Answer:
AB is mid-segment of this trapezoid, then we have:
2 x AB = DG + EF
=> 2 x 12 = 5x - 4 + 8x + 2
=> 24 = 13x - 2
=>13x = 26
=> x = 2
=> Option A is correct
Hope this helps!
:)
4x² - 5x + 3y + 6
The coefficient in the first term is __?
The constant is __?
There are __? terms in this expression.
The variable in the third term is __?
Answer:
The coefficient in the first term is 4
The constant is 6
There are 4 terms in this expression
The variable in the third term is y
Step-by-step explanation:
The constant is 6 because it is the only term without a variable, therefore the one term that will stay the same/remain constant.
The first term is 4x^2, the second term is -5x, the third term is 3y, and the fourth term is 6.
The variable in the first term is x^2, therefore the coefficient of x^2 is 4.
(Pic) How many tablets, please help!
Show steps please
The number of tablets that should be taken each day by the patient who needs Synthroid is 1 tablet.
How to find the number of tablets ?To find the number of tablets of Synthroid that should be taken, you convert the requirements from micrograms ( μg ) to milligrams ( mg).
1 milligram = 1, 000 micrograms ( μg )
25. 0 μg in milligrams is therefore:
= 25 / 1, 000
= 0. 025 mg
This means that the number of tablet to take is:
= Mg requirement / Mg of tablet
= 0. 025 / 0. 025
= 1 tablet
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find the value of x. Pregunta matemática
Answer:
Ejercicios Resueltos
ANGULOS
1. Si el complemento de ángulo x es 2x, ¿Cuál es el valor de x en
grados?
Solución:
2x x 90 += °
3x 90
x 90 / 3
x 30
= °
= °
= °
2. Si el suplemento del ángulo x es 5x, ¿Cuál es el valor de x?
Solución:
5x+x=180
6x=180
x=180 /6
x=30
°
°
°
°
3- Determínese los dos ángulos x e y, cuya suma es 90 y cuya
diferencia es 10 .
°
°
Solución:
-Planteamos el sistema de ecuaciones:
x y 90
x y 10
+= °
−= °
-Resolvemos el sistema. Mediante el método de suma y resta
obtenemos:
2x 100
x 100 / 2
x 50
= °
= °
= °
-Hacemos la sustitución del valor encontrado de x en la primera
ecuación: 50 y 90
y 90 50
y 40
°+ = °
= °−
= °
°
∴La solución al problema es x 50 , y 40 =°= °
°
4. Hállense dos ángulos complementarios tales que su diferencia sea
30° .
Solución:
-Planteamos el sistema de ecuaciones:
x y 90
x y 30
+= °
−= °
-Resolvemos el sistema. Mediante el método de suma y resta
obtenemos:
2x 120
x 120 / 2
x 60
= °
= °
= °
-Hacemos la sustitución del valor encontrado de x en la primera
ecuación:
60 y 90
y 90 60
y 30
°+ = °
= °−
= °
∴La solución al problema es x 60 , y 30 = °= °
°
5. Hállense dos ángulos suplementarios tales que el uno sea 20 mayor
que el otro.
°
Solución:
-Planteamos el sistema de ecuaciones:
x y 180
x y 20
+= °
=+ °
-Resolvemos el sistema:
(y 20 ) y 180
2y 180 20
2y 160
y 80
+ °+ =
= °− °
= °
= °
-Hacemos la sustitución del valor encontrado de y en la primera
ecuación: x 80 180
x 180 80
x 100
+ °=
= °−
= °
°
°
∴La solución al problema es:
x = °= ° 100 , y 180
TRIANGULOS
1.- ¿Cuánto miden cada uno de los ángulos interiores del siguiente
triángulo?
Solución:
Nota: La suma de los ángulos interiores de los triángulos es
180° .
((( A B C 180 ++= °
3x 5x 4x 180 ++ = °
12x 180 = °∴( ( (( A 22.5 , B 52.5 , C 30 , CBR 127.5 = ° = ° =° = °
x 15 = °
∴( ( A 45 , B 75 ,C 60 =° =°= °
°
°
°
°
°
°
2.- ¿Cuánto miden cada uno de los ángulos del siguiente triángulo?
Solución
a) Ángulo extendido
( ( B CBR 180 + = Esto debido a que son ángulos suplementarios
(B 15x 60 180 + − °=
(B 180 60 15x = °+ °−
(B 240 15x = °−
b) Suma de los ángulos interiores del triángulo
((( A B C 180 ++=
3x (240 15x) 4x 180 + °− + =
7x (240 15x) 180 + °− =
− + °= 8x 240 180− =− 8x 160°
x 7.5 =
∴( ( (( A 22.5 , B 52.5 , C 30 , CBR 127.5 = ° = ° =° = °
3.- Escribe la definición de bisectriz del triángulo.
Es la semirrecta que biseca el ángulo, es decir, divide el ángulo
en dos ángulos congruentes.
4.- ¿Qué es la mediatriz de un triángulo?
La mediatriz de un lado de un triángulo (y en general de un
segmento de recta), es la recta perpendicular a ese lado en su
punto medio.
5.- ¿Que es la mediana de un triángulo?
La mediana de un triángulo, es el segmento de la recta que une
un vértice con el punto medio del lado opuesto.
CUADRILATEROS
1.- ¿Qué cuadrilátero tiene las dos diagonales iguales y sus lados son
iguales dos a dos?
Rectángulo
2.- Si los ángulos de un cuadrilátero miden, respectivamente, 80º, 110º
y 70º, ¿Cuánto medirá el ángulo que falta?
100º
3.- ¿Cuál es el paralelogramo que tiene las diagonales perpendiculares?
Rombo
4.- ¿Cómo se llama el cuadrilátero que tiene dos lados paralelos?
Trapecio
5.- Encuentra el área del paralelogramo que tiene 5cm de base y 3 de
altura
A b*a
A 5*3
A 15
=
=
=
POLÍGONOS 1.- Cuatro ángulos interiores de un pentágono valen respectivamente
110°, 90°, 85° y 125°. ¿Cuánto vale el quinto ángulo?
Solución:
Si la suma de los ángulos interiores de un polígono es:
180°*(n-2)=180°*(5-2) = 540°, a lo que le se le resta los
valores de los ángulos que se dieron, consecuentemente, el
quinto ángulo vale 130°.
2.- ¿Cuántos lados tiene, en cada caso, el polígono cuyos ángulos
interiores suman respectivamente 1080°, 900°, 1260°?
Solución:
Despejando de la fórmula el valor de n, tenemos que:
. 2
180
suma angulos n = ° + , y esto aplicado a cada valor de la suma de los
ángulos internos, obtenemos que los valores de n son 8, 7 y 9
respectivamente.
3.- ¿Cuánto vale cada ángulo exterior de un octágono regular?
Solución:
Aplicando el teorema de que la suma de los ángulos exteriores
de un polígono es 360°, entonces cada ángulo exterior vale
360°/8 = 45°
4.- Calcular los ángulos exteriores de un triángulo rectángulo que tiene
un ángulo agudo doble del otro.
Solución:
Se tiene que la suma de los ángulos interiores es
180°*(n-2)= 180° y éste a su vez es igual a 90° + x + 2x,
despejando x de 3x = 90°, x= 30°, entonces los ángulos
interiores son 30°, 60° y 90°, teniendo como ángulos exteriores
150°, 120° y 90°.
Step-by-step explanation:
HELPPPPP
What two rational expressions sum to 3x-2/x^2 - x -12. Enter your answer so that each rational expression is in simplified form
The two rational expressions that add to (3x - 2)/(x² - x - 12) is given as follows:
3x/(x² - x - 12) - 2/(x² - x - 12).
How to add fractions with the same denominator?When two fractions have the same denominator, we must simply add the numerators of the function.
Rational expressions are expressions that have the variable x in the denominator of the expression.
The denominator of the expression for this problem can be simplified as follows:
x² - x - 12 = (x - 4)(x + 3).
The terms of the numerator are:
3x and -2.
Hence the addition is given as follows:
3x/(x² - x - 12) - 2/(x² - x - 12).
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Sana works 40 regular hours per week at a local store. She earns $11.15 per hour and receives time-and-a-half pay
for each hour of overtime she works. Last week she worked 46 hours and received a gross pay of $512.90. This
amount is incorrect. How much does Sana's boss owe her?
Sana's boss owe her $36.60 wages more per week at a local store as a gross pay
Last week Sana worked 46 hours
So let us calculate her wages for the last week
For regular 40 hours she earns $11.15 per hour
Her earning for regulars 40 hours = 40× 11.15 = 446
Now we need to calculate her earning for overtime
She overworked for 46 hours less 40 hours= 6 hours
And for every overtime hour she gets one and a half times the original wages
Her overtime wages= 6 hours × $11.15 ×1.5times
= 6 × 11.15 × 1.5
=103.50
So her total earning of last week should be 446+ 103.50 which comes out to be $549.5
Sana is being paid only $512.90 which means Sana's boss owe her $36.60 more
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15. The cost of an article including 15% for taxes is
$138.00. What is the cost of the article without
taxes?
Answer:
$120
Step-by-step explanation:
Set the cost of the article pre-tax as x.
x + 0.15x = 138
1.15x = 138
x = 138/1.15
x = $120
Answer: the cost of the article without taxes is $120.
The required cost of the article without taxes is $120.
How to calculate unit price of something?Unit means 'single entity', the fundamental constructing block. Usually, it is 1 in mathematics and science.
Thus, unit price of something is price of 1 thing.
Thus, suppose we're taking about price of mangoes, then unit price will denote the price of 1 mango.
We have been given the cost of an article including 15% for taxes is $138.00.
Lets Set the cost of the article pre-tax as x.
x + 0.15x = 138
1.15x = 138
x = 138/1.15
x = $120
Therefore, the cost of an article including 15% for taxes is $138.00. the cost of the article without taxes is $120.
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i need help pls and ty! (giving all points away!
Answer:
its 2
Step-by-step explanation:
-4+6 and 4 is less than 6 and 6 is bigger than -4 so it be 2
Please look at the pic and help!!
Answer:
4x² + 22x - 12
Step-by-step explanation:
A = bh/2
A = (4x - 2)(2x + 12)/2
A = (8x² + 48x - 4x - 24)/2
A = (8x² + 44x - 24)/2
A = 4x² + 22x - 12
a) Write down the inequality for x that is shown on this line.
X
(2)
-5
-3
-2
0
1
3
4 5
N
2 < y < 6 where y is an integer.
b) Write down all the possible values of y.
(2)
c) Solve 3x + 7 2 x + 19
(3)
Total marks: 7
Answer:
a. x<3
b. 3,4,5,6
c.x>6
When Evelyn moved into a new house, she planted two trees in her backyard. At the time of planting, Tree A was 32 inches tall and Tree B was 16 inches tall. Each year thereafter, Tree A grew by 4 inches per year and Tree B grew by 8 inches per year.Graph each function and determine the height of both trees at the time when they have an equal height.
The height of both trees at the time when they have an equal height will be 48 inches.
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is that Evelyn planted two trees in her backyard. At the time of planting, Tree A was 32 inches tall and Tree B was 16 inches tall. Each year thereafter, Tree A grew by 4 inches per year and Tree B grew by 8 inches per year.
We can write the functions for each tree as -Tree {A} : y {A} = 4x + 32
Tree {B} : y {B} = 8x + 16
Refer to the graph attached. The point of intersection will give the height of both trees at the time when they have an equal height.The height of both trees at the time when they have an equal height will be 48 inches.Therefore, the height of both trees at the time when they have an equal height will be 48 inches.
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When can we say that the two triangles are congruent?
Two triangles are congruent if their corresponding sides are equal in length, and their corresponding angles are equal in measure.
What is congruent?
Congruent refers to things that are exactly the same size and shape. Even if we flip, turn, or rotate the forms, the shape and size should remain the same.
Here,
we have to prove when can we say that the two triangles are congruent.
SSS, SAS, ASA, AAS, and HL.
These tests describe combinations of congruent sides and/or angles that are used to determine if two triangles are congruent.
Hence, two triangles are congruent if their corresponding sides are equal in length, and their corresponding angles are equal in measure.
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HELPPPPPPPPP
Which expression represents the area of the rectangle
Answer:
D
Step-by-step explanation:
im pretty sure you multiply them together
Answer:
d: 8x2 + 30
Step-by-step explanation:
first multiply 8x by x and get 8x2 (eight x squared) and then multiply 10 x 3 and get 30 then put them together and get 8x2 + 30
A pair of shoes that normally cost $24 is 25% off. what is the selling price of the jeans?
Answer:
The selling price of the shoe is $18
Step-by-step explanation:
Hey there!
According to the question, the normal cost price of pair of shoes is $24 (i.e $24 is MP= marked price).
Also, there is 25% off. (i.e discount)
Now,
SP (selling price) = MP - discount% of MP
or, SP = 24 - 25% of 24
or, SP= 24 - 6
Therefore, the SP of the shoes is $18.
Hope it helps!
$18
The answer is $18
Anna has 7 baskets and some flowers . She has 5 fewer baskets than flowers. How many flowers Does Anna have
Answer:
Step-by-step explanation:
she has 12 flowers. if she has 5 fewer baskets than flowers then add 5 +7 and you get 12 your welcome
2-3(x+4)= 8
What’s the answer ?
Which of the following represents the area of a rectangle whose length is x − 7 and whose width is x + 12? (1 point) a.\x2+x − 84 x2− 84 x2− 5x − 84 x2− 84x + 5
Sphenathi stated that the distance from Bloemfontein to upington is 16.3 show all calculations whether his claim is correct
The distance between Bloemfontein and Upington is a distance of 582 kilometers. The distance between two cities may vary depending on the route taken, traffic, and other factors. The distance between these two cities is measured in a straight line, which may not be the actual road distance.
To determine the distance between Bloemfontein and Upington, we used the Haversine formula, which computes the shortest distance between two points on the surface of a sphere. We first begin by finding the latitude and longitude of the two cities.Bloemfontein is located at -29.1211° latitude and 26.2140° longitude.Upington is located at -28.4478° latitude and 21.2561° longitude.Using the Haversine formula, we can determine that the distance between the two cities is about 582 kilometers.Sphenathi's statement that the distance from Bloemfontein to Upington is 16.3 kilometers is incorrect. Perhaps they mistakenly calculated the distance between two points within the cities. They could also have made a typographical mistake while writing their statement. Therefore, the statement is false, and the actual distance between Bloemfontein and Upington is 582 kilometers.For such more question on longitude
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help me please please
Answer:
C? yikes if im wrong mb
Step-by-step explanation:
5/6 in simpliest, its C id have to assume
If k = -6, what is square root of k + 15?
Answer:
3
Step-by-step explanation:
k = 6
\(\sqrt{k - 15}\)
\(\sqrt{-6 + 15} = \\\)
√9 = 3
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
At the zoo for every six adore camel 05 baby camels there are a total of 44 adult and baby camels at the zoo
Using proportions, it is found that the table is completed as follows:
Original Ratio Number in the zoo
Baby camels 5 20
Adult camels 6 24
Total camels 11 44
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
At the zoo, for every 6 adult camels, there are 5 baby camels, hence, out of 11 camels, 5 are baby and 6 are adult.
Thus, out of 44 camels, we have that:
44/11 x 5 = 20, hence there are 20 baby camels.44/11 x 6 = 24, hence there are 24 adult camels.The table is:
Original Ratio Number in the zoo
Baby camels 5 20
Adult camels 6 24
Total camels 11 44
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Your question was incomplete, the complete question is-
At the zoo, for every 6 adult camels, there are 5 baby camels. There are a total of 44 adult and baby camels at the zoo.
Complete the table.
Original ratio Number in the zoo
Baby camels 5 ?
Adult camels 6 ?
Total camels ? 44
In a bag of beads there are 18 yellow beads, 3 green beads, and 3 orange beads. Which spinner could be used to simulate pulling a bead out of the bag without looking?
**HELP ASAP**
An Olympic-size swimming pool holds approximately 6×105 gallons of water. The capacity of this swimming pool is between which interval?
The capacity of this swimming pool is between B. 500 gallons to 1,000 gallons.
What is the capacity?Capacity refers to the product of the length, width, and height of a three-dimensional object or space.
The capacity of an object means the same as its volume.
Olympic-size swimming pools have the following standard dimensions:
Length = 50 m
Width = 25 m
Height = 2 m
Capacity of an Olympic swimming pool = 2,500 m³ (50 x 25 x 2)
= 660,000 gallons (2,500 x 1,000 ÷ 3.785)
An interval estimate shows the lower and upper limits.
6 x 105 gallons = 630 gallons
Thus, the capacity of the swimming pool is Option B.
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Question Completion with Answer Options:A. 100 gallons to 500 gallons
B. 500 gallons to 1,000 gallons
C. 1,000 gallons to 1,500 gallons
D. 1,500 gallons to 2,000 gallons
In the last several weeks, 66 days saw rain and 98 days saw high winds. In that same time period, 31 days saw both rain and high winds. How many days saw either rain or high winds?
133 days saw either rain or high winds.
What is Probability?Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.
Example: If an experiment has 'n' number of outcomes, the number of favorable outcomes can be denoted by x. The formula to calculate the probability of an event will be as follows:
Probability(Event) = Favorable Outcomes/Total Outcomes = x/n
P(r) = 66 days
P(w) = 98 days
P(both) = 31 days
P(r or w) = P(r) + P(w) - P(both)
P(r or w) = 66 + 98 - 31
P(r or w) = 133 days
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find the distance between the points (-4,5), (-12,5)
Answer:
d = 8
Step-by-step explanation:
For:
(X1, Y1) = (-4, 5)
(X2, Y2) = (-12, 5)
Distance Equation Solution:
d=(−12−(−4))2+(5−5)2−−−−−−−−−−−−−−−−−−−−√
d=(−8)2+(0)2−−−−−−−−−−√
d=64+0−−−−−√
d=6–√4
d=8
Therefore, the distance between (-4,5), (-12,5) is 8.
please help!! thank you!!!
Answer:
6 times 10 times 3.
Then divide by three, I hope that helps
When a 3-D figure cut to create a cross-section parallel to the base which direction is the perpendicular vertical or horizontal 
Answer:
When a 3D figure is cut to create a cross-section parallel to the base, the direction of the perpendicular is vertical. This means that the cross-section will be perpendicular to the base and will have a vertical orientation.
mickey is typing in the computer lab and typing at 23 words per minute if he types for 11 minutes how many words does he type
Answer:
253 wpm
Step-by-step explanation:
23*11 which is 253.
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Find the volume of this sphere use three
2916 ft³
Step-by-step explanation:Volume helps describe the amount of space that a shape takes up.
Volume of a Sphere
Volume describes the 3-dimensional size of a shape. Since volume is a 3-D measurement, the units should be cubed; this explains why the answer is given in feet cubed. In order to find the volume, we need to use the radius. The radius of a sphere is the distance from the center to the outside. In this case, we are told that the radius is 9 ft.
Volume Formula
Every regular shape has its own volume formula. For a sphere, the formula is:
\(V = \frac{4}{3}\pi r^{3}\)So, to find the volume, all we need to do is plug in the radius. For this sphere, r = 9.
V = 4/3 * 3 * 9³V = 2916When using 3 for pi, the volume of the sphere is 2916 ft³.
Dylan is conducting an experiment and wants to choose the ball with the lowest density.
Ball A = diameter 7cm, mass 1.742kg
Ball B = diameter 6cm, mass 1.040kg
4
Volume of sphere =
3 773
Density
= mass = volume
TT = 3.142
Which ball should he choose?
Dylan should choose Ball B which having lowest density.
What is volume of spere?
The volume of a sphere is calculated using the formula volume = 4/3πr³ where r is the sphere's radius.
Given that:
Ball A = diameter 7cm, mass 1.742kg
Ball B = diameter 6cm, mass 1.040kg
As we know that,
volume of a sphere =4/3πr³
1) For Ball A,
volume of a Ball A = 4/3π(3.5)³
volume of a Ball A = 179.6 cm³
given mass for Ball A is 1.742 kg = 1742 g.
So, Density = \(\frac{mass}{volume}\)
Density of Ball A will be 9.7 g/cm³.
2) For Ball B,
volume of a Ball B = 4/3π(3)³
volume of a Ball B = 113.11 cm³
given mass for Ball B is 1.040 kg = 1O40 g.
So, Density = \(\frac{mass}{volume}\)
Density of Ball B will be 9.19 g/cm³.
By comparing density of both balls,
Density of Ball A > Density of Ball B
Hence, Dylan should choose Ball B which having lowest density.
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Study this table.
x
y
–3
–2
–2
0
0
4
4
12
Which best describes the function represented by the data in the table?
linear with a common ratio of 2
linear with a common first difference of 2
quadratic with a common ratio of 2
quadratic with a common first difference of 2