Answers
[tex]answer \\ b = 15 \\ please \: see \: the \: attached \: picture \: for \: full \: solution \\ hope \: it \: helps[/tex]
The measure of angle b is 15 degrees and this can be determined by using the properties of the isosceles triangle.
Given :
The length of the segment PQ is equal to the length of the segment RQ.The length of the segment PS is equal to the length of the segment RS.The following steps can be used in order to determine the measure of angle b:
Step 1 - According to the given data, it can be concluded that triangle PQR and triangle PSR are isosceles triangles.
Step 2 - Apply the sum of interior angle property on triangle PQR.
[tex]\angle Q + \angle P + \angle R = 180[/tex]
[tex]\angle Q + 2\angle R = 180[/tex]
[tex]2\angle R = 180-60[/tex]
[tex]\angle R = 60^\circ[/tex]
Step 3 - Now, apply the sum of interior angle property on triangle PSR.
[tex]\angle P + \angle S + \angle R = 180[/tex]
[tex]\angle S + 2\angle R = 180[/tex]
[tex]2\angle R = 180-90[/tex]
[tex]\angle R = 45^\circ[/tex]
Step 4 - Now, the measure of angle b is calculated as:
[tex]\angle b = 60-45[/tex]
[tex]\angle b = 15^\circ[/tex]
The measure of angle b is 15 degrees.
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Related Questions
Which expression is equivalent to StartRoot 400h^8 j^4 k^6 EndRoot?
Answers
Answer:
[tex]20h^4j^2k^3[/tex]
Step-by-step explanation:
[tex]\sqrt{400h^8j^4k^6}[/tex]
Since it's square root, you divide the exponents by 2.
[tex]20h^4j^2k^3[/tex]
Answer:
[tex]20h^{4} j^{2} k^{3}[/tex]
Step-by-step explanation:
Find M a
A.
49
B.
35
C.
95
D.
275
Answers
Answer:
85
Step-by-step explanation:
The sum of the angles of a triangle are 180 degrees
A + B+ C = 180
A +72+ 23 = 180
Combine like terms
A + 95 = 180
Subtract 95 from each side
A +95-95 = 180-95
A =85
Solve the following equation for x.
15x^2 – 46x + 16 = 0
Answers
Answer:
X=2/5,8/3
Step-by-step explanation:
Look on Tiger Algebra for step by step. JUst put the problem into g-oogle.
Answer:
X=8/3,2/5
Step-by-step explanation:
The number of newly reported crime cases in a county in New York State is shown in
the accompanying table, where x represents the number of years since 2001, and y
represents number of new cases. Write the linear regression equation that represents
this set of data, rounding all coefficients to the nearest hundredth. Using this
equation, find the projected number of new cases for 2013, rounded to the nearest
whole number.
Answers
The required linear regression equation is [tex]y = 21.6x + 1093.2[/tex].
The projected number of new cases for 2013 is 1352.
Given that,
The number of newly reported crime cases in a county in New York State is shown in the accompanying table,
Where x represents the number of years since 2001, and y represents number of new cases.
We have to determine,
The linear regression equation that represents this set of data.
And Using this equation, find the projected number of new cases for 2013.
According to the question,
The line of best-fit is given by:
[tex]y = bx+a[/tex]
Assume [tex]y = kx + b[/tex]
And,
[tex]k = \dfrac{change \ in \ y} {change \ in \x }\\\\k = \dfrac{1194-1086}{5-0}\\\\k = \dfrac{108}{5}\\\\k = 21.6[/tex]
Then, pass from the point (3, 1158),
[tex]y = kx + b \\\\1158 = 21.6 \times 3 + b \\\\1158 = 64.8 +b \\\\b = 1158 - 64.8\\\\b = 1093.2[/tex]
Then ,
The projected number of new cases - the number of years since 2001
[tex]= 2013-2001 \\\\= 12[/tex]
Therefore,
[tex]y = 21.6\times 12 + 1093.2\\\\y = 259.2 + 1093.2 \\\\y = 1352.4\\\\y = 1352 \ approx[/tex]
Hence , The required linear regression equation is [tex]y = 21.6x + 1093.2[/tex].
And The projected number of new cases for 2013 is 1352.
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omg...I don't get this, pleases help me..anybody??
Answers
Answer:
Step-by-step explanation:
ok so I’m not sure this is right by they didn’t give u. The answer choices to make it easier but I got 0.5 or 1/2 but also if u do 13-8=5 so I would really wouldn’t be so sure on thatPlease answer correctly !!!! Will mark brainliest !!!!!!!!!!!!
Answers
Answer:
at the top of the high slope in the top right sqaure and in the middle of the bottom slope in the bottom left
Step-by-step explanation:
An online retail company tracked total number of purchases monthly. In June 2007 they were 4,500 purchases and in September 2008 there were 5,100. The purchases followed a linear model of the form p = S ( t ) = r t + i where p purchases is in 1000's and t is months where January 2007=0
Answers
The linear model for the number of purchases over time is:
p = 0.043t + 3.726
We have,
Let's assign the variable t as the number of months since January 2007, where t = 0 corresponds to January 2007.
Given data:
June 2007: p = 4,500 (in thousands, so p = 4.5)
September 2008: p = 5,100 (in thousands, so p = 5.1)
We can use these data points to set up a system of equations to solve for the slope (r) and the intercept (i) in the linear model p = rt + i.
Using the data points,
4.5 = r(18) + i (June 2007 corresponds to 18 months after January 2007)
5.1 = r(32) + i (September 2008 corresponds to 32 months after January 2007)
Solving this system of equations will give us the values of r and i.
Subtracting the second equation from the first equation:
4.5 - 5.1 = r(18) - r(32)
-0.6 = -14r
r = -0.6 / -14
r = 0.043
Substituting the value of r into one of the equations:
4.5 = 0.043(18) + i
4.5 = 0.774 + i
i = 4.5 - 0.774
i = 3.726
Therefore,
The linear model for the number of purchases over time is:
p = 0.043t + 3.726
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#SPJ4
Determine the value of
f(2) when
f(x)=x² - 5x+2
Answers
Answer:
-4
Step-by-step explanation:
Substitute [tex]x = 2[/tex] in to the function
[tex]f(2) = 2^2 -5(2) + 2[/tex]
= -4
find the value of x
Answers
Answer:
x= -12
Step-by-step explanation:
∠2= (180°-36°)÷2 (base ∠s of isos. △)
∠2= 72°
m∠2= x +84
72= x +84
x= 72 -84
x= -12
Answer:
The value if x is -12.
Step-by-step explanation:
Given that isosceles triangle have a same pair of angle. So in order to find the angles, you have to subtract it from 180° and 36°.
[tex]θ + θ + 36 = 180[/tex]
[tex]2θ = 180 - 36[/tex]
[tex]2θ = 144[/tex]
[tex]θ = 144 \div 2[/tex]
[tex]θ = 72[/tex]
Next, the expression for ∠2 is x + 84 which is also 72°. So you have to solve it by comparing :
[tex]x + 84 = 72[/tex]
[tex]x = 72 - 84[/tex]
[tex]x = - 12[/tex]
please help with question tagged below
Answers
Answer:
1/3
Step-by-step explanation:
3×x=1
x= 1/3
X = 4/5 (x+10)
Find x
Answers
Answer:
[tex]x=40[/tex]
Step-by-step explanation:
[tex]x=\frac{4}{5}\left(x+10\right)\\\mathrm{Expand\:}\frac{4}{5}\left(x+10\right):\quad \frac{4}{5}x+8\\\mathrm{Apply\:the\:distributive\:law}:\quad \:a\left(b+c\right)=ab+ac\\a=\frac{4}{5},\:b=x,\:c=10\\=\frac{4}{5}x+\frac{4}{5}\cdot \:10\\=\frac{4}{5}x+10\cdot \frac{4}{5}\\10\cdot \frac{4}{5}=8\\10\cdot \frac{4}{5}\\\mathrm{Multiply\:fractions}:\quad \:a\cdot \frac{b}{c}=\frac{a\:\cdot \:b}{c}\\=\frac{4\cdot \:10}{5}\\\mathrm{Multiply\:the\:numbers:}\:4\cdot \:10=40\\=\frac{40}{5}[/tex]
[tex]\mathrm{Divide\:the\:numbers:}\:\frac{40}{5}=8\\=\frac{4}{5}x+8\\x=\frac{4}{5}x+8\\\mathrm{Subtract\:}\frac{4}{5}x\mathrm{\:from\:both\:sides}\\x-\frac{4}{5}x=\frac{4}{5}x+8-\frac{4}{5}x\\Simplify\\x-\frac{4}{5}x=\frac{4}{5}x+8-\frac{4}{5}x\\\mathrm{Simplify\:}x-\frac{4}{5}x:\quad \frac{1}{5}x\\x-\frac{4}{5}x\\\mathrm{Factor\:out\:common\:term\:}x\\=x\left(1-\frac{4}{5}\right)\\1-\frac{4}{5}=\frac{1}{5}\\=\frac{1}{5}x\\1-\frac{4}{5}[/tex]
[tex]\mathrm{Convert\:element\:to\:fraction}:\quad \:1=\frac{1\cdot \:5}{5}\\=\frac{1\cdot \:5}{5}-\frac{4}{5}\\\mathrm{Since\:the\:denominators\:are\:equal,\:combine\:the\:fractions}:\quad \frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}\\=\frac{1\cdot \:5-4}{5}\\1\cdot \:5-4=1\\1\cdot \:5-4\\\mathrm{Multiply\:the\:numbers:}\:1\cdot \:5=5\\=5-4\\\mathrm{Subtract\:the\:numbers:}\:5-4=1\\=1\\=\frac{1}{5}\\=\frac{1}{5}x\\\mathrm{Simplify\:}\frac{4}{5}x+8-\frac{4}{5}x:\quad 8\\\frac{4}{5}x+8-\frac{4}{5}x[/tex]
[tex]\mathrm{Add\:similar\:elements:}\:\frac{4}{5}x-\frac{4}{5}x=0\\=8\\\frac{1}{5}x=8\\\mathrm{Multiply\:both\:sides\:by\:}5\\5\cdot \frac{1}{5}x=8\cdot \:5\\\mathrm{Simplify}\\x=40[/tex]
Answer:
40
Step-by-step explanation:
x+10= x 5/4
x +10= 5x/4
4x+40= 5x
40= x
x=40
he factorization of x2 + 3x – 4 is modeled with algebra tiles. An algebra tile configuration. 2 tiles are in the Factor 1 spot: 1 is labeled + x, 1 is labeled negative. 5 tiles are in the Factor 2 spot: 1 is labeled + x and 4 are labeled +. 10 tiles are in the Product spot: 1 is labeled + x squared, 1 is labeled negative x, the 4 tiles below + x squared are labeled + x, and the 4 tiles below the negative x tiles are labeled negative. What are the factors of x2 + 3x – 4? (x + 4) and (x – 4) (x + 3) and (x – 4) (x + 4) and (x – 1) (x + 3) and (x – 1)
Answers
Answer:
x-1 and x+4. srry if i am wrong
Step-by-step explanation:
2 Points
Is either x = 20 or x = 12 a solution to x-8 = 4?
A. x = 20 is a solution, but x= 12 is not.
O B. Neither is a solution.
O c. x = 12 is a solution, but x = 20 is not.
O D. They are both solutions.
Answers
Find the slope of the line that passes through (10, 8) and (1, 4).
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answers
Explanation:
8-4 = 4 over 10-1 = 9
Answer:
Step-by-step explanation:
4-8 = -4
1-10 = -9
-4/-9 simplifies to 4/9
Dream Studio offers 5 music lessons for $60. Fox Studio offers 8 music lessons for $72. What is the cost per lesson at each studio? What studio offers a better deal? Why?
Answers
Dream Studio offers music lessons at $12 per lesson. Fox Studio offers music lessons at $9 per lesson. The better deal here would be Fox Studio. This is because Fox Studio offers cheaper lessons. For eight lessons at Dream Studio it costs $96, where as eight lessons at Fox Studio costs only $72.
Explanation:
Step 1 - Find the cost per lesson at Dream Studio
60 / 5 = 12
So, $12 per music lesson at Dream Studio.
Step 2 - Find the cost per lesson at Fox Studio
72 / 8 = 9
So, $9 per music lesson at Fox Studio.
Step 3 - Find out which offers a better deal
•Dream Studio = $96 for eight music lessons
• Fox Studio = $72 for eight music lessons
11m-14<7m+14 work out
Answers
Step-by-step explanation:
11m - 7m < 14 + 14
4m < 28
m < 28 / 4
m < 7
How many real solutions does the equation 8x^2 − 10x + 15 = 0 have?
Answers
Answer:
It has no real solutions.
Step-by-step explanation
Once you calculate the discriminant, D= (-10)^2 -4 (8)(15), you simplify the expression to get D= -380, which has no real solutions.
Answer:
No solutions
Step-by-step explanation:
Quadratic equations are in the form of ax^2+bx+c, so a = 8, b= -10, and c = 15.
Use b^2 - 4ac to find the discriminant.
-10^2 - 4(8)(15) = -580
If a discriminant is < 0 then there are no real solutions to a quadratic equation. -580 < 0
Therefore, there are no real solutions
Can someone plz help me out! With this problem I really need help ASAP! I will mark you as brainiest! Help help ASAP!
Answers
Answer:
Complement 60 Supplement 150
Step-by-step explanation:
the complementary angle is an angle that is added to your original angle of 30° to get 90°
Complementary Angle = 90 - 30°
Complementary Angle = 60°
The supplementary angle is an angle that is added to your original angle of 30° to get 180°
Supplementary Angle = 180 - 30°
Supplementary Angle = 150°
What is the solution to this equation?
x + 13 = 34
A. X = 47
B. x= 19
o
C. x = 27
D. x= 21
SUBM
Answers
d. 21
Explanation:
Step 1 - Subtract 13 from both sides
x + 13 = 34
x + 13 - 13 = 34 - 13
x = 21
Answer:
21
Step-by-step explanation:
since we are looking for the value of x, we make it the subject of the formula(stand alone) and to do that + 13 would have to cross over the equality sign.when a positive number crosses over the equality sign it changes to a negative number .
Therefore,x +13=34
x=34 -13
x=21(d)
what is the area of this circle?
Answers
Answer:
69.08
Step-by-step explanation:
Area equals pi r times 2
A equals 3.14 times 11 times 2
Step-by-step explanation:
area of circle = pi r^2
area = 22/7 × 11yd× 11yd
area = (2662yd^2)/7
area = 380.3 yd^2
Quien me puede dar.El resultado por favor 4. Resuelvo las siguientes situaciones problemáticas. En el depósito de materiales "Che rogarã" se venden tejuelones en: • paquetes de 15 tejuelones. • paquetes de 50 tejuelones. • y sueltos hasta 9 tejuelones. a. Estela pidió 138 tejuelones y le entregaron: 2 paquetes de 50, también 2 paquetes de 15 y 3 sueltos, ¿Cuántos tejuelones le entregaron a Estela? ¿Cuántos tejuelones es la diferencia para que Estela reciba todo el pedido realizado? Datos Operación Respuesta: b. Don Antonio el constructor de la comunidad pidió: 3 paquetes de 50 tejuelones, también 4 paquetes de 15 tejuelones y 7 sueltos. ¿Cuántos tejuelones llevó Don Antonio? Datos solu
Answers
Answer:
a. A Estela le entregaron (100 + 30 + 3) tejuelones = 133 tejuelones y aún necesita (138 - 133) tejuelones = 5 tejuelones para que reciba todo el pedido. b. Don Antonio llevó (150 + 60 + 7) tejuelones = 217 tejuelones.
Step-by-step explanation:
Parte a¿Cuántos tejuelones le entregaron a Estela? ¿Cuántos tejuelones es la diferencia para que Estela reciba todo el pedido realizado?
Datos
Pedido de Estela:
138 tejuelones.
Le entregaron:
Dos (2) Paquetes de 50 tejuelones.
Dos (2) Paquetes de 15 tejuelones.
Tres (3) Sueltos.
Operación
Para determinar cuántos tejuelones le entregaron a Estela, efectuamos las siguientes operaciones para determinar el número de tejuelones que le entregaron:
Dos (2) Paquetes de 50 tejuelones
2 * 50 tejuelones = 100 tejuelones
Dos (2) Paquetes de 15 tejuelones
2 * 15 tejuelones = 30 tejuelones
Es decir, multiplicamos el número de paquetes por la cantidad de tejuelones que trae cada uno.
Ahora sumamos el total de ambas cantidades y le adicionamos los tres (3) tejuelones sueltos:
(100 + 30 + 3) tejuelones = 133 tejuelones.
Pero Estela pidió 138 tejuelones, así que aún necesita:
(138 - 133) tejuelones = 5 tejuelones para que reciba todo el pedido realizado.
Respuestas
¿Cuántos tejuelones le entregaron a Estela?
A Estela le entregaron (100 + 30 + 3) tejuelones = 133 tejuelones.
¿Cuántos tejuelones es la diferencia para que Estela reciba todo el pedido realizado?
Estela aún necesita (138 - 133) tejuelones = 5 tejuelones para que reciba todo el pedido.
Parte b¿Cuántos tejuelones llevó Don Antonio?
Datos
Pedido de Don Antonio
Tres (3) paquetes de 50 tejuelones.
Cuatro (4) paquetes de 15 tejuelones.
Siete (7) tejuelones sueltos.
Operaciones
Para determinar cuántos tejuelones le entregaron a Don Antonio, debemos multiplicar el número de paquetes por la cantidad de cada uno y sumar los siete (7) tejuelones sueltos, es decir, seguimos el mismo procedimiento de la pregunta anterior.
Tres (3) paquetes de 50 tejuelones
3 * 50 tejuelones = 150 tejuelones.
Cuatro (4) paquetes de 15 tejuelones
4 * 15 tejuelones = 60 tejuelones.
Ahora sumamos estas cantidades y le adicionamos los siete (7) tejuelones sueltos:
(150 + 60 + 7) tejuelones = 217 tejuelones.
Respuesta
¿Cuántos tejuelones llevó Don Antonio?
Entonces, considerando los resultados anteriores, tenemos que Don Antonio llevó (150 + 60 + 7) tejuelones = 217 tejuelones.
FIND THE MISSING NUMBER!
8, 18, 11, 15, 5, 4, 14, 9, 19, 1, 7, 17, 6, 16, ?, ?, ?, ?, ?,
Answers
Answer:
Step-by-step explanation:
10,12,13,20, 21,
Gizela teaches 5 yoga classes that are each 3/4 hour. Use the drop down menu to complete the equation below to find the number of hours Gizela teaches yoga
5 classes _______ 3/4 hour per class = / hours
Answers
Answer:
3.75 hours (3 hours and 45 minutes)
Step-by-step explanation:
5 times 3/4 = 3.75
what is the definition of congruent
Answers
Answer:
more ... The same shape and size, but we are allowed to flip, slide or turn. In this example the shapes are congruent (you only need to flip one over and move it a little). Angles are congruent when they are the same size (in degrees or radians). Sides are congruent when they are the same length.
Step-by-step explanation:
happy to help ya:)
Answer:
Congruent means two or more objects that are the same. All angles and sides have to be the same length and measure.
Step-by-step explanation:
congruent means equal two
Hi, you can get 15 points if you answer this...
Answers
Answer:
Si
Step-by-step explanatio:
Answer:
idk
Step-by-step explanation:
hi
It costs $2.80 to make a sandwich at the local deli shop. To make a profit, the deli sells it at a price that is 170% of the cost. The sandwich sells for $___. (Make sure to enter the answer as a decimal number only. Do not enter special characters such as the dollar symbol.)
Answers
Answer:
$4.76
Step-by-step explanation:
It costs $2.80 to make a sandwich at the local deli shop and the deli sells it at a price that is 170% of the cost.
We have to find 170% of the cost of making each sandwich ($2.80):
170/100 * 2.80 = $4.76
The sandwich sells for $4.76
Answer:
ben
Step-by-step explanation:
Hello i really need help
Answers
Step-by-step explanation:
The equation is
X + 10205 = 21894
X = 21894 - 10205
X = 11689
6.8x+9.3 = -9.4+3,4(2-5x)
6.8x+9.3 = -9.4+6.8 -17
6.8x+9.3 = -2.6-17x
Answers
Answer:
x = -0.5
Step-by-step explanation:
From your last step:
6.8x + 9.3 = -2.6 - 17x
We have two terms with x in them on different sides of the equation, so we want to bring the 'x terms' over to the same side.
Add 17x to both sides of the equation.
6.8x + 17x + 9.3 = -2.6
Collect like terms
23.8x + 9.3 = -2.6
Subtract 9.3 from both sides
23.8x = -2.6 - 9.3
23.8x = -11.9
Divide both sides by 23.8
x = -0.5
Find the area of the figure. If needed, round to the nearest tenth.
Isosceles trapezoid
An isosceles trapezoid with bottom base length of 8 feet, top base of 4 feet, and height of 3 feet.
a.
36 sq. ft
b.
18 sq. ft
c.
15 sq. ft
d.
16 sq. ft
Please select the best answer from the choices provided
Answers
Answer:
[tex]18 \:ft^2[/tex]
Step-by-step explanation:
The area of a trapezoid.
[tex](a+b)h\frac{1}{2}[/tex]
[tex](8+4)3 \times \frac{1}{2}[/tex]
[tex](12)3 \times \frac{1}{2}[/tex]
[tex]36 \times \frac{1}{2}[/tex]
[tex]=18[/tex]
what we will call the complete path of the circle
Answers
Answer:
True.
Step-by-step explanation:
The circumference is the perimeter of a circle. The complete path around the circle is called the circumference.
Answer:
True
The distance around the circle makes up the circumference.
