If △EFG ≅ △HJK, complete each part.
Answer:
[tex] \overline{EG} \cong \overline{HK} [/tex]
[tex] \overline{HJ} \cong \overline{EF} [/tex]
[tex] \angle F \cong \angle J [/tex]
[tex] \angle H \cong \angle E [/tex]
∆FGE ≅ ∆JKH
Step-by-step explanation:
Since ∆EFG ≅ ∆HJK, therefore, the corresponding sides and angles of both ∆s are congruent.
Thus:
[tex] \overline{EG} \cong \overline{HK} [/tex]
[tex] \overline{HJ} \cong \overline{EF} [/tex]
[tex] \angle F \cong \angle J [/tex]
[tex] \angle H \cong \angle E [/tex]
∆FGE ≅ ∆JKH (take note of the arrangement of the letters or naming of each vertex of both triangles. Each vertex of in one ∆ must correspond to the vertex of the other for the ∆s to be congruent)
△EFG ≅ △HJK,
From the figure attached we can conclude that
[tex]\rm \bar {EG}[/tex] ≅ [tex]\rm \bar {HK}[/tex]
[tex]\rm \bar HJ[/tex] ≅ [tex]\rm \bar FE[/tex]
∠[tex]\rm F[/tex] ≅∠[tex]\rm J[/tex]
∠[tex]\rm H[/tex] ≅∠[tex]\rm E[/tex]
△FGE ≅ △JKH
Given that
△EFG ≅ △HJK,
Since △EFG ≅ △HJK is given hence we can conclude that corresponding sides and corresponding angles of both the triangles will be equal.
Two triangles are said to be congruent when they are of similar shape and size means all the angles of one triangle are equal to the corresponding angles of other triangle and all the sides of one triangle are equal to corresponding sides of other triangle.
From the figure attached we can conclude that
[tex]\rm \bar {EG}[/tex] ≅ [tex]\rm \bar {HK}[/tex]
[tex]\rm \bar HJ[/tex] ≅ [tex]\rm \bar FE[/tex]
∠[tex]\rm F[/tex] ≅∠[tex]\rm J[/tex]
∠[tex]\rm H[/tex] ≅∠[tex]\rm E[/tex]
△FGE ≅ △JKH
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Last year, Keith opened an investment account with $8200. At the end of the year, the amount in the account had decreased by 7.5%. How much is this decrease in dollars? How much money was in his account at the end of last year?
Answer:
You would multiply $8200 by .075, giving you 615. Then to find the decrease. Take the starting value (8200) by the end value (615). and you would get 7,585.
HELP PLS BRAINLIEST FOR CORRECT ANSWER
Answer:
83
Step-by-step explanation:
Answer:
x = 59
y = 83
Step-by-step explanation:
First, you need to solve for y in order to solve for x. Using the Triangle Sum Theorem, you will find that y is 83 degrees.
Now, using the Vertical Angles Theorem, you can figure out the third angle of the triangle in which x is, 83.
Using the Triangle Sum Theorem again, you will find that x is 59.
GUYS PLEASE HELP ME ive been struggling with this for the past 15 minutes
Answer:
Loading Answer...
Step-by-step explanation:
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if any of you guys know someone named shurmpy or molly plz tell me they real good freinds to me
Answer:
ok
Step-by-step explanation:
13) (-4.3) (2,-1)
slope formula
Answer:
[tex]3 - ( - 1) \div 2 - ( - 4) \\ 3 + 1 \div 2 + 4 \\ 4 \div 6 \\ = \frac{2}{3} [/tex]
John writes the proof below to show that the sum of the angles in a triangle is equal to 180º.
Answer:
When two parallel lines are cut by a transversal, the resulting alternate exterior angles are congruent.
Step-by-step explanation:
i did it
do all of the digits in 8.88 have the same value? and explain why.
Answer:
No
Step-by-step explanation:
Mitochondria is the powerhouse of the cell
For f(x) = 3x2 - 2, find F(x) =
f(x)dx
Answer: below
Step-by-step explanation: Given f(x) =kxn where k is a constant, then f'(x) = nkx(n - 1)
Can you apply this principle to this problem, Let me know if you have any further questions about this problem. Thanks.
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Simplify this expression.
20.25 − 912 + 11
Answer:
20.25-923
Step-by-step explanation:
20.25-923
912+11=923
If Mis a centroid of triangle WOR and WM = 16, what is WX?
8
24
10
32
Answer:
WX = 24
Step-by-step explanation:
Centroid of a triangle divides the medians of the triangle in the ratio 2 : 1
Therefore,
WM/ MX = 2/1
16/MX = 2/1
2MX = 16
MX = 16/2
MX = 8
WX = WM + MX
WX = 16 + 8
WX = 24
The value of the side WX is equal to 24. The correct option is B.
What is the centroid of the triangle?The center of the thing is represented by its centroid. The centroid of a triangle is the location where the triangle's three medians intersect. It can alternatively be described as the location where the three medians come together.
A line connecting a side's midpoint and the triangle's opposite vertex is called the median. Triangle is a shape made of three sides in a two-dimensional plane. the sum of the three angles is 180 degrees.
The centroid of a triangle divides the medians of the triangle in the ratio of 2: 1.
Here, the ratio of the two sides will be given as:-
WM/ MX = 2/1
Calculate the value of MX to get the value of WX.
16/MX = 2/1
2MX = 16
MX = 16/2
MX = 8
The value of WX will be:-
WX = WM + MX
WX = 16 + 8
WX = 24
Therefore, the value of the side WX is equal to 24.
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I WILL GIVE BRAINLIEST FOR CORRECT ANSWER!!!
Jada fills the bathtub before taking a bath and then allows the water to drain when she is done. The graph below models the number of gallons of water, y, in the bathtub over time, t, in minutes. (look at graph)
Is the number of gallons of water in the bathtub a function of time?
A)Yes because each t value is paired with exactly one number of gallons.
B)Yes because the number of gallons is bounded between y = 0 and y = 36.
C)No because each number of gallons is paired with more than one t value.
D)No because from t = 5 to t = 20 the number of gallons of water is constant.
A.Yes because each t value is paired with exactly one number of gallons.
Step-by-step explanation:
Yes the number of gallons of water in the bathtub a function of time because each t value is paired with exactly one number of gallons.
Option A
Given :
The graph below models the number of gallons of water, y, in the bathtub over time, t, in minutes.
The number of gallons of water in bathtub depends on the time taken to fill or drain water
For each minutes in x there is one y value
There is no break in the graph . For each x value there is only one value
From this graph we can say that , for each t value (minutes) there is exactly one number of gallons (y value )
So, yes because each t value is paired with exactly one number of gallons.
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please help need this urgently
Answer:
a
Step-by-step explanation:
Answer:
The answer is A. y=1/3x+4
Explanation:
Perpendicular means that the slope is flipped and the only answer that has -3 flipped is A.
The Giant Anteater can eat 70,000 ants in 2 days. It’s true
Answer:
cool
Step-by-step explanation:
is this a question?
PLEASE HELP, MARKING BRAINLIEST!!!!
What is the value of x? *Please show your work if you can.*
Answer:
I think 100..........
What quadrant does -495 lie in?
20points- Correct answer get Brainlest- Help please-Thank you- :)
Of all students, calculate the relative frequency for males who carpool.
Gender School Transportation Survey
Walk Ride Bus Carpool Total
Male 9 26 9 44
Female 8 26 24 58
Total 17 52 33 1
0.204
33
0.088
9
Answer:
0,204
Step-by-step explanation:
Anyone know how to do this? pls explain how
need help finding the slope line through each apartment of points
Answer:
how are yall so smart bc im sittin over here like bruh these guys are smarter than enistain
Step-by-step explanation:
Answer:
8/-11
Step-by-step explanation:
m=y2-y1/x2-x1
16-8=8
9-20=(-11)
8/-11
hope this helps :3
if it did pls mark brainliest
6
Estimate each percent.
70% of 103
(1 Point)
Enter your answer
Will make Brainlylist
Answer:72.1
103*.7=72.1
I hope this is good enough:
need rn! worth 13 ~ what is the equation of the parabola? 謝謝
Answer:
Its B.
Step-by-step explanation:
Emath.com- Parabola calculator
plzzzzzz help me Find the slope when given the following points. 2) (2, 1) and (5, 3)
Answer:
2/3
Step-by-step explanation:
3-1/5-2=
2/3
no clue what to do lol
Answer:
Thanks for the free points
Answer:
So, the answer for b is 20.
The way to figure this out is:
angle N is congruent to angle S
angle M is congruent to angle M
side NM is 10
because of the three things above, triangle NHM is congruent to triangle SML because of SAS(side angle side postulate)
Hope that helps! Let me know if it does! ;P
Helpp me pls for this one
Answer:
5
Step-by-step explanation:
In triangle DEF, segment DJ is a perpendicular bisector of side EF. If EJ is 3y-8 and JF is 7y-40, what is the length of JF?
Answer: The length of JF = 16 units.
Step-by-step explanation:
Given: In triangle DEF, segment DJ is a perpendicular bisector of side EF.
i.e. DJ is perpendicular to EF and DJ divides EF into two equal parts EJ and JF. [The perpendicular bisector is a line that is perpendicular to a line segment and splits it into two congruent segments.]
If EJ is 3y-8 and JF is 7y-40.
Then, [tex]3y-8=7y-40[/tex]
[tex]\Rightarrow\ 7y-3y=40-8\\\\\Rightarrow\ 4y=32\\\\\Rightarrow\ y=8 \text{ [Divide both sides by 4]}[/tex]
JF= 7(8)-40 =56-40= 16 units
Hence, the length of JF = 16 units.
Answer:
plz giv brainlist
Step-by-step explanation:
who can solve |x-4| = 21
Answer:
|x| = 25
Step-by-step explanation:
Original Equation:
|x - 4| = 21
Just add 4 to both sides
|x| = 25
Hope this helped :)
Answer:
the answer is 25 or -17
what is an equation of the line that is parallel to y=-5x+6 and passes through the point (-4,-1)
Answer:
y= -5x - 21
Step-by-step explanation:
parallel lines have the same slope, so you know the slope.
you need to use the point slope formula y-y1=m(x-x1)
with this equation, this looks like y - -1 =- 5(x - -4)
double negatives are positives, so to keep this easier on the eyes, let's make it y + 1= -5(x + 4)
distribute the -5. you should get y + 1 = -5x - 20
subtract 1 to move it from the left side to the right and you get your answer!
y = -5x - 21
CAN SOMEONE PLZ HELP
Answer:
(x, y, z) = (2, -1, 3)
Step-by-step explanation:
I solved it using the elimination method
please help so I can pass
1.
Susan has five blocks of candy. She wantsstwo ciwe chook into -size pieces of
candy. How many pieces of candy willstrebe anettonale?