Answer:
Original angle = 122*
Supplementary angle = 58*
Step-by-step explanation:
A supplementary angle is one of two angles that make up 180*
If one angle is 30*, its supplementary angle is 150*. 30 + 150 = 180.
So in this case we have two angles, the original and the supplementary angle. The original angle is 64* more than the supplementary angle. The key word is MORE.
The formula to figure it out would look like this: x + (x + 64) = 180
x is the supplementary angle
x + 64 is the original angle (64 MORE than its supplementary angle)
180 is the total measure of the two angles because they are supplementary and we know that supplementary angles always equals 180* when added together.
Take the formula and do a little algebra.
x + (x + 64) = 180
Subtract 64 from both sides
x + x = 116
Combine the x's
2x = 116
Divide both side by 2
x = 58
Remeber we know that the original angle is 64 more than the supplementary angle, so we'll add the 64 to the value of x and we get 122.
x + 64 = 122
Check our work:
x + (x + 64) = 180
58 + 58 + 64 = 180
Given :
An angle which measures 64° more the measure of its supplementary angle.⠀
To Find :
The measure of its supplementary angle.⠀
Solution :
Let's assume the one of the supplementary angle as x and the other angle as (x + 64)° .Now,
⠀
According to the Question :
⠀
[tex]\longrightarrow\qquad \sf{{x + (x + 64) {}^{ \circ} = {180}^{ \circ} }}[/tex]
⠀
[tex]\longrightarrow\qquad \sf{{x + x + 64 {}^{ \circ} = {180}^{ \circ} }}[/tex]
⠀
[tex]\longrightarrow\qquad \sf{{2x + 64 {}^{ \circ} = {180}^{ \circ} }}[/tex]
⠀
[tex]\longrightarrow\qquad \sf{{2x = {180}^{ \circ} - 64 {}^{ \circ}}}[/tex]
⠀
[tex]\longrightarrow\qquad \sf{{2x = {116}^{ \circ} }}[/tex]
⠀
[tex]\longrightarrow\qquad \sf{{x = \dfrac{{116}^{ \circ}}{2} }}[/tex]
⠀
[tex]\longrightarrow\qquad \mathfrak{\pmb{{x = {58}^{ \circ} }}}[/tex]
⠀
Therefore,
One angle = 58°Other angle = 58° + 64° = 122°⠀
Henceforth ,
The measure of the two angles are 122° and 58° .1. In each case, which average do you think is most useful: the mean, median, or mode?
Justify your answer.
Answer:
depends on the cases. they all have different uses
need help plz will give brainy not sure if i got it right
Answer:
Neither triangle
Step-by-step explanation:
Define an irrational number that cannot be written as a fraction (denominator of 1 or 0 does are excluded).
Both triangles are good examples of common Pythagorean triples.
The Pythagorean theorem states that for any right triangle, the following is true:
[tex]a^2+b^2=c^2[/tex], where [tex]a[/tex] and [tex]b[/tex] are two legs of the triangle and [tex]c[/tex] is the hypotenuse.
Using this theorem we can solve for the hypotenuse of both triangles:
Triangle 1:
[tex]3^2+4^2=h^2,\\h^2=25,\\h=5\:\text{(rational)}[/tex]
Triangle 2:
[tex]0.5^2+1.2^2=h^2,\\h^2=1.69,\\h=1.3\:\text{(rational)}[/tex]
What is the slope of the line y = 6x + 3?
3
-6
6
-3
Answer:
the answer is 6
Step-by-step explanation:
slope = m
y = mx + c
m = 6
Find the circumference and area of the circle. Use 3.14 for it. Round to the nearest hundredth it
7 m
The circumference of the circle is about
The area of the circle is about
m.
Step-by-step explanation:
hope this helped you :)) !!
An amusement park had 56,437 visitors the first year and 48,319 visitors the second year it was open. What was the total number of visitors for both years?
Answer:
104,758
Step-by-step explanation:
PLZ HELP ME
What is the quadratic regression equation for the data set?
yˆ=−0.175x2−3.786x+121.119
yˆ=−0.175x2+3.786x−121.119
yˆ=−0.175x2+3.786x+121.119
yˆ=−0.175x2−3.786x−121.119
x y
6 100
3 110
10 50
3 90
5 120
15 30
9 70
Answer:yˆ=−0.175x2−3.786x+121.119
look at picture
Step-by-step explanation:
The quadratic regression equation for the data set is:
y^ = -0.175x²-3.786x+121.119
What is Quadratic Regression Equation?Quadratic regression is the process of determining the equation of a parabola that best fits a set of data. This set of data is a given set of graph points that make up the shape of a parabola. The equation of the parabola is y = ax² + bx + c, where a can never equal zero.
According to the given problem,
Let us choose any value of x,
x = 10
For this value of x we can see that the respective value of y= 50
Substituting the value of x in the equations to see which equation satisfies the value of y as 50.
Substituting the value of x in the equation:
y^ = -0.175x²-3.786x+121.119
y^ = 50
Hence, we can conclude that y^ = 0.175x² - 3.786 + 121.119 is the quadratic regression equation for the given data set.
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James invests some money into an account that pays 4% compounded annually. If the account has $851.66 after 5 years, how much did he originally invest?
Answer:
the third option, "what number, when added to negative four, is equal to negative five?"
Step-by-step explanation:
"what number, when added to negative four, is equal to negative five?" can be expressed as g + (- 4) = - 5, which is the same as in the equation.
i hope this helps! :D comment if you need any clarification.
Find the volume round to the nearest hundredth
Answer:
333.67
Step-by-step explanation:
trust
I need Answer Immediately!!!!!!!!!
Answer:
the equation is x-6
pls mark me as brainliest
Complete the frequency table for the following set of data. You may optionally click a number to shade it out.
5
5,
2
2,
5
5,
2
2,
3
3,
5
5,
1
1,
1
1,
3
3,
1
1,
0
0,
4
4,
4
4,
6
6,
2
2,
1
1,
0
0,
5
5,
4
4,
7
7,
2
2,
3
3,
0
0
Answer:
0 -> 6 in frquency
1 -> 8 in frequency
2 -> 8 in frequency
3 -> 6 in frequency
4 -> 6 in frequency
5 -> 8 in frequency
6 -> 2 in frequency
7 -> 2 in frequency
Step-by-step explanation:
brainliest plz
Andrea has 4 hours to spend training for an upcoming race. She completes her training by running full speed the distance of the race and walking back the same distance to cool down. If she runs at a speed of 8mph and walks back at a speed of 2mph, how long should she plan to spend walking back?
Answer:
Time spend in walking = 3.2 hour = 3¹/₅ hour
Step-by-step explanation:
Given:
Total time taken = 4 hour
Speed when run = 8 mph
Speed when walk = 2 mph
Find:
Time spend in walking
Computtaion:
We know that;
Time = Distance / Speed
Assume;
One side distance = D
So,
D/8 + D/2 = 4
2D + 8D = 64
10D = 64
D = 6.4
So,
One side distance = 6.4 mile
Time spend in walking = One side distance / Speed when walk
Time spend in walking = 6.4 / 2
Time spend in walking = 3.2 hour = 3¹/₅ hour
Somebody please help it would be much appreciated.
Answer:
25
Step-by-step explanation:
as you can see test a is further away from the ruler you have to put it at 0 so that you can get your answer I am not sure if it's correct or not
Answer:
Step-by-step explanation:
mean, median, mode, and range
23, 24, 24, 25, 26, 27, 28, 29, 30
Mean- 26.222222222222
Median- 26
Mode- 24
Range- 7
Hope this helped :D
PYTHAGOREAN THEOREM BASED QUESTION: If you show steps I will give Brainliest
An artist joined three square regions at their
vertices to create the figure shown in the diagram.
The artist will use small congruent square tiles to
cover each region without any gaps or overlaps.
Based on the information, which statement is true?
A. The number of tiles needed to cover Region X
is the same as the number of tiles needed to
cover both Region Y and Region Z.
B. The number of tiles needed to cover Region Y
is the same as the number of tiles needed to
cover both Region X and Region Z.
C. The number of tiles needed to cover Region Z
is the same as the number of tiles needed to
cover both Region X and Region Y.
D. None of these
Answer:
C. The number of tiles needed to cover Region Z is the same as the number of tiles needed to cover both Region X and Region Y.
Step-by-step explanation:
Beth can buy T-shirts in packs of 5 for $5.55 or in packs of 2 for $4.82. How much money does she save by buying 40 T-shirts at a better price?
Answer:
$52
Step-by-step explanation:
Given data
Beth can buy T-shirts in packs of 5 for $5.55
Cost per shirt
=5.55/5
=$1.11
To buy 40 shirt
=1.11*40
=$44.4
In packs of 2 for $4.82
cost per shirt
=4.82/2
=$2.41
To buy 40 shirt
=2.41*40
=$96.4
Hence the best buy in packs of 5 for $5.55
and the cost per shirt is $1.11
He will save
=96.4-44.4
=$52
Question
Which of the following is equivalent to x2 – 5x + 6?
o (x - 2)(- 3)
o (x - 2)(x+3)
o (x+6)(x - 1)
o (x-6)(x + 1)
Answer:
Option one (x-2)(x-3)
Step-by-step explanation:
We have x²-5x+6 =0
X²-3x-2x+6=0
X(x-3)-2(x-3)=0
(x-2)(x-3)=0
omg please help me I don't understand
Answer:
508sq. cm
Step-by-step explanation:
surface area of a prism = 2(lw + wh + lh)
For the larger prism
Surface area = 2(2*10 + 2 * 12 * 10*12)
Surface area = 2(20+24+120)
Surface area = 2(164)
Surface area = 328sq.cm
For the smaller prism
Surface area = 2(3*6 + 3 * 8 * 6*8)
Surface area = 2(18+24+48)
Surface area = 2(90)
Surface area = 180 sq.cm
Surface area of the figure = 328 + 180
Surface area of the figure = 508sq. cm
Solve the equation f/2 +9=4 how can you isolate the variable F 
Answer:
F= -2.5
Step-by-step explanation:
divide both sides by two in order to isolate f.
by dividing by 2 on the left hand side it cancels out the /2 leaving you with only f
then because you divided the left hand side by 2 you need to do the same on the right therefore giving you -5/2 which equals -2.5
The value of f in the equation is -10.
What is a Variable?'In mathematics, a variable is a symbol and placeholder for a quantity that may change. In particular, a variable may represent a number, a vector, a matrix, a function, the argument of a function, a set, or an element of a set.'
According to the given problem,
First we need to isolate the variable f:
⇒ [tex]\frac{f}{2}+ 9 = 4[/tex]
Now, transposing 9 to the right hand side,
⇒ [tex]\frac{f}{2}[/tex] = 4 - 9
⇒ [tex]\frac{f}{2} = -5[/tex]
⇒ f= ( -5 * 2 )
⇒ f= -10
Hence, the required value of the variable f is -10.
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20 POINTS ILL GIVE BRAINLY TO THE FISRT ANSWER:
Find the requested composition of functions.
Given f(x) = 5x + 12 and g(x) = 4x -1, find f ° g(x)
Answer:
(f ° g)(x) = 20x + 7
Step-by-step explanation:
(f ° g)(x) = f(g(x)) = 5(4x - 1) + 12 = 20x - 5 + 12 = 20x + 7
An ice cream shop has 5 flavors. Carlos wants to buy a five-scoop cone with 5 different flavors. How many cones could he buy if the order of the flavors is important?
A.30,140 cones
B.240 cones
C.120 cones
D.60 cones
E.26,970 cones
First to answer gets marked brainliest.
Can someone please help? The question is in the picture.
===========================================================
Explanation:
The diagram shows that PT = 4 and QR = 5. Since QR is a radius of the circle, this means that the other radii segments TR and RS are also 5 units long.
Note how PR = PT+TR = 4+5 = 9, and how this segment is the hypotenuse for the right triangles PQR and PRS.
Picking either triangle, we have one known leg of 5 units (the radius mentioned earlier) and the other is unknown. The unknown leg is tangent to the circle, and recall that a tangent segment is always perpendicular to the radius at the point of tangency. So that's why we have right triangles.
Apply the pythagorean theorem to find the length of PQ and PS (both are the same length)
a^2 + b^2 = c^2
a^2 + 5^2 = 9^2
a^2 + 25 = 81
a^2 = 81 - 25
a^2 = 56
a = sqrt(56)
a = sqrt(4*14)
a = sqrt(4)*sqrt(14)
a = 2*sqrt(14)
The exact length of PQ and PS is 2*sqrt(14) units.
---------
We have enough to find the perimeter of quadrilateral PQRS. We add up the exterior sides. That means we ignore the interior segment PR.
perimeter = PQ+QR+RS+SP
perimeter = 2*sqrt(14)+5+5+2*sqrt(14)
perimeter = 10+4*sqrt(14)
Answer is choice B
Side note: The expression above approximates to roughly 24.966629
The area of a rectangular classroom is 572 square feet.
If the width of the classroom is 22 feet, what is the
length?
Answer: 26 Feet
Hope this helps!
Pls help !! Will give brainliest
Answer:
the first one (25x + 30y is less than or equal to 100)
Step-by-step explanation:
money for clothing set x amount of sets plus pairs of shoes has to be less than or equal to 100 dollars.
Identify any outliers of the data set. Then determine the effect that the outlier has on the mean.
25, 29, 58, 27, 23, 26, 27, 25, 28, 24
Answer:
58
Step-by-step explanation:
It is going to be 58 because that is the more "random" number. It is does not fit with the rest of your numbers.
Answer:
the outlier is 58. it skews the data
Step-by-step explanation:
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
A
Step-by-step explanation:
120 is the starting value, aka the price of the painting in 2014 before it is increased.
Supongamos que un restaurante ofrece 5 entradas, 4 platos principales y 3 postres. ¿De
cuántas formas un cliente puede ordenar una comida?
Answer:
El cliente puede ordenar una comida en 60 formas distintas.
Step-by-step explanation:
El cliente escoge una entrada de las cinco opciones disponibles, luego un plato principal de cuatro opciones disponibles y un postre de tres opciones disponibles. Es costumbre consumir primero una entrada, después un plato principal y finalmente, un postre.
Estadísticamente hablando, se debe considerar un producto de tres combinaciones, puesto que el orden no importa a la hora de pedir, como sigue:
[tex]n = _{5}C_{1}\times _{4}C_{1}\times _{3}C_{1}[/tex] (1)
Donde:
[tex]n[/tex] - Total de combinaciones al ordenar una comida (entrada, plato principal, postre)
[tex]_{5}C_{1}[/tex] - Combinaciones posibles para pedir una entrada.
[tex]_{4}C_{1}[/tex] - Combinaciones posibles para pedir un plato principal.
[tex]_{3}C_{1}[/tex] - Combinaciones posibles para pedir un postre.
Ahora, desarrollamos la operación:
[tex]n = \frac{5!}{(5-1)!}\times \frac{4!}{(4-1)!} \times \frac{3!}{(3-1)!}[/tex]
[tex]n = 5\times 4\times 3[/tex]
[tex]n = 60[/tex]
El cliente puede ordenar una comida en 60 formas distintas.
Condense (cos92°)(cos133°)-(sin92°)(sin133°) into a singular trigonometric function expression, then find the exact value.
Answer:
-1/√2
Step-by-step explanation:
According to trigonometry identity
cos(A+B) = cosAcosB - sinA sinB
Given the expression
(cos92°)(cos133°)-(sin92°)(sin133°)
This can be expressed as cos(92+133) where A = 92, B = 133
(cos92°)(cos133°)-(sin92°)(sin133°)
= cos(92+133)
= cos225
= -0.7071
= -1/√2
Hence the exact value is -1/√2
Which linear inequality is represented by the graph?
2
1
5 4 3 2 1
o ya x-4
oys x-4
ys-x+4
oyz x+4
3
-2-
3
Save and Exit
Next
Submit
The required equation will be y ≤ 1/3 x - 4
The standard form of a linear equation is y = mx + b
m is the slope of the lineb is the y-interceptUsing the coordinate points (0, -4) and (3, -3)
m = -3+4/3-0
m = 1/3
Since the line cross the y-axis at y = -4, henc b = -4
Get the required equation;
y = mx + b
y = 1/3x - 4
Since the line is solid and shaded below, hence the required equation will be y ≤ 1/3 x - 4
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Of the flags in Albert's Flag Shop, 1/10 are pink and another 1/2 are orange. What fraction of the flags are either pink or orange?
Answer: 6/10
Step-by-step explanation: The answer is 6/10 because: first you convert the 1/2 to tenths which would be 5/10. Then, you add 1/10 and 5/10 and you get 6/10 of the flags were either pink or orange.
Problem Set
1. A 5-liter cleaning solution contains 30% bleach. A 3-liter cleaning solution contains 50%
bleach. What percent of bleach is obtained by putting the two mixtures together?
5 liters (L) of 30% bleach solution contains 0.3×(5 L) = 1.5 L of bleach.
3 L of 50% bleach contains 0.5×(3 L) = 1.5 L of bleach, too.
Combined, you would have 8 L of solution containing 1.5 L + 1.5 L = 3 L of bleach, so the concentration of bleach is
(3 L) / (8 L) = 0.375 = 37.5%