Given that
In ∆ ABD , AB = BD------(1)
=> Angle B = Angle D
Since the angles opposite to equal sides are equal.
=> Angle A = Angle D
and
BC bisects Angle B
=> Angle BCA = Angle CDB ----(2)
And
BC = BC (Reflexive Property) -----(3)
From Eqⁿ(1),(2)&(3) we have
BA = BD
< ABC = BCD
BC = BC ( Common Side)
Therefore, ∆ ABC =~ ∆ DBC
by SAS property
Hence, proved.
Additional comment:
The angles opposite to equal sides are equal.In two triangles , the two sides and the included angle of the first triangle are equal to the corresponding two sides and the included angle in the second triangle then they are congruent and this property is called Side-Angle-Side (SAS) Property.CPCT - Corresponding parts in the Congruent triangles are equal.Angle bisector divides the angle into two equal parts.The sum of two adajacent angles is 180° they are called Linear Pair.also read similar questions:Given: AD perpendicullar DB, DB perpendicullar BC, AB = CD Prove: AB||DC..
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given: AB ≈ DC ; AC ≈ DB PROVE: ABC ≈ DCB THE DIAGRAM SHOWS A 2 COLUM PROOF. ORDER THE REASONS SHOWN IN THE LIST TO MATCH THE STATEMENTS ......
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HELLLP-
What is the location of the origin?
(0,0)
(1,1)
0
(10,10)
Chance has hired a construction crew to renovate his kitchen. They charge $3.57 per square foot for materials and $122.22 per day
of labor. Chance spent $3,411.87 on the renovation. If the number of square feet is 251 more than the number of days it took for the
renovation, how long did the renovation take?
which temperature is lower -6 or 3
Answer:
-6
Step-by-step explanation:
this is so easy. if u watch anime at least get to 5th grade. anyways, -6 is less than 3 because -6 is negative, meaning below 0.
For what values of x is the trionomial 2x^2-x+55 equal to the square of bionomial x+5?
Answer:
[tex]x_1= 6, x_2=5[/tex]
Step-by-step explanation:
Well well well, let's write it down as an equation
[tex]2x^2-x+55 = (x+5)^2[/tex]
And then let's just do what's asking us to do
[tex]2x^2-x+55 = x^2+10x+25\\x^2-11x+30=0[/tex]At this point, it's quadratic formula time. Let's first calculate [tex]\Delta = b^2-4ac[/tex] to simplify the process
[tex]\Delta = 121-4(1)(30) = 121-120=1[/tex]
[tex]x= \frac{11\pm1}{2}; x_1= 6, x_2=5[/tex]
solve the equation 5(3x-1)=4(3x-2)
Answer:
x=-1
Step-by-step explanation:
15x-5=12x-8 Simplify Parentheses
3x=-3 Isolate the variable
x=-1 Divide by 3 on both sides
Answer:
[tex]x=-1[/tex]
Step-by-step explanation:
Our equation is
[tex]5\left(3x-1\right)=4\left(3x-2\right)[/tex]
First, we distribute
Now we have
[tex]15x-5=12x-8[/tex]
Subtract [tex]12x[/tex] from both sides
[tex]3x-5=-8[/tex]
add [tex]5[/tex] to both sides
[tex]3x=-3\\[/tex]
Divide both sides by 3
[tex]x=-1[/tex]
Brainliest please
please help and explain how to do it
How do I do this? Help me please
Answer:
4.6 and 3.5 and 3.6.
Step-by-step explanation:
Because they have to be in a range between 3.7 and 4.3.
pls help me rnnn and dont u dare to put links
Answer:
g=4, h=2
Step-by-step explanation:
Answer:
[tex]g=4, h=2[/tex]
Step-by-step explanation:
First, put them together. 6g+-6 gets rid of g to leave the rest: 10h=20
Then, just divide 10h by 10 to get h alone. h=2
Plug it in 6g+8h=40
6g+16=40
-16 -16
6g=24
g=4
So the answer is g=4, h=2
Have a great day! :))
what is x-2y=3 and 4x-8y=12
Answer:
2y x5
Step-by-step explanation:
What is the estimated total of 674, 692, 724, and 739?
Answer:
2800 is a good estimate
Step-by-step explanation:
Rounding to the nearest hundred
674 = 700
692 = 700
724 = 700
739 = 700
700+700+700+700 = 2800
Rodrigo is taking a road trip. He plans to drive 2,471 miles, with an average of 230 miles per day.
Which equation represents Rodrigo's remaining miles, y, in terms of the number of days, x?
y=2,471x−230y is equal to 2 comma 471 x minus 230
y=−230x+2,471y is equal to negative 230 x plus 2 comma 471
y=2,471x+230y is equal to 2 comma 471 x plus 230
y=230x+2,471y is equal to 230 x plus 2 comma 471
Answer:
y= 2,471x - 230y because each day he travels the same average distance of 230 miles
Answer:
230 miles that is the answer
(3 questions for 50 points)PLZ HELP
Answer:
see explanation
Step-by-step explanation:
(10)
Since the triangles are congruent then corresponding sides are congruent, so
EF = BC , that is
4x - 1 = 19 ( add 1 to both sides )
4x = 20 ( divide both sides by 4 )\
x = 5
and
DE = AB , that is
y - 6 = 8 ( add 6 to both sides )
y = 14
-------------------------------------------------------
(11)
Since the triangles are congruent the corresponding angles are congruent, so
∠ K = ∠ Y , that is
3x - 37 = 41 ( add 37 to both sides )
3x = 78 ( divide both sides by 3 )
x = 26 , then
∠ K = 3x - 37 = 3(26) - 37 = 78 - 37 = 41°
The sum of the 3 angles in Δ ZMK = 180° then
∠ Z = 180° - (41 + 112)° = 180° - 153° = 27°
So
∠ A = ∠ Z
2y + 7 = 27 ( subtract 7 from both sides )
2y = 20 ( divide both sides by 2 )
y = 10
------------------------------------------------------------------------
(12)
Since the triangles are congruent the corresponding sides and angles are congruent
DG = BS
4x - 11 = 25 ( add 11 to both sides )
4x = 36 ( divide both sides by 4 )
x = 9
∠ T = 180° - (56 + 21)° = 180° - 77° = 103°
Then
∠ H = ∠ T
7y + 5 = 103 ( subtract 5 from both sides )
7y = 98 ( divide both sides by 7 )
y = 14
Given:
A
B
‾
≅
A
C
‾
AB
≅
AC
and
B
E
‾
≅
C
E
‾
.
BE
≅
CE
.
Prove:
∠
B
D
E
≅
∠
C
D
E
∠BDE≅∠CDE.
Answer:
∠ABC ≅ ∠DBE
Step-by-step explanation:
The triangle ΔDBE is congruent to the triangle ΔDCE by the SAS postulate. Then the angle ∠BDE is congruent to the angle ∠CDE.
What is the triangle?The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.
The triangle ΔABE is congruent to the triangle ΔACE. Then we have
AB = AC
∠BEA = ∠CEA
BE = CE
In triangles ΔDBE and ΔDCE, then we have
AB = AC (Given)
∠BEA = ∠CEA (Given)
DE = DE (Common sides)
The triangle ΔDBE is congruent to the triangle ΔDCE by the SAS postulate. Then the angle ∠BDE is congruent to the angle ∠CDE.
More about the triangle link is given below.
https://brainly.com/question/25813512
#SPJ2
A salesman sells a car for 960,000.If he receives a commission of 15%,how much will be his commission?
Answer:
144 000
Step-by-step explanation:
960 000 × 0.15
= 144 000
Answer:
144,000
Step-by-step explanation:
[tex] \frac{15}{100} \times 960000 \\ 15 \times 9600 \\ 144000[/tex]
The distance, d, that an object foto is directly proportional to the square of the time, t, it has been in free fall. An object that has been in free fall for 8 seconds has fallen 1024 feet. Determine the distance the object has fallen if it has been falling for 2 seconds
Answer:
d = 64 feet
Step-by-step explanation:
Given that d is directly proportional to t² then the equation relating them is
d = kt² ← k is the constant of proportion
To find k use the condition t = 8 , d = 1024 , then
1024 = k × 8² = 64k ( divide both sides by 64 )
16 = k
d = 16t² ← equation of proportion
When t = 2 , then
d = 16 × 2² = 16 × 4 = 64 feet
micheal-anthony and jocelyn are both running around the track at school. michael-anthony runs 3 miles in 20mins and continues running at this pace for 1 hour. jocelyn runs 4 miles in 30 mins and continues running at this pace for1 hour. how many miles does each person each person run in an hour? who runs faster?
explanation is needed
The number of miles each person runs after an hour is;
Michael Anthony = 9 miles
Jocelyn = 8 miles
The person that runs the fastest is;
Michael Anthony with a speed of 0.15 miles per minute.
Michael-Anthony runs 3 miles in 20 minutes
Now formula for speed is;
Speed = distance/time
Thus;
Speed of Michael Anthony = 3/20 miles per minute = 0.15 miles per minute
Thus, in 1 hour = 60 minutes,
Distance covered = 3/20 × 60
Distance covered = 9 miles
Jocelyn runs 4 miles in 30 minutes
Speed of Jocelyn = 4/30 = 0.133 miles per minute
Distance covered by Jocelyn in 1 hour = 60 minutes is; 0.133 × 60 = 8 miles
Read more about distance, time and speed relationship at; https://brainly.com/question/3267354
Find the perimeter. Simplify your answer.
Answer:
32t
Step-by-step explanation:
parallelogram. two opposite sides r equal.
2(8t+2)+2(8t-2)
16t+4+16t-4
32t
need help knowing if I got it right
Answer:
yeppp i got the same answer
Step-by-step explanation:
help me pls. will mark brainliest
Answer:
(1,1) and (2,2)
Step-by-step explanation:
you have to locate points that will overlap with both shaded area
100 POINTS WHEN ANSWERED AND BRAINLIEST GIVEN TO FIRST CORRECT ANSWER WHENEVER IT LETS ME
Hello there, below here is an attached file of the particular question I have. Thank you so much for coming here to answer! I appreciate you, and I hope have a good day or night!
Answer:
a: 0
b: 1,3
c: 2
Step-by-step explanation:
a: 4 is the y intercept meaning 0 is the number of seconds when the ball is 4 feet in the air
b: to easily find this, we can graph.
1st screenshot is for B.
We see that y=52 intersects twice with the graph, meaning the ball was at 52 feet twice. the times are 1 second and 3 seconds
a: we graph again, but with y=68 we see that it only intersects once. at x=2.
find x help meh pls
6 4/5=5/6x−3/12
A circle has circumference 200π feet. What is the radius of the circle? please explainn
Answer: 100 feet
Step-by-step explanation: Circumference is found using the formula C = 2πr. We can also use C = πd because diameter is two times the radius. Now that we know this, we can see that the diameter in your problem is 200 which means the radius is 200/2 or 100 feet. Hope this helps!
Would appreciate brainly <3
The length of a rectangle is increasing at a rate of 7 cm/s and its width is increasing at a rate of 3 cm/s. When the length is 11 cm and the width is 5 cm, how fast is the area of the rectangle increasing?
Answer: 89 cm^2/minute
Step-by-step explanation:
Initial Area: 11 x 5 = 55 cm^2
Area after 1 minute: 18 x 8 = 144 cm^2
The area of the triangle is increasing by
Use the graph to identify the following: end behavior. for a branlist
Answer:
the first option, increasing as x approaches infinity and decreasing as x approaches negative infinity
Step-by-step explanation:
What is the area of this triangle NO LINks OR I WILL REPORT
Answer:
18 square inches
Step-by-step explanation:
Area of triangle = bxh/2
b=3, h=12
Area = 3x12/2
Area = 36/2
Area = 18 square inches
Can someone explain or help me with this?
Answer:
Step-by-step explanation:
6085 rounded to the nearest hundred is 6100
51,672 rounded to the nearest ten thousand is 50,000
Put the following equation of a line into slope-intercept form, simplifying all
fractions.
8x + 6y = -54
Answer:
y = - 4/3x - 9
Step-by-step explanation:
Answer:
[tex]y = -\frac{4}{3}x - 9[/tex]
Step-by-step explanation:
The standard form of linear equation is: Ax + By = C, where A, B, and C are integers; A and B ≠ 0, and A is a non-negative integer.
Given the linear equation in standard form, 8x + 6y = -54, we can transform this equation into its slope-intercept form, y = mx + b.
First, subtract 8x from both sides:
8x + 6y = - 54
8x - 8x + 6y = - 8x - 54
6y = -8x - 54
Divide both sides by 6 to isolate y:
[tex]\frac{6y}{6} = \frac{-8x - 54}{6}[/tex]
[tex]y = -\frac{4}{3}x - 9[/tex] ⇒ This is the slope-intercept form where the slope, m = [tex]- \frac{4}{3}[/tex], and the y-intercept, b = -9.
CAN SOMEONE HELP ME PLEASE ASAP!
Step-by-step explanation:
the same factor of one dimension or one line applies then for all dimensions or lines.
the length goes from 16 to 32 cm. that means it doubles.
so, we need to double also the width :
10.5 × 2 = 21 cm
therefore, the first answer option is correct.
HELP HELP HELPP PLEASEDEEEE
what is 16% x 19
SHOW WORK PLEASEEEEEEE PLS PLS PLSSSSSSSS
Answer:
3.04
Step-by-step explanation:
16% is 0.16. Multiply 0.16 * 19 to get 3.04
Answer:
this last answer will come 304
i need help with two questions please, guathmath doesn't seem to help!