Answers
Answer:
QT = 45
Step-by-step explanation:
ST = 65
SP = 26
RQ = 30
QT = 4x - 3
Given that ∆STR is similar to ∆PTQ, therefore:
[tex] \frac{ST}{PT} = \frac{RT}{QT} [/tex]
Plug in the values
[tex] \frac{65}{65 - 26} = \frac{30 + (4x - 3)}{4x - 3} [/tex]
Solve for x
[tex] \frac{65}{39} = \frac{30 + 4x - 3)}{4x - 3} [/tex]
[tex] \frac{5}{3} = \frac{27 + 4x}{4x - 3} [/tex]
Cross multiply
[tex] 5(4x - 3) = 3(27 + 4x) [/tex]
[tex] 20x - 15 = 81 + 12x [/tex]
Collect like terms
[tex] 20x - 12x = 81 + 15 [/tex]
[tex] 8x = 96 [/tex]
Divide both sides by 8
[tex] x = \frac{96}{8} [/tex]
[tex] x = 12 [/tex]
✅QT = 4x - 3
Plug in the value of x
QT = 4(12) - 3 = 48 - 3
QT = 45
Related Questions
In the figure below, m angle WXZ=113°, and m angle2 is 3° more then m angle1 Find m angle1
Answers
Answer:
m∠1 = 55° ; m∠2 = 58°
Step-by-step explanation:
Let m∠1 = x° , then m∠2 = x° + 3°
m∠1 + m∠2 = 113°
x° + x° + 3° = 113°
2x + 3 = 113
2x = 110
x = 55°
m∠1 = 55° and m∠2 = 58°
The value of m∠[tex]1[/tex] is [tex]55[/tex]° and m∠[tex]2[/tex] is [tex]58[/tex]°
In the given figure m∠WXZ = [tex]113[/tex]° and m∠[tex]2[/tex] is [tex]3[/tex]° more than m∠[tex]1[/tex].
What is angle?
An angle is formed when two rays are joined together at a common point.
Now,
Let m∠[tex]1[/tex] = x° and m∠[tex]2[/tex] = x° + 3°
According to given figure;
m∠[tex]1[/tex] + m∠[tex]2[/tex] = 113°
x° + x° + 3° = 113°
2x° + 3° = 113°
2x° = 110°
x° = 55°
Hence, the value of m∠[tex]1[/tex] = x° = 55° and m∠[tex]2[/tex] = 55° + 3° = 58°
Learn more about the Angle visit:
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Which has the lowest minimum temperature between -6, 4, -7, -1, 5, -3
Answers
Answer:
-7
Step-by-step explanation:
Help Asap will mark brainliest! Prove polygon ABCDEF and polygon A′B′C′D′E′F′ are congruent or not congruent.
Answers
Answer:
They are congruent im just not sure how to prove it... maybe by showing the transformations that got it to that point?
Step-by-step explanation:
sorry ):
Answer:
They are congruent because they are the same size and shape.
Step-by-step explanation:
simplify 4 ^ 9 x 4 ^ 3
Answers
1. 4 ^ 9 x 4 ^ 3
2. 4^9+3
answer: 4^12
Good luck!
Which statement is true? Select all that apply.
Answers
The true statements are:
1) The relationship is proportional
2) y = -3x is equation of the line.
3) The slope is negative.
What is a slope?In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction
A graph of the line is given.
If a line passes through two points (x₁ ,y₁) and (x₂, y₂) ,
then the equation of line is
y - y₁ = (y₂- y₁) / (x₂ - x₁) x (x - x₁)
And line passes through the points (4, -12) and (6, -18).
To find the slope;
m = (y₂- y₁) / (x₂ - x₁)
m = -3
The slope is negative.
Then the equation of the line is,
y + 12 = -3(x -4)
y + 12 = -3x + 12
y = -3x
This equation shows the proportional relationship.
Therefore, all the required values are given above.
To learn more about the slope;
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Write an equation in point-slope form and slope-intercept form for each line.
the line passes through (1, -1) and (2, 0)
Answers
Answer:
Step-by-step explanation:
Answer:
I think its the one w -1= -1
Step-by-step explanation:
becuase 2 minus 1 is -1 nd -1 minus 0 is -1 i could be wrong
1) find the missing side of each triangle
A) 5 km
C) 10 km
B) 13 km
D) 12 km
Answers
Answer:
c
S1tep-by-step explanation:
8x8=64
6x6=36
64+36=100
10x10=100
x=10
Once you add 8^2 +6^2 you get 100=c^2
To get C on its own you need to get rid of the square so you do to opposite of squaring which is square rooting. The the square root of 100 is 10
PLZ HELP ME NOW!!!!! I WILL GIVE BRAINLIEST!!!
combine like terms
3a + 7 - 11 - 9a
Answers
Answer:
-6a - 3
Step-by-step explanation:
hope this helps
Answer:
11a -18
Step-by-step explanation:
Inverse 9A make it to -9A take it to the other side and inverse +7 to -7 and take it to below -11 so -11 -7 is -18
Given g(x)=-x-4, solve for x when g(x)=10
Answers
Answer:
x= -14
Step-by-step explanation:
Answer:
14
Step-by-step explanation:
g(x)=x-4
g(x)=10 = g(x)=x-4 /+4
g(x)=14
b: 8/5 + 61/2=
Please help me solve
Answers
Answer:
32.1
Step-by-step explanation:
Which side lengths form a right triangle?
Choose all answers that apply:
Answers
Answer:
C
Step-by-step explanation:
An object's speed decreases by 5% for each minute that it is slowing down. Which of the
following is closest to the percent that its speed will decrease over half-an hour?
Answers
Answer: 79%
Step-by-step explanation:
min —> 30 mins because half an hour is 30 mins.
(1 - 0.5)^30 = .214638..
1 - .214638 = .78536
round that to the closest percent equals 79%
30% × 750 =
(30 ÷ 100) × 750 =
(30 × 750) ÷ 100 =
22,500 ÷ 100 =
225;
Answers
Answer:
1.250
2.225
3.225
4.225
i need help on this please
Answers
Answer:
1 solution
Step-by-step explanation:
If you solve for the system of equations you get (0,1) or x=0; y=1. This leads us to select B: One Solution as our answer choice.
If you can please give my answer the brainliest that would be much appreciated. Thanks!
Write the equation of the line that passes through the points (2,5) and (2, -6). Put
your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.
Answers
Harper simplemente encendió una vela nueva y luego la dejó arder hasta la nada. La longitud de la vela que permanece sin quemar, en pulgadas, se puede modelar mediante la ecuación L = 15-1.5t, L = 15−1.5t, donde tt representa el número de horas desde que se encendió la vela. ¿Cuál es la pendiente de la ecuación y cuál es su interpretación en el contexto del problema?
Answers
Answer:
La pendiente de la ecuación es -1.5 y su interpretación en el contexto del problema es que en este caso este valor indica que la longitud L de la vela luego de t horas desde que se encendió la decrece en 1.5 unidades por cada hora.
Step-by-step explanation:
La función lineal se define por la ecuación
f(x) = mx + b
o
y = mx + b
donde m es la pendiente de la recta y b es la ordenada al origen.
La gráfica de una función lineal es siempre una recta.
Como se mencionó, la m es la pendiente de la recta. La pendiente es la inclinación con respecto al eje x, que es el eje de abscisas.
La pendiente m significa que si aumentamos la x en una unidad, la y aumenta en m unidades. Si m es positiva (m > 0), entonces la función es creciente. En cambio, si la m es negativa (m < 0), entonces la función es decreciente.
En este caso, siendo L=1.5 - 1.5t y comparando con la expresión y=mx + b, podes observar que el valor de la pendiente m es -1.5. Como m es un número negativo, entonces se trata de una función decreciente. En este caso este valor de pendiente indica entonces que la longitud L de la vela luego de t horas desde que se encendió la decrece en 1.5 unidades por cada hora.
La pendiente de la ecuación es -1.5 y su interpretación en el contexto del problema es que en este caso este valor indica que la longitud L de la vela luego de t horas desde que se encendió la decrece en 1.5 unidades por cada hora.
find the line of reflection if the image of (-5, -2) is each of the following
a. (5, -2) |_____|
b. (2, 5) |_____|
c. (-5, 0) |_____|
d. (1, -2) |_____|
Answers
Answer:
A: -5, 2
B: -2, -5
C: 5, 0
D -1, 2
Hope this helps!
For f(x) = -3x + 19. what is the value of x for which f(x) = 4?
X=-5
X = -1
X=5
X=6
Answers
f(x) = -3(5) + 19
f(x)= -15 + 19
f(x) = 4
22. In the diagram below WXZ is a right angle. If the measure of WXV is 11 more than there times the measure of WXY and the measure of YXV = 139, find the measure of YXZ
Answers
Answer:
9(331)-123=1
Step-by-step explanation:
2. In the diagram below WXZ is a right angle. If the measure of WXV is 11 more than there times the measure of WXY and the measure of YXV = 139, find the measure of YXZ
Find the m∠ULE in the triangle below.
please
Answers
Answer:
m∠ULE = 60°
Step-by-step explanation:
To find the measure of ∠ULE we will use the property of exterior angle of a triangle.
Since, measure of an exterior angle of a triangle is equal to the sum of two opposite interior angles.
m∠LUR = m∠LEU + m∠ULE
109° = 49° + m∠ULE
m∠ULE = 109 - 49
= 60°
Therefore, measure of angle ULE is 60°.
Find f. Write your answer as a whole number or a decimal. DO NOT ROUND
Answers
Answer:
f = 8 feet
Step-by-step explanation:
In Δ EBC
∵ DF ⊥ BE
∵ CB ⊥ BE
∴ DF // CB
∵ D is the mid-point of CE
∵ DF // CB
∴ F is the mid-point of EB
∵ DF joining the mid-points of EB and EC
∴ DF = [tex]\frac{1}{2}[/tex] CB
∵ CB = f and DF = 4 ft
∴ 4 = [tex]\frac{1}{2}[/tex] f
→ Multiply both sides by 2
∴ 8 = f
∴ The value of f is 8 ft
please help me find the answer
Answers
Answer: x=2
Step-by-step explanation:
What you do is you plug the y equation on top and you substitute it in for the y on the equation below. You have -3x=-2(-5x+8)-10
Can someone explain factoring expressions to me
Answers
Answer:
Factoring: Finding what to multiply together to get an expression. It is like "splitting" an expression into a multiplication of simpler expressions.
Hope it helps. have a wonderful thanksgiving day! :)
how to expand 2(x+7)
Answers
Answer:
(2x + 2 x 7)
Step-by-step explanation:
what is the answer for this -4(x-1)+6x=2(17-x)
Answers
Answer:
15/2 or 7.5
Step-by-step explanation:
-4(x-1)+6x=2(17-x) PEDMAS
-4x+4+6x=34-2x combine terms
2x+4=34-2x subtract 4 and add 2x
4x=30 divide by 4
x=15/2
Answer:
Step-by-step explanation:
-4x + 4 + 6x = 34 - 2x
Solving like terms
2x + 4 = 34 - 2x
Bringing like terms on one side
2x + 2x = 34 - 4
4x = 30
x = 30/4
x = 15/2
5,-15,35,55....
What is the common difference
Answers
Answer:
The common difference is -20
Step-by-step explanation:
Simply subtract 5 from -15
-15-5 = -20
In a class election, 30 students voted for Emerald and 15 students voted for Beau. What percent of students voted for Beau?
Answers
Answer:
1/3
Step-by-step explanation:
The total amount of students is 45. 1/3 of 45 is 15
Answer:
About 33.3% of students voted for Beau.
What is the binary number for 4
Answers
Step-by-step explanation:
[tex]4=2^2=\bold1\cdot2^2+\bold0\cdot2^1+\bold0\cdot2^0\\\\4_{10}=\bold{100}_2=0100_2[/tex]
X-7
4x + 1
ngle.
6x + 2
Find the perimeter
Answers
Answer:
ANSWER
GIVEN:
OA= 3x-1 , OC= 5x-3, OD= 6x-5 , BO = 2x+1
AO/OC = BO/OD
[The diagonals of a Trapezium divide each other proportionally]
(3x-1)/(5x-3) =( 2x+1)/(6x-5)
(3x-1) (6x-5) = (5x-3) ( 2x+1)
3x(6x-5) -1 (6x-5) = 2x(5x-3)+1(5x-3)
18x² -15x -6x +5 = 10x² -6x +5x -3
18x² -21x +5 = 10x² - x -3
18x² -10x² -21x + x +5+3 =0
8x² - 20x +8= 0
4(2x² -5x +2) = 0
2x² -5x +2 = 0
2x² -4x -x +2= 0
[By factorization]
2x(x-2) -1(x-2)= 0
(2x-1) (x-2) = 0
(2x-1) = 0 or (x-2) = 0
x = ½ or x = 2
If we put x= ½ in OD , The value of OD is negative.
Hence, the value of is x = 2.
Step-by-step explanation:
1 =29 and 2=44...............
A triangle has side lengths measuring 20 cm, 5 cm, and n cm. Which describes the possible values of n?
5 < n < 15
5 < n < 20
15 < n < 20
15 < n < 25
Answers
Answer: 15 < n < 25
Step-by-step explanation: this was the answer on edge
Answer: Option 4 or D. 15 < n < 25
Step-by-step explanation: Trust Me!
If you are working on Edge the answer is correct. The proof is down below. I hope someone finds this helpful.
If you found any of my answers helpful please like and choose my answer as Brainliest. I would appreciate it! Good luck everyone! :)