Which postulate or theorem proves that △JHG and △EFG are congruent?
SAS Congruence Postulate
ASA Congruence Postulate
HL Congruence Theorem
AAS Congruence Theorem
Answers
The postulate that proves that △JHG and △EFG are congruent is;
Option B; ASA Congruence Postulate
From the given image, we can see two triangles namely;
△JHG and △EFG
Now, we can see that;
FG = GH
That is given because we see that G has divided FH into 2 equal parts.
Also, we see the right angle sign at ∠F and ∠H of both triangles.
Thus, since they are both right angles, then we can say that;
∠EFG = ∠JHG
Also, at point G, we have two vertically opposite angles which are;
∠EGF and ∠JGH
Now, from vertically opposite angle theorem, vertically opposite angles are always equal;
Thus; ∠EGF = ∠JGH
So far, we have;
FG = GH
∠EFG = ∠JHG
∠EGF = ∠JGH
This is 2 corresponding equal angles and 1 corresponding equal side. The side is included between the two angles and as such the proof that △JHG and △EFG are congruent is the ASA Congruence Postulate.
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Related Questions
I don't get this someone help me
Answers
(7 + 3i) + (-8 + 9i)
7 + 3i - 8 + 9i
(7 - 8) + (3i + 9i)
-1 + 12i
Answer is choice A) -1+12i
Which is NOT a factor pair for 60?
A) (2, 30)
B) (3, 20)
C) (4, 12)
D) (6, 10)
Answers
The equation K = mv2 represents the energy an object has based on its motion. The kinetic energy, K, is based on the mass of the object, m, and the velocity of the object, v. Lashandra is given K and v for 10 different objects. In order to make solving more efficient, she solves the equation for m : m = . After attempting to determine the mass of a few objects, Lashandra realizes there must be something wrong with her formula. What is Lashandra’s error? She should have multiplied by 2 instead of dividing by 2. She should have multiplied by instead of dividing by 2. She should have used the square root to move the squared term to the other side of the equation. She should have squared the K when moving the v2 to the other side of the equation.
Answers
Answer:
She should have multiplied by 2 instead of dividing by 2.
Step-by-step explanation:
Note: The given equation is incorrect and second equation is missing.
Consider the given equation is
[tex]k=\dfrac{1}{2}mv^2[/tex] ...(i)
The formula find by Lashandra is
[tex]m=\dfrac{k}{2v^2}[/tex]
We need to find the Lashandra’s error.
Multiply both sides by 2 in equation (i).
[tex]2k=mv^2[/tex]
Divide both sides by [tex]v^2[/tex].
[tex]\dfrac{2k}{v^2}=m[/tex]
It means, the formula find by Lashandra is incorrect. She should have multiplied by 2 instead of dividing by 2.
Answer:
a
Step-by-step explanation:
2021 edg
Write a linear equation given the point and slope or two points (-7,13);slope =2
Answers
13=-14+b
27=b
then just put it into that form
y=2x+27
The linear equation is y = 2x+ 27.
What is linear equation?A linear equation is an algebraic equation of the form y=mx+b. involving only a constant and a first-order (linear) term, where m is the slope and b is the y-intercept.
Given:
points: (-7, 13) and slope =2
As, we know the equation of line
y= mx +b
as, the line passes through the point (-7, 13) and m= 2
13 = 2(-7) +b
13 + 14 = b
b= 27
Hence, the equation of line is y = 2x+ 27
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Which statements are true about the linear inequality y > x – 2? Check all that apply.
The slope of the line is –2.
The graph of y > x – 2 is a dashed line.
The area below the line is shaded.
One solution to the inequality is (0, 0).
The graph intercepts the y-axis at (0, –2).
Answers
slope of the line is -2.....false...the slope of the line is 1
the graph is a dashed line....true...because it does not contain an = sign
area below is shaded....false...because it is greater then
one solution is (0,0)...true...when subbed in, it comes out true
graph intercepts y axis at -2.....true...the y int is -2
The true statements about the linear inequality y > x - 2 are that the slope of the line is 1, the graph is a dashed line, the area above the line is shaded, and the graph intercepts the y-axis at (0, -2).
When analyzing the linear inequality y > x - 2, we can identify several characteristics that relate to its graph and the solutions it represents:
The slope of the line is 1, not -2. This is because the equation is in the slope-intercept form y = mx + b, where m is the slope and here m = 1.The graph of y > x - 2 is indeed a dashed line, which indicates that the line itself is not included in the set of solutions for the inequality.The area above the line is shaded because the inequality is y > x - 2, which means all the points where y is greater (above) than x-2.One solution to the inequality is not (0, 0) because when x=0 and y=0, the inequality does not hold true (0 is not greater than -2).The graph intercepts the y-axis at (0, -2), which is the point where the line crosses the y-axis. This corresponds to the b term in the equation y = mx + b.Which of the following proportions is false?
10/25=40/100
18/48=20/50
25/45=75/135
24/30=20/25
Answers
Lets start with A!
What you first want to do is cross multiply so...
10 * 100 = 25 * 40
Simplify
1000 = 25 * 40
1000 = 1000
Add -1000 to both sides
1000 - 1000 = 1000 - 1000
0 = 0. (This proportion is true)
Moving on to B
Same steps!
18 * 50 = 48 * 20
900 = 48 * 20
900 = 960 (This is false therefore B is our answer however we want to check the others as well)
C is...
25 * 135 = 45 * 75
3375 = 45 * 75
3375 = 3375
3375 - 3375 = 3375 - 3375
0 = 0 (True)
D is....
24 * 25 = 30 * 20
600 = 30 * 20
600 = 600
600 - 600 = 600 - 600
0 = 0 (True)
One side of a triangle is x in., another side is 2x in., a third side is 2x in., and the perimeter is 36 in.
Answers
The frequency (F) and length (L) of a wave are related by the following formula: F x L = 3.0 x 10^10. Consider that the wavelength of violet light is 1.3 x 10^−8. What is the frequency of violet light?
A) 1.7 x 102
B) 2.3 x 102
C) 2.3 x 1018
D) 4.3 x 107
Answers
Answer:
B: 2.3 x 10^18
expination:
Substitute values into the formula.
F x L = 3.0 x 10*10
F x 1.3 x 10^−8 = 3.0 x 10^10
F = 3.0 x 10^10 1.3 x 10^−8 F = 2.3 x 10^18
If Alicia can read 3 pages in 1 minute, how long would it take her to read 33 pages?
Answers
divide total pages by pages per minute
33 / 3 = 11 minutes
Jaimie swims 12 the length of the swimming pool every 14 of a minute. Enter the number of lengths of the swimming pool Jaimie swims per minute.
Answers
These are the first sentences in the short story, "The Gift of the Magi," by O. Henry: "One dollar and eighty-seven cents. That was all. And sixty cents of it was in pennies." Model the scenario with an equation. Let q be the number of quarters, d be the number of dimes, and n be the number of nickels.
Answers
60 cents in pennies = $.60
Each quarter is $.25, each dime is $.10, and each nickel is $.05.
1.87=q*.25+d*.10+n*.05+.60
The model which represents the total amount in terms of pennies, quarters, dimes and nickel is 0.25q + 0.10d + 0.05n + 0.60
Total amount = $1 and 87 cents = $1.87Amount in pennies = 60 cents = $0.60Number of Quarters, Nickel and Dimes = q, n and d respectively 1 quarter = $0.25 ; 1 dime = $0.10 ; 1 nickel = $0.05To create a mathematical model of the total amount :
Total worth of Quarters = 0.25qTotal worth of dimes = 0.10dTotal worth of nickel = 0.05nTotal worth of pennies = $0.60Total amount = 0.25q + 0.10d + 0.05n + 0.600.25q + 0.10d + 0.05n + 0.60 = 1.87Therefore, the model which represents the total amount is 0.25q + 0.10d + 0.05n + 0.60
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Find the discount price for a cell phone that is on sale for 15% off if the original price is $75? $60.00 $63.75 $64.25 $86.25
Answers
Since the discount is 15%, the sale price will be 100% - 15% of the original price. 100% - 15% = 85%
Find 85% of the original price,
85% of $75 =
= 85% * $75
= 0.85 * $75
= $63.75
70-11.25= $63.75
Your final answer is $63.75
a class has 27 students.15 are boys the rest are girls. what is the ratio of girls to total students?
Answers
Karl is purchasing a $205,000 home with a 30-year mortgage at 5.5%. Because he is not making a down payment, PMI in the amount of $97.50/month is required for the first 2 years of the loan. Based on this information, what is the total cost of this loan?
Answers
Answer:
The total loan payment is:is $1,024,050
Step-by-step explanation:
To know the total cost of this loan we must sum the the purchasing the mortgage loan LM and the PMI:
L=LM+PMI
The 30-year mortgage loan of $205,000 at 5.5% interest rate can be calculated as:
LM=$205,000*(1+0.055)^30
LM=$205,000*4.984 = $1,021,710
Then for the PMI over 24 months:
PMI: $97.5* 24 = $2,340
Therefore the total loan payment is:
L= $1,021,710 + $2,340 = $1,024,050
porfavor me pueden decir Cuanto es 2x2
Answers
Si es 2x^2, ya esta en forma simplificada, y no hay mas que le puedes hacer.
Si es 2 por 2, la respuesta es 4.
Please help!
A circle has center O(−3, 1) and radius 10. Which of the following points is on the circle?
V(−3, −4)
X(5, −2)
Y(−6, 0)
Z(5, 7)
Answers
this equation is a derivative of the equation of a circle
x^2 + y^2 = r^2
This is from the origin. If we move the in x or y then the radius will change positions in x or y
with h = -3 and k = 1
we can plug in each set of numbers and solve.
we find Z to be on the circle edge!
Write each equation in slope-intercept form of the equation of a line. Underline the slope and circle the y-intercept in each equation.
a) 3x+4y–12=0
b) 2x+y=1
Answers
Answer:
Step-by-step explanation:
Slope-intercept form of the equation is y = mx + c
Where m = slope of the line
c = y- intercept
a). 3x + 4y - 12 = 0 [Standard form of the equation of a line]
4y + 3x = 12
4y = 12 - 3x
[tex]y=\frac{1}{4}(-3x+12)[/tex]
[tex]y=-\frac{3x}{4}+\frac{12}{4}[/tex]
[tex]y=-\frac{3x}{4}+3[/tex]
Here slope of the line is [tex]-\frac{3}{4}[/tex] and y-intercept is 3.
b). 2x + y = 1
y = -2x + 1
Slope of the line is -2 and y intercept is 1
f(x) = -1/3 x + 7 determine the input that would give an output value of 2/3
Answers
f(x) = -1/3x + 7
2/3 = -1/3x + 7 ...multiply everything by 3
2 = -x + 21
2 - 21 = - x
- 19 = -x
19 = x <== ur output
Answer:
The correct answer is (19).
Step-by-step explanation:
A ladder is leaning against a building. the distance from the bottom of the ladder to the building is 16 ft shorter than the length of the ladder. how high up side of the building is the top of the ladder if the distance is 8 ft less
Answers
Pythagorean right triangle
a^2 + b^2 = c^2
Let the length of the ladder be x.
One side is x - 16.
The other side is x - 8.
(x-16)^2 + (x-8)^2 = x^2
x^2 - 32x + 256 + x^2- 16 x+64 = x^2
x^2 - 48 x + 320 = 0
( x- 40 ) (x-8) = 0
x = 40 or x= 8
we discard the second so x = 40
Mrs. smith's reading class can read a mean of 175 words per minute with a standard deviation of 20 words per minute. the top 3% of the class is to receive a special award. assuming that the distribution of words read per minute are normally distributed, what is the minimum number of words per minute a student would have to read in order to get the award?
Answers
From a normal curve table, the z-score that corresponds to 47% from the value to the mean is a z-score of 1.88. Since the z-score represents the number of standard deviations, the value we are looking for is 175 words + (20 * 1.88) = 175 + 37.6 = 212.6.
Your entry into the Final Exam Shell should be 213.
If Mrs. smith's reading class can read a mean of 175 words per minute with a standard deviation of 20 words per minute. The top 3% of the class is to receive a special award. The minimum number of words per minute a student would have to read in order to get the award will be: 213 words per minute
Using this formula
Minimum number of words =(z score× standard deviation) + means
Where:
z score=(100%-3%=97%)
z score= 97%=1.881
Standard deviation=175
Mean=20
Let plug in the formula
Minimum number of words =(1.881×20) + 175
Minimum number of words =37.62+175
Minimum number of words =212.62
Minimum number of words =213 (Approximately)
Inconclusion if Mrs. smith's reading class can read a mean of 175 words per minute with a standard deviation of 20 words per minute. The top 3% of the class is to receive a special award. The minimum number of words per minute a student would have to read in order to get the award will be: 213 words per minute
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I’m needin sum help.-.
Answers
y = 4x+4
give x a number that is on the X axis line to make it a little easier
so lets say x = 2
replace x in the equation with 2
y = 4(2) +4
so y = 8+4 =12
s0 put a dot where x is 4 and y is 12
do the same thing with another number then draw a straight line through both those points
The value of y when x is 3 in the equation "y = 4x + 4" is 16. This linear relationship reflects a consistent rate of change, with each unit increase in x corresponding to a 4-unit increase in y.
In the equation "y = 4x + 4," to find the value of y when x is 3, we substitute x with 3:
y = 4(3) + 4
y = 12 + 4
y = 16
Therefore, when x is 3, y is 16. This means the point on the graph is (3, 16). The equation represents a linear relationship where y depends on x with a constant rate of change of 4. For every 1-unit increase in x, y increases by 4 units due to the coefficient of x.
In summary, for the given equation "y = 4x + 4," when x is 3, y is 16. This relationship indicates a straight line with a slope of 4 and a y-intercept of 4.
The question probable may be;
Given the equation y = 4x + 4 find the value of y when x = 3.
A rectangle is 4 cm longer than it is wide, and its area is 117 cm2 . find its dimensions.
Answers
4 cm longer than it is wide L = 4 + W
L x W = 117 we replace L here
(4 + W ) x W = 117
4W + W ^2 = 117
4W + W ^2 -117 = 0
W ^2 +4 W -117 = 0
W² + 4W - 117 = 0
THEN u want to use the use the quadratic formula
OR Factoring gives us
(W + 13)(W - 9) = 0
W = -13 or 9
But it can't be negative, so
W = 9 and L= 9+4 = 13
The length and width of the rectangle are [tex]13[/tex] cm and [tex]9[/tex] cm respectively whose area is [tex]117 cm^2[/tex].
Let the width of the rectangle be [tex]x[/tex].
Then the length of the rectangle is [tex]x+4[/tex].
Area of a rectangle [tex]=[/tex] length [tex]\times[/tex] width
Area [tex]= 117 cm^2[/tex]
[tex](x+4) \times x = 117[/tex]
[tex]x^2+4x=117[/tex]
[tex]x^2+4x-117=0[/tex]
[tex]x^2+13x-9x-117=0[/tex]
[tex]x(x+13)-9(x+13)=0[/tex]
[tex](x+13)(x-9)=0[/tex]
[tex]x+13=0, x-9=0[/tex]
[tex]x=-13, x=9[/tex]
Since, length cannot be negative. So, [tex]x=-13[/tex] is not possible.
So, [tex]x=9[/tex].
And [tex]x+4=13[/tex]
So, length [tex]= 13[/tex] cm and width [tex]= 9[/tex] cm.
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A smaller number is 3 less than half a larger number. The larger number is 10 times 1 less than the smaller number. Let x represent the smaller number, and let y represent the larger number. Which equations can be used to model the situation? Check all that apply.
Answers
then the number is 1/2y-3. hope this was helpful.
Answer:a and e
Step-by-step explanation:
Got it right
What is this equation in slope-intercept form? -3x-2y=30
Answers
I hope this helps :)
Does this graph represent a function? why or why not ?
Answers
---------------------------------------------
---------------------------------------------
Explanation:
The vertical line test is a test to see if it is possible to pass a single vertical line through more than one point on the curve. Since it is not possible to do so, the curve has passed the vertical line test. Passing the vertical line test indicates we have a function. Any x value you plug in will produce exactly one (and only one) y value. If the graph failed the vertical line test, then an x value would produce more than one y values which goes against what a function is.
Which of the following is the most appropriate unit to describe the rate at which a person reads?
A. Minutes per word, because the independent quantity is the minutes
B.Minutes per word, because the independent quantity is the words
C.Words per minute, because the independent quantity is the minutes
D.Words per minute, because the independent quantity is the words
Answers
hope this helps!
is -1/17 a repeating decimal
Answers
A repeating decimal, also called a recurring decimal, is a number whose decimal representation eventually becomes periodic (i.e., the same sequence of digits repeats indefinitely). The repeating portion of a decimal expansion is conventionally denoted with a vinculum so, for example,
The minimum number of digits that repeats in such a number is known as the decimal period.
Repeating decimal notation was implemented in versions of the Wolfram Language prior to 6 as PeriodicForm[RealDigits[r]] after loading the add-on package NumberTheory`ContinuedFractions`.
All rational numbers have either finite decimal expansions (i.e., are regular numbers; e.g., ) or repeating decimals (e.g., ). However, irrational numbers, such as neither terminate nor become periodic.
Numbers such as 0.5 are sometimes regarded as repeating decimals since.
A right triangle has a leg measuring 52 m and a hypotenuse measuring 63 m. find the length of the other leg.
Answers
the length of the other leg= (63^2-52^2)^1/2
hope this helps :)
What is the period, in seconds, of a simple pendulum of length 2 meters? Use the gravitational constant g = 9.8 m/s^2 and round your answer to two decimal places.
Answers
Answer:
The period, in seconds to two decimal places is, 2.84 sec
Step-by-step explanation:
Using formula:
[tex]T = 2 \pi \sqrt{\frac{l}{g}}[/tex] ......[1]
where
T represents the Time period in second
l represents the length of the pendulum/
As per the statement:
Use the gravitational constant g = 9.8 m/s^2 , length of the simple pendulum(l) = 2 meters and [tex]\pi = 3.14[/tex]
Substitute the given values we have;
[tex]T = 2\cdot 3.14 \cdot \sqrt{\frac{2}{9.8}}[/tex]
⇒[tex]T = 6.28 \cdot \sqrt{\frac{1}{4.9}}=6.28 \cdot \frac{1}{2.21359436212}= \frac{6.28}{2.21359436212} = 2.83701481512[/tex]
Therefore, the period, in seconds to two decimal places is, 2.84 sec
Answer:
2.84 seconds
Step-by-step explanation:
Are these answers correct? If not, what would the answers be?
Answers
For anyone curious,
rd = removable discontinuity
id = infinite discontinuity
c = continuous