Answer:
The triangles are similar.
Step-by-step explanation:
They are similar because they have the same angles. They may be the same size, but it would be best to refer to whatever definition you were given.
The correct descriptions from the list accurately describe the relationship between QRS and TUV is,
⇒ Similar
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
We have to given that;
Two triangles are shown in figure.
Here, All the corresponding angles are same in both triangles.
And, The ratio of their corresponding sides are,
In triangle TUV;
⇒ 90 / 108 = 30 / 36
In triangle QRS;
⇒ 30 / 36
Hence, The correct descriptions from the list accurately describe the relationship between QRS and TUV is,
⇒ Similar
Learn more about the triangle visit;
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In right ΔDEF, DF = 20, m∠ F = 90˚, EF = 17. Which of the following is true? Does option 5 apply
(-9g5+ 9) + (4g5- 5)
PLEASE HELP ASAP! Worth 15 points!!
Which graph represents a function with direct variation?
Answer:
The bottom right photo
Step-by-step explanation:
A direct variation is an equation in the form y = kx, where k is the constant of variation. Since it is in this form, the equation will pass through the origin (0, 0)
The graph below have the same shape. What is the equation of the graph?
Answer:
C
Step-by-step explanation:
The graph has been translated down 4 units and moved to the right 2 units
so correct answer is C (x-2)^2-4.
PLZ HELP
Which statement is an example of the reflexive property of congruence?
If a class has a total of 3400 points I can earn how many points would I need to get in total to get at least a 90?
Answer:
are you asking how many points are needed to get 90% in
a class that has a total of 3400 points ?
id so that is : 3060
Step-by-step explanation:
Help fast
Luke and Owen have \$100$100dollar sign, 100 each. Their friend offered to invest their money, promising to return a sum rrr times as great as what they invested. Luke was suspicious, so he invested \$10$10dollar sign, 10 only, but Owen invested his entire \$100$100dollar sign, 100. Fortunately, the friend did indeed return a sum rrr times as great to each.
They decided to make another investment. This time, Owen invested all of the money returned to him, and Luke invested the money returned to him and the remaining \$90$90dollar sign, 90. Again, they got a sum rrr times as great as what they invested. In the end, Owen had \$337.50$337.50dollar sign, 337, point, 50 more than Luke.
Write an equation in terms of rrr that models the situation.
An equation in terms of r which models the situation described is : 100r² = 10r² + 90r - 337.50
First investment :
Luke:
Total amount had = $100
Amount invested = $10
Amount left = $100 - $10 = $90
Return = r times the amount invested = (10 × r) = 10r
Owen:
Total amount had = $100
Amount invested = $100
Return = r times the amount invested = (100 × r) = 100r
Second investment :
Luke :
Amount invested = Return on first + amount left = 10r + 90
Return is r times the amount invested :
Return on second investment = (10r + 90) × r = (10r² + 90r)
Total amount earned after both investment = 10r² + 90r
Owen :
Amount invested = Return on first = 100r
Return is r times the amount invested :
Return on second investment = (100r × r) = 100r²
Total amount earned after both investment = 100r²
Owen made 337.50 more than Luke ; This means that :
Total earned by Owen = Total earned by Luke + 337.50
100r² = 10r² + 90r + 337.50
Hence, the equation in terms of r is : 100r² = 10r² + 90r - 337.50
Learn more : https://brainly.com/question/18796573
1.Una granja tiene gallinas y vacas. En total hay 58 cabezas y 168 patas. ¿Cuántos gallinas y cuantas vacas hay?
Answer:
no c
Step-by-step explanation:
PLEASE HELP! Use the substitution method to solve the system of equations.
A. (-30,11)
B. (5,-3)
C. (10,-5)
D. (0,1)
Hello,
[tex]\left\{\begin{array}{ccc}2x+5y&=&-5\\x+3y&=&3\\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}x&=&3-3y\\6-6y+5y&=&-5\\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}x&=&3-3y\\y&=&11\\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}x&=&-30\\y&=&11\\\end{array}\right.\\\\[/tex]
Answer A
parallel to y - 2x = 4 and passes through (0,5)
Answer:
y=2x+5
Step-by-step explanation:
y=2x+4 means that the slope is m1=2
A parallel line shall have the same slope so
m2=m1=2
Therefore, the equation of the new line will be
y=2x+q
where q is the y-intercept, that is 5 because the line must pass in (0,5), so
q=5
and
y=2x+5
what is f(2)=
this thing had to be atleast 20
Suggest methods (other than Cartesian Coordinates) of describing the location of points on a plane.
Answer:
There are two alternatives: (i) Polar coordinate system (a.k.a. Circular coordinate system), (ii) Elliptic coordinate system.
Step-by-step explanation:
There are two alternative ways of describing the location of points on a plane:
(i) Polar coordinate system (a.k.a. Circular coordinate system).
(ii) Elliptic coordinate system.
Now we proceed to explain briefly the characteristic of each option:
Polar coordinate system: [tex](r, \theta)[/tex]
Where:
[tex]r[/tex] - Distance of the point with respect to origin.
[tex]\theta[/tex] - Direction of the vector between origin and point with respect to the +x semiaxis, in sexagesimal degrees.
The formulae for each component in terms of Cartesian coordinates are described below:
[tex]r = \sqrt{x^{2}+y^{2}}[/tex] (1)
[tex]\theta = \tan^{-1} \frac{y}{x}[/tex] (2)
Elliptic coordinate system: [tex](\mu, \nu)[/tex]
Where [tex]\mu[/tex] and [tex]\nu[/tex] are elliptical coordinates.
The formulae for each component in terms of Cartesian coordinates are described below:
[tex]x = a\cdot \cosh \mu \cdot \cos \nu[/tex] (3)
[tex]y = a \cdot \sinh \mu \cdot \sin \nu[/tex] (4)
Where [tex]a[/tex] is the distance between origin and any of the foci along the x axis.
Can someone help me with this math homework please!
Answer:
1. [tex]x=2[/tex]
2. Simplify by combining like terms
3. [tex]x=1[/tex]
4. [tex]k=0.5[/tex]
5. [tex]y=3[/tex]
Step-by-step explanation:
1. [tex]2.5(6x-4)=10+4(1.5+0.5x)[/tex]
Distribute within the parenthesis
[tex]15x-10=10+6+2x[/tex]
Combine like terms
[tex]15x-10=16+2x[/tex]
Isolate the variable expression by using the addition/subtraction properties of equality
[tex]13x=26[/tex]
Isolate the variable by using the division/multiplication properties of equality
[tex]x=2[/tex]
2. Like terms are always combined as soon as possible but never before the distributive property is applied.
3. You can find the solution by comparing the tables.
4. [tex]6k+10.5=3k+12[/tex]
Apply the addition/subtraction properties of equality
[tex]3k=1.5[/tex]
Apply the division/multiplication properties of inequality
[tex]k=0.5[/tex]
5. [tex]y+3=-y+9[/tex]
Addition/subtraction properties
[tex]2y=6[/tex]
Division/Multiplication properties
[tex]y=3[/tex]
A ream contains 500 sheets of paper. How many sheets in 2 reams?
In the diagram, ABC is an equilateral triangle, BCFG is a square and CDEF is a rectangle. The perimeter of the whole diagram is 65cm, find the length of GE
Answer:
22 cm
Step-by-step explanation:
the perimeter = AB+BG+GF+FE+ED+DC+CA
= 65 cm
7+7+7+FE+7+DC+7=65 => FE = CD
35+ 2FE = 65
2FE = 65-35
= 30
FE = 30/2 = 15
so, GE = GF + FE
= 7+15 = 22 cm
determine the period of this function
Explanation:
The function is somewhat sinusoidal but not entirely. Its composed of piecewise line segments when we should have a single continuous smooth curve; however, it's still periodic since it repeats itself.
Let's start at the top at the left most corner. This point has x coordinate of x = 1.
The other endpoint of this top left flat portion is when x = 2. Then the function curve goes downhill until it reaches x = 4. From x = 4 to x = 5, we're at the flat bottom part. From x = 5 to x = 7 is when the function increases.
Once we get to x = 7, the process described earlier starts all over again. So this is when the cycle ends and the length of the period is 7-1 = 6 units. The function repeats itself every 6 units, or you can say the length of each cycle is 6 time units (eg: 6 seconds).
Una torre de 28.2 m de altura esta situada a la orilla de un rio, desde lo alto del edificio el ángulo de depresión a la orilla opuesta es de 25.2°. Calcular el ancho del río
Answer:
El ancho del río es 59.9 metros.
Step-by-step explanation:
El ancho del río lo podemos calcular con la siguiente relación trigonométrica asumiendo que la torre forma un triángulo rectángulo con el río:
[tex]tan(\theta) = \frac{CO}{CA}[/tex]
En donde:
CA: es el cateto adyacente = Altura de la torre = 28.2 m
CO: es el cateto opuesto = ancho del río =?
θ: es el ángulo adyacente a CA
Dado que el ángulo de depresión (25.2°) está ubicado fuera de la parte superior de la hipotenusa del triángulo que forma la torre con la orilla opuesta del río, debemos calcular el ángulo interno (θ) como sigue:
[tex]\theta = (90 - 25.2)^{\circ} = 64.8 ^{\circ}[/tex]
Ahora, el ancho del río es:
[tex]CO = tan(\alpha)*CA = tan(64.8)*28.2 = 59.9 m[/tex]
Por lo tanto, el ancho del río es 59.9 metros.
Espero que te sea de utilidad!
I need some help with this one. Please give it a go! Thank you for your time!
Answer:
A) [tex]3x^{2} - x - 4[/tex]
B) [tex]-3x^{2} -4x -5[/tex]
Step-by-step explanation:
determina la pendiente (0,4) (-5,0)
Answer:
Use the slope formula to find the slope
m
.
m
=
4/5
Step-by-step explanation:
in need help
Relationships in Triangles
Answer: x = 17
Step-by-step explanation: Since ray SQ bisects <TSR, we know
that the m<TSQ ≅ m<QSR by the definition of an angle bisector.
So we can setup the equation (3x - 9) + (3x - 9) = 84
using the angle addition postulate.
Simplifying on the left gives us 6x - 18 = 84.
Now add 18 to both sides to get 6x = 102.
Now divide both sides by 6 so x = 17.
Question 2 (5 points) ✓ Saved
Determine the value of x.
3
6
3V3
3V2
Answer:
x = 6 units
Step-by-step explanation:
For θ = 30°, Perpendicular is 3. Hypotenuse is x.
We can use trigonometry to find x.
[tex]\sin(30)=\dfrac{P}{H}[/tex]
[tex]\sin(30)=\dfrac{3}{x}\\\\x=\dfrac{3}{\sin(30)}\\\\x=6[/tex]
So, the value of x is equal to 6 units.
Help,anyone can help me do quetion,I will mark brainlest.
Answer:
Area of a triangle=1/2×base x height
Let y represent the height
50cm²=1/2×20cm×y
50cm²=10cm×y
50cm²/10cm=10cm×y/10cm
5cm=y
therefore the height of the triangle is 5cm
Area of a trapezoid=1/2×a+b×height
let h represent the height
42cm²=(1/2×14cm+7cm)×h
42cm²=1/2×21cm×h
42cm²=21cm×h/2
42cm²×2=21cm×h(cross multiply)
84cm²=21cmh
84cm²/21cm=21cmh/21cm
4cm=h
Therefore the height is 4cm
Which of the following is a geometric sequence
Answer:
B.
Step-by-step explanation:
A geometric sequence is where a number is multiplied or divided by same number
in option be all number ar the power of 2 so the correct answer would be B
HELP ASAP 10 POINTS AND BRAINLIST HURRY AND WILL GIVE 5 STAR AND A THANKS
Evalute f (3) if(x) = -4x+5
Answer: f(3)=-7
Step-by-step explanation:
To evaluate f(3), we want to plug in x=3 into f(x)=-4x+5.
f(3)=-4(3)+5 [multiply]
f(3)=-12+5 [add]
f(3)=-7
Now, we know that f(3)=-7.
lines b and c are parallel. no links.
Answer:
Value of x:
[tex]{ \tt{(13x + 9) + (5x + 9) = 180 \degree}} \\ { \tt{18x + 18 = 180 }} \\ { \tt{18x = 162}} \\ { \tt{x = 9}} \\ [/tex]
Angle m‹6:
[tex]{ \boxed{ \tt{m \angle6 = (5x + 9) \degree}}} \\ { \tt{m \angle6 = (5 \times 9) + 9}} \\ { \tt{m \angle6 = 54 \degree}}[/tex]
Answer:
B. 54 degrees
Step-by-step explanation:
Set up an equation that equals 180 degrees because a line is 180 degrees:
(13x+9)+(5x+9)=180
Solve for x:
x=9
Substitute 9 in 5x+9:
5(9)+9
Solve.
54
Since angle 6 is complementary, it is the same as the 7th angle.
So the answer is B, 54 degrees.
Hope this helps!
which of the following numbers has the least number of positive divisors if a=50^(100) . choose: 1)25a 2)4a 3)3a 4)26a 5)10a
Answer:
the answer would have to be B
Step-by-step explanation:
Which expression is equivalent to (9⋅5)2/3
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\boxed{\dfrac{(9 \times5) 2}{3}}[/tex]
[tex]\huge\boxed{9 \times 5 = \bf 45}[/tex]
[tex]\huge\boxed{ = \dfrac{45(2)}{3}}[/tex]
[tex]\huge\boxed{45(2) = \bf 90}[/tex]
[tex]\huge\boxed{= \dfrac{90}{3}} \\\\\huge\boxed{= \dfrac{90\div3}{3\div3}}\\\\\huge\boxed{= \dfrac{30}{1}}[/tex]
[tex]\huge\boxed{= \bf 30}[/tex]
[tex]\huge\boxed{\rm{Answer: 30}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\huge\boxed{\frak{Amphitrite1040:)}}[/tex]
Answer:
30
Step-by-step explanation:
[tex] \small \sf = \frac{( 9 × 5 ) 2 }{3} \\ [/tex]Multiply 9 and 5 to get 45.
[tex] \small \sf = \frac{ 45 × 2 }{3} \\ [/tex]Multiply 45 and 2 to get 90.
[tex] \small \sf = \frac{ 90 }{3} \\ [/tex]Divide 90 by 3 to get 30.
= 30Una persona va a solicitar un prestamo en el banco de 35,000 pesos, con una tasa de interes del 3% va a pagar en 5 años cual sera el interes que pagara la persona?
Respuesta:
5250
Explicación paso a paso:
Dado que :
Importe del préstamo, principal, p = 35000
Tasa de interés, r = 3% = 0.03
Tiempo, t = 5 años
Usando la fórmula de interés simple:
Interés = principal * tasa * tiempo
Interés = 35000 * 0.03 * 5
Intereses = 5250 pesos
Which inverse trig function could I use to solve this problem?
Answer:
Inverse sine
Step-by-step explanation:
Recall the three common trig ratios
Remember SohCahToa
Sine = Opposite over Hypotenuse (SOH)
Cosine = Adjacent over Hypotenuse (CAH)
Tangent = Opposite over Adjacent (TOA)
Now let's look back at the question
It asks us which inverse function would we use to solve for angle Z
Looking at angle Z, we are given it's opposite side length and the hypotenuse ( longest side ).
When dealing with the opposite side length and hypotenuse we use trig function sine.
When trying to find the angle we use inverse so we would use inverse sine to find the measure of angle A