Angles theorem and Reflexive property of congurence
The solution is
Each diagonal of a parallelogram separates it into two congruent triangles
So , ΔABC ≅ ΔCDA
Opposite angles are congruent
So , ∠B ≅ ∠D
What is a Parallelogram?
A parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure
The four types are parallelograms, squares, rectangles, and rhombuses
Properties of Parallelogram
Opposite sides are parallel
Opposite sides are congruent
Opposite angles are congruent.
Same-Side interior angles (consecutive angles) are supplementary
Each diagonal of a parallelogram separates it into two congruent triangles
The diagonals of a parallelogram bisect each other
Given data ,
Let the parallelogram be ABCD
Now , AC is a diagonal of the parallelogram
According to the postulates of parallelogram
Opposite sides are parallel
Opposite sides are congruent
Opposite angles are congruent
Same-Side interior angles (consecutive angles) are supplementary
Each diagonal of a parallelogram separates it into two congruent triangles
The diagonals of a parallelogram bisect each other
And ,
From the figure , we can deduct that ΔABC ≅ ΔCDA by
Angle A is congruent to angle C, and angle D is congruent to angle B
So , from congruent triangle theorem ΔABC ≅ ΔCDA
And ,
∠B ≅ ∠D
Because Opposite angles are congruent of a parallelogram
Hence , Each diagonal of a parallelogram separates it into two congruent triangles
So , ΔABC ≅ ΔCDA
Opposite angles are congruent
So , ∠B ≅ ∠D
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inverse of
f(x)=6x+5
Help please help please
Answer:
just use algebraic expression
Question 7
1 pts
Select all sets of points that have a slope m = 2.
(4, 2) and (2,-2)
O (2, -3) and (1,5)
(15, 12) and (5, -8)
(6,5) and (-1,-9)
(2, -3) and (-3,-2)
Answer:
(4,2) and (2,-2)
Step-by-step explanation:
using m=y2-y1/x2-x1
m= -2-2/2-4=-4/-2
therefore,
m=2
is y=2/3x+2 proportional
Kameron wrote the following equation:
4x - (x - 3) = 18
Using the distributive property, what would her next step be?
Answer:
hope it helps you..........
Your deposit $1000 in an account that earns 2.5% annual interest. Find the balance after 2 years if the interest compounds with the given frequency.
Answer:
34%
Step-by-step explanation:
3+3+3+3+3+3+3+35%
PLEASE HELP SOMEONE. ILL GIVE BRAINIEST.
Caitlyn and Daniela are going out for pizza to their local gourmet pizza shop. They order a pizza with a total of 5 toppings. The restaurant charges 8 dollars for a pizza, plus $1 per basic topping and $2 per premium topping. The girls spend a total of $15 on their pizza. Let x = the number of basic toppings and y = the number of premium toppings. What equation accurately represent this situation? Like as a systems of equations where the two points intersect. The point where they intersect will be the answer.
25
8×1=8
8 +2=10
10+15=25
The answer is the 1st image, and the explanation is the 2nd image.
The answer in text if seeing the image is not possible; x + y = 5 and x + 2y + 8 = 15
10. Sarah wants to buy shirts for her school's
graduation party. A company will make the
shirts for $10.50 each plus a $50 setup
charge. If Sarah has $1000, which inequality
could she use to find the maximum number
of x shirts she can buy?
Answer:
1000 ≥ 10.50x + 50
Step-by-step explanation:
≥ is a greater than or equal to sign. We want to know how many she could possibly buy.
what 2+2 x10+2X2+10=
Answer:
36
Step-by-step explanation:
Use PEMDAS:
2*10 is 20
2*2 is 4
So the equation is now
2+20+4+10=
Now add:
36
Thus the solution is 36
Hope this helps!
10. Find the range of possible values for the variable.
The range of possible values for the variable is x < 12
From the given figure, we can see that the side facing angle 30 degrees, is greater than the side facing angle 3x -6. Therefore the inequality expression is true based on the figure.
30 > 3x - 6
Swap sides
3x - 6 < 30
Add 6 to both sides
3x - 6 + 6 < 30 + 6
3x < 36
Divide both sides by 3
3x/3 < 36/3
x < 12
Hence the range of possible values for the variable is x < 12
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If 4/3 liters of water are enough to water 2/5 of the plants in the house, how som:
much water is necessary to water all the plants in the house? *
Answer:Group of answer choices 2/5 x ? = 4/3 ? X 2/5 = 4/3 4/3 x ? = 2/5 ? ÷ 5/2 = 3/4 4/3 ÷ 2/3 = ?
Step-by-step explanation:If 4/3 liters of water is enough to water 2/5 of the plants in the house, how much water is necessary to water all the plants in the house? Select all of the multiplication and division equations that represent this situation.
Answer:
3 1/3 liters of water
Step-by-step explanation:
4/3 is to 2/5
What 1 is to x
(4/3) / (2/5) = 10/3 = 3 1/3
find the inverse function f(x)=1/2x+2
Answer:
y=2x-4
Step-by-step explanation:
f(x)=1/2x+2
y=1/2x+2
-----------------
x=1/2y+2
1/2y=x-2
y=2(x-2)
y=2x-4
Question 7 of 15 Which is an equation of the line through (0,0) and (5,-2)? O A. y = 3 B. y = ja c. y = - 30 D. y=- Y
Answer:
b po sana po maka tulong
Step-by-step explanation:
pa brainliest po
given the function f(x)=3x-5, for which value in the domain does f(x)=-38?
[tex]f(x) = -38\\\\\implies 3x -5 = -38\\\\\implies 3x = -38 +5 \\\\\implies 3x = -33\\\\\implies x = -\dfrac{33}{3}\\\\\implies x = -11[/tex]
the distance between the points (-4, -3) and (-8, 6) to the nearest whole number.
Answer:
X1=-4,Y1=-3,X2=-8,Y2=6
=√(X2-X1)^2+(Y2-Y1)^2
=√(-8-(-4))^2+(6-(-3))^2
=√(-4)^2+(9)^2
=√(16+81)
=√97units
The perimeter of a square is 16 inches what is the length of each side?
Please help- not a test. 15pts.
The orthocenter of ΔABC lies at vertex A. What can you conclude about the line segments BA and AC? Explain.
Answer:
You can conclude that the line segments BA and AC are perpendicular to each other.
Step-by-step explanation:
That is because in this case, the triangle presented would be a right triangle. In right triangles, the orthocenter is the vertex of the triangle where two of the segments intersect perpendicularly, forming a 90 degree angle. As the orthocenter is where the altitudes intersect (altitudes are 90 degrees), we are able to conclude that BA and AC are perpendicular to each other.
Answer:
CE
AE
segment addition postulate
Given: ABC is a triangle.
To prove: BC + AC > BA
Proof: In triangle ABC, we can draw a perpendicular line segment from vertex C to segment AB. The intersection of AB and the perpendicular is called E. We know that BE is the shortest distance from B to CE and AE is the shortest distance from A to CE because of the shortest distance theorem.
Therefore, and .
Now, add the inequalities, we get
.
Then, because Segment addition postulate (states that given 2 points E and F, a third point D lies on the line segment EF if and only if the distances between the points satisfy the equation ED + DF = EF)
Therefore, by substitution.
Step-by-step explanation:
A small bag of trail mix contains 3 cups of dried fruit and 4 cups of almonds. A large bag contains $4 1/2 cups of dried fruit and 6 cups of almonds. Write and solve a system of linear equations to find the price of 1 cup of dried fruit and 1 cup of almonds. Let f represent the price of one cup of dried fruit and let a represent the price of one cup of almonds.What is the equation for the small bag and the large bag.
Answer:
Let's call:
f = price of 1 cup of dried fruit
a = price of 1 cup of almonds
In order to build the linear system, you need to consider that the total price of a bag is given by the sum of the price of cups times the number of cups in each bag, therefore:
Solve for a in first equation:
a = (6 - 3f) / 4
Then substitute in the second equation:
41/2 f + 6 · (6 - 3f) / 4 = 9
41/2 f + 9 - 9/2 f = 9
16 f = 0
f = 0
Now, substitute this value in the formula found for a:
a = (6 - 3·0) / 4
= 3/2 = 1.5
Hence, the cups of dried fruit are free and 1 cup of almond costs 1.5$
Step-by-step explanation:
52,259 divided by 215 with remainder
Step-by-step explanation:
Hope it will help you...
Which of the following points would be on the graph of
the equation y=-40 + 6?
-4, -10)
(-4, 22)
(1, -10)
(1, - 2)
О
-
о
Step-by-step explanation:
To find points on the line y = mx + b, choose x and solve the equation for y, or. choose y and solve for x.
A cell phone company charges a 20$ flat fee plus $0.05 for every minute used for calls
Answer:
In both the cases, the given total amount is given as:
T = 10 + 0.05 m (when minutes talked m < 600)
T = 40 + 0.15 k (when minutes talked k > 600)
Step-by-step explanation:
What is the slope of the line that passes through the points (-10,1 ) and (0,5 )?
Answer:
4/10 or 0.4
Step-by-step explanation:
I just need 20 charecters
Answer:
slope = 0.4
Step-by-step explanation:
HOPE THIS HELPS :)
Pls help with question 3 and below
Step-by-step explanation:
now find the area of triangle and add with the area of square and subtract with the area of circle
hope it will help you
What is the value of -2
Answer:
11
Step-by-step explanation:
-2 lies in the second range that begins with -2 and ends with 8
1/2 of a bowl of cereal is divided equally between 4 bowls. how much cereal is in each bowl
Answer:
1/16 of the cereal is in each bowl
Step-by-step explanation:
Answer:
1/8
Step-by-step explanation:
1/2 / 4
= 1/2 * 1/4
= 1/8.
how do i write 125 as a repeated multiplication of 5s
Step-by-step explanation:
Multiply 5 by itself until you get 125.
CAN SOMEONE HELP ME PLEASE ASAP!?
Answer:
135
Step-by-step explanation:
bc its the right answer
Answer:
the answer is 138.57 so ur answer would be 135
Step-by-step explanation:
Which is the solution to the system
4x + y = 0
x - y = 5
Explain/Show Work
Answer:
x = 1
y = -4
Step-by-step explanation:
if you solve for y
y = -4x
plug this into the other equation
x - -4x = 5
simplify
5x = 5
x = 1
plug x into the fist equation
4(1)+y = 0
y = -4
i need help on this asap
Answer:
c
Step-by-step explanation:
56 is what percent of 80
Answer:
70%
Step-by-step explanation:
Therefore, we can conclude that the required percentage is 70% that is 70% of 80 is 56.
Hopes This Helps :)