Answer: a) Opposite sides are parallel
Step-by-step explanation:
a) In a parallelogram, opposite sides are parallel (which is why it is called a PARALLELogram).
b) Opposite angles are congruent (not ALL angles). The only parallelograms where all of the angles are congruent are Squares and Rectangles.
c) Consecutive angles are supplementary so their SUM must be 180°. Therefore if one angle is less than 90° (acute), the other angle must be greater than 90° so it is not possible that all angles are acute (∠ 90°).
d) The sides do not have to be equal. The only parallelogram whose sides have equal lengths are Squares.
Anna enjoys dinner at a restaurant in Washington D.C, where the sales tax on meals is 10%. She leaves a 15% tip on the price of her meal before the sales tax is added, and the tax calculated is on the pre-tip. She spends a total $27.50 for dinner. What is the cost of her dinner without tax or tip?
Answer: $20.62
Step-by-step explanation:
Ok so she spent 27.50 and the tax was 10% and the tip was 15%
10% of 27.50=0.1*27.50=2.75
15% of 27.50=0.15*27.50=4.125=4.13 (rounded to the nearest cent)
So the question is asking about without the tax (2.75) or the tip (4.13) so you have to subtract the tax and tip from the total cost (27.50)
27.50-2.75-4.13=20.62
The cost of her dinner without tax or tip is 20.62
Answer:$20.62 would be the price
Step-by-step explanation:
Which description of the graph of the linear inequality y ≥ 7x – 4 is correct? The graph will be a dashed line with a y-intercept of negative four and a slope of seven. The graph will be shaded below the line. The graph will be a solid line with a y-intercept of negative four and a slope of seven. The graph will be shaded above the line. The graph will be a solid line with a y-intercept of seven and a slope of negative four. The graph will be shaded below the line. The graph will be a dashed line with a y-intercept of seven and a slope of negative four. The graph will be shaded above the line.
Answer:
The correct option is B
B) The graph will be a solid line with a y-intercept of negative four and a slope of seven. The graph will be shaded above the line.
Step-by-step explanation:
The given equation is
y ≥ 7x - 4
Consider only the equality sign:
y = 7x-4
or
y = 7x + (-4)
The general form of any linear equation is given by:
y = mx + c
By comparing, we can see that:
m = slope = 7
Secondly consider the equation
y ≥ 7x - 4
We know that generally for the signs "equal to and greater/smaller than", we use a solid line, and for the signs "greater/smaller than", we use a dashed line.
Hence, to graph this equation we'll use a solid line.
Thirdly, find y intercept by putting x=0
y = 7(0) - 4
y = -4
The correct option is B
Correct description of the given inequality will be, A solid line with y-intercept (-4) and slope 7. The graph will be shaded above the line.
Slope form of the line is given by equation,
y = mx + b
Where 'm' = Slope of the line
b = y-intercept
For a line having equation,
y = 7x - 4
Slope = 7
y-intercept = -4
If the line is an inequality, properties of the inequality will be defined by,
If the line is having a sign equal to (=), graph of the line will be a solid line.If the solid line has a sign of greater than (>), solution set (shaded region) of the inequality will be above the line.If the line has a sign of less than (<), solution set of the inequality will be below the line.By these properties,
inequality y ≥ 7x - 4 will show,
A solid line with slope 7 and y-intercept as (-4).Shaded area will be above the solid line.Therefore, the graph will be a solid line with y-intercept (-4) and slope 7. The graph will be shaded above the line.
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Work out the length of RS.
Give your answer to 3 significant figures.
S
R
-5
-4
-B
- 2
2
-40
+
3
4
5 x
+
-2-
Answer:
5.83 units
Step-by-step explanation:
Given is a right angled triangle.
Length of base = 2 - (-3) = 2+ 3 = 5 units
Height = 4 - 1 = 3 units
By Pythagorean theorem:
[tex]RS = \sqrt{ {5}^{2} + {3}^{2} } \\ = \sqrt{25 + 9} \\ = \sqrt{34} \\ = 5.83095189 \\ = 5.83\: units[/tex]
In the spinner below, what is true about the probability of landing on 1 and the probability of landing on 6?
Answer:
1/6 for 1 and 1/6 for 6
Step-by-step explanation:
Answer: the possibility are equal
Step-by-step explanation:
A p e x
Lines L and M are parallel.
3/4
2 5
16
38° 7
-L
<-M
:
Find : m_1
Enter the number that
belongs in the green box.
[? ? ]
Enter
Answer: The measure of angle 1 is 142°
Step-by-step explanation: ∠6 = 38°
∠6 and ∠1 are supplementary, so the total m∠6 + m∠1 = 180°
180° - 38° = 142°
BTW Angles 1, 3, 5 & 7 are all 142° Also, supplementary angles include 2&3, 3&4, 4&5, 2&5, 6&7
∠5 will be 142 degrees for the given condition.
What are parallel lines?Parallel lines are lines in a plane that are always the same distance apart. Parallel lines never intersect. Perpendicular lines are lines that intersect at a right (90 degrees) angle.
Given an angle is 38 degrees
Since M is a linear line
thus angle 7 and 38 are supplementary angles
∠7 + 38 = 180
∠7 = 142
Since ∠5 = ∠7
they are corresponding angles
thus, ∠5 = 142
therefore, the value of ∠5 will be 142°.
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Help ???
The table and scatter plot shows the time spent studying...
Answer:
Time spent in Observed Predicted Residual
studying (x) midterm score midterm score
12 70 60.5 9.5
18 75 83.34 -8.34
Step-by-step explanation:
Given, The equation of the line of best fit: [tex]y=3.8x+14.94[/tex] (which gives the predicted score.)
Time spent in studying of 12 hours i.e. at x=12, observed y= 70
Predicted y = [tex]3.8(12)+14.94=60.5[/tex]
Residual =Observed y - predicted y
= 70-60.5
= 9.5
Time spent in studying of 18 hours i.e. at x=18, observed y= 75
Predicted y = [tex]3.8(18)+14.94=83.34[/tex]
Residual = Observed y - predicted y
= 75-83.34
= -8.34
Time spent in Observed Predicted Residual
studying (x) midterm score midterm score
12 70 60.5 9.5
18 75 83.34 -8.34
which composition of transformations will create a pair of similar, not congruent triangles?
A. a rotation, then reflection
B. a translation, then rotation
C. a reflection, then a translation
D. a rotation, then a dilation
Answer:
I believe D. A rotation, then dilation.
Step-by-step explanation:
Congruent is same size, same shape.
Two figures that have the same shape are said to be similar. When two figures are similar, the ratios of the lengths of their corresponding sides are equal.
Hope this helps. Not 100% sure though.
D. a rotation, then a dilation
Rewrite in simplest radical form x 5/6 x 1/6
Answer:
[tex]x^{\frac{5}{6}}/x^{\frac{1}{6}} = \sqrt[3]{x^2}[/tex]
Step-by-step explanation:
Given
[tex]x^{\frac{5}{6}}/x^{\frac{1}{6}}[/tex]
Required
Rewrite in simplest radical form
Using laws of indices:
[tex]a^m/a^n = a^{m-n}[/tex]
This implies that
[tex]x^{\frac{5}{6}}/x^{\frac{1}{6}} = x^{\frac{5}{6} - \frac{1}{6}}[/tex]
Solve Exponents
[tex]x^{\frac{5}{6}}/x^{\frac{1}{6}} = x^{\frac{5 - 1}{6} }[/tex]
[tex]x^{\frac{5}{6}}/x^{\frac{1}{6}} = x^{\frac{4}{6} }[/tex]
Simplify exponent to lowest fraction
[tex]x^{\frac{5}{6}}/x^{\frac{1}{6}} = x^{\frac{2}{3} }[/tex]
Using laws of indices:
[tex]a^{\frac{m}{n}} = \sqrt[n]{a^m}[/tex]
This implies that
[tex]x^{\frac{5}{6}}/x^{\frac{1}{6}} = \sqrt[3]{x^2}[/tex]
This is as far as the expression can be simplified
PLEASE HELP 20 points!!! Which of these is a ratio table? A 2-column table has 3 rows. Column 1 is labeled A with entries 1, 2, 3. Column 2 is labeled B with entries 5, 6, 7. A 2-column table has 3 rows. Column 1 is labeled A with entries 1, 2, 3. Column 2 is labeled B with entries 4, 5, 7. A 2-column table has 3 rows. Column 1 is labeled A with entries 1, 2, 3. Column 2 is labeled B with entries 1, 4, 9. A 2-column table has 3 rows. Column 1 is labeled A with entries 1, 2, 3. Column 2 is labeled B with entries 2, 4, 6.
Answer:
b
Step-by-step explanation:
Answer:
isnt it D?
Step-by-step explanation:
the two numbers are constantly the same ratio so its that right?
In 1787, if an enslaved African was considered 3/5th of a person for representation in Congress,how many enslaved Africans would have been considered equivalent to 6 white Americans?
Answer:
10
Step-by-step explanation:
3/5 is 0.6 and 10 time 0.6 is 6.
hope this helps
Find the solutions to x2 = 24.
O A. x = 164
O
B. X =
+4v6
O C. x = +62
O D. x = +276
Answer:
x = ± 2[tex]\sqrt{6}[/tex]
Step-by-step explanation:
Given
x² = 24 ( take the square root of both sides )
x = ± [tex]\sqrt{24}[/tex] = ± [tex]\sqrt{4(6)}[/tex] = ± [tex]\sqrt{4}[/tex] × [tex]\sqrt{6}[/tex] = ± 2[tex]\sqrt{6}[/tex]
PLSSSSSSS HELPPPPPPPP !!!!!!!!!!! what is the end behavior for this function f(x)=x^4+4x^2+2x-4
Answer:
When x goes to negative infinity, y goes to positive infinity; when x goes to positive infinity, y goes to positive infinity.
Step-by-step explanation:
The largest power of this function is 4, since the term is x^4. This means that the graph of the function will closely resemble a parabola.
Since the coefficient of x^4 is positive, that means that the parabola will resemble a smile.
The end behavior is when x goes to negative infinity, y goes to positive infinity; when x goes to positive infinity, y goes to positive infinity.
Hope this helps!
Please help with this
Answer:
Step-by-step explanation:
Answer A is correct. Note that (6/5)(35) = 42 (side DG).
which graph correctly represents x+2<4
Answer:
see below
Step-by-step explanation:
x+2<4
Subtract 2 from each side
x+2-2 < 4-2
x<2
There is an open circle at 2 and since x is less than, the lines goes to the left
Answer:
it is dashed line,
Step-by-step explanation:
x+2<4
x<4-2
x<2
Imagine that this graph represents the distance Brianna travels to get to her babysitting job with respect to time. Describe a relation that the graph may represent.
Answer:
The distance time graph shows the velocity with which Brianna traveled.
From t= 0 to t = 6:
For every 2 minutes, distance increase by one miles. She covers 3 miles in 6 minutes.
So the velocity is given by:
velocity = change of distance/ change of time
velocity = 3/6
velocity = 0.5 miles/minutes
From t=6 to t=10
As there is no change in distance, the velocity of the object is 0, it means Brianna is stationary from t=6 to t=10
From t=10 to t=16
Distance covered = 7 miles - 3 miles = 4 miles
Time taken = 16 - 10 = 6 minutes
Velocity = 0.67 miles/minutes
Answer:Brianna left home and drove 3 miles in 6 minutes. She then stopped for 4 minutes to pick up coffee. Finally, she traveled the last 4 miles in 6 minutes to arrive at her babysitting job.
Write as an equation: 1/3 of a shipment of books weights 28 pounds.
A. f - 1/3 = 28
B. 3/f = 28
c. 1/3 + f = 28
D. f/3 = 28
Answer:
Option D
Step-by-step explanation:
A third of a shipment of books is 28 pounds. Assuming that 'f' will be the total weight of the entire shipment, we would divide 'f' by 3 to get 28.
The answer should be D.
Which relation is a function of x?
Answer:
The last choice, the graph.
Step-by-step explanation:
The 4 relations are:
A.
A set of ordered pairs.
This is not a function because 2 ordered pairs have the same x-coordinate, 1.
B.
Table.
All ordered pairs have 0 as the x-coordinate. Since the same x-coordinate appears more than once, it is not a function.
C.
x = 3y^2 - 7
This is a function of y, and it is a horizontal parabola, so it does not pass the vertical line test. It is not a function.
D.
The graph.
This is a function because it passes the vertical line test.
Answer: The last choice, the graph.
Answer: D the graph ! ;)))))
I hope you all get good grades !
Step-by-step explanation:
Plz mark brain list!
I need help with this plz...Thanks
Answer:
Step-by-step explanation:
You graph it
awarding branliest for first correct answer
Answer:
Step-by-step explanation:
x² - y² = (x + y)(x-y)
c² - (5b - 3a)² = (c + [5b -3a]) ( c - [5b - 3s] )
= (c + 5b - 3a) (c - 5b + 3s)
Using addition rules, show how to add the two real numbers. 7 +(-14)
7 + (-14).
Because the second number is a negative number, the addition sign is replaced by the negative sign of the number, so the equation becomes:
7 - 14
The answer would be -7
What is the least common denominator of
Answer:
first answer is correct
Step-by-step explanation:
hello
as we can write
[tex]x^2-1=(x-1)(x+1)\\[/tex]
the least common denominator is
x(x-1)(x+1)
hope this helps
Answer:
x + 1
x - 1
x
Step-by-step explanation:
The denominators are as follows.
(x - 1)
x^2 - 1
x
=====
The second denominator is actually made of two factors.
x^2 - 1 =(x + 1)(x - 1)
So the least common denominator is
x + 1
x - 1
x
You do not count the x - 1 twice.
The ratio of roosters to chickens is 2 to 8. If there are 5 roosters, how many chickens are there? Complete the ratio table to solve.
Answer:
20 chickens
Step-by-step explanation:
2/8= 5/x
2 times 2.5 is 5, 8 times 2.5 is 20 the ratio is true if we write this:
2/8=5/20
Therefore, with 5 roosters, there are 20 chickens.
Please help me solve. Surface area of this pyramid?
Answer:
4,784ft^2
Step-by-step explanation:
Well in this case we will just use the square and triangle area formulas instead of the pyramid surface area formula.
So if the base is a square then the area is 32*32 which is 1,024.
Now for the trangle, the area of a triangle b*h/2.
So b*h is 47*32 which is 1,504.
So 1,504/2 is 752.
So 752 is the area of 1 triangle and we have 4 so 5*752 is 3,760.
So 3,760 + 1,024 is 4,784.
So the total SA if the pyramid is 4,784ft^3.
Answer:
4,784ft^2
Step-by-step explanation:
Katie wants to create a rectangular frame for a picture. She has 60 inches of material. If she wants the length to be
more than 2 times the width, what is the largest possible length? Write an equation and solve.
Step-by-step explanation: 2*(l+b)=60, 2*(2*b+b);60
2*(2b+b)=60, 4b+2b=60, 6b=60
b=60/6=10, width is 10inch and length is 2*10=20 inches
What is the range of the graphed function? Max points HURRY!!
Solution:
y = ³√-x-1
~Find the inverse
-1 - x³
~Find domain
-∞ < x < ∞
~Combine
-∞ < y < ∞
Therefore, the answer is D.
Best of Luck!
Answer:
y = ³√-x-1
Step-by-step explanation:
Choose two of the angles on ∆ABC, and locate the line segment between them. Draw a new line segment,DE , parallel to the line segment you located on ∆ABC. You can draw of any length and place it anywhere on the coordinate plane, but not on top of ∆ABC. From points D and E, create an angle of the same size as the angles you chose on ∆ABC. Then draw a ray from D and a ray from E through the angles such that the rays intersect. You should now have two angles that are congruent to the angles you chose on ∆ABC. Label the point of intersection of the two rays F, and draw ∆DEF by creating a polygon through points D, E, and F.
Answer:
The two triangles are attached below.
Step-by-step explanation:
Let the ∆ABC be an isosceles right angled triangle.
The two angles will be 45° each.
The triangle ABC is attached below.
Now construct the triangle DEF according to the given instructions.
The two triangles are attached below.
Simplify the fraction 35/21 in simplest form
Answer:
5/3
Step-by-step explanation:
35 and 21 could be divided by a factor of 7.
35 ÷ 7 = 5
21 ÷ 7 = 3
So,
35/21 = 5/3
Answer:
5/3
Step-by-step explanation:
35 divided by 7 is 5
21 divided by 7 is 3
Thus 35/21 in simplest form is 5/3
What’s the answer plz help
Two large numbers of the fibonacci sequence are F(50) = 12,586,269,025 and F(51) = 20,365,011,074. If these two numbers are added together, what number results? A. F(52) B. F (101) C. F(53) D. F(49)
Answer:
B. F(52)
Step-by-step explanation:
In the Fibonacci sequence, each term is found by adding the previous two terms together. This means that f(3) = f(2)+f(1), f(4) = f(3)+f(2), etc.
If we add f(50)+f(51), this would give us f(52).
Answer:
B
Step-by-step explanation:
B is the answer
If m∠ABC = 45° and m∠ECD = 45°, which statement explains whether the AA similarity postulate can be used to determine whether ΔBAC ~ ΔEDC? answers: Yes, the AA similarity postulate can be used because a reflection over line f will establish that segment AB ≅ segment DE. Yes, the AA similarity postulate can be used because a reflection over line f will establish that ∠ABC ≅ ∠DEC. No, the AA similarity postulate cannot be used because a reflection over line f will establish that segment AB and segment DE are not congruent. No, the AA similarity postulate cannot be used because a reflection over line f will establish that ∠ABC and ∠DEC are not congruent.
please answer ASAP please i need HELP ASAP thank you
Answer:
No, the AA similarity postulate cannot be used because a reflection over line f will establish that ∠ABC and ∠DEC are not congruent.
Step-by-step explanation:
Data provided in the question
m∠ABC = 45°
m∠ECD = 45°
Based on the above information, the ΔBAC ~ ΔEDC could be determined by seeing the given options
As we can see that from the last option the AA could not be postulated as it creates a reflection over the line plus the ∠ABC and ∠DEC is not congruent
Therefore the last option is correct
No, the AA similarity postulate cannot be used because a reflection over line f will establish that ∠ABC and ∠DEC are not congruent. Therefore the option D is correct.
What is the congruent triangle?Two triangles are said to be congruent if the length of the sides is equal, a measure of the angles are equal and they can be superimposed.
Data given in the question
m∠ABC = 45°
m∠ECD = 45°
Based on the above information, the ΔBAC ~ ΔEDC could be determined by seeing the given options one by one.
As we can conclude that from the last option the AA could not be postulated as it creates a reflection over the line plus the ∠ABC and ∠DEC is not congruent.
No, the AA similarity postulate cannot be used because a reflection over line f will establish that ∠ABC and ∠DEC are not congruent.
Therefore the option D is correct.
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