Answer:
6
Step-by-step explanation:
The required value of x is 3 for the given trapezoid.
What is a trapezoid?A trapezoid is a quadrilateral having two parallel bases and one set of other sides called as legs.
Given that EF and HG are the bases and J and K are the midpoints of the legs, we can use the midsegment theorem which states that:
The segment connecting the midpoints of the legs of a trapezoid is parallel to the bases and is equal to half the length of the bases.
We can use this theorem to write the equation:
JK = (EF+HG)/2
Now we are given that:
EF=3x+2 , HG=7x−2 , and JK=15
So we can substitute these values in the equation:
15 = (3x+2+7x-2)/2
15 = (10x)/2
15 = 5x
x = 3
Thus, the required value of x is 3.
Learn more about the trapezoid here :
brainly.com/question/8643562
#SPJ2
Find the value of each power
Answer:
(20). 256^0 = 1
(21). 10^2 = 100
(22). 4^4 = 256
(23). 3^5 = 243
Step-by-step explanation:
(20). 256^0 = 1
(21). 10^2 = 10*10 = 100
(22). 4^4 = 4*4*4*4 = 256
(23). 3^5 = 3*3*3*3*3 = 243
Please help ASAP!!!! Due in 5
Answer:Y=2
Step-by-step explanation:
Answer:
y =-1
Step-by-step explanation:
Explain how to divide an integer by a decimal
Answer:To divide decimal numbers: Multiply the divisor by as many 10's as necessary until we get a whole number. Remember to multiply the dividend by the same number of 10's.
Step-by-step explanation:
The sum of 4 plus 7 equals 44
Answer:
Hello!!! Princess Sakura here ^^
Step-by-step explanation:
First you have to translate it into an understandable equation like this...
[tex]4+7=44[/tex]
You don't have to solve it because it is obvious that 4 and 7 don't add up to 44.
Answer:
Step-by-step explanation:
4+7=44
11=44
11-44 is -33 i guess is what you are looking for?
if y= 6 when x= 24, find the value of x when y= 7
Answer:
x=28
Step-by-step explanation:
the y to x ratio is 1:4 or in other words all you need to do is multiply the y by 4 to get your new x value
-Hope this helps
Answer:
x=28 Hope this helps
Write the equation of the line that passes through the given points.
(0, -3) and (-4,-10)
Answer: y = (7/4)x - 3
Step-by-step explanation:
m = (-10 - (-3))/(-4 - 0) = -7/(-4) = 7/4
y-intercept = (0, -3)
y = (7/4)x - 3
Given the two functions below, tell me what type of graphs they are and
how p(x) differs from g(x)
p(x)=8x^2
g(x) = x^2
Answer:
Step-by-step explanation:
p(x) = 8x^2 is an increasing exponential curbed graph which starts from quadrant 2 , passes through the point (0, 8) on the y axis and rises steeply to the right.
g(x) = x^2 is a parabola ( shaped like a U) which has a minimum value at (0, 0).
and opens upwards either side of the y-axis. This type of curve is called a parabola.
need this asap please !:)
at a local strawberry farm customers fill a bucket with strawberries. the function f(x)=4x models the cost for the strawberries, where x is the number of pounds of strawberries in
the bucket. a bucket can hold up to 10 pounds of strawberries. which is an appropriate domain of the function?
*answer choices in picture!*
answer - o<x<10
thank me later
Help!!
Find the difference between and 8/15 and-2/3. Show all calculations in your final answer.
Answer:
-2/15
Step-by-step explanation:
8/15-2/3
8/15-10/15
-2/15
Common Denominator
What is the distance in the map (in centimeters) represents an actual distance of 4 kilometers?
Answer:
400k four hundred thousand centimeters is 4 kilometers
h(x)=2x+5 k(x)=x+3 find (h(k(x)))
Answer:
h(k(x)) = 2x + 11
Step-by-step explanation:
Step 1: Define
h(x) = 2x + 5
k(x) = x + 3
h(k(x))
Step 2: Substitute and Evaluate
k(x) = x + 3 = x
h(k(x)) = 2(x + 3) + 5
h(k(x)) = 2x + 6 + 5
h(k(x)) = 2x + 11
The equation [BLANK] has no solution.
ANSWERS:
13y+2-2y=10y+3-y
9(3y+7)-2=3(-9y+9)
32.1y+3.1+2.4y-8.2=34.5y-5.1
5(2.2y+3.4)=5(y-2)+6y
Answer:
5(2.2y+3.4)=5(y-2)+6y has no solution
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
The third one down.
32.1y+3.1+2.4y-8.2=34.5y-5.1
Combine like terms
34.5y + 3.1 - 8.2 = 34.5y - 5.1
34.5y - 5.1 = 34.5y - 5.1 y can be anything
===========================
Remove the brackets from D
11y + 17 = 5y - 10 + 6y
11y + 17 = 11y - 10
This gives 17 = - 10 which of course is nonsense.
D has no solution.
What are the first 4 terms use the explicit rule:
f(n)= 3n-1
(show your work)
Answer:
25811Step-by-step explanation:
We are given the rule [ f(n) = 3n - 1 ] and n represents the term.
First term:
f(n) = 3n - 1
f(1) = 3(1) - 1
f(1) = 3 - 1
f(-1) = 2
Second term:
f(n) = 3n - 1
f(2) = 3(2) - 1
f(2) = 6 - 1
f(2) = 5
Third term:
f(n) = 3n - 1
f(3) = 3(3) - 1
f(3) = 9 - 1
f(3) = 8
Fourth term:
f(n) = 3n - 1
f(4) = 3(4) - 1
f(4) = 12 - 1
f(4) = 11
As you can see, the common difference is 3.
Best of Luck!
Answer:
2,5,8,11
Step-by-step explanation:
If n=1, 3n-1 =3*1-1 =3-1 =2
If n=2, 3n-1 =3*2-1 =6-1 =5
If n=3, 3n-1 =3*3-1 =9-1 =8
If n=4, 3n-1 =3*4-1 =12-1 =11
Two angles of a triangle measure 55° and 20°.
What is the measure of the third angle of the triangle?
A. 15°
B. 90°
C. 105°
D. 2850
Answer:
C. 105 is the answer
Step-by-step explanation:
Richard and Teo have a combined age of 35. Richard is 5 years older than twice Teo's age. How old are Richard and Teo?
Answer: Teo is 10 years old and Richard is 25 years old
Factor completely x2 − 7x + 18. (1 point)
Prime
(x − 9)(x − 2)
(x − 9)(x + 2)
(x + 9)(x + 2)
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex] {x}^{2} - 7x + 18 = (x - 9)(x + 2) \\ [/tex]
Thus the correct answer is the second one.
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
I need help finding the slope, the Y intercept and the equation for this graph???
Answer:
Step-by-step explanation:
y intercept is 4
slope is 6/3 is 2
y=2x+4
Having chosen to use a survey to obtain descriptive data on consumers and their drink preferences, you now need to decide how to contact consumers. You want to gather a large quantity of data fairly quickly, while not incurring high costs. How will you collect this data?
Answer:
Telephone interview, emails
Step-by-step explanation:
From the question you are trying To minimize cost in the collection of the survey data. To do this, we can use either phone interviews or emails. Using telephone methods have high rates of response and we can easily gather responses. It also gives an opportunity to answer any question respondents may have. Email surveys gives an opportunity for respondent's to share more sensitive details and also respond at their own time.
Write the equation of a line that includes the point (1, 5) and has a slope of 3 in slope-intercept form
Answer:
y=3x+2
Step-by-step explanation:
y=mx+b
We have our m, which is slope, but we need our y intercept, b.
Substitute your slope, x, and y into the formula and solve for b.
5=3(1)+b
5=3+b
-3 -3
2=b
Now we can plug into equation.
y=3x+2
Simplify:
3c-5d+5d
Pls
Answer:
3 c
Step-by-step explanation:
Simplify the following:
5 d - 5 d + 3 c
Hint: | Combine like terms in 5 d - 5 d + 3 c.
5 d - 5 d = 0:
Answer: 3 c
Answer:
3c-10d is the supposed awnser I think
A circle is translated 4 units to the right and then reflected over the x-axis. Complete the statement so that it will always be true of the circle at the new location.
The circle at the new location has the original circle.
the same center as
twice the circumference of
half the radius of
the same area as
Options
The circle at the new location has _____________ the original circle.
- the same center as
- twice the circumference of
- half the radius of
- the same area as
Answer:
the same area as
Step-by-step explanation:
When a circle is translated and reflected, the center of the circle will change; however, its area, circumference, radius and diameter remain the same.
This is so because, translation and reflection only affect the positioning of the circle not the size.
Considering the above analysis, we can conclude that option d answers the question correctly.
Answer:
the same area as
NEED HELP ASAP! 50 POINTS!
The line with slope when m= -4/7 and (0,-11). Use point slope formula, y - yo =m (x - x0)
Use the graph to evaluate the function.
f(-5) =
y
-8 -6
Answer:
-4
Step-by-step explanation:
Go to x value of -5 and go down until you touch line.
find x
3x
2x+40
x+50
4x
Answer:
27
Step-by-step explanation:
The sum of all exterior angles of any quadrilateral= 360°
3x+2x+40+x+50+4x = 360°
11x + 90 = 360°
11x = 360 - 90
10x = 270
x = 270/10
x = 27
One year Terry had the lowest ERA (earned-run average, mean number of runs yielded per nine innings pitched) of any male pitcher at his school, with an ERA of 2.85 . Also, Karla had the lowest ERA of any female pitcher at the school with an ERA of 2.95 . For the males, the mean ERA was 4.893 and the standard deviation was 0.949 . For the females, the mean ERA was 4.348 and the standard deviation was 0.997 . Find their respective z-scores. Which player had the better year relative to their peers, Terry or Karla ? (Note: In general, the lower the ERA, the better the pitcher.)
Answer:
Their respective z-scores are:
Thomas : -2.15279
Karla : -1.40221
Which player had the better year relative to their peers, Terry or Karla ?
Terry had a better year because he had a lower Era and he was a better pitcher.
Step-by-step explanation:
The formula for calculating a z-score is is z = (x-μ)/σ,
where x is the raw score,
μ is the population mean
σ is the population standard deviation.
any male pitcher at his school,
For Thomas:
z = (x-μ)/σ
x = 2.85 μ = 4.893 σ = 0.949.
z = 2.85 - 4.893/0.949
z = -2.15279
For Karla
z = (x-μ)/σ
x = 2.95 μ = 4.348 σ = 0.997.
z = (2.95 - 4.348) /0
z = -1.40221
Their respective z-scores are:
Thomas : -2.15279
Karla : -1.40221
Which player had the better year relative to their peers, Terry or Karla ? (Note: In general, the lower the ERA, the better the pitcher.)
Terry had a better year because he had a lower Era and he was a better pitcher.
The price at an item has been reduced by $3.49. The original price was $66.75. What is the price now?
Answer:
i need help
Step-by-step explanation:
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what is the total area of the three triangle ?
Answer b. 13 square units
in a complete sentence describe how much smaller the 3 in 743,857 is than the 3 in 735,957
Answer:
The 3 in 743,857 is 27,000 less than the 3 in 735,957.
Step-by-step explanation:
in 743,857 the 3 is 3,000
in 735,957 the 3 is 30,000
30,000 - 3,000 = 27,000
Anyone know how to do??
Answer:
x = 15°
Step-by-step explanation:
∠2 and ∠4 are same-side interior angles, meaning they add up to 180
2x + 10 + 4x + 80 = 180
Rearrange (collect like terms)
6x = 180 - 80 - 10
6x = 90
x = 15°
Answer:
x = 15Step-by-step explanation:
∠2 = 2x + 10
∠4 = 4x + 80
∠2 and ∠4 are supplementary angles, this mean ∠2 + ∠4 = 180
2x + 10 + 4x + 80 = 180
combine similar terms: 6x = 180 - 80 - 10
simplify: 6x = 90
solve for x = 90 / 6
x = 15
Each year a store decreased the price of a certain model of TV by $35. If the
price in 2001 was $1,950, what was the price in 2009?
Group of answer choices
Answer:
1,670
Step-by-step explanation:
35 x 8 = 280
1,950 - 280 = 1,670