Answers
Answer:
Reason 1. Given
Statement 2. <CAD is congruent to <BAD
Reason 2. Definition of angle bisector
Statement 3. Segment AD is congruent to segment AD
Reason 4. All right angles are congruent
Reason 5. ASA
Related Questions
How many solutions does the equation - 4x + 6 = 6x - 2 have?
Answers
Answer:
There is one solution
Step-by-step explanation:
4x + 6 = 6x - 2
Subtract 4x from each side
4x-4x + 6 = 6x-4x - 2
6 = 2x-2
Add 2
6+2 = 2x
8 = 2x
Divide by 2
8/2 = 2x/2
4=x
Simplify the expression 3x(2x2).
O A.
5x²
OB.
m
5
OC.
m
OD.
6x6
Answers
Answer:
6 x^3
Step-by-step explanation:
3x(2x^2).
3*2 = 6
x * x^2 = x^3
6 x^3
Please help! Correct answer only!
You can play a game with a wheel whose rim is divided into equal sections marked with the numbers from 1 to 10. If you play, the attendant will spin the wheel and a ball will land in a random section. If the number the ball lands on is odd, you win $25. If the number the ball lands on is even, you win nothing. If you play the game, what is the expected payoff?
$___
Answers
Answer:
$12.5
Step-by-step explanation:
Since there is a 50% chance of landing on an odd number, the expected payoff is 0.5*25=12.5. Hope this helps!
A student says that 5x2=20, then x must be equal to 2. Do you agree or disagree with the student? Justify your answer.
Answers
Answer:
Step-by-step explanation:
I disagree. If each side of the equation is divided by 5, the result is x2 = 4. By the square root property of equality, x = -2 or x = 2. So x could be -2 instead of 2.
Answer:
I disagree. If each side of the equation is divided by 5, the result is x2 = 4. By the square root property of equality, x = -2 or x = 2. So x could be -2 instead of 2.
Step-by-step explanation:
A rectangular prism has a length of 4 cm, a width of 6 cm, and a height of 3 cm. what is it’s volume
Answers
Answer:
72 cm³
Step-by-step explanation:
The formula for the volume of a rectangular prism is:
V = lwh
where l is the length, w is the width, and h is the height
Let's substitute the given values into this formula:
V = lwh
V = (4)(6)(3)
Solve:
V = (4)(6)(3)
V = (24)(3)
V = 72
Therefore, the volume is 72 cubic centimeters.
Answer:
The answer is 72 cm3
Step-by-step explanation:
4 times 6 times 3
24 times 3
72
;))))))
The length of a rectangle is 20 units more than its width. The area of the rectangle is x4−100.
Which expression represents the width of the rectangle?
1. x2−10 because the area expression can be rewritten as (x2−10)(x2+10) which equals (x2−10)((x2−10)+20).
2. x2+10 because the area expression can be rewritten as (x2+10)(x2−10) which equals (x2+10)((x2+10)−20).
3. x2−30 because the area expression can be rewritten as (x2+10)(x2−10) which equals (x2+10)((x2−30)+20).
4. x2+30 because the area expression can be rewritten as (x2−10)(x2+10) which equals (x2−10)((x2+30)−20).
Answers
Answer:
[tex]1. x^2-10[/tex] because the area expression can be rewritten as [tex](x^2-10)(x^2+10)[/tex]which equals [tex](x^2-10)((x^2-10)+20).[/tex]
Step-by-step explanation:
Area of the rectangle [tex]=(x^4-100)[/tex]
[tex]x^4-100=(x^2)^2-10^2\\$Applying difference of two squares: a^2-b^2=(a-b)(a+b)\\(x^2)^2-10^2=(x^2-10)(x^2+10)[/tex]
Since the length of a rectangle is 20 units more than its width.
[tex]Width: x^2-10\\Length=x^2+10=x^2-10+20[/tex]
The correct option is therefore 1.
Answer:
x2−10 because the area expression can be rewritten as (x2−10)(x2+10) which equals (x2−10)((x2−10)+20).Step-by-step explanation:
The area of the rectangle is [tex]x^{4} -100[/tex], which can be factored as [tex](x^{2} +10)(x^{2} -10)[/tex], because it's the difference of two perfect squares.
But, we know that [tex]l=20+w[/tex], where [tex]l[/tex] is the length and [tex]w[/tex] is the width.
Additionally, [tex]l=x^{2} -10+20[/tex] and [tex]w=x^{2} -10[/tex], which means [tex]l=x^{2} +10[/tex].
Therefore, the right answer is A.
Solve for X
5x-5=9x+3
Answers
Move variable to the left-hand side and change its sign
5 x - 9 x - 5 = 3
Move constant to the right-hand side and change its sign
5 x - 9 x = 3 + 5
Collect like terms
- 4 x = 3 + 5
Add the numbers
- 4 x = 8
Divide both sides of the equation by 4
X = -2
And you answer is x = - 2
Answer:
x=-2
Step-by-step explanation:
To solve the equation, we want to find out what x is. In order to do this, we have to get x by itself. Perform the opposite of what is being done to the equation. Keep in mind, everything done to one side, has to be done to the other.
5x-5=9x+3
9x is being added to 3. The opposite of addition is subtraction, so subtract 9x from both sides.
5x-9x-5=9x-9x+3
5x-9x-5=3
-4x-5=3
5 is being subtracted from -4x. The opposite of subtraction is addition, so add 5 to both sides.
-4x-5+5=3+5
-4x= 3+5
-4x=8
x is being multiplied by 4. The opposite of multiplication is division, so divide both sides by -4.
-4x/-4=8/-4
x=8/-4
x= -2
XYZ is an isosceles triangle inscribed I a circle, center O. XY=XZ= 20 and YZ=18. Calculate to 3.s.f.
a) the altitude of ∆XYZ
b) the diameter of the circle
Answers
Answer: 17.9
Step-by-step explanation:
Using Heron's formula:
Area of a triangle is given by:
√s(s-a)(s-b)(s-c)
Where a, b and c ara sides of the triangle and
S = (a+b+c) / 2
In the question above sides are :
XY=XZ= 20 and YZ=18
S = (20 + 20 + 18) / 2 = 58/2 = 29
Area = √29(29-20)(29-20)(29-18)
Area = √29(9)(9)(11)
Area = √25839
Area = 160.74513
Altitude = height(h)
Area = 0.5 × base × height
Base = yz = 18
160.74513 = 0.5 × 18 × h
160.74513 = 9 × h
h = 160.74513 / 9
h = 17.9 (3 s.f)
Write a polynomial function of least degree with zeros 1, -2, -3
Answers
Answer:
f(x) = (x - 1)(x + 2)(x + 3)
Step-by-step explanation:
The function would be f(x) = (x - 1)(x + 2)(x + 3). This is of the third degree.
A gardener made a scale drawing of a lawn with a scale factor of 1:10. The
dimensions of her drawing are 7 inches long by 3 inches wide. Her partner plans
to make another scale drawing of the lawn, but with a scale factor of 1:2.
What are the dimensions of her scale drawing?
5 of 16 QUESTIONS
The length is 0.6 inch and the width is 1.4 inches.
The length is 15 inches and the width is 35 inches.
The length is 35 inches and the width is 15 inches.
The length is 1.4 inches and the width is 0.6 inch
SUB
Answers
Answer:
The length is 35 inches and the width is 15 inches.
Step-by-step explanation:
First work of the real length of the field. Given is the ratio of drawing to original and the dimensions of the drawing. so in real life the lawn measures 70 inches in length and 30 inches in width.
Now, we have to divide this in the ratio 1:2, which gives
The length of 35 inches and the width of 15 inches.
Hope this helps
Answer:
Your answer is 3 or C.. 35 inches and width of 15 :)
Step-by-step explanation:
The triangles are congruent by SSS and HL. Triangles R S T and V W X are shown. Triangle R S T can be rotated about point S and then shifted down and to the left to form triangle V W X. Which transformation(s) can be used to map △RST onto △VWX? reflection only translation only reflection, then translation rotation, then translation
Answers
Answer:
rotation then translation
Based on the information given regarding the triangle, the transformations that can be used to map △RST onto △VWX is D. rotation, then translation.
What is a congruent triangle?It should be noted that a congruent triangle simply means when two triangles have the same sides and the same angles.
Since Triangle RST can be rotated about point S and then shifted down and to the left to form triangle VWX, the transformations that can be used to map △RST onto △VWX is rotation, then translation.
Learn more about triangles on:
https://brainly.com/question/2644832
If f ( x ) f ( x ) is a linear function, f ( − 5 ) = 0 f ( - 5 ) = 0 , and f ( 2 ) = 4 f ( 2 ) = 4 , find an equation for f ( x ) f ( x )
f(x)=________
Answers
================================================
Explanation:
We have
f(-5) = 0 and f(2) = 4
This means the two points (-5,0) and (2,4) are on this line
----------
Find the slope of the line through (x1,y1) = (-5,0) and (x2,y2) = (2,4)
m = (y2 - y1)/(x2 - x1)
m = (4 - 0)/(2 - (-5))
m = (4 - 0)/(2 + 5)
m = 4/7 is the slope
----------
Plug m = 4/7 and (x1,y1) = (-5,0) into the point-slope formula. Solve for y.
y - y1 = m(x - x1)
y - 0 = (4/7)(x - (-5))
y = (4/7)(x + 5)
y = (4/7)x + (4/7)*5
y = (4/7)x + 20/7
f(x) = (4/7)x + 20/7
This linear equation has a slope of 4/7 and a y intercept of 20/7.
The equation for f ( x ) would be; f(x) = (4/7)x + 20/7
What is the slope?The slope is the ratio of the vertical changes to the horizontal changes between two points of the line.
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
We are given f(-5) = 0 and f(2) = 4
This means the two points (-5,0) and (2,4) are on this line
To Find the slope of the line through (x1,y1) = (-5,0) and (x2,y2) = (2,4)
m = (y2 - y1)/(x2 - x1)
m = (4 - 0)/(2 - (-5))
m = (4 - 0)/(2 + 5)
m = 4/7 is the slope
Then substitute m = 4/7 and (x1,y1) = (-5,0) into the point-slope formula. Solve for y;
y - y1 = m(x - x1)
y - 0 = (4/7)(x - (-5))
y = (4/7)(x + 5)
y = (4/7)x + (4/7)*5
y = (4/7)x + 20/7
f(x) = (4/7)x + 20/7
The linear equation has a slope of 4/7 and a y intercept of 20/7.
Learn more about slope here:
https://brainly.com/question/2503591
#SPJ2
A project cost at $160 and add 20% VAT, How much does it change the job?
Answers
Answer: 192
Step-by-step explanation:
160 + (20% × 160) =
160 + 20% × 160 =
(1 + 20%) × 160 =
(100% + 20%) × 160 =
120% × 160 =
120 ÷ 100 × 160 =
120 × 160 ÷ 100 =
19,200 ÷ 100 =
Welcomeeee
The complex conjugates theorem states that
another factor of the polynomial is
Answers
Answer:
Step-by-step explanation:
...exactly the same but with a different sign separating them. For example, if a root of a polynomial is
3 + 4i, then the other root has to be 3 - 4i because they always come in pairs. Always!! If a root is -2 - 3i, then the other root has to be -2 + 3i. Notice that the only sign that will change is the one that separates the a part of the complex number from the b part.
This phenomenon also applies to radicals. If we have a root that is [tex]-3 + \sqrt{5}[/tex][tex]-3 +\sqrt{5}[/tex] then the other root has to be [tex]-3 -\sqrt{5}[/tex]
Answer:
x-3i
Step-by-step explanation:
Which is the value of this expression when x = negative 2 and y = negative 3? 10 x cubed y squared Negative 720 Negative 360 360 720
Answers
Answer:
Step-by-step explanation:
10x^3y^2
10(-2)^3 * (-3)^2 = -720
Answer: Negative 720
Step-by-step explanation:
-2 * -2 * -2 = -8
10 * -8 = -80
-3 * -3 = 9
-80 * 9 = -720
i will give brainliest. Select the 2 equations that are equal to the expression z^8. Answers in picture below.
Answers
[tex]the \: right \: options \: are \\ option \: b \\ option \: c \\ please \: see \: the \: attached \: picture \: for \: full \: solution \\ hope \: it \: helps[/tex]
pls help me fast as u can
pls
Answers
Answer:
M5 W11 C1-CLASS ASSIGNMENT-LEVEL-1
I.Convert the following into minutes
a)2 hours 12 minutes 72
b)7 hours 45 minutes 465
II.Convert the following into seconds.
a)1 hour 4 minutes 26 seconds 3866
b)2 minutes 43 seconds 163
III.
a) 246 minutes= 4 hours 6 minutes
b) 117 seconds= 1 minutes 57 seconds
Step-by-step explanation:
if its wrong sorry i tried mmy best
Help please !!!!! thank you
Answers
Answer:
C
Step-by-step explanation:
To find the product you must multiply the two expressions:
[tex](x-3)*(x+7)[/tex] Starting equation
[tex]x^{2} +7x-3x-21[/tex] Use the FOIL method to multiply the two binomials
[tex]x^{2} +4x-21[/tex] Combine like terms
Can anyone help solve this
Answers
Answer:
Step-by-step explanation:
The solution or solutions to a system are where the 2 graphs intersect each other. Our graph goes up by 2 units. The point of intersection on the left is at (-6, 8) and the point of intersection on the right is at (2, 0).
PLEASE HELP WILL MARK BRAINLIEST
Answers
Answer:
$15.70
Step-by-step explanation:
The total Cost is 101.40
The tax is 7.20 Subtract the tax
=====================
The cost of 6 CDs=94.20
1 CD costs 94.2 / 6
1 CD costs 15.70
Line CD passes through points (0, 2) and (4, 6). Which equation represents line CD?
y = 2x - 2
y = 2x + 2
y = x + 2
y = x-2
Answers
Answer:
A line in form of y = ax + b passes (0, 2)
=> 2 = 0x + b => b = 2
This line also passes (4, 6)
=> 6 = 4x + 2 => x = 1
=> Equation of this line: y = x + 2
=> Option C is correct
Hope this helps!
:)
Answer:
A line in form of y = ax + b passes (0, 2)
=> 2 = 0x + b => b = 2
This line also passes (4, 6)
=> 6 = 4x + 2 => x = 1
=> Equation of this line: y = x + 2
=> Option C is correct
Hope this helps!
:)
Step-by-step explanation:
What’s the cosine of U?
Answers
Step-by-step explanation:
The cosine of U is equal to the adjacent side divided by the hypotenuse.
cos(U) = 28/53
You can simplify it from there.
11) Type the missing number in this sequence:
49,
43,
37.
31,
19,
13
Answers
Sequence is take away 6 each time so the next three terms are....
7
1
-5
Answer:
7
Step-by-step explanation:
act
Bus leaves 9:30a.m.The journey takes 26h 20 min. What time will they arrive
Answers
Answer:
They will arrive at 11:50 am the next day
Step-by-step explanation: 24 hours is a day so add 2 hours and 20 minutes
Answer:
11:50 a.m.
Step-by-step explanation:
1/2 belongs to what family of real numbers
Answers
Answer:
1/2 belongs to the rational family of real numbers because it isn't an integer (..-1, 0, 1..) but it can be written as a fraction.
Answer:
rational numbers and real numbers
Step-by-step explanation:
Rational numbers is part of the real numbers family and so therefore it is also a real number.
The slope-intercept form of the equation of a line that passes through the point (–2, –13) is y = 5x – 3. What is the point-slope form of the equation for this line?
y – 13 = 5(x – 2)
y + 13 = 5(x + 2)
y – 2 = 5(x – 13)
y + 2 = 5(x + 13)
Answers
Answer:
y+13 = 5(x+2)
Step-by-step explanation:
y = 5x – 3
This is in slope intercept form y = mx+b so the slope is m which is 5
We have a slope and a point ( -2, -13)
Point slope form is
(y-y1) = m(x-x1)
y - -13 = 5(x--2)
y+13 = 5(x+2)
Answer:
He is right
Step-by-step explanation:
I just took the quiz on edu
If you borrow $300 for 14 years at
an annual interest rate of 4%, how
much will you pay altogether?
Answers
Answer:
$468
Step-by-step explanation:
I = P*R*T
I = 300*0.04*14
I = 168
168 + 300 = 468
could you guys help with this? thank you ;-;;
Answers
Answer:
144degrees
Step-by-step explanation:
In a regular pentagon, the sum of interior angles is 540. So one angle is 108. In the angles adjacent to x, we see two of the interior angles. We know that the angles around one point is 360. So, we add the two 108 degrees and subtract it from 360. Thus, 144.
Hope it helps
Find the value of x.
Answers
Answer:
x = -7
Step-by-step explanation:
Make an equation:
3x + 33 = 12
3x = -21
x = -7
Answer:
x = -7
Step-by-step explanation:
form an equation.
14 + x + 2x + 19 = 12
like terms together;
x + 2x = 12 - 14 - 19
simplify;
3x = -21
divide both sides by 3;
x = -7
What is the value of x in the equation - 3X+9
x+9= 3-37?
Answers
3x+9x=12x+9
3-37=-34
12x+9=-34
Cancel 9 out
12x=-43
Divide by 12
X=-3.5
