Answer:
Alternate interior angles have the same measure. As we know that 'angle 1 ' and 50° are alternate interior angles hence they must be equal. Also we now that sum of all the angles of a triangle is equal to 180°. Hence, m∠2=15°
Step-by-step explanation:
Answer:
90°
Step-by-step explanation:
This is a kite.
The angle measures of the diagonals (the lines in the middle) are always going to be 90° if they looks like this without any other measures. This goes for all other quadrilaterals as well.
m∠2=90°
Hope I helped.
Tú tienes la mitad de lo que tenías y tendrás el triple de lo que tienes. Si tuvieras lo que tienes, tenías y tendrás, tendrías lo que yo tengo que es 180 dólares más de lo que tú tendrás ¿Cuánto tenías? Ayuda por favor
Answer:
Nosotros teníamos 120 dólares.
Step-by-step explanation:
Sean [tex]x[/tex], [tex]y[/tex], [tex]z[/tex] lo teníamos, lo que tenemos y lo que tendremos, respectivamente. A continuación, traducimos puntos claves del enunciado en expresiones matemáticas:
(i) Tu tienes la mitad de lo que tenías:
[tex]y = \frac{1}{2}\cdot x[/tex] (1)
(ii) Tendrás el triple lo que tienes:
[tex]z = 3\cdot y[/tex] (2)
(iii) Si tuvieras lo que tienes, tenías y tendrás, tendrías lo que yo tengo que es 180 dólares más de lo que tu tendrás:
[tex]x+y+z = z + 180[/tex]
[tex]x + y = 180[/tex] (3)
En consecuencia, tenemos el siguiente sistema de ecuaciones lineales:
[tex]\frac{1}{2}\cdot x -y = 0[/tex] (1)
[tex]3\cdot y - z = 0[/tex] (2)
[tex]x + y = 180[/tex] (3)
La solución del sistema de ecuaciones es: [tex]x = 120[/tex], [tex]y = 60[/tex], [tex]z = 180[/tex].
Nosotros teníamos 120 dólares.
which equation represents a linear function
Answer:
Bottom right equation
Can someone please help me with this math question??
You can buy a 6 back of Gatorade for $4.99 or you can buy 1 for $0.89. Which is
the better buy?
6 for $4.99
1 for $0.89
Answer: 6 for $4.99
Step-by-step explanation: You would be better off buying 6 for $4.99 because the unit rate of each bottle is cheaper. You can find the unit rate by dividing 4.99 by 6 which equals .83
If you were to buy 6 for .89 you would end up spending $5.34.
Hope this helps :)
Answer:
6 for 4.99
Step-by-step explanation:
.89 x 6= 5.34
Calculate the radian measure of a 30 degree angle. Use any method you like, including sketching in the circle diagram provided. Explain or show your reasoning.
Answer:
The radian measure of 30° is [tex]\frac{\pi}{6}[/tex] radians.
Step-by-step explanation:
A complete revolution equals 360°, that is, 2π radians. If the given angle is 30°, then the value of the radian measure is calculated by the following simple rule of three:
[tex]x = \frac{30^{\circ}}{360^{\circ}}\times 2\pi[/tex]
[tex]x = \frac{\pi}{6}\,rad[/tex]
The radian measure of 30° is [tex]\frac{\pi}{6}[/tex] radians.
A tea that is 20% jasmine is blended with a tea that is 15% jasmine. How many pounds of each tea are used to make 5lb of tea that is 18% jasmine?
Answer:
21
Step-by-step explanation:
The amount of each tea are used to make 5lb of tea that is 18% jasmine is 3 lb of first type of tea, and 2 lb of second type of tea.
How to form mathematical expression from the given description?You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.
For this case, we can assume that:
x = number of pounds we mix first type of tea (tea with 20% jasmine)y = number of pounds we mix first type of tea (tea with 15% jasmine)Then, as the total weight of the mixture is 5 lb, thus:
[tex]x + y = 5[/tex]
18% jasmine in 5 lb of mixture = 20% jasmine in x lb of first tea + 15% jasmine in y lb of second tea
Comparing in terms of weight, we get:
[tex]\dfrac{5}{100}\times 18 = \dfrac{x}{100} \times 20 + \dfrac{y}{100} \times 15\\\\90 = 20x + 15y\\18 = 4x + 3y[/tex]
Thus, we get a system of two linear equations as;
[tex]x + y = 5\\4x + 3y =18[/tex]
From first equation, getting x in terms of y:
[tex]x = 5 -y[/tex]
Substituting this in second equation, we get:
[tex]4(5-y) + 3y = 18\\20-4y + 3y =18\\y = 2\\[/tex]
Putting this value in expression for x, we get:
[tex]x = 5-y = 5-2 = 3[/tex]
Thus, the amount of each tea are used to make 5lb of tea that is 18% jasmine is 3 lb of first type of tea, and 2 lb of second type of tea.
Learn more about solutions of a system of linear equations here:
https://brainly.com/question/13722693
Anyone please me on this!!
Answer:
27 degrees
Step-by-step explanation:
So looking at this rhombus, we can make out 4 seperate traingles.
How many degrees are in a traingle? 180.
Looking at the traingle with z angle in it, we can see that it is a right traingle.
Now, lets subtract that 90 degrees from the 180.
This leaves us with the 63 degrees and x that make up the 90 degrees that are left.
Now all we have to do is subtract the 63 degrees from the 90 total degrees that we have left, and we will find out what z is equal to.
90 minus 63 is 27, so the angle of z is:
27 degrees
I hope this helps!
Note that I assumed these are right traingles, however I dont see how you can solve this without these being right trianlges, since you cannot use sin, cos, or tan to find this value without another angle or side length.
Find the 8th term of the geometric sequence 3, 9, 27, ...
Answer:
The geometric sequence given is:
3, 9, and 27
When provided with a geometric sequence we must first calculate the common ratio
r is obtained by dividing a term by its preceding term.
1) 9
---- = 3
3
2) 27
---- = 3
9
for the sequence
Common ratio r = 3First term a = 3n = 8The 8th term can be obtained through formula
n-1 (8 - 1)
T = ar = 3 × 3
n
7
= 3 × 3
= 3 × 2187 = 6561
The line plot below shows data on the total number of hours that each volunteer spent at a nature center one week. Which question cannot be answered using the data in the graph
Answer:
How many volunteers worked a total of 4 hours
Step-by-step explanation:
Its right i got a one hundred my test
Answer:
How many volunteers worked at a total of 4 hours?
Step-by-step explanation:
Solve the quadratic equation by using either numeric or graphic approach x^2 + 2x - 3 = 0
Answer:
d
Step-by-step explanation:
[tex]x 1= \frac{ - b + \sqrt{ {b}^{2} - 4ac} }{2a} \\ x2 = \frac{ - b - \sqrt{ {b}^{2} - 4ac} }{2a} \\ x1 = \frac{ - 2 + \sqrt{ {2}^{2} - 4\times 1 \times ( - 3)} }{2} = 1 \\ x2 = \frac{ - 2 - \sqrt{ {2}^{2} - 4 \times 1 \times ( - 3)} }{2} = - 3[/tex]
Answer:
d
Step-by-step explanation:
Solving by factorising
Given
x² + 2x - 3 = 0 ← in standard form
(x + 3)(x - 1) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 3 = 0 ⇒ x = - 3
x - 1 = 0 ⇒ x = 1
solve this for me plzzzz and thxxx
answer the picture first then answer my second question lot of points
The angle measures in a triangle are 25°, 135°, and 20°. What type of triangle is it?
A. isosceles triangle
B. obtuse triangle
C. right triangle
D. acute triangle
Answer:
ec and obtuse triangle
if p and q vary inversely and p is 17 when q is 15, determine q when p is equal to 5
Answer:
Step-by-step explanation:
q = 51
Writing these statements symbolically, we get p = k/q. This is inverse variation.
Solving for k, we get k = pq. Thus the governing equation is k = pq, or k = (17)(15) = 255.
We then have a specific equation: p = 255/q, or q = 255/p.
If p is 5, q is q = 255/5 = 51
help me please aaaaaaaaaaaaaaaaaaaaaaaaaaaa
Answer:
v=-16
Step-by-step explanation:
-2=2+v/4
(we know that 2+-4=-2 so we can see if that works)
(4*-4=-16)
2+-16/4=-2
(-16/4=-4)
2+-4=-2
Which one? Do i chose
Answer:
226 inches cube
Step-by-step explanation:
The volume of the cylinder is the area of the base X height therefore it would be 3^2 * 3.14 * 8 = 72 * 3.14 = 226.08.
Answer:
151 in^3
Step-by-step explanation:
pi x 3^2 x 5.5 (the approximate water level)
= 155
151 is the closest answer
A candy company can sell fruit gums in rectangular boxes or in cylindrical tubes. Each box is 8 cm by 3 cm by 7 cm. Each cylinder has radius 3 cm and height 6 cm. The company wants the packaging that uses less material. Which packaging should the company choose? Justify your choice.
Answer:
i. The company should use the cylindrical tubes.
ii. This is because the surface area of the cylindrical tubes, A' = 169.65 cm² is less than the surface area of the rectangular box, A = 202 cm²
Step-by-step explanation:
i, Which packaging should the company choose?
The packaging that uses less material is the one with the least surface area. So, we find the surface area of each material.
For the rectangular box, the surface area, A = 2(lb + lh + bh) where l = length, b = breadth and h = height. Since each box is 8 cm by 3 cm by 7 cm,l = 8 cm, b = 3cm and h = 7cm.
So, ,A = 2(lb + lh + bh)
,A = 2( 8 cm × 3 cm + 8 cm × 7 cm + 3 cm × 7cm)
A = 2(24cm + 56 cm + 21cm)
A = 2(101 cm²)
A = 202 cm²
For the cylindrical tube, the surface area, A' = 2πr(r + h) where r = radius of cylinder and h = height of cylinder.
Since each cylinder has radius 3 cm and height 6 cm, r = 3cm and h = 6 cm.
So, A' = 2πr(r + h)
A' = 2π(3 cm)(3 cm + 6cm)
A' = (6π cm)(9 cm)
A' = 54π cm²
A' = 169.65 cm²
Since the surface area of the cylindrical tubes, A' = 169.65 cm² is less than the surface area of the rectangular box, A = 202 cm²
The company should use the cylindrical tubes.
ii. Justify your choice.
This is because the surface area of the cylindrical tubes, A' = 169.65 cm² is less than the surface area of the rectangular box, A = 202 cm²
answer question asap please
AnswThe answer would be 5 and 86
Step-by-step explanation:
sulitions are 5 and 86
Answer:
x = 1/5 , -3/5 ??
Step-by-step explanation:
What is m∠1? HELP ME PLEASE
Answer:
97
Step-by-step explanation:
exterior angle property of triangle
64+33 equals 97
in other ways
By Angle sum property of triangle, the measure of 3rd angle is 83 and
angle 1 and 3rd angle are supplementary
so,
180 - 83 = 97
PLEASE HELPLPPPpppppp
Answer:
40
Step-by-step explanation:
it could be 40 all I did was subtract 80 from 120 but ¡dk wasn't really good in geometry
for brainiest:):):):):):):):):):):):)
Answer:
a) 12.5 in
b) 9.6 ft
Step-by-step explanation:
Since the scale is 2:5, you can use cross multiplication. 5*5=2x; 25=2x. Divide 2 on both sides and.. BOOM! you get 12.5.
You can do the exact same thing with the second blank. 2*24=5x; 48=5x. Divide 5 on both sides and you get... 9.6 feet!
Hope this helps! :)
Help needed!
The photo attached is the question :)
Answer:
x = 90°
Step-by-step explanation:
This is very simple. Any triangle embedded in a circle with it's long side as the diameter is a right triangle. Thus, x = 90°.
What is the circumference of a circle with a radius of 5.4 ft? Use 3.14 for π and round your answer to the nearest hundredth
Answer:
91.61
Step-by-step explanation:
A=πr2=π·5.42≈91.60884
hope this helps give me crown
make x the subject of the formula y=2x+4
Answer:
X= y/2-2
Step-by-step explanation:
Well to isoalte x just do the same thing you would do for y,
Isolate the numbers without a variable buy subtravting 4 on each side.
y-4=2x
Now isolate 2 and x by divide 2 on both sides
y/2-2=x
This can be determined by the simple mathematical concepts. Therefore the value of x is, [tex]\bold{x=\dfrac{y-4}{2} }[/tex] the subject of he formula y=2x+4.
Given that the subject of the formula y=2x+4.
We have to find x.
According to the question,
To obtained the value of x by the given formula
i.e. y = 2x+4 .....(1)
Now the value of x is from the above equation (1)...
[tex]\bold{x=\dfrac{y-4}{2} }[/tex]
Hence, the value of x , [tex]\bold{x=\dfrac{y-4}{2} }[/tex] makes x the subject of the formula y=2x+4.
For further details,please refer this link:
https://brainly.com/question/20632687
PLS HELP ILL GIVE THE BRAINLEST PLEASSSSSE
(6x2 - 2x) + (5x-7)
A. 30x3 - 52x2 + 14x
B. 6x2 - 7x+7
c. 11x2 - 9x
D. 6x2 + 3x - 7
Answer:
The answer is D
If w = 6 units, x = 3 units, and y = 5 units, what is the surface area of the figure?
Figure is composed of a right square pyramid on top of a square prism. The sides of the square pyramid are equal to the sides of the square prism, the length and width of the square prism is w, the height of the square prism is x, and the height of the square pyramid, which forms a right angle with the center, is y.
Answer:
240 units^2
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
178^2 units
Find x.
A.2.14
B.10
C.22.8
D.35
A is your answer just multiply it by 14 then add it by 5 it looks as if all sides are equal.
Exponential functions
Answer:
oh no i dunno how to do this
Step-by-step explanation:
Answer:
36, 6, (1/)36
1/6 ^ -2 = 6^2 = 36
1/6 ^ -1 = 6^1 = 6
1/6 ^2 = 1/36
this is old work i forget how to do it
Answer:
1.101, 1.001, and 0.113
Step-by-step explanation:
the first on is the highest
plz leave a like and brainlest!! i need 10 to ask a quistion!!!
Answer:
Tenths place is a zero
↓
0.113 1.001 1.101
↑
One's place is a zero
A tower that is 100 feet tall casts a shadow 125 feet long. Find the angle of elevation of the sun to the nearest degree.
Answer:
39 degrees
Step-by-step explanation:
tan^-1(100/125)
=39 degrees (cor. to the nearest degree)