Answers
Since LMN~XYZ, that means m∠N = m∠Z.
Since the angles are the same, we also know that
sin N = sin Z
Sine is the ratio of the opposite side to the hypotenuse of a right triangle. The sine of N would be the ratio of sides LK to LN, and the sine of Z would be the ratio of sides XW to XZ. That gives us:
x/28 = 3/12
Cross multiply the proportion:
12*x = 28*3
12x = 84
Divide both sides by 12:
12x/12 = 84/12
x = 7
The side length (KL) of the triangle ΔLMN will be 7. Then the correct option is B.
What is the triangle?The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180 °.
The ratio of the matching sides will remain constant if two triangles are comparable to one another.
The triangle ΔLMN is similar to triangle ΔXYZ with altitudes KL and WX.
The ratio of the corresponding sides will remain constant. Then the equation is given as,
KL / XW = LN / XZ
KL / 3 = 28 / 12
KL = (28 x 3) / 12
KL = 84 / 12
KL = 7
The side length (KL) of the triangle ΔLMN will be 7. Then the correct option is B.
More about the triangle link is given below.
https://brainly.com/question/25813512
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Related Questions
which one of the following tables is a relation that represents a function?
Answers
Table 3
Explanation:
For a relation to be a function, each x value should have only one corresponding y value.
Now, let's check the givens:
Table 1:
x = 1 has two corresponding y-values. Therefore, this is not a function
Table 2:
x = 10 has two corresponding y-values. Therefore, this is not a function.
Table 3:
each x value has only one corresponding y-value. Therefore, this one is a function
Table 4:
x = 7 has two corresponding y-values. Therefore, this is not a function.
Hope this helps :)
find the slope of a line that is parallel to the line -0.75 x minus y equal 3 the slope of a parallel line is
Answers
Please could someone help with this one . Thanks I will brainlist
Answers
Find an angle at home. Measure the angle. Record the measure. Classify the angle.
Answers
Write 6 percent as a decimal
Answers
△ABC has interior angles with measures x°, 90°, and 70°, and △DEF has interior angles with measures y°, 70°, and 20°. Using the given information, which statement is true?
a The triangles are similar because they each have an interior angle with a measure 70°.
b The two triangles are not similar because the interior angles are congruent but
the side lengths are different.
c The two triangles are similar because y=90 .
d The two triangles are not similar because x≠y .
Answers
Answer:
c
Step-by-step explanation:
i took the test
the sum of two numbers is 83. The difference of the 2 numbers is 13. What is the product of the two numbers?
Answers
The product of the two numbers whose sum and difference is 83 and 13 respectively is 1680.
What is Equation Modelling?Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
Given is that the sum of two numbers is 83 and the difference of these two numbers is 13.
Assume that the numbers are [x] and [y] respectively. Then -
x + y = 83 ...[1]
and
x - y = 13
x = 13 + y
Substitute (x = 13 + y) in Equation [1], we get -
13 + y + y = 83
2y = 70
y = 35
Therefore, [x] will be equivalent to -
x = 13 + 35
x = 48
Now, the product of [x] and [y] will be -
xy = 35 x 48 = 1680
Therefore, the product of the two numbers whose sum and difference is 83 and 13 respectively is 1680.
To solve more questions on Operations with numbers, visit the link below-
brainly.com/question/19920686
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Determine o X do triângulo na questão b
Answers
5x = 90
x = 18
Please help
The profits for a large international bank were $2 934 569 000.
What is the scientific notation form of the profit figure? (Round the base/root to 1 decimal point.)
Answers
what is the slope of the line (2,-2) and (9,3)
Answers
slope = 5/7
the slope of the line is
m=5/7
i hope this helped you
What is the simplified version of (1/3) (9x - 9)
Answers
BRAINLIEST FOR THE FIRST RIGHT ANSWER
Instructions: Select the correct answer.
Audrey has a box that contains one caramel chocolate (C), one milk chocolate (M), one dark chocolate (D), and one white chocolate (W). She picks one chocolate and eats it. Then she picks another chocolate and eats it. What is the sample space of the event?
A. {M-D, M-W, M-C, D-W, D-C, W-C}
B. {M-D, M-W, M-C, D-M, D-C, D-W, W-M, W-C, W-D, C-M, C-D, C-W}
C. {M-D, M-W, M-M, D-M, D-C, D-D, W-M, W-W, W-D, C-M, C-D, C-C}
D. {M-D, M-W, M-C, M-M, D-M, D-C, D-W, D-D, W-M, W-C, W-D, W-W, C-M, C-D, C-W, C-C}
Answers
since there is only 1 flavor of each there would be 3 combinations containing each flavor
So, I know this can be confusing, but basically, it is just asking for all the possibilities of chocolates Audrey could've chosen. There are 4 choices.
C, M, D, and W.
You have 4 choices for the first pick.
You have 4 choices for the second.
4*4= 16
Which choice has 16 options?
"D" has 16 options. It is the correct sample space.
I hope this helps!
~kaikers
Three salesmen work for the same company, selling the same product. And, although they are all paid on a weekly basis, each salesman earns his paycheck differently. Salesman A works strictly on commission. He earns $65 per sale, with a maximum weekly commission of $1,300. Salesman B earns a weekly base salary of $300, plus a commission of $40 per sale. There are no limits on the amount of commission he can earn. Salesman C does not earn any commission. His weekly salary is $900. For each salesman, write an equation showing the relationship between their weekly paycheck amount, p, and the number of sales, s, they had that week. Graph the three equations you just wrote for each salesman if they have between 0 and 20 sales in a week. Graph all three equations on the same graph . Make sure you label each line with the salesman it represents, as well as label the axes. Note: The independent variable is s, and the dependent variable is p.
Answers
Salesman A works strictly on commission. He earns $65 per sale, with a maximum weekly commission of $1,300.
Salesman B earns a weekly base salary of $300, plus a commission of $40 per sale. There are no limits on the amount of commission he can earn.
Salesman C does not earn any commission. His weekly salary is $900.
Salesman A: 1300 ≤ 65S
Salesman B: P = 40S + 300
Salesman C: P = 900
Salesman A can only have 20 sales. 1,300/65 = 20. It should not go beyond that because it will go beyond the limit of 1,300 per week.
Salesman B will earn 1,100 for 20 sales. P = 40(20) + 300 = 800 + 300 = 1,100.
Salesman C will earn 900 regardless if he had 0 or 20 sales for the week.
You can do your own graph using my equations.
A solid right pyramid has a square base. The base edge length is 2 cm longer than the height of the pyramid. If the height is 6 cm, the volume of the pyramid is cm3.
Answers
Height = 6
Base length = 8
Volume of pyramid = width x length x height /3 = 8 x 8 x 6/3 = 128 cm³
Answer:
128
Step-by-step explanation:
Just did the test ;)
The velocity of an airplane heading east is 400 knots with a wind velocity of 50 knots blowing toward the northeast. Calculate the resultant speed and direction of the plane. Round to the nearest tenth.
Answers
The velocity of the plane:
east=400 knots
The velocity of the air
50knots north east = 50/√2 north + 50/√2 east
The resultant speed would be:
total speed^2= east^2 + north^2
total speed= √(400+50/√2)^2 + (50/√2)^2
total speed= √(189534.254 + 1250)
total speed= 436.8 knots
2. To count the direction of the plane, you need to find the total speed of x(east/west) and y(north/south) axis separately then use tan formula.
east speed= 400knots + 50/√2 knots= 435.35 knots
north speed= 50/√2knots= 35.35 knots
tan a= opposite/adjacent
tan a = north speed/ east speed
tan a= 35.35/ 435.35
tan a=0.0812
a= 4.6 degrees
351.68 rounded to the nearest hundredth?
Answers
351.68 is already rounded to the nearest hundredth. The digit in the hundreds place is 8.
Hope this helps! Tell me if you meant something else ;)
find the equation of the line given two points. (2,1), (5,2). y=?
example answer: (4,0), (5,2). y=2x-8
please help. ive been on this problem for almost an hour now
Answers
Note: the slope is 1/3 and the y intercept is 1/3
------------------------------------------------------
Explanation:
First we need the slope of the line through the two points. Use the slope formula
m = (y2 - y1)/(x2 - x1)
m = (2-1)/(5-2)
m = 1/3
The slope is m = 1/3
Use this slope, along with one of the points. I'll use the point (x,y) = (2,1). Plug these three values into the equation y = mx+b and then solve for b
y = mx+b
1 = (1/3)(2)+b
1 = 2/3+b
1-2/3 = 2/3+b-2/3
1 - 2/3 = b
b = 1 - 2/3
b = 3/3 - 2/3
b = 1/3
So the slope and y intercept are
m = 1/3
b = 1/3
Therefore the equation is [tex]y = \frac{1}{3}x+\frac{1}{3}[/tex]
The amount of money it takes to fill up your gas tank varies directly with the number of gallons you buy. You spent $16.56 to fill up your car with gasoline. If you bought 6 gallons of gasoline, what is the constant of variation
Answers
Let "m" represent the money required.
Let "n" represent the number of gallons filled.
Since it is given to us that the amount of money it takes to fill up your gas tank varies directly with the number of gallons you buy, therefore, this can be written mathematically as:
[tex] m\propto n [/tex]
We know that when we remove the "varies to" sign we have to replace it with the equal to sign and the constant of variation, which we will represent by the letter "k".
Therefore the above expression will become:
[tex] m=k\times n [/tex]
Now, it is given that m=$16.56 and n=6 gallons
Therefore, [tex] 16.56=k\times 6 [/tex]
Dividing both sides by 16.56 we get:
[tex] \therefore k=\frac{16.56}{6}=2.76 [/tex]
Thus, k=2.76 $/gallon is the value of the constant of variation.
Lavonne sold 4 times as many raffle tickets than Kenneth. Lavonne sold 56 raffle tickets. Write and solve an equation to find out how many tickets Kenneth sold.
PLEASE!!!!!! A+
Answers
Hope this helped
56/4=14
then plug it in and you get 14 times 4 = 56
Factor the expression 28r + 42s -35
Answers
7(4r + 6r - 5)
We can't factor anymore.
Answer:
7(4r + 6r - 5)
Step-by-step explanation:
is a simplified version of 5(x+8)-10x =60
Answers
5x + 40-10x = 60
5x-10x = -5x
40-5x = 60
Subtract 40 from both sides
-5x = 20
X= -4
On Monday it snowed 9 inches. The next day it snowed 1/2 that amount. How much did it snow on the second day?
Answers
How do I solve 20% out of 75
Answers
75 x 0.2 = ?
? = 15
How do you get the value of x
Answers
.. 5x = 180
.. x = 180/5 = 36
Please help me, thanks.
Answers
Examples:
1. real numbers
2 + 3 = 3 + 2
2. algebraic expressions
x 2 + x = x + x 2
2. Commutative Property of Multiplication.a * b = b * a
Examples:
1. real numbers
5 * 7 = 7 * 5
2. algebraic expressions
(x 3 - 2) * x = x * (x 3 - 2)
3. Associative Property of Addition.(a + b) + c = a + (b + c)
Examples:
1. real numbers
(2 + 3) + 6 = 2 + (3 + 6)
2. algebraic expressions
(x 3 + 2 x) + x = x 3 + (2 x + x)
4. Associative Property of Multiplication.(a * b) * c = a * (b * c)
Examples:
1. real numbers
(7 * 3) * 10 = 7 * (3 * 10)
2. algebraic expressions
(x 2 * 5 x) * x = x 2 * (5 x * x)
5. Distributive Properties of Addition Over Multiplication.a * (b + c) = a * b + a * c
and
(a + b) * c = a * c + b * c
Examples:
1. real numbers
2 * (2 + 8) = 2 * 2 + 2 * 8
(2 + 8) * 10 = 2 * 10 + 8 * 10
2. algebraic expressions
x * (x 4 + x) = x * x 4 + x * x
(x 4 + x) x 2 = x 4 * x 2 + x * x 2
6. The reciprocal of a non zero real number a is 1/a.and a*(1/a) = 1
Examples:
1. real numbers
reciprocal of 5 is 1/5 and 5*(1/5) = 1
7. The additive inverse of a is -a.a + (- a) = 0
Examples:
additive inverse of -6 is -(-6) = 6 and - 6 + (6) = 0
8. The additive identity is 0. and a + 0 = 0 + a = a
9. The multiplicative identity is 1.and a * 1 = 1 * a = a
PLEASE HELP
If a student is chosen at random find the probability the student is male given that its a senior. Round to the nearest while percent.
Answers
=========================================
Work Shown:
"given that it's a senior" is an important piece of info that tells us to only focus on the "seniors" column. The word "given" is an indication that we know this information 100%
There are 5 seniors (2+3 = 5) and 2 of them are male. So 2/5 = 0.40 = 40% of the seniors are male. The probability of selecting a male, if we know this person is a senior, is 40%
The probability that a randomly selected senior student is male is 40%.
Given Data:
We have a two-way table representing the number of students by gender and grade level.
The relevant information is that there are 2 male seniors.
Event Definitions:
Let’s define the following events:
A: Student is male.
B: Student is a senior.
Conditional Probability:
We want to find the probability that a student is male given that they are a senior: (P(\text{Male}|\text{Senior})).
We can use the formula for conditional probability: [tex][P(\text{Male}|\text{Senior}) = \frac{P(\text{Male and Senior})}[/tex][tex]{P(\text{Senior})}][/tex]
Calculations:
From the table, we know:
Number of male seniors (A and B): 2
Total number of seniors (B): 5
Therefore: [[tex]P(\text{Male}|\text{Senior}) = \frac{2}{5} = 0.4][/tex]
Rounded Answer:
Rounding to the nearest whole percent:
([tex]0.4 \times[/tex]100% = 40%)
Summary: The probability that a randomly selected senior student is male is 40%.
help meeeeeeeeeeeeeeeeeeeeee
Answers
Y= -2
X= -4
Don’t even thank :))
For this case what you should do is see the intersections with each of the axes and then join the ordered pairs.
We have then:
For the x axis:
y = 0
Substituting in the equation:
x + 2 (0) = - 4
x + 0 = -4
x = -4
For the y axis:
x = 0
Substituting in the equation:
x + 2y = -4
0 + 2y = -4
y = -4 / 2
y = -2
We graph the ordered pairs:
(x1, y1) = (- 4, 0)
(x2, y2) = (0, -2)
Answer:
See attached graph.
Web flixs charges $25 and $2 for each movie family video charges $10 plus $2.50 for each movie find the number of movie rental for both stores charge are the same
Answers
To find the answer you have to do this
(M stands for movies)
$25 + 2m = $10 + 2.50m
-10 -2m -10 -2
$15 = .50m
Divide .50/15
You get 30
Check your answer $25 + 2(30) = $10 + 2.50(30)
$25 + $60 = $10 + $75
$85 = $85
The number of movie rentals for which Web Flixs and Family Video charge the same is 30.
Explanation:To find the number of movie rentals for which Web Flixs and Family Video charge the same, we need to set up an equation and solve for the number of movies. Let's denote the number of movie rentals as 'x'.
For Web Flixs, the cost is $25 + $2 per movie, so the total cost can be expressed as 25 + 2x.
For Family Video, the cost is $10 + $2.50 per movie, so the total cost can be expressed as 10 + 2.50x.
To find the number of movie rentals for which the costs are the same, we set up the equation: 25 + 2x = 10 + 2.50x.
By rearranging the equation and solving for 'x', we can find the number of movie rentals:
25 - 10 = 2.50x - 2x
15 = 0.50x
x = 30
Therefore, when the number of movie rentals is 30, the charges at both Web Flixs and Family Video will be the same.
Quadrilateral ABCD is inscribed in this circle.
What is the measure of angle B?
Enter your answer in the box.
m∠B=
°
Answers
When you have an inscribed quadrilateral, the opposite sides are supplementary.
So you can write and solve the following equation.
x + 6x + 19 = 180
7x + 19 = 180
7x = 161
x = 23
Now, plug in 23 for X and we will find the measurement of B.
6(23) + 19
138 + 19
157
The measure of angle B is 157 degrees. (The picture is not drawn to scale)
Good luck,
MrEQ
The area of a square garden is 50 m². How long is the diagonal? 100 m mc028-1.jpg m 25 m 10 m
Answers
Answer:
Option D, 10m
Step-by-step explanation:
The area of a square garden is 50 m²
We have to find the diagonal of the square garden by Pythagoras theorem.
Since ( diagonal )² = 2(side)²
( diagonal )² = 2 × area
= 2 × 50 = 100 m²
diagonal = √100
= 10 meter
Option D., 10m is the answer.