Drag and drop the answers to the boxes to correctly complete the proof.
Given: Rhombus JKMH with diagonals intersecting at point P
Rhombus J K M H with diagonals J M and H K intersecting at P
Prove: JM⎯⎯⎯⎯⎯⊥HK⎯⎯⎯⎯⎯⎯
By the definition of Response area, JK⎯⎯⎯⎯⎯≅KM⎯⎯⎯⎯⎯⎯ and by the reflexive property of congruence, KP⎯⎯⎯⎯⎯≅KP⎯⎯⎯⎯⎯ . Because the diagonals of a rhombus bisect a pair of opposite angles, ∠JKP≅∠MKP , making △JKP≅△MKP by the Response area. Because Response area, ∠JPK≅∠MPK, and these angles are right angles because two angles that form a linear pair are congruent, thereby making JM⎯⎯⎯⎯⎯⊥HK⎯⎯⎯⎯⎯⎯ by the definition of perpendicular segments.
Response area means blank
The answers are Congruent segments, a rhombus, a parallelogram, SSS congruence postulate, ASA congruence postulate, SAS congruence postulate, CPCTC, they are adjacent, and vertical angles are congruent
The completed proof is presented as follows;
By definition of a rhombus [tex]\overline{JK} \cong \overline{KM}[/tex] and by the reflexive property of
congruence [tex]\overline{KP} \cong \overline{KP}[/tex], because the diagonals of a rhombus bisect a pair
of opposite angles, ∠JKP ≅ ∠MKP, making ΔJKP ≅ ΔMKP by the SAS
congruency postulate, because CPCTC, ∠JPK ≅ ∠MPK, and these angles
are right angles because two angles that form a linear pair are congruent,
thereby making, [tex]\overline{JK} \perp \overline{KM}[/tex] by definition of perpendicular segments.
Reasons:
Please find attached the drawing of the given rhombus JKMH, that show
the point of intersection of the diagonals JM and HK at point P.
A rhombus is an equilateral quadrilateral, therefore, the adjacent sides [tex]\overline{JK} \ and \ \overline{KM}[/tex] are congruent.The SAS congruency postulate states that if a triangle has two sides and an included angle that are congruent to two sides and an included angle of another triangle, then the two triangles are congruent.CPCTC is an acronym for Congruent Parts of Congruent Triangles are Congruent.Learn more about the properties of a rhombus here:
https://brainly.com/question/10618409
Can u help me please
Answer:
.50x4+15=x
Step-by-step explanation:
X=17
168- blank gives 48 aim confused
Answer:
168 subtracted by 120 is going to equal 48
Step-by-step explanation:
Wellington has $21 to ride bumper cars and play games at the count fair. Suppose the bumper cars cost $3.50. Write and solve an inequality to find the most he can spend on games.
Answer: 17.50
Step-by-step explanation:
HELP what is the slope
Answer:
D
Step-by-step explanation:
The line starts at 10 so I think it's that
Answer:
Slope of a line
m = \frac{\text{rise}}{\text{run}} = \frac{y_2 - y_1}{x_2 - x_1}
m = slope
(x_1, y_1) = coordinates of first point in the line
(x_2, y_2) = coordinates of second point in the line
Step-by-step explanation:
Khan Academy
Slope review | Algebra (article) | Khan Academy
Troy assembles wooden toya at Tindall's Toy Shoppe. He is paid $1.46 for each snake, $1.11 ab each fan, and $1.74 for each teddy bear. Troy assembled 515 snakes, 982
fans and 669 teddy bears. What Is Troy's gross pay for this week? Round to the nearest cent.
Answer:
$3005.98
Step-by-step explanation:
did the math with calculator
Pls pls I just need the equation to this thank you so much!
Answer:
5.00+5.5+5.10+5.15+5.20+5.25= x
x is whatever the cost is.
if you want x, it is.... 31.2
or
y=5.00+5.5+5.10+5.15+5.20+5.25
If you want the equation in linear form (as in y= _x+b), then it is:
y=0.001x
sorry if im wrong! :D
Step-by-step explanation:
Just ask!
Hope this helps... :)
4th root of 1/16 as a fraction
Answer:
1/2, or 0.5
Step-by-step explanation:
Find the equation of line through (-15,9) with slope 4/5 in slope-intercept form.
Answer:
well, we know it is
y = -4 x + b
so all we need is b
5 = -4(9) + b
5 = -36 + b
b = 41
so
y = -4 x + 41
I need help with this question,
Plzzzzz helpnmeeee plzzzz
No files or links please!
graph y= -4/3 x+2 using the slope and y-intercept
slope: 3
y-intercept: (0,-2)
Answer: there you go
Step-by-step explanation:
expand and simplify (x+7)(x+1)
Answer:
x² + 8x + 7
Step-by-step explanation:
(x + 7) (x + 1)
= x(x + 1) + 7(x + 1) Distributive
= (x · x) + ( x ·1 ) + (7· x) + (7 · 1)
= x² + x + 7x + 7 Multiply
= x² + 8x + 7 Add like terms
A. Gregorio has to make 84 cookies for scout
camp. How many dozen cookies is that?
Answer:
7 dozen cookies
Step-by-step explanation:
12 cookies are in a dozen, 84 / 2
Last month, there were `4` sunny days for every rainy day. If there were `30` days
Answer:
6 rainy days
Step-by-step explanation:
An arrow travels north 56 meters in 0.7 seconds. What is its velocity? 39.2 m/s 39.2 m/s north 80 m/s north 80 m/s
Answer: north 80 m/s
Explanation:
speed = distance/time = 56/0.7 = 80
Recall that velocity is composed of both the speed and the direction. In this case, the arrow is traveling 80 m/s to the north
A type of green paint is made by mixing 2 cups of yellow with 3.5 cups of blue.
Find a mixture that will make the different shade of green that is more yellow.
Answer:
Use 1.75 cups of blue and 1 cup of yellow
Step-by-step explanation:
The given problem can be placed in the category of ratios and proportions. There is a ratio of color mixing which contains the proportion of two colors i.e blue and yellow. When we use 2 cups of yellow with 3.5 cups of yellow then we get green color so if we mix half of their amounts then we can get less or simply half amount of color too. Hence adding 1 cup of yellow and 1.75 cup of blue will give us small amount in result.
I hope this helps have a great day :)
10)
There are 14 black pens out of 25 pens. What percent of the pens are black?
Answer:
Step-by-step explanation:
14 dived by 25 is 56%
The next term in the geometric sequence -1, -2, -4 __ is -6.
True or False
Answer:
False
Step-by-step explanation:
It is multiplied by 2 so the next answer would be -8 not -6 hope this helps!:)
what's the interior angle of a regular octagon (eight sided shape) ?
please help asap
Answer:
135 degress
Step-by-step explanation:
i need help no links
what is the total surface area of 12ft, 4ft and 5ft
Answer:
The answer is 240
Step-by-step explanation:
So since your trying to find the area of 12ft, 4ft, and 5ft you have to multiply them all. So 12x4= 48x5= 240.
Hope this helps :)
Answer: surface area = 240 ft^3
Step-by-step explanation:
Assuming you are talking about the surface area of a rectangular prism, the surface area equation for rectangular prisms is SA = l x w x h (surface area = length x width x height). You multiply 12 by 4 by 5 to get your answer.
If a line has a slope of 2 and contains the point (-2, 1), what is its equation in
point-slope form?
O A. y-1 = 2(x-2)
O B. y-1 = 2(x+ 2)
O C. y-2 = -2(x-1)
O D. y + 2 = -2(x - 1)
SUBMIT
Answer: The point-slope form is: y - 1 = 2(x + 2). Therefore, the answer is B.
The original price of a TV is $525. Eddie buys the TV for
14% off the original price. Two weeks later Chuck buys the
same TV for 19% off. How much more money did Eddie
spend than Chuck?
who ran faster, noah or lin?
If the new minimum wage of $8.75 per hour is 102.9412% of the old minimum wage, what was the old minimum wage?
Using proportions, it is found that the old minimum wage was of $8.50.
The new minimum wage is of $8.75 per hour.The old minimum wage was of x.The new minimum wage is 102.9412% of the old minimum wage, hence it can be represented as 1.029412x.The equation for the relationship between these wages is:
[tex]1.029412x = 8.75[/tex]
[tex]x = \frac{8.75}{1.029412}[/tex]
[tex]x = 8.50[/tex]
The old minimum wage was of $8.50.
To learn more about proportions, you can take a look at https://brainly.com/question/24372153
Which equations below represent nonlinear functions?
y = 4x + 16
y = x2 − 2
34x − 9 = y
y = 7x
y = −8x
What are the domain and range of each relation?
Drag the answer into the box to match each relation.
Answer:i cant see it that well its blurry
Step-by-step explanation:
Answer:
The domain of the graph is {-3, -1, 1, 4}. The range of the graph is {-4, -1, 1, 4}
The domain of the set of ordered pairs is {-4, -3, 1}. The range of the set of ordered pairs is {1, 3, 4}
Step-by-step explanation:
K
The solution is k
K/6+5=17
The solution is k=
k=72
Explanation:
72/6=12
12+5=17
Answer:
k = 72
Step-by-step explanation:
This is a 2-step linear equation. It is solved in the usual way.
Step 1: add the opposite of the constant that is on the side with the variable
k/6 +5 -5 = 17 -5
k/6 = 12
Step 2: multiply by the reciprocal of the coefficient of the variable.
(k/6)(6) = (12)(6)
k = 72
this is the next question. Solve: 8( 4 - 2^{6} ÷ 4)
Hey there!
8( 4 - 2^{6} ÷ 4)
= 8( 4 - 2^6 ÷ 4)
2^6
= 2 * 2 * 2 * 2 * 2 * 2
= 4 * 4 * 4
= 16 * 4
= 64
= 8(4 - 64 ÷ 4)
= 8(4) + 8(-16)
= 32 - 128
= -96
Therefore, your answer is: -96
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)