please help me..
here is a part of a proof that chen wrote. what is his error?
(refer to the picture)
Answers
Answer:
<A is not congruent to angles B or C
Step-by-step explanation:
AB ~AC Given
<B ~ <C isosceles Triangle Theorem
The length of the side AB and AC will be congruent with each other. Then the triangle ΔABC will be an isosceles triangle.
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 two triangular legs and their opposing angles are congruent in an isosceles triangle.
In triangle ΔABC, then the length of the side AB and AC will be congruent to each other.
AB = AC
Then the triangle ΔABC will be an isosceles triangle.
More about the triangle link is given below.
https://brainly.com/question/25813512
#SPJ2
Related Questions
Can someone pls help me
Answers
Answer:
6
Step-by-step explanation:
[tex] {(3 \sqrt{13}) }^{2} - {9}^{2} = {x}^{2} \\ 9(13) - 81 = {x}^{2} \\ 117 - 81 = {x}^{2} \\ 36 = {x}^{2} \\ x = 6
Use Pythagorean theorem
[tex]\\ \sf\longmapsto P^2=H^2-B^2[/tex]
[tex]\\ \sf\longmapsto P^2=(3√13)^2-9^2[/tex]
[tex]\\ \sf\longmapsto P^2=117-81[/tex]
[tex]\\ \sf\longmapsto P^2=36[/tex]
[tex]\\ \sf\longmapsto P=6[/tex]
PLEASE HELP what is the term what is A in the sequence and what is the common ratio
for 3 9 27 54
Answers
A jumping spider's movement is modeled by a parabola. The spider makes a single jump from the origin and reaches a maximum height of 10 mm halfway across a horizontal distance of 80 mm.
Part A: Write the equation of the parabola in standard form that models the spider's jump. Show your work. (4 points)
Part B: Identify the focus, directrix, and axis of symmetry of the parabola. (6 points)
Answers
The spider's movement is an illustration of a parabola.
The equation of the parabola is: [tex]\mathbf{y = -\frac{1}{320}(x - 80)^2 + 20}[/tex]The focus of the parabola is [tex]\mathbf{Focus = (80 ,-60)}[/tex]The directrix is: [tex]\mathbf{y = 100}[/tex].The axis of symmetry is: [tex]\mathbf{x = 80}[/tex](a) The equation
The spider passes through the origin.
So, we have:
[tex]\mathbf{(x,y) = (0,0)}[/tex]
The spider jumps to a maximum height of 20mm, midway 160mm.
So, the vertex is:
[tex]\mathbf{(h,k) = (80,20)}[/tex]
The equation of a parabola is:
[tex]\mathbf{y = a(x - h)^2 + k}[/tex]
So, we have:
[tex]\mathbf{0 = a(0 - 80)^2 + 20}[/tex]
[tex]\mathbf{0 = 6400a + 20}[/tex]
Subtract 20 from both sides
[tex]\mathbf{6400a =- 20}[/tex]
Solve for a
[tex]\mathbf{a =- \frac{1}{320}}[/tex]
Substitute [tex]\mathbf{a =- \frac{1}{320}}[/tex] and [tex]\mathbf{(h,k) = (80,20)}[/tex] in [tex]\mathbf{y = a(x - h)^2 + k}[/tex]
[tex]\mathbf{y = -\frac{1}{320}(x - 80)^2 + 20}[/tex]
(b) The focus, directrix and the axis of symmetry
The focus of a parabola is:
[tex]\mathbf{Focus = (h,k+p)}[/tex]
Where:
[tex]\mathbf{p = \frac{1}{4a}}[/tex]
So, we have:
[tex]\mathbf{p = \frac{1}{4\times -1/320}}[/tex]
[tex]\mathbf{p = -\frac{320}{4}}[/tex]
[tex]\mathbf{p = -80}[/tex]
So, we have:
[tex]\mathbf{Focus = (80 , 20-80)}[/tex]
[tex]\mathbf{Focus = (80 ,-60)}[/tex]
The axis of symmetry is:
[tex]\mathbf{x = h}[/tex]
So, we have:
[tex]\mathbf{x = 80}[/tex]
The directrix is:
[tex]\mathbf{y = k - p}\\[/tex]
So, we have:
[tex]\mathbf{y = 20+80}[/tex]
[tex]\mathbf{y = 100}[/tex]
Read more about parabolas at:
https://brainly.com/question/5430838
Look at the point in the picture. What is the y coordinate?
(3,-2)
Answers
Answer:
-2
Step-by-step explanation:
It's (x,y)
Here, (3,-2)
-2 is y
:)
5/4 divided by 10 plzzzzzzz
Answers
Answer:
0.125
Step-by-step explanation:
Hope it helps
Answer:
(5/4) / 10
= (5×10)/4
= 50 / 4
= 25/ 2
= 12.5
Step-by-step explanation:
brainliest plz
The next model of a sports car will cost 4.1%, more than the current model. The current model costs $58,000 How much will the price increase in dollars? What
will be the price of the next model?
Answers
Answer:
$60378
Step-by-step explanation:
$58,000 represents 100% of the original cost
100 + 4.1= 104.1% = 104.1/100 = 1.041
Multiplying by 1.041 gives the cost after the increase
price = 53000 x 1.041 = $60378
Find range of the real function
[tex]f = \left \{ \bigg(x, \: \dfrac{ {x}^{2} }{ {x}^{2} + 1} \bigg) : x \: \in \: R \right \}[/tex]
from R into R.
Answers
Step-by-step explanation:
[tex] \large\underline{\sf{Solution-}}[/tex]
Given function is
[tex]\rm \longmapsto\:f = \bigg(x, \: \dfrac{ {x}^{2} }{ {x}^{2} + 1} \bigg) : x \: \in \: R[/tex]
To find the range of the function f, Let assume that
[tex]\rm \longmapsto\:y = \dfrac{ {x}^{2} }{ {x}^{2} + 1} [/tex]
[tex]\rm \longmapsto\: {yx}^{2} + y = {x}^{2} [/tex]
[tex]\rm \longmapsto\: {yx}^{2} - {x}^{2} = - y[/tex]
[tex]\rm \longmapsto\: - {x}^{2} (1 - y) = - y[/tex]
[tex]\rm \longmapsto\: {x}^{2} (1 - y) = y[/tex]
[tex]\rm \longmapsto\: {x}^{2} = \dfrac{y}{1 - y} [/tex]
[tex]\rm\implies \:x = \sqrt{\dfrac{y}{1 - y} } [/tex]
For x to be defined,
[tex]\rm \longmapsto\:y \geqslant 0 \: \: and \: \: 1 - y > 0[/tex]
[tex]\rm \longmapsto\:y \geqslant 0 \: \: and \: \: - y > - 1[/tex]
[tex]\rm \longmapsto\:y \geqslant 0 \: \: and \: \: y < 1[/tex]
[tex]\bf\implies \:y \: \in \: [0, \: 1)[/tex]
Hence,
[tex]\bf\implies \:Range \: of \: f \: \in \: [0, \: 1)[/tex]
i need someone help please
Answers
Answer:
Step-by-step explanation:
a) vertex = (3, 18).
b) This tells us that the doorway is 8 units high.
c) Y intercept is at (0, 0).
d) x intercepts are (0, 0) and (6, 0).
e) The base is horizontal.
prove cos a = 5/13 pls solve it and no link pls..........
Answers
Answer : The demonstration is below :)
Step-by-step explanation :
We use Pythagoras' theorem :
In the triangle ABC we have :AB² = AC² - BC² = 15² - 9² = 144 = 12²
In the triangle ABD we have :DB² = AD² - AB² = 13² - 12² = 5²
cos(a) = BD/AD = 5/13
Choose all of the ordered pairs that are solutions to the equation y = x2 + 1.
A. (-2, 5)
B. (-1,0)
7. (1, 2)
D. (2, 4)
E. (3, 10)
Answers
Answer:
A, C, E
Step-by-step explanation:
Substitute the x- coordinate of the points into the equation and if the result is equal to the y- coordinate of the point then it is a solution.
A (- 2, 5 )
y = 2² + 1 = 4 + 1 = 5 → (- 2, 5 ) is a solution
B (- 1, 0 )
y = (- 1)² + 1 = 1 + 1 = 2 ≠ 0 ← not a solution
C (1, 2 )
y = 1² + 1 = 1 + 1 = 2 → (1, 2 ) is a solution
D (2, 4 )
y = 2² + 1 = 4 + 1 = 5 ≠ 4 ← not a solution
E (3, 10 )
y = 3² + 1 = 9 + 1 = 10 → (3, 10 ) is a solution
A spinner has 8 sections: 2 purple, 2 yellow, 3 blue,
and 1 red.
What is the probability of spinning and landing on
a color that is not yellow?
6
3
P(not yellow) = 6
P(not yellow) = 6/8
P(not yellow) = 2/8
Answers
Answer:
p=6/8
Step-by-step explanation:
there are 8 sections total and 6 sections that are not yellow
you have a 6 in 8 chance of landing on a color that isn't yellow/
6/8
hope this helps!
What is the number if 4 is subtracted from sum of 1 fourth of 5 times of 8 and 10
Answers
Answer:
Answer:18.5
Step-by-step explanation:
10+8=18
18*5=90
90/4
22.5-4=18.5
Have a happy day! <3Miss Hawaii
Answer:
16
Step-by-step explanation:
sum of 8 and 10=18
5 times of sum of 8 and
10= 18×5=80
1/4 of 5 times of sum of 8 and
10= 1/4×80=20
and then subtracted 4 from
20 =20-4=16
2x( 3x + 5 ) - 3 ( 2x^{2} - 2x + 3)
Answers
Answer:
16x - 9
Step-by-step explanation:
2x(3x + 5) - 3 (2x² - 2x + 3) ← distribute parenthesis
= 6x² + 10x - 6x² + 6x - 9 ← collect like terms
= 16x - 9
Answer:
16X-9
Step-by-step explanation:
(2x)(3x)+(2x)(5)+(-3)(2x²)+(-3)(-2x)+(-3)(3)
6x²+10x+6x²+6x +-9
combine like terms
6x² +10x +-6x² +6x+-9
(6x² +6x² )+(10x+6x)+(-9)
16x+-9
16x-9
What is the two perfect squares of 237?
Answers
Answer:
What is the two perfect squares of 237?
Step-by-step explanation:
The Two perfect squares of 237
I guess It didn't have any square
although its square is 15.39480432
Expand the brackets in these expressions
1.(a²)²
2.(3c)³
3.(2z²)³
4.a(2b)²
5.5(q2)2
6.(xy)²
7. i(jk)²
Answers
Answer:
1. a^4.
2. 9c³.
3. 8z^6.
4. 4b²a.
5. 20q(if the 2 isn't an exponent)
if it is,
20q².
6.x²y².
7. j²k²i.
All the best.
Answer:
Step-by-step explanation:
[tex]1.(a^{2})^{2}= a^{2*2}=a^{4}\\\\\\2. (3c)^{3}=3^{3}*c^{3} = 27c^{3}\\\\\\3.(2z^{2})^{3}=2^{3}*(z^{2})^{3}=8z^{2*3}=8z^{6}\\\\\\4.a(2b)^{2}=a*2^{2}b^{2}=4ab^{2}\\\\\\5.5(q^{2})^{2} = 5q^{2*2}=5q^{4}\\\\\\6.(xy)^{2}=x^{2}y^{2}\\\\\\7i(jk)^{2}=ij^{2}k^{2}[/tex]
help pls
what is the slope intercept of (3,5) and (2,1)
Answers
M=4
(3,5)
5=2(3)+b
5=6+b
b=-1
order the set of numbers from least to greatest. 7.59 7.5% 7 49/50
Answers
Answer:
The correct answer is 7.5%, 7.59, 7 49/50
Step-by-step explanation:
Hope This Helps!
Answer:
7 49/50, 7.59, 7.5%
Step-by-step explanation:
7 49/50=7.98 if you solve the fraction
7.5%=0.075 if you move the decimal two places
Hope this helps :)
f(x) = -x^2-3x
find f (10)
Answers
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
f*(x)-(-x^2-3*x)=0
STEP
1
:
STEP
2
:
Pulling out like terms
2.1 Pull out like factors :
fx + x2 + 3x = x • (f + x + 3)
Equation at the end of step
2
:
x • (f + x + 3) = 0
STEP
3
:
Theory - Roots of a product
3.1 A product of several terms equals zero.
When a product of two or more terms equals zero, then at least one of the terms must be zero.
We shall now solve each term = 0 separately
In other words, we are going to solve as many equations as there are terms in the product
Any solution of term = 0 solves product = 0 as well.
Solving a Single Variable Equation:
3.2 Solve : x = 0
Solution is x = 0
Equation of a Straight Line
3.3 Solve f+x+3 = 0
Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).
"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.
In this formula :
y tells us how far up the line goes
x tells us how far along
m is the Slope or Gradient i.e. how steep the line is
b is the Y-intercept i.e. where the line crosses the Y axis
The X and Y intercepts and the Slope are called the line properties. We shall now graph the line f+x+3 = 0 and calculate its properties
Graph of a Straight Line :
Calculate the Y-Intercept :
Notice that when x = 0 the value of f is -3/1 so this line "cuts" the f axis at f=-3.00000
f-intercept = -3/1 = -3.00000
Calculate the X-Intercept :
When f = 0 the value of x is -3/1 Our line therefore "cuts" the x axis at x=-3.00000
x-intercept = -3/1 = -3.00000
Calculate the Slope :
Slope is defined as the change in f divided by the change in x. We note that for x=0, the value of f is -3.000 and for x=2.000, the value of f is -5.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of -5.000 - (-3.000) = -2.000 in f. (The change in f is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)
Slope = -2.000/2.000 = -1.000
Geometric figure: Straight Line
Slope = -2.000/2.000 = -1.000
x-intercept = -3/1 = -3.00000
f-intercept = -3/1 = -3.00000
x = 0
Can someone help me, please?
Answers
Answer:
112
Step-by-step explanation:
guys pls help me!!!!!!
Answers
Answer:
Step-by-step explanation:
i think its 64 degrees
Angles on a straight line equals 180⁰
180⁰-64⁰
116⁰
x=116⁰
Please help this is algebra one
Answers
Answer:
B
Step-by-step explanation:
When x is equal to 0, you look at the graph and you get y is equal to 3, which is choice B
8(-x - 7) > 16 I need the answer for it, I honestly don’t get it
Answers
Answer:
x > 8.125 or 8 & 1/8
Step-by-step explanation:
8( -x - 7) > 16
-8x - 49 > 16
+ 49 + 49
-8x > 65
x > 8.125 or 8 & 1/8
On the grid below draw a right triangle
with vertices at P(2, 4), Q(7, 9), and
R(10,6). what is the lengths of the three sides to the nearest tenth.
Answers
Answer: See attached image for graph
PQ: √50
QR: √18
PR: √68
Step-by-step explanation: We will use the 2D distance formula in order to get each side length. The distance formula is:
distance = √(x₂-x₁)² + (y₂-y₁)²Thus, we just apply this formula for each side length.
2 3/5 + 5 1/4 in a fraction
Answers
Step-by-step explanation:
[tex]2\frac{3}{5} +5\frac{1}{4}[/tex]
= [tex]\frac{13}{5} +\frac{21}{4}[/tex]
= [tex]\frac{52 + 105}{20}[/tex]
= [tex]\frac{157}{20}[/tex] Or [tex]7\frac{17}{20}[/tex]
Please give me a brainliest answer
If x is an odd number, which of the following is also odd? * X + 1, X + 2, 2x + 2 or 3x + 1
Answers
Answer:
x+2
Step-by-step explanation:
i put mi x as one so
....that how i get my anwser
plsssssssssssssssshelppppppppppppppppppppppppppppppppppppp
Answers
Answer:
Help with what?
Need help ASAP please <3
the table given below shows the number of miles that teddy had been runninf over some of the past ten weeks
The number of miles that he runs per week can be represented as a linear function. What would be
the rate of change of this function in miles per week?
A) 1
B) 3
C) 6
D) 10
Answers
The rate of change of this function in miles per week is 3 miles per week.
What is a expression? What is a mathematical equation?Linear function is a function whose degree is one. It is of the form -f(x) = ax + bA mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions.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.
We have a table as shown in the question.
The rate of change in miles per week is -
(19 - 13)/(3 - 1) = (22 - 19)/(4 - 3)
6/2 = 3/1
3 = 3
3
Therefore, the rate of change of this function in miles per week is 3 miles per week.
To solve more questions on Equations, Equation Modelling and Expressions visit the link below -
brainly.com/question/14441381
#SPJ2
After John worked at a job for 10 years, his salary doubled. If he started at $x, his salary after 10 years is
Oslo
2
$x + 2
$x-2
$2x
Answers
Answer:
$2x
Step-by-step explanation:
His salary doubled (x2), so you can eliminate B & C because they are + & -. You can eliminate A because that would represent his current salary. So, that leaves $2x.
Why? because using process of elimination, you know it can’t be subtraction or addition because it uses the key word doubled, meaning you’d have to multiply leaving you with 2x.
Activity:theresa's mother ask her to buy dressed chicken if a kilo of dressed chick cost
Answers
Step-by-step explanation:
450/180= 2.5 kilos
it is a one to one relationship
f(x)=x/180
where x is the amount given to her
Graph y= -3x+4
NO FILES NOR LINKS!!!
Answers
Answer:
youre gonna put 4 on x axis and -3 on y
Step-by-step explanation: