4. Triangle HEF is the image of triangle FGH after a 180 degree rotation about point K. Select all statements that must be true.
a. Triangle FGJ is congruent to triangle FEH.
b. Triangle EFH is congruent to triangle GFH.
c. Angle KHE is congruent to angle KFG.
d.Angle GHK is congruent to angle KHE.
e. Segment EH is congruent to segment FG.
f. Segment GH is congruent to segment EF.
Answers
Answer: C, E, F
Step-by-step explanation: dude tbh idek but ik that it’s the right answer
The true statements are:
Angle KHE is congruent to angle KFG.Segment EH is congruent to segment FGSegment GH is congruent to segment EF.Given:
Triangle HEF is the image of triangle FGH after a 180-degree rotation about point KAnd Six statementsTo find:
The true statements out of given sic statements.
Solution:
ΔHEF is the image of ΔFGH after a 180°rotation about point K.
This simply implies that ΔFGH is congruent to ΔHEF. As no dilation is done while rotation of the ΔFGH.
In congruent ΔFGH and ΔHEF
HF = HF (common)GH = EFFG = EH∠FGH=∠HEF∠GFH=∠EHFCan also be written as:
⇒ ∠KFG=∠KHE
∠GHF=∠EFHCan also be written as:
⇒ ∠GHK=∠EFK
So, from the given statements the true statements are:
Angle KHE is congruent to angle KFG.Segment EH is congruent to segment FGSegment GH is congruent to segment EF.Learn more about the congruency of triangles here:
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Related Questions
Determine the intercepts of the line.
x-intercept(_,_)
y-intercept(_,_)
Answers
Answer:
the x-intercept is (-10, 0) the y-intercept is (-45, 0)
Answer:
X intercept is (-10,0)
Y intercept is (0,-40.5)
Step-by-step explanation:
Hope this helps.
what is the measure of the line segment AB if D is between A and B, AD = 7, and DB = 12?
Answers
Answer:
Given AD = 7 and DB = 12, to find AB you need to add them
AB = 12+7
AB = 19
The measure of the line segment AB is 19 units.
What are the coordinates of midpoint of the line segment AB?Suppose we've two endpoints of a line segment as:
A(p,q), and B(m,n)
Then let the midpoint be M(x,y) on that line segment. Then, its coordinates are:
[tex]x = \dfrac{p+m}{2}andy = \dfrac{q+n}{2}[/tex]
We are given that;
AD = 7, and DB = 12
Now,
To find the measure of the line segment AB, we need to use the segment addition postulate. The segment addition postulate states that if a point is between two other points on a line segment, then the sum of the lengths of the two smaller segments is equal to the length of the larger segment.
In this problem, D is between A and B, so we can apply the segment addition postulate and write:
AD + DB = AB
Substituting the given values of AD and DB, we get:
7 + 12 = AB
Simplifying, we get:
19 = AB
Therefore, by the given point the answer will be 19 units.
Learn more about mid point here;
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Since the beginning of fall, the little tree in front of Mrs.Wenger's house loses 12 more leaves every day. After 5 days, it haf only 208 leaves remaining.
Answers
Answer:
268
I'm not smart so if u get this wrong, I'm sorry
Step-by-step explanation:
12 x 5 = 60
60 + 208 = 268
Divide. Round your answer to the nearest whole number.
91,543 = 5 =
Answers
Answer:
i assume you mean divide so its 18308
Step-by-step explanation:
Match the following equations to their solutions. (Answers should be ordered pairs like this (x,y)
2x - y = 14
y = -2x - 1/2
7 + 5x = y + 7
3x + 2y = 36
6 - x = 4y
9x = 2y
Answers
Answer:
1. (8,2)
2. (-0.25,0)
3. (1,5)
4. (10,3)
5. (6,0)
6. (2,9)
PLEASE HELP!!!! GIVING BRAINLIEST!!!
Identify the missing input value.
Answers
Answer:
The answers are 34 on the in side and 57 on the out side
Step-by-step explanation:
This is because if you subtract 4 from 9, you will get 5. when you subtract 4 from 19, you will get 15.
I hope this helps
Answer:
In: 33 Out: 29
In: 62 Out: 58
Step-by-step explanation:
Lets find the rate of change first;
[tex]\frac{y^{2}-y^{1} }{x^{2}-x^{1} }=\frac{15-5}{19-9}=\frac{10}{10}=1[/tex]
What is the slope of the line parallel to 7x + 4y = -16?
Answers
Answer:
The slope of the line that is parallel to the given line is [tex]\frac{-7}{4}[/tex]
Step-by-step explanation:
Parallel lines have the same slopes and different y-intercepts
The slope of the line who has an equation ax + by = c is m = [tex]\frac{-a}{b}[/tex]
Let us use these rules to solve the question
∵ The equation of a given line is 7x + 4y = -16
→ Compare it with the form of the equation above
∴ a = 7 and b = 4
∵ The slope of the line = [tex]\frac{-a}{b}[/tex]
∴ The slope of the line = [tex]\frac{-7}{4}[/tex]
∵ Parallel lines have the same slope
∴ The slope of the line that is parallel to the given line is [tex]\frac{-7}{4}[/tex]
what is the y - intercept
Answers
Answer:
The y- intercept is 1
Step-by-step explanation:
Since the line crosses the y-axis at 1, the y-intercept is 1. Like the x-intercept. The line crosses the x-axis at um.. I would say about -1.5, so the x-intercept is -1.5.
Hope this helps you!!!
please help asap, will mark brainliest :))
Answers
Answer:
26
Step-by-step explanation:
Square the sides you know (A and B) Since you are finding side C the hypotenuse go by these steps:
Square the given sides.Add the sides togetherFind the square root of the sum.The square root of the sum is the side length of the hypotenuse.
[tex]10^{2} = 100\\24^{2} = 576[/tex]
100 + 576 = 676
[tex]\sqrt{676} = 26[/tex]
will mark brainliest
Write an expression for the perimeter of the triangle shown below:
A triangle is shown with side lengths labeled 2.3x plus 14, 2x, and negative 0.2x plus 15.
4.1x + 29
4.1x − 29
4.5x + 29
4.5x − 29
Answers
Evaluate the following expression: (show work)
3x^2 – 4^3 – 4^3 – z
If x =3, y =–2 and z=-5
Answers
3(9) - 64 - 64 + 5
27 - 64 - 64 + 5
-96
What is the answer to this question?
Answers
Answer:
≈ 3.9 miles
Step-by-step explanation:
The third angle in the triangle is
180° - (53 + 78)° = 180° - 131° = 49°
Using the Sine rule in the triangle with distance from 2 being x, then
[tex]\frac{3}{sin49}[/tex] = [tex]\frac{x}{sin78}[/tex] ( cross- multiply )
x × sin49° = 3 × sin78° ( divide both sides by sin49° )
x = [tex]\frac{3sin78}{sin49}[/tex] ≈ 3.9 ( to the nearest tenth )
is y=x/4 proportional or non proportional?
Answers
Answer:
i may be wrong but i thinks its proportional
Step-by-step explanation:
What is the equation in slope-intercept form of the line that passes through the points (−4, 2) and (12, 6)?
Answers
Answer:
y = 1x/4 +3
Step-by-step explanation:
Explanation: u just take the two points and plug them in the to the formula y2-y1/ x2-x1
simplify x X x^5 divided by x^2 X x
Answers
Answer:
[tex]\huge\boxed{(x\cdot x^5):(x^2\cdot x)=x^3}[/tex]
Step-by-step explanation:
[tex](x\cdot x^5):(x^2\cdot x)\qquad|\text{use}\ a^n\cdot a^m=a^{n+m}\\\\=x^{1+5}:x^{2+1}=x^6:x^3\qquad|\text{use}\ a^n:a^m=a^{n-m}\\\\=x^{6-3}=x^3[/tex]
Answer:
X × X^5 ÷ X^2 ×X
X^3
because the same variable can be cancelled.
Can someone please help me with this one please
Answers
Answer:
Step-by-step explanation:
the answer is 3
Which pair of triangles can be proven congruent by SAS?
Answers
ASAP
Can someone help me with this pleaseeee
Answers
scientific notation the question is 4x10 to the power of negative 9
Answers
Answer: -15
Step-by-step explanation:
I think that's right
2/-3 divided by -1 2/7 =
pls explain the answer
Answers
Answer:
[tex]\frac{14}{27}[/tex]
Step-by-step explanation:
[tex]-1\frac{2}{7} = -\frac{9}{7}[/tex] Plug -9/7 in: [tex]-\frac{2}{3}[/tex] ÷ [tex]-\frac{9}{7}[/tex] -2/3 ÷ -9/7 = 2/3 ÷ 9/7 = 2/3 × 7/9[tex]\frac{2}{3}[/tex] × [tex]\frac{7}{9} = \frac{14}{27}[/tex]I hope this helps!
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[tex] \frac{2}{ - 3} \div (- 1 \frac{2}{7}) = \\ [/tex]
[tex] - \frac{2}{3} \div ( - \frac{ 7}{7} - \frac{2}{7} ) = \\ [/tex]
[tex] - \frac{2}{3} \div ( \frac{ - 7 - 2}{7} ) = \\ [/tex]
[tex] - \frac{2}{3} \div ( - \frac{9}{7} ) = \\ [/tex]
Negatives simplifies
[tex] \frac{2}{3} \div \frac{9}{7} = \\ [/tex]
[tex] \frac{2}{3} \times \frac{7}{9} = \\ [/tex]
[tex] \frac{14}{27} \\ [/tex]
Done...
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hep please!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Hm, D would equal either 5 or 6.
Answer: d=3
Step-by-step explanation:because if u plug it in that will be grater
PLEASE HELP ILL GIVE BRAINLIEST. Which graph displays a rate of change of 2.5?
fy
Ay
4
2
2
x
X
2
4
2
-2
4
2.
-4
-4
4
-2.
2
2
2
-4
Answers
Step-by-step explanation:
i can't see the graph but I have done it before it is middle one
what is the slope of y = -x + 7
Answers
Answer:
slope m = - 1
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - x + 7 ← is in slope- intercept form
with slope m = - 1
Mario deposited $6,500 in a simple interest account that pays 2.8% interest annually. If Mario leaves the money in the account for 12 years, how much interest will he earn?
Answers
Answer:
$2,184
Step-by-step explanation:
Simple interest = (Principal × Rate × Time) / 100
Principal = $6,500
Rate = 2.8%
Time = 12 years
Simple interest = (Principal × Rate × Time) / 100
= (6,500 × 2.8 × 12) / 100
= 218,400 / 100
= 2,184
Simple interest = $2,184
The simple interest on $6,500 at 2.8% for 12 years is $2,184
In 2018, Gretal earned $32 000.
(i) She paid tax of 24% on these earnings.
Work out the amount she paid in tax in 2018
Answers
So she paid of $7,680 in taxes.
Gretal paid $7680 on tax in 2018.
What is a percentage?"A percentage is a ratio of a number to 100. The symbol % is used to indicate a percentage."
Given
Earning = 32000
Tax paid = 24%
Amount paid on tax = [tex]32000[/tex] × [tex]\frac{24}{100}[/tex]
= $7680
Hence, she paid $7680 on tax.
Learn more about percentage here
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For khan academy. Need answer immediately. Explain if you can
Answers
Answer:
The answer is B
Brianna jogs 15 minutes more on Sunday than Saturday. She jogged 26 minutes on Saturday.
a.
How many minutes does she jog on Sunday?
Answers
Answer:
41
Step-by-step explanation:
15+26=41
Answer:
41 minutes
Step-by-step explanation:
If she jogged 15 minutes more on Sunday than Saturday, we can find how many minutes she jogged on Sunday by adding 15 to Saturday's amount:
So, add 15 to 26:
15 + 26
= 41
So, she jogged 41 minutes on Sunday.
True or False: X=3 is the solution to 2x+10/5=4.
1. True
2. False
Answers
Answer:
Step-by-step explanation:
False
If the *divided by 5* is for the whole expression
2x + 10 = 20
2x = 20 - 10
2x = 10
x = 10/2 = 5 [false]
If *divided by 5* is only for 10
2x + (10/5) = 4
2x + 2 = 4
2x = 4-2
x = 2/2
x = 1 [false]
Answer will be false in both cases but i gave the solution to make you understand.
Hope it helps.
Is the work shown below correct? Explain your
answer.
(11 + 21 ) - (3 - 107)
= 11 + 21 - 3 - 10/
= (11 - 3) + (21 - 107)
Answers
Answer:
no
Step-by-step explanation:
u just moved the numbers around
Answer:
no
Step-by-step explanation
The work shown is not correct.
The subtraction sign did not get distributed to the –10i.
The sign on –10i should have changed.
The imaginary part should be 12i.
she remaining amount Lily has yet to pay Megan is $. Lily owed Megan $129.42. So far, she has paid Megan $32.56.?????
Answers
Answer:
129.42 - 32.56 = 96.86$