Answer:m
Step-by-step explanation:m
The sides OP and RO of triangle POR are produced to points S and T respectively. If ∠SPR = 145° and ∠POT = 115° , find ∠PRO
Answer:
[tex]\angle PRQ = 80[/tex]
Step-by-step explanation:
Given
[tex]\angle SPR = 145^o[/tex]
[tex]\angle POT = 115^o[/tex]
See attachment
Required
Find [tex]\angle PRO[/tex]
First, calculate [tex]\angle RPO[/tex]
[tex]\angle RPO + \angle SPR = 180[/tex] --- angle on a straight line
So, we have:
[tex]\angle RPO + 145 = 180[/tex]
Collect like terms
[tex]\angle RPO = 180 - 145[/tex]
[tex]\angle RPO = 35[/tex]
Next, calculate PQR
[tex]\angle POR + \angle POT = 180[/tex]
So, we have:
[tex]\angle POR + 115 = 180[/tex]
Collect like terms
[tex]\angle POR = 180-115[/tex]
[tex]\angle POR = 65[/tex]
So, PRO is calculated as:
[tex]\angle PRO + \angle POR + \angle RPO = 180[/tex] --- angles in a triangle
So, we have:
[tex]\angle PRO + 65 + 35= 180[/tex]
[tex]\angle PRO + 100= 180[/tex]
Collect like terms
[tex]\angle PRO = 180-100[/tex]
[tex]\angle PRO = 80[/tex]
how do I solve this pls help khan academy is no smart
Answer:
3. If that doesn't work, try 1/3
Step-by-step explanation:
Figure A has a length of 9 and figure B has a length of 3. 9 divided by 3 is 3.
[tex]\text{Solve for 'x':}\\\\3(x+1)=12+4(x-1)[/tex]
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]x = -5[/tex]
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\boxed{\text{Solving for 'x'...}}\\\\3(x+1)=12+4(x-1)\\----------\\\rightarrow 3x + 3 = 12 + 4x - 4\\\\\rightarrow 3x + 3 = 12 -4+4x\\\\\rightarrow 3x + 3 = 8 + 4x\\\\\rightarrow 3x + 3 = 4x + 8\\\\\rightarrow3x + 3 -3 = 4x + 8 - 3\\\\\rightarrow 3x = 4x + 5\\\\\rightarrow 3x - 4x = 4x - 4x + 5\\\\\rightarrow -x = 5\\\\\rightarrow \frac{-x=5}{-1}\\\\\rightarrow \boxed{x = -5}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Answer:
x=-5Step-by-step explanation:
3(x+1)=12+4(x-1)
3(x+1)=8+4x
3x+3=8+4x
3x+3−4x=8
-x+3=8
-x=8-3
-x=5
-x(-1)=5(-1)
-x(-1)=-5
x=-5
Mackenzie is designing a rectangular greenhouse. Along one wall is a 7-foot storage area and 5 sections for different kinds of plants. On the opposite wall is a 4-foot storage area and 6 section for plants. All the plant sections are equal length. What is the length of the wall?
Answer:
3 ft
Step-by-step explanation:
4 + 6x = 7 + 5x
6x - 5x = 7 - 4
x = 3
Which are the
solutions of x2 = -7x - 8?
Answer: I think the answer is D
Step-by-step explanation:
Answer:
D is the answer (The last option)
Step-by-step explanation:
You are designing a rectangular fenced outdoor space for your pet rabbit. Fencing
material costs $15.25 per metre. You have $200. What dimensions give the greatest
area, to the nearest tenth of a metre? Include a sketch of the fenced area.
Answer:
2.6 x 5
Step-by-step explanation:
2.6 x 5 is 13 x 15.25 is 198.25 and you can't go any higher than that or it will go over 200 so the dimensions that give the greatest area would be 2.6 and 5, good luck
QUICK HELP PLEASE! THANK YOU SO MUCH
When the shown net containing the letters SPROUT is
folded into a cube, which letter is on the side opposite the side labeled R?
Answer:
T
fold it up =t
Step-by-step explanation:
Find the missing variables
Answer:
90
Step-by-step explanation:
Answer:
[tex] \cos(60) = \frac{9}{a} \\ \frac{1}{2} = \frac{9}{a} \\ a = 18 \\ \\ \\ \tan(60) = \frac{b}{9} \\ \sqrt{3} = \frac{b}{9} \\ b = 9 \sqrt{3} [/tex]
I hope I helped you ^_^
question on image
....
Answer:
1/5
Step-by-step explanation:
8/40->4/20->2-10->1/5
Hope this helps!
Answer:
1\5
Step-by-step explanation:
8/40 = 4/20 = 2/10 = 1/5
Explain the relationship of the meaning of the word isometric to the properties of an isometric or rigid transformation
Step-by-step explanation:
The iso parts of isometric means same, and It is similar becuase rigid trtransformation and the metric parts means measure. Basically isometric means same measure. Rigid transformation preserve "same measures" like angles and side lengths.
The ages of several trees in a park are shown below:
2 years, 28 years, 2 years, 20 years, 22 years
What is the mean age of these trees?
56 years
12 years
14.8 years
26 years
Answer:
C or 14.8
Step-by-step explanation:
You just find the mean.
Arrange the numbers, add them then divide by the amount of numbers.
Hope it helps c:
I need help on this this is very hard. I need the answer right now. Wrong answer=report
ahla
S : Assignment
乡,一石
Answer
what's the question?
Step-by-step explanation:
looks like your question is missing information
solve the linear equation
x/2-3x/4+5x/8=9
I need the full solution X by 2 minus 3x by 4 + 5x by 8 equal to 9
Answer:
24
Step-by-step explanation:
x/2-3x/4+5x/8=9
Or,(4*x-2*3x+5x)/8=9. (taking LCM)
Or, (4x-6x+5x)/8=9
Or, 3x=9*8
Or, x = 72/3
so, x=24.
pls pls help help help
Answer:
the diameter form for your help today with the app
Step-by-step explanation:
pa brain less
Sarah used 3/4 pound of blueberries to make 2/3 cup of jam. How many pounds of blueberries are needed per cup of jam?
3/4÷ 2/3= 3/4*3/2= 9/8= mixed fraction 1 1/8 pounds.
Find the equation of the line.
Use exact numbers.
y= x+
Câu 1: Giá trị
2
3
2020 -5 lim
- 2020
n
n n
bằng:
A.
2.
B.
.
C.
0.
D.
2
.
3
Answer:
i dont understan your language plz speak in englosh
Suppose you invest $1800 at an annual interest rate of 3.3% compounded
continuously. How much will you have in the account after 1.5 years?
Answer:
$1,890
Step-by-step explanation:
To find the amount, we use the compound interest formula here
we have this as;
A = P(1 + r/n)^nt
Where ;
P is the amount invested which is $1,800
r is the interest rate which is 3.3% annually (3.3/100 = 0.033)
n is the number of times yearly interest is compounded which is 1 time yearly
t is the number of years which is 1.5 years
substituting these values, we have
A = 1800( 1 + 0.033)^(1 * 1.5)
A = 1,890
en una carrera de 5 vueltas de la F1 online el jugador 1 consigue un tiempo de 2,32 minutos y el jugador 2 consigue 18 segundos mas que el jugador 1 en la segunda vuelta el jugador 1 obtiene un tiempo de 2,52 minutos y el jugador 2 20 segundos menos que el jugador 1, en la tercera vuelta ambos jugadores consiguen un tiempo de 2,18 minutos ¿Cual es la diferencia en el tiempo total de la carrera entre los jugadores 1 y 2?
Answer:
La diferencia del tiempo total de carrera entre el jugador 1 y 2 es 0.0[tex]\overline 3[/tex] minutos
Step-by-step explanation:
Primera vuelta;
El tiempo de vuelta del jugador 1 = 2,32 minutos
El tiempo de vuelta del jugador 2 = 18 segundos más que el del jugador 1
Por lo tanto, el tiempo de vuelta del jugador 2 = (2,32 + 18/60) minutos = 2,62 minutos
Segunda vuelta
El tiempo de vuelta del jugador 1 = 2,52 minutos
El tiempo de vuelta del jugador 2 = 20 segundos menos que el del jugador 1
Por lo tanto, el tiempo de vuelta del jugador 2 = (2.52 - 20/60) minutos = 2.18[tex]\overline 6[/tex] minutos
Tercera vuelta
El tiempo de vuelta del jugador 1 = 2,18 minutos
El tiempo de vuelta del jugador 2 = 2,18 minutos
El tiempo de vuelta total del jugador 1 = (2,32 + 2,52 + 2,18) minutos = 7,02 minutos
El tiempo de vuelta total del jugador 2 = (2,62 + 164/75 + 2,18) minutos = 524/75 minutos = 6.98[tex]\overline 6[/tex] minutos
La diferencia del tiempo total de carrera = (7.02 - 524/75) minutos = (1/30) minutos = 0.0[tex]\overline 3[/tex] minutos
Please help. Somebody give an answer to this question please. I need a step by step explanation as well.
Answer:
15d² + 7d - 4
Step-by-step explanation:
Distribute
(5d + 4)(3d -1)
5d (3d - 1) + 4(3d - 1)
Distribute
15d² - 5d + 4(3d- 1)
Distribute
15d² - 5d + 12d- 4
Simplify
15d² + 7d - 4
Can some help? Plz :)
Answer:
C. 1.05 x 10^7
Step-by-step explanation:
1.75x10^4 x 600
=1050 x 10^4
=1.05 x 10^7
Venn diagram of b union b
Answer:
let b union b be
B={2,4,6,8} and B= {1,2,3,4,5}
then B union B = {1,2,3,4,5,6,8}
Step-by-step explanation:
Venn diagram of b union b is in the attachment
Hope it is helpful to you
what is the equation of linear regression that fits the data
Answer:
Option D
Step-by-step explanation:
From the table attached,
Ordered pairs to be plotted → (1, 472.08), (2, 454.26), (3, 444.95), (4, 439.49), (5, 436.55)
By using linear regression calculator,
Equation of the regression line → y = -8.583x + 475.215
Option D will be the answer.
Calculate the volume of each solid. Use 3.14 for pi. Round answers to the nearest whole number.
Answer:
See below.
Step-by-step explanation:
Rectangle Volume = Length x Width x Height
Rectangle Volume = 15 x 6 x 8
Rectangle Volume = 720 in^2
Cube volume = s^3
Cube volume = 9^3
Cube volume = 729
Cylinder Volume = [tex]\pi[/tex]r^2h
Cylinder Volume = [tex]\pi[/tex]4^214
Cylinder Volume = [tex]\pi[/tex]1614
Cylinder Volume = [tex]224\pi[/tex]
Answer
720, 729, 703
Step-by-step explanation:
your welcome
Find the volume of the prism
Answer:
A prism is a polyhedron with two parallel, congruent faces called bases that are polygons
If the number of degrees in a certain angle added to the number of grades in the angle is 76, find the angle in degrees.
Find an equation of a line with a slope of -4 and having
the point (2,0) on the line. Then graph the line.
Answer:
y = -4x + 2
Step-by-step explanation:
The formula for slope is: y = mx + b
Where m is slope and b is when the line intersects the y-axis.
Plug in:
y = -4x + 2
The two is the point in the line, and -4 is the slope.
Hope this helps.
Third-degree, with zeros of −3, −1, and 2, and passes through the point (1,8).
Answer:
y=-(x+3)(x+1)(x-2)=-x^3-2x^2+5x+6
Step-by-step explanation:
If the zeros are:
x1=-3
x2=-1
x3=2
then the function is:
y = a (x-x1) (x-x2) (x-x3) = a (x+3) (x+1) (x-2)
y = a (x^3+2x^2-5x-6)
To find the value for "a" we use the information that, if x=1, then y=8:
y = a (1+2-5-6) = a (-8) = 8 therefore a=-1
So:
y=-(x+3)(x+1)(x-2)=-x^3-2x^2+5x+6
if x ---> y and y --> z , which statement would be true
Answer:
Both the statements can be true
Step-by-step explanation:
this means x---> z