Answer: [tex]\angle{J}=100^{\circ}[/tex]
Step-by-step explanation:
Given: △ABC≅△JKL,
m∠B=55°, and m∠L=25°
We know that if two triangles are congruent then their corresponding angles are equal.
∴ m∠A=m∠J
m∠B=m∠K=55°
m∠C=m∠L=25°
Now, by angle sum property in triangle JKL we have
[tex]\angle{J}+\angle{K}+\angle{L}=180^{\circ}\\\\\Rightarrow\angle{J}+55^{\circ}+25^{\circ}=180^{\circ}\\\\\Rightarrow\angle{J}=180^{\circ}-55^{\circ}-25^{\circ}\\\\\Rightarrow\angle{J}=100^{\circ}[/tex]
What conversion factor fraction is used to convert inches to feet?
Answer:
C
Step-by-step explanation:
Notice that on C 24:2, 48:4 72:6, etc
There are three consecutive odd integers whose sum is 159. what are the three numbers?
Solve for n.
3(n+6)≥3n+8
no solution
all real numbers
n≥7
n≥23
Answer:
The correct option is B) all real numbers.
Step-by-step explanation:
Consider the provided inequity.
[tex]3(n+6)\geq 3n+8[/tex]
We need to solve the inequity for n.
[tex]3(n+6)\geq 3n+8[/tex]
[tex]3n+18\geq 3n+8[/tex]
Subtract 3n from both sides
[tex]3n-3n+18\geq 3n-3n+8[/tex]
[tex]18\geq 8[/tex]
Which is true for any real number. As 18 is greater than 8.
Hence, the value of n is all real numbers.
Thus the correct option is B) all real numbers.
The mass of the sun is about 2x10^27 metric tons or 2x10^30 kilograms. How many kilograms are in one metric ton
What are the roots of the quadratic equation 0 = 2x^2 + 12x –14?
2, 12, –14
–7, 1
–1, 7
1, 6, –7
Can you explain what it is wanting or asking?
Answer:
-7, 1
Step-by-step explanation:
Given quadratic equation,
[tex]2x^2+12x-14=0[/tex]
By middle term splitting,
[tex]2x^2+(14-2)x-14=0[/tex]
[tex]2x^2+14x-2x-14=0[/tex]
[tex]2x(x+7)-2(x+7)=0[/tex]
[tex](2x-2)(x+7)=0[/tex]
By the zero product property,
[tex]2x-2=0\text{ or }x+7=0[/tex]
[tex]\implies x=1\text{ or }x=-7[/tex]
Hence, the roots of the given equation are -7 and 1.
Second option is correct.
You need to strengthen a 19% alcohol solution with pure alcohol solution to obtain 40% solution. How much pure alcohol should you add to 100 milliliters of the 19% solution.
Can anyone solve this problem???
A country's population in 1993 was 94 million. in 1999 in was 99 million. estimate the population in 2005 using the exponential growth formula. round your answer to the nearest million. P=Ae^kt
Write the equation of a line in slope intercept form that goes through the point (-2,10 with a slope of -3
in need some help this question please answer all my point on the line
Mr. furley has 27 coins that are all dimes and quarters. the value of the coins is 4.35. how many dimes and how many quarters does mr. furley have
1. the temperature in Montreal was -8C in New York the temperature was 11C. How many degrees warmer was the temperature in New York?
2. mike deposited $200 in to his bank account. He then wrote checks for $20 and $30. The he deposited $40 dollars more. Which of the following represents the changes in the value of mike's account?
simplify 7-(-12)-5
a -10
b 0
c 14
d 24
what is the true hourly wage of a job that pays $18 per hour and allows 20 hours of paid time off for every 500 hours worked ? show your work
The true hourly wage of a job is:
$ 18.72 per hour
Step-by-step explanation:The pay per hour is: $ 18
Also, it is given that: The job allows 20 hours of paid time off for every 500 hours worked.
This means he will be paid for 520 hours of work
but the true hourly wage will be calculated on the basis of 500 hours.
The wage for 520 hours of work will be: $ (18×520)= $ 9360
and the true hourly wage is:
Ratio of wage for 520 hours to 500 hours
i.e.
[tex]=\dfrac{9360}{500}\\\\\\=\dfrac{936}{50}\\\\=\$\ 18.72\ \text{per\ hour}[/tex]
One inlet pipe can fill an empty pool in 6 hours, and a drain can empty the pool in 9 hours. how long will it take the pipe to fill the pool if the drain is left open?
Which of the following elements is the most reactive?
Chlorine
Bromine
Fluorine
Helium
If a+bi is a zero of a function and the coefficients of the polynomial are real, what will be the other complex zero of the function?
1. -a + bi
2. a - bi
3. -a - bi
4. a
If, P(x,y) is a point on the unit circle determined by real number δ, then tanδ = what
Can I get some help on these please ?
The original price of the DVD is nine dollars the sale price is 80% of the price what is the sale price of the DVD?
multiply $9 by 80%
80% = 0.80
9 * 0.8 = 7.20
subtract that from original price
9 - 7.20 = 1.80
Sale price is $1.80
Which is a graph of f(x)=4(1/2)x
In this exercise we have to be aware of the type of graph we have and identify its formula, like this:
The second graph
As it is a graph of the equation of an exponential, we have that its form is given by:
[tex]y=ab^x[/tex]
Where:
y-intercept/starting point b is the value x exponentially grows or decays.Calculating the value of X when Y is equal to 1, we have:
[tex]1=4(0.5)^x \\1/4=(1/2)^x \\log_{0.5}(1/4)=x \\x=2[/tex]
See more about graphs at brainly.com/question/14375099
Find the measure of an angle whose measure is 18 degrees less than one-half of the measure of its complement.Find the measure of an angle whose measure is 18 degrees less than one-half of the measure of its complement.
The measure of the angle in question is 18 degrees, as found by setting up an equation based on the relationship between an angle and its complement, and solving for the angle.
To find the measure of an angle that is 18 degrees less than one-half of the measure of its complement, first let's define the angle as x. Since the angle and its complement add up to 90 degrees, the complement is 90 - x. The given information tells us that x is 18 degrees less than half of its complement. Therefore, we can set up the equation:
x = (1/2)(90 - x) - 18
Doubling both sides gives:
2x = 90 - x - 36
Adding x to both sides and adding 36 to both sides gives:
3x = 54
Dividing by 3, we find that:
x = 18 degrees.
Therefore, the measure of the angle is 18 degrees.
What is the value of x?
Enter your answer in the box.
Answer:
x = 9 and y = 5
Step-by-step explanation:
From the given figure :
In ΔLNM ,
LN = NM = LM
This shows that all the sides of the triangle are given to be equal.
And the triangle whose all sides are equal is called equilateral triangle and in an equilateral triangle the measure of its each angle is 60°
⇒ ∠L = ∠N = ∠M = 60°
Now, ∠N = 60°
⇒ 7x - 3 = 60
⇒ 7x = 63
⇒ x = 9
Also, ∠M = 60°
⇒ 11y + 5 = 60
⇒ 11y = 55
⇒ y = 5
Answer: x=9
Step-by-step explanation:
i did the test and got it right lol
Calculate δe, if q= 0.769 kj and w= -860 j .
The change in internal energy (δe) of the system, calculated using the first law of thermodynamics, and considering that the heat and work quantities are converted to the same unit, is 1629 J.
Explanation:The query you've presented seems to be about the first law of thermodynamics, which states that the change in internal energy (ΔE or in your notation, δe) of a system is equal to the heat (q) added to the system minus the work (w) done by the system. Both heat and work quantities need to be in the same units for this calculation, whereas your values are given in different units: kJ for heat and J for work. To facilitate this calculation, let's first convert the heat quantity from kJ to J (1 kJ equals 1000 J).
So, q = 0.769 kJ = 0.769 * 1000 J = 769 J.
Given, w = -860 J.
Now, according to the first law of thermodynamics, δe = q - w.
Substituting the given values, we get δe = 769 J - (-860 J) = 769 J + 860 J = 1629 J.
Therefore, the change in internal energy, δe, is 1629 J.
Learn more about First Law of Thermodynamics here:https://brainly.com/question/34644078
#SPJ12
Which biconditional statement is true?
A. A number is divisible by 9 if and only if it ends in 3.
B. A quadrilateral is a square if and only if it has four right angles.
C. The sum of two integers is positive if and only if the two integers are positive.
D. A number is an even number if and only if it is divisible by 2
Among the given options, the true biconditional statement is Option D: A number is an even number if and only if it is divisible by 2. This matches the true nature of a biconditional statement where both parts must have the same truth value.
The question posed is concerned with identifying the true biconditional statement among the given options. A biconditional statement is true if and only if both parts have the same truth value. We'll examine each option carefully.
Option A: A number is divisible by 9 if and only if it ends in 3. This statement is false because divisibility by 9 depends on the sum of the digits of the number, not just the last digit.Option B: A quadrilateral is a square if and only if it has four right angles. This statement is not entirely true because a rectangle also has four right angles but is not necessarily a square.Option C: The sum of two integers is positive if and only if the two integers are positive. This is false because the sum can also be positive if one integer is sufficiently larger than the negative of the other one.Option D: A number is an even number if and only if it is divisible by 2. This is a true biconditional statement. A number is considered even if it can be divided by 2 without leaving a remainder (with both having the same truth value).After reviewing the options, the correct answer is Option D.
There are 5 red marbles four blue marbles and three yellow marbles in a bag what is the probability of a blue marble being randomly chosen
You have a $50 bill. you and your friend ordered two cheeseburgers for $4.25 each, two fries for $1.28 each, and two colas for $1.98 each. including 4% sales tax and 15% tip, what is the change you will receive from $50?
Answer: 32.13
Step-by-step explanation:
Answer:
The answer is: $32.13
Two tourists went on a hike at dawn. One went from a to b and another one went from b to a. They met at noon but did not stop and continued walking maintaining same speed for the whole trip. One finished his hike at 4pm in B and another one came to A at 9 pm. At what hour was dawn that day?
Line segments JK and JL in the xy-coordinate plane both have a common endpoint J (-4,11) and midpoints at M1 (2,16) and M2 (-3,5). What's the distance between M1 and M2?
Answer:
12.08 units.
Step-by-step explanation:
We have been given that line segments JK and JL in the xy-coordinate plane both have a common endpoint J (-4,11) and midpoints at [tex]M_1 (2,16)[/tex] and [tex]M_2 (-3,5)[/tex].
To find the distance between [tex]M_1[/tex] and [tex]M_2[/tex] we will use distance formula.
[tex]\text{Distance}=\sqrt{(x_2-x_1)^{2}+(y_2-y_1)^{2}}[/tex]
[tex]x_2[/tex] and [tex]x_1[/tex] are x-coordinates of two points.
[tex]y_2[/tex] and [tex]y_1[/tex] are corresponding y-coordinates of two points.
Let [tex]M_2[/tex] our first point, then [tex]x_1=-3[/tex] and [tex]y_1=5[/tex].
Let [tex]M_1[/tex] will be our second point, then [tex]x_2=2[/tex] and [tex]y_2=16[/tex]
Upon substituting coordinates of point [tex]M_1[/tex] and [tex]M_2[/tex] in distance formula we will get,
[tex]\text{Distance}=\sqrt{(2--3)^{2}+(16-5)^{2}}[/tex]
[tex]\text{Distance}=\sqrt{(2+3)^{2}+(11)^{2}}[/tex]
[tex]\text{Distance}=\sqrt{(5)^{2}+(11)^{2}}[/tex]
[tex]\text{Distance}=\sqrt{25+121}[/tex]
[tex]\text{Distance}=\sqrt{146}[/tex]
[tex]\text{Distance}=12.0830459735945721\approx 12.08[/tex]
Therefore, distance between [tex]M_1[/tex] and [tex]M_2[/tex] is 12.08 units.
Which of the following is the coefficient in the algebraic expression 22y3 + z
Answer:
Step-by-step explanation:
the Coefficient is 22 because its attached to the variable Y
What z-score values form the boundaries for the middle 60% of a normal distribution??