Answers
Answer:
Step-by-step explanation:
AB ≅ BC. So, ΔABC is an isosceles triangle
Opposite angles of equal sides are equal.
∠BAC = ∠BCA = x°
In ΔABC,
∠ABC + ∠BAC + ∠BCA = 180 {Angle sum property of triangle}
56 + x + x = 180
56 + 2x = 180
2x = 180 - 56
2x = 124
x = 124/2
x = 62°
∠BAC = ∠BCA = 62°
∠DCF = ∠BCA {Vertically opposite angles}
∠DCF = 62°
CDEF is a parallelogram.
In parallelogram, opposite angles are congruent.
∠DEF = ∠DCF
∠DEF = 62°
In a parallelogram, sum of adjacent angles = 180
∠DEF + ∠CDE = 180
62 + ∠CDE = 180
∠CDE = 180 - 62
∠CDE = 118°
∠CFE = ∠CDE {In parallelogram, opposite angles are congruent}
∠CFE = 118°
Related Questions
A student finds the slope of the line between (8,17,) and (1,4) she writes 17-4/1-8 What mistake did she make?
Answers
The first mistake is that she didn't use parenthesis to indicate we're dividing all of one thing (numerator) over all of another expression (denominator)
slope = rise/run = numerator/denominator
So she should write (17-4)/(1-8) to indicate all of "17-4" is divided over all of "1-8"
However, there's another error that your teacher is probably more focused on. Note how 17-4 represents subtracting the y coordinates from left to right. We start with the left point y coordinate 17 and subtract off the right point y coordinate 4
left y - right y = 17 - 4
But then the student swaps the order when they wrote 1-8. Instead it should be 8-1
-----------------
Here's what they should have written (17-4)/(8-1)
This is the same as (4-17)/(1-8)
We can subtract in any order as long as it stays consistent between the numerator and denominator
Solve: 6 - x=-12 )
A) -18
B) C 0
D) 18
Answers
Answer:
D) 18
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable
Answer:
[tex]6 - x = - 12 \\ constants \: nearer \\ 6 + 12 = x \\ x = 18 \\ thank \: you[/tex]
Please help me this question
Answers
Answer:
∠ BNM = 150°
Step-by-step explanation:
Project MN to meet AB at point P, then
Δ ANP is a right triangle with sum of angles = 180°, thus
x = 180° - (90 + 30)° = 180° - 120° = 60°
∠ BNM = x + 90 = 60 + 90 = 150°
You weigh six packages and find the weights to be 28, 22, 52, 25, 49, and 46 ounces. If you include a package that weighs 142 ounces, which will increase more, the median or the mean?
Answers
Answer:
Step-by-step explanation:
Original Median (28+46)/2 = 37
Original Mean (222/6) = 37
New Median (46)
New Mean (52)
Mean increases the most.
The mean will increase more.
We have weights of six packages 28, 22, 52, 25, 49, and 46.
We have to find if we include a package that weighs 142 ounces, which will increase more, the median or the mean.
What is the formula to find the Median of a set of odd number of elements (say N) ?If a set consist of odd number of elements, then the median of that set of numbers is the is the element at the position [tex]\frac{(N+1) }{2}[/tex].
If we don't include the package of 142 ounce, then -
Mean = [tex]\frac{28 + 22 + 52 + 25 + 49 + 46}{6} = 37[/tex]
Median = [tex]\frac{52 + 25}{2} = 38.5[/tex]
After including the package of 142 ounce,
Mean = [tex]\frac{28 + 22 + 52 + 25 + 49 + 46+142}{6} = 52\\[/tex]
Median = Element at [tex]\frac{(N+1) }{2}[/tex] position = 25
Hence, mean increase more.
To solve more questions on mean and median, visit the link below -
https://brainly.com/question/9820885
#SPJ2
Given A(-4,8), D(-7,4), and H(-3,1), plot the points, and
trace the triangle.
Answers
Answer:
See attached
Step-by-step explanation:
The points are plotted and connected to make a triangle
[tex]\setlength{\unitlength}{1cm}\begin{picture}(0,0)\thicklines\put(-4,8){\circle*{0.3}}\put(-7,4){\circle*{0.3}}\put(-3,1){\circle*{0.3}}\qbezier(-4,8)(-4,8)(-3,1)\qbezier(-4,8)(-4,8)(-7,4)\qbezier(-7,4)(-7,4)(-3,1)\end{picture}[/tex]
Write the equation of the line which passes
through the points (4,2) and (-3, 1)
Answers
Answer:
y = 1/3x + 4/7
Step-by-step explanation:
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Slope-Intercept Formula: y = mx + b
Step 1: Find slope m
m = (1 - 2)/(-3 - 4)
m = -1/-7
m = 1/7
y = 1/7x + b
Step 2: Find y-intercept b
1 = 1/7(3) + b
1 = 3/7 + b
b = 4/7
Step 3: Write linear equation
y = 1/3x + 4/7
An average woman walks at a speed
of 255 feet per minute. At this rate,
how far would Mrs.
ft
Hill walk in an hour?
Answers
Answer:
15,300 ft or 2.9 miles
Step-by-step explanation:
Distance = Rate * Time (but rate and time must be in the same units)
convert hours to minutes
1 hr * 60 min/hr = 60 min
then
D = 255 ft/min * 60 min
D = 15,300 ft
if you want miles, convert ft to miles (5280 ft per mile)
15,300 ft * 1 mi/5280 ft
2.9 mi
Each lap around a park is 1 1⁄5 miles. Kellyn plans to jog at least 7 1⁄2 miles at the park without doing partial laps. How many laps must Kellyn jog to meet her goal?
Answers
Answer:
25/4 laps or (6.25 laps)
Step-by-step explanation:
1 lap = 1 1/5 miles
kellyn plans to jog 7 1/2 miles
1 lap
number of laps = 7 1/2 miles x -------------- = 25/4 laps or (6.25 laps)
1 1/5 miles
When the input is 1, what is the output of the function? That is, find the value of g(1).
Answers
Answer:
g(1) = 1
Step-by-step explanation:
In this situation, one is given a graph of the function (g(x)), and one is asked to evaluate the function (g(x)) for (1). An easy way to do so is to find (x = 1) on the coordinate plane, then draw a vertical line at this point. Note the place where (x = 1) intersects the graph of (g(x)). The (y-coordinate) of this intersection point is the output of the function (g(x)).
The line (x = 1) intersects the function (g(x)) at the point (1, 1). Thus (g(1) = 1).
please help !!! idk how to do this
Answers
Answer:
C
Step-by-step explanation:
Here, we want to state the interval that has the highest frequency.
What we are asked here is the range of values where we have the the most common salary.
For 0-10, we have 1 ( Estonia)
For 11-20, we have 1 (Israel)
For 21-30 , we have 0
For 31-40, we have 1 ( Greece)
For 41-50, we have 5
For 51-60, we have 3
For 61-70, we have 1 (Luxembourg)
So 41-50 is the class with the highest frequency
Hannah’s mom bought a variety pack of chips. There were a total of 12 bags. Her mom put the bags in a jar. There were 5 barbecue,3 plain,3 sour cream, and 1 tortilla.
What is the probability of Hannah selecting a bag of barbecue chips if she doesn’t look in the jar?
A.) 5/12
B.) 5/7
C.) 12/5
D.) 1/12
E.) 7/12
Answers
Answer:
5/12
Step-by-step explanation:
There is a total of 12 bags, 5 of which are bbq
P ( bbq) = number of bbq/ total
= 5/12
Find the square root of 2601 by prime factorization (USE MULTIPLICATION METHOD TO SOLVE THE ABOVE QUESTION)
Answers
2601|3
867|3
289|17
17|17
1
[tex]\sqrt{2601}=\sqrt{3^2\cdot17^2}=3\cdot17=51[/tex]
Matthew has 170 tiles he can use for this project. Identify the largest patio design that he can make. Show or explain your reasoning.
Answers
Answer:
Design 12Step-by-step explanation:
See the attached for missing part of the questionAs we see each design comprises of entrance and exit - each one tile and:
Design 1 has 1 row and 3 columns,Design 2 has 2 rows and 4 columns,Design 3 has 3 rows and 5 columns.So design x has x rows and two more columns according the pattern we observe.
The number of tiles of design x is:
x by (x + 2) and 2 more tilesWe can put it as equation to get 170 tiles and solve for x:
x(x+2) + 2 = 170x² + 2x - 168 = 0x² - 12x + 14x - 168 = 0x(x - 12) + 14(x - 12) = 0(x + 14)(x - 12) = 0x = - 14 (discarded as negative root)x = 12 (the solution)So this is a design 12
It has 12 rows, 14 columns, 1 entrance and 1 exit tiles, the total number is
12*14 + 2 = 170 tilessolve the following: - 3 raised to 1 by 5 the whole raised to 4 (3^1/5)^4
Answers
Answer:
8.30256
Step-by-step explanation:
Step 1: Write out expression
[tex]((-3)^{\frac{1}{5} })^{4(3^{\frac{1}{5} })^4[/tex]
Step 2: Use BPEMDAS to evaluate
[tex](-1.24573)^{4(3^{\frac{1}{5} })^4[/tex]
[tex](-1.24573)^{4(1.24573)^4[/tex]
[tex](-1.24573)^{4(2.40822)[/tex]
[tex](-1.24573)^{9.6329}[/tex]
= 8.30256
And we have our answer!
A ship sails 95 km on a bearing of 140 degrees,than further on 102km on a bearing of 260degrees,and than returns directly to its starting point.Find the length and bearing of the return journey
Answers
Answer:
1. 98.7 km
2. 303.5 degree
Step-by-step explanation:
Using the alternate angle, the angle at B will be 50 + 10 = 60 degree.
To calculate the length AC of the returning journey, use cosine formula to calculate it.
To find the bearing of the returning journey, use sine rule to calculate it.
Please find the attached file for the solution
On the first two downs, a football team lost a yard and then lost 2 yards.
Write an expression with addition that shows the changes in yards on
the first two downs.
Answers
First they lost 1 yard which would be written as -1
Next they let 2 yards which is written as -2
Now add them together: -1 + -2 = -3
Will Give Brainliest, answer ASAP x=
y=
Answers
Answer:
x = 21.25 , y = 5
Step-by-step explanation:
In a parallelogram
Consecutive angles are supplementary
Opposite angles are congruent, thus
125 + 4x - 30 = 180
4x + 95 = 180 ( subtract 95 from both sides )
4x = 85 ( divide both sides by 4 )
x = 21.25
8y² = 125 ( divide both sides by 5 )
y² = 25 ( take the square root of both sides )
y = [tex]\sqrt{25}[/tex] = 5
The pair of figures is similar. Find x. Round to the nearest tenth if necessary.
Answers
Answer:
x ≈ 4.125 ft
Step-by-step explanation:
Since the figures are similar then the ratios of corresponding sides are equal, that is
[tex]\frac{11}{x}[/tex] = [tex]\frac{8}{3}[/tex] ( cross- multiply )
8x = 33 ( divide both sides by 8 )
x = 4.125 ft
There are 55 students in mr.fishers p.e class. There are 30 6th graders and 25 7th graders in the class. What is the ratio of 6th graders to 7th graders in nr.fishers class
Answers
Answer:
6:5
Step-by-step explanation:
It's 6:5 trust homie
Find the area of a sector with a central angle of 120° and a diameter of 7.3 cm. Round to the nearest tenth.
Answers
Answer:[tex]14cm^{2}[/tex]
Step-by-step explanation:
diameter=7.3cm
radius=[tex]\frac{diameter}{2}[/tex]
=[tex]\frac{7.3}{2}[/tex]
=3.65cm
angle =120°
area=[tex]\frac{angle (tita)}{360}[/tex] × [tex]\frac{\pi r^{2} }{1}[/tex]
=[tex]\frac{120}{360}[/tex] × [tex]\frac{22}{7}[/tex] ×[tex]3.65^{2}[/tex]
=[tex]13.95cm^{2}[/tex]
≅[tex]14cm^{2}[/tex]
Use the function below to find F(-4).
F(x) = 2^x
Answers
Answer:
Step-by-step explanation:
F(x)=2^x
[tex]F(-2)=2^{-2} =\frac{1}{2^2} =\frac{1}{4}[/tex]
25 points please help me
Answers
Answer:
I can help you with C and I tis non-linear because to make it linear it needs to be a straight line and shouldn't have any curves.
Step-by-step explanation:
is 7.2 a repeating or terminating decimal
Answers
Answer: terminating
Step-by-step explanation:
Answer:
7.2 is a terminating decimal.
Step-by-step explanation:
Terminating decimals are decimals that have an end point. The decimal does not continue to go on and on with numbers but, it stops at one number which makes it terminating.
Repeating decimals are decimals that go on and on with the same number or same patterns of numbers.
So, since 7.2 has an endpoint, then it is a terminating decimal.
Choose the correct simplification of the expression −5x2(4x − 6x2 − 3)
Answers
Answer:
- 190
Step-by-step explanation:
-10x (4x - 12 - 3)
-40x - 120x - 30x
- 190
Answer:
-20x³ + 30x^4 + 15x²
Step-by-step explanation:
−5x²(4x − 6x² − 3)
-20x³ + 30x^4 + 15x²
If x = -28 and y = -51, what is -(x + y) + (x - y)?
Answers
Answer:
102
Step-by-step explanation:
-(x + y) + (x - y) = ⇒ opening parenthesis-x - y + x - y = ⇒ simplifying, x gets cancelled-2y = ⇒ replacing y with -51-2* (-51) =102 ⇒ answerFind all solutions to the equation
in the interval [0, 21). Enter the
solutions in increasing order.
Answers
Answer:
0,1,2,3,4,5,6.......19,20
Step-by-step explanation:
in this interval 0 is included and 21 is not included. So starting from 0 up to 20, all are the solutions
Please help!!!!!!!!!!!!!!!!
Answers
Answer:
TRUE
Step-by-step explanation:
The answer is TRUE.
what dose a point represents: a) line segment b) a location c) intersection of a plane d) none of the above
Answers
Answer:
(B) A location
Step-by-step explanation:
If you have a point on a graph or number line, it always represents a certain location on the graph.
For instance, if we have a point on the x=3 line and the y=4 line, the point would represent the location (3,4).
Hope this helped!
which of the following is the product of the rational expressions still here?
Answers
Answer:
B
Step-by-step explanation:
(x/(x-2))*(3/(x-2))=3x/(x-2)^2=3x/(x^2-4x+4)
Find the coordinate of J' after a reflection of the triangle about the y-axis. Write your answer in the form (a,b)
Answers
Answer:
A (3,3)
J (5,2)
L (0,0)
Step-by-step explanation:
.........................