Answers
The ABEF is a parallelogram because DC is extended to point F; AB ≅ FE and FA ≅ BE.
What is parallelogram?In two-dimensional geometry, it is a plane shape having four sides, in which two pairs of sides are parallel to each other and equal in length. The sum of all angles in a parallelogram is 360°.
We have ABCD is a parallelogram.
BE is perpendicular to FC
FA is perpendicular to FC
As we know in the parallelogram ABCD:
AB ≅ DC
AD ≅ CB
As the DC is extended to F
So, AB ≅ FE
And BE is perpendicular to FC
FA is perpendicular to FC (given)
∴ FA ≅ BE
∴ ABEF is a parallelogram.
Thus, the ABEF is a parallelogram because DC is extended to point F; AB ≅ FE and FA ≅ BE.
Learn more about the parallelogram here:
brainly.com/question/1563728
#SPJ1
Related Questions
Which choice describes the value of m when –5(m + 1) ≤ 23?
A 28
5
m
B 28
5
m
C 18
5
m
D 18
5
Answers
The first step to solving almost any problem is to determine what the question is asking and what is given to us to help solve that problem. Looking at the problem statement, they are asking for us to determine which option best describes the value of m in the expression provided. The only thing that we are provided with is an expression which we need to solve for m.
Let's begin to solve the expression for m by first dividing both sides by -5. However, since we are dividing by a negative, that means that we must flip the sign.
Divide both sides by -5
[tex]-5(m + 1) \le 23[/tex][tex]\frac{-5(m + 1)}{-5} \le \frac{23}{-5}[/tex][tex]m + 1 \ge -\frac{23}{5}[/tex]The next step that we must take is to subtract 1 from both sides but before that let's convert it into an improper fraction with a denominator of 5 so we can easily deal with it with the other fraction.
Subtract both sides by 1
[tex]m + \frac{5}{5} - \frac{5}{5} \ge -\frac{23}{5} - \frac{5}{5}[/tex][tex]m \ge -\frac{23}{5} - \frac{5}{5}[/tex][tex]m \ge \frac{-23 - 5}{5}[/tex][tex]m \ge \frac{-28}{5}[/tex]We have finally came up to our final answer which would state that m is greater than or equal to negative 28 over 5. The options that you have provided seem like the formatting has messed up but I'm sure that on your side you can see the correct answer.
Use the spinner below to find the probability of getting the following number after 1 spin. P(multiple of 3) = (Round to 4 decimal places)
Answers
The value of the probability P(multiple of 3) is 0.3333
How to determine the probability?The spinner that completes the question is added as an attachment
From the attached spinner, we have:
Total section = 12Multiples of 3 = 4The probability is then calculated as:
P(multiple of 3) = Multiples of 3/Total
This gives
P(multiple of 3) = 4/12
Evaluate
P(multiple of 3) = 0.3333
Hence, the value of the probability is 0.3333
Read more about probability at:
https://brainly.com/question/25870256
#SPJ1
MATH
•••••••••
AGAIN DON'T DELETE THIS QUESTION!
••••••••••••
PLEASE ANSWER THIS CORRECTLY
(NEED SOLUTIONS)
•••••••••••••••
Answers
Step-by-step explanation:
See the attached pics it explains everything
Answer:
Corresponding Angles Theorem
When a straight line intersects 2 parallel lines, the angles in the same relative position are congruent (equal).
Alternate Exterior Angles Theorem
When a straight line intersects 2 parallel lines, the alternate exterior angles are congruent (equal).
Vertical Angle Theorem
When two straight lines intersect, the vertical angles are congruent (equal).
Part AQ1. As s ║ c we can apply the Corresponding Angles Theorem:
⇒ 11x - 5 = 116
⇒ 11x - 5 + 5 = 116 + 5
⇒ 11x = 121
⇒ 11x ÷ 11 = 121 ÷ 11
⇒ x = 11
Q2. As s ║ c we can apply the Alternative Exterior Angles Theorem:
⇒ 12x - 4 = 148
⇒ 12x - 4 + 4 = 148 + 4
⇒ 12x = 152
⇒ 12x ÷ 12 = 152 ÷ 12
⇒ x = 38/3 = 12.7 (nearest tenth)
Part BQ1. As j ⊥ r then the sum of the angles is 90°
⇒ 4x + 6x + 10 = 90
⇒ 10x + 10 - 10 = 90 - 10
⇒ 10x = 80
⇒ 10x ÷ 10 = 80 ÷ 10
⇒ x = 8
Q2. As j ⊥ r we can apply the Vertical Angles Theorem:
⇒ 5x - 10 = x + 70
⇒ 5x - 10 + 10 = x + 70 + 10
⇒ 5x = x + 80
⇒ 5x - x = x + 80 - x
⇒ 4x = 80
⇒ 4x ÷ 4 = 80 ÷ 4
⇒ x = 20
I need help ASAP PLEASE > How does the graph of f(x) = (x + 7)3 − 8 compare to the parent function g(x) = x3? (Please explain with your on words)
Answers
Answer:
The graph has been moved 7 units to the left and 8 units down.
Step-by-step explanation:
When numbers are added directly to the "x" value, the graph shifts to the left. If negative numbers are added directly to the "x" value, the grap shifts to the right. Therefore, if there is a +7 directly altering the "x" value, the function shifts 7 units to the left.
When a number is added to the overall function, it shifts upwards. If this number is negative, the entire function shifts downwards. Therefore, if there is a -8 outside altering the function, then it has been shifted 8 units down.
The first four terms of a sequence are shown on the graph below. On a coordinate plane, points are at (1, negative 1), (2, 8), (3, negative 16), (4, 32). What can be concluded about the sequence? The common ratio of the sequence is 2. The common difference of the sequence is 2. The next term of the sequence is represented by the point (5, 64). The next term of the sequence is represented by the point (5, –64).
Answers
Answer:
The next term of the sequence is represented by the point (5, –64)Step-by-step explanation:
Note: The first point should be (1, - 4)
According to the points, the sequence is:
t₁ = - 4, t₂ = 8, t₃ = - 16, t₄ = 32or
- 4, 8, - 16, 32, ...We can observe it is a geometric sequence with common ratio of - 2, as:
r = 32/ - 16 = - 16/8 = 8/ - 4 = - 2The following term is:
t₅ = t₄*r = 32*(- 2) = - 64The coordinates of same term are:
(5, - 64)As we see the correct answer choice is D.
The parabola y=x^2y=x
2
y, equals, x, squared is shifted up by 777 units and to the left by 111 unit.
What is the equation of the new parabola?
y=y=y, equals
Answers
Answer:
Step-by-step explanation:
The parabola y=x^2 is shifted up by 7 units and to the left by 1 unit.
Answer:
y=(x+1)^2 +7
When the parabola y=x² is shifted up by 7 units and to the left by 1 unit then the equation of the new parabola is y = (x-1)² + 7.
When a parabola is shifted vertically or horizontally, its equation changes accordingly.
In this case, the parabola y = x² is shifted up by 7 units and to the left by 1 unit.
Adding a constant value to the function shifts the graph vertically.
In this case, adding 7 to the original function y = x² will shift it up by 7 units:
y = x² + 7
Subtracting a constant value from the input of the function shifts the graph horizontally.
In this case, subtracting 1 from the x-values of the function y = x² + 7 will shift it to the left by 1 unit:
y = (x-1)² + 7
Hence, the equation of the new parabola after both shifts is y = (x-1)² + 7.
To learn more on Graph click:
https://brainly.com/question/17267403
#SPJ3
John Pelson's weekly net pay is $972.11. His weekly deductions are $185.00 for FIT; 5% of gross for SIT; 2% of gross for CIT; Social Security and Medicare; $64.00 for health insurance; and $25.00 for charity? Find the weekly gross pay
Answers
Based on the calculations below, the weekly gross pay of John Pelson is $1,339.90.
How to calculate gross pay?Let G represents weekly gross pay. The gross pay can now be calculated as follows:
Net pay = G – FIT – SIT – CIT - Health insurance – Charity ……………….. (1)
Substitute all the relevant values into the equation (1) and solve as follows:
$972.11 = G – $185.00 – 0.05G – 0.02G – $64.00 – $25.00
$972.11 + $185.00 + $64.00 + $25.00 = G – 0.05G – 0.02G
$1,246.11 = (1 – 0.05 – 0.02)G
$1,246.11 = 0.93G
G = $1,246.11 / 0.93
G = $1,339.90
Learn more about gross pay here: https://brainly.com/question/13143081.
#SPJ1
Factoriser: X=a^ 2 b^ 2 +2a\%+a^ 4 7/2
Answers
The factorized expression of x = a²b² + 2a + a⁴ is x = a(ab² + 2 + a³)
How to factorize the expression?The expression is given as:
x = a²b² + 2a + a⁴
Factor out a from the expression
x = a(ab² + 2 + a³)
The above expression cannot be further factorized.
Hence, the factorized expression of x = a²b² + 2a + a⁴ is x = a(ab² + 2 + a³)
Read more about expressions at:
https://brainly.com/question/723406
#SPJ1
Triangle P Q R is shown. Angle Q P R is a right angle. The length of Q P is 8 StartRoot 3 EndRoot and the length of P R is 8.
Consider triangle PQR. What is the length of side QR?
Answers
Answer: Length of side QR is 16 units.
Step-by-step explanation: Given that dimensions of PQR
QPR= 90degrees
Part 1: Given cosine of theta is equal to radical 3 over 2 comma determine three possible angles θ on the domain [0,∞).
Part 2: Given θ = 495°, convert the value of θ to radians and find sec θ.
Answers
The cosine ratio is given as:
[tex]\cos(\theta) = \frac{\sqrt 3}{2}[/tex]
See attachment for the graph of [tex]\cos(\theta) = \frac{\sqrt 3}{2}[/tex] under the domain of [0,∞)
From the graph, we can see that some values of [tex]\theta[/tex] when [tex]\cos(\theta) = \frac{\sqrt 3}{2}[/tex] are:
[tex]\theta = \frac{\pi}{6}[/tex] [tex]\theta = \frac{11\pi}{6}[/tex] and [tex]\theta = \frac{13\pi}{6}[/tex]
The value of sec θWe have:
θ = 495°
Convert to radians
[tex]\theta = 495 * \frac{\pi}{180}[/tex]
Evaluate
[tex]\theta = \frac{11\pi}{4}[/tex]
The value of sec θ is then calculated as:
[tex]\sec(\theta) = \sec(\frac{11\pi}{4})[/tex]
Using a calculator, we have:
[tex]\sec(\theta) = -1.414[/tex]
Hence, the value of [tex]\sec(\theta)[/tex] is -1.414
Read more about trigonometry ratios at:
https://brainly.com/question/27223704
#SPJ1
Which number line represents the solution set for the inequality -4(x + 3) ≤-2-2x?
++
-7 -6 -5 -4 -3 -2 -1 0 1 2 3
4
5 6 7
O
-7 -6 -5 -4 -3 -2 -1 0 1 2 3
4 5 6 7
-7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7
-7 -6 -5 -4 -3 -2 -1 0 1
2
3
4
6 7
ليا
نی
für
fe
LO
5
Answers
Answer:
x<_-5
Step-by-step explanation:
-4(x+3)<_-2-2x
-4x-12<_-2-2x
-4x+2x<_-2+12
-2x<_+10
divide both side by -2
-2x/2<_10/-2
x<_-5
it is D
The radius of Circle A is 3 ft. The radius of Circle B is 3 ft greater than the radius of
Circle A. The radius of Circle C is 3 ft greater than the radius of Circle B. The radius of Circle D is 2 ft
less than the radius of Circle C. What is the area of each circle? How many times greater than the
area of Circle A is the area of Circle D?
Answers
Answer:
Step-by-step explanation:
Ar of circle
A= 49π
B=100π
C=169π
D=121π
Ar of circle A is less than Ar of circle D
The surface area of a right cone which has a base diameter of 6 units and a height of 8 units is:
75 units squared.
108 units squared.
151 units squared.
188 units squared.
Answers
The area of a 2D form is the amount of space within its perimeter. The surface area of the cone is 108.79967 units².
What is an area?The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm2, m2, and so on. To find the area of a square formula or another quadrilateral, multiply its length by its width.
Given the diameter of the cone is 6 units, therefore, the radius of the cone is 3 units, and the height of the cone is 8 units. Thus, the surface area of the right cone is,
A=πr [r+√(h²+r²)]
A = 108.79967 units²
Hence, the surface area of the cone is 108.79967 units².
Learn more about Area:
https://brainly.com/question/1631786
#SPJ1
Above is a table that gives the interest per every $100 financed. Use the table to determine the annual percentage rate for a 35 month loan that charges $22.38 per every $100 financed.
a.
13%
c.
15%
b.
14%
d.
16%
Answers
The annual percentage rate for a 35 month loan that charges $22.38 per every $100 financed is seen from the table to be 14%.
How to determine Annual Percentage Rate?From the table, the APR for 35 months loan that charges $22.38 per every $100 financed is seen to be 14%.
Thus, we can conclude that the annual percentage rate for a 35 month loan that charges $22.38 per every $100 financed is seen from the table to be 14%.
Read more about Annual Percentage Rate at; https://brainly.com/question/11686424
#SPJ1
Answer:
a. 13%
Step-by-step explanation:
E2020!
For what value of the constant a will the system of linear equations 6x-5y=3 and 3x+ay=1 have no solution
Answers
The value of the constant a will the system of linear equations 6x-5y=3 and 3x+ay=1 have no solution is -5/2
System of equationFor a system of equation to have no solution, the expression on both sides must be different.
Given the system of equation
6x-5y=3 and
3x+ay=1
For the equations to have no solution, the a1/a2= b1/b2
Substitute
6/3 = -5/a
Cross multiply
2 = -5/a
a= -5/2
Hence the value of the constant a will the system of linear equations 6x-5y=3 and 3x+ay=1 have no solution is -5/2
Learn more on system of equation here: https://brainly.com/question/14323743
#SPJ1
if p(a)=a^3-6a^2+11a-9 and p(a)=-3,find the value of a?
Answers
Determine u-x and o-x from the given parameters of the population and the sample.size. round the answer to the nearest thousandth where appropriate u=27 o=5 n=14
Answers
The u-x and o-x from the given parameters of the population and the sample size will be u =28 and standard deviation is 5.
How to calculate the values?From the information given about the population and sample mean, the values include:
u=27 o=5 n=14
The standard deviation will be:
= 5/✓14
= 5/3.74
= 1.34
Therefore, u-x and o-x from the given parameters of the population and the sample size will be u =28 and standard deviation is 1.34.
Learn more about population on:
brainly.com/question/25630111
#SPJ1
Helppp what’s the answer
Answers
Answer:
players on both teams are about the same height on average
Step-by-step explanation:
because both are same
If the perimeter of an equilateral triangle is 30cm, find its area.
Answers
Answer:
A ≈ 43.3 cm²
Step-by-step explanation:
the area (A) of an equilateral triangle is calculated as
A = [tex]\frac{s^2\sqrt{3} }{4}[/tex] ( s is a side of the triangle )
given perimeter = 30 cm , then
s = 30 cm ÷ 3 = 10 cm
then
A = [tex]\frac{10^2\sqrt{3} }{4}[/tex] = [tex]\frac{100\sqrt{3} }{4}[/tex] = 25[tex]\sqrt{3}[/tex] ≈ 43.3 cm² ( to the nearest tenth )
Round 0.007492 to four decimal places.
Answers
Just round up the 4 to 5 then u got your answer.
The revenue from selling x necklaces is r(x) =10x. The cost of buying x necklaces is c(x)=4x+15. The profit from selling x necklaces is p(x)=r(x)-c(x).
Answers
Answer:
the revenue is 280 by 190
HELP ASAP!!!!!!!!!!!
Answers
Answer:
a) ΔCED ~ ΔCAB
b) 157.5 m
Step-by-step explanation:
The similarity statement for geometric figures lists the corresponding vertices in the same order. Corresponding sides of similar figures are proportional. That fact can be used to find the missing side length.
__
a)The right angles are corresponding. Angle C corresponds to itself, so the similarity statement can be written ...
ΔCED ~ ΔCAB
__
b)Corresponding sides are proportional, so we can write ...
AB/AC = ED/EC
AB/(50+160) = 120/160 . . . . . using the numerical values
AB = 210 × 120/160 = 157.5 . . . meters
The length of the lake is 157.5 meters.
Problem is in the picture
Answers
So, now to find the cost of agricultural exports, we can use the equation provided.
E(x) = 1.1x - 1.47
E(5) = 1.1(5) - 1.47
E(5) = 5.5 - 1.47
E(5) = 4.03
In a shipment of 20 computers, 3 are defective. Three computers are randomly selected and tested. What is the probability that all three are defective if the first and second ones are not replaced after being tested? (1/1140)
Please help me to answer this question. This question is under of topic basic and rule probability. I hope one of you guys can come up with a complete answer.
Answers
Answer:
a. 1/760
b.1/1140
c.27/8000
d.3/5000
I chose D, is this correct
Step-by-step explanation:
Which of these show the correct shape after the translation?
I CAN’T SHOW ALL OF THE ANSWER CHOICES BUT CAN SOMEONE TELL ME IF I CHOSE THE RIGHT ANSWER?
Answers
The option that depicts a translation is option B. See the attached image and the explanation for this answer below.
What is Translation in Mathematics?Translation in Math refers to the movement of a shape vertically or horizontally along the x or y-axis without altering its original dimensions.
Going by the above definition, it is clear that Option B is the translated image (assuming that the original image is as given in the image attached.
Learn more about mathematical translation at:
https://brainly.com/question/1046778
#SPJ1
Which of the following polygons is a quadrilateral
Answers
Answer:
C
Step-by-step explanation:
A quadrilateral is a shape with 4 sides.
A is a triangle, 3 sides
B is a pentagon, 5 sides
D is a hexagon, 6 sides
C is a quadrilateral, 4 sides
Answer:
Step-by-step explanation:
c
a quadrillateral quadrilateral has four sides
Help please I’ll make it brainliest!!!!!
Answers
Step-by-step explanation:
it is very simple, once you remember that "kilo" means 1000, "mili" means 1/1000, and "centi" means 1/100.
and therefore 1 cg = 10 mg, or 1 cm = 10 mm.
"deci" means 1/10.
and therefore 1 dm = 100 mm, 1dg = 100 mg.
1.
9.32 kg = 9.32×1000 = 9320 g
2.
1.429 g = 1.429/1000 = 0.001429 kg
3.
287 g = 287/1000 = 0.287 kg
4.
4.6 L = 4.6×1000 = 4600 mL
5.
0.119 L = 0.119×1000 = 119 mL
6.
9936 mL = 9936/1000 = 9.936 L
7.
26793 mL = 26793/1000 = 26.793 L
8.
0.06 L = 0.06×1000 = 60 mL
9.
170 cg = 170×10 = 1700 mg
10.
2674 cm = 2674/100 = 26.74 m
11.
9.05 mm = 9.05/100 = 0.0905 dm
12.
2 L = 2×1000 = 2000 mL
13.
62.4 L = 62.4×1000 = 62400 mL
14.
99.9 mm = 99.9/1000 = 0.0999 m
15.
4.34 g = 4.34×100 = 434 cg
16.
10 km = 10×1000 m = 10×1000×1000 = 10000000 mm
17.
65 cL = 65/100 = 0.65 L
18.
105 mL = 105/1000 = 0.105 L
19.
0.27 g = 0.27×100 = 27 cg
20.
7777 m = 7777/1000 = 7.777 km
A ray extends forever in one direction. True or False
Answers
Answer:
True
Step-by-step explanation:
Rays have one endpoint and one arrow, which means that they extend forever in one direction.
write each equation in slope intercept form x+7y=48
Answers
Answer:
y=-1/7+48/7
Step-by-step explanation:
You want to isolate the Y so you subtract the x to the other side.
Next you divide both numbers on the right hand side by 7 and that gives you
y=-1/7+48/7
please answer this question
Answers
[tex]\bold{\huge{\underline{ Solution }}}[/tex]
Given :-• [tex]\sf{ Polynomial :- ax^{2} + bx + c }[/tex]
• The zeroes of the given polynomial are α and β .
Let's Begin :-Here, we have polynomial
[tex]\sf{ = ax^{2} + bx + c }[/tex]
We know that,
Sum of the zeroes of the quadratic polynomial
[tex]\sf{ {\alpha} + {\beta} = {\dfrac{-b}{a}}}[/tex]
And
Product of zeroes
[tex]\sf{ {\alpha}{\beta} = {\dfrac{c}{a}}}[/tex]
Now, we have to find the polynomials having zeroes :-
[tex]\sf{ {\dfrac{{\alpha} + 1 }{{\beta}}} ,{\dfrac{{\beta} + 1 }{{\alpha}}}}[/tex]
Therefore ,
Sum of the zeroes
[tex]\sf{ ( {\alpha} + {\dfrac{1 }{{\beta}}} )+( {\beta}+{\dfrac{1 }{{\alpha}}})}[/tex]
[tex]\sf{ ( {\alpha} + {\beta}) + ( {\dfrac{1}{{\beta}}} +{\dfrac{1 }{{\alpha}}})}[/tex]
[tex]\sf{( {\dfrac{ -b}{a}} ) + {\dfrac{{\alpha}+{\beta}}{{\alpha}{\beta}}}}[/tex]
[tex]\sf{( {\dfrac{ -b}{a}} ) + {\dfrac{-b/a}{c/a}}}[/tex]
[tex]\sf{ {\dfrac{ -b}{a}} + {\dfrac{-b}{c}}}[/tex]
[tex]\bold{{\dfrac{ -bc - ab}{ac}}}[/tex]
Thus, The sum of the zeroes of the quadratic polynomial are -bc - ab/ac
Now,Product of zeroes
[tex]\sf{ ( {\alpha} + {\dfrac{1 }{{\beta}}} ){\times}( {\beta}+{\dfrac{1 }{{\alpha}}})}[/tex]
[tex]\sf{ {\alpha}{\beta} + 1 + 1 + {\dfrac{1}{{\alpha}{\beta}}}}[/tex]
[tex]\sf{ {\alpha}{\beta} + 2 + {\dfrac{1}{{\alpha}{\beta}}}}[/tex]
[tex]\bold{ {\dfrac{c}{a}} + 2 + {\dfrac{ a}{c}}}[/tex]
Hence, The product of the zeroes are c/a + a/c + 2 .
We know that,
For any quadratic equation
[tex]\sf{ x^{2} + ( sum\: of \:zeroes )x + product\:of\: zeroes }[/tex]
[tex]\bold{ x^{2} + ( {\dfrac{ -bc - ab}{ac}} )x + {\dfrac{c}{a}} + 2 + {\dfrac{ a}{c}}}[/tex]
Hence, The polynomial is x² + (-bc-ab/c)x + c/a + a/c + 2 .
Some basic information :-• Polynomial is algebraic expression which contains coffiecients are variables.
• There are different types of polynomial like linear polynomial , quadratic polynomial , cubic polynomial etc.
• Quadratic polynomials are those polynomials which having highest power of degree as 2 .
• The general form of quadratic equation is ax² + bx + c.
• The quadratic equation can be solved by factorization method, quadratic formula or completing square method.