Answer:
Step-by-step exp
X+x+(x+10)=180
3x+10=180
3x=180-170
x=56.666666degrees.
Case 2
x+(x+10)+(x+10)=180
3x+20=180
3x=160
X=53.333333
i hope the answer is help ful
When two angles of an isosceles triangle are given in the form of x, then the value of a single angle can have two possible outcomes those are:
X can be [tex]56.66^\circ[/tex]X can be [tex]53.33^\circ[/tex]Given,
Two angles: X and [tex]\rm{X}+10[/tex]
As we know in an Isosceles triangle, the sum of all the angles is equal to[tex]180^\circ[/tex] and any of the two angles can be equal.
There can be two possible outcomes:
Case 1. When the two equal angles are X
[tex]\begin{aligned}\text{X}+\text{X}+(\text{X+10})&=180\\3\text{X}+10&=180\\3\text{X}&=180-10\\\text{X}&=\dfrac{170}{3}\\\text{X}&=56.66^\circ\end{aligned}[/tex]
Case 2: When the two equal angles are [tex]\rm{X}+10[/tex]
[tex]\begin{aligned}\text{X}+(\text{X}+10)+(\text{X}+10)&=180\\3\text{X}+20&=180\\3\text{X}&=180-20\\\text{X}&=\dfrac{160}{3}\\\text{X}&=53.33^\circ\end{aligned}[/tex]
Therefore, the two possible values of X can be [tex]56.66^\circ[/tex] and [tex]53.33^\circ[/tex]
To know more about the angles of the isosceles triangle, refer to the link:
https://brainly.com/question/12105959
*EXTRA PTS* find the value
solve each equation by substituting. y=-3x+5
5x-4y=-3
not different problems they are in the same problem
Answer:
(1, 2 )
Step-by-step explanation:
Given the 2 equations
y = - 3x + 5 → (1)
5x - 4y = - 3 → (2)
Substitute y = - 3x + 5 into (2)
5x - 4(- 3x + 5) = - 3 ← distribute and simplify left side
5x + 12x - 20 = - 3
17x - 20 = - 3 ( add 20 to both sides )
17x = 17 ( divide both sides by 17 )
x = 1
Substitute x = 1 into (1) for corresponding value of y
y = - 3(1) + 5 = - 3 + 5 = 2
solution is (1, 2 )
Answer:
x = 1 and y = 2
Step-by-step explanation:
y + 3x = 5 -------------> (1)
-4y + 5x = -3 -------------> (2)
(1) * 4
=> 4y + 12x = 20 --------> (3)
(3) + (2)
=> 0y + 17x = 17
=> 17x = 17
by dividing both sides by 17
=> x = 1
by putting x = 1 into (1)
=> y + 3*1 = 5
=> y + 3 = 5
=> y = 5 - 3
=> y = 2
How might a change in the environment affect plants differently than it would animals?
Answer:
Some plants need certain things in their environment, so if their environment changes it could make the plants not grow. Animals would most likely either move to a different area or would get used to the change.
Since a middle school opened, the boys basketball team has had the same record every season. The team has won a total of 130 games while losing only 10 games. Find the constant of proportionality of wins to losses.
Answer: 1:13 or for every 10 games they will lose one game
Step-by-step explanation:
The pet store has an abundance of birds and fish and is selling them at a great price there are 230 of these pets in the store the cost for a bird is $9 and the cost per fish is $4 the store sold all the pets in a weekend blow out sale and made $1060 how many of the pets were birds and how many were fish? Equation for pets? Equations for cost?
Answer:
a) How many of the pets were birds and how many were fish?
Number of birds = x = 28
Number of fish = y = 202
b) Equation for pets?
x + y = 230....... Equation 1
c) Equations for cost?
9x + 4y = 1060...... Equation 2
Step-by-step explanation:
The pet store has an abundance of birds and fish and is selling them at a great price there are 230 of these pets In the store the cost for a bird is $9 and the cost per fish is $4 the store sold all the pets in a weekend blow out sale and made $1060 how many of the pets were birds and how many were fish? Equation for pets? Equations for cost?
Let us represent:
Number of birds = x
Number of fish = y
The pet store has an abundance of birds and fish and is selling them at a great price there are 230 of these pets
x + y = 230....... Equation 1
x = 230 - y
In the store the cost for a bird is $9 and the cost per fish is $4 the store sold all the pets in a weekend blow out sale and made $1060
$9 × x + $4 × y = $1060
9x + 4y = 1060...... Equation 2
We substitute 230 - y for x
9(230 - y) + 4y = 1060
2070 - 9y + 4y = 1060
Collect like terms
- 9y + 4y = 1060 -2070
-5y = -1010
y = -1010/-5
y = 202
Solving for x
x = 230 - y
x = 230 - 202
x = 28
Therefore,
Number of birds = x = 28
Number of fish = y = 202
Work out the sum of 1/6 , 4/5 and 2/3 Give your answer as a mixed number in its simplest form.
Answer:
39/30= 13/10
Step-by-step explanation:
You would need to make all numbers have a common denominator. The least common denominator for them is 30. So multiply the 1/6 by 5. the 4/5 by 6 and the 2/3 by 10. And the answer will come out to be a mixed number.
Find the height of a cone that has a radius of 3 in and a volume of 96.91 in.
Answer:
thank you lil shawty
Step-by-step explanation:
please help me with this
Answer:
Y=MX+C is the equations of a straight line where C is the constant (y intercept)
Looking at a and b and the two graphs c and d
The function c represents the lowest value of the y intercept which is at -3
What’s a Y-Intercept that’s the question is asking
Answer:
A y-intercept is were your line (on a graph) starts.
Esther is participating in a walk-a-thon. She will raise 5 dollars for her charity for each lap she walks.
Let l = the number of laps she walks
Let d = the number of dollars she raises
help PLEASEEEEEEE
Answer:
The equation is d=5l
As the number of LAPS increases, the number of DOLLARS also increases
Step-by-step explanation:
Edge 2021 on assignment
Answer:
d=5l
laps
dollars
Step-by-step explanation:
i did it and its correct
What is the length of AB? A.2.59 B.9.66 C.10.35 D38.64
Answer:
what
Step-by-step explanation:
is the questionn
What is 12 * 54 plus 88 ?
Answer: 736
Step-by-step explanation: Hope that helps!!!!
Happy valentines day and have a great day!
Whitney works at an aquarium. She uses hoses of different sizes to fill the fish tanks. Hose A takes 16 min to fill a 160-gal tank. Hose B takes 30 min to fill a 240-gal tank.
Which hose fills at a faster rate?
Choose one option from each drop-down menu to answer the question.
Hose A fills at a rate of Choose... 0.1, 10, 144, 160 gal per min.
Hose B fills at a rate of Choose... 0.125, 8, 210, 240 gal per min.
Hose Choose... A or B fills at a faster rate.
Answer:
Hose A fills at a rate of 10 gal per min
Hose B fills at a rate of 8 gal per min
Hose B fills at a faster rate
Step-by-step explanation:
Answer:
Hose A=10 gal per min
Hose B=8 gal per min
Hose A is faster
Step-by-step explanation:
A) 160 gallon/16 minutes=10 gallons per minute
B) 240 gallon/30 minutes=8 gallons per minute
Simplify 4.2^-3 x 5.1^2 x 4.2^4 x 5.1^3
Answer:
14491.060542
Step-by-step explanation:
The value of a car is $18,000 and depreciating at a rate of 12% per year. Use
an exponential function to find the value of the car after 10 years.
$5012.02 is the value of the car after 10 years
How to use the exponential function to find the value of the car after 10 years?Depreciation is the reduction in the value of an asset over time
Given that: the present value of a car is $18,000 and it's depreciating at a rate of 12% per year
The exponential function is given as
Y= a ( 1 - r )^t
where a = present value of a car, r = depreciation rate and t = number of years
Y = 18,000 (1-0.12)¹⁰
Y = $ 5012.02
Therefore, the value of the car after 10 years is $ 5012.02
Learn more about depreciation on:
https://brainly.com/question/25806993
#SPJ1
Can someone help with this question
Answer:
3 and 4
Step-by-step explanation:
Answer
Im cool :d
Step-by-step explanation:
I really don't understand this
Answer:
First Game: She wins
Second game: She loses
Third game: She loses
Step-by-step explanation:
If the graph go down she loses, if it goes up she win.
for example on the first try she won so she gets 1 point there is a dot at 1, for the second try she loses so she gets 0 points, the mean score which is (1+0)/2 is .5
on the third try she lost again so she gets another 0 point so (1+0+0)/3 = .33
and so on
2(1/2z+ 4)- 0.5
what could this be re written as?
a. z-3.5
b. z+7.5
c. z+8.5
d. 2z+3.5
Answer:
B. z+7.5 is the answer I chose
What is the value of x?
Enter your answer in the box.
x =
Two intersection lines. Angle formed at the top is labeled 3 x plus 50 degrees. Angle formed at the bottom is labeled 6 x minus 10 degrees.
Answer:
the anwser is (60-50)
Step-by-step explanation:
took the test
84 miles in 12 days how many miles a day
Answer:
7 miles per day
Step-by-step explanation:
Solve:
84 divided by 12
Check:
12 multiplied by 7
Hope this helps!
f (x) = 3x+2 / x-1 untuk x ≠ 1, maka invers fungsi f (x) adalah
Answer:
Step-by-step explanation:
hello : F (x) = 3x+2 / x-1
let : F (x) = y.....x ?
y= 3x+2 / x-1
y(x-1) =3x+2
yx-y= 3x+2
yx-3x = y+2
x(y-3) = y+2
for y ≠ 3
x= (y+2)/(y-3)
invers fungsi f (x) : g(x) = (x+2)/(x-3) ..... x ≠ 3
All rational numbers are whole numbers? True or false
Omar rented a truck for one day. There was a base fee of $15.99, and there was an additional charge of 74 cents for each mile driven. Omar had to pay
$166.95 when he returned the truck. For how many miles did he drive the truck?
[tex]15.99 + 0.74(m)[/tex]
[tex]15.99 + 0.74(m) = 166.95[/tex]
[tex]15.99 - 15.99 + 0.74(m) = 166.95 - 15.99[/tex]
[tex]0.74m = 150.96[/tex]
[tex] \frac{0.74m}{0.74} = \frac{150.96}{0.74} [/tex]
[tex]m = 204[/tex]
He drove 204 miles.
308 miles in 7 hours. Find the
rate and unit rate in miles per
hour. Please help :) It’s 15 points.
Answer:
They did 44 miles per hour
Step-by-step explanation:
308 / 7 = 44
Debra made $228 for 12 hours of work.
At the same rate, how many hours would she have to work to make $323?
Answer:
17 hours
Step-by-step explanation:
Set up a proportion: [tex]\frac{12}{228} = \frac{x}{323}[/tex] Cross multiply, then divide: 12 × 323 = 3876, 3876 ÷ 228 = 17So, she would have to work 17 hours to make $323.I hope this helps!
what is 5/6 -3/8 ........
Answer:
11 over 24 = 0.458
Step-by-step explanation:
7. The cost of 2 notebooks and 4 folders is
$2.50. The cost of 1 notebook and 6
folders is $2.25. Which statement is true?
A The cost of a notebook is $1.00, and
the cost of a folder is $0.25.
B The cost of a notebook is $0.75, and
the cost of a folder is $0.25.
C The cost of a notebook is $0.25, and
the cost of a folder is $0.75.
Answer: B (The cost of a notebook is $0.75, and the cost of a folder is $0.25.)
Step-by-step explanation:
No need for explanation. i know i’m right!!
In the year 2007, a company made $4 million in profit. For each consecutive year after that, their profit increased by 14%. How much would the company's profit be in the year 2011, to the nearest tenth of a million dollars
Answer:
$6.76 million
Step-by-step explanation:
The computation of the profit of the year in 2011 is shown below:
Given that
In year 2007, it made $4 million profits
And it would be increased by 14% till 2011
So,
= $4 million × (1 + 0.14)^4
= $4 million × 1.68896016
= $6.76 million
[tex] \frac{4}{5 } + \frac{3}{20} = [/tex]
Answer:
Step-by-step explanation:
[tex]\frac{4}{5}+\frac{3}{20}\\ \\ \frac{4}{5}\left(\frac{4}{4}\right)+\frac{3}{20}\\ \\ \frac{16+3}{20}\\ \\ \frac{19}{20}[/tex]
If 23% of is 46, then what is the value of ?
Answer:
10.58
Step-by-step explanation:
the percentage multiplier is 0.23
so do 46 x0.23 = 10.58
