Which reason is missing in step 2?
CPCTC
definition of supplementary angles
triangle parts relationship theorem
O triangle angle sum theorem
Answers
ΔHKJ and ΔLNP are similar triangle due to equal pair of corresponding angles .
What are Similar Triangles?Similar triangles are defined as two triangles with the same shape, equal pair of corresponding angles, and the same ratio of the corresponding sides.
Given,
m∠H = 30°
m∠J=50°
m∠P=50°
m∠N=100°
In triangle ΔHKJ
m∠H = 30°
m∠J=50°
m∠K= 180°- (m∠H+m∠J) = 180°-(30°+50°)
m∠K= 100°
In ΔHKJ and ΔLNP,
m∠J = m∠P= 50°
m∠K= m∠N= 100°
According to Angle-Angle (AA) rule, two triangles are said to be similar if two angles in one particular triangle are equal to two angles of another triangle.
Thus, ΔHKJ and ΔLNP are similar triangle due to equal pair of corresponding angles.
Hence, ΔHKJ ~ ΔLNP
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Related Questions
The proportional relationship between the number of inches a candle has burned away, b, at any time in hours, t, can be represented by the equation b = 0.25tb=0.25t. What is the constant of proportionality from the time in hours to the inches of candle that has burned away?
Answers
Answer:
k = 0.25t^2
Step-by-step explanation:
Given the equation :
b = 0.25t
b = number of inches that has burned away
t = time
From our knowledge of variation;
Since candle length will decrease with time ;
b α 1/ t
b = k/t
Where k is the proportionality constant
Comparing the equation :
b = 0.25t
k/t = 0.25t
k = 0.25t^2
12x + 10x what is the awnser
Answers
Answer:
22x?
Step-by-step explanation:
is there more to this question? if not its just simple addition and then add "x" at the end
49, 50, 52, 58, 61, 63, 66, 68
Part A What is the median of the data set?
Answers
Answer
59.5
Step-by-step explanation:
This is what I think!
-8d-5d+7d=72 can you help me figure out d
Answers
Answer:
d = -12
Step-by-step explanation:
Add -8 -5 +7
take that number : -6
72 divided by -6 = -12
d = -12
Find the zeros of the function.
Enter the solutions from least to greatest.
f(x) = 5x^2 – 20
Answers
Answer:
x=-2, 2.
Step-by-step explanation:
5x^2-20=0
factor out the 5
5(x^2-4)=0
5(x+2)(x-2)=0
(x+2)(x-2)=0/5
(x+2)(x-2)=0
x+2=0, x-2=0
x=0-2=-2,
x=0+2=2.
A bird goes from a higher location to a lower location at a rate of 3 meters per second. Which equation models the change in the bird's position at 120 seconds?
a. 120(-3) = -360
b. 120 x 3 = 360
c. (-120)(-3) = -360
d. 120(-3) = 360
Answers
Answer:
D
Step-by-step explanation:
We know that every second the bird's position lowers by 3(-3) so the equation for it is option D
Answer:
its A i got got right on my test
Step-by-step explanation:
A.P.E.X.
factor 2x² + 9x + 4
blah blah blah random charactors
Answers
Answer:
revers card
Step-by-step explanation:
Answer:
( 2 x + 1 ) ( x + 4 )
Step-by-step explanation:
Pleaseeeee helpppp !!!!!!! Will mark Brianliest !!!!!!!!!!!!!!
Answers
Answer:
x = 6
Step-by-step explanation:
This means that they are equivalent to each other.
10 = 30 *Multiply by 3
2 = x
Since we multiplied by 3 to get 30, x is just 2 mulitplied by 3.
x = 6
Answer:
Hi
the answer would be:
10/40 = 2/2+x => if you solve the equation, it'll be equal to : x = 6
I hope that it's correct.
Step-by-step explanation:
An elevator can carry 800 pounds of weight.
A football player weighing 280 pounds gets on the elevator with a student weighing 95 pounds. Write and solve an inequality representing the
remaining weight x that can be added.
Answers
Answer:
800 > x + 375
x < 425
Step-by-step explanation:
800 > x + 375
425 > x
In AJKL, if m2 J = 90°, then K and j are
A) Complementary
O B) Congruent
O C) Obtuse
OD) Right
Answers
Help!!
Find the solution of this system of equations
x- 10y = -59
-4x + 10y = 86
Answers
Answer:
x - 10y = -59
(+)-4x + 10y = 86
-3x = 27
x = -9
substitute x into x - 10y = -59
-9 -10y = -59
-10y = -50
y = 5
On 12/1/2020 a total of 14,108,603 people in the US have tested positive for the Coronavirus-19 (CV-19). If the daily rate of increase stays at 1.2% (as has been for the past 30 days), how many people would be expected to have tested positive by 12/31/2020 (n=30 days later)? Compounding is continuous.
a. 20,222,275
b. 516, 349. 960
c. 14, 625,765
d. 28,985,182
Please ANSWER ASAP!!!
Answers
Answer:
C
Step-by-step explanation:
Dimas is playing a game that uses a number cube. The sides of the cube are labeled from 1 to 6. Dimas wants to roll a 2 or 3. He rolls the number cube one time
Answers
Answer:
B. 1/3
Step-by-step explanation:
The total number of sides in the cube are 6 (1,2,3,4,5,6). If Dimas only wants to roll either a 2 or 3 then that would mean that he has 2 chances out of the total 6 probable outcomes to roll one of those numbers. Therefore, in order to find the probability of this happening in a single roll we need to divide the number of times that his two choices appear on the dice by the total number of sides the dice has, like so...
2 / 6 = x
If we simplify it would give us [tex]\frac{1}{3}[/tex]
Please help me circles.....
Answers
Answer:
95
Step-by-step explanation:
The equation is
x×2=285-x
3x=285
x=95
Answer:
x = 75°
Step-by-step explanation:
There are many Circle Geometry Rules. We will be using the following:
The angle at the centre of the circle is twice the angle at the circumference.
x = the angle opposite 285 - x.
This means that 360 - (285 - x) = 2x
360 - 285 + x = 2x
75 + x = 2x
We can simplify this by taking away x from both sides.
75 = x
We can check this by substituting x into the orginal equation.
360 - (285 - x) = 2x
360 - (285 - 75) = 2 * 75
360 - 210 = 2 * 75
150 = 2*75
150 = 150
what is the slope intercept form of a linear function
Answers
Answer:
In the slope-intercept form you use the slope of the line and the y-intercept to express the linear function. ... y=mx+b. Where m is the slope and b is the y-intercept.
Step-by-step explanation: I hope this helps
Answer:
y=mx + b
Step-by-step explanation:
Please ASAP I WILL MARK YOU AS BRANLIEST
The area of a garden plot can be represented by the expression 84z - 54. The garden will be divided into six sections for planting six different vegetables. The sections will be equal in area. Write an expression that represents the area of each section.
Answers
Answer:
14z-9
Step-by-step explanation:
[tex]\frac{84z-54}{6}[/tex]
PLEASE HELP ASAP!!!
Find the values of the variables and round to the nearest hundredth if necessary.
Answers
Answer:
x = 1.73
y = 2.45
z = 1.41
Step-by-step explanation:
1/z = z/2
z^2 = 2
z = sqrt(2)
1^2 + z^2 = x^2
1 + 2 = x^2
x^2 = 3
x = sqrt(3)
z^2 + 2^2 = y^2
2 + 4 = y^2
y^2 = 6
y = sqrt(6)
x = 1.73
y = 2.45
z = 1.41
15. Write the first four terms of the sequence:
a. f(n) = −2[tex]n^{2}[/tex] + 4
b. f (1) = 7, f(n)= −4 ∙ f(n-1) − 1 + 15
Answers
Answer:
16 17
Step-by-step explanation:
The mean (average) weight of three dogs is 38 pounds. One of the dogs, Shaggy, weighs
46 pounds. The other two dogs, Eda and Bruno, have the same weight. Find Eda's weight.
Answers
Please answer !!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!
Answers
Answer:
x = 55 degrees
Step-by-step explanation:
180 - 164 = 16. 16 + 109 = 125. A triangle's angles should add up to 180, so to find the value of x, subtract 180 by 125 and you'll get 55.
Answer:55
Step-by-step explanation:
Steps below
I would think your section of wilderness will be satisfied is the new wildlife refuge has its dimensions are 5×10 to the fifth power meters by 4×10 to the 4th m find the area of land in square meters
Answers
Answer:
2×10¹⁰ m²Step-by-step explanation:
Dimensions of rectangle:
5×10⁵ m and 4×10⁴ mThe area is the product of the two dimensions:
5×10⁵ m × 4×10⁴ m =20×10₉ m² =2×10¹⁰ m²find the sum:
13,16,19,...301
thanks!
Answers
Answer:
349
Step-by-step explanation:
please give thanks by clicking the heart :)
349
Dorian buys 2 pound's of almond's for 21.98 and 3 pound's of dried apricots for 26.25 which is less expensive per pound how much less expensive
Answers
Answer: Dried apricots are less expensive they are $8.75
Step-by-step explanation: I divided 21.98 by 2 and got 10.99 then I divided 26.25 by 3 and 8.75 which makes dried apricots less expensive
Javier and Ebony track the number of steps they walk. Javier records a walk of 6000 steps in 50 minutes. Ebony describes her step rate with the equation y=118, where y is the number of steps and x is the number of minutes she walks. This week, Javier and Ebony each walk a total of 5 hours. Who walks more steps?
Answers
Answer:
Javier walks more steps than ebony given the same minutes
Step-by-step explanation:
Javier records a walk of 6000 steps in 50 minutes.
Ebony describes her step rate with the equation y=118x
Where,
y = number of steps
x = number of minutes she walks
Javier and Ebony each walk a total of 5 hours. Who walks more steps?
5 hours = 5 × 60 minutes
= 300 minutes
Javier records a walk of 6000 steps in 50 minutes.
6000 : 50 minutes = x : 300 minutes
6000/50 = x / 300
Cross product
6000 * 300 = 50 * x
1,800,000 = 50x
x = 1,800,000 / 50
= 36,000
x = 36,000
Javier walks 36,000 steps
Ebony describes her step rate with the equation y = 118x
x = 300 minutes
y = 118(300)
= 35,400
y = 35,400
Ebony walks 35,400 steps
Therefore,
Javier walks more steps than ebony given the same minutes
What is the slope of the line?
Answers
This hurts my brain cells help me
Answers
What question are you asking?
Similar to changes in elevation, temperature changes are often expressed as sums and differences of positive and negative rational numbers.
Search the Internet for a website that gives the average monthly high and low temperatures (in degrees Celsius) in Nuuk, Greenland, and in Isla Hoste, Chile. Then answer the following questions based on your research. Answers will vary depending on the website you selected. Document the website you used in the Resources section at the end of this activity.
Part A
What are the average high and low temperatures (in degrees Celsius) for Nuuk in January?
Part B
What are the average high and low temperatures (in degrees Celsius) for Isla Hoste in August?
Part C
In Nuuk, what is the average net change in temperature, from the high to the low, in January?
Part D
In Isla Hoste, what is the average net change in temperature, from the high to the low, in August?
Part E
Which city experiences a larger absolute change between the high temperature and low temperature, Nuuk in January or Isla Hoste in August?
Part F
On a thermometer, how many times farther below the freezing point of water (0°C) is the January low for Nuuk than the August low for Isla Hoste?
Answers
Answer:
A.In Nuuk, Greenland, in January, the average high-temperature is -4.6°C (23.7°F), and the average low-temperature is -10°C (14°F).
B. the average high-temperature is 5.7 degrees celsius and average low temperature is 3.3 degrees celsius
C. 4 degrees celsius
D. 39 degrees fahrenheit
E. Isla Hoste in august
F.On the average, the average low in January for Nuuk is 10/3 or 3.333 times farther below the freezing point of water than the average low for Isla Hoste in August.
Step-by-step explanation:
Hope this helps OwO
a) The average high and low temperatures are -8°C and -27°C. b) The average high and low temperatures are 13°C and 7°C. c) The average net change in temperature is -19°C. d) The average net change in temperature is 6°C. e) Nuuk in January experiences a larger absolute change. f) The January low for Nuuk is 3.8 times farther below the freezing point of water than the August low for Isla Hoste.
Part A
The average high temperature in Nuuk in January is -8°C and the average low temperature is -27°C.
Part B
The average high temperature in Isla Hoste in August is 13°C and the average low temperature is 7°C.
Part C
The average net change in temperature in Nuuk in January is -27°C - (-8°C) = -19°C.
Part D
The average net change in temperature in Isla Hoste in August is 13°C - 7°C = 6°C.
Part E
Nuuk in January experiences a larger absolute change between the high temperature and low temperature, with a net change of -19°C, compared to Isla Hoste in August, with a net change of 6°C.
Part F
The January low for Nuuk is -27°C, which is 27°C below the freezing point of water. The August low for Isla Hoste is 7°C, which is 7°C below the freezing point of water. Therefore, the January low for Nuuk is 27 / 7 = 3.8 times farther below the freezing point of water than the August low for Isla Hoste.
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Are you study of a population of 1200 frogs you feel that sold out of every 180 frogs in the population has spots on the back based on the results of the other study how many frogs in the population do not have spots in the back
Answers
Answer: 1,120 frogs
Step-by-step explanation:
If 12 out of every 180 frogs in the population have spots on their backs, the number that do not are;
= 180 - 12
= 168 frogs
168 frogs out of every 180 do not have spots. Out of 1,200 that would be;
= 168/180 * 1,200
= 1,120 frogs
The mayor of melvins town choose 160 students form his school to attend a city debate. This amount is no more than 1/4 of the students in melvins school. What is the least possible number of student that attended melvins school
Answers
Answer: 640 students.
Step-by-step explanation:
given data:
number of student chosen to attend by the mayor = 160
amount this student represents of the total population = [tex]\frac{1}{4}[/tex]
solution:
since [tex]\frac{1}{4}[/tex] was chosen which is 160 this means that [tex]\frac{1}{4} is \geq 160[/tex]
therefore;
[tex]\frac{1}{4} = 160\\[/tex]
multiply both sides by 4
[tex]\frac{1}{4} . 4 = 160 .4\\= 640[/tex]
the least number of students that attend melvins school is 640.
Can someone help me?
Answers
Answer:
sorry bruv wish you the best i will pray for you
Step-by-step explanation: