Recall two important facts:
- An isosceles triangle always has two identical angles
- The interior angles always add up to 180 degrees
Armed with this info, we can set up two different equations to solve for x, depending on which angle we treat as being one of the pair of identical angles.
If we assume that the identical angles are x, then:
180 = 2x + x + 10
170 = 3x
56[tex]\frac{2}{3}[/tex] = x
Alternately, we can assume that the identical angles are x+10. In this case:
180 = 2(x + 10) + x
180 = 2x + 20 + x
160 = 3x
53[tex]\frac{1}{3}[/tex] = x
Last month, Carly paid a gas and electric bill that totaled $150. The gas portion of the bill was $30. What percent of the bill did Carly pay towards her gas? (Hint: Write a proportion and remember what percents start as!) *
30%
20%
150%
45%
ILL GIVE BRAINLYIST
Answer:
I believe its 45%
Step-by-step explanation:
there were 135 wagons in two station together.
after they moved 45 wagon from the first station to the second station, and 36 wagon from the second station to the first station,
it turned out, that now there were
1 1/2 (3/2) times more wagons in first station, than in second station.
question: how many wagons were on each station in the beginning?
(I need detailed answer please, and I'll mark u as brainliest )
Answer:
[tex]The\ number\ of\ wagons\ on\ Station\ A\ at\ the\ beginning\ = 90\\ The\ number\ of\ wagons\ on\ Station\ B\ at\ the\ beginning\ =45[/tex]
Step-by-step explanation:
[tex]We\ are\ given:\\Total\ no.\ of\ wagons\ in\ both\ the\ stations=135\ wagons\\Now,\\Let\ both\ the\ stations\ be\ denoted\ as\ Station\ A\ and\ Station\ B.\\\\Let\ the\ number\ of\ wagons\ on\ Station\ A\ at\ the\ beginning\ be\ x\\Let\ the\ number\ of\ wagons\ on\ Station\ B\ at\ the\ beginning\ be\ y\\Hence,\\We\ are\ also\ given\ that,\\Number\ of\ wagons\ that\ removed\ from\ Station\ A=45\\Number\ of\ wagons\ that\ were\ added\ to\ Station\ A=36\\Similarly,\\[/tex]
[tex]Number\ of\ wagons\ that\ removed\ from\ Station\ B=36\\Number\ of\ wagons\ that\ were\ added\ to\ Station\ B=45\\Hence,\\The\ final\ number\ of\ wagons\ in\ Station\ A=x-45+36=x-9\\The\ final\ number\ of\ wagons\ in\ Station\ B=x+45-36=y+9\\Now,\\As\ we\ already\ know,\\No.\ of\ wagons\ in\ Station\ A\ at\ the\ beginning\\ +No.\ of\ wagons\ in\ Station\ B\ at\ the\ beginning=135\\Hence,\\x+y=135\\y=(135-x)\\Hence,\\The\ final\ number\ of\ wagons\ in\ Station\ B=y+9=(135-x)+9=(144-x)[/tex]
[tex]We\ are\ also\ given\ that,\\Final\ number\ of\ wagons\ in\ Station\ A=\frac{3}{2}* Final\ number\ of\ wagons\\ in\ Station\ B\\Hence,\\(x-9)=\frac{3}{2}*(144-x)\\By\ simplifying:\\2(x-9)=3(144-x)\\2x-18=432-3x\\3x+2x=432+18\\5x=450\\x=\frac{450}{5}=90\\Hence,\\The\ number\ of\ wagons\ on\ Station\ A\ at\ the\ beginning\ = x=90\\ The\ number\ of\ wagons\ on\ Station\ B\ at\ the\ beginning\ =y=(135-x)=(135-90)=45[/tex]
Given that f(x) = x2 + 12x + 32 and g(x) = 2 + 4, find (f - g)(x) and
express the result in standard form.
Answer:
(f - g)(x) = x² + 12x + 26
General Formulas and Concepts:
Pre-Algebra
Distributive PropertyAlgebra I
Terms/Coefficients/DegreesStep-by-step explanation:
Step 1: Define
f(x) = x² + 12x + 32
g(x) = 2 + 4
(f - g)(x) is f(x) - g(x)
Step 2: Find
Substitute: (f - g)(x) = x² + 12x + 32 - (2 + 4)Combine like terms: (f - g)(x) = x² + 12x + 32 - 6Combine like terms: (f - g)(x) = x² + 12x + 263x +y = -2x+8
-3x+2y=-10
If (x,y) is a solution to the system of equations
above, what is the value of xy?
a) -16
b) -8
c) -4
d) 4
Answer: c) -4
Step-by-step explanation:
Get the variables on one side of 3x+y=-2x+8 and the constants on another side:
3x+y=-2x+8
(3x+y)+2x=(-2x+8)+2x
5x+y=8
Now, multiply 5x+y=8 by -2:
-2(5x+y=8)
-10x-2y=-16
Add this equation to -3x+2y=-10:
(-10x-2y=-16)+(-3x+2y=-10)
-13x=-26
x=2
Plug x=2 into -3x+2y=-10:
-3(2)+2y=-10
-6+2y=-10
2y=-4
y=-2
Therefore, (2, -2) is the solution to the system of equations, so xy=(2)(-2)=-4
pls, help me find x...
Answer:
x = 70 degrees
Step-by-step explanation:
The supplement of 105 is 75 degrees, and the other angle of the triangle is 35 degrees. So x = 180-75-35 = 70 degrees
Answer:
70
Step-by-step explanation:
The ratio of the angles in a triangle is 7/2 / 1 . What is the measure of the largest angle?
Answer:
180 divided by 10 equals 18 and the largest angle is 7 parts 7x10= 126
so 126 is your answer :) hope this helped.
what's the answer to 4/3y = 16
Answer:
12
Step-by-step explanation:
4/3y = 16
4y=48
y=12
Quadrilateral JKLM is graphed in the coordinate plane. Under which transformation
would the image of JKLM be similar to JKLM?
9514 1404 393
Answer:
A
Step-by-step explanation:
Rigid transformations and dilation will result in similar figures. Choices B, C, and D are not rigid transformations or dilations, but are different stretches in one direction than another.
The transformation of A is a dilation by a factor of 2 and reflection over the y-axis. It results in similar figures.
Solve for x (PLEASE HELP!!!)
Answer:
it's answer is 2
Step-by-step explanation:
take the reference angle as 60°
base (b) = x
hypotenuse (h) = 4
Now
cos 60 ° = b / h
1/2 = x / 4
1/2 * 4 = x
Therefore x = 2
Hope it will help :)❤
You are decorating your bedroom. To get the paint colour you want, you mix 2 parts red with 1 parts cream and 3 part blue. How much blue paint will you need to mix with 4 litres of red?. Single line text.
Answer:
6 litres of blue color should be mixed.
Step-by-step explanation:
To get the paint color as per my wish, paint of different colors are mixed in the ratio = Red : Cream : Blue
= 2 : 1 : 3
In this mixture, ratio of red and blue color = 3 : 2
This ratio will be constant for any amount of mixture.
Therefore, [tex]\frac{\text{Amount of Blue color}}{\text{Amount of red color}}=\frac{3}{2}[/tex]
[tex]\frac{b}{4}=\frac{3}{2}[/tex]
b = [tex]\frac{3}{2}\times 4[/tex]
b = 6 litres
Therefore, 6 litres of blue color should be mixed with the 4 litres of red color.
is 12/200 and 9/150 proportional
Pleaseeeee answer correctly !!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!!!!
HELP PLS I DONT HAVE MUCH TIME!!!! POINTS WILL BE GIVEN I WILL MARK AS BRAINLIST!!!
Answer:
(81x+13)
Step-by-step explanation:
Is Point M the midpoint of AB? Select Yes or No for each statement.
Answer:
A is No.
B is Yes.
C is Yes.
D is No.
Answer:
Step-by-step explanation:
For A ) yes
B) yes
C) no
D) Yes
Use the formula for mid,
mid(x, y)=((X_1 + X_2)/2,(Y_1+Y_2)/2)
Denver is about 5,200 feet above sea level. Which number line best represents this integer?
A number line going from negative 7,000 to positive 7,000. A point is at 5,200.
A number line going from negative 7,000 to positive 7,000. A point is at 4,800.
A number line going from negative 7,000 to positive 7,000. A point is at negative 4,800.
A number line going from negative 7,000 to positive 7,000. A point is at negative 5,200.
Answer:
A.
Step-by-step explanation:
I just took the test:) I’m pretty sure it’s right
Answer:
Its A.
Step-by-step explanation:
I did the test and can confirm. :)
What is the volume of the rectangular prism?
Height : 3 1/2
Length : 4
Width : 5 1/4
Answer: 600m
Step-by-step explanation: i didnt know if you wanted meters or feet or sum else so i just did that
The scale on a map reads
1/2 inch = 30 miles. If two cities on the map are 5 3/4 inches apart, find the actual distance between the cities
Answer:
The actual distance between cities = 345 miles
Step-by-step explanation:
Given that:
Scale on map is
1/2 inch = 30 miles
0.5 inch = 30 miles
Distance between two cities on map = [tex]5\frac{3}{4}[/tex] = [tex]\frac{23}{4}[/tex] = 5.75 inches
Actual distance = x
As the relationship is proportional
0.5 : 30 :: 5.75 : x
Product of mean = Product of extreme
30*5.75 = 0.5x
172.5 = 0.5x
0.5x = 172.5
Dividing both sides by 0.5
[tex]\frac{0.5x}{0.5}=\frac{172.5}{0.5}\\x=345[/tex]
Hence,
The actual distance between cities = 345 miles
Marie made the box plot below to display a set of dataWhich set of data could the box plot represent?
Answer: 5, 6, 10, 12, 13, 15, 17, 17, 25, 30, 35
Step-by-step explanation: i took the diagnostic
Answer:
5, 6, 10, 12, 13, 15, 17, 17, 25, 30, 35
Step-by-step explanation:
What is the equation for the line of reflection?
A. x=6
B. y=6
C. y=x
D. y=2
Answer:
A: x=6
Step-by-step explanation:
please help me with this. i don't understand it.
Answer:
A. 11160 cubes B. 1395cm^3
Step-by-step explanation:
Volume= length x width x height
Its easiest to solve B. first and use it to solve A.
B. 7.5 x 12 x 15.5 = 1395cm^3 (volume of prism)
A. .5 x .5 x .5 = 1/8cm^3 (which is the volume of the cube)
1395 ÷ 1/8 = 11160
Answer:
Step-by-step explanation:
1) Rectangular prism: l = 7.5 cm ; w = 12 cm ; h = 15.5cm
Volume of rectangular prism = l * w * h
Cubes: edge = 0.5cm
Volume of cube = edge *edge * edge
Number of cubes = Volume of rectangular prism ÷ Volume of a cube
[tex]=\frac{7.5 * 12 * 15.5}{0.5*0.5*0.5}\\\\ = \frac{7.5 * 12 * 15.5*1000}{0.5 *0.5 *0.5 *1000}\\\\= \frac{75 * 12 *155 * 10}{5 * 5 * 5}\\\\= 3 * 12 * 31 * 10\\\\= 11160[/tex]
11160 cubes will fit in the prism.
2) Volume of prism = 7.5 * 12 * 15.5
= 1395 cm³
14 hours 40 minutes ÷ 5?
Answer:
112 seconds
Step-by-step explanation:
According to my calculations girl here to tell you how.
40*14=560
560/5=112
if 14 is hours and 40 is minutes, multiplying and dividing by five gives you
*DRAMATIC MUSIC*
112 seconds
Answer:
176 minutes
Step-by-step explanation:
14 hours equals 840minutes + 40 minutes = 880 minutes
880/5=176
Any help on this please?
Answer:
18
Step-by-step explanation:
1:14
x:252
252/14= 18
You pay a registration fee and a monthly fee to join a local fitness center. The table shows the total cost of joining the fitness center for different numbers of months.
Write an equation that represents the total cost (in dollars) of joining the fitness center after a certain number of months.
Answer:
100 divided by 3=33.33 therefore 33.33 per month
Step-by-step explanation:
Equation:
33.33x9= 299.97
This is for 9 months
An equation that represents the total cost (in dollars) of joining the fitness center after a certain number of months is; y = 20x + 40
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
WE have to pay a registration fee and a monthly fee to join a local fitness center.
The table represents the total cost of joining the fitness center for different numbers of months.
Then the equation is;
y - 100 = 20(x - 3)
y = 20x - 60 + 100
y = 20x + 40
Hence, an equation that represents the total cost (in dollars) of joining the fitness center after a certain number of months is; y = 20x + 40
Learn more about equations here;
https://brainly.com/question/25180086
#SPJ2
56 : 16 kg rate in the lowest term
Answer:
Step-by-step explanation:
56 divided by 15 equals 3.5, so it's 3.5:1
On a 4 sided dice what is the probability that a 1 was rolled?
Answer (round) to the hundredth place value.
Given:
A 4 sided dice is rolled.
To find:
The probability of getting 1.
Solution:
A 4 sided dice is rolled.
On a 4 sided dice, the possible outputs are 1,2,3,4.
Total number of outcomes = 4
Favorable outcomes or number of 1 = 1
Now,
[tex]\text{Probability of getting 1}=\dfrac{\text{Favorable outcomes}}{\text{Total number of outcomes}}[/tex]
[tex]\text{Probability of getting 1}=\dfrac{1}{4}[/tex]
[tex]\text{Probability of getting 1}=0.25[/tex]
Therefore, the probability of getting 1 is 0.25.
3/2=12 y=
Pls help ASAP
Answer: 1/8
Step-by-step explanation:
Answer: y=8
Step-by-step explanation:
3/2=12 so first thing we want to do is multiply the bottom of the fraction and that leaves us with 3=24 then we divide and we get y=8 (that is what i beign thaught hope this helps in some way)
The park near Malin's house is circular. Its diameter is 2 miles. How far will Malin walk if she walked around the park three times?
PLEASE HELP ME HURRY!!!!!!
THIS IS AN EMERGENCY!!!!!!!!!!
what is the greatest common factor of 12 and 42?
Answer:
das easy : 2
Step-by-step explanation:
It is 6 12 in halves is 6
WILL MARK YOU BRAINLIEST HURRY PLZ IM ON A TIME LIMIT
Answer:
9
Step-by-step explanation:
according to the question
27×⅓
9
Mr Jones is 4 years older than his wife and 31 years older than his son.All three ages add up to 82 years. If Mr Jones is x years old find the value of x and find the ages of his wife and son
Answer:
So the age of Mr.Jones = 39 yrs. |
the age of his wife = 39-4 = 35 yrs.|
and the age his son = 39-31 = 8 yrs.|
Step-by-step explanation:
Let the age of Mr.Jones = x
So, the age of his wife = x-4 (wife is younger by 4 years)
and the age of his son = x-31 (son is younger by 31 years)
Sum of their ages = x + (x-4) + (x-31) = 82
= x + x - 4 + x - 31 = 82 (By removing the brackets)
= 3x - 35 = 82
= 3x = 117 (By adding 35 both the sides)
= x = [tex]\frac{117}{3}[/tex]= 39