Answers
Answer:
x= 11°
Step-by-step explanation:
∠BAC= ∠ACD (alt. ∠s, AB//CD)
∠BAC= 33°
∠BAC +∠ABC= ∠BCE (ext. ∠s of triangle ABC)
33° +2x= 5x
5x -2x= 33°
3x= 33°
x= 33° ÷3
x= 11°
_____
Alternatively,
∠ACB= 180° -5x (adj. ∠s on a str. line)
∠BCD +∠ABC= 180° (int. ∠s, AB//CD)
∠ACB +∠ACD +2x= 180°
180° -5x +33° +2x= 180°
Minus 180° on both sides:
-5x +2x +33°= 0
5x -2x= 33°
3x= 33°
x= 11°
Related Questions
After eating 75% of the chocolates in a box, Dev found 6 chocolates remaining. How many chocolates were there in the box originally?
Answers
Answer:
24
Step-by-step explanation:
Let total number of the chocolates be x.
25% of x = 6 (because 100 - 75 = 25% of chocolates left).
25/100 x x = 6
x = 600/25
x = 24
Hence, 24 is the total amount of chocolates.
Hope it helps :)
What is 5+5 ..................................................
Answers
Answer:
10
Step-by-step explanation:
5+5=10
each hand has five fingers so if you count all of the fingers on both hands, you will get 10
A student concludes that the solution to the equation ( 2×+1+3=0 is×=4
Answers
Answer:
x = -2
Step-by-step explanation:
2x + 1 + 3 = 0
2x + 4 = 0
x = -2
(a) The perimeter of a rectangular garden is 320 m.
If the width of the garden is 74 m, what is its length?
(b) The area of a rectangular window is 5723 cm?
If the length of the window is 97 cm, what is its width?
Width of the window: cm what is the width
Answers
Answer:
86 m, 59 cm
Step-by-step explanation:
a. perimeter is 2L + 2W
320 = 2L + 2(74)
320 = 2L + 148
172 = 2L
86 m is length
b. area = L x w
5723 = 97 x w
5723/97 = 2
59 cm is width
Luis wants to but a skateboard that usually sell for $79.64. All merchandise is discounted by 12%
Answers
Answer:
$79.64
Step-by-step explanation:
I think it's still 79.64
Answer:
it will be equal 70.08 $
Through what angle does the minute hand of a clock turn in 45 minutes?
Answers
Answer:
2700Step-by-step explanation:
A clock is a circle, and a circle always contains 360 degrees. Since there are 60 minutes on a clock, each minute mark is 6 degrees.
so
45 * 6 =
2700
Help me please I would really apparated it thanks.
Answers
answer both pls help fast
Answers
Answer:
Answers given in the photo
Isaac bought 7 chicken wings for $12.60. How much does each wing cost?
Answers
Answer:
Each chicken wing costs $1.80.
Explanation:
To find the cost for each wings, you need to split the money by 7 which is: 12.60/ 7
this gives us:
1.80
write 321.51 to the nearest whole
Answers
Answer:
322.
Hope that helped. x
Step-by-step explanation:
We have 321.51,
So what we need to do is check the number straight after the decimal point and see if it is less than 5 or 5 and above. (5 and above mean increasing the number, less than 5 means decreasing the number.)
Since the number is 5 we change the 1 to a 2. So the answer is 322.
PLLLZZZ NO ONE WILL HELP ME!!!
Given this equation in slope-intercept form…
y = 2x + 5
Identify or solve for the following:
Slope
y-intercept
x-intercept
Independent variable
Dependent variable
Domain
Range
We would like to represent a line passing through the point (5,0) with a slope of 2. Please write the equation for this line in slope-intercept form and in point-slope form.
What is the rate of change of the function above?
Answers
Answer:
y = m x + b standard form of straight line
y = 2 x + 5
The slope is m and = 2
the y intercept is 5 because when x = o y = 5
if y = 0 then x = -2/5 and would be the x intercept
x is the independent variable and y is the dependent variable
I am not familiar with your definitions for domain and range but
both x and y can vary from -∝ to = ∝
Choose the symbol that correctly compares the fractions below.
Answers
Answer:
[tex] \frac{2}{5} > \frac{1}{6} [/tex]
Answer: B. >
#CarryOnLearning
Determine the slope from the given graph below:
The slope is 4
The slope is -4
The slope is−14
The slope is -2
Answers
Answer:
-4
Step-by-step explanation:
rise over run
rise being y axis
run being x axis
in this case y intercept is 4 and x intercept is1
The table shows a linear relationship between x and y. how can you tell that x and y are NOT porportianal
Answers
A line with a slope of 3 passes through the point (0, -10). What is its equation in
slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
Answers
[tex](\stackrel{x_1}{0}~,~\stackrel{y_1}{-10})\qquad \qquad \stackrel{slope}{m}\implies 3 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-10)}=\stackrel{m}{3}(x-\stackrel{x_1}{0}) \\\\\\ y+10=3x\implies \stackrel{\textit{slope-intercept form}}{y=3x-10}[/tex]
3. Chris rode his bike along the same route every day for 60 days. He logged that he had gone exactly 127.8 miles.How many miles did he bike over the course of two weeks
Answers
Step-by-step explanation:
2wks = 24 days
If he spent 60days going 127.8 miles
He will spend 14 days going X miles
60/14 =127.8/X cross multiply
60X= 14×127.8
X=( 14×127.8)÷60
X= 29.82 miles
Adelle starts a savings account with $250. If the interest rate is 3%, find the total amount in the account after 2 years.
Answers
Answer:
265
Step-by-step explanation:
find the value of 7u+7 given that -3u-5=4
Answers
I will mark as brainliest if answer is correct.
Which ordered pair is a solution to the system of inequalities?
y≥2x-1
y<4x
A. (2,6)
B. (3,2)
C. (3,4)
D. (2,8)
Answers
#10) Mrs. Sommer states that angle I is 65 degrees. Is she correct? why or why not
Answers
Answer: Mrs. Somner is correct.
Step-by-step explanation: In a triangle, the angles add up to 180 degrees. Since we know that Triangle ABC is equal to Triangle RST, we can assume that their angle values are equal as well. Angle A is 41 degrees, and Angle B is 74 degrees. This adds up to 115 degrees. If we subtract 115 from 180, we get 65. Therefore, Mrs. Somner is correct.
What’s a rational number between -1/6 and 1/9
Answers
Answer:
LCM of 6 and 9 are 18
1/6 = 1×3/6×3
= 3/18
= 3×10/18×10
= 30/180
1/9 = 1×2/9×2
= 2/18
=2×10/18×10
= 20/180
therefore rational no.s between 1/6 & 1/9 are
21/180,22/180,23/180,24/180,25/180,26/180,27/180,28/180,29/180
Step-by-step explanation:
sorry if im wrong
Answer:
1/18.
Step-by-step explanation:
-1/6 = -3/18 and 1/9 = 2/18
so one rational number between these values is 1/18.
50 POINTS
What is the slope-intercept form of the linear equation 2x + 3y = 6? Drag and drop the appropriate number, symbol, or variable to each box.
Answers
3y = -2x + 6
Dividing through by 3 gives us
y = -2x/3 + 2
A B C or D? please help
Answers
Answer:
(x-1) and (x-5)
Step-by-step explanation:
option a .......
To check out a customer, a grocery store cashier needs 2 seconds to scan each item being purchased, as well as 30 seconds to process payment. If it takes 44 seconds to ring up a particular customer, how many items is the customer purchasing?
Answers
Answer:
7
Step-by-step explanation:
Let's say the customer has x items. For each item, we add 2 seconds. For 3 items, we need 2 + 2 + 2 = 2*3 seconds. For x items, we need 2 * x seconds. Then, we add the processing payment time of 30 seconds, so for x items, the total amount of time = 30 + 2 * x
Here, the total amount of time is 44, so we have
44 = 30 + 2x
subtract 30 from both sides to isolate the variable and its coefficient
14 = 2x
divide both sides by 2 to isolate x
x = 7
What is Jada‘s vertical jump
Answers
It's probably 52 or 40.
Justin is making cookies, using a recipe in which the ratio
of flour to chocolate chips to sugar is 4: 2: 1 for each
batch.
a. If he is using 8 cups of flour how many cups of sugar
does he need?
b. To make 3 batches of cookies, what is the ratio of flour
to chocolate chips to sugar?
Answers
Answer:
Part A - he will need 2 cups of sugar
Part B - 12 : 6 : 3
Step-by-step explanation:
Part A :
8 divided by 4 is 2
Part B :
Multiply all the numbers by 3
Hope this helped! :)
Solve each inequality 3+1/2(3-x)<_7
Answers
Answer:
x > 5
Step-by-step explanation:
multiply the fractions, break up the fraction, group like terms, convert integer into a fraction, combine the fraction, combine the numerator, etc. hope this helps.
f(x)=5x+4, g(x) square root of x find the domain of gof
Answers
If you do not include the imaginary plane, the square root can only take in values bigger than or equal to zero. So we just need to fix when 5x+4=0. That is when x=-4/5. So, the domain is [-4/5,inf)
Over the course of 12 hours the temperature changes a tour of -16°C what is the average change in temperature in one hour
Answers
Answer:
- 1 1/3 degree
Step-by-step explanation:
- 16 / 12
Joshua cashed a check for $16.79he asked the teller to give him as many quarters as possible .how many quarters did he get
Answers
Answer:
67 quarters
Explanation: