Given: CA bisects BAD and CA bisects BCD.
Prove: ABC - ADC.
Answers
By AAS criteria, ΔABC ≅ ΔADC.
What is Parallelogram? What is triangle?In Euclidean geometry, 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. A triangle is a polygon with three edges and three vertices. The sum of all the angles of a triangle is 180 degrees. Mathematically -
∠x + ∠y + ∠z = 180°
There are different types of triangles such as -
equilateral triangle , scalene triangle , isosceles triangle etc.
Given is CA bisects ∠BAD, AB ⊥ BC and AD ⊥ DC.
In ΔABC and ΔADC -
∠ABC = ∠ADC = 90°
∠ACB = ∠ACD {bisected angle ∠BCD}
AC = AC {Common}
By AAS criteria, ΔABC ≅ ΔADC.
Therefore, by AAS criteria, ΔABC ≅ ΔADC.
To solve more questions on 2 -D figures, visit the link below-
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[Complete questions
Given: CA bisects ∠BAD, AB ⊥ BC and AD ⊥ DC . Prove: △ABC≅△ADC.]
Related Questions
find the slope of the line perpendicular to given line
Answers
Answer:
perpendicular slope = - 2
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 = [tex]\frac{1}{2}[/tex] + 5 ← is in slope- intercept form
with slope m = [tex]\frac{1}{2}[/tex]
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{1}{2} }[/tex] = - 2
algebra
huh still difficult and will always be.
Someone just...…..
please help me to figure out this
Answers
Answer:
[tex]z = 6[/tex]
Step-by-step explanation:
Let's solve:
[tex]5(z+1)=3(z+2)+11[/tex]
Step 1: Simplify both sides of the equation.
[tex]5(z+1)=3(z+2)+11 \\ (5)(z)+(5)(1)=(3)(z)+(3)(2)+11(Distribute) \\
5z+5=3z+6+11 \\
5z+5=(3z)+(6+11)(Combine Like Terms) \\
5z+5=3z+17 \\
5z+5=3z+17[/tex]
Step 2: Subtract 3z from both sides.
[tex]5z+5−3z=3z+17−3z \\ 2z+5=17[/tex]
Step 3: Subtract 5 from both sides.
[tex]2z+5−5=17−5 \\ 2z=12[/tex]
Step 4: Divide both sides by 2.
[tex] \frac{2z}{2} = \frac{12}{2} \\ z = 6[/tex]
What is the reference angle for 5pi over 3?
a. pi over 6
b. pi over 3
c. 2pi over 3
Answers
Answer:
b. pi over 3 ig~~~~~~~~~~~~~~~
Answer:
(b) pi over 3 is correct
Step-by-step explanation:
EDGE 2022
The Chang family is on their way home from a cross-country road trip. During the trip, the function D(t)=3260−55t can be used to model their distance, in miles, from home after t hours of driving. find D(12) and interpret the meaning in the context of the problem.
Answers
Answer:
D(12) = 2,600 miles
It means a distance of 2,600 miles is already traveled from home after 12 hours
Step-by-step explanation:
To find D(12); all we have to do is to substitute the value of 12 for D
We have this as;
D(12) = 3260-55(12)
D(12) = 2,600
In the context of this problem, what this mean is that the distance away from home is 2,600 miles after traveling 12 hours
£100 is deposited in a bank paying 2.25% simple interest per annum. How much interest will have been paid after 5 years?
Answers
Answer:
£11.25
Step-by-step explanation:
The formula to calculate simple interest is given as:
Simple Interest = Principal × Rate × Time
Principal = Amount deposited in the bank = £100
Interest rate = 2.25%
Time in years = 5 years
Hence,
Simple Interest = £100 × 2.25% × 5
= £11.25
Therefore, the interest that will have been paid after 5 years is £11.25
please help me solve
please show how you got the answer
Answers
Answer:
Step-by-step explanation:
The total amount paid by a member according to this table is
Total Amount Paid = fee + monthly fee(# of months)
Since the fee is the same regardless of how many months one signs up for, it should come out the same for each row in our table.
Row 1:
TAP = fee + 15(#months)
135 = fee + 15(4) and
135 = fee + 60 so
fee = $75
Row 2:
165 = fee + 15(6) and
165 = fee + 90 so
fee = $75
Row 3:
255 = fee + 15(12) and
255 = fee + 180 so
fee = $75
Apparently, the fee is $75.
Share $2400 for three friends so that one friend gets twice as much as the smallest share and the other friend gets three times as much as the smallest share.
Answers
Answer:
smallest share = $400
second smallest share = $800
largest share = $1200
Step-by-step explanation:
Let the smallest share = x
amount one friend gets = 2x
second friend gets = 3x
2400 = x + 2x + 3x
2400 = 6x
x = 400
2 x 400 = 800
3 x 400 = 1200
The number of hours worked at a factory and the money earned is proportional. If an employee works 40 hours, they will earn $2500. How many hours does the employee work if earn $1500, Explain your reasoning
Answers
Half of $2500 is $1500 and if you work 40 hours and get $2500 when you work 20 hours you get $1500.
Keeping the place of the digit 6 in the number 6350947 same, the smallest number obtained by
rearranging other digits is
Answers
The smallest number is 6034579.
Answer:
6034579 hope this helps!!
explanation:
We should keep 6 where it is, then arrange the rest of the numbers from smallest to the greatest.
Suppose that 0.10 of population is colourblind if 25of sample drown from this population find probability that at least 7 have coroblind
Answers
Answer:
[tex]P(X \geq 8)=22*10^{-4}[/tex]
Step-by-step explanation:
From The Question we are told that
Prob that population is colourblind [tex]P(C)=0.10[/tex]
Sample size [tex]N=25[/tex]
Generally the equation for Number of color blinds is mathematically given by
[tex]P(X \geq 8)=\sum^{25}_{x=8}(25..x)(0.10)^x(0.90)^25-x[/tex]
[tex]P(X \geq 8)=22*10^{-4}[/tex]
Do anyone know this question?
Answers
Answer:
average revenue
gross profit
total revenue
net profit
marginal revenue
Step-by-step explanation:
evaluate 3ac - a + 2b, if a=2, b=1 and c=4 pls help me thk u
Answers
Brainliest, 35 points
Answers
Answer:
13 1/2
Step-by-step explanation:
9 ÷ 2/3
Copy dot flip
9 * 3/2
27/2
Change from an improper fraction to a mixed number
2 goes into 27 13 times with 1 left over
13 1/2
What is the range of the given function?
Answers
Answer:
you have it on the correct answer
Step-by-step explanation:
range is the y values, and its the lowest negetive to the highest positive
Find the interior angle sum for each polygon. Round your answer to the nearest tenth if needed
(#4 and #3 are solve for x)
Answers
Answer:
1) 720
2) 540
3) x = -1
4) x = 10
Step-by-step explanation:
The formula for finding the sum of interior angles in a polygon is the following,
[tex]S=180(n-2)[/tex]
Where (S) represents the sum of interior angles, and (n) represents the number of sides.
1)
The given polygon is a hexagon, meaning it has (6) sides. Substitute the number of sides into the formula and solve for the sum of interior angles.
[tex]S=180(n-2)[/tex]
[tex]S=180(6-2)\\\\S=180(4)\\\\S = 720[/tex]
2)
This polygon is a pentagon, meaning it has (5) sides. Substitute the number of sides into the formula and solve for the sum of interior angles.
[tex]S=180(n-2)[/tex]
[tex]S=180(5-2)\\\\S=180(3)\\\\S=540[/tex]
3)
The sum of interior angles in a triangle is (180) degrees. One can see that one of the measures of an angle is (90) degrees (indicated by the box around the angle). One can form an equation by adding up the expressions for the angle measures and setting it equal to (180) degrees.
(55) + (x + 36) + (90) = 180
Simplify,
181 + x = 180
Inverse operations,
181 + x = 180
x = -1
4)
The remote angles theorem states that when one extends one of the sides of a triangle, the angle formed between the side and the extension is equal to the sum of the two non-adjacent interior angles in the triangle. Based on this theorem, one can form an equation and solve for the unknown.
<F + <G = <FEZ
Substitute,
(4x) + (-5 + 7x) = 105
Simplify,
4x - 5 + 7x = 105
11x - 5 = 105
Inverse operations,
11x - 5 = 105
11x = 110
x = 10
A rectangle and a vertical line are shown. If the rectangle is revolved about the vertical line, what is the resulting object?
a rectangle with one side against a vertical line
solid cylinder
hollow cylinder
hollow cone with truncated top
solid cone
Answers
Answer:
Preetyy sure its D
Step-by-step explanation:
Its not a hollow cylinder
The resulting object will be a solid cylinder. Then the correct option is A.
What is a solid revolution?When a figure is revolved around some fixed axis, the whole three-dimensional solid formed from the area that it swaps out is called a solid of revolution.
A rectangle and a vertical line are shown. If the rectangle is revolved around the vertical line.
Then the resulting object will be
If the rectangle is rotated about the vertical axis then the resulting shape will be a solid cylinder.
The diagram is shown below.
Learn more about solid of revolution here:
https://brainly.com/question/338504
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help please need to get this in today will mark brainlist
Answers
Answer:
acute
Step-by-step explanation:
it is acute because it is less than 90 degrees
how do you ifnd circumfranceof citlve
Answers
Answer:
The formula of the circumference of the circle
[tex]C =\pi D[/tex]
Step-by-step explanation:
To find the circumference of the circle follow the given steps.
1. Take a thread.
2. Fix one end of the thread at one point of the circle.
3. Move the thread along the length of the circle.
4. You reach the same fix end.
5. Measure the length of the thread.
6. It is the circumference of the circle.
The formula of the circumference of the circle
[tex]C =\pi D[/tex]
where D is the diameter of the circle.
How many fifths are there in 6
Answers
Answer: 30
Step-by-step explanation:
there are 5 fifths in 1 hinting the name fifths
So that means there are 30 fifths in 6
help meeeeeeeeeee!!!
Answers
Answer: 2.9166666666633333333333333333333
Step-by-step explanation:
Answer:
35/12
Step-by-step explanation:
The regular price of an item at a store is p dollars. The item is on sale for 20% off the regular price. Some of the expressions shown below represent the sale price, in dollars,of the item.Expression A: Expression B: Expression C: Expression D: Expression E: Which two expressions each represent the sale price of the item?AExpression A and Expression EBExpression B and Expression CCExpression B and Expression DDExpression C and Expression D
Answers
Answer:
Expression B: 0.8p
Expression D: p - 0.2p
Step-by-step explanation:
The regular price of an item at a store is p dollars. The item is on sale for 20% off the regular price. Some of the expressions shown below represent the sale price, in dollars, of the item.
Expression A: 0.2p
Expression B: 0.8p
Expression C:1 - 0.2p
Expression D: p - 0.2p
Expression E: p - 0.8p
Which two expressions each represent the sale price of the item?
Regular price of the item = $p
Sale price = 20% off regular price
Sale price = $p - 20% of p
= p - 20/100 * p
= p - 0.2 * p
= p - 0.2p
= p(1 - 0.2)
= p(0.8)
= 0.8p
The sale price is represented by the following expressions
Expression B: 0.8p
Expression D: p - 0.2p
What process allows your body to cool off on a hot day?
A. insulation
B. evaporation
C. convection
(Ik I put the subject as math it's cuz biology hardly gets any answers)
Answers
Answer:
I believe the Answer is B
Answer:
B. evaporation
Step-by-step explanation:
which graph shows the line y = -3x + 1
Answers
Explanation:
The slope is negative so the line is going to the left. The y-intersect is 1.
Footlocker was selling Jordans. They bought the Jordan from Nike for $35. They bought 200 pairs of shoes. They sold the Jordans in their stores to the customers for $180. They sold out on the first day. How much did they make/Collect? What was their total expenses? What was their profit?
Answers
Answer:
I don't know what to say to someone who is a high school diploma Android to the other side of the kingdom of the crystal skull and bones
How many solutions exist for the given equation?
3(x – 2) = 22 – x
Answers
Answer:
One solution
Step-by-step explanation:
3(x – 2) = 22 – x
Distribute
3x - 6 = 22 -x
Add x to each side
3x-6+x = 22-x+x
4x -6 =22
Add 6 to each side
4x-6+6 = 22+6
4x = 28
Divide by 4
4x/4 = 28/4
x = 7
Answer:
One solution
Step-by-step explanation:
Solve for x to determine how many solutions it has
3(x - 22) = 22 - x
Distribute the 3
3x - 66 = 22 - x
Add x to both sides
4x - 66 = 22
Add 66 to both sides
4x = 88
Divide both sides by 4
x = 22
The equation has only one solution, the solution being 22
A club raised 175% of it goal for a charity. The club raised $763.
use proportion please
Answers
Answer: The clubs goal is to raise $436.
Step-by-step explanation:
175% * x = 763 where x is the goal
1.75 *x = 763
1.75x = 763
x= 436
Find \sin(\beta)sin(β)sine, left parenthesis, beta, right parenthesis in the triangle.
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
\dfrac{15}{8}
8
15
start fraction, 15, divided by, 8, end fraction
(Choice B)
B
\dfrac{8}{17}
17
8
start fraction, 8, divided by, 17, end fraction
(Choice C)
C
\dfrac{8}{15}
15
8
start fraction, 8, divided by, 15, end fraction
(Choice D)
D
\dfrac{15}{17}
17
15
start fraction, 15, divided by, 17, end fraction
Answers
Answer:
Its 15/17
Step-by-step explanation:
I did it on Khan
Based on the sine ratio, sin (β) in the right triangle is: D. 15/17.
How to Apply the Sine Ratio?Where the hypotenuse and opposite side lengths are known, the sine ratio is expressed as, sine β = opposite/hypotenuse.
Given the following:
Opposite side = 15Hypotenuse = 17Applying the sine ratio, we have:
sin β = 15/17
Learn more about the sine ratio on:
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The difference of two trinomials is x square - 10x+2. If one of the trinomials is 3x squared -11x-4, then which expression could be the other trinomial?
Answers
Answer:
4x²+21x-2
(OR)
2x²-x-6
Step-by-step explanation:
According to the Question,
Given, The difference Between two trinomials is x²-10x+2 & If one of the trinomials is 3x²-11x-4.
Let, Two Trinomials are P(x) = A & Q(x) = 3x²-11x-4
Then, P(x) - Q(x) = x²-10x+2
Put Value, We get
A - (3x²-11x-4) = x²-10x+2
A = x²-10x+2 + (3x²-11x-4)
A = x²-10x+2 + 3x²-11x-4
A = 4x²+21x-2
(OR)
If we Let, Two Trinomials are Q(x) = A & P(x) = 3x²-11x-4
Then, P(x) - Q(x) = x²-10x+2
Put Value, We get
(3x²-11x-4) - A = x²-10x+2
A = 3x²-11x-4 - (x²-10x+2)
A = 3x²-11x-4 - x²+10x-2
A = 2x²-x-6
I've been learning this but I don't remember how to find x?
Answers
Answer:56 degrees
Step-by-step explanation: Using Base Angles Theorem, we can conclude that angle x is 180-62*2, which is 180-124, which is 56 degrees.
Answer:
the answer is x = 56 degrees
and your not finding the side lengths
Step-by-step explanation:
there is 2 62 degrees,
meaning the TOP RIGHT ANGLE OF THE TRIANGLE IS 62 DEGREES if you can't find it in my answer and X IS EQUAL TO THE ANGLE OF 56 DEGREES if you can't read that either
so x = 56
Find a parabola with equation y=ax^2+bx+c that has a slope 10 at x=1, slope -26 at x=-1, and passes through the point (2,29)
Answers
9514 1404 393
Answer:
y = 9x^2 -8x +9
Step-by-step explanation:
The given equation has derivative ...
y' = 2ax +b
The requirements on slope give rise to two equations:
2a(1) +b = 10
2a(-1) +b = -26
Adding these equations together gives ...
2b = -16 ⇒ b = -8
Then we have ...
2a -8 = 10
a = (10 +8)/2 = 9
__
The given point lets us find the constant term c.
y = 9x^2 -8x +c
c = y -(9x -8)x = 29 -(9(2) -8)(2) = 29 -20 = 9
The equation of the parabola is ...
y = 9x^2 -8x +9
