Answers
Angle GFJ = 56 degrees
Angle FGH = 124 degrees
Angle HFJ = 34 degrees
Angle HKJ = 101 degrees
Step-by-step explanation:
The measure of the angles are:
[tex]\mathbf{GFJ = 56}[/tex]
[tex]\mathbf{GFJ = 56}[/tex]
[tex]\mathbf{\angle HFJ = 34}[/tex]
[tex]\mathbf{\angle HKJ =101}[/tex]
The given parameters are:
∠GHF = 34°,
∠HJF = 124°,
∠FKJ = 79°.
(a) Angle ∠GFJ
This is calculated as:
[tex]\mathbf{GFJ = 180 - \angle HJF}[/tex] --- base angles of parallelogram add up to 180 degrees
So, we have:
[tex]\mathbf{GFJ = 180 - 124}[/tex]
[tex]\mathbf{GFJ = 56}[/tex]
(b) Angle ∠FGH
This is calculated as:
[tex]\mathbf{\angle FGH = \angle HJF}[/tex] --- opposite angles of parallelogram are equal
So, we have:
[tex]\mathbf{\angle FGH = 124}[/tex]
(c) Angle ∠HFJ
This is calculated as:
[tex]\mathbf{\angle HFJ = \angle GHF}[/tex] --- corresponding angles
So, we have:
[tex]\mathbf{\angle HFJ = 34}[/tex]
(d) Angle ∠HKJ
This is calculated as:
[tex]\mathbf{\angle HKJ =180 - \angle FKJ}[/tex] ---- supplementary angles
So, we have:
[tex]\mathbf{\angle HKJ =180 - 79}[/tex]
[tex]\mathbf{\angle HKJ =101}[/tex]
Read more about angles in a parallelogram at:
https://brainly.com/question/9680084
Related Questions
Geometry Question: Image is provided below.
Please show all work and your steps.
25 points
Answers
We can simplify that into 18x + 54 = 180
Now we take away 54 from both sides to get 18x = 126
Now divide both sides by 18 and we get
x = 7.
Now that we know that x = 7 we know that the 10x + 54 angle is equal to 124 by substituting the value of x in. We also know that 11y + 14 must equal to 124 because of vertically opposite angles. So we have 11y + 14 = 124.
Take away 14 from both sides; 11y = 110
Now divide both sides by 11 and we get
y = 10
So x = 7 and y = 10
I hope that you understood all of my steps and if this did help you a Brainliest would be very appreciated :)
Answer:
x=7
y=10
Step-by-step explanation:
8x and 11y+14 are same side interior angles so they add to 180 degrees
11y+14 and 10x+54 are vertical angles so they are equal
8x + 11y+14 = 180
11y+ 14 = 10x+54
Substitute 10x+54 for 11y+14 in the first equation
8x +10x+54 = 180
Combine like terms
18x+54 =180
Subtract 54
18x+54-54=180-54
18x =126
Divide by 18
18x/18 = 126/18
x=7
Now we can find y
11y+ 14 = 10x+54
11y + 14 = 10*7+54
11y+14 = 70+54
11y+14 =124
Subtract 14 from each side
11y = 124-14
11y =110
Divide by 11
11y/11=110/11
y =10
Can someone please help me?
Answer choices:
-Less than
-Greater than
-Greater than or equal to
-Less than or equal to
Answers
Answer:
4 + √15 > 3 + √6
Step-by-step explanation:
Hi there !
√15 ≈ 3.87
4 + 3.87 = 7.87
√6 ≈ 2.44
3 + 2.44 = 5.44
7.87 > 5.44
4 + √15 > 3 + √6
Good luck !
y = bx(x - a)(x-a)(x + b)(x - b)
In the equation above, a and b are positive
constants and a ≠ b. How many distinct x-intercepts
does the graph of the equation in the xy-plane have?
Answers
The x-intercepts of an equation are simply the zeros of the equation
The equation [tex]\mathbf{y = bx(x - a)(x -a)(x + b)(x - b)}[/tex] has 4 distinct x-intercepts
The equation is given as:
[tex]\mathbf{y = bx(x - a)(x -a)(x + b)(x - b)}[/tex]
Set the equation to 0; i.e. calculate the zeros
[tex]\mathbf{bx(x - a)(x -a)(x + b)(x - b) = 0}[/tex]
Divide both sides by constant b
[tex]\mathbf{x(x - a)(x -a)(x + b)(x - b) = 0}[/tex]
Split the above equation, as follows
[tex]\mathbf{x= 0\ or\ x - a = 0\ or\ x -a = 0\ or\ x + b = 0\ or\ x - b = 0}[/tex]
Solve for x in each of the equation
[tex]\mathbf{x= 0\ or\ x = a\ or\ x = a\ or\ x= -b\ or\ x = b}[/tex]
Remove repeated solutions
[tex]\mathbf{x= 0\ or\ x = a\ or\ x= -b\ or\ x = b}[/tex]
The count of solutions above is 4
Hence, the equation has 4 distinct x-intercepts
Read more about x-intercepts at:
https://brainly.com/question/3951754
How many gallons of water are in a 2 gallon pitcher that is 3/4 full?
Answers
Answer:
1.5 gallons
Step-by-step explanation:
2 x 0.75
1.5 gallons
Brainliest appreciated!
Answer:
1.5 gallons
Step-by-step explanation:
1/4 of container would be 0.5 gallons, so 3/4 of the container is 1.5 gallons. Multiply 0.5 times 3.
?×3/4=-6
what does ? equal
please answer asap
Answers
Answer:
-8
Step-by-step explanation:
PLEASE HELP ME ASAP I HAVE 4 QUESTIONS BRAINIEST TO WHO IS RIGHT
Answers
Answer:
B: Distinct lines
Step-by-step explanation:
If you go to desmos graphing calculator add put the equations in you can see they never interesct
Answer:
B) distinct parallel lines
Step-by-step explanation:
First, place both equations in slope-intercept form:
y + 6 = [tex]-\frac{1}{3}[/tex] (x - 15)
y + 6 = -1/3x + 5
y = -1/3x - 1
2x + 6y = 24
6y = -2x + 24
y = -2/6x + 4
y = -1/3x + 4
Because they have the same slope and different y-intercepts, they are parallel.
Simplify the expression using the variable replacements.
2a² – 4bifa= 2andb = 1
Answers
Answer:
= 4
Step-by-step explanation:
2a^2-4b
=2(2)^2-4(1)
=2×4-4
= 8-4
=4
I don't understand this at all. Can you help me solve this please :)
Answers
Answer:
y = -1/2x +3
Step-by-step explanation:
basically all you have to do is change the y intercept, but keep the slope the same and you create a parallel line
.
The diameter of the handle of a softball bat is inches. What is the length in inches of the diameters of 8 if these bat handles?
Answers
The diameter of the handle of a softball bat is 1 ¾ inches.
Step-by-step explanation:
What is the lowest range of the function shown on the graph?
Answers
Answer:
C.-2
Step-by-step explanation:
The vertex is at (3,-2), this can find the lowest range because since both sides of the function go up from this point there will be no points beneath it. Since the range is Y value the minimum would be -2 because this is the Y value of the vertex. You can check the graph to prove this because there are not any y-values equal to less than -2.
The cost to manufacture x number of chairs can be represented by the function C(x)=36x. In this context, what does the statement C(63)=2268 mean?
Answers
Answer:
The cost to manufacture 63 chairs, and that cost is 2268.
Step-by-step explanation:
Mathematical Models
The cost to manufacture x chairs is given as the math model:
C(x)=36x
For example, to manufacture 10 chairs, we write:
C(10)=36*10=360
According to the explained above, the statement C(63)=2268 means we are calculating the cost to manufacture 63 chairs, and that cost is 2268.
What is the solution to the inequality 5.25 – b ≥ 6.5? A number line going from negative 5 to positive 5. A solid circle appears between negative 1 and negative 2. The number line is shaded from the circle to negative 5. A number line going from negative 5 to positive 5. An open circle appears between negative 1 and negative 2. The number line is shaded from the circle to negative 5. A number line going from negative 5 to positive 5. A solid circle appears between negative 1 and negative 2. The number line is shaded from the circle to positive 5. A number line going from negative 5 to positive 5. An open circle appears between negative 1 and negative 2. The number line is shaded from the circle to positive 5.
Answers
Given:
The inequality is
[tex]5.25-b\geq 6.5[/tex]
To find:
The solution of the given inequality on the number line.
Solution:
We have,
[tex]5.25-b\geq 6.5[/tex]
Subtract 5.25 from both sides.
[tex]5.25-b-5.25\geq 6.5-5.25[/tex]
[tex]-b\geq 1.25[/tex]
Multiply both sides by -1 and change the sign of inequality.
[tex]b\leq -1.25[/tex]
The value of b always less than or equal to -1.25. Since -1.25 included in the solution set, therefore there is a solid circle on -1.25.
-1.25 lies between -2 and -1. It means the solid circle lies between -1 and -2.
[tex]b\leq -1.25[/tex], so the number line is shaded from the circle to negative 5.
A number line going from negative 5 to positive 5 is the required solution if a solid circle appears between negative 1 and negative 2. The number line is shaded from the circle to negative 5.
Therefore, the correct option is A.
Answer:
the correct answer is option C
Step-by-step explanation:
I fixed my mistake from choosing option A
Evaluate the following expression. $$(10 + 2) \div 6 + 5^3$$
Answers
Answer:5
Step-by-step explanation:
A certain test is scored by adding 1 point for
each correct answer and subtracting 1/4 of a
point for each incorrect answer. If Jan answered
31 questions correctly and 9 questions incor-
rectly, what was her score?
a. 28 3/4
b. 28 1/4
c. 26
d. 22 1/4
Answers
Answer:
A
Step-by-step explanation:
31 correcct answers gives her 31 points, then you subtract 9/4 for the 9 incorrect answers to get twenty eight and 3/4
If you buy a car wash at the gas station for $6.00, the cost per gallon is $2.35. Use your equation from the previous question to find how many gallons of gas you could buy with 40 dollars.
help asap if you do you will get the crown thingy
Answers
Answer:2.35x+6.00=y
x=number of gallons of gas
Step-by-step explanation:
PLS HELP PLSSSSSSS QUICK
Answers
(13.2 + 11.9 + 11.8 + 9.7 + x)/5 = 12.2
46.6 + x/5 = 12.2
46.6 + x = 61
x = 14.4
the heaviest fish weighs 14.4 lbs
In which quadrant does the terminal side of your angle lie if sec theta < o and cot theta < o ?
Answers
Answer:
The endpoint of an angle
x
lies in the 4th quadrant. Here is why.
First of all, let's recall a few definitions.
Recall the definition of a trigonometric function
sec
(
x
)
:
sec
(
x
)
=
(by definition)
=
1
cos
(
x
)
Recall the definition of a trigonometric function
cot
(
x
)
:
cot
(
x
)
=
(by definition)
=
cos
(
x
)
sin
(
x
)
Step-by-step explanation:
jhyjyujtyuyju
5- ܫ ܐx
.9
Use square roots
Answers
A sweater us on sale for $16, which is 80% of the original price. What is the original price of the sweater?
Answers
Answer:
$28.80
Step-by-step explanation:
16 times 0.8 = 12.8 + 16 = 28.80
What is the equation of the line described below written in slope-intercept form? the line passing through point (2,4), parallel to the line whose equation is y = x
A. y=x + 2
B. y = -x + 2
C. y=-X
Answers
Answer:
y = x + 2
Step-by-step explanation:
solve for x
(3/x-c)=(4/x-d)
Answers
9514 1404 393
Answer:
x = 4c-3d
Step-by-step explanation:
Cross multiply, separate variables terms and constant terms.
[tex]3(x-d)=4(x-c)\\\\3x-3d=4x-4c\\\\4c-3d=x\qquad\text{add $4c-3x$}\\\\\boxed{x=4c-3d}[/tex]
Look at the image above please! Could someone please do this for me. I have no idea what to do. Please its due today
Answers
Answer:
W perimeter = 40
Step-by-step explanation:
All the sides of the squares equal the same amount.
If the perimeter of R is 28 divide 28 by 4 to give you 7.
And to get the area of a square you do length x width
So T would be 3 x 3 = 9
And it you add up 7 + 3 the sides on R and T = 10
So the left side on square W = 10
To get the perimeter multiply 10*4 = 40
I'm 90% sure, but hope this helps!!!
Container I currently contain 4.6 gallons of water and is being filled at a rate of 1.2 gallons per minute. Container II currently has 54.6 gallons of water and is being drained at a rate of 0.8 gallons per minute. After how many minutes will both containers have the same amount of water?
Answers
Answer: After 25 minutes both containers will have the same amount of water.
Step-by-step explanation:
Let x = Number of minutes
y= Quantity of water
For container I, Quantity of water will be :
y = 4.6+ 1.2x
For container II, Quantity of water will be :
y = 54.6-0.8x
According to the question, we have
4.6+ 1.2x = 54.6-0.8x
Add 0.8x on both sides and subtract 4.6 on both sides , we get
1.2x+8x = 54.6-4.6
⇒ 2x = 50
Divide both sides by 2, we get
x= 25
So after 25 minutes both containers will have the same amount of water.
Step-by-step explanation:
if C (-6,4) is rotated 180 degrees around the origin, the image point C’ would be ?
Answers
Answer:
6,4
Step-by-step explanation:
The average fun size Snickers bar has the mass of 20.1 grams with a standard deviation of 0.7 grams What percent of Snickers bars have a mass more than 21.5 grams?
Answers
Step-by-step explanation:
The “fun size” of a Snickers bar is supposed to weigh 20 grams. Because the penalty for selling Snickers candy bars that weigh less than 20 grams is so severe, the manufacturer calibrates the machine so that the mean weight is 20.2 grams. The quality control manager at the candy company is concerned that the candy produced does not weigh 20.2 grams. She obtains a random sample of 64 candy bars and weighs them. She finds that the mean weight of this sample is 20.05 grams with standard deviation 0.72. By answering the following questions, test the claim that the Snickers bars have a mean weight less than 20.2 grams at the level of α = 0.01.
1. Select from the following list all the requirements that are met in this problem scenario for this test: (circle your choice(s))
a. The population is approximately normal.
b. The population standard deviation is known.
c. The sample taken is a random sample.
d. The population standard deviation is unknown. e
. The degrees of freedom is 0.01.
f. The sample size is greater than 30.
2. Which of the following statements is correct?
a) Parameters describe sample characteristics.
b) Statistics describe population characteristics.
c) We use statistics to estimate the value of parameters.
d) We use parameters to estimate the value of statistics
Expert Answer
The percent of Snickers bars which have a mass more than 21.5 grams is equal to 2.28%.
To find the percentage of Snickers bars with a mass more than 21.5 grams,
use the concept of standard normal distribution.
Calculate the z-score for 21.5 grams.
The z-score is a measure of how many standard deviations a particular value is away from the mean. It can be calculated using the formula:
z = (x - μ) / σ
where x is the value we want to find the z-score for, μ is the mean, and σ is the standard deviation.
Here
x = 21.5 grams
μ = 20.1 grams (mean)
σ = 0.7 grams (standard deviation)
z = (21.5 - 20.1) / 0.7
z = 1.4 / 0.7
z = 2
The percentage of values greater than the z-score in the standard normal distribution calculator.
The percentage of values greater than 2 standard deviations from the mean is approximately 2.28%.
Therefore, approximately 2.28 percent of Snickers bars have a mass more than 21.5 grams.
learn more about percent here
brainly.com/question/15550174
#SPJ2
If h(x) = 5 + x and (x) -
, which expression is equivalent to (kºn)(x)?
Answers
Answer:
1/(5+x)
Step-by-step explanation:
The explanation for this is your just substituting 5+x for the x in the 1/x
Hope this helps ! :)
will you guys help me with anything i need?
(don't listen about the subject for now i just need to know)
Answers
Answer:
Ummm yeah , i'm literally a nice person and a good listener .
Step-by-step explanation:
Can i pls have brainly ? <3
Answer:
yes
Step-by-step explanation:
hjoyybhfddsjjsjajajdhvdbenwkwq
what a number named as a googolplexian might be ?
Answers
Answer:
A 1 with a hundred 0's following it
Step-by-step explanation:
7
Pls answer I’m to tired for this
What is the midpoint
between (-2, -3) and
(1, 2)?
a) (-1,-)
b) (-:-)
c) (-1,-)
d) (-3,-)
Answers
Answer:
I think it's B
...........
Answer:
d
Step-by-step explanation:
Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is
( [tex]\frac{x_{1}+x_{2} }{2}[/tex], [tex]\frac{y_{1}+y_{2} }{2}[/tex] )
Here (x₁, y₁ ) = (- 2, - 3) and (x₂, y₂ ) = (1, [tex]\frac{1}{2}[/tex] ), thus
midpoint = ( [tex]\frac{-2+1}{2}[/tex], [tex]\frac{-3+\frac{1}{2} }{2}[/tex] ) = ( [tex]\frac{-1}{2}[/tex], [tex]\frac{-3+\frac{1}{2} }{2}[/tex] ) = ( - [tex]\frac{1}{2}[/tex], [tex]\frac{-\frac{5}{2} }{2}[/tex] ) = ( - [tex]\frac{1}{2}[/tex], - [tex]\frac{5}{4}[/tex] ) → d
THESE FRKN TEACHERS MAKE NO SENSE THEIR CLUELESS SOMEONE HELP AND JUST WRITE THE ANSWER ILL BRAINLLIST
Answers
Answer:
Whats F five is that a point or something???
Step-by-step explanation:
Answer:
OK here:
Step-by-step explanation:
I assume the teacher is saying that you have (d) dollar coins and (f) five cent coins where d and f are unknown numbers numbers. So:
I also assume when the teacher asks how many coins the person has, it is the number of coins total where both a dollar coin and five cent coin count as 1.
a) d + f
b) 3d + f - 7
c) d + f + 25