac{19}{7}[/tex]
A polygon with 4 sides is shown with its exterior angles. The exterior angles are 140 degrees, 34 degrees, 56 degrees, and x degrees. What is the value of x?
Given:
Given that the polygon has 4 sides with its exterior angles.
The exterior angles are 140°, 34°, 56° and x°
We need to determine the value of x.
Value of x:
We know that, the exterior angles of a polygon add up to 360°
Thus, we have;
[tex]140^{\circ}+34^{\circ}+56^{\circ}+x=360^{\circ}[/tex]
Adding the terms, we have;
[tex]230^{\circ}+x=360^{\circ}[/tex]
Subtracting both sides of the equation by 230, we get;
[tex]x=130^{\circ}[/tex]
Thus, the value of x is 130°
Final answer:
The value of the unknown exterior angle x in the quadrilateral is 130 degrees, calculated by subtracting the sum of the given exterior angles from the total sum of 360 degrees.
Explanation:
The student is asking about finding the value of an unknown exterior angle (x) in a quadrilateral. In geometry, the sum of the exterior angles of any polygon always equals 360 degrees. Given that three of the exterior angles are provided as 140 degrees, 34 degrees, and 56 degrees, we can find the value of the unknown exterior angle x degrees by subtracting the sum of these provided angles from 360 degrees.
First, we add the given angles:
140 degrees + 34 degrees + 56 degrees = 230 degrees
Next, we subtract the total from 360 degrees to get the value of x:
360 degrees - 230 degrees = 130 degrees
Therefore, the value of x, the unknown exterior angle of the quadrilateral, is 130 degrees.
Variable expression:
Four times the result of 3 times a number subtracted from 2.
Answer:
8-12n
Step-by-step explanation:
We can name "a number," "n."
4(2-3n)
Distribute.
4*2=8
4*-3n=-12n
8-12n
What is the area of the SHADED sector of the circle?
Answer:
565.2 units²
Step-by-step explanation:
(162/360) × pi × r²
(162/360) × 3.15 × 20²
565.2
What is the probability that a person older than 35 has a hemoglobin level less
Answer:
has a hemoglobin level between 9 and 11 is 0.284.
Step-by-step explanation:
Which expression is equivalent to 81 Superscript one-third?
Answer:
A. on edge
Step-by-step explanation:
Answer:
A) 3[tex]\sqrt[3]{3}[/tex]
Step-by-step explanation:
Hope this help, I got it right on Edge.
Select statistical or not statistical do you classify each question.
Answer:
statistical, not statistical, not statistical
Step-by-step explanation:
Answer:
1. statical, 2. not statical, 3. not statical
Step-by-step explanation:
Select the correct answer.
Kendall rented a truck to move some of his household items. The figure shows the inside dimensions of the truck.
14
ft.
What is the volume of the truck?
621 1 cu.ft.
558
cu.ft
1,116
cu.ft
494 1 cu.ft.
Answer:
6211 c.u. ft.
Step-by-step explanation:
Answer:
621 11/16 cu. ft.
Step-by-step explanation:
This figure shows one way to decompose the shape.
Which equation can be used to find the volume of this solid? A rectangular prism with a length of 5 centimeters, width of 4 centimeters, and height of 2 centimeters.
HHHHHHHHHHHHHEEEEEEEEEEEELLLLLLLLLLLLPPPPPPPPPPP MMMMMMMMMEEEEEEEEEEEEEEEE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
I think its A
Step-by-step explanation:
Answered a question like that in my test
Answer:
A) V=2x4x5
Step-by-step explanation:
because im a helping hand
How many degrees are in the period of y = cos (3x)
Answer:
Step-by-step explanation:
cos(3x)=cos (3x+2π)=cos (3x+360)
period for 3x=360°
period=360/3=120°
Final answer:
The period of the function y = cos(3x) is π/3 or 120 degrees, since the coefficient '3' in the function's argument compresses the usual period of cos(x) by a factor of three.
Explanation:
The period of a trigonometric function represents the length of one complete cycle of the function. For the function y = cos(3x), we are dealing with a cosine function that has been horizontally compressed by a factor of 3. The standard period of the cosine function is 2π radians. However, the presence of the 3 within the argument of the cosine function means that the period is reduced by a factor of 3, because the function completes its cycle 3 times faster than the standard cosine function.
To find the period of the given function, we divide the standard period of the cosine function by the coefficient of the x variable inside the function:
Standard period of cos(x) = 2πPeriod of cos(3x) = ÷ 3Calculated period = 2π / 3Therefore, the period of y = cos(3x) is π/3 or approximately 120 degrees.
what two fractions are between 6/9 and 7/9
I need help guys I don’t understand this
Answer:
3:2 Three boxes next to two boxes.
Step-by-step explanation:
A ratio is like comparing things to others. Like if I had 3 cookies and you had 2 cookies the ratio would be 3:2. Three boxes next to two boxes.
The radius of a circle is 3 m. Find its area to the nearest tenth
Answer:
28.26
Step-by-step explanation:
3^2*3.14 = 28.26
To find area you square the radius and then multiply by 3.14 or π pi
Rounded to the nearest tenth, the area of the circle is approximately 28.3 square meters.
To find the area of a circle, we can use the formula:
Area = π (radius)²
Given that the radius is 3 meters, we substitute this value into the formula:
Area = π(3²)
Area = 9π
Since we are asked to round the area to the nearest tenth, we can approximate the value of π as 3.14:
Area ≈ 3.14 x 9
Area ≈ 28.26
Rounded to the nearest tenth, the area of the circle is approximately 28.3 square meters.
The area of a circle is calculated by multiplying the square of its radius by the mathematical constant π (pi). In this case, with a radius of 3 meters, the area is approximately 28.3 square meters. Rounding the decimal to the nearest tenth gives us the final result of 28.3 square meters.
To learn more about the circle;
https://brainly.com/question/29142813
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What is the Vertex? y = 3x ^2 + 12x − 10
Answer: -2,-22
Step-by-step explanation:
what is the value of x?
(geometry question)
Given:
The interior angles of the triangle are 44°, 3t - 45° and x - 15°
The exterior angle of the triangle is 4t - 29°
We need to determine the value of x.
Value of t:
The value of t can be determined using the exterior angle theorem.
Applying the theorem, we have;
[tex]44+3t - 45=4t-29[/tex]
[tex]3t - 1=4t-29[/tex]
[tex]-t - 1=-29[/tex]
[tex]-t=-28[/tex]
[tex]t=28[/tex]
Thus, the value of t is 28.
Value of x:
The exterior angle 4t -29 and the interior angle x - 15 are linear pairs.
Since, linear pairs add up to 180°, we have;
[tex]4t-29+x-15=180[/tex]
Substituting t = 28, we get;
[tex]4(28)-29+x-15=180[/tex]
[tex]112-29+x-15=180[/tex]
[tex]x+68=180[/tex]
[tex]x=112[/tex]
Thus, the value of x is 112.
What type of number can be written as a fraction p/q, where p and q are
integers and qis not equal to zero?
Answer:
Rational Numbers.
Step-by-step explanation:
These include terminating and repeating decimals. Numbers that can't be expressed as the type of fraction you've described are called Irrational Numbers.
A rectangle has a length of x + 9 and a width of x - 1. Which equation below
describes the perimeter, P, of the rectangle in terms of x? *
A: P=4x+16
B: P=2x+8
C: P=x+8
D: P=x^2+8x-9
Answer:
A
Step-by-step explanation:
P = 2 (W+L)
P = 2 (x+9+x-1)
P = 2 (2x+8)
P = 4x+16
The equation P = 4x+16 describes the perimeter, P, of the rectangle in terms of x. The correct answer would be option (A).
What is the perimeter of the rectangle?The perimeter of a rectangle is defined as the addition of the lengths of the rectangle's four sides.
The perimeter of a rectangle = 2(L+W)
Where W is the width of the rectangle and L is the length of the rectangle
A rectangle has a length of x + 9 and a width of x - 1.
P = 2 (L + W) ....(i)
Substitute the values of L = x + 9 and W = x-1 in the above equation,
P = 2 (x+9+x-1)
P = 2 (2x+8)
P = 4x+16
Thus, the equation P = 4x+16 describes the perimeter.
Hence, the correct answer would be an option (A).
Learn more about the Perimeter of the rectangle here:
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A school bought pens, each costing $1, and pencils, each costing $0.5. The cost of the whole purchase was $220. How many pens and pencils were purchased if there were 80 more pencils than pens?
Answer:
120 pens and 200 pencils
Step-by-step explanation:
Let the number of pencils bought be x while pens will be y.
Cost
Considering that a pen costs $1 then for y pens, the cost will be y*$1=$y
The pencils cost $0.5 then for x pencils the cost will be $0.5*x=$0.5x
Total cost is $220 hence expressed as
0.5x+y=220
Quantity
Since the number of pencils, x were more than number of pens, y by 80 pieces then
x=80+y
Since we initially had the equation 0.5x+y=220 then we substitute x with 80+y hence
0.5(80+y)+y=220
40+0.5y+y=220
1.5y+40=220
1.5y=220-40=180
y=180/1.5=120
Since x=y+80 and y is found to be 120 then
x=120+80=200
help plz
6yd - 2ft 7in
Identify the x- and y-intercepts of the graph
Answer:
see explanation
Step-by-step explanation:
The x- intercept is where the graph crosses the x- axis, that is
( [tex]\frac{1}{3}[/tex], 0 )
The y- intercept is where the graph crosses the y- axis, that is
(0, 1 )
The table shows the length of hospital stay for 21 randomly selected adult patients. What is the interquartile range of this data?
To calculate it, first order your data points from least to greatest, then determine your first and third quartile positions by using the formulas (N+1)/4 and 3*(N+1)/4 respectively, where N is the number of points in the data set.
after you do that then say IQ=Q3-Q1
Answer:
8.5
Step-by-step explanation:
To calculate it, first order your data points from least to greatest, then determine your first and third quartile positions by using the formulas (N+1)/4 and 3*(N+1)/4 respectively, where N is the number of points in the data set.
after you do that then say IQ=Q3-Q1
i would be so greatful if someone can help me with this
A scenic overlook which extends over a ravine is shaped like a kite.
Find M
A) 105°
B) 102°
C) 51°
D) 204°
Answer:
b
Step-by-step explanation:
i did jajajajajajaja jajajajjaja
the measure of angle X is [tex]\( 104^\circ \).[/tex]
To calculate the measure of angle X in a kite-shaped scenic overlook, we'll follow these steps:
Write the equation representing the sum of the measures of all the angles in the kite, which is [tex]\( 360^\circ \).[/tex]
Identify the two angles that are equal in the kite, which are angles X and Z.
Write the equation representing the sum of these angles and the given angle measures.
Solve for the measure of angle X.
Now, let's perform the calculation:
Equation representing the sum of the measures of all the angles in the kite:
[tex]\[ \angle X + \angle Y + \angle Z + \angle W = 360^\circ \][/tex]
Identify the two equal angles:
Since the kite has two pairs of adjacent sides that are equal, the angles opposite these sides will be equal. So, [tex]\( \angle X = \angle Z \).[/tex]
Write the equation representing the sum of these angles and the given angle measures:
[tex]\[ \angle X + 40^\circ + \angle X + 112^\circ = 360^\circ \][/tex]
Solve for the measure of angle X:
[tex]\[ 2\angle X + 152^\circ = 360^\circ \] \[ 2\angle X = 360^\circ - 152^\circ \] \[ 2\angle X = 208^\circ \] \[ \angle X = \frac{208^\circ}{2} \] \[ \angle X = 104^\circ \][/tex]
So, the measure of angle X is [tex]\( 104^\circ \).[/tex]
The complete question is:
A scenic overlook which extends over a ravine is shaped like a kite.
Find mZX
A) 105°
B) 102°
C) 51°
D) 204°
Two negative integers are 5 units apart on the number line, and their product is 126. What is the sum of the two
integers?
-23
-5
9
14
Answer:
23
Step-by-step explanation:
here
9 and 14. are numbers
sum is 9 +14 = 23
2x+8y=4. x=−3y+5. substitution method
Your answer is Y= -3.
Answer:
(x, y) = (14, -3)
Step-by-step explanation:
You are given an expression for x, so it is convenient to use that to substitute for x.
2(-3y +5) +8y = 4
-6y +10 +8y = 4 . . . . . eliminate parentheses
2y = -6 . . . . . . . . . . . . subtract 10, collect terms
y = -3 . . . . . . . . . . . . . divide by 2
x = (-3)(-3) +5 = 14 . . . use the second equation to find x
The solution is (x, y) = (14, -3).
Nick cleans his room in 1 10 in a hour room for 3 minutes
This word problem doesn't make sense. Rephrase then I can solve. I believe you need units for the 110. I do not know what the 110 is.