Answers
Answer:
measure of Arc FJ is 80 degrees.
Step-by-step explanation:
Key skills: High School Geometry, One Variable Equations, Angles
1)Let's look at the diagram thoroughly
2) The 2 thing we can get are:
Angle HKG and Angle IKJ are vertical angles (which means they are congruent). Angle HKG + Angle GKF + Angle FKJ = 180 (Since they all form a straight angle - A straight angle is 180 degrees in measure.)3) First we can use the fact that Angle HKG and Angle IKJ are vertical angles. This makes them congruent (Or equal in size)
We can then solve for x by making the equation: 3x-22=x+104) Solve this by moving the x's to one side, and the numbers to the other. You would then get: 3x-x=10+22
3x-x= 2x 10+22=32
2x=32
Divide by 2 on both sides and x=16.
5) We get that x=16. Now to find the measure of Arc FJ, we need to use the fact that Angle HKG + Angle GKF + Angle FKJ = 180
What we want to find is Angle FKJ. The measure of Angle FKJ would be the measure of Arc FJ
6) We can make an equation: x+10+74+Angle FKJ=180
Solve this --> x=16, so substitute it in16 + 10 + 74 + Angle FKJ=180100 + Angle FKJ = 180Angle FKJ = 80 degreesIf Angle FKJ is 80 degrees, then Arc FJ measures 80 degrees.
Hope you understood! Have a Nice Day! :D
Related Questions
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]
27 = -3x - 9 plssss helppp
Answers
Answer:
x = 1-2
Step-by-step explanation:
27 = - 3x - 9
36 = -3x
-12 = x
x = -12
Step-by-step explanation:
27+9=-3x
36=-3x
36 divided by -3=x
-12=x
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
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
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.Which of the graphs below represents the solution set for d - 4 > -3?
Answers
Answer: C
Step-by-step explanation:
Pleaseeee helppppp meeeeee
Answers
Answer:
the answer is (1)
Step-by-step explanation:
k = am +3mx
i) factorize out m from the expressionk = m(a+3x)
ii) rearrange the equation using commutative propertym(a+3x) = k
iii) divide both sides of the equation by (a+3x)[tex] \frac{m(a+3x)}{(a + 3x)} = \frac{k }{(a + 3x)} [/tex]
[tex]m = \frac{k }{a + 3x} [/tex]
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
pls help with this math question
Answers
Answer:
its x>-249
Step-by-step explanation:
this should be the answer cause x is 0 on the line and the 249 is negative so its much less than 0
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
Evaluate the expression when $a=3$ and $c=12$ . plzz help meeee
Answers
help pls❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗
Answers
What’s all the factor pairs of 12
Answers
Answer: 1, 2, 3, 4, 6, 12
Answer:
[tex]1 \times 12 \\ 2 \times 6 \\ 3 \times 4 \\ 4 \times 3 \\ 6 \times 2 \\ 12\times1[/tex]
hope this helps you.
~ Hi1315~
Write the slope-intercept form of the equation of each line given the slope and y-intercept.
Slope=-1/4, y-intercept =2
Answers
Answer:
y = -1/4x+2
Step-by-step explanation:
The SIF (slope intercept form) is pretty easy once you get it down. the slope is the interger before x, and the y-intercept is b. so, if you input each number into it's spot, it would become y = -1/4x + 2.
The function f is defined by the following rule f(x) = 5x -5 Complete the function table. -5 -1 I 2 3 4
Answers
Answer:
x f(x)
-5 -30
-1 -10
2 5
3 10
4 15
Step-by-step explanation:
Let us solve the question
∵ The function f is defined by the rule f(x) = 5x - 5
∵ x = -5
→ Substitute x in f by -5 to find the value of f(-5)
∴ f(-5) = 5(-5) - 5 = -25 - 5 = -30
∴ f(-5) = -30
∵ x = -1
→ Substitute x in f by -1 to find the value of f(-1)
∴ f(-1) = 5(-1) - 5 = -5 - 5 = -10
∴ f(-1) = -10
∵ x = 2
→ Substitute x in f by 2 to find the value of f(2)
∴ f(2) = 5(2) - 5 = 10 - 5 = 5
∴ f(2) = 5
∵ x = 3
→ Substitute x in f by 3 to find the value of f(3)
∴ f(3) = 5(3) - 5 = 15 - 5 = 10
∴ f(3) = 10
∵ x = 4
→ Substitute x in f by 4 to find the value of f(4)
∴ f(4) = 5(4) - 5 = 20 - 5 = 15
∴ f(4) = 15
use the area of a triangle to write a formula for the area of a regular polygon and solve of the formula for height
Answers
Answer:
4
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.
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
Solve the inequality:
2(x = 5) > 4
Answers
Answer:
x>-3 (if the = is meant to be +)
Step-by-step explanation:
Distribute the 2: 2x+10>4
Subtract 10 from both sides: 2x>-6
Divide both side by 2: x>-3
A larger number is 2 more than 4 times a smaller number. The larger number is also 8 more than 2 times the smaller number. y = 4x+2, y = 2r+8 What is the value of the smaller number in the mathematical problem?
Answers
Answer:
3
Step-by-step explanation:
I got it wrong so then it told me what the correct answer was:)
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 sum of 3 times a number and 5 is equal to 9.
Answers
Answer:
Let x equal “a number”
3x+5=9
Answer:
x = 4/3 or 1.33333333333333333333333(infinite 3)
Step-by-step explanation:
3 times a number = 3x
sum = addition
3x + 5 = 9
now balance equation, get numbers without x on same side. Subtract 5 from both sides, this will leave 3x on one side, and 9-5 on the other side.
3x = 4, now divide by 3 on each side to get x on one side
3x/3 = 4/3
x=4/3
4/3 = 1.33
3 x 1.33 +5 = 9
What value is equivalent to
Answers
Answer:
-3
Step-by-step explanation:
dont know its right id(kkkkkkkkkkkkkkkkkkkkkkk
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:
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!
find the value of X
Answers
Answer:
B X equals 3
Step-by-step explanation:
e3quals 3
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.
Solve for the unknown variable
Answers
Answer:
Step-by-step explanation:
ayo
Write an equivalent expression.
-2(8+5g)
Answers
Answer:
-16 - 10g
Step-by-step explanation:
All I did was distribute
-2*8 + -2*5g
-16 - 10g
(+ -) additive inverse
Which of the following is equivalent to
the expression (i + 5)(3 + 4i)?
Answers
Answer: 11+23i
Step-by-step explanation:
(i+5)(3+4i)
First foil
3i+4i^2 +15+20i
Then combine like terms
23i+15+4i^2
i^2 = -1 so,
23i+15+4(-1)
11+23i