Which statement represents the biconditional statement of the conditional statements?
If an angle measures 90º, then the angle is right.
If an angle is right, then the angle measures 90º
1) An angle measures 90º if and only if the angle is right.
2) An angle does not measure 90º if and only if the angle is right.
3) An angle does not measure 90º if and only if the angle is not right.
4) An angle measures 90º if and only if the angle is not right.
Answers
Answer:
1
Step-by-step explanation:
It is the only one that makes sense!
(Apologies since this super late; I hope future students will find this helpful)
Answer:
An angle measures 90º if and only if the angle is right.
Step-by-step explanation:
See the image below :)
Related Questions
Chris
goes to a shop to buy meat, vegetables and fruit.
(a) The costs of the meat, vegetables and fruit are in the ratio
meat : vegetables : fruit = 2:2:3.
The cost of the meat is $2.40.
Calculate the total cost of the meat, vegetables and fruit.
Answers
Answer:
meat = $2.40
vegetables = $ 2.40
fruit = $2.40 + X
= 2.40 ÷ 2
= 1.2
therefore 2.40 + 1.2
=$3.6 (For fruits )
= $3.6 + $2.40 + $2.40
= $ 8.4
Hope this helps .Plzz mark me brainliest
The total cost of the meat, vegetables and fruit is $8.4.
What is the ratio?The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.
Given that, the costs of the meat, vegetables and fruit are in the ratio meat : vegetables : fruit = 2:2:3.
The cost of the meat is $2.40.
Let the total cost of the meat, vegetables and fruit be x.
Now, 2+2+3=7
So, 2/7 ×x=2.40
2x=2.40×7
2x=16.8
x=8.4
Therefore, the total cost of the meat, vegetables and fruit is $8.4.
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a new car increased in price from 78200 to 136850 what is the percentage increase
Answers
Answer:
The percentage increase is by 1.75
Step-by-step explanation:
78,200 x 1.75 = 136,850
Question
Need help rn
Use the figure to find the measures of the numbered angles.
∠1 = °
∠2 = °
Answers
Answer:
m∠1 = 107 degrees
m∠2 = 73 degrees
Step-by-step explanation:
1. ∠1 and the angle with 107 degrees are corresponding angles, which are located in the same relative position. They're congruent in measures, so m∠1 = 107 degrees.
2. ∠1 and ∠2 are a linear pair, meaning their angle measures add up to 180 degrees. Given m∠1 = 107 degrees, we just have to subtract 107 from 180 to get m∠2.
[tex]180-107[/tex] [tex]73[/tex]Therefore, m∠2 = 73 degrees.
• We do not have any angle-line relationships for angle 2. However, we know that line a and b are parallel lines giving the picture. If we look at line a, we know that it is a line, so its interior angle measure is 180° by definition of a straight line.
• So, we know that angle 1 = 107°, and we know that angle 2 must add to 107° to sum up to the angle measure of line a of 180°.
• We can call angle 2 “x” because it is unknown.
•We can create the following equation to solve for the measure of angle 2:
1.) 107+x=180
2.) 107-107+x=180-107
3.) X=73.
Therefore, the angle measures of angle 2 = 73° because 107+73 = 180.
Someone help plz make sure it’s right will make brainiest:)
Answers
Answer:
it's ether 1 or 2
cuz the slope is 1/3
Answer:
It is 2
Step-by-step explanation:
Which is y=1/3x + 10/3
Nadia says figure A id dilated to form figure A' using a scale factor of 2 and point B as the center of dilation. What mistake did Nadia make? What is the correct scale factor?
Answers
Answer:
Nadia says figure A is dilated to form figure A9 using a scale factor of 2 and point B as the center of dilation. What mistake did Nadia make? What is the correct scale factor?
Step-by-step explanation:
Walmart sells its video games for $42.99. Virginia sales tax is 5%.
A. What is the sales tax for the video game?
B. What would the total price be for the video game?
Answers
A) multiply the price of the game by 5%
42.99 x 0.05 = 2.1495 rounds to 2.15
Amount of tax = $2.15
B) add the amount of tax to the price of the game:
42.99 + 2.15 = 45.14
Total cost = $45.14
Directions: Solve each of the following problems. Show your solution. (5 points each)
1. Bailey’s rectangular dog pen for his Irish setter must have an area of 400 square feet.
Also ,the length must be 10 feet longer than the width. Find the dimension of the pen.
Answers
Answer:
400=(×+20)× is the equation or
400=×^2+20×
(×+10)= square root of 500
×+10=10 radical 5
final answer -10 + or - 10 radical 5=×
Can someone help please
Answers
four more than the quotient of a number and six. write in algebraic expression
Answers
Answer:
4+n/6 (the slash means a fraction with n on top.) <3
Step-by-step explanation:
What is the coefficient of the term of degree 4 in the polynomial?
6x3 + 2x - 5x3 + x²
Answers
the coefficient of term 4 is 2
given r||s, what is the measure of <1 ?
Answers
Step-by-step explanation:
post the full question
hope this helps you.
Consider the system of equations.
y=3x−2−7x−2y=−9
Solve the system of equations algebraically.
Answers
Answer:
(x, y) = (-5/13, -41/13)
Step-by-step explanation: (Assuming the following corrections:)
y = 3x-2
-7x-2y = 9
-7x-2(3x-2) = 9
-7x-6x+4 = 9
-13x = 5
x = -5/13
y = -5/13(3) - 2
y = -15/13 - 2 = -41/13
Colleen divided integer a by −2 and got 9. Then she divided 9 by integer b and got −3. Find the quotient of integer a and integer b.
a
b
= 6
Answers
Answer:
hen she divided 9 by integer b and got −3. Find. Colleen divided integer a by −5 and got 9. Then she divided 9 by integer b and got −3. Find the quotient of integer a and integer b. a b = Categories Uncategorized. Leave a Reply Cancel reply. Your email address will not be published.
Step-by-step explanation:
In the equation x + 10 = 22, what do you need to do to solve the problem ?
Answers
X= 22-10 = 12
It called Substract propertie
Answer:
In the given equation we need to find out the value of x to make this equation true.
First write the equationx+10 = 22Now place 10 to the other side[By placing 10 to the other side the symbol will change into -]x = 22-10Now subtract 10 from 22x = 12∴ 12 + 10 = 22Use the number line to help you decide which statement is true.
(A)
(B)
(C)
Answers
Answer:
I think it's (A). 5
I don't know
Answer:
5/8 > 1/2
Step-by-step explanation:
No need number line. Just use fraction walls
so far , a storm has traveled 35 miles in 1/2 hour. if its currently 5:00pm and the storm is 105 miles away from you , at what time will the storm reach you ? explain your answer
Answers
Answer:
hey do you want money if yes then tell me I will give you 1000$
Match the pairs of equivalent expressions.
Answers
i would say y + 2/5y is the equivalent expression of 7/5y and y - 2/5y is the quivalent expression of 3/5y but im not sure
ive answered a and b but struggling to answer c. how do you work it out?
Answers
Answer:
-2, 1.5
Step-by-step explanation:
(y1 + y2)/2 = y midpoint formula
so, (-1 + 4) = 3
3 / 2 = 1.5
y = 1.5
Step-by-step explanation:
To find the midpoint:
Use the formula;
d = (x2 + x1)/2, (y2 + y1)/2 where x2 = -2, x1 = -2, y1 = -1, y2 = 4
Substitute the values into the equation above. This gives;
d = (-2 + -2)/2, (4 + -1)/2
= (-4/2), (3/2)
=(-2, 1.5) <<<<<<< ✓ Ans
I hope this helps. Thank you
Here's a question ~
can anyone give the explanation ?
Answers
Answer:
See belowStep-by-step explanation:
As per the question we have:
The y - intercept is b = -1The slope has same angle with x- and y - axis.This can be a function with the slope of m = 1 or m = - 1 as these lines must be perpendicular to each other and make 90°/2 = 45° or 45° + 90° = 135° angle with the x- or y- axis.
So the lines could be:
y = x - 1 ory = -x - 1Lines must be perpendicular to each other as they are cutting at y intercept -1
Slope intercept form of line
for slope -1
y=-x-1For slope 1
y=x-1
In triangles ABC and AWXY, ZA= Wand ZB= ZX.
Which of the following must to be true to prove AABC= AWXY by the AAS
theorem?
A. ZCZY
B. BC XY
O
C. AB BC
D. ABW
Answers
Answer:
c
Step-by-step explanation:
The solution is, C. AB = WX, must to be true to prove AABC= AWXY by the AAS theorem.
What is Triangle?A polygon with three edges and three vertices is called a triangle. It is one of the fundamental geometric shapes. Triangle ABC is the designation for a triangle with vertices A, B, and C. In Euclidean geometry, any three points that are not collinear produce a distinct triangle and a distinct plane.
here, we have,
We are given,
Triangles ABC and WXY having ∠A=∠W and ∠B=∠X
Now, it is give that the triangles hold AAS theorem.
Since, we already have two corresponding angles equal i.e. ∠A=∠W and ∠B=∠X.
So, by AAS Theorem, the corresponding sides between these angles must be equal.
Thus, we have, AB = WX.
Hence, option C is correct. C. AB = WX, must to be true to prove AABC= AWXY by the AAS theorem.
Learn more about Triangle congruency click here:
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will mark brainliest
Answers
Answer:
115
Step-by-step explanation:
What is the value of 2.3+8−12?
1.) 10.8
2.) 10.3
3.) 9.8
4.) 9.5
Answers
Answer:
2
Step-by-step explanation:
to answer this algebraic question use BDMAS rule
first solve bracket then division, multiplication,addition then subtraction.
6+8-12
14-12
2
Answer:
9.8
Step-by-step explanation:
convert your decimal into a fraction so 2.3= 23/10
23/10 + 8 - 1/2
then calculate your sum or difference
leaving you with
49/5
meaning your answer is
9.8
Given the definitions of f(x)f(x) and g(x)g(x) below, find the value of (f\circ g)(2).(f∘g)(2). f(x)= f(x)= \,\,-5x-11 −5x−11 g(x)= g(x)= \,\,2x^2+2x-5 2x 2 +2x−5
Answers
identify the errors made in finding the inverse of y = x2 + 12x. An image shows a student's work. Line 1 is x = y squared + 12 x. Line 2 is y squared = x minus 12 x. Line 3 is y squared = negative 11 x. Line 4 is y = Start Root negative 11x End Root, for x greater-than-or-equal 0.
Answers
solving for the inverse of y = x² + 12x
Line 1: x = y² + 12 x.
Line 2 y² = x - 12 x.
Line 3 is y²= - 11 x.
Line 4 is y = √(- 11x) for x ≥ 0.
The error lies in Line 1. All x's have to be switched with y's and vice versa for the method to work.
As such Line 1 should be x = y² + 12y NOT (x = y² + 12 x)
Since Line one is wrong, it messes with all the other lines.
Choose the correct answer
Answers
Answer:
b) 50 degrees
Step-by-step explanation:
I'm not sure if it 100% correct but this is what i remember:
BCE is a straight line and a straight line is equal to 180 degrees.
If AB=AC then the angle of both those corners will be 180-115
which equals to 65 degrees (both angles)
Now because all corners of a triangle add up to 180
you can do 180-65-65 which is 180-130
this equals to the angle BAC which is 50 degrees
Which equation has only one unique solution?
A.
|3 − x| = 3
B.
|x − 2| − 7 = 7
C.
-4|x| + 1 = -3
D.
9 − |2x − 1| = 9
Answers
The equation with only one unique solution is 9 − |2x − 1| = 9, with the solution x = 1/2. D.
To determine which equation has only one unique solution, let's analyze each equation:
|3 − x| = 3
In this equation, the absolute value term represents a distance.
By setting up two cases, where the absolute value is positive and negative, we can find the solutions.
Case 1:
3 - x = 3
Solving for x, we have x = 0.
Case 2:
x - 3 = 3
Solving for x, we have x = 6.
Thus, this equation has two solutions.
|x − 2| − 7 = 7
Similar to equation A, the absolute value term represents a distance.
By adding 7 to both sides, we have |x - 2| = 14.
This equation implies that the distance between x and 2 is 14.
There are two possible values for x: x = 2 + 14 = 16 and x = 2 - 14 = -12.
This equation has two solutions.
-4|x| + 1 = -3
To solve this equation, we isolate the absolute value term:
-4|x| = -4
Dividing both sides by -4:
|x| = 1
The absolute value of any number is always positive or zero.
The equation |x| = 1 has two solutions: x = 1 and x = -1.
9 − |2x − 1| = 9
The absolute value term represents a distance.
Subtracting 9 from both sides, we have |2x - 1| = 0.
The only way the absolute value of a real number can be equal to zero is if the number inside the absolute value is zero.
Thus, we set 2x - 1 = 0 and solve for x:
2x - 1 = 0
2x = 1
x = 1/2
Equation D has only one unique solution: x = 1/2.
For similar questions on unique solution
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If cosec ∅ = √2, find the value of 1+sin²∅+cos²∅/1+sec²∅-tan²∅.
Answers
Given: [tex]cosec[/tex] [tex]A[/tex] [tex]=\sqrt{2}[/tex]
∴ [tex]A=\frac{\pi }{4} =45^{0}[/tex]
[tex]sin[/tex] [tex]A[/tex] [tex]=sin[/tex] [tex]45^{0}[/tex] = [tex]\frac{1}\sqrt{2}[/tex]
[tex]cot[/tex] [tex]A[/tex] [tex]=cot[/tex] [tex]45^{0}[/tex] [tex]=1,[/tex]
[tex]tan[/tex] [tex]A[/tex] [tex]=[/tex] [tex]tan[/tex] [tex]45^{0}[/tex] [tex]=1[/tex]
[tex]cos[/tex] [tex]A[/tex] [tex]=[/tex] [tex]cot[/tex] [tex]45^{0}[/tex] [tex]=\frac{1}{\sqrt{2} }[/tex]
∴ [tex]=2[/tex]
[tex]\large\underline{\sf{Solution-}}[/tex]
METHOD 1: Using Trigonometric values.
We have given that,
[tex]\sf\cosec\theta=\sqrt2[/tex]
So,
[tex]\sf\theta=45^{\circ}[/tex]
We need to find:
[tex]\sf\dfrac{1+\sin^2\theta+\cos^2\theta}{1+\sec^2\theta-\tan^2\theta}[/tex]
So,
[tex]\sf\longmapsto\dfrac{1+\sin^2(45^{\circ})+\cos^2(45^{\circ})}{1+\sec^2(45^{\circ})-\tan^2(45^{\circ})}[/tex]
[tex]\sf\longmapsto\dfrac{1+\left(\frac{1}{\sqrt2}\right)^2+\left(\frac{1}{\sqrt2}\right)^2}{1+(\sqrt2)^2-(1)^2}[/tex]
[tex]\sf\longmapsto\dfrac{1+\frac{1}{2}+\frac{1}{2}}{1+2-1}[/tex]
[tex]\sf\longmapsto\dfrac{1+1}{2}[/tex]
[tex]\sf\longmapsto\dfrac{2}{2}[/tex]
[tex]\sf\longmapsto\bf1[/tex]
METHOD 2: Using Trigonometric Identities
We need to find:
[tex]\implies\dfrac{1+\sin^2\theta+\cos^2\theta}{1+\sec^2\theta-\tan^2\theta}[/tex]
But, we know that,
[tex]\sf\red⇛ \sin^2\phi+\cos^2\phi=1[/tex]
And,
[tex]\sf\red⇛ \sec^2\phi-\tan^2\phi=1[/tex]
So,
[tex]\sf\longmapsto\dfrac{1+(\sin^2\theta+\cos^2\theta)}{1+(\sec^2\theta-\tan^2\theta)}[/tex]
[tex]\sf\longmapsto\dfrac{1+1}{1+1}[/tex]
[tex]\sf\longmapsto\dfrac{2}{2}[/tex]
[tex]\sf\longmapsto\bf1[/tex]
Therefore, by both methods the answer is 1.
Learn more:
Similar questions
Prove that:
\cos( \frac{3\pi}{2} + \theta) \cos(2\pi + \theta) [ \cot( \frac{3\pi}{2} - \theta) + \cot(2\pi + \theta) ] = 1...
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hoose the statement that describes its
solution.
3(x + 8) - 9x = 6(4- x)
O There is no solution.
оо
There is only one solution.
ws
о
All real numbers are solutions.
Answers
Answer:
3rd option
Step-by-step explanation:
3(x + 8) - 9x = 6(4 - x) ← distribute parenthesis on both sides
3x + 24 - 9x = 24 - 6x , collect like terms on left side )
24 - 6x = 24 - 6x
Since both sides are the same then any value of x will make the equation true.
That is all real numbers are solutions
Answer: C g(x) is a function because f(x) is one-to-one.
Step-by-step explanation:
Sarah has $31,000 in a savings account. The interest rate is 8% per year. How much simple interest will she earn in 5 years?
Answers
Answer:
$12,400
Step-by-step explanation:
Interest = Principal x Rate x Time (in years)
I = 31000 x .08 x 5
I = 12,400
Someone please help me!
Answers
Answer:
Look when angle 3= angle B
It would make AD parallel to BC
Step-by-step explanation:
So go with
AD//BC
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