Answer:
I III and IV
Step-by-step explanation:
According to the SAS (Side Angle Side) postulate, the side OC is congruent to side JA, the angle COD is congruent to angle AJL, and the angle DCO is congruent to angle JAL.
Given :
Triangle OCD ≅ Triangle JAL
The given triangles can be similar through the ASA postulate. According to the Angle Side Angle postulate, two angles and included side of one triangle is congruent to the other two angles and included side of another triangle then both the triangles are congruent.
So according to the SAS (Side Angle Side) postulate, the side OC is congruent to side JA, the angle COD is congruent to angle AJL, and the angle DCO is congruent to angle JAL.
Therefore, the correct option is D).
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Evaluate the expression for x=5, y=-3 and z=7
x + y + z
Answer:
5
Step-by-step explanation:
(Refer to image)
Replace the numbers with the variables and solve using order of operations
Answer:
9
Step-by-step explanation:
convert all the value for x,y,z
5+-3+7
5+-3= 2+7 = 9
I used to decreased the negative 3 to 5 because of the sign negative attached beside the 3. but why the answer becomes to be positive 2? because the positive number which is 5 is greater than the negative 3 in the given.
I hope it helped you.
x/-8 = -3
help!!! needed urgently
If x/ -8 = -3,
Just multiply by -8 on both sides.
x = 24
Hope this helps!
If x/ -8 = -3,
Just multiply by -8 on both sides.
x = 24
Hope this helps!
There are two other ways to write this fraction.
−15/29
List them in the space below.
Answer:
-30/58 & -45/87
Step-by-step explanation:
The first answer is just multiplying the original by 2.
The second one is being multiplied by 3.
The multiplicated moves DO NOT CHANGE THE VALUE OF THE ORIGINAL FRACTION, meaning that they are equivalent. :))
A scientist needs 10 liters of a 20% acid solution for an experiment, but she has only a 5% solution and a 40% solution. To the nearest tenth of a liter, about how many liters of the 5% and the 40% solutions should she mix to get the solution she needs? Write and solve an equation to match the situation.
Answer:
5% solution needed = 5.7 liters
40% solution needed = 4.3 liters
Step-by-step explanation:
Let the amount of 5% solution is needed = x liters
And the amount of 40% solution is needed = y liters
Concentration of the final solution = 20%
5x + 40y = 20(x + y)
x + 8y = 4(x + y)
4y = 3x
x = [tex]\frac{4}{3}y[/tex] -------(1)
Total volume of the final solution needed = 10 liters
Therefore, x + y = 10 --------(2)
Now substitute the value of x from equation (1) to equation (2).
[tex]\frac{4}{3}y+y=10[/tex]
[tex]\frac{7}{3}y=10[/tex]
y = 4.3 liters
From equation (2),
x + 4.3 = 10
x = 5.7 liters
joe and his friends watched a total of 41 movies this past year. if a typical movie lasts approximately 2 hours then which of the following quantities is an appropriate representation of the number of minutes joe and his friends spent watching movies
the number of minutes joe and his friends spent watching movies are 4920 minutes.
What is a mathematical function, equation and expression?function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.Given is that joe and his friends watched a total of 41 movies this past year. if a typical movie lasts approximately 2 hours.
Assume that the number of minutes joe and his friends spent watching movies is given by [x]. Then, we can write -
[x] = 41 x 2 x 60
[x] = 41 x 120
[x] = 4920 minutes.
Therefore, the number of minutes joe and his friends spent watching movies are 4920 minutes.
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if the weight of an object is 900 newton what is its mass. plz tell answer fast I will mark you as the brainlest.
≈ 92 kg
Step-by-step explanation:Hi there !
w = m×g => m = w/g
g = 9.8m/s² = 9.8m·s⁻²
w = 900N = 900kg⋅m⋅s⁻²
m = 900kg⋅m⋅s⁻²/9.8m·
= 91.83 kg
≈ 92 kg
Good luck !
Pleaseeee help !!! I don’t under stand this
Answer:
first one 10.50$ second 20.50 $ third 30.50$ forth 40.50 the cost of each t shirt
is 10.50$
Ms. Howard wrote a test. Part A had true/false questions, each worth points. Part B had multiple choice questions, each worth points. She made the number of points for Part A equal the number of points for Part B. It was the least number of points for which this was possible.
Full question attached
Answer and explanation:
Since x = number of true or false questions correct
And y = number of multiple choice questions correct
And each question for x =2 points
each question for y=3 points
since she then needs a total score of more than 93 to pass, we add up total correct questions and
Inequality equation = 2x +3y >93
HELP I DONT HAVE MUCH TIME
Answer:
10 miles, 6 inches
Step-by-step explanation:
2.5 x 10
15/2.5
Pls help me ASAP PLS PLS PLS PLS PLS PLS ASAP
Answer:
The domain is the input value of x, which can be any real number.
There is no inequality.
Set notation x | E R. ( all real nUmbers)
Interval. Oration (-infinity, infinity)
Range: set x to 0 and solve:
3(0)^2 + 2 = 2
The lowest value is 2 and goes to infinity.
Inequality is >=
Set notation Y | >= 2
Interval notation : [2, infinity)
End behavior they both go to infinity .
Solve for x
X-5=-9
(10 points)
x-5 = -9
add 5 to both sides
x = -4
Answer:
x = - 4
Step-by-step explanation:
x - 5 = -9
=> x = -9 + 5
=> x = - 4
round 18.238 to the nearest tenth
Answer:
18.2
Step-by-step explanation:
Since the hundreds place is less than 5, it stays the same.
Answer:
18.2, haven't done this for a while now, but I think that should be correct :)
Caleb starting playing video games as soon as he got home from school. He played video games for 50 minutes. Then Caleb helped clean the kitchen for 1 hour. After the kitchen was clean, it took Caleb 1 hour and 55 minutes to finish his homework. When Caleb finished his homework, it was 7:40 P.M. What time did Caleb get home from school?
Answer:
Caleb had gotten home at 3:55 pm
Answer:
Caleb got home around 3:55
Step-by-step explanation:
if you move point toward point B along BC how does m_ABC change? How do mZBAC and mZACB change? What happens to these
angles if you move point C away from point B along BC?
Answer:
i think its abc stays same, bac gets smaller, and acb gets bigger
for the second part, abc same, bac bigger, acb smaller
Step-by-step explanation:
if you picture the triangle in your head that probably would help
If we take point C closer towards point B, then ∠ABC will remain the same, the measurement of ∠BAC will decrease, and the measurement of ∠ACB will increase. Similarly, If we take point C far from point B, ∠ABC will remain the same, the measurement of ∠BAC will increase, and the measurement of ∠ACB will decrease.
What is an angle?Angle is formed by two lines or rays which have a common endpoint. Angle has two sides.
Here Given in the question that Point C is movable and it moves towards point B.
If we change the position of C nearer to point B keeping points B and A fixed in angle ∠ABC the side BC length will decrease but the gap between AB and BC will remain the same. Therefore ∠ABC will remain the same.
If we change the position of C nearer to point B keeping point B and A fixed in angle ∠BAC, point C will get closer to point B for which the gap between AB and AC will decrease. Therefore the measurement of ∠BAC will decrease.
If we change the position of C nearer to point B keeping points B and A fixed in angle ∠ACB, point C will get far from point A as point A is fixed for which the gap between AC and CB will increase. Therefore the measurement of ∠ACB will increase.
Therefore if we take point C closer towards point B, then ∠ABC will remain the same, the measurement of ∠BAC will decrease, and the measurement of ∠ACB will increase.
If we take point C far from point B, then the thing will be reversed except ∠ABC.
Therefore If we take point C far from point B, ∠ABC will remain the same, the measurement of ∠BAC will increase, and the measurement of ∠ACB will decrease.
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If 4 pounds of bologna cost $5.04, how much will it cost
per pound?
Answer:
$1.26
Step-by-step explanation:
To get the cost of one pound you need to divide the cost of 4 pounds by 4.
5.04/4=1.26
$1.26 per pound.
How are lines KL and MN related?
O The lines intersect at point K.
O The lines are parallel.
O The lines are perpendicular.
O The lines do not have slopes,
The lines KL and MN perpendicular to each other.
What is slope?In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line. The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).
here, we have,
If a line passes through two points, then the slope of the line is
m = y2-y1/x2-x1
From the given graph it is clear that coordinates of points on line KL are K(-8,2) and L(6,2).
The slope of line KL is
m = 0
The slope of line KL is 0, it means it is a horizontal line.
From the given graph it is clear that coordinates of points on line MN are M(-4,8) and N(-4,-6).
The slope of line MN is
m = 1/0
The slope of line MN is 1/0 or undefined, it means it is a vertical line.
We know that vertical and horizontal lines are perpendicular to each other.
Therefore the lines KL and MN perpendicular to each other.
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If a number has no pulse or minus sign, does that mean it’s usually a positive or negative number?
Answer:
positive
Step-by-step explanation:
Answer:
It means it is usually positive
Step-by-step explanation:
The positive sign is invisible if it is at the beginning of an equation number, if it is moved to the other side of the equal sign, than it turns the opposite charge. Hope this answers your question :)
I need help with this pls help
Answer:
Step-by-step explanation:
Após recuperar-se de uma cirurgia, o treinador da corredora Andrea estipulou um plano de treinamento diário: correr 500 metros no primeiro dia e aumentar 200 metros por dia, a partir do segundo, até que ela atinja 10 km. Andrea pretende correr 10 km na maratona do Rio de Janeiro, no início do próximo ano. Em quantos dias de treinamento Andrea atingirá 10 km?
Explicación paso a paso:
La distancia recorrida el primer día = 500 m
Si aumenta la distancia en 200 m diariamente, entonces el total corrido diariamente formará una progresión aritmética con el último término de 10 km (10,000) como se muestra;
500, (500 + 200), (500 + 200 + 200) ... 10,000
500, 700, 900 ... 10,000
para que sepamos el número total de días usados para la carrera, usaremos la fórmula para calcular el enésimo término de una secuencia aritmética como se muestra;
[tex]T_n = a+(n-1)d[/tex] where;
n es el número de términos
a es el primer término de la secuencia
d es la diferencia común
Dado a partir de la secuencia:
a = 500
Tn = 10,000
d = 700-500 = 900-700 = 200
Sustituir en la fórmula y calcular el valor de n
[tex]10,000 = 500+(n-1)*200\\10,000 = 500+(200n-200)\\10,000 = 500-200+200n\\200n = 10,000-300\\200n = 9,700\\n = 9,700/200\\n = 48.5[/tex]
Andrea habría alcanzado los 10.000km tras 48,5 días de carrera
What is faster? 15 meters per minute or 15 kilometers per hour?
Answer:
15 kilometers
Step-by-step explanation:
15 kilometers is in conversion with miles
How did Washington react to failure?
If 3 (x + 2) – 2(x + 1) = 8
what is the value of x
Answer:
x=4
Step-by-step explanation:
x+4=8
x+4-4=8-4
x=4
URGENT!!!! What are the x and y-intercepts of the line described by the equation?
2x – 6y = 30
Enter your answers in the boxes.
Answer:
(15,0)
(0,−5)
Step-by-step explanation:
Plug y=0 into the equation and solve the resulting equation 2x=30 for x
The x and y intercepts of the equation of line 2x – 6y = 30 are;
x-intercept = (15, 0)
y - intercept = (0, -5)
In graphs, the x - intercept is the point where y = 0. Similarly, the y - intercept is the point where x = 0.
We are given the equation of line as;
2x - 6y = 30
Thus, x-intercept, we will put y = 0;
2x - 6(0) = 30
2x = 30
divide both sides by 2 to get;
x = 30/2
x = 15
Thus, y-intercept, we will put x = 0;
2(0) - 6y = 30
0 - 6y = 30
-6y = 30
y = 30/-6
y = -5
In conclusion, the x and y intercepts respectively are (15, 0) and (0, -5)
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standard form help me
Which of the equations is graphed below?
A.) Y=X
B.) Y=2X
C.) Y=-2X
D.) Y=-X
Answer:
y = -x
Step-by-step explanation:
it is negative slope so -x
The Esteban family will order one T-shirt for each person who attends their family reunion. The cost is $6.50 per T-shirt plus a one-time printing fee of $35.00. This can be represented by the equation c= 6.5n+35, where c represents the total cost of the shirts and n represents the number of shirts ordered. If the family can spend no more than $2,000.00 on T-shirts, what is the maximum number they can order?
Answer: 302
Step-by-step explanation:
Adriana y Andrés caminan juntos todos los días. El recorre 150 metros y ella 100 metros por cada minuto de caminata. ¿Cuál es la distancia que recorre cada uno después de 3,6,8,9 y 10 minutos?
Answer:
hi o whae your ayt fk hbod
Step-by-step explanation:
are the terms 2x^3 and 2yx^2 like terms
At 7:00 AM the temperature in Wilton was -6 degrees. By 8:00am the temperature was 2 degrees. What is the difference in the temperature between 8:00am and 7:00am?
Answer:
8 degrees
Step-by-step explanation:
Your really just counting up from -6 to 2.
A cube with 4 faces has a length of 4.5cm.find the total surface area
Answer:
81 cm square
Step-by-step explanation:
the answer is 121.5cm^2