Answers
Answer:
<1 = 67.4 , <2 = 104.5
Step-by-step explanation:
Exterior angle ≠ sum of two interior angle
Therefore:
121.8 = 17.3 + <2
121.8 - 17.3 = <2
104.5 = <2
<2 = <1 + 37.1
104.5 = <1 + 37.1
104.5 - 37.1 = <1
67.4 = <1
Related Questions
A triangle has two sides of length 19 and 18. What is the largest possible whole-number length for the third side? NO LINKS
Answers
Answer:
26.17
Step-by-step explanation:
a^2+b^2=c^2
write the equation for the function that has the shape of f(x)=x^3 but is moved three units to the left, seven units upward, and then reflected in the x-axis?
Answers
Answer:
The first transformation occurs when we add a constant d to the parent function \displaystyle f\left(x\right)={b}^{x}f(x)=b
x
, giving us a vertical shift d units in the same direction as the sign. For example, if we begin by graphing a parent function, \displaystyle f\left(x\right)={2}^{x}f(x)=2
x
, we can then graph two vertical shifts alongside it, using \displaystyle d=3d=3: the upward shift, \displaystyle g\left(x\right)={2}^{x}+3g(x)=2
x
+3 and the downward shift, \displaystyle h\left(x\right)={2}^{x}-3h(x)=2
x
−3. Both vertical shifts are shown in Figure 5.
Graph of three functions, g(x) = 2^x+3 in blue with an asymptote at y=3, f(x) = 2^x in orange with an asymptote at y=0, and h(x)=2^x-3 with an asymptote at y=-3. Note that each functions’ transformations are described in the text.
Figure 5
Observe the results of shifting \displaystyle f\left(x\right)={2}^{x}f(x)=2
x
vertically:
The domain, \displaystyle \left(-\infty ,\infty \right)(−∞,∞) remains unchanged.
When the function is shifted up 3 units to \displaystyle g\left(x\right)={2}^{x}+3g(x)=2
x
+3:
The y-intercept shifts up 3 units to \displaystyle \left(0,4\right)(0,4).
The asymptote shifts up 3 units to \displaystyle y=3y=3.
The range becomes \displaystyle \left(3,\infty \right)(3,∞).
When the function is shifted down 3 units to \displaystyle h\left(x\right)={2}^{x}-3h(x)=2
x
−3:
The y-intercept shifts down 3 units to \displaystyle \left(0,-2\right)(0,−2).
The asymptote also shifts down 3 units to \displaystyle y=-3y=−3.
The range becomes \displaystyle \left(-3,\infty \right)(−3,∞).
Graphing a Horizontal Shift
The next transformation occurs when we add a constant c to the input of the parent function \displaystyle f\left(x\right)={b}^{x}f(x)=b
x
, giving us a horizontal shift c units in the opposite direction of the sign. For example, if we begin by graphing the parent function \displaystyle f\left(x\right)={2}^{x}f(x)=2
x
, we can then graph two horizontal shifts alongside it, using \displaystyle c=3c=3: the shift left, \displaystyle g\left(x\right)={2}^{x+3}g(x)=2
x+3
, and the shift right, \displaystyle h\left(x\right)={2}^{x - 3}h(x)=2
x−3
. Both horizontal shifts are shown in Figure 6.
Graph of three functions, g(x) = 2^(x+3) in blue, f(x) = 2^x in orange, and h(x)=2^(x-3). Each functions’ asymptotes are at y=0Note that each functions’ transformations are described in the text.
Figure 6
Observe the results of shifting \displaystyle f\left(x\right)={2}^{x}f(x)=2
x
horizontally:
The domain, \displaystyle \left(-\infty ,\infty \right)(−∞,∞), remains unchanged.
The asymptote, \displaystyle y=0y=0, remains unchanged.
The y-intercept shifts such that:
When the function is shifted left 3 units to \displaystyle g\left(x\right)={2}^{x+3}g(x)=2
x+3
, the y-intercept becomes \displaystyle \left(0,8\right)(0,8). This is because \displaystyle {2}^{x+3}=\left(8\right){2}^{x}2
x+3
=(8)2
x
, so the initial value of the function is 8.
When the function is shifted right 3 units to \displaystyle h\left(x\right)={2}^{x - 3}h(x)=2
x−3
, the y-intercept becomes \displaystyle \left(0,\frac{1}{8}\right)(0,
8
1
). Again, see that \displaystyle {2}^{x - 3}=\left(\frac{1}{8}\right){2}^{x}2
x−3
=(
8
1
)2
x
, so the initial value of the function is \displaystyle \frac{1}{8}
8
1
.
A GENERAL NOTE: SHIFTS OF THE PARENT FUNCTION \DISPLAYSTYLE F\LEFT(X\RIGHT)={B}^{X}F(X)=B
X
For any constants c and d, the function \displaystyle f\left(x\right)={b}^{x+c}+df(x)=b
x+c
+d shifts the parent function \displaystyle f\left(x\right)={b}^{x}f(x)=b
x
vertically d units, in the same direction of the sign of d.
horizontally c units, in the opposite direction of the sign of c.
The y-intercept becomes \displaystyle \left(0,{b}^{c}+d\right)(0,b
c
+d).
The horizontal asymptote becomes y = d.
The range becomes \displaystyle \left(d,\infty \right)(d,∞).
The domain, \displaystyle \left(-\infty ,\infty \right)(−∞,∞), remains unchanged.
HOW TO: GIVEN AN EXPONENTIAL FUNCTION WITH THE FORM \DISPLAYSTYLE F\LEFT(X\RIGHT)={B}^{X+C}+DF(X)=B
X+C
+D, GRAPH THE TRANSLATION.
Draw the horizontal asymptote y = d.
Identify the shift as \displaystyle \left(-c,d\right)(−c,d). Shift the graph of \displaystyle f\left(x\right)={b}^{x}f(x)=b
x
left c units if c is positive, and right \displaystyle cc units if c is negative.
Shift the graph of \displaystyle f\left(x\right)={b}^{x}f(x)=b
x
up d units if d is positive, and down d units if d is negative.
State the domain, \displaystyle \left(-\infty ,\infty \right)(−∞,∞), the range, \displaystyle \left(d,\infty \right)(d,∞), and the horizontal asymptote \displaystyle y=dy=d.
Step-by-step explanation:
1. Jaymes is closing the register at the end of the day. He is in charge of counting all the
change. There are 129 coins counting only quarters and dimes. If Jason counts $27.00
in these coins, how many quarters(x) and dimes(y) are there?
Solve the system of equations to find the answer. x + y = 129.25x + .10y = $27.00
a. X = 100, y = 29
b. x = 70. y = 95
C. X = 94, y = 35
d. x = 150, y = 15 2.
2
The annual salaries of the employees working at the Island Resort are listed What is
Answers
Hey there!
Option answer: C
----------------------------------------------------------------
the sum of two consecutive odd numbers is 80 find the numbers
Answers
Answer: The two numbers are 39 and 41
==================================================
Work Shown:
x = some odd number
x+2 = next odd number
eg: x = 3 and x+2 = 3+2 = 5
Add up those two expressions, set the sum equal to 80, and solve for x
(x) + (x+2) = 80
2x+2 = 80
2(x+1) = 80
x+1 = 80/2
x+1 = 40
x = 40-1
x = 39
----------
Another way to solve is to do this
2x+2 = 80
2x = 80-2
2x = 78
x = 78/2
x = 39
-----------
Either way, the solution is x = 39 which means the next odd number up is x+2 = 39+2 = 41
To check the answer, add up the two values
39+41 = 80
This confirms we have the right answer.
Un contador determina que el ingreso mensual " I ", en pesos chilenos, que obtiene un relojero con experiencia, por la reparación de un número "x" de relojes, está dado por la función ingreso: I ( x ) = 20.000x - 50x2 ¿Cuál es el ingreso en pesos chilenos de fabricar 15 relojes ? * 1 punto $345.780 $288750 $475.580 Otro:
Answers
Responder:
$ 288750
Explicación paso a paso:
Dados los ingresos mensuales de los pesos chinos expresados como;
I (x) = 20.000x - 50x² donde;
x es el número de relojes reparados.
Para calcular los ingresos obtenidos si se reparan 15 relojes, simplemente sustituiremos x = 15 en la ecuación modelada como se muestra;
Yo (15) = 20.000 (15) - 50 (15) ²
Yo (15) = 300 000-50 (225)
Yo (15) = 300.000-11250
I (15) = $ 288,750
Kimberly is ordering bath towels and washcloths for the inn where she works. The total cost of the order is T=6b+2w, where T is the total cost, b is the number of bath towels, and w is the number of washcloths.. Her budget is $85. Describe the constraints.
She can order a maximum of washcloths or bath towels.
Answers
Given:
The total cost of the order is
[tex]T=6b+2w[/tex]
where, T is the total cost, b is the number of bath towels, and w is the number of wash cloths.
Her budget is $85.
To find:
The constraints, so that she can order a maximum of washcloths or bath towels.
Solution:
We have,
[tex]T=6b+2w[/tex]
Her budget is $85. So, total cost is less than or equal to 85.
[tex]6b+2w\leq 85[/tex] ...(i)
For maximum number of bath towels, the number of wash cloths is 0.
[tex]6b+2(0)\leq 85[/tex]
[tex]6b\leq 85[/tex]
Divide both sides by 6.
[tex]b\leq \dfrac{85}{6}[/tex]
[tex]b\leq 14.167[/tex]
For maximum number of wash cloths, the number of bath towels is 0.
[tex]6(0)+2w\leq 85[/tex]
[tex]2w\leq 85[/tex]
Divide both sides by 2.
[tex]w\leq \dfrac{85}{2}[/tex]
[tex]w\leq 42.5[/tex]
Therefore, the required constraints for maximum of washcloths or bath towels are [tex]w\leq 42.5[/tex] and [tex]b\leq 14.167[/tex] respectively.
Find the volume of a cube with area of 1532m2
Answers
Answer:
4080.01
Step-by-step explanation:
V = 6 A2/3/36 square rooted = 6 × 1532 2/3/36 square rooted = 4080.01042
solve using order of operations 6/5+8(5/8-3/5)^2
Answers
Answer:
Step-by-step explanation:
Find the exact value using trigonometric identities.
Exact Form:
241
200
Decimal Form:
1.205
Mixed Number Form:
1
41
200
Help I do not get this!!!
Answers
180-(60+80)= 180-140= 40 degrees
The top one on the right:
180-75 = 105+45= 150
180-150 = 30 degrees
The bottom left:
180-100= 80+65= 145
180-145 = 35 degrees
The bottom right:
90+35= 125
180-125= 55 degrees
Mrs. Lia deposited $4000 at Big Bank. If her money earned 4% simple interest annually. How much interest did she received at the end of 24 months?
Answers
Answer:
320$
Step-by-step explanation:
Since it's 4%
4000 * 0.04 = 160
24 months = 2 years
annually = 1 year
160 * 2 = 320$
Hope this helps!
Answer:
4000*0.04 = 160
24/12=2
160*2 = 320 interste receveid after 24 mounths
4000+320=4320
Step-by-step explanation:
HELP ASP!!!!!!
The explicit rule for a sequence and one of the specific terms is given. Find the position of the given
term.
f(n) = 1.25n +3.75; 20
20 is the
th term.
Answers
Answer:
the 13th term, if you plug in 13 for n and solve you would get 20 :)
Answer:
13th term
Step-by-step explanation:
One meaning of the word rigid is "not bendable", and another is "unable to be changed". How do those meanings correspond to the
definition of rigid motion?
Answers
Answer:
I wish I've known, but try using Symbo-Lab or Math-Way. They help a lot.
Step-by-step explanation:
3
Answer!
Joan bought a personal stereo for $59.95. The sales tax rate was 6%.
What was her after-tax total?
a. $63.60
b. $64.55
c. $69.95
d. $63.55
Answers
Answer:
[D] $63.55
Step-by-step explanation:
GIven;
Joan bought a personal stereo for $59.95.The sales tax rate was 6%.To FInd:
What was her after-tax total?
Note:
After-tax total = Include tax
Solve;
$59.95 × 6%=3.597
Round ⇒ 3.60
$59.95 + 3.60 = 63.55
Hence, Joan after-tax total is [D} $63.55
~Learn with Lenvy~
Need help on these problems
0>-2+b/7
v/14-2<_-3
13<_n/4+9
138>_-6+9n
-9+x/2>-14
-6>-9+k/4
-11>a/2-2
Answers
Solution (1):
[tex]0 > -2 + \dfrac{b}{7}[/tex]
[tex]0 + 2 > \dfrac{b}{7}[/tex]
[tex]2 > \dfrac{b}{7}[/tex]
[tex]2 \times 7 > b[/tex]
[tex]\boxed{\bold{14 > b}}[/tex]
Solution (2):
[tex]\dfrac{v}{14} - 2 < -3[/tex]
[tex]\dfrac{v}{14} < -3 + 2[/tex]
[tex]\dfrac{v}{14} < -1[/tex]
[tex]v < -1 \times 14[/tex]
[tex]\boxed{\bold{v < -14}}[/tex]
Solution (3):
[tex]13 < \dfrac{n}{4}+ 9[/tex]
[tex]13 - 9 < \dfrac{n}{4}[/tex]
[tex]4 < \dfrac{n}{4}[/tex]
[tex]4 \times 4 < n[/tex]
[tex]\boxed{\bold{16 < n}}[/tex]
Solution (4):
[tex]138 > -6+9n[/tex]
[tex]138 + 6 > 9n[/tex]
[tex]144 > 9n[/tex]
[tex]\dfrac{144 }{9} > \dfrac{9n}{9}[/tex]
[tex]\boxed{\bold{16 > n}}[/tex]
Solution (5):
[tex]-9 + \dfrac{x}{2} > -14[/tex]
[tex]\dfrac{x}{2} > -14 + 9[/tex]
[tex]\dfrac{x}{2} > -5[/tex]
[tex]x > -5 \times 2[/tex]
[tex]\boxed{\bold{x > -10}}[/tex]
Solution (6):
[tex]-6 > -9 + \dfrac{k}{4}[/tex]
[tex]-6 + 9 > \dfrac{k}{4}[/tex]
[tex]3 > \dfrac{k}{4}[/tex]
[tex]3 \times 4 > k[/tex]
[tex]\boxed{\bold{12 > k}}[/tex]
Solution (7):
[tex]-11 > \dfrac{a}{2} -2[/tex]
[tex]-11 + 2 > \dfrac{a}{2}[/tex]
[tex]9 > \dfrac{a}{2}[/tex]
[tex]-9 \times 2 > a[/tex]
[tex]\boxed{\bold{-18 > a}}[/tex]
please help me with this equation :(
Answers
Answer:
a = 9 + b - c → D
Step-by-step explanation:
To cancel the square root of one side of an equation square the two sides
Examples:
If [tex]\sqrt{x}[/tex] = 5, to find x square the two sides to cancel the square root
([tex]\sqrt{x}[/tex] )² = (5)², then x = 25
If [tex]\sqrt{a+b}[/tex] = 7, to find a + b square the two sides to cancel the square root
([tex]\sqrt{a+b}[/tex] )² = (7)², then a + b = 49
Now let us solve the question
To solve it for a square the two sides then keep a on the left side and move b, c to the other side
∵ [tex]\sqrt{a-b+c}[/tex] = 3
→ Square the two sides to cancel the square root
∴ ([tex]\sqrt{a-b+c}[/tex])² = (3)²
∴ a - b + c = 9
→ Add b to both sides to move b from the left side to the right side
∴ a - b + b + c = 9 + b
∴ a + c = 9 + b
→ Subtract c from both sides to move c from the left side to the right side
∴ a + c - c = 9 + b - c
∴ a = 9 + b - c
Can someone help me please
Answers
Mr Green: [tex]4(3a+1+2b) = 12a + 4 + 8b[/tex]
Mrs Green: [tex]6(5a-a)+4(2+4b)=6*4a + 8 + 16b = 24a +16b + 8[/tex]
Keith: [tex]4(2+4b+6a) = 8 + 16b + 24a=24a+16b + 8[/tex]
Kevin: [tex]4(6a+2)+8b + 2 = 24a + 8 + 8b + 2 = 24a + 8b + 10[/tex]
Thus Mrs Green and Keith has the expression that is equivalent to
'24a + 16b + 8'
Hope that helps!
What is the greatest common divisor of 22021 + 22022, 32021+ 32022 ?
Answers
Answer:
2 may be the greatest one.
Answer:
12
Step-by-step explanation:
12
Show work of Y=-5/2x-5
Find the slope
Answers
Answer:
-5/2
Step-by-step explanation:
Slope intercept form = y=mx+b
M=Slope
B=y-intercept
Answer:
-5/2 is the slope
Step-by-step explanation:
the form that it is currently in is slope intercept form
( y= mx+b ) m is the is the slope and x is a variable. -5 is the y intercept.
Show work if there is any please
Answers
Parallel means they can never touch/ intercept
Hope this helps!
Mrs. Mueller writes an inequality on the board. The table shows the responses of four students for possible values of x.
3/5x > 6
Student:
Jacob 6
Kendra 8
Luke 10
Maya 12
Which student has a correct response to Mrs. Mueller’s inequality?
Answers
The possible value of x from the inequality 3/5x > 6 is 10; Luke got it right
How to solve inequality3/5x > 6
divide both sides by 3/5x > 6 ÷ 3/5
x > 6 × 5/3
x > 30/3
x > 10
Generally in mathematics, inequality in mathematics is a statement which shows or describes orders of relationship between two values with regards to greater than, less than or equals to.
Therefore, the student which has a correct response to Mrs. Mueller’s inequality is Luke
Learn more about inequality:
https://brainly.com/question/11234618
Can someone help me on this question? I’ve been struggling on this for a while now. I’ll give brainliest if you answer soon!!!
A. What convinces you that the February 29 image is a reflection of the February 28 image about the given line of reflection?
B. What convinces you that the March 1 image is a reflection of the February 29 image about the given line of reflection?
C. What convinces you that the two reflections together complete a rotation between the February 28 and March 1 images?
Answers
Answer:
A. Line of reflection is a perpendicular bisector
B. 90 degree angles, equal lines
C. Pre-image an image are on the same circle.
Step-by-step explanation:
I hope this helped you in any way possible. :)
Given that
y
= 10 cm and
θ
= 55°, work out
x
rounded to 1 DP.
Answers
Answer:
x=8.2
Step-by-step explanation:
First, figure out which trig function you are going to use.
In this problem you are dealing with the opposite side to the angle and the hypotenuse, and if you remember SOH CAH TOA, this requires sine.
sin (55) =opposite/hypotenuse
sin (55) =x/10
multiply both sides by 10 to get 10 * sin (55) = x
10 * sin (55) = 8.2
Angle r and angel s are complementary angles if r=12x-3 and s= 7x-2, find m
Answers
Answer:
s=33
r=57
Step-by-step explanation:
12x-3+7x-2+90
19x-5=90
19x=95
x=5
12(5)-3=57
7(5)-2=33
Find an explicit rule for the nth term of the sequence.
-3, -15, -75, -375, ...
Answers
Answer:
a(n) = -3*5^(n-1)Step-by-step explanation:
Given sequence
-3, -15, -75, -375, ...This is a GP with
The first term = -3Common ratio = 5Formula for nth term is:
a(n) = -3*5^(n-1)13 divided by 7 is what in fraction form
Answers
Answer:
common fraction is written in the form of two whole numbers, one above the ... For example 3/7 would be 3 divided by 7 = 0.428 571 .
Explanation: Because 7 goes once in 13 and 6 remains. To check you multiple 1 by 7 = 7 then add 6 = 13 and all divide by 7. Then it returns us to 13/7.
I hope it makes sense.
Some friends of yours collected books for a book drive. They collected 64 Fiction, and 48 Non-Fiction books. They asked you to make bundles of books so that all the books get sent to families who want them and all of the bundles have the same content inside. How many bundles of books can your team send? How many fiction books will you need to put in each bundle? How many non-fiction books will you need to put in each bundle?
Answers
As all of the bundles have the same content inside, so assuming that there is x number of Fiction books and y number of Non-fiction books in each bundle.
Let n be the total number of bundles that my team can send.
There are 64 Fiction books, so
nx=64 ...(i)
Or x=64/n ...(ii)
also, there are 48 Non-Fiction books, so
ny=48 ...(iii)
Or y=48/n ...(iv)
Observing that the numbers x, y, and n are counting numbers and from equations (i) and (iii), n is the common factor of 64 and 48.
The possible common factors of 64 and 48 are,
n=1,2,4,8, and 16.
So, my team can send 1,2,3,4,8 or 16 bundles of books.
Now, from equations (ii) and (iv),
For n=1:
x=64/1=64
y=48/1=48
So, for 1 bundle the number of Fiction and Non-fictions books are 64 and 48 respectively.
For n=2:
x=64/2=32
y=48/2=48
So, for 2 bundles, the number of Fiction and Non-fictions books are 32 and 24 respectively.
For n=4:
x=64/4=16
y=48/4=12
So, for 4 bundles, the number of Fiction and Non-fictions books are 16 and 12 respectively.
For n=8:
x=64/8=8
y=48/8=6
So, for 8 bundles, the number of Fiction and Non-fictions books are 8 and 6 respectively.
For n=16:
x=64/16=4
y=48/16=3
So, for 16 bundles, the number of Fiction and Non-fictions books are 4 and 3 respectively.
please help (a is 12)
Answers
Answer:
well if a is 12 it means that would become 144/12. simplified to a whole number is 12. so 12-2.4 would = 9.6
Step-by-step explanation:
Answer:
9.6
[tex]12^{2}[/tex]/12 cancels out
12-2.4=9.6
:)Hope you enjoy:)Simplify the expression (2d + 3) + (3d − 12).
Answers
Answer:
(2d +3d) + 3-12 equals to 5d - 9
Step-by-step explanation:
you try collecting like terms
Answer:
[tex]5d-9[/tex]
Step-by-step explanation:
Given the following question:
[tex](2d + 3) + (3d-12)[/tex]
To find the answer remove the parentheses, group like terms, and solve by using inverse of operations.
[tex](2d + 3) + (3d-12)[/tex]
[tex]2d+3+3d-12[/tex]
[tex]2d+3d+3-12[/tex]
[tex]3-12=-9[/tex]
[tex]2d+3d+-9[/tex]
[tex]2d+3d=5d[/tex]
[tex]5d-9[/tex]
Your answer is "5d - 9."
Hope this helps.
Tom is 8 years younger than John. Let j represent John's age in years. Write an algebraic expression to represent Tom's age in years.
Answers
Answer:
(j-8)years is the answer to the question
Write an equation of a line that has an undefined slope and goes through the point (9,-5)
Answers
Answer:
x=9
Step-by-step explanation:
a undefined line is a straight line so the y value does not matter sence it goes through all the y values
Answer:
x= 9Step-by-step explanation:
Slope formula is
m = Δy/ΔxWhen Δx = 0 the denominator of the fraction is zero, hence it is undefined
So this is a vertical line
A vertical line passing through the point (9, -5) is x= 9
So the answer is x= 9