Answers
Answer:
y = 4
Step-by-step explanation:
In this situation, because all the angles have the same arc mark, they must have the same measure which means that the triangle is equiangular. Therefore, you can use the definition of an equilateral triangle which states that if the triangle is equiangular, it must be equilateral which means that all sides are the same. This is because x + x + x = 180 → 3x = 180 → x = 60. When you learn trigonometry, you will realize that the proportion of sides corresponds to the angles. Or you could experiment and you may realise that if the angles of the triangles are all 60° then you can only form a triangle where the sides are all equal. If all sides are the same, then 9y - 3 = 7y + 5
So if 9y - 3 = 7y + 5, then
9y - 3 = 7y + 5 →
[subtract 7y from both sides]
9y - 7y - 3 = 7y - 7y + 5 →
2y - 3 = 5 →
[add 3 to both sides]
2y - 3 + 3 → 5 + 3 → 2y = 8 →
[divide both sides by 2]
y = 4
Related Questions
The perimeter of a triangle is 34 feet. One side of the triangle is 2 times the second side. The third side is 2 feet longer than the second side. Find the length of each side
Answers
Answer:
6.4 feet
12.8 feet
14.8 feet
Step-by-step explanation:
let x = length of 1st side
let 2x = length of 2nd side
let 2x + 2 = length of 3rd side
add them all together and set sum equal to 34
x + 2x + 2x + 2 = 34
5x + 2 = 34
5x = 32
x = 6.4, which is 1st side
2x = 12.8, which is 2nd side
2x + 2 = 14.8, which is 3rd side
Evaluate the expression when $a=3$ and $c=12$ . plzz help meeee
Answers
Alan Is saving money to buy a game. So far he has saved $20, which is four-fifths of the total cost of the game. How much does the game cost?
Answers
Answer:
The game cost $25.
Step-by-step explanation:
20 divided by 4 = 5
5 = 1/5 of the total cost
5x5 = 25
Answer:
25 bucks
Step-by-step explanation:
divide 20 by 4 then add 5 til you do it 5 times. that will be the answer
Jasmine is buying cakes for a party. One chocolate cake costs $7, and one lemon cake
costs $5. If Jasmine needs to buy 18 cakes and has $110 to spend, how many lemon
cakes can she buy?
Set up and solve a system of linear equations to model how to determine the number
of lemon cakes Jasmine can buy for the party.
Answers
Answer:
Step-by-step explanation: Am not sure if this is the answer you guys are looking for but my in 9th grade and this is how my math teacher taught me how to do it.
one chocolate cake=?=x
one lemon cake=?=y
$270 spent
need to buy total of 18 cakes
1-chocolate cake =$7
lemon cake = $5
cakes 18=x+y
money $110=$7x+$5y
When i graphed it on the demos calculator i got (10,8).
So 10= the number of chocolate cake brought and 4= the number of lemon cake brought
Solve for the unknown variable
Answers
Answer:
Step-by-step explanation:
ayo
Which is the better buy: 4 cans of peaches for $6.44 or 3 cans for $4.71?
Answers
Answer:
3 cans for $4.71
Step-by-step explanation:
6.44/4= $1.61
4.71/3= $1.57
3 cans for $4.71 is the better buy
Answer:
4 cans is the better option because $6.44 divided by 4 is 1.61. And if you add $4.71 + $1.61 + $1.61 it would equal $7.43
Step-by-step explanation:
Juelle had $25,000 to invest. She invested part of that amount at 3% interest and part at 5% interest for one year. The amount of interest she earned for both investments was $1100. How much was invested at each rate?
Answers
Answer:
The first amount invested at 3%= x = $7500
The second amount Invested at 5% = y = $17500
Step-by-step explanation:
Juelle had $25,000 to invest.
She invested part of that amount at 3% interest and part at 5% interest for one year.
The amount of interest she earned for both investments was $1100.
The formula for Simple Interest =
Principal × Rate × Time
Let us represent
The first amount invested at 3%= x
The second amount Invested at 5% = y
x + y= $25,000....... Equation 1
x = 25,000 - y
3% × x + 5% × y = $1100...... Equation 2
0.03x + 0.05y = 1100...... Equation 2
We substitute 25000 - y for x in Equation 2
0.03x + 0.05y = 1100
0.03(25000 - y) + 0.05y = 1100
750 - 0.03y + 0.05y = 1100
Collect like terms
- 0.03y + 0.05y = 1100 - 750
0.02y = 350
y = 350/0.02
y = 17500
Solving for x
x = 25,000 - y
x = 25000 - 17500
x = 7500
Therefore:
The first amount invested at 3%= x = $7500
The second amount Invested at 5% = y = $17500
Ulani is constructing a triangle that has sides measuring 12 cm and 28 cm. Which measurements could be the length of the third side? Select two options.
Answers
Answer:
16 < n < 40
Step-by-step explanation:
use triangle inequality theorem:
n = length of third side
12 + 28 > n; n > 40
12 + n > 28; n > 16
n + 28 > 12 (this inequality can be discounted because it results in a negative)
If x and y vary inversely and x = -3 when y = 12, what is the constant of variation?
Answers
k=-36
Step-by-step explanation:
x inversely proportional to y
x=1k/y
where k = constant
x= -3, y= 12, k = ?
-3=k/12
k = -3 × 12
k = -36
Find the degree of the polynomial -m^6-10m^3
Answers
Answer:
We conclude that:
The degree of the polynomial is 6.Step-by-step explanation:
Given
Given the polynomial
[tex]-m^6-10m^3[/tex]
To determine
The degree of the polynomial
In order to determine the degree of the polynomial, we need to check the term with the highest of the degree with non-zero coefficients. The degree of an individual term is basically the exponent of the term.
In our case,
The exponents of the terms of this polynomial are, in order, 6, and 3.
Thus, the highest degree (larger exponent) of the term is 6.
Therefore, we conclude that:
The degree of the polynomial is 6.Gasoline costs $3.65 a gallon Which is an estimated cost of 14.2 gallons of gasoline?
Answers
Answer:
the answer is $51.83
Step-by-step explanation:
Answer:
40 or 56 because 3.65 x 14.2 is gonna equal 51.83
We get the same result if we multiply a number by 4 or if we multiply the number by 7 and then add 9. Find the number.
Answers
Answer:
I think it’s when you multiply by 7 then add 9 but it’s just what I think.
Step-by-step explanation:
MATCHING GRAPHS! which ones which!! pls help ill award branliest
Answers
Answer:
Its A and B i beleive.
Step-by-step explanation:
Top right is c
Bottom right is a
What is the product? StartFraction 4 k + 2 Over k squared minus 4 EndFraction times StartFraction k minus 2 Over 2 k + 1 EndFraction StartFraction 4 Over 2 k + 1 EndFraction StartFraction 2 Over k minus 2 EndFraction StartFraction 2 Over 2 k + 1 EndFraction StartFraction 2 Over k + 2 EndFraction
Answers
Answer:
[tex]\frac{2}{k+2}[/tex]
Step-by-step explanation:
Given the expression:
[tex]\frac{4k+2}{k^2-4} * \frac{k-2}{2k+1}[/tex]
We are to find the product as shown:
[tex]= \frac{4k+2}{k^2-4} * \frac{k-2}{2k+1}\\\\= \frac{2(2k+1)}{k^2-2^2} * \frac{k-2}{2k+1}\\\\= \frac{2(2k+1)}{(k-2)(k+2)} * \frac{k-2}{2k+1}\\\\= \frac{2}{k+2} * 1\\\\= \frac{2}{k+2}[/tex]
Hence the required function is [tex]\frac{2}{k+2}[/tex]
d. StartFraction 2 Over k + 2 EndFraction
aka
d. 2/k+2
True or False:
cot = 1/tan
Answers
Answer:
I think its true??? right... its true
Step-by-step explanation:
Answer:
it is true
Step-by-step explanation:
stephanie and jenny each improved their yards by planting rose bushes and geraniums. they bought their supplies from the same store. stephanie spent $148 on 13 rose bushes and 1 geranium. jenny spent $169 on 9 rose bushes and 14 geraniums. find the cost of one rose bush and one geranium.
Answers
Answer:
The cost of one rose is $11., and the cost of one geranium is $5.
Step-by-step explanation:
The cost of one rose bush and one geranium can be determined by the use of simultaneous equation. Let the cost of a rose bush be represented by x, and the cost of one geranium by y.
So that,
13x + y = 148 .............. 1
9x + 14 y = 169 ............... 2
From eqaution 1,
y = 148 - 13x ............... 3
substitute the value of y in equation 2
9x + 14(148 - 13x) = 169
9x + 2072 - 182x = 169
2072 - 169 = 182x - 9x
1903 = 173x
x = [tex]\frac{1903}{173}[/tex]
= 11
x = 11
substitute the value of x in equation 3
y = 148 - 13x
= 148 - 13(11)
= 148 - 143
y = 5
x = 11, y = 5
Thus, the cost of one rose is $11., and the cost of one geranium is $5.
‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️
A recipe calls for 6 cups of water and 4 cups of flour.
a. What is the ratio of water to flour?
b. If the recipe is increased to use 6 cups of flour, how much water should be used?
c. If the recipe is decreased to use 2 cups of water, how much flour should be used?
Answers
Answer:
6 to 4
Step-by-step explanation:
The amount of water is 6 and the amount of flour is 4 therefor there is 6 to 4 cups of water.
Please help me if you are good at math!
Answers
1, 6, 36, 216: Geometric
12, 4, -4, -12: Arithmetic
1, 2, 8, 64: Neither
-216, -72, -24, -8: Geometric
Explanations:
Arithmetic Sequence: Every number in the sequence is either added or subtracted by the same number. We know that 12, 4, -4, -12 is arithmetic because each number in the sequence is subtracted by 8.
Geometric Sequence: Every number in the sequence is either multiplied or divided by the same number. We know that 1, 6, 36, 216 is geometric because each number in the sequence is multiplied by 6. We also know that -216, -72, -24, -8 is geometric because each number in the sequence is being divided by 3.
Neither: 1, 2, 8, 64 is neither because it is not being added, subtracted, multiplied, or divided by the same number.
I hope this helped!
Consider the function represented by 9x + 3y = 12 with x as the independent variable. How can this function be
written using function notation?
O FU=-v+
Of(x) = - 3x + 4
o f(x) = -x +
Of = -3y + 4
Answers
Answer:
9x + 3y = 12
3y = -9x + 12
y = -3x + 4
f(x) = -3x + 4
Step-by-step explanation:
I hope it's help
The average cost per month of a 2-bedroom apartment in Grayson was $625 last year. This year, the average cost is $650. What is the percent increase from last year to this year? *
4%
25%
14%
3.8%
Answers
Answer:
4%
Step-by-step explanation:
4% percent of 625 is 25 and the price used to 635 and now its 650 which means there was a $25 increase which means 4% is correct
BRAINLIEST PLZ!!!
What is the value of h(2)? -2 -1 0
3
Answers
Answer:
The answer is 0
Step-by-step explanation:
Or c on edge.
Trevion is training for a marathon. In February, he ran XLVII miles for his training. In January, he was only able to run XXIV miles. How many more did he run in February than in January?
Answers
Answer:he ran 23 miles / XXIII miles more in February than March
Step-by-step explanation:
February = He ran XLVII --- converting to numbers becomes
XL= 40
VII= 7
XLVII= 47
In march he ran XXIV--- converting to numbers becomes
XX= 20
IV= 4
XXIV= 24
Step 2
To find how many more he ran in February than March
Miles ran in February - Miles ran in March
47- 24=23.
Therefore he ran 23 miles / XXIII miles more in February than March
Answer:
pretty much answer c
Step-by-step explanation:
Hey guys, I need this question in about 2 minutes, please help.
Answers
Answer:
Well I got 9 log 10 (2)/ 3-3log10 (5)
Please correct me if I am wrong
Step-by-step explanation:
You have to apply the rule alogc (b) (b^a)
= [tex]\frac{log10(\sqrt{8))^{4}-log10((\frac{1}{2}))^{3}) } }{3-6log10(\sqrt{5}) }[/tex]
\frac{\log _{10}\left(\frac{\left(\sqrt{8}\right)^4}{\left(\frac{1}{2}\right)^3}\right)}{3-6\log _{10}\left(\sqrt{5}\right)}
factorise cos²A + 3 Cos A + 2
Answers
Answer:
[tex](cosA +1)(cosA +2)[/tex]
Step-by-step explanation:
[tex]cos^2(A)+3cos(A)+2[/tex]
Which number add up to 3 and multiply to 2?
That would be 1 and 2.
[tex]cos^2(A)+3cos(A)+2=(cosA +1)(cosA +2)[/tex]
Help me quickly just give the answer
Answers
Answer:
6
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
48 divided by 8 = 6 or 8 x 6 = 48
Each square on a grid represents one unit on each side.
Calculate the slope of graph D. Explain or show your reasoning.
Answers
Answer:
Slope = -4
Step-by-step explanation:
The slope is negative because the line is going down.
The line goes down 4 times and goes right once = 4
The required slope of the given graph would be - 4 which is a negative slope.
What is a graph?A graph can be defined as a pictorial representation or a diagram that represents data or values.
The graph is given in the question
Each square on a grid represents one unit on each side.
We have to determine the slope of the given graph D
According to the given graph, we take two points (4, 12) and (7, 0)
The slope of a line is defined as the gradient of the line.
It is denoted by m
Slope m = (y₂ - y₁)/(x₂ -x₁ )
Consider two points on a line—Point 1 and Point 2. Point 1 has coordinates (x₁,y₁) and Point 2 has coordinates (x₂, y₂)
Slope m = (0 - 12)/(7 -3 )
Slope m = -12/3
Slope m = -4
Thus, the required slope of the given graph would be - 4
Learn more about the Slope of the Line here:
brainly.com/question/14511992
#SPJ2
What is the answer to this ?
Answers
Answer:
x - 1 and 5x - 7
Step-by-step explanation:
f(x) + g(x)
= 3x - 4 - 2x + 3 ← collect like terms
= x - 1
f(x) - g(x)
= 3x - 4 - (- 2x + 3) ← distribute parenthesis by - 1
= 3x - 4 + 2x - 3 ← collect like terms
= 5x - 7
Work Out:
3/4 + 1/8=
Answers
Solve for y:
-6+ 2y =12
Answers
Answer:
9
Step-by-step explanation:
-6+2y=12
+6 +6
2y=18
2 2
9
What value is equivalent to
Answers
Answer:
-3
Step-by-step explanation:
dont know its right id(kkkkkkkkkkkkkkkkkkkkkkk