Triangle MRN is created when an equilateral triangle is folded in half. What is the value of x?
A. 2√3 units
B. 4 units
C. 4√3 units
D. 8 units
Answers
Answer:
C. 4√3 units
Step-by-step explanation:
Edge 2021
The value of x is 4.
Option B is the correct answer.
What is the Pythagorean theorem?Pythagorean theorem states that for a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
We can apply this theorem only in a right triangle.
Example:
The hypotenuse side of a triangle with the two sides as 4 cm and 3 cm.
Hypotenuse side = √(4² + 3²) = √(16 + 9) = √25 = 5 cm
We have,
From ΔRMN,
NM² = RN² + RM²
8² = y² + x²
64 = y² + x² ______(1)
And,
From ΔRNS,
RN² = RS² + SN²
y² = z² + 6²
y² = z² + 36 ______(2)
And,
From ΔRMS,
x² = z² + 2²
x² = z² + 4 _______(3)
From (1), (2), and (3).
x² = y² - 36 + 4
x² = 64 - x² - 36 + 4
2x² = 64 - 36 + 4
2x² = 68 - 36
2x² = 32
x² = 16
x = 4
Thus,
The value of x is 4.
Learn more about the Pythagorean theorem here:
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Related Questions
Help :) Round to the nearest 10ths
Answers
Answer:
A=0.6
Step-by-step explanation:
Answer:
0.6 is your answer
Step-by-step explanation:
the tenths place is the 1st number after the decimal which would be 5 and you would want to round that up to 6 because the number after it is iver 5 (closer to 10 than it is 1)
hope this helps:) have a good day:)
Evaluate the expression w ^2 - v + 1 for w = -2 and v = -8.
Answers
Answer:
13
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
w² - v + 1
w = -2
v = -8
Step 2: Evaluate
Substitute: (-2)² - (-8) + 1Exponents: 4 - (-8) + 1Multiply: 4 + 8 + 1Add: 12 + 1Add: 13Answer:
the answer is 13
Step-by-step explanation:
A company’s equipment manager buys $7,000 worth of equipment. This equipment depreciates 19% each year. The manager can replace the equipment after its value falls below $500. After how many years can the manager first replace the equipment?
Answers
Answer:
13 (c)
Step-by-step explanation:
Graph the equation 7000(1-0.19)^x and then the inequality y<500, the point of intersection should be 12.524, so the answer will be rounded up to 13 i think
Answer:
13
Step-by-step explanation:
Which is the correct answer?
Answers
Answer:
c is the correct answer
4x +y = 8
2x - 3y = 4
There is no solution.
® There are infinitely many solutions.
© There is exactly one solution at (2,0).
There is exactly one solution at (0,2).
Pick a statement that describes the solution correctly
Answers
Hello! Your answer will be the second provided answer.
See attachment below for explanation...
PLEASE HELP!!!!!!!!!
Answers
Answer:
i think it is x< 5 but not 100% sure
ASAPPP HELP PLZZ I DONT UNDERSTAND
Answers
Answer:
1/5 = 3/15
2/3 = 10/15
When all Added up
= 13/15
Step-by-step explanation:
So our LCD here is 15.
So in order to go from 5 to 15, we multiply by 3, and In order to go from 3 to 15, we multiply by 5. What we do to the denominator we also do to the numerator.
So,
[tex]\frac{1}{5} x \frac{3}{3} = \frac{3}{15}[/tex]
And,
[tex]\frac{2}{3} x \frac{5}{5} = \frac{10}{15}[/tex]
So there you go, multiply for what you need to get to the LCD, and what is done to the numerator is also done to the denominator. Enjoy
*If this Helped I'd Also Appreciate 5* and a ♥ Thanks!*
Describe the correlation if r = -0.45.
Answers
What polygons have at least 4 sides?
Answers
Answer:
rectangles, squares, diamonds, rhombuses, and trapezoids
Step-by-step explanation:
Your Welcome
Answer: quadralaterals, pentagons, hexagons, heptagons, occtagons, nonagons, decagons, hendecagon, dodecagon, and so on.
Step-by-step explanation:
which is greater 0.25 or 0.04
Answers
Answer:
0.25
Step-by-step explanation:
ez
Answer:
.25
Step-by-step explanation:
Of the following sets, which represents a function?
Situation A = {student's name, all the colors that the student likes}
Situation B = {student's name, names of all of the student's teachers}
Answers
Answer:
what
Step-by-step explanation:
What's the slope of (2,9) (6, -8)
Answers
Answer:
17/-4
Step-by-step explanation:
Answer:
-4.25
I hope this helps!
Please need help on this one
Answers
Answer:
45 degrees
Step-by-step explanation:
Its a 45 right triangle. You can tell because the legs are equal.
how might it be possible for the black people and white people to die at approximately the same age, but for the median age for the white people to be higher
Answers
Answer:
Step-by-step explanation:
because we are weaker
if the fourth term of an ap is 1 and sum of it first right term is 18 find the tenth term
Answers
The actual distance between Singapore and Jakarta is 1000 km. On a particular map. 1 cm on
the map represents 200 km on the ground. What length on the map represents the distance
between the two cities?
5 cm
10 cm
15 cm
Answers
Answer:
5cmStep-by-step explanation:
From the questions;
1cm represents 200km on the map
If the length of distance between the cities is 1000km, the distnce on the map will be say x;
x cm = 1000 km
Divide both equations;
1/x = 200/1000
Cross multiply;
200x = 1 * 1000
200x = 1000
x = 1000/2000
x = 5cm
Hence the length on the map that represents the distance between the two cities is 5cm
Equations and Inequalities
pls help
Answers
Answer: B=5
Step-by-step explanation:
if you plug 5 in for B, the equations equal to each other
6(5)-2=5(5)+3
30-2=25+3
28=28
NOW plug in each number to show the work (even though we already know it’s 5)
an electrician cuts a 27 ft piece of wire into two pieces. one piece is 23 ft longer than the other. how long's are the pieces?
Answers
Answer:
Step-by-step explanation:
27-23=4
4 divided by 2=2 so
1 piece is 2ft and one piece is 25 ft
23+2ft=25 ft + 2ft =27 ft
2= f/8 f= solve the equation
Answers
F is being divided by eight , when moving across equal sign the sign is opposite.
2 x 8 = f
16=f
An ABC News poll asked adults whether they felt genetically modified food was safe to eat. 35% felt it was safe, 52% felt it was not safe, and 13% had no opinion.
A random sample of 120 adults was asked the same question at a local county fair. 40 people felt that genetically modified food was safe, 60 felt that it was not safe, and 20 had no opinion.
At the 0.01 level of significance, is there sufficient evidence to conclude that the proportions differ from those reported in the survey?
Answers
Answer:
The proportions differ from those reported in the survey.
Step-by-step explanation:
The Chi-square goodness of fit test would be used to determine whether the proportions differ from those reported in the survey.
The hypothesis for the test can be defined as follows:
H₀: The proportions does not differ from those reported in the survey.
Hₐ: The proportions differ from those reported in the survey.
Assume that the significance level of the test is, α = 0.01.
The Chi-square test statistic is given by:
[tex]\chi^{2}=\sum\limits^{n}_{i=1}{\frac{(O_{i}-E_{i})^{2}}{E_{i}}}[/tex]
Consider the Excel sheet provided.
The Chi-square test statistic value is 191.32.
The p-value of the test is:
[tex]p-value=P(\chi^{2}_{(n-1)}>191.32)\\\\=\text{CHISQ.DIST.RT}(191.32,2)\\\\=0.0000[/tex]
The p-value of the test is very small. The null hypothesis will be rejected at 1% level of significance.
Thus, concluding that the proportions differ from those reported in the survey.
Mitch works at Comedy Cinema's concession stand. He has
helped 16 customers so far today. Find the cost of each person's
purchase and write it in the table. Then solve the riddle by writing
the letter of each answer in its matching blank.
Answers
Answer:
Step-by-step explanation:
Students use algebra to solve equations (of the form px + q = r and p(x + q) = r where p, q, and r are specific rational numbers); using techniques of making zero (adding the additive inverse) and making one (multiplying by the multiplicative inverse) to solve for the variable.
Students identify and compare the sequence of operations used to find the solution to an equation algebraically, with the sequence of operations used to solve the equation with tape diagrams. They recognize the steps as being the same.
Students solve equations for the value of the variable using inverse operations; by making zero (adding the additive inverse) and making one (multiplying by the multiplicative inverse).
The two segments formed as a result of a bisector will
always be_____?
1.Proportional
2. Congruent
3. Parallel
4. Perpendicular
Answers
Answer:
[tex]\huge\boxed{Proportional}[/tex]
Step-by-step explanation:
But when it is exactly at the right angles, then it'd be called as perpendicular bisector.
Find the derivation of y=sin (2x2 + 3x-4)<br />a. -cos (4x +3) b. -(6x2+3) cos (2x3+3x-4) c. Cos (2x3+3x-4)<br />d. (6x3+3) cos (2x3+3)<br />
Answers
Let y = f(x)
f(x) = sin x
g(x) = (2x^2 + 3x - 4)
Use the chain rule.
We want y' = f' (g(x)) • g'(x).
y' = cos(2x^2 + 3x - 4) • (4x + 3)
Done.
PLease helppppp (15 points)
Let f(x)=e2x. If g(x) is the graph of f(x) shifted right 3 units, down 2 units, and then reflected over the x-axis, what is the function for g(x)
A. g(x)=−(e2(x+3)−2)
B. g(x)=−(e2(x−3)+2)
C.g(x)=−(e2(x−3)−2)
D. g(x)=e2(−x−3)−2
Answers
can u pls help me with this question
Answers
See screenshot Below.
Answers
Answer:
78 Kg
Step-by-step explanation:
Because he gained at a constant rate first find that rate
in 1.5 months gained 93.6 - 85.8 = 7.8 so
whhen he started his diet he was at 85.8 -7.8 = 78 kilograms
HELLPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answers
Least to greatest 0.3 -0.03 -3 3.0 0.003 30 0.03
Answers
Answer:
-3, -0.03, 0.003, 0.03, 3.0, 30
Step-by-step explanation:
hope this helps :D pls mark brainliest :D
find 3 solutions to the equation y = 1/2x - 1
Answers
The 3 solutions to the equation are (0,-1), (2, 0) and (4, 1)
What are linear equations?Linear equations are equations that have constant average rates of change. Note that the constant average rates of change can also be regarded as the slope or the gradient
How to find 3 solutions to the equation?The equation is given as
y = 1/2x - 1
Next, we set x = 0, 2 and 4
So, we have
When x = 0
y = 1/2 x 0 - 1 = -1
When x = 2
y = 1/2 x 2 - 1 = 0
When x = 4
y = 1/2 x 4 - 1 = 1
Hence, the 3 solutions to the equation are (0,-1), (2, 0) and (4, 1)
Read more about equations at
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How do you solve this equation step-by-step? (below)
-2 (x - 3) = 16
Answers
Answer:
-2 (x -3 ) = 16 (use the distributive property)
-2x +6 = 16 (subtract 6 from both sides)
-2x = 10 (divide both side by -2)
x= -5