All you have to do is use the Triangle Inequality Theorem, which states that the sum of two side lengths of a triangle is always greater than the third side. If this is true for all three combinations of added side lengths, then you will have a triangle.
In triangle BCD overline BC cong overline BD ,m angle B=13x-35 , m angle C=5r-19 and m angle D=2r+14 , find x and the measure of each angle.
Answer:
136
Step-by-step explanation:
Answer:
The measure of m<B, m<C and m<D are 108, 36 and 46
Step-by-step explanation:
What are triangles?
From the triangle BCD, if BC=BD, then
m<C = m<D (Base angles are equal)
Given the following paramters:
m<C = 5x-19
m<D = 2x + 14
Hence;
5x - 19 =2x + 14
5x- 2x = 14 + 19
3x = 33
x = 11
m<B = 13x - 35
m<B = 13(11) - 35
m<B = 108 degres
m<C = 5x - 19
m<C = 55- 19
m<C = 36
m<D = 180 - 144
m<D = 36 degreees
What is the final answer?
Wayne walked from the car dealership to the post office and then from the post office to the garbage dump. How far did Wayne walk in all? garbage dump car dealer .
Answer:
I want to say seven units
Step-by-step explanation:
I believe he went 4 units up and 3 units left if he went to just the car dealership , post office and Garbage dump .
Hope I could help -
Sleepy~
2x - 5y + 3z = 27
4x + 3y - 7z=-37
x - 2y + 5z = 30
I need help solving this with cramers rule
Step-by-step explanation: answer {x,y,z} = {1,-2,5}
/ Solve equation [3] for the variable x
[3] x = 2y - 5z + 30
// Plug this in for variable x in equation [1]
[1] 2•(2y-5z+30) - 5y + 3z = 27
[1] - y - 7z = -33
// Plug this in for variable x in equation [2]
[2] 4•(2y-5z+30) + 3y - 7z = -37
[2] 11y - 27z = -157
// Solve equation [1] for the variable y
[1] y = -7z + 33
// Plug this in for variable y in equation [2]
[2] 11•(-7z+33) - 27z = -157
[2] - 104z = -520
// Solve equation [2] for the variable z
[2] 104z = 520
[2] z = 5
// By now we know this much :
x = 2y-5z+30
y = -7z+33
z = 5
// Use the z value to solve for y
y = -7(5)+33 = -2
// Use the y and z values to solve for x
x = 2(-2)-5(5)+30 = 1
What is the value of 2.4 -(-3.6)?
Answer:
6 positive
Step-by-step explanation:
if u subtract a negative you are really just adding a positive. ok? ok.
Answer:
6
Step-by-step explanation:
2.4 - (-3.6) is as if it's addition. You're subtracting a negative number, so it becomes like addition.
It's as if someone had 10 apples and left and you got the apples, so the act of removing them got you more apples.
If the complex number x = 3 + bi and |x|² = 13, which is a possible value of b?
A) 2
B) 4
C) 9
D) 10
Answer: the answer is A my guy
Step-by-step explanation: took the test
Geometry - Unit 2 Readiness Assessment
This assessment is to identify your current math knowledge. Do not worry if you do not know all of the
answers. Please try to answer every question.
1.
Which best describes the relationship between polygon GHJK and polygon G'H'J'K?
A. They are similar because polygon G'H'J'K' can
be obtained from polygon GHJK by a sequence
of transformations.
B. They are similar because the area of polygon
G'H'J'K' is the same as the area of polygon
GHJK.
C. They are NOT similar because polygon
G'H'J'K' cannot be obtained from polygon
GHJK in a single transformation.
KA
D. They are NOT similar because the orientation of
polygon G'H'J'K' is not the same as the
orientation of polyon GHIK
Answer:
1. A. They are similar because polygon G'H'J'K' can be obtained from polygon GHJK by a sequence of transformation
2. B. Reflection across the y-axis
Step-by-step explanation:
1) The coordinates of the sides of the polygon are;
G(-6, 8), H(-2, 4), J(-4, 2), and K(-8, 2)
G'(3, -1), H'(1, -3), J'(2, -4), K'(4, -4)
The length, l, of the sides are;
[tex]l = \sqrt{\left (y_{2}-y_{1} \right )^{2}+\left (x_{2}-x_{1} \right )^{2}}[/tex]
Length of GH = √((8 - 4)² + ((-6) - (-2))²) = 4·√2
Length of HJ = √((2 - 4)² + ((-4) - (-2))²) = 2·√2
Length of JK = √((2 - 2)² + ((-4) - (-8))²) = 4
Length of KG = √((2 - 8)² + ((-8) - (-6))²) = 2·√10
Similarly, we have;
Length of G'H' = √(((-3) - (-1))² + (1 - 3)²) = 2·√2
Length of H'J' = √(((-3) - (-4))² + (1 - 2)²) = √2
Length of J'K' = √(((-4) - (-4))² + ((4)- 2)²) = 2
Length of K'G' = √(((-4) - (-1))² + ((4) - 3)²) = √10
Therefore, the polygon G'H'J'K' can be obtained from the polygon GHJK by scaling down by a factor of 2, and the two polygons are similar
2) Given that the coordinates of figure 2 are (-2, 3) (-3, 5), (-4, 1), and (-6, 1), while the corresponding coordinates of figure 3 are (2, 3), (3, 5), (4, 1), and (6, 1) which is equivalent to a transformation from (x, y) to (-x, y) which is the transformation involved in a reflection across the y-axis
Both the polygons are similar because polygon G'H'J'K' can be obtained from polygon GHJK by a sequence of transformations.
Given :
Polygon GHJK and polygon G'H'J'K'.Coordinates -- G(-6,8), H(-2,4), J(-4,2), K(-8,2), G'(3,-1), H'(1,-3), J'(2,-4), and K'(4,-4).The distance formula can be used in order to determine the length of segments of the given polygon.
[tex]\rm GH=\sqrt{(-2+6)^2+(4-8)^2} =\sqrt{32}[/tex]
[tex]\rm HJ=\sqrt{(-4+2)^2+(2-4)^2} =\sqrt{8}[/tex]
[tex]\rm JK=\sqrt{(-8+4)^2+(2-2)^2} =\sqrt{16}=4[/tex]
[tex]\rm GK=\sqrt{(-8+6)^2+(2-8)^2} =\sqrt{40}[/tex]
[tex]\rm G'H'=\sqrt{(1-3)^2+(-3+1)^2} =\sqrt{8}[/tex]
[tex]\rm H'J'=\sqrt{(2-1)^2+(-4+3)^2} =\sqrt{2}[/tex]
[tex]\rm J'K'=\sqrt{(4-2)^2+(-4+4)^2} =\sqrt{4}=2[/tex]
[tex]\rm G'K'=\sqrt{(-4+1)^2+(4-3)^2} =\sqrt{10}[/tex]
Therefore, the correct option is A) They are similar because polygon G'H'J'K' can be obtained from polygon GHJK by a sequence of transformations.
For more information, refer to the link given below:
https://brainly.com/question/17756657
One Step Equations
solve for x
2.4+x=9.8
Answer:
x=7.4
Step-by-step explanation:
2.4+x=9.8
(x=9.8-2.4)
x=7.4
Answer:
7.4
Step-by-step explanation:
2.4+x=9.8
subtract 2.4 from both sides to get:
x=7.4
that's your answer :)
Can anyone help please? I just need the Y-intercept is all, Thank you!
Answer:
4.95
Step-by-step explanation:
WILL GIVE EXTRA POINTS
assignment name: transformations
Answer:
K(1,0), L(2, 3), M(-1, 4), N(-2,1)
Step-by-step explanation:
Because the points are being flipped over the x-axis the y values remain the same, but the x values are multiplied by -1. Multiplying the values by -1 will switch a negative value positive and a positive value negative. This will correctly flip the points to the opposite side of the graph.
Which expression is equivalent to -6(-2/3+2x)?
Answer:
4+(-12x)
Step-by-step explanation: Hope this helped!
ABC = EDC, AB = 7 A=40° E = ?
Answer:
This equation is unsolvable, You may have inputted it wrong. revise and try again.
Step-by-step explanation:
Tell whether the equation 5x + y = 0
represents a direct variation. If so, identify the
constant of variation.
Answer:
The equation 5x + y = 0 represents a direct variation
The constant of variation is k=-5
Step-by-step explanation:
We need to tell if the equation 5x+y=0 represents a direction variation or not.
The equation for direct variation is: [tex]\mathbf{y=kx}[/tex]
where k is constant of variation.
In the given equation:
[tex]5x+y=0\\y=-5x[/tex]
Comparing it with general equation for direct variation [tex]\mathbf{y=kx}[/tex] we get [tex]y=-5x[/tex] so equation represents direct variation.
Value of k is -5
So, the constant of variation is k=-5
Is this a function (1,17),(0,16),(0,15),(-2.17)
Answer:
no
Step-by-step explanation:
because there is two 0
Milla and Luka are 3 kilometers apart and walking toward each other. Milla's average speed is 5 kilometers per hour and Luka's is 4 kilometers per hour.
A table showing Rate in kilometers per hour, Time in hours, and Distance in kilometers. The first row shows, Milla, and has 5, t, and 5 t. The second row shows, Luka, and has 4, t, and 4 t.
Which equation can be used to find t, the time it takes for Milla and Luka to meet?
5t + 4t = 1
5t + 4t = 3
5t – 4t = 0
5t – 4t = 3
Answer:
b
Step-by-step explanation:
Answer:
its b 5t + 4t =3
Step-by-step explanation:
PLEASE ANSWER QUICKLY
Explain the steps to solve for g in the equation −1/3g+5=2 .
Answer:
g = 9. I hope that I help my buddy out :)
Answer:
g=9
Step-by-step explanation:
Step 1: Subtract 5 from both sides.
-1/3g=5-5=2-5
-1/3g=-3
Step 2: Multiply both sides by 3/(-1).
(3/-1) x (-1/3g)=(3/-1) x (-3)
ANSWER g=9
PLS ANSWER I NEED HELP ASAP RUNNING OUT OF TIME ANSWER ONLY IF U KNOW I WILL MAKE YOU THE BRANILEST.
Identify the set of ordered pairs that represents y as a function of x.
A. {(0, 0), (1, 0), (2, 4), (2, 3)}
B. {(0, 0), (1, 1), (2, 2), (3, 3)}
C. {(−1, 0), (−1, 1), (−2, 2), (0, 3)}
D. {(−1, 1), (−2, 0), (−3, 4), (−3, 3)}
Answer:
It is B
Step-by-step explanation:
the x and y are the same
Suppose the average lifetime of a certain type of car battery is known to be 60 months. Consider conducting a two-sided test on it based on a sample of size 25 from a normal distribution with a population standard deviation of 4 months.a) If the true average lifetime is 62 months and ďˇ =0.01, what is the probability of a type II error
Answer:
0.53187998
Step-by-step explanation:
We are given;
Population mean; μ = 60
Sample size; n = 25
Population standard deviation; σ = 4
Significance level; α = 0.01
Let's define the hypothesis;
Null hypothesis;H0: μ = 60
Alternative hypothesis;Ha: μ ≠ 60
Z-score for a significance level of 0.01 from tables is z = 2.575
Since it's a 2 sided test, then;
Z-score at lower limit = -2.575
Z-score at upper limit = 2.575
We know that z-score formula is;
z = (x¯ - μ)/(σ/√n)
At lower limit;
-2.575 = (x¯ - 60)/(4/√25)
-2.575 × 0.8 = x¯ - 60
-2.06 = x¯ - 60
x¯ = 60 - 2.06
x¯ = 57.94
At upper-limit;
2.575 = (x¯ - 60)/(4/√25)
2.575 × 0.8 = x¯ - 60
2.06 = x¯ - 60
x¯ = 60 + 2.06
x¯ = 62.06
the probability of a type II error is expressed as:
β = P(57.94 < x¯ < 62.06)
If the true average lifetime is 62 months, then;
β = P((57.94 - 62)/(4/√25)) < z < (62.06 - 62)/(4/√25)
β = P(-5.08 < z < 0.08)
β = P(Z < 0.08) - P(Z < -5.08)
From z-distribution table attached, we have; P(Z < 0.08) = 0.53188
Also, from z-distribution calculator online, we have;
P(Z < -5.08) = 0.0000000189
Thus;
β = 0.53188 - 0.0000000189
β ≈ 0.53187998
If p→q is true and p is true, then we know q is true.
True
False
Answer:
false
Step-by-step explanation:
Write an algebraic expression to represent each scenario.
Part A: “the sum of 6 and y”
Answer:
6 + y
Step-by-step explanation:
Here, we want to write an algebraic expression to represent the situation
Mathematically, we want to add 6 and y
The algebraic expression will be;
6 + y
It took 45 minutes to jog 5 miles. At this rate, how long did it take to jog 1
mile? *
Answer:
9 minutes
Step-by-step explanation:
45 ÷ 5 = 9
Therefore, it was 9 mins / mile
Hopefully this helped! :D
-LavenderVye
Answer:
9 minutes to jog 1 mile
Step-by-step explanation:
Time = 45
Distance = 5
Speed = [tex]\frac{Distance}{Time}[/tex]
= [tex]\frac{45}{5}[/tex]
= 9
What is the value of x in the equation -2/3x9=-3
Answer:
your equation is false
Can I have the answer to these pls
Answer:
6) 4n+w+4h-b-16
Terms: 4n, w, 4h, -b, -16
Variable: n, w, h, b
Constant: -16
Coefficients: 4, 1, 4, -1
Step-by-step explanation:
Terms:
just substitute the '+' and '-' with comma.
For example: b+4x+54+6y+22 becomes b, 4x, 54, 6y, 22
Variables:
just list the letters (only)
For example: 8y-7+2y becomes x, y
Constants:
it is the number by themselves, no letter
For example: 5-4x-8y becomes just 5
Coefficients:
the number in front of letter (dont forget the sign, also if no number such as 'b', the coefficient is 1 because we dont typically write 1, it is assumed it goes there)
For example: 6m-2n+7 becomes 6 and -2
PLSSS HELP PLSSSS IM SUFFERING IM NOT A LAZY NOR BAD STUDENT BIT THIS IS HARD FOR MEEE PLSSS HELPPP
Answer:
OOP
Step-by-step explanation:
oop oop oop oop oop oop oop oop oop oop oop oop oop oop oop oop oop oop oop oop oop oop oop oop oop oop oop oop oop oop oop oop oop oop oop oop oop oop oop oop oop oop oop oop oop oop!
X+5=3x-1 what’s the answer ?
Answer:
I believe the answer is x=3
Step-by-step explanation:
what is the slope of the line that passes through the points A(-2,-1) and D (3,5)?
Answer:
6/5
Step-by-step explanation:
m=(y2-y1) /(x2-x1)
m=(5-(-1)) / (3-(-2))
m=(5+1) /(3+2)
m=6/5
Linear equation: -1
2
(6x + 10) = 13
Step 1: –3x – 5 = 13
Step 2: –3x = 18
Step 3: x = –6
Which sequence describes the inverse operations used for steps 2 and 3 to solve the linear equation?
the addition property of equality and then the division property of equality
the addition property of equality and then the multiplication property of equality
the subtraction property of equality and then the division property of equality
the subtraction property of equality and then the multiplication property of equality
Answer:
The right answer is:
the addition property of equality and then the division property of equality
Step-by-step explanation:
Given equation and steps to solve it are:
Step 1: –3x – 5 = 13
Step 2: –3x = 18
Step 3: x = –6
In step two, -5 has to be removed from left hand side of the equation so additional property of equality will be used i.e. adding 5 on both sides
Similarly in the third step, to remove -3 with x , division property of equality will be used i.e. dividing both sides by -3
Hence,
The right answer is:
the addition property of equality and then the division property of equality
Answer:
A) the addition property of equality and then the division property of equality
Step-by-step explanation:
please help will give brainliest! :)
Answer:
it's 13 square units hope this helps
If $140.06 is charge for 47 kilowatt-hours of electricity, the rate is _________ centavos per kilowatt-hours
Answer:
2.98 centavos
Step-by-step explanation:
Divide 140.06 by 47
I have an unanswered question for 50 points right now it's pretty hard but my brother needs help he is almost in tears please I feel so bad for him
where is the question
Answer:
hi
Step-by-step explanation:
hi