Answers
Answer:
These pairs are called vertical angles, and they always have the same measure. ∠1 and ∠3 are vertical angles. ∠2 and ∠4 are vertical angles.
Angle 1 and angle 3 are on the same side of the two parallel lines with a transversal line on them.
The special angle pair relationship between 1 and 3 is called the corresponding angles.
What are corresponding angles?Corresponding angles are angles that occur on the same side of the transversal line and are equal in size.
We have,
Angle 1 and Angle 3.
The angles are on the same side of the two parallel lines with a transversal line on them.
The angles can be called the corresponding angles.
Thus,
The special angle pair relationship between 1 and 3 is called the corresponding angles.
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Related Questions
Using the graph as your guide, complete the following statement.The discriminant of the function is _____.
A.zero
B.positive
C.negative
Answers
The discriminant of the function will be negative.
Option C is true.
What is mean by Discriminant?
The discriminant of the function describe the roots of the function.
Which is defined as for a quadratic equation ax² + bx + c = 0;
D = b² - 4ac
Given that;
The graph of the function is shown in attached figure.
Now,
When the graph has any x - intercepts then the function has a real roots, so the discriminant must be positive.
Here, From the given graph of the function,
We have the function which have no any x - intercept, that is do not cross the x - axis at any point.
Hence, The graph of the function has no real roots.
Thus, We can say that;
The discriminant must be negative.
Therefore, The discriminant of the function is negative.
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Four fifths of the product of x² and y
Answers
Answer:x^2*y/(4/5)
Step-by-step explanation:
That's the equation. Your question is the word form.
Which list orders the numbers from least to greatest?
O√13, 2.1, 5.4, √/17, T
OT, 3.2, 6.3, √/17, √20
√23, 2.6, 1.3, √30, π
T, √15, 4.1, 4. 85, √30 savvas
Answers
The list which orders the numbers from least to greatest is π, √15, 4.1, 4. 85, √30.
To find the list which orders the numbers from smallest to largest we need to find the values of the respective numbers,
In the first list, we have the numbers √13, 2.1, 5.4, √/17, π. The value of √13 = 3.6 and the next term is 2.1. As 2.1 < 3.6, the list does not arrange numbers in increasing order.
In the second list, we have the numbers π, 3.2, 6.3, √17, √20. The value of π is 3.14 and the next terms are 3.2 and 6.3 which are more than the former. But the value of √17 is 4.1 which is less than the previous number 6.3.
In the third list,√23, 2.6, 1.3, √30, π the numbers are not arranged in increasing order as √23's value is 4.8 more than the second number.
In the fourth list, π,√15, 4.1, 4. 85, √30 the numbers are arranged in increasing order when calculated. The value of π is 3.1, of √15 is 3.8, then there are 4.1 and 4.85, and at last, is √30 whose value is 5.5.
Hence, π <√15 < 4.1 < 4. 85 <√30 is the list in the increasing order.
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10 oranges and 20 grapefruits weigh 35 pounds total. 16 oranges and 10grapefruits weigh 23 pounds total. How much would 13 oranges and 15grapefruits weigh?A 28 poundsB 29 poundsC 30 poundsD 58 pounds20 Illuminate Education, Inc.
Answers
First, we will find the weight of each oranges and grape fruit
Let x be the unit weight of orange
Let y be the unit weight of grape fruit
If "10 oranges and 20 grapefruits weigh 35 pounds total"
Then this implies;
10x + 20 y = 35 -----------------(1)
And
If " 16 oranges and 10 grapefruits weigh 23 pounds total"
This implies;
16x + 10y = 23 ---------------------(2)
We can solve the two equations simultaneously.
Using elimination method;
we eliminate y and to do that, the y variables in the two equations must be same, Hence we can achieve that by multiply equation (1) by 10 and then multiply equation (2) by 20
100x + 200y = 350 ----------------------------(3)
320x + 200y = 460 ------------------------------(4)
subtract equation (3) from equation (4)
220x = 110
divide both-side of the equation by 220
x = 0.5
substitute x=0.5 into equation(1) and then solve for y
10(0.5) + 20y = 35
5 + 20y = 35
subtract 20 from both-side of the equation
20y = 35 - 5
20y = 30
divide both-side of the equation by 20
y = 1.5
"13 oranges and 15 grape fruits" = 13 x + 15y
substituting x = 0.5 and y= 1.5 in the above;
13(0.5) + 15(1.5)
=6.5 + 22.5
=29
Hence;
13 oranges and 15 grapefruits will weigh 29 pounds
I am less than a whole. I am 3 decimal places.when rounded to the nearest tenth I am 0.78.what number am i
Answers
The number that is less than a whole, in 3 decimal places and when rounded to the nearest tenth is 0.78 will be 0.775.
When is a decimal?A fraction expressed in a particular way is called a decimal. As an alternative to expressing 1/2, you might write 0.5 instead, with the zero in the ones place and the five in the tenths position. The word decimus, which means tenth in Latin, is derived from the base word decem, or 10.
It should be noted that 0.775 is in 3 decimal places. In this case, the last 5 will be converted and this will become 0.78.
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Error Analysis - Describe the error in a sentence or two. Then, solve the problem
correctly.
13. If f(x)=2x-1, then find the x-value so that f(x) = 21.
A f(21) = 2(21)-1
B
f(21) = 42 - 1
C
f(21) = 41
The error was in line A, B, or C
The correct answer is [ans]
Answers
Answer:
The error is in line A. f(x), not x, is equal to 21.
f(x) = 2x - 1 = 21
2x = 20, so x = 10.
PLEASE HELP ME
(03.03 MC)
A bacteria is growing by a factor of 2 every hour from 1 p.m. to 11 p.m. The function below shows the number of bacterial cells, f(x), after x hours from 1 p.m.: f(x) = 20(2)* Which of the following is a reasonable domain for the function?
A. All positive integers
B. 1≤x≤ 11
C. 0≤x≤ 20
D. 0≤x≤ 10
Answers
Answer:
D. 0 ≤ x ≤ 10
Step-by-step explanation:
I took the quiz.
The domain of the function is 0 ≤ x ≤ 10 if the function is f(x) = 20(2)ˣ which represnts the exponential function option (D) is correct.
What is an exponential function?It is defined as a function that rapidly increases and the value of the exponential function is always positive. It denotes with exponent y = a^x
where a is a constant and a>1
It is given that:
A bacteria is growing by a factor of 2 every hour from 1 p.m. to 11 p.m.
The function is:
f(x) = 20(2)ˣ
The value of x represents the domain of the exponential function.
The domain of the function is:
0 ≤ x ≤ 10
Thus, the domain of the function is 0 ≤ x ≤ 10 if the function is f(x) = 20(2)ˣ which represnts the exponential function option (D) is correct.
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Find the common ratio 2,2/3,2/9,2/27,2/81
Answers
and the first term is 2
so the answer is 3
Solve for n. −2(n − 3.5) > 15 n > −4 n < −4 n > 4 n < 4
Answers
Answer: N > -4
Step-by-step explanation:
Cuz It's Right
The solution for inequality is n < -4.
The given inequality is −2(n − 3.5) > 15
An inequality will have the sign < , > , ≥ or ≤ instead of an equality in an equation. That is, an inequality compares two quantities on either sides of the inequality sign.
We are asked to solve the inequality −2(n − 3.5) > 15. That is, to find the possible values for n.
−2(n − 3.5) > 15
Dividing throughout by 2,
-(n - 3.5) > 15/2
⇒ -n +3.5 > 7.5
Subtracting 3.5 from both sides,
⇒ -n > 7.5 - 3.5
⇒ -n > 4
Multiply -1 on both sides of the inequality and the inequality will be reversed,
⇒ n < -4 is the solution for n.
The solution is the values of n less than -4.
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Find the equation of the line.
The perpendicular bisector to the line segment with endpoints (-7, 6) and (5,2).
Answers
3x - y = -7 is the required equation of the line, which will bisect the line segment with endpoints (-7, 6) and (5,2).
the equation for the perpendicular bisector of the line with end points [tex](x_{0},y_{0})\\[/tex] and [tex](x_{1},y_{1})[/tex] are given by:
[tex]2(x_{1} - x_{0})x+2(y_{1}-y_{0})y = x^{2} _{1}-x^{2} _{0}+y^{2}_{1}-y^{2}_{0}[/tex]
in the given case we have,
[tex](x_{0},y_{0})\\[/tex] = (-7,6)
and
[tex](x_{1},y_{1})[/tex] = (5,2)
now substituting the given values in the above equation we get,
2(5-(-7))x + 2(2-6)y = 5²- (-7)² + 2²- 6²
= 24x - 8y = 25 - 49 + 4 - 36
= 24x - 8y = -56
on simplifying by dividing the LHS and the RHS by 6 we get our equation to be,
3x - y = -7
What is a perpendicular bisector?
A line or segment that is perpendicular to another segment and passes through its midpoint is called a perpendicular bisector.
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Use an integer or a fraction to describe the slope of a line perpendicular to this line please!!!
Answers
A line with slope m then the slope of a line perpendicular to it is ;M = -2/3
What is the slope of a straight line?A straight line of the form y = mx + c has its slope as 'm'
It is constant for a line. The more the slope is, the steeper the line is.
Sign convention takes bottom left to top right going line as positive sloped. And that line which goes from bottom right to top left is taken to have negative slope. Horizontal line has 0 slope and vertical line has infinite slope, as it is now at maximum steepness.
To find the slope m of the given line using the slope formula
[tex]m = \dfrac{y-q}{x-p}[/tex]
with (p, q ) = (1, 0) and (x₂, y₂ ) = (x, y) 2 points on the line
m = (3 -0)/(3-1)
m = 3/2
ALso it is given that a line with slope m then the slope of a line perpendicular to it is ;
M = -2/3
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SOLVE ASAP PLEASE!!!!
Answers
===================================
Explanation:
Recall that [tex]i = \sqrt{-1}[/tex]
Square both sides to get [tex]i^2 = -1[/tex]
So,
[tex](i\sqrt{5})^2 = i^2*(\sqrt{5})^2 = -1*5 = -5[/tex]
Triangle ABC has vertices A(-4, 1), B(-1, 1), and C(-1, 3) as shown. Reflect triangle ABC twice, first across the y-axis, then across the x-axis. Graph both reflections on one coordinate plane. Then rotate triangle ABC 180° about the origin. Graph the rotation.
Answers
As per the given question;
The coordinates of the original triangle ABC with vertices is ;
A(-4, 1), B(-1, 1), and C(-1, 3)
For the first reflection along y-axis, the coordinates of y will remain same and x will reverse to positive.
Y-axis reflection: A(4, 1), B(1, 1), and C(1, 3)
Now, the triangle is again reflected along x-axis.
Thus, for the first reflection along x-axis, the coordinates of x will remain same and y will reverse to positive.
x-axis reflection: A(4, -1), B(1, -1), and C(1, -3)
Rotation: The circular motion of an item around a center is referred to as rotation.
The rotation of triangle ABC 180° about the origin.
Rule for Rotation 180° (Clockwise and Counterclockwise);
(x, y) ----- > (-x, -y)
A(4, -1) ------> A(-4, 1)
B(1, -1) ------> B(-1, 1)
C(1, -3) ------> C(-1, 3)
Rotation 180° = A(-4, 1), B(-1, 1) and C(-1, 3)
Thus, the result of the coordinates of the new triangle with vertices are found.
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Write as
a Ratio : 18:11
Answers
Answer:
This is all ready written as a ratio. You could also write it as 11:18, but other than that, your good!
Step-by-step explanation:
Hope it helps! =D
Solve the equation for y. Then find the value of y for each value of x. y + 2x = 5; x = -2, 0, 4
please help me
Answers
Answer: y=9 when x=-2
y=5 when x=0
y=-3 when x=4
Step-by-step explanation:
y+2x=5
y=5-2x
y=5-2(-2)
y=5-(-4)
y=5+4
y=9 when x=-2
y=5-2(0)
y=5 when x=0
y=5-2(4)
y=5-8
y=-3 when x=4
If f(a)= -4 what is the value of a
Answers
The length of a rectangle is 19 feet longer than the width. If the perimeter is 46 feet, write an equation for this scenario where "x" represents the width.
*
Perimeter formula: 2l+2w=P
Make sure your final equation is simplified
Answers
If the length of a rectangle is 19 feet longer than the width. If the perimeter is 46 feet, The equation for this scenario where "x" represents the width is 2x + 2 (x +19 ) = 46 and the width is 2 feet.
WidthGiven data :
Length of a rectangle = 19 feet
Perimeter = 46 feet
Perimeter formula: 2l+2w=P
Let x represent the width
Hence,
2x + 2 (x +19 ) = 46
2x + 2 x +38 = 46
Collect like terms
4x = 46 -38
4x = 8
Divide both side by 4x
x = 8/4
x = 2 feet
Therefore the equation that was used to find the width is 2x + 2 (x +19 ) = 46 while the width is 2 feet.
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You collect a total of $160 in donations from three people. The three donations are in the ratio 5 : 5 : 10. How much do the two people donate that donate the same amount? How much greater is the largest donation than the smaller donations?
Answers
1. The amount donated by the people with same ratio is $40.
2. The amount greater is $40.
How to calculate the value?From the information, there's a total of $160 in donations from three people and the three donations are in the ratio 5 : 5 : 10.
It should be noted that the amount donated by the people with same ratio will be:
= 5/(5 + 5 + 10) × $160
= 5/20 × $160
= $40
The amount donated by the person with largest ratio will be;
= 10/20 × $160
= $80
Therefore, the difference will be:
= $80 - $40
= $40
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Ar 1:00am the temperature in the Gardem City was -8°F. by noon, the temperature was 25°F. What was the change in temperature, in degrees Fahrenheit, from 1:00am to noon
Answers
The change in temperature was 25 F - (-8F) = 33 F.
Answer:
Explanation:
The change in temperature is the difference between the two temperatures. In our case this is 25 F - (-8F) = 33 F. Notice that the subtracting the negative number changes the sign of the operation and turns it into an addition problem25 F+ 8 F = 33 F.
Consider the function that is represented by the equation y = 3x + 2. If we had an x-value of 3, what would the corresponding y-value be?
Answers
When we have an x-value of 3 the corresponding y-value in the equation is 11.
How to compute the equation?It should be noted that an equation simply shows the relationship between the expression that's illustrated.
In this case, the function that is represented by the equation function that is represented by the equation y = 3x + 2. and we have an x-value of 3,
Therefore, the value of y will be:
y = 3x + 2.
y = 3(3) + 2
y = 9 + 2
y = 11
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What is the answer to the math question 4+8(9+10)
Answers
Answer:
31
Step-by-step explanation:
9+10
19
4+8
12
19+12= 31
FACTOR:
b(a+1)^2 - 5(a+1)
Answers
Answer:(a+1) (ba+b−5)
Step-by-step explanation:
which formula defines the sequence f(1)=2, f(2)=4, f(3)=8, f(4)=16, f(5)=32
please help !!
Answers
Ans: The formula that defines the sequence is Tn = 4n - 2
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Solve the following problems using special product. SHOW YOUR SOLUTION.
2.) What is the area of a rectangle if its length measures (10y+4w)cm and its with measures (10y-4w)cm.
Answers
[tex]a = l \times w \\ a = (10y + 4w)(10y - 4w) \\ a = 10y(10y - 4w) + 4w(10y - 4w) \\ a = 100 {y}^{2} - 40wy + 40wy - 16 {w}^{2} \\ a = 100 {y}^{2} - 16 {w}^{2} [/tex]
ATTACHED IS THE SOLUTION
500 divided by 2/3 = 500 x _ = _ feet
Answers
Answer:
500 divided by 2/3 = 500 * 3/2= 750
Step-by-step explanation:
Kylie went into a grocery store and bought 3 apples and 4 bananas, costing a total of
$6.50. Lily went into the same grocery store and bought 10 apples and , bananas,
costing a total of $17.50. Write a system of equations that could be used to determine
the price of each apple and the price of each banana. Define the variables that you
use
to write the system.
Answers
Answer:
0.87 cent
if i did this right.
Step-by-step explanation:
17.50 divided by 2 = 8.75
8.75 divided by 10 = 0.87
During their family vacation, marcus took 18 photos on his cell phone. the ratio of the number of photos marcus took to the number of photos his sister maribel took is 3 to 4. how many photos did maribel take?
Answers
Given,
No. of photos Marcus took on his cell phone = 18
Ratio of photos took by Marcus and Maribel = 3:4
Let the no. of photos took by Maribel be [tex]x[/tex].
∴ [tex]\frac{18}{x} = \frac{3}{4}[/tex]
⇒[tex]3x = 72[/tex]
⇒ [tex]x = \frac{72}{3} = 24[/tex]
Hence, Maribel took 24 photos.
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Divide -2 1/8÷6 4/5 . Explain each step you used to find the quotient.
Answers
Answer: -85/272
Step-by-step explanation:
-17/8 divided by 34/5
then opposite reciprical
-17/8 x 5/34
-85/272 (check if you can simplify)
Which of the following statements best describes the effect of replacing the graph of y = f(x) with the graph of y = f(x − 2)?
A) The graph of y = f(x) will shift left 2 units.
B)The graph of y = f(x) will shift right 2 units.
C) The graph of y = f(x) will shift up 2 units.
D) The graph of y = f(x) will shift down 2 units.
Answers
We have a horizontal translation of 2 units to the right, so the correct option is B.
"The graph of y = f(x) will shift right 2 units."
Which effect will have it on the graph?
For any function f(x), a horizontal translation of N units is written as:
g(x) = f(x + N)
if N > 0, the translation is to the left.
if N < 0, the translation is to the right.
In this case we have the function written as:
y = f(x - 2)
So we have N = -2, which means that we have a translation of 2 units to the right.
Then the correct option is B.
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find the coordinates
Answers
Answer:
C (50, - 40 )
Step-by-step explanation:
C is the midpoint of AB
given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is
( [tex]\frac{x_{1}+x_{2} }{2}[/tex] , [tex]\frac{y_{1}+y_{2} }{2}[/tex] )
here (x₁, y₁ ) = A (0, - 80 ) and (x₂, y₂ ) = B (100, 0 ) , then
C = ( [tex]\frac{0+100}{2}[/tex] , [tex]\frac{-80+0}{2}[/tex] ) = ( [tex]\frac{100}{2}[/tex] , [tex]\frac{-80}{2}[/tex] ) = (50, - 40 )