What reason would you use to prove ΔFGH ≅ ΔJHK ?
Select one:
ASA
HL
SAS
cannot prove congruency
SAA
Answers
The reason that is used to prove ΔFGH ≅ ΔJHK is SAS property
If the three angles and the three sides of a triangle are equal to the corresponding angles and the corresponding sides of another triangle, then both the triangles are said to be congruent.
The two triangles need to be of the same size and shape to be congruent. Both the triangles under consideration should superimpose on each other.
According to the question,
Given : (1) ∠FGH and ∠JHK are right angles
(2) H is midpoint of GK
(3) GH ≅ JK
In ΔFGH and ΔJHK
∠FGH = ∠JHK ( right angles )GH ≅ JK (given) GH = KH ( H is midpoint of GK )Therefore , ΔFGH ≅ ΔJHK using SAS property
Hence , The reason use to prove ΔFGH ≅ ΔJHK is SAS
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Related Questions
If
9x7 = 3545 and 4x3 = 1520
What is 6x8=?
Answers
9 × 7 = 7 × 9 → (7×5)(9×5) = 3545
4 × 3 = 3 × 4 → (3×5)(4×5) = 1520
Similarly, 6 × 8 = 8 × 6 → (8×5)(6×5) = 4030
Hence, 4030 is the answer.
Ahab spent the day at the mall. First, he bought three tires for $50 each. Later, he returned one tire. After that, he found a five dollar bill. Also,he bought two jackets for $40 each. Write the total change to Ahab's funds as an integer.
Answers
The total change to Ahab's funds is -$175, which means he spent more money than he received and is now $175 poorer
To solve this problem, we need to calculate the total amount of money Ahab spent and the total amount of money he received. We can then subtract the total amount spent from the total amount received to get the total change to Ahab's funds.
The total amount spent on tires is 3 x $50 = $150.
When he returned one tire, he received a refund of $50.
He found a five dollar bill, which adds $5 to his funds.
The total amount spent on jackets is 2 x $40 = $80.
Therefore, the total amount spent is $150 + $80 = $230, and the total amount received is $50 + $5 = $55.
To find the total change to Ahab's funds, we subtract the total amount spent from the total amount received:
$55 - $230 = -$175
Therefore, the total change to Ahab's funds is -$175, which means he spent more money than he received and is now $175 poorer.
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Solve for 2x-3y=5 for y
Answers
Answer:
Y = -5/3 + 2/3x
Step-by-step explanation:
subtract x to the other side
Then divide the equation by -3
please i’ll fail if i don’t get this right. please i’ll give brainlyist The current temperature of 15°F below zero is 18°F below the high temperature of the day. What is the high temperature for the
day?
OA. 5°F
ов. 33°F
OC. 3°F
OD. 33°F
Answers
Answer:
I think its C
Step-by-step explanation:
Find each value given the following function:
Answers
Answer:
Step-by-step explanation:
1) f(-4) --> if x < or equal to 3
2) 1/(-4)-4
3) The answer is - 1/8
Simplify
5(x+1)-7(x-1)
Answers
Answer:
- 2x + 6
Step-by-step explanation:
Expand
5(x+1)-7(x-1) = 5x + 5 - 7x + 1 and upon adding, = - 2x +6
- 2x + 6 can also be written as 6 - 2x
Someone help and please make sure the answer right pls, pls help I’m confused
Answers
Answer:
it's the third bubble
Step-by-step explanation:
Answer:
n³ - 2n² - 3n + 2 + (2 / x - 4)
Step-by-step explanation:
n^4 - 6n³ + 5n² + 14n - 6
(n - 4) x n³
n^4 - 6n³ + 5n² + 14n - 6
-n^4 + 4n³
-2n³ + 5n² + 14n - 6
(n - 4) x -2n²
-2n³ + 5n² + 14n - 6
2n³ - 8n²
-3n² + 14n - 6
(n - 4) x -3n
-3n² + 14n - 6
3n² - 12n
2n- 6
(n - 4) x 2
2n - 6
-2n + 8
R. 2 / x - 4
I hope this helps!
PLS HELP ME, PLS THIS IS DUE FIRST CORRECT ANSWER GETS BRAINLIEST
Answers
Answer:
B
Step-by-step explanation:
-3/5 isn't in the reciprocal column so it stays the same
-4 5/6 improper faction which is 29/6 flip it (since reciprocal) which is 6/29 division sign to Multiplication and done
Matthew cleaned the garage in 2.5 hours he was paid x dollars per hour he then spent $3 and had $12 remaining how much was he paid per hour?
Answers
The amount that Matthew was paid per hour is given as follows:
$6.
How to obtain the amount that Matthew was paid per hour?The amount that Matthew was paid per hour is obtained applying the proportions with the amounts given in this problem. A proportion is a fraction of a total amount, using to obtain amounts in the context of a problem.
He then spent $3 and had $12 remaining, hence the total amount earned is calculated as follows:
x - 3 = 12
x = 12 + 3
x = $15.
(total amount - spent amount = remaining amount).
He earned $15 in 2.5 hours, hence the amount that Matthew was paid per hour is found applying the division of 15 by 2.5, as follows:
15/2.5 = $6.
(amount per hour = total amount divided by the number of hours).
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2.) state the equation for y
Answers
Answer:
y = 2^(x - 4)
Step-by-step explanation:
f(g(x)) = f(x - 4) = 2^(x - 4)
What are the solutions of 3x^2- x +7=0?
O A. x =
о
B. x =
O C. x =
2-9i
2+9i or x = 2-⁹⁰
6
6
1+iv83 or x =
6
-i√/83
6
1+9i
1-9i
¹+9 or x = 1-⁹
O D. x = 2+√83 or x = 2-i√/83
6
6
Answers
Answer:
x = (1 +i√83)/6 or x = (1 -i√83)/6
Step-by-step explanation:
You want the solutions to the quadratic equation 3x² -x +7 = 0.
Quadratic formulaThe solutions to the equation ax² +bx +c = 0 are given by the formula ...
\(x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\)
The given equation has a=3, b=-1, c=7, so the solutions are ...
\(x=\dfrac{-(-1)\pm\sqrt{(-1)^2-4(3)(7)}}{2(3)}=\dfrac{1\pm\sqrt{-83}}{6}\\\\\\\boxed{x=\dfrac{1+i\sqrt{83}}{6}\quad\text{or}\quad x=\dfrac{1-i\sqrt{83}}{6}}\)
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What is the equation of the line that passes through the point (2, -2) and has a
slope of -1/2
Answers
Answer:
Y= -1/2x-2
Step-by-step explanation:
1 1 x2 - 7x+10
Solve +
by rewriting the equation as a proportion.
2 2x
4x
Which proportion is equivalent to the original
equation?
2x
4x
Ox+2-7-7x+10
x-1_r? - 7x+10
x - 1
x x +1-7
-7x+10
O
2x
4x
o
2x
4x
DONE
Answers
Answer:
last one
Step-by-step explanation:
after solving that, i got the same answer from the orginail one:
x=1,x=8
The proportion is equivalent to the original equation is (x+1)/2x = x²-7x+10 / 4x [option c]
What is proportion?Proportion is a mathematical comparison between two numbers. According to proportion, if two sets of given numbers are increasing or decreasing in the same ratio, then the ratios are said to be directly proportional to each other.
Given is an equation, 1/2 + 1/2x = x²-7x+10 / 4x
We need to determine the proportion equivalent to this,
So, taking the LHS,
1/2 + 1/2x
= 2+2x / 4x
= 2(x+1) / 4x
= x+1 / 2x
Hence, the proportion is equivalent to the original equation is (x+1)/2x = x²-7x+10 / 4x [option c]
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One angle of an isosceles triangle measures 76º. Which other angles could be in that
isosceles triangle? Choose all that apply.
Answers
Answer:
52 or 28
Step-by-step explanation:
An isosceles has 2 congruent angles.
There are 2 possibilities:
A) There are two 76-deg angles and one angle of a different measure.
76 + 76 + x = 180
x = 28
B) There are two congruent angles, and 76 is the non-congruent angle.
x + x + 76 = 180
2x = 104
x = 52
Answer: 52 or 28
Find the unknown coordinate so the line through the
points has the given slope
Answers
Answer:
#1 (0,-4)
#2 (5,0)
#3 (3,1)
Step-by-step explanation:
#1. (-3, 2) (0, y) slope = -2
slope = rise/run therefore slope = -2/1 or down 2 and over 1
so from -3 to 0 you are going over 3 units (or 3 times) Therefore to find y at x=0, you have to move three steps, or 3 times -2 = -6 so 2-6 = -4
so y intercept (b) = -4 0r (0,-4)
#2 (-7,-4) (x,0) slope (m) = 1/3 -7+12=5 x=5
#3 (4,-3) (x, 1) slope (m) = -4 (4/-1) Moving one unit in slope means
-3=4=1 for Y and 4-1=3 for X therefore the point is (3, 1)
Jessica is in an art lesson. She decides to pick a coloured pencil from her pencil case at random for her next drawing.
She has 10 coloured pencils in her pencil case, and 8 of them are yellow. What is the probability, as a percentage (%), that she picks a yellow pencil?
Answers
The probability that Jessica picks a yellow pencil is 80%.
What exactly is probability?
Probability is a measure of an event's possibility or chance of occurring. It is stated as a number ranging from 0 to 1, or as a percentage ranging from 0% to 100%, where 0 indicates an impossible occurrence and 1 (or 100%) represents a certain event.
Now,
The probability of picking a yellow pencil = the number of yellow pencils / total number of pencils:
Probability of picking a yellow pencil = Number of yellow pencils / Total number of pencils
In this case, there are 8 yellow pencils out of a total of 10 pencils:
Probability of picking a yellow pencil = 8 / 10
Simplifying the fraction by dividing both the numerator and denominator by 2, we get:
Probability of picking a yellow pencil = 4 / 5
Probability of picking a yellow pencil = 4 / 5 x 100%
Probability of picking a yellow pencil = 80%
Therefore, the probability that Jessica picks a yellow pencil is 80%.
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2.
Write an equation in point-slope form for the line through the given point with the given slope.
(–3, –7); m = -6/5
A. y – 7 = -6/5 (x-3)
B. y + 7 = -6/5 (x+3)
C. y + 3 = -6/5 (x+7)
D. y – 7 = -6/5 (x+3)
Answers
Answer:
B. y + 7 = -6/5 (x+3)
Step-by-step explanation:
Use the given slope and point to substitute into the point-slope formula y − y 1 = m ( x − x 1 ) .
Slope-intercept form: y = − 6 /5 x − 53 /5
Point-slope form: y + 7 = − 6 /5 ⋅ ( x + 3 )
a student runs an experiment to test how microwave power and temperature affect popping. each bag of popcorn can be popped for 3 minutes or 4 minutes. the microwave power can be set to low, medium, and high. each combination of time and power is tested on one bag of popcorn and the number of unpopped kernels is recorded. The number of treatments in this experiment are:
• 12
• 6
• 4
Answers
Option • 12 is the answer .The number of treatments in the experiment is 12.
The understudy is directing a trial to comprehend the connection between microwave power and time on the quantity of unpopped bits in a pack of popcorn. There are three degrees of microwave power: low, medium, and high. Each sack of popcorn can be popped for either 3 minutes or 4 minutes, which provides us with a sum of double cross variables. To cover every one of the potential mixes of time and power, the understudy runs 12 distinct medicines (3 degrees of force x 2 degrees of time). Every treatment addresses one sack of popcorn that is popped for a particular time frame and with a particular power setting. The quantity of unpopped parts is recorded for every treatment, and the outcomes are utilized to make determinations about the impacts of microwave power and time on the quantity of unpopped pieces.
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Guys this is simple question
Who’s fault is it
So it was Easter and my water was at the table and about 7 inches away from the table, then my sister was reaching something competing with my cousin and then she spilled the water on the floor and there was my charger, and I hurried to dry the charger but when I charged it, didn’t work. So it ment it broke.
So who’s fault is it?
Answers
NUMBER 7Inc. intervals = increasing intervalDec. intervals = decreasing intervals
Answers
\(\begin{gathered} \text{Domain: (-}\infty,\infty) \\ \text{Range: \lbrack-5.848, }\infty) \\ relative\text{ minimum at x = -0.366} \\ \text{relative max i}mum\text{ at x =1}.366 \\ \text{Increasing interval: (-0.366},\text{ 1.366) }\cup(2,\text{ }\infty) \\ \text{Decreasing interval: (-}\infty,\text{ -0.366)} \end{gathered}\)
See explanation below
Explanation:\(\begin{gathered} 7)\text{ The domain: x values of the function} \\ \text{The domain of the polynomial is all real numbers} \\ \text{Domain: (-}\infty,\infty) \end{gathered}\)\(\begin{gathered} \text{Range: y values of the function} \\ \text{The range starts before -6 and extends towards infinity} \\ On\text{ the graph, this point is y = -5.}848 \\ \text{Range is y }\ge\text{ -5.}848 \\ \text{Range: \lbrack-5.848, }\infty) \end{gathered}\)\(\begin{gathered} To\text{ }get\operatorname{Re}l\text{ a tive maximum and minimum, we differenciate the initial polynomial:} \\ f(x)=x^4-4x^3+3x^2+4x-5 \\ f^{\prime}(x)=4x^3-12x^2\text{ + 6x + 4} \\ 4x^3-12x^2\text{ + 6x + 4 = 0} \\ \text{The roots of the }4x^3-12x^2\text{ + 6x + 4 are }-0.366,\text{ 1.366, }2 \end{gathered}\)\(\begin{gathered} \text{second derivative: }f^{\prime\prime}(x)=12x^2\text{ - 24x + 6} \\ \text{when x = }-0.366 \\ \text{roots of }12x^2\text{ - 24x + 6 = 16.39} \\ \text{when x = 1.366} \\ \text{roots of }12x^2\text{ - 24x + 6 =}-4.39 \\ \text{when x = 2} \\ \text{roots of }12x^2\text{ - 24x + 6 = 6} \end{gathered}\)\(\begin{gathered} if\text{ after inserting the the values above:} \\ \text{the 2nd derivative result is positive, it will be local minimum} \\ \text{the 2nd derivative result is negative, it will be local max imum} \\ relative\text{ minimum at x = -0.366} \\ \text{relative max i}mum\text{ at x =1}.366 \end{gathered}\)\(\begin{gathered} \text{End behaviour: }f(x)=x^4-4x^3+3x^2+4x-5 \\ \text{leading coefficient = 1 (positive), degr}ee\text{ = 4 (even)} \\ As\text{ x }\rightarrow\text{ +}\infty,\text{ f(x) }\rightarrow\text{ +}\infty \\ As\text{ x }\rightarrow\text{ -}\infty,\text{ f(x) }\rightarrow\text{ +}\infty \end{gathered}\)\(\begin{gathered} \text{Increasing interval:} \\ =\text{ (-0.366},\text{ 1.366) }\cup(2,\text{ }\infty) \\ \text{Decreasing inrterval}\colon \\ =\text{ (-}\infty,\text{ -0.366)} \end{gathered}\)
"Radon: The Problem No One Wants to Face" is the title of an article appearing in Consumer Reports. Radon is a gas emitted from the ground that can collect in houses and buildings. At certain levels it can cause lung cancer. Radon concentrations are measured in picocuries per liter (pCi/L). A radon level of 4 pCi/L is considered "acceptable." Radon levels in a house vary from week to week. In one house, a sample of 8 weeks had the following readings for radon level (in pCi/L). 1.92.45.75.51.98.23.96.9 (a) Find the mean, median, and mode. (Round your answers to two decimal places.) mean 4.55 median 4.7 mode 1.9 (b) Find the sample standard deviation, coefficient of variation, and range. (Round your answers to two decimal places.) s CV % range (c) Based on the data, would you recommend radon mitigation in this house
Answers
Answer:
a) Mean = 4.55
Median = 4.7
Mode = 1.9
b) S = 2.3952
CV = 52.64 %
Range = 6.3
c) Yes, since the average and median values are both over "acceptable" ranges.
Step-by-step explanation:
Explanation is provided in the attached document.
Kane is purchasing treats for his puppyRosco. He selects a chew toy that is priced at$9.00. If the sales tax rate is 6.5%, thendetermine how much Kane will pay in taxes, aswell as the total cost of the purchases.
Answers
hello
to solve this problem, we will first of all find 6.5% in $9.00
this would be the cost or rate of the tax
\(\begin{gathered} 6.5\text{ \% of 9.0} \\ \frac{6.5}{100}=\frac{x}{9.0} \\ x=\frac{9.0\times6.5}{100} \\ x=0.585 \end{gathered}\)the cost of the tax is $0.585
the total cost of the purchase is the sum of the cost of the chew toy plus the tax
\(9.0+0.585=9.585\)Kane spent $9.585 in the store
Using one of the two interest formulas previously discussed, how long will it take $50,000 to
grow to $900,000 at 20% annual interest compounded quarterly? Round to the nearest
tenth.
Answers
Answer:
It will take 10 weeks
Step-by-step explanation:
im biggest brain
The number of students who are enrolled in
math classes at a local college can be
represented by E= -12w+568, where
E represents the math class enrollment at the
college w weeks after the start of the fall
semester.
During which week will the total enrollment be
520 students?
Answers
Answer: 5th week
Step-by-step explanation:
E= -12w+568
520= -12w+568
520+12w=568
12w=48
w=4
4+1=5th week
Ikkita avtomobil ikki shahardan bir vaqtda bir biri tomon yo'lga chiqdi . Birinchi avtomobil 1 soatda 90 km , ikkinchisi esa 1 soatda 80 km yo'l bosmoqda . Agar ikki shahar orasidagi masofa 1304 km bo'lsa , 2 soatdan keyin ular orasida necha kilometr masofa qoladi ?The two cars drove from the two cities towards each other at the same time. The first car travels 90 km per hour and the second 80 km per hour. If the distance between the two cities is 1304 km, how many kilometers will be left between them after 2 hours?
Answers
Determine the distance covered by the first car in 2 hours.
\(\begin{gathered} d_1=90\cdot2 \\ =180 \end{gathered}\)Determine the distance covered by second car in 2 hours.
\(\begin{gathered} d_2=80\cdot2 \\ =160 \end{gathered}\)Determine the total distance covered by both cars in 2 hours.
\(\begin{gathered} d=d_1+d_2 \\ =180+160 \\ =340 \end{gathered}\)The distance left between them after two hours is difference of 1304 and 340. So left distance between them is,
\(\begin{gathered} D=1304-340 \\ =964 \end{gathered}\)Thus 964 km left between them after 2 hours.
HELP ASAP! I WILL MARK BRIANLIST! THANK YOU (:
Answers
How much money would you have to deposit today at 9% annual interest compounded monthly to have $12000 in the account after six years?
Answers
Answer:
P = $ 7007.08 option C
Step-by-step explanation:
given: r = 9% pa compounded monthly , n = 6 , Amount A = $ 12000
to find : P
formula used : A = P ( 1+r/1200)⁷²
P = A / (1 + r/1200)⁷²
P = (12000) / (1 + 9/1200)⁷²
P = 12000 / ( 1 + 3/400)⁷²
P = 12000 / ( 403/400)⁷²
P = 12000 / (1.0075)⁷²
P = 12000 / (1.71255)
pls mark brainliest
Answer:
$18480
Step-by-step explanation:
First you find what 9% of 12,000 is. You get 1080. Then you multiply that number by 6 because it has been 6 years. Then you get 6480. You then add 6480 to 12000 and get 18480.
In a random survey of 300 people about the kind of apples they preferred, 178 said they preferred red apples. Based on these results, how many people out of 4500 would say they prefer red apples?
A.1830
B.2670
C.3084
D.4322
Answers
Answer:
2670
Step-by-step explanation:
4500/300 = 15
178*15=2670
Three cats kill a total of 3 rats in 180 seconds. How many minutes would it take for 100 cats to kill 100 rats?
Answers
Answer:
6000 seconds?
Step-by-step explanation:
URGENT: Given the following information about an ellipse, write its equation: Foci: (3, 1), (3, 5) Endpoints of minor axis: (7, −2), (–1, −2)
Answers
The equation of the ellipse is \((x - 3)^2 / 16 + (y - 3)^2 / 64 = 1.\)
To determine the equation of the ellipse, we need to find its major and minor axes, as well as the distance from each focus to the center.
Given that the foci of the ellipse are located at (3, 1) and (3, 5), we can determine that the center of the ellipse is at the midpoint between these two foci, which is (3, 3).
The endpoints of the minor axis are (7, -2) and (-1, -2), which tells us that the length of the minor axis is 7 - (-1) = 8 units.
Now, let's calculate the distance from the center to one of the foci. Using the distance formula, we have:
sqrt((3 - 3)^2 + (3 - 1)^2) = sqrt(0 + 4) = 2.
Since the foci are vertically aligned, the major axis is vertical. Therefore, the length of the major axis is twice the distance from the center to one of the foci, which gives us 2 \(\times\) 2 = 4 units.
Using the standard form of the equation for an ellipse centered at (h, k), with a horizontal major axis of length 2a and a vertical minor axis of length 2b, the equation is:
\((x - 3)^2 / 4^2 + (y - 3)^2 / 8^2 = 1.\)
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