Answer:
∠ C = ∠BCD = 30°
Step-by-step explanation:
∠ EDF = ∠GFC = 110° [ corresponding angles ]
Now consider triangle BCF
∠FBC + ∠ABC = 180° [ straight line angle ]
∠FBC + 100° = 180°
∠FBC = 180 - 100 = 80°
∠BFC + ∠GFC = 180° [ straight line angle ]
∠BFC + 110° = 180°
∠BFC = 180 - 110 = 70°
Sum of angles of triangle is 180°
Therefore , in triangle BCF
That is ,
∠F + ∠B + ∠ C = 180°
70° + 80° + ∠C = 180°
∠C = 180 - 150 = 30°
HELP PLEASEEEEE!!!!!!
If that answer doesn't work, then try 29 without the percent sign.
============================================================
Explanation:
We know with absolute certainty that the person ordered a hot drink, due to the "given".
This means we only focus on the values in the first row.
There are 5+48+22 = 75 hot drinks ordered. Of that total, 22 hot drinks are large.
The probability of getting a large drink, given it was a hot beverage, is 22/75 = 0.2933 approximately.
This converts to 29.33% and that rounds to 29%
Nina has 465 pennies in a jar. Daryl has 348 pennies in a jar. How many pennies do they have in all?
Answer:
813
Step-by-step explanation:
you add them together
Quadrilateral qrst is a square what is pst
if QRST is indeed a quadrilateral, then, Check the picture below.
What method would I use? I am confused on how to solve it. [tex]9k^2+3=-20[/tex]
The point (3,-7) lies on a circle and the center of the circle is at (-2,-7). What is the equation of this circle
Step-by-step explanation:
the answer is in the above image
Pls Solve
2/5 × (-3/7) - 1/6 × 3/2 +1/14 × 2/5
Answer:
-11/28
Step-by-step explanation:
Following BODMAS:
(2/5 * -3/7) - (1/6 * 3/2) + (1/14 * 2/5)
= (-6/35) - (1/4) + (1/35)
= 1/35 - 6/35 - 1/4
= -5/35 -1/4
= -55/140
= -11/28
Please help...redoing past papers so I need to cross-check with someone to see if they are correct
Answer:
4 < k < 12
Step-by-step explanation:
The given function is y = 2·x² + k·x + 2·k - 6
Where the curve lies above the x-axis for all values of x, the function does not have a root and the discriminant, Δ, is negative, to give complex roots
∴ The discriminant Δ = k² - 4·2·(2·k - 6) < 0
k² - 4·2·(2·k - 6) = k² - 16·k + 48 < 0
(k - 12)·(k - 4) < 0
∴ k < 12 or k > 4 given that by substitution, we have;
When k = 3 < 4
k² - 16·k + 48 = 3² - 16×3 + 48 = 9 > 0
Also the product of two negative numbers is larger than 0
Therefore, the set of values of k for which the curve lies above the x-axis for all values of x is 4 < k < 12
if point (4,5) is on the graph of a function, which equation must be true?
I honestly am so confused right now , pleas help
Answer:
never really liked accounting, but...
The Assets seem to total $33000
and the Liabilities also seem to add to $33000
that seems to be what is supposed to happen in an accounting problem
Step-by-step explanation:
12
Peter was thinking of a number. Peter halves the number and gets an answer of 25.5. Form an
equation with x from the information,
Answer:
[tex]\dfrac{x}{2}=25.5[/tex]
Step-by-step explanation:
Let the number be x.
Peter halves the number and gets an answer of 25.5.
It means,
Half of x equals 25.5. So,
[tex]\dfrac{1}{2}x=25.5[/tex]
or
[tex]\dfrac{x}{2}=25.5[/tex]
Hence, the required equation is [tex]\dfrac{x}{2}=25.5[/tex].
Sarah buys a car for £23,000.
It depreciates at a rate of 3% per year.
How many years will it take to be worth less than £20,000?
Answer:
4.61 years
Step-by-step explanation:
hope it helped!
what is 2+a, when a is 17?
Answer:
19
Step-by-step explanation:
If a=17, then:
2 + 17 = 19
---------------------------------------------------------------------------------------------------------------
Have a great summer :)
Question 1 of 5
Which data set has a variation, or mean absolute deviation, similar to the data
set in the given dot plot?
Answer:
It is A because it is pretty similar to the data set in the given dot plot.
In the matrix below, what is the value of f32?
2
21
9
1
0
5
T-
16
8
4
0
32
7
Answer:
ans: 8
Step-by-step explanation:
t3×2 mean see the term in 3rd row and second column,
The value of the f 32 in the given matrix is 8.
What is matrix?A matrix is a rectangular array or table of numbers, symbols, or expressions, arranged in rows and columns, which is used to represent a mathematical object or a property of such an object.
For example, is a matrix with two rows and three columns.
Given is a matrix of order 3x4, we need to find the object in f 32,
So, f 32
This means the entry in Row 3 Column 2
From the matrix we can see that f 32 = 8
Hence, the value of the f 32 in the given matrix is 8.
Learn more about matrix, click;
https://brainly.com/question/28180105
#SPJ7
Using the equality of surds theorem, solve this question
In the question solve for a and b
Step-by-step explanation:
76.72135955 is the answer I think So if the answer is correct then plz mark me as brainliest
Please help me. I am so confused right now and I need to turn this in asap.
Answer:
sorry only doing the ones im sure of
a)
FBC is half the circle, so the angle would = 180.
180 - 135 = 45, so thats the angle between BC
its a vertical angle, so it would be the same on the other side, between FE
the only angle left is betweeen DC, so add them all up and minus by 360
360 - 306 = 54
b)
a triangle's angles add up to 180, so
49 + 70 = 119
180 - 119 = 61
since this is an inscribed angle that isnt connected to the center, the arc will be double the angle
so ? = 122
d)
5(8) = 40
40/4 = 10
x = 10
f)
the rest of the circle is 243 bc 360-117=243
243 - 177 = 126
126/2 = 63
please help me points and brainliest
Answer:
1/2
D
Step-by-step explanation:
slope = [tex]\frac{rise}{run}[/tex] = [tex]\frac{2}{4}[/tex] = [tex]\frac{1}{2}[/tex]
[tex]\frac{2}{4}[/tex] = [tex]\frac{3}{6}[/tex] Same ratio. Both reduce to [tex]\frac{1}{2}[/tex]
if (P-3) is the largest of for odd number then the smallest is
A p-11
B p-9
C. p+3
D. p+5
ensalada no son vulgares
What is the image of (3,-5) after a dilation by a scale factor of 55 centered at the origin?
Answer:
7.789
Step-by-step explanation:
i got it right and
Change to vertex form
1) f(x) = x² - 4x + 4
2) f(x) = -x ² + 8x-16
3) f(x) = 2x ²-x+3
4)f(x)=2x ²-3x-1
Answer:
- y = 7 is a line which is-(A) Parallel to y-axis (B) Parallel to x-axis (C) Passing through (7, 7) (D) Passing through origin
How do you write 6.6 x 10-5 in standard form?
Answer:
.000066
Step-by-step explanation:
move decimal places five places to the left
Calixto travels by train to a meeting in Barcelona. Barcelona is 270 km from where he lives.He catches the train at 9:45 a.m. The traintravels at anaverage speed of 120 km/hr.What time will the train arrive in Barcelona?
What time will the train arrive in Barcelona?
Answer: 12:00 pm or 1200hrs
Step-by-step explanation:
Time = distance/speed
270/120 = 2h 15min
= 2h 15min
Which ordered pairs make both inequalities true? Select two options. y < 5x + 2 y > One-halfx + 1 On a coordinate plane, 2 straight lines are shown. The first solid line has a positive slope and goes through (negative 2, 0) and (0, 1). Everything above the line is shaded. The second dashed line has a positive slope and goes through (negative 1, negative 3) and (0, 2). Everything to the right of the line is shaded. (–1, 3) (0, 2) (1, 2) (2, –1) (2, 2)
Answer:
(1, 2)
(2,2)
Step-by-step explanation:
The inequality Given :
y < 5x + 2
y ≥ One-halfx + 1
We can use the values in the options to see which satisfies the inequality :
(-1, 3) ; X = - 1, y = 3
3 < 5(-1) + 2 ; 3 < - 4 (not true)
(0, 2) ; X = 0 ; y = 2
2 < 5(0) + 2 ; 2 < 2 (nor true)
2 > 1/2(0) + 1
2 > 1 (true)
Using (1, 2).; x = 1 ; y = 2
2 < 5(1) + 2 ; 2 < 7 (true)
2 > 1/2(1) + 1 ; 2 > 1.5 (true)
Using (2, 2)
y < 5x + 2
2 < 10 + 2 ; 2 < 12 (true)
y > 1/2x + 1
2 > 1/2(2) + 1 ; 2
Find the mean, median and mode(s) of the data.
4, 6, 5, 4, 4, 5, 4,8
Mean
Median
Mode
Answer:
mean = 5
median = 4.5
mode = 4
Step-by-step explanation:
Mean :
n = 8
sum of all items = 4+6+5+4+4+5+4+8
= 10+9+9+12
= 19+ 21
= 40
so,
mean = sum of all items/ n
= 40/8
= 5
mean = 5
Median:
ascending order: 4,4,4,4,5,5,6,8
n = 8
md = (n+1)/2 the term
= (8+1)/2 th term
= 9/2 th term
= 4.5 th term
= (4th + 5th) / 2
= (4+5)/2
= 9/2
= 4.5
median = 4.5
x. f.
4. 4
5. 2
6. 1
8. 1
here the highest frequency is 4 and 4 is corresponding to 4
so, mode = 4
There are only red counters, blue counters and purple counters in a bag.
The ratio of the number of red counters to the number of blue counters is 3 : 17
Sam takes at random a counter from the bag.
The probability that the
counter is purple is 0.2
Work out the probability that Sam takes a red counter.
Answer:
0.15
Step-by-step explanation:
R:B:P
3:17:4
20x0.2=4
0.2/4=0.05
P(R)= 0.05x3
P(R)=0.15
find the area of a circle . diameter =30cm . suction
Area of Circle = pi * r* r
Diameter = 2* r
Radius = 30/2 = 15 cm
pi = 3.14
Area of circle = 3.14 * 15 *15 = 707.14 cm ^2
The circumference of a circle is 19π in. What is the area, in square inches? Express your answer in terms of π.
Answer:
A = 90.25 pi in^2
Step-by-step explanation:
The circumference is given by
C = 2*pi*r
19pi = 2*pi*r
Divide each side by 2 pi
19pi / 2 pi = 2*pi*r/ 2pi
9.5 = r
The area is given by
A = pi r^2
A = pi ( 9.5)^2
A = 90.25 pi in^2
Answer:
The area of circle is 90.25 π inches².
Step-by-step explanation:
Given :-
Circumference of circle is 19 π in.
To Find :-
Area of circle
Solution :-
Firstly, we need to find radius of circle
Using formula
Circumference of circle = 2 π r
substitute the value
19 π inches = 2 π r
Divide each side by 2 π
19 π inches / 2 π = 2 π r / 2 π
9.5 inches = r
Now, Finding the area of circle
Using formula
Area of circle = π × r²
Where,
r, radius of circle = 9.5 inchesSubstitute the values
Area of circle = π × ( 9.5 inches)²
Evaluate the exponent
Area of circle = π × 90.25 inches ²
multiply ,we get
Area of circle = 90.25 inches²
Hence, the area of circle is 90.25 π inches².
Victor also saw a jacket he liked while he was shopping. The jacket has a price tag of $75.00 and was marked for 30% off. How much money will the jacket cost after the sale?
Respuesta:
$ 52.5
Explicación paso a paso:
Dado
Costo de la chaqueta = $ 75
Mark off = 30%
Descuento = 30% de $ 75
Precio de descuento = 0,3 * 75
Precio de descuento = $ 22.5
Costo después de la venta = $ 75 - $ 22.5
Costo después de la venta = $ 52.5
Por lo tanto, el costo después de la venta es de $ 52.5
It is given the quadratic equation (q + 1 )x² - 8x + p = 0,where p and q are constants,has two equal real roots.Express p in terms of q.
Do help meeee!!!
i'll mark u as the brainliest!
Answer:
p = [tex]\frac{16}{q+1}[/tex]
Step-by-step explanation:
Since there are 2 equal roots then the value of the discriminant is zero, that is
b² - 4ac = 0
Given
(q + 1)x² - 8x + p = 0 ← in standard form
with a = q + 1, b = - 8, c = p , then
(- 8)² - 4p(q + 1) = 0
64 - 4p(q + 1) = 0 ( subtract 64 from both sides )
- 4p(q + 1) = - 64 ( divide both sides by - 4 )
p(q + 1) = 16 ( divide both sides by q + 1 )
p = [tex]\frac{16}{q+1}[/tex]
What is the value of S4 for HURRY PLEASE !!!
Answer:
5 [tex]\frac{1}{4}[/tex]
Step-by-step explanation:
The sum to n terms of a geometric sequence is
[tex]S_{n}[/tex] = [tex]\frac{a(1-r^{n}) }{1-r}[/tex]
where a is the first term and r the common ratio
The expression inside the summation is
4 [tex](\frac{1}{4}) ^{n-1}[/tex] ← the nth term of a geometric sequence
with a = 4 and r = [tex]\frac{1}{4}[/tex] , then
[tex]S_{4}[/tex] = [tex]\frac{4(1-(\frac{1}{4}) ^{3}) }{1-\frac{1}{4} }[/tex]
= [tex]\frac{4(1-\frac{1}{64}) }{\frac{3}{4} }[/tex]
= [tex]\frac{16}{3}[/tex] ( [tex]\frac{63}{64}[/tex] )
= [tex]\frac{21}{4}[/tex]
= 5 [tex]\frac{1}{4}[/tex]