mZJ and m M are base angles of isosceles trapezoid JKLM. If mZJ = 18x + 8 and m_M=11x + 15 find m2K.
K
L
M
The question is incomplete. Here is the complete question.
m∠J and m∠Kare base angles of an isosceles trapezoid JKLM.
If m∠J = 18x + 8, and m∠M = 11x + 15 , find m∠K.
A. 1
B. 154
C. 77
D. 26
Answer: B. m∠K = 154
Step-by-step explanation: Isosceles trapezoid is a parallelogram with two parallel sides, called Base, and two non-parallel sides that have the same measure.
Related to internal angles, angles of the base are equal and opposite angles are supplementary.
In trapezoid JKLM, m∠J and m∠M are base angles, so they are equal:
18x + 8 = 11x + 15
7x = 7
x = 1
Now, m∠K is opposite so, they are supplementary, which means their sum results in 180°:
m∠J = 18(1) + 8
m∠J = 26
m∠K + m∠J = 180
m∠K + 26 = 180
m∠K = 154
The angle m∠K is 154°
Examine rectangle JKLM, shown below.
If JN = x + 3 and JL = 3x + 1, determine which of the following values is correct
Answer:
NM = 8
Step-by-step explanation:
Given rectangle JKLM
JN = x + 3 and JL = 3x + 1
JN = 1/2JL as diagonals bisect each other and N is the midpoint of JL.
Substitute and solve for x:
x + 3 = 1/2(3x + 1)
2x + 6 = 3x + 1
3x - 2x = 6 - 1
x = 5
Find JN
JN = 5 + 3 = 8
Looking at the options, we see that
NM = JN = 8
Correct option is A
7. A bag of M&Ms dumped on the table and you court 91 blue pieces Approximately how many
M&ms do you expect to be in the entire bag based on the proportions of the entire class?
Answer:
i would think that there would be at least 100 m&m in the bag
Step-by-step explanation:
i might be wrong a hven't had m&m in about 10 years
How many terms are in the following expression?
2x+4y+8-2
Answer:
3
Step-by-step explanation:
In this expression, the first term is 2x, then 4y, then 8-2 (which simplifies to 6).
Sajid put 49 apples in each of 23 baskets. How many apples did Sajid put in all the baskets?
Answer:
1127 apples
Step-by-step explanation:
49 x 23= 1127
Solve for x (round to the nearest thousandth)
to
FREE
HEALTH
le
110
CA
65
40°
х
Answer:
x = 79.799
Step-by-step explanation:
Apply trigonometric ratio formula to find x.
Thus, find the adjacent side of each triangle using 40° and 65° as reference angles respectively.
✔️Adjacent length of the triangle with reference angle 40°:
tan (40) = 110/adj
adj*tan(40) = 110
Adjacent length = 110/tan(40)
Adjacent length = 131.093 (nearest thousandth)
✔️Adjacent length of the triangle with reference angle 65°:
tan (65) = 110/adj
adj*tan(65) = 110
Adjacent length = 110/tan(65)
Adjacent length = 51.294 (nearest thousandth)
✔️Find x:
x = 131.093 - 51.294
x = 79.799
Need this quick please!
Select the correct answer.
1+ 3
Which expression is equivalent to 12 - 21
-
12 + 21 - 3
I +1 if no denominator equals zero?
3
O A
o
B.
1
12 – 21 – 3
1
12 – 40 + 3
1
12 + 2.1 – 3
I + 3
1+1
OC.
OD
Answer:
C is the answer i think
Step-by-step explanation:
Which equation represents g(x) as a transformation of
g(x) = f(x) -5
g(x) = f(x - 5)
g(x) = f(x) + 5
g(x) = f(x + 5)
Answer:
g(x)=f(x)-5
Step-by-step explanation:
the negative inside the parenthesis reduces the x values but we have the y value reduced by 5 here so it goes outside
The equation represents g(x) as a transformation will be g(x) = f(x) - 5. Then the correct option is A.
What is a function?A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.
From the graph, we can observe that the function g(x) is 5 units below the function f(x).
If the function gets shifted downward by k units then the k is subtracted from the function. Then the function g(x) is given as,
g(x) = f(x) - 5
The equation represents g(x) as a transformation will be g(x) = f(x) - 5. Then the correct option is A.
More about the function link is given below.
https://brainly.com/question/5245372
#SPJ5
Select the correct answer. Consider functions f and g.
The ordered pair (3,9) is a solution to the system of
equations below because the values make both
equations true.
2x + 3 = y
2x + y = 15
Is (2,7) also a solution to this system of equations?
Yes
No
Explain your thinking.
Answer:
(2,7) is not a solution to the given system of equations.
Step-by-step explanation:
Given system of equation is:
2x + 3 = y
2x + y = 15
To check whether (2,7) is solution to this system or not, we will put x=2 and y=7 in both equations.
Putting x=2 and y=7 in Eqn 1
2(2) + 3 = 7
4 + 3 = 7
7 = 7
Thus the ordered pair satisfies the equation
Putting x=2 and y=7 in Eqn 2
2(2) + 7 = 15
4 + 7 = 15
11 ≠ 15
The ordered pair do not satisfy the second equation.
Hence,
(2,7) is not a solution to the given system of equations.
helppppppppppppppppppppp
Answer:
$7.20
Step-by-step explanation:
60% of 4.5 = 2.7
4.5+2.7 = $7.2
Answer:
7.2
Step-by-step explanation:
So u do 60% of 4.5 and add ur answer to 4.5
Find the measure of<1
on selling a fan for rupees 4700 A shopkeeper loses 6% at what price must he sell it to gain 6 percentage
Given:
Selling price of a fan = Rs.4700
Loss percent = 6%
To find:
The price at which he must sell it to gain 6 percentage.
Solution:
Let x be the cost price of the fan.
Loss percent = 6%
Selling price = Cost price - 6% of cost price
[tex]S.P.=x-\dfrac{6}{100}x[/tex]
[tex]S.P.=x-0.06x[/tex]
[tex]S.P.=0.94x[/tex]
Selling price of a fan = Rs.4700
[tex]4700=0.94x[/tex]
[tex]\dfrac{4700}{0.94}=x[/tex]
[tex]5000=x[/tex]
So, the cost price of the fan is Rs.5000.
Now, he need to sell this fan in 6% gain.
Selling price = Cost price + 6% of cost price
[tex]S.P.=5000+\dfrac{6}{100}\times 5000[/tex]
[tex]S.P.=5000+300[/tex]
[tex]S.P.=5300[/tex]
Therefore, he must sell it for Rs.5300 to gain 6 percentage.
hummingbirds fly 25 miles per hour convert this speed to feet per second
Answer:
36.667
Step-by-step explanation:
thirty six point six hundred sixty seven
What is the domain of the function y=2./X-6?
O 0x
O 3x<0
O 6x<0
Answer:
because this is a positive root function, domain is positive so
0<=x<infinity
Step-by-step explanation:
Explain what is the difference between the solutions to 2x=10 and 2x > 10
Answer:
See explanation below
Step-by-step explanation:
Explain what is the difference between the solutions to 2x=10 and 2x > 10
Given the equations;
2x = 10
x = 10/2
x = 5
For the equation 2x > 10
x > 10/2
x > 5
The first equation has only one solution which is 5 while the second equation has infinite number of solutions since the values of x can take any value that is greater than 5
write in standard form: eight and twenty nine hundredths
Answer:
8 hundred 29 thousand
Step-by-step explanation:
No explanation for this question.
8.29dbyevsvegehehshhs
Tell whether or not the relation is a function.
{(-4,-7), (-1, 8), (4, -7), (4, -8)}
Answer:
Not a function because the domain 4 repeats.
PLEASE HELP NEED DONE FAST!!!
Michelle has a math assignment with 60 problems. She solved 1/5 of the problem that School. Then Michelle solved 1/4 of the remaining problems at home. How many problems she have left to solve.
Answer:1/2
Step-by-step explanation:
In a bag of Starbursts, 30% of the bag is pink. There are 90 pink starbursts in the bag. How many Starbursts are in the bag?
Answer:
27
Step-by-step explanation:
3/10 / 30% / .3
3 x
10 90 -use criss cross method so 3 and 90 and x times 10
270 =10x
27=x
you can also go on a calculator and type 90 times 0.3 and get the answer too
WORTH 20 POINTS PLS HELP!!!
On a windy morning, a hot air balloon starts rising and flying away from the top of a hill. The altitude, h, in feet, of the balloon x hours after starting its ascent from the hill, can be modeled by the function:
Part B: There is a positive and negative x intercept for this function. What is the positive x-intercept?
Explain what this x-intercept represents in the given situation.
h(x)=-16x2+64x+80
Here the positive intercept should be considered as the -1 and 5.
Calculation of the positive intercept:Since X-Intercept shows the landing point i.e. bottom of the cliff since all x intercepts contains a y value of 0.
In this case it would be 0 feet.
So,
[tex]h(x)= -16x^2-16x+80x+80[/tex]
h(x)= -x(16x-16) +5(16x+16)
h(x)= (-x+5)(16x+16)
x intercepts = -1 and 5
Learn more about intercept here: https://brainly.com/question/15546484
O will give te brainliest plz help
Answer:
B
Hope it helps uwu
An automobile manufacturer claims that its van has a 59.1 miles/gallon (MPG) rating. An independent testing firm has been contracted to test the MPG for this van since it is believed that the van has an incorrect manufacturer's MPG rating. After testing 160 vans, they found a mean MPG of 59.5. Assume the variance is known to be 2.89. A level of significance of 0.1 will be used. Find the value of the test statistic. Round your answer to 2 decimal places.
Answer:
Test statistic Z = 1.8099
Step-by-step explanation:
Step(i):-
Given that mean of the Population (μ) = 59.1 miles/gallon
Mean of the sample (x⁻ ) = 59.5
The standard deviation of the Population = 2.89
mean of the sample (n) = 160
Step(ii):-
Test statistic
[tex]Z = \frac{x^{-}-mean }{\frac{S.D}{\sqrt{n} } }[/tex]
[tex]Z = \frac{59.5-59.1 }{\frac{2.89}{\sqrt{160} } }[/tex]
Z = 1.8099
Test statistic = 1.8099
When Ms. Wilson calls to place her order, the store informs her that the delivery fee has increased by $4, but the price of the topsoil remains the same. Write an equation to represent the new situation. Explain
Answer:
28$ + 4$
Step-by-step explanation: the chart at one yard of top soil was 28$
What's equivalent to 2/5?
Answer: 4/10 , 6/15, 8/20,
Step-by-step explanation:
Answer: Equivalent fractions of 2/5 : 4/10 , 6/15 , 8/20 , 10/ Equivalent fractions of 3/5 : 6/10 , 9/15 , 12/20 , 15/
Step-by-step explanation:
You leave a 10% tip on a $30 dinner bill. Find he amount of the tip and add it to
$30. How much is your total bill, including the tip? *
so since you're only doing 10% of 30, you get 3
add 3 to 30 and you get 33
If the scale factor of a figure is 6, what is the new length of the enlarged figure matched to the length of the
orginal?
Answer:
1=6
7=42
2.5=15
5=30
Step-by-step explanation:
Multiply each original value by the scale factor
1×6=6
7×6=42
2.5×6=15 (2×6 + 6×0.5)
5×6=30
Answer:
Original: 5 cm = Enlarged: 30 cm
Original: 7 cm = Enlarged: 42 cm
Original: 2.5 cm = Enlarged: 15 cm
Original: 1 cm = Enlarged: 6 cm
Step-by-step explanation:
Edg Warm-up answer 2021
Becca has 115 students. Susana has 8 fewer students than Becca. Erika has 25 more students than Susana. How many students does Susana have? *
Answer:
Susana will have 107 students.
Step-by-step explanation:
Becca have students = 115
Susana has 8 fewer students than Becca.We can write its as:
Becca has 115 students, so Susana will have 115-8 = 107 students
Because fewer means less than so, 8 less than 115 is 115-8
Erika has 25 more students than Susana.We can write it as:
Susana has 107 students, so Erika will have: 107+25 = 132 students.
because more means we need to add 25 students with number of students in Susana class.
So, Susana will have 107 students.
When dividing 8,164 by 78.5, what is the place value of the last digit in the quotient? ones tenths hundredths thousandths
Answer:
ones
Step-by-step explanation:
^^^^^^^^^^
A baby elephant weighs 200 pounds at birth. It gains 3 pounds every day. Write an equation that represents this situation.
Answer:
y=200+3x
Step-by-step explanation:
I hope that this helps you