Answers
Answer:
x = 10 and y = 15
Step-by-step explanation:
The arrows on lines AB and CD indicate that they are parallel. This means that we have to look for Z-angles (I don't know if they are called the same where you're from but I hope you recognise the term). This means that ∠ABC = ∠BCD
5x - 20° = x + 20°
4x = 40°
x = 10°, which gives us the first answer.
The angle formed by points ACE (a straight line) is 180 degrees. Lets refer to this as angle ACE. We also know this angle consists of angle ACB, BCD and DCE. This gives us the following equation:
angle ACE = angle ACB + x + 20° + y + 20° = 180°
angle ACB + x + y + 40° = 180°
angle ACB = -x - y + 140°
Inserting the x we found earlier this gives
∠ACB = - y + 130°
Now we can find a second equation to describe ACB by looking at the triangle it is inside. The angles in a triangle always add up to 180°, giving the following expression:
4y - 25° + 5x - 20° + ∠ACB = 180°
Substituting x again gives
4y - 25° + 50° - 20° + ACB = 180°
ACB = 180 - 4y - 5° = 175° -4y
Combining the two expressions for ACB gives the final equation to solve:
175° - 4y = -y + 130°
-3y = -45
y = 15
If you have any questions still feel free to reach out!
Related Questions
Here it is help me pls
Answers
Answer:
(- ∞ , 3) u (7 , ∞ )
Step-by-step explanation:
f(x) is negative below the x- axis
This is int the intervals x < 3 , x > 7
domain is (- ∞ , 3 ) u (7, ∞ )
Two competing gyms each offer childcare while parents work out. Gym A charges $9.00 per hour of childcare. Gym B charges $0.75 per 5 minutes of childcare. Which comparison of the childcare costs is accurate
Answers
Answer:
11000 JY.
Step-by-step explanation:
According to today's exchange rate
1 US dollar = 110 JY
100 US dollars = 100 * 110 JY
You should get 11000 JY.
Pick the answer that is closest to this exchange rate.
Answer:
Gym B and Gym A charge the same hourly rate for childcare.
The number of writing instruments in some teachers' desks is displayed in the dot plot. Which is greater the mean or the median? Explain your reasoning using the shape of the distribution.
please help..
30 points
Answers
The median is greater than the mean. From the shape of the distribution, the data set has more values on the left, so we can say it is skewed to the left. In every distribution that is skewed to the left, the median is always greater than the mean.
In the given chart we can deduce the following;
number of instruments that is 5 = 1number of instruments that is 6 = 1number of instruments that is 7 = 1number of instruments that is 8 = 1number of instruments that is 9 = 3number of instruments that is 10 = 4number of instruments that is 11 = 2number of instruments that is 12 = 1These numbers can be listed as follows;
5, 6, 7, 8, 9, 9, 9, 10, 10, 10, 10, 11, 11, 12
The median of these numbers is calculated as;
[tex]median = \frac{9+ 10}{2} = 9.5[/tex]
The mean of these numbers is calculated as;
[tex]mean = \frac{5+6+7+8+9+9+9+10+10+10+10+11+11+12}{14} = 9.07[/tex]
Thus, the median is greater than the mean.
Also, from the shape of the distribution, the data set has more values on the left, so we can say it is skewed to the left. In every distribution that is skewed to the left, the median is always greater than the mean. But if the distribution is skewed to the right, the mean is always greater than the median.
Learn more here: https://brainly.com/question/24055593
bailey has a 72 oz water bottle that is 3/8 full, stacie has a 60 oz water bottle that is 3/5 full, tamara has a 48 oz water bottle that is 3/4 full. Who has the most water in their bottle?
Answers
Step-by-step explanation:
Bailey has 27 oz
stacie has 36 oz
tamara has 36 oz
tamara and stacie have the most water in their bottles
The spinner below shows 10 equally sized slices. Lisa spun the dial 1000 times and got the following results.
Answers
Answer:
where are the results
Step-by-step explanation:
(2×)(ײ)+(2×)(×)+(2×)(-2)+(3)(ײ)+(3)(×)+(3)(-2) simplified
Answers
Answer:
2x^2 + 5x^2 - x - 6
the quotient of 8 and the cube of a number
Answers
Answer:
That's a variable expression?
I think is 8/x³
Elizabeth continued to save for her car down payment.
What was her balance A after she made another deposit?
O $995
O $985
O $975
O $855
Answers
Answer:
985
Step-by-step explanation:
they are asking what her balance was after her first deposit (A) so you only adding 65.00 to the original 920.00
What is 0.446 kilometer rounded to the nearest tenth?
Answers
Answer:
0.4 is your answer :3
Step-by-step explanation:
What geometric sequence comes after25, 625,3125
Answers
Answer:
34567 shhzhznznjshshznuzhs
Step-by-step explanation:
the rule 2x×300p
please help timed this time i actually added picture
which exponential function is represented by the values in the table?
Answers
When x = 0 the value of f(x) = 3
The correct answer is f(x) = 3(2^x). [the top option]
Is p(4p - 9) =12 or p(4p - 9) - 12 quadratic?
pls need help
From: Brainly.ph (philippines)
Answers
Answer:
p(4p - 9) =12 ⇒ 4p² - 9p = 12 ⇒ 4p² - 9p - 12 = 0
This is a quadratic equationp(4p - 9) - 12 ⇒ 4p² - 9p - 12
This is a quadratic expressionStep-by-step explanation:
p(4p-9)=124p²-9p=12Since, it's one term has power 2 ,so it is quadratic
p(4p-9)-124p²-9p-12Since, it's one term has power 2, so it is quadratic
What is the greatest common factor of 42 and 64
Answers
Answer part A and part B
Answers
Answer: Part A: a square pyramid Part B: 84 square feet
Step-by-step explanation:
Part A: The shape will have a base that is a square with triangles on each of its edges that connect at a point at the top.
Part B: The amount of nylon needed is the surface area of the net. There is a square and two triangles. The square has a side length of 6 so its area will be 6*6=36 square feet. Each triangle has a base of 6 and a height of 4 so each of their areas will be [tex]\frac{6*4}{2}=12[/tex] square feet. Adding up the area of the 4 triangles and the square gives us 4*12+36=84 square feet.
The endpoints of GH are G(-3,0) and G(7, -8) Find the coordinates of the midpoint M
Answers
Answer:
(2,-4)
Step-by-step explanation:
Please help! What is |x-3|=9
Answers
Answer:
x = 12 or x = -6
Step-by-step explanation:
Solve for x over the integers:
abs(x - 3) = 9
Split the equation into two possible cases:
x - 3 = 9 or x - 3 = -9
Add 3 to both sides:
x = 12 or x - 3 = -9
Add 3 to both sides:
Answer: x = 12 or x = -6
please helppppppppppp
Answers
Answer:
see explanation
Step-by-step explanation:
Substitute the given values of x into f : x → [tex]\frac{3}{7}[/tex] x + 4
x = - 14 → ([tex]\frac{3}{7}[/tex] × - 14) + 4 = (3 × - 2) + 4 = - 6 + 4 = - 2
x = 28 → ( [tex]\frac{3}{7}[/tex] × 28) + 4 = (3 × 4) + 4 = 12 + 4 = 16
x = [tex]\frac{7}{8}[/tex] → ([tex]\frac{3}{7}[/tex] × [tex]\frac{7}{8}[/tex] ) + 4 = [tex]\frac{3}{8}[/tex] + 4 = [tex]\frac{3}{8}[/tex] + [tex]\frac{32}{8}[/tex] = [tex]\frac{35}{8}[/tex]
x = - [tex]\frac{2}{9}[/tex] → ([tex]\frac{3}{7}[/tex] × - [tex]\frac{2}{9}[/tex] ) + 4 = ([tex]\frac{1}{7}[/tex] × - [tex]\frac{2}{3}[/tex]) + 4 = - [tex]\frac{2}{21}[/tex] + [tex]\frac{84}{21}[/tex] = [tex]\frac{82}{21}[/tex]
Answer:
See below in bold.
Step-by-step explanation:
1. 3/7 * -14 + 4
= -6 + 4
= -2.
2. 3/7 * 28 + 4
= 12 + 4
= 16.
3 3/7 * 7/8 + 4
= 3/8 + 4
= 35/8 or 4 3/8.
4. 3/7 * -2/9 + 4
= -6/63 + 4
= -2/21 + 4
= -82/21 or -3 19/21.
If a = 1, b = 3, c = 4, what is x? Use the formula x= c/ (b-a).
Answers
Answer:
Step-by-step explanation:
A=1,B=3,C=4
X= 4/(3-1)
X= 4/2
X=2
How many integers have absolute value equal to 3
Answers
Answer:
There are 2 integers, which absolute value are 3. -3 and 3 itself
Step-by-step explanation:
|-3| = 3 and |3| = 3 to
Answer:
2 integers at a time will be able to have the same absolute value. This is because integer can be both positive and negative, while absolute value always remains positive:
The absolute value of both 2 and (-2) is 2.
Jaxon swam 100 meters in 2 minutes 30 seconds. If each lap is 25 meters long which is most likely to be her time in seconds per lap
Answers
37.5 sec/lap
Step-by-step explanation:
2 m and 30 sec to sec equals 150 sec
each lap is 25 m
100 ÷ 25 = 4 laps
150 ÷ 4 = 37.5 sec per lap
A 100 ftladder leans against a building. When the angle of elevation of the ladder is 81 degrees, how high up the building will the ladder reach?
Answers
Answer:
I am not to sure but i think a.
Step-by-step explanation:
9. The sum, Sn, of the first n terms of a geometric progression is given by Sn = 3" - 1.
(a) the sum of the first 8 terms.
Answers
[tex]\boxed{\sf S_n=3^n-1}[/tex]
Now
[tex]\\ \sf\longmapsto S_8=3^8-1[/tex]
[tex]\\ \sf\longmapsto S_8=6561-1[/tex]
[tex]\\ \sf\longmapsto S_8=6560[/tex]
What is the area of the square?
24 mm
288 square millimeters
96 square millimeters
312 pi square millimeters
576 square millimeters
Answers
Answer:
576 mm²
Step-by-step explanation:
In a square all sides are equal, so area of square = s * s = s²
Area = 24 * 24
Area = 576 mm²
Explain why the relationship between the height of these objects and the length of their
shadows are approximately proportional.
Answers
a^2+b^2=c^2
Simplify the following expression:
2x − 8y + 3x2 + 7y − 12x
Question options:
3x2 − 14x − y
3x2 − 10x − y
3x2 − 10x − 15y
3x2 + 10x − y
Answers
Answer:
2nd option
Step-by-step explanation:
Given
2x - 8y + 3x² + 7y - 12x ← collect like terms
= 3x² + (2x - 12x) + (- 8y + 7y)
= 3x² + (- 10x) + (- y)
= 3x² - 10x - y
What is the average rate of change over the
interval [0.75, 1.125]? Explain the meaning
of the average rate of change.
Answers
Answer:
The average rte of change = 6
2) The average rate of change over an interval is the ratio of the total change in the determinate variable or function (values of the output of the function) to the change in the indeterminate variable (values of the input of the function)
Step-by-step explanation:
1) The average of change of the function is found as follows;
At x = 0.75, y = -0.5, at x = 1.125, y = 1.75
Therefore, the average rate of change = (1.75 - (-0.5))/(1.125 - 0.75) = 6
2) The average rate of change over an interval on a graph or of a curve is found by dividing the difference between the y-coordinate values of the two points on the graph by the difference of the x-coordinate values of the two points.
Step-by-step explanation:
plz help me!!!!!!!!!!
Answers
e) 50, 130
f) 135, 15
Write an equation of the line passing through point P that is perpendicular to the given line:
P(6, 0) y=4
Answers
Answer:
x=6
Step-by-step explanation:
Answer:
Step-by-step explanation:
This is one of those things that will drive you insane until you understand the answer.
Every y value is 4 no matter what x is.
The perpendicular will meet y = 4 at the point (6,4)
Answer: So the equation has to be x = 6.
The blue line is y = 4
The red line is x = 6
The point of intersection is marked.
What is the surface area of a cube that has a side length of 5 feet?
A. $25
B. $75
C. $125
D. $150
Answers
Answer:
D. 150
Step-by-step explanation:
A=6a^2=6·5^2=150
The length of a rectangle
is 4 meters less than twice the width.
If the area of the rectangle is 240 square meters,
The width is
meters.
The length IS
meters.
Answers
Answer:
length is 20 meters
width is 12 meters
Step-by-step explanation:
x = length
y = width
x = 2y - 4
x×y = 240
using the first equation as substitute in the second equation we get
(2y - 4)×y = 240
2y² - 4y - 240 = 0
the solution to such a quadratic equation is
x = (-b ± sqrt(b² - 4ac))/(2a)
here we are going for y instead of x, but it is the same principle.
a = 2
b = -4
c = -240
y = (4 ± sqrt(16 - 4×2×-240))/4 = (4 ± sqrt(16 + 1920))/4 =
= (4 ± sqrt(1936))/4 = (4 ± 44)/4 = (1 ± 11)
y1 = 1 + 11 = 12
y2 = 1 - 11 = -10
negative side lengths don't make any sense, so, y = 12 meters remains.
x = 2y - 4 = 2×12 - 4 = 24 - 4 = 20 meters
