Answers
Answer:
x = 8
Step-by-step explanation:
∠M = ∠K7x - 4 = 5x + 122x = 16x = 8Answer:
x = 8
m∠M = 52°
m∠K = 52°
m∠L = 128°
m∠J = 128°
Step-by-step explanation:
If the given shape is a parallelogram, its opposite interior angles are equal.
⇒ m∠M = m∠K
⇒ 7x - 4 = 5x + 12
Subtract 5x from both sides:
⇒ 2x - 4 = 12
Add 4 to both sides:
⇒ 2x = 16
Divide both sides by 2:
⇒ x = 8
Substitute found value of x into the expressions for each angle to find the measures of the angles:
⇒ m∠M = 7(8) - 4 = 52°
⇒ m∠K = 5(8) + 12 = 52°
As the angles on the same side of the transversal in a parallelogram sum to 180°, then
⇒ m∠J + m∠M = 180°
⇒ m∠J = 180° - m∠M
⇒ m∠J = 180° - 52°
⇒ m∠J = 128°
As m∠L = m∠J then m∠L = 128°
Related Questions
Make x the subject a(x-a)=a^2
Answers
Answer:
x = 2a
Step-by-step explanation:
a(x - a) = a² ( divide both sides by a )
x - a = a ( add a to both sides )
x = 2a
Answer:
x = 2a
Step-by-step explanation:
Given equation
[tex]\sf a(x-a)=a^2[/tex]
Make x the subject
expand brackets:
[tex]\sf \implies ax-a^2=a^2[/tex]
Add [tex]\sf a^2[/tex] to both sides:
[tex]\sf \implies ax-a^2+a^2=a^2+a^2[/tex]
[tex]\sf \implies ax=2a^2[/tex]
Divide both sides by a:
[tex]\sf \implies \dfrac{ax}{a}=\dfrac{2a^2}{a}[/tex]
[tex]\sf \implies x=2a[/tex]
Final solution
[tex]\sf x=2a[/tex]
O f 2 0 0 0 0 small businesses surveyed, about 82%
said they employed women in some capacity.
Of the businesses that employed women, 19. 5%
employed no female supervisors, 50% employed
only one female supervisor, and the remainder
employed more than one female supervisor,
a How many of the businesses surveyed
employed no women?
b W hat proportion of businesses surveyed
employed exactly one female supervisor?
c W hat proportion of businesses surveyed
employed no female supervisors?
d Given that a particular firm employed women,
what is the probability that it employed at
least one female supervisor
Answers
Using proportions, it is found that the desired amounts are given as follows:
a) 360 businesses employeed no women.
b) 41% of the businesses surveyed employed exactly one female supervisor.
c) 15.58% of the businesses surveyed employed no female supervisors.
d) 80.5% probability that it employed at least one female supervisor.
What is a proportion?A proportion is a fraction of a total amount.
Item a:
18% out of the 2000 businesses surveyed, hence:
n = 0.18 x 2000 = 360.
Item b:
50% out of 82%, hence:
p = 0.5(0.82) = 0.41.
41% of the businesses surveyed employed exactly one female supervisor.
Item c:
19% out of 82%, hence:
p = 0.19(0.82) = 0.1558.
15.58% of the businesses surveyed employed no female supervisors.
Item d:
100 - 19.5 = 80.5% probability that it employed at least one female supervisor.
More can be learned about proportions at https://brainly.com/question/24372153
What value of k make the equation 7(14k + 15) -7 = 19k + 6 (-13 + 15k) true?
A. -5
B. -9
C. 16
D. 25
Answers
Alex just started college and has taken a 10-year subsidized loan out for $5,500 with 6.5% deferred interest. He plans on graduating in 4 years. Determine the money payment alex will pay upon graduation.
Answers
Given that the 6.5% interest on the $5,500 loan is deferred during college, the amount Alex will pay upon graduation is $81.67 monthly.
How can the amount Alex will pay be found?The number of years for the loan = 10-year
The loan amount = $5,500
The number of years for the interest = 6 years
The monthly payment formula is presented as follows;
[tex]a = \frac{p \times \frac{r}{12} \times {(1 + \frac{r}{12} )}^{84} }{({1 + \frac{r}{12} )}^{84} - 1}[/tex]
Which gives;
[tex]a = \frac{5500 \times \frac{0.065}{12} {(1 + \frac{0.065}{12} })^{84} }{{(1 + \frac{0.065}{12} })^{84}} = 81.67[/tex]
The amount Alex will pay upon graduation is $81.67 each monthLearn more about monthly payment on loan formula;
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Look at the photo attached
Answers
Answer:
Step-by-step explanation:
A = true
D = true
20 points
Data from a certain village hospital show that the number of frostbite cases is positively correlated with the number of sledding accidents. Which of the following factors would
best explain why this correlation does not necessarily imply that frostbite is the main cause of sledding accidents?
People with frostbite tend to have more difficulty controlling sleds.
the frostbite cases and sledding accidents were not randomly selected.
The hospital treats more sledding accidents than cases of frostbite.
It is likely that both the number of frostbite cases and the number of sledding accidents are negatively correlated with temperature.
Answers
Answer: it is likely that both the number of frostbite cases and the number of sledding accidents are negatively correlated with temperature.
Step-by-step explanation: I just took the test.
The correct answer is the frostbite cases and sledding accidents were not randomly selected.
What is Statistics?Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.
If the data for the number of frostbite cases and sledding accidents were not randomly selected, then the correlation between them might not be valid.
if the data were only collected during a specific time period when sledding was popular and the weather was cold, then the number of frostbite cases and sledding accidents might be higher than normal.
In this case, the correlation might be due to the common factor of cold weather, rather than frostbite causing sledding accidents.
Therefore, it is important to consider the methodology of the study and the factors that might influence the correlation between frostbite cases and sledding accidents before concluding that frostbite is the main cause of sledding accidents
To learn more on Statistics click:
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#SPJ2
What is the area of the shaded region?
A. 16π
B. 8π
C. 4π
D. 2π
Answers
Area of a circle = pi x r^2
Area of the circle = 4^2 x pi = 16pi
3/4 of the circle is shaded
area of shaded portion = 3/4 x 16pi = 12pi
Answer 12 pi
Answer:
b
Step-by-step explanation:
4 of the nonshaded areas =a
Systems of equations by graphing
What would y = for this system?
Answers
Answer:
y = 0
Step-by-step explanation:
The intersection point of the system lies on the x-axisWe the y-value of the x-axis is 0y = 0If someone has 8 fl. oz. of 16% wine, how many standard drinks has that person consumed?
Answer must be a number below 6
Answers
Answer:
2.1 standard drinks
(or 2 if you need to round to the nearest whole number)
Step-by-step explanation:
The ABV (alcohol by volume) percentage is a measure of the amount of pure alcohol (as a percentage) of the total volume of liquid in a drink.
So for 16% wine, this means that 16% of the volume of the wine is pure alcohol.
Therefore, if 16% of 8 fl oz is pure alcohol, this means that 1.28 fl oz of the 8 fl oz is pure alcohol (since 0.16 × 8 = 1.28).
One standard drink ≈ 0.6 fl oz pure alcohol
To calculate the number of standard drinks, divide the total amount of pure alcohol found by the amount in one standard drink:
1.28 ÷ 0.6 = 2.1
Therefore there is approximately 2.1 standard drinks in 8 fl oz of 16% wine.
AABC and AXYZ are similar. Find the missing side length.
Y
B.
6.
?
15
5
A
4
С
X
12
Z
(The triangles are not drawn to scale.)
Answers
Answer:
2
Step-by-step explanation:
As they are SIMILAR, they have a ratio!
15:5=3
So, the scale factor is 3 from triangle ABC to triangle XYZ
6/3=2
WILL GIVE BRAINLIEST ANSWER.
A soda can holds 235.5 in^3 of liquid. If the can is 5 inches tall, what is the distance across the top of the soda can?
Answers
Answer:
7.744
Step-by-step explanation:
For this problem you have to work backwards
The equation for the volume is V = (area of circle) x height
So here, to solve the area of the circle, you need to divide the 235.5 by 5
So:
235.5 = (area of circle) x 5
Area of circle is 47.1
Then, you need to find the radius of the circle by using this equation for the area of a circle
[tex]A = \pi \cdot r^{2}[/tex]
So:
47.1 = π * [tex]r^{2}[/tex]
r = 3.872
This question is asking for the diameter, which is double the radius,
2 x 3.872 = 7.744
Help asap
photo attached
the function f has a continuous derivative. if f(0) = 1, f(2) = 5 and integral from 0 to 2 f(x) dx = 7, what is integral from 0 to 2 x • f’(x) dx?
a. 3
b. 6
c. 10
d. 17
Answers
No photo attached, but no need.
We're given that f(0) = 1 and f(2) = 5, and that
[tex]\displaystyle \int_0^2 f(x) \, dx = 7[/tex]
Integrate x f'(x) by parts, with
[tex]u = x \implies du = dx[/tex]
[tex]dv = f'(x) \, dx \implies v = f(x)[/tex]
Then
[tex]\displaystyle \int_0^2 x f'(x) \, dx = uv\bigg|_{x=0}^{x=2} - \int_0^2 v \, du \\\\ = x f(x) \bigg|_{x=0}^{x=2} - \int_0^2 f(x) \, dx[/tex]
Now just plug in everything you know:
[tex]\displaystyle \int_0^2 x f'(x) \, dx = 2f(2) - 0f(0) - \int_0^2 f(x) \, dx = 10 - 0 - 7 = \boxed{3}[/tex]
Consider the division statement 1/4 divided by 7/16
Answers
Answer:
4/7
Step-by-step explanation:
1/4 divided by 7/16 is the same thing as 1/4 * 16/7. Multiply this and you will get the fraction of 16/28. Once simplified, this comes out to be 4/7.
The sales tax is $14 per
$100 What percent is the
sales tax? Show your
work.
NEED HELP ASAP PLEASE
Answers
We know this because 14 out of 100 is the same as 14%
Answer:
14%
Step-by-step explanation:
lets whip out that EPIC CALCULATOR! alright so i hope that you have your calculator with you, whether it is a physical one or a digital one on your computer.
try this:
enter 14, then the division sign ( could be a ÷ or an / ) and then 100.
what do we get?
0.14
ok, now lets multiply this by 100 to get the PERCENT instead of the DECIMAL, and we get
14%
EPIC!
Work out the coordinates of the midpoint of MN.
M (-5, 3) N(7, -8)
Answers
Answer:
(1, - 2.5 )
Step-by-step explanation:
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 ) = (M (- 5, 3 ) and (x₂, y₂ ) = N (7, - 8 ) , then
midpoint = ( [tex]\frac{-5+7}{2}[/tex] , [tex]\frac{3-8}{2}[/tex] ) = ( [tex]\frac{2}{2}[/tex] , [tex]\frac{-5}{2}[/tex] ) = ( 1, - 2.5 )
Two six-sided dice are rolled and their product is taken. How many elements are in the subset of even numbers?
Answers
12 in all:
{2, 4, 36, 6, 8, 10, 12, 16, 18, 20, 24, 30}
Answer:
Step-by-step explanation:
Scientists were studying snakes by catching, tagging, and releasing 77 snakes. A month later, the scientists come back and catch 11 snakes, of which 7 are tagged. Assuming that the catch is representative, how many snakes are there?
Answers
The circumference of a compact disc is 28.26 centimeters. If the diameter of the
compact disc is 9 centimeters, which of the following best describes n?
Answers
Answer:
Step-by-step explanation:
where is the full question????
Please help me I AM BEGGING please
Answers
Answer:
218
Step-by-step explanation:
the triangle is a right angle triangle. Therefore, we can use the Pythagorean thereom.
A^2 + 16^2 = 20^2
A^2 + 256 = 400
400 - 256 = 144
Square root of 144 is 12
Unknown side is 12
Find the area of the triangle:
16 x 12 = 192
192/2 = 96
The area is 96
Now find the area of the circle:
pi x the radius^2
The diameter is 20, so the radius is 10
Pi x 10^2 = 314
314 - 96 = 218
A = π x d2/4
A= π x (20^2)/4
= 314.16 m2
Considering the other side of triangle
= √[(20^2)-(16^2)]
= √(400-256)
= √144
= 12 m
Considering area of triangle
A = 1/2 x bh = 1/2 x 16 x 12
A= 96 m2
Area of shaded region
= area[ circle - triangle]
= 314.16 - 96
= 218.16 m2
Answer = 218.16
What is the value of ice cream and coffee?
Answers
Answer:
ice cream 3
coffee 5
................
Answer:
coffee is $5 each and $3 for ice cream
Step-by-step explanation:
(-2)-(3)+(+5)
por favor e pra hj,amanha vou ter aula cedo
Answers
Answer:
0
Step-by-step explanation:
-2-3+5
-5+5
0
Danny has 1.08 pounds of cat food. he uses 0.12 pound of cat food to feed one cat. how many cats can danny feed with the cat food he has?
Answers
Answer:
9
Step-by-step explanation:
1.08 divided by 0.12 equals 9
please help I am confused
Answers
Answer:
Step-by-step explanation:
Let's check the transformation from C(1,3) to C'(5,2).
(1) C(1,3) would become C'(2,-1), which is wrong.
(2) You can eliminate this, as the image and preimage are in the same quadrant.
(3) You can eliminate this, as the image and preimage are in the same quadrant.
(4) C(1,3) would become C'(5,2), which is correct.
What is the standard form of the equation of a circle given by x2 y2 – 18x 8y 5 = 0? ( )² ( )² =
Answers
The standard form of the given equation [tex]x^2+y^2-18x+8y+5=0[/tex] will be given as [tex](x-9^2)+(y+4)^2=(2\sqrt{23} )^2[/tex]
What is the equation of a circle?The general form of the equation of the circle is given as
[tex](x-h)^2+(y-k)^2=r^2[/tex]
We have the equation
[tex]x^2+y^2-18x+8y+5=0[/tex]
By adding 81 and 16 on both sides
[tex]x^2-18x+81+y^2+8y+16=-5+81+16[/tex]
[tex](x-9)^2+(y+4)^2=92[/tex]
[tex](x-9)^2+(y+4)^2=(2\sqrt{23})^2[/tex]
Thus the standard form of the given equation [tex]x^2+y^2-18x+8y+5=0[/tex] will be given as [tex](x-9^2)+(y+4)^2=(2\sqrt{23} )^2[/tex]
To know more about the equation of the circle follow
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Answer:
x-9, y+4, & 92
Step-by-step explanation:
i did it
If you can help me that would be great the instructions are to factor these polynomial Don’t answer just to get pointsNO LINKS!!!!!!!!!!!
Answers
Answer:
3. 3(x+y)(x-y)
4. (y²+4)(y+2)(y-2)
5. 2(3x+1)(x+2)
Step-by-Step:
3. 3(x²-y²) = 3(x+y)(x-y)
4. y⁴-16 = (y²+4)(y²-4)= (y²+4)(y+2)(y-2)
5. 6x²+14x+4 = 2(3x²+7x+2) = 2(3x+1)(x+2)
PLEASE RATE!!! I hope this helps!!!
If you have any question comment below
(I have verified my answers on an online calculator)
If f(x)=2x - 4, then f(-3)=?
Answers
Answer: f(-3) = -10
Step-by-step explanation:
[tex]Substitute \ $x=-3$\\\\$$\begin{aligned}&f(3)=2(-3)-4 \\&f(3)=-6-4 \\&f(3)=-10\end{aligned}$$[/tex]
The length, breadth and height of room are in the ratio of 5:3:1 and the room contains 960m³ of air . What is the cost of plastering its walls, floor and ceiling at Rs. 30 per m²?
Answers
Answer:
Rs. 22,080.
Step-by-step explanation:
Let the height be x m then the breadth is 3x and the length 5x m.
x * 3x * 5x = 960
15x^3 = 960
x^3 = 64
x = ∛ 64 = 4m.
Therefore the height is 4m, the breadth = 12 m and the length = 20m.
So the area of all the surfaces
= 2 * short wall + 2 * long wall + floor + ceiling
= 2 *4*12 + 2*4*20 + 12*20 + 12*20
= 96 + 160 + 240 + 240
= 736 m^2.
Cost plastering = 736 * 30 = Rs. 22,080
Anyone know the answer
Answers
so the equation is 1 1/3 ÷ 1 2/5
simpilify it
4/3 ÷ 7/5
since its division, you want to make it multiplication to you switch the fractions around.
you get the equation 3/2 * 5/7
which is 15/14
that converted to a improper fraction is 1 1/14
answer: 1 1/14
please help i am confused
Answers
Answer:
The last answer.
Step-by-step explanation:
Regular means all the side lenghts are the same and all the interior angle measures are the same. Think a stop sign.
Irregular polygons have different side lengths and different interior angle measures.
Jerome is cooking dinner. He needs 8 ounces of broccoli for each person.
Part A: Jerome is not sure how many people will come to dinner. Write an expression with a variable that represents the amount of broccoli Jerome needs for dinner. Identify what the variable represents.
Part B: If Jerome has 32 ounces of broccoli, how many people can he feed? Create an equation and show all work to solve it.
Answers
Answer:
Part A: X·8=Y
X represents the amount of people. Multiply X by 8 to see how many (Y) ounces of broccoli will be needed.
4·8=32
Jerome would be able to feed 4 people with 32 ounces of broccoli if each person is to get 8 ounces.
Step-by-step explanation: