Answers
Answer:
x = 30
Step-by-step explanation:
Look at triangle LMN.
m<NLM + m<M + m<MNL = 180
90 + m<M + 45 = 180
m<M = 45
Theorem: The measure of an exterior angle of a triangle is equal to the sum of the measures of the remote interior angles.
<ONM is an exterior angle of triangle KMN.
The remote interior angles are <K and <M.
m<K + m<M = m<ONM
2x + 45 = 105
2x = 60
x = 30
Answer: x = 30
Related Questions
p(x)=2x3-3x2+14x÷15 and why?
Answers
Answer:
I think you have not written the full question
help solve for me please
Answers
Answer:
A''=(8,0)
B''=(12,-5)
C''=(16,-4)
D''=(17,3)
Step-by-step explanation:
Translations
The following points are given:
A=(2,3)
B=(6,-2)
C=(10,-1)
D=(11,6)
Two transformations will be applied:
T(x,y)->(x+12,y-8). It means: add 12 to x, subtract 8 to y
T(x,y)->(x-6,y+5). It means: subtract 6 to x, add 5 to y
Start with point A. First translation:
A'=(2+12,3-8)=(14,-5). Second translation:
A''(14-6,-5+5)=(8,0)
Now for point B. First translation:
B'=(6+12,-2-8)=(18,-10). Second translation:
B''(18-6,-10+5)=(12,-5)
Now for point C. First translation:
C'=(10+12,-1-8)=(22,-9). Second translation:
C''(22-6,-9+5)=(16,-4)
Finally for point D. First translation:
D'=(11+12,6-8)=(23,-2). Second translation:
D''(23-6,-2+5)=(17,3)
-2( 4 - 3n) answer pleseeewwwwew
Answers
Answer:
The answer is 6n - 8. if right, your welcome.
*****HELP ASAP WILL MARK BRAINLIEST****** Ignore if you don't know!!!! Geometry problem: Point D is the incenter of triangleABC, if DE=x^2 and DF= 20-8x, find each of the following
Answers
Answer:
x = 2
DG = 4
Step-by-step explanation:
The thing to know about the incenter of a triangle, is that the segments to each side are equidistant. In other words, they are identical lengths.
This means that ED = FD = GD.
Which means:
DE = DF
x^2 = 20 - 8x
So we need to solve for X. I would solve this using factoring:
Subtract 20 from both sides.
x^2−20=−8x
Add 8x to both sides.
x^2−20+8x=0
Rearrange the polynomial to put it in standard form. Place the terms in order from highest to lowest power.
x^2+8x−20=0
Factor the left hand side by grouping. First, the left hand side needs to be rewritten as x^2+ax+bx−20. To find a and b, set up a system to be solved.
a+b=8 ab=1(−20)=−20
Since ab is negative, a and b have the opposite signs. Since a+b is positive, the positive number has greater absolute value than the negative. List all such integer pairs that give product −20.
(−1,20) (−2,10) (−4,5)
Calculate the sum for each pair.
−1+20=19
−2+10=8
−4+5=1
The solution is the pair that gives sum 8.
a=−2 b=10
Rewrite x^2+8x−20 as (x^2−2x)+(10x−20).
(x^2−2x)+(10x−20)
Factor out x in the first and 10 in the second group.
x(x−2)+10(x−2)
Factor out common term x−2 by using distributive property.
(x−2)(x+10)
To find equation solutions, solve x−2=0 and x+10=0.
x = 2
x = −10
In this case, X is equal to 2 as the solution -10 doesn't make much sense given the context of the problem.
To find DG we just need to plug the solution back into one of the equations and solve:
20 - 8x
20 - 8(2)
20 - 16 = 4
DG = 4
Answer:
x=2
Step-by-step explanation:
halp meer............
Answers
Answer:
D
Step-by-step explanation:
Well, 1/3 is in between 0 and 1. Only D is in between 0 and 1.
for the function g (x) shown graphed below, over which of the following intervals is g (x) > 0
Answers
Answer:
g(-1) is lesser than 0 while h(-1) is -3(-1) + 8 = 11 so g(-1) is lesser than h(-1)
g(1) is 5 while h(1) is -3(1) + 8 = 5 so g(1) is equal to h(1)
Step-by-step explanation:
The function g(x) is greater than zero when the value of x lies in between -3 and 5 and this can be determined by using the given graph.
Given :
The graph of the function g(x) is given.
The following steps can be used in order to determine the interval for g(x):
Step 1 - The value of g(x) means the value of y.
Step 2 - The value of g(x) is positive when the graph of g(x) is in the first or in the second quadrant.
Step 3 - So, according to the graph function g(x) is positive when the value of x is in between -3 and 5.
Therefore, the correct option is 3).
For more information, refer to the link given below:
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In the right triangle shown in the diagram below, what is the value of x to the nearest whole number?
Answers
Answer:
[tex]x=21[/tex]
Step-by-step explanation:
See attachment for triangle
The relationship between length x, length 24 and angle 30 is as follows:
[tex]\cos(\theta) = \frac{Adjacent}{Hypotenuse}[/tex]
In this question;
[tex]Adjacent = x[/tex]
[tex]Hypotenuse= 24[/tex]
[tex]\theta = 30[/tex]
Substitute these values in the above expression,
[tex]\cos(30) = \frac{x}{24}[/tex]
Multiply through by 24
[tex]24 * \cos(30) = \frac{x}{24} * 24[/tex]
[tex]24 * \cos(30) = x[/tex]
Reorder:
[tex]x = 24 * \cos(30)[/tex]
[tex]x = 24 * 0.8660[/tex]
[tex]x = 20.784[/tex]
[tex]x=21[/tex] --- approximated
Brianna hoped to get 100 pumpkins from her garden this year. Since the weather was really great, 20% more pumpkins grew than expected. Unfortunately, animals ate 30% of all the pumpkins that grew.
How many pumpkins were left?
Answers
9514 1404 393
Answer:
84
Step-by-step explanation:
Assuming that "hoped for" and "expected" are the same number, The number Brianna has remaining is ...
100(1 +20%)(1 -30%) = 100(1.2)(0.7) = 100(0.84) = 84
84 pumpkins were left.
Simplify the expression.
4(-8x + 5) – (-33x – 26) = ______
Answers
Answer:
14+33x
Step-by-step explanation:
you have to break it up
4x(-3)+33x+26 MILTIPLY
-12+33x+26 CALCULATE
Solution is 14+33x
I HOPE THIS HELPS YOU
Solve the rational equation x over 4 equals x squared over quantity 3 times x plus 3 and check for extraneous solutions.
x = 1; x = 0 is an extraneous solution
x = 0; x = −1 is an extraneous solution
x = 0 and x = 1
x = 0 and x = −1
Answers
Answer:
x is -9 is an extraneous solution
Step-by-step explanation:
Given the expression
x/4 = x²/3(x+3)
We are to find the value of x
Cross multiply
3x(x+3) = 4x²
3x²+9x = 4x²
3x²-4x² = 9x
-x² = 9x
-x = 9
x = -9
Hence the value of x is -9 is an extraneous solution
okay last one haha i promise
Answers
Answer:
B) x = -2 or x = 3/5
General Formulas and Concepts:
Pre-Algebra
Equality PropertiesAlgebra I
Standard Form: ax² + bx + c = 0FactoringSolving RootsStep-by-step explanation:
Step 1: Define
5x² + 7x = 6
Step 2: Solve for x
Rewrite [SF]: 5x² + 7x - 6 = 0Factor: (x + 2)(5x - 3) = 0Find roots: x = -2, 3/5In a car race, for every mile covered by car A, car B covered 4 miles. The ratio of the number of miles covered by car A to the number of miles covered by car B is ___.
Real answer please
Answers
is 12 : 8 and 18 : 12 equivalent ratios?
Answers
Answer:
Yes.
Step-by-step explanation:
Because 12:8=12/8=3/2.
And 18:12=18/12=3/2.
24:16 and 6:4 could be though
Write the number 0.464646464646 as a fraction let x=
Answers
Answer:
what is x?
Step-by-step explanation:
please help can't figure it out...
Match the term to its definition.
1. every two weeks.
2. a time period in which income is earned.
3. a payment based on a time period.
4. twice a month.
5. a payment based on actual working time or actual production.
biweekly
pay period
wage
salary
semimonthly
Answers
Answer:
1. biweekly
2. pay period
3. salary
4. semimonthly
5. wage
Answer:
biweekly- every two weeks
pay period- a time period in which income us earned
wage- a payment based on actual working time or actual production
salary- a payment based on time period
semimonthly- twice a month
Step-by-step explanation:
In the figure below, if the radius of circle o
is 10, what is the length of diagonal AC of
rectangle OABC?
Answers
Answer:
The length of AC is 10 units
Step-by-step explanation:
In the given circle O
∵ AOCB is a rectangle
∵ OB and AC are the diagonals of the rectangle AOCB
∵ Diagonals of the rectangle are equal in lengths
→ That means OB and AC are equal in lengths
∴ OB = AC
∵ O is the center of the circle
∵ B is a point on the circle
∴ OB is a radius of the circle O
∵ The radius of the circle is 10 units
∴ OB = 10 units
∵ OB = AC
∴ AC = 10 units
∴ The length of AC is 10 units
If the total value of the coins is 30¢, what is the missing coin?
Answers
Answer:
$70
Step-by-step explanation:
Montel has a circular garden with a diameter of 12 feet. He purchases
border stones for the circumference of his garden. Each border stone is 1 foot long. How many border stones should Montel buy?
Answers
Which theorem shows QMP=RNP?
A. ASA
B. AAS
C. SAS
D.none of the above
Answers
Answer: i believe it’s A
Step-by-step explanation:
By ASA criteria, ΔQMP is congruent to ΔRNP.
What is triangle?A triangle is a polygon with three edges and three vertices. The sum of all the angles of a triangle is 180 degrees. Mathematically -
∠x + ∠y + ∠z = 180°
The sum of two sides of a triangle is greater then the third side. Mathematically -
a + b > c
There are different types of triangles such as -
equilateral triangle , scalene triangle , isosceles triangle etc.
Given is a figure as shown in the image.
In ΔQMP and ΔRNP -
∠QPM = ∠NPR {Vertically opposite angles}
QM = NR {Given}
∠MQP = ∠NRP {Alternate interior angles}
So, by ASA criteria, ΔQMP is congruent to ΔRNP.
Therefore, by ASA criteria, ΔQMP is congruent to ΔRNP.
To solve more questions on triangles, visit the link below-
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Which of these is the best source of information about a health product?
Answers
Answer:
is there something suggested?
Find the circumference of the circle. Round your answer to the nearest hundredth. Use 3.14 or 227 for π.
There's a picture of a circle with the radius of 21 cm
Picture of the circle:
Answers
Answer:
65.94cm
Step-by-step explanation:
The two equivalent equations to find the circumference of a circle are:
Circumference = 2 * pi * radius
Circumference = pi * diameter
Since the diameter of the circle is given, in order to find circumference, plug in 21cm into the 2nd equation:
Circumference = pi * diameter = pi * 21 cm = 3.14 * 21 = 65.94 cm
You can drive 300 miles in 5 hours. At this rate, how long will it take you to drive 150 miles?
Answers
Answer:
2.5 hours
Step-by-step explanation:
The ratio - 300: 5 is the same as 60:1
150:x should equal 60:1
You divide 150 by 60 to get your answer
Answer:
2.5 hours
Step-by-step explanation:
Just divide 5 by 2 to get the same ratio! Hope this helps
Which algebraic representation of a transformation on a coordinate grid does not preserve congruence A (x,y)-(x+6,y+6 .B(x,y)-(-x,y)C(x,y)-(6x,6y)D(x,y)-(-y,x)
Answers
Answer:
It’s A
Step-by-step explanation:
A rectangle has a width of 3 units and a length of 4 units. Nancy needs to increase both the length and the width of the rectangle by 2 units.
Image_8672
Which statement describes how the area of the rectangle will change?
Answers
Step-by-step explanation:
The length of a rectangle, l = 3 units
The breadth of a rectangle, b = 4 units
Nancy needs to increase both the length and the width of the rectangle by 2 units.
The area of a rectangle is given by
A = length(l) × breadth(b)
Here,
A = 3 × 4
= 12 unit²
If both length and width of the rectangle increase by 2 units,
New length = (4+2) = 6 units
New width = (3+2) = 5 units
New area = 6 × 5 = 30 unit²
Hence, new area becomes 30 unit².
the temperature of the coffee depends on the number of minutes it sits on the desk
Answers
Answer:
um D I really hope this helps
Step-by-step explanation:
: a p e x
2. The Youngs decided to book the room at the price that Mrs. Young was given, $1879, because it included breakfast for both of them for the entire stay. The travel agent could not match that price. At the end of the trip, Mr. Young received a bill showing a pre-tax amount of $1879. The tax is 8.5%. When the Youngs went to check out, they told the front desk that the refrigerator in the room had not worked during the majority of their time there. The hotel decided to give them a 5% discount off the pre-tax amount. Mr. Young says the new total will be $1944.77. He shows Mrs. Young how he found the new total.
Since we have to add 8.5% tax and subtract 5% for the discount, this means we will add 3.5% in the end.
8.5 − 5 = 3.5
Therefore, we just need to multiply the cost of the room by 3.5% and add this number to the cost of the room to determine what we owe.
3.5% x 1879= 0.035 x 1879= 65.765, which rounds to $65.77.
Add $65.77 to the total $1879 to get $1944.77.
Explain why Mr. Young’s calculations are incorrect. What is the correct total? Show your work. Round your answers to the nearest cent.
Answers
Answer:
yes
Step-by-step explanation:
Factor the expression using the GCF.
42 – 12 =
Answers
The factors of the expression 42 - 12 are 2(21 - 6), 3(14 - 4), 6(7 - 2).
What are GCF and distributive property?The GCF of two or more than two numbers is the highest number that divides the given two numbers completely.
We also know that distributive property states a(b + c) = ab + ac.
Given, We have to factor 42 - 12.
Now, Factors of 12 are 1, 2, 3, 4, 6 and 12.
Factors of 42 are 1, 2, 3, 6, 7, 14, 21 and 42.
Common factors of 12 and 42 are 2, 3 and 6.
So, 42 - 12.
= 2(21 - 6).
= 3(14 - 4).
= 6(7 - 2).
learn more about GCF here :
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The factored form of the expression 42 - 12 using the GCF is 6(7 - 2).
To factor the expression 42 - 12 using the greatest common factor (GCF), we need to find the largest number that divides both 42 and 12.
First, let's find the prime factorization of both numbers:
42 = 2 x 3 x 7
12 = 2 x 2 x 3
Now, let's find the common factors:
The common factors are 2 and 3.
Next, let's determine the GCF by multiplying the common factors:
GCF = 2 x 3 = 6
Finally, we can factor out the GCF from the expression:
42 - 12 = 6 x (7 - 2)
Therefore, the factored form of the expression 42 - 12 using the GCF is 6(7 - 2).
Learn more about prime factorization click;
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A sample of 11 students using a Ti-89 calculator averaged 31.5 items identified, with a standard deviation of 8.35. A sample of 12 students using a Ti-84 calculator averaged 46.2 items identified, with a standard deviation of 9.99. Can we conclude that the mean number of times identified with the Ti-84 calculator exceeds that of the Ti-89 calculator by more than 1.80
Answers
Answer:
We reject H₀, with CI = 90 % we can conclude that the mean numbers of times identified with Ti-84 does not exceed that of the Ti-89 by more than 1,80
Step-by-step explanation:
Ti-89 Calculator
Sample mean x = 31,5
Sample standard deviation s₂ = 8,35
Sample size n₂ = 11
Ti-84 Calculator
Sample mean y = 46,2
Sample standard deviation s₁ = 9,99
Sample size n₁ = 12
t(s) = ( y - x - d ) / √s₁²/n₁ + s₂²/n₂
t(s) = 12,9 / √(99,8/12) + (69,72/11)
t(s) = 12,9 / √8,32 + 6,34
t(s) = 12,9 / 3,83
t(s) = 3,37
Test Hypothesis
Null Hypothesis H₀ y - x > 1,80
Altenative Hypothesis Hₐ y - x ≤ 1,80
We have a t(s) = 3,37
We need to compare with t(c) critical value for
t(c) α; n₁ +n₂-2 df = 12 +11 -2 df = 21
If we choose CI = 95 % then α = 5 % α = 0,05
From t-student table
t(c) = 1,72
t(s) = 3,37
t(s) >t(c)
t(s) is in the rejection region therefore we accept Hₐ with CI = 95 %
What is the slope of (-3,-5)
(-6.-11)
Answers
Answer:3
Step-by-step explanation:
Use equation for slopes: y1- y2/ x1_ x2=
-11-(-5)/-3-(-6)=3
There are eight nickels and five dimes in your pocket. You randomly pick a coin out of your pocket and then return it to your pocket. Then you randomly pick another coin. Both times the coin is a nickel.