The answer is actually A. HL
The congruence theorem can be used to prove Δ BDA ≅ Δ DBC is HL.
Option A is the correct answer.
What is triangle congruency?There are ways to prove that two triangles are congruent.
- Side-Side-Side (SSS) Congruence.
The three sides of one triangle are equal to the corresponding three sides of another triangle.
- Side-Angle-Side (SAS) Congruence.
The two sides and the included angle of one triangle are equal to the corresponding two sides and included angle of another triangle.
- Angle-Side-Angle (ASA) Congruence.
The two angles and the included side of one triangle are equal to the corresponding two angles and included side of another triangle.
- Angle-Angle-Side (AAS) Congruence.
We have,
We see that,
ΔBDA and ΔDBC are both right triangles.
Now,
DC = AB (hypotenuse) (given)
DB = DB ( Common sides )
CB = DA ( Remaining side of the right triangle )
ΔBDA ≅ ΔDBC
Proved by HL.
Thus,
The congruence theorem can be used to prove Δ BDA ≅ Δ DBC is HL.
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Andrew ate 2/3 of the desert. cassandra ate 5/16 of the desert. what portion of the desert did andrew and cassandra eat altogether?
Answer:
Concept: Fractions
A ate 2/3 and C ate 5/16Let us find a common denominator Let 48 be our common DHence 32/48+ 15/48 = 47/48Answer:
The portions added together make 47/48 of the dessert.
Step-by-step explanation:
To find the total amount that Andrew and Cassandra ate of the dessert, we have to add the two fractions together:
[tex]\frac{2}{3} + \frac{5}{16}[/tex]
[tex]\frac{32}{48} + \frac{15}{48}[/tex]
[tex]\frac{47}{48}[/tex]
Hence, Andrew and Cassandra almost ate up all of the dessert, clocking in at 47/48 of the dessert.
Hope this helped!
URGENT IF YOU DO THIs ILL GiVE BRAINLEST
Answer:
b
Step-by-step explanation:
thats what i got
Answer:
j
Step-by-step explanation:
What is m∠ABC?
A. m∠ABC = 60°
B. m∠ABC = 67°
C. m∠ABC = 120°
D. m∠ABC = 127°
Brainlist for the correct answer
Answer:
The answer is D I'm not sure
Answer:
127 degrees
Step-by-step explanation:
When you add up all three angles of a triangle, the sum will always be 180 degrees. Just add up the two known angles and that will equal Angle ABC because a straight line also equals 180 degrees
Need help ASAP please
Answer:
=
Step-by-step explanation:
Round off 12 and get 10
Please Help!!
Triangle ABC has vertices A (3,4), B (-5,2), and C (1,4).
Determine
a) an equation for CD, the median from C to AB
i. Find the coordinates of D (th mid point).
can someone help me with 11 please
Answer:
apples: 2, 4, 6, 8
oranges: 5, 10, 15, 20
Step-by-step explanation:
what it looks like to me is that they are first counting by 2's, then 5's. hope this helps somehow
Step-by-step explanation:
First, you want to find the change in the top collum, and then the bottom collum.
The top collum seems to go up by 2, so it would be 2,4,6,8
The bottom collum seems to go up by 5 so it would be 5,10,15,20
And boom! there's ur answer!
A particular beach is eroding at a rate of 4 centimeters per year. A realtor converts this rate to millimeters per day. Which expression, when evaluated, results in the correct units and numerical value?
StartFraction 4 centimeters Over 1 year EndFraction times StartFraction 10 millimeters Over 1 centimeter EndFraction times StartFraction 1 year Over 365 days EndFraction
StartFraction 4 centimeters Over 1 year EndFraction times StartFraction 1 millimeters Over 10 centimeter EndFraction times StartFraction 1 year Over 365 days EndFraction
StartFraction 4 centimeters Over 1 year EndFraction times StartFraction 1 centimeter Over 10 millimeters EndFraction times StartFraction 365 days Over 1 year EndFraction
StartFraction 4 centimeters Over 1 year EndFraction times StartFraction 10 millimeters Over 1 centimeter EndFraction times StartFraction 365 days Over 1 year EndFraction
Answer:
Step-by-step explanation:
the answers below are hard to read
we have 4 cm/year and the realtor wants to convert in mm/day
4 cm=40 mm this is our first step
1 year=365 days
we will have 40mm/365days
or 4cm/1 year x 10 mm/365 days
Linda had a previous balance of $1,000 and made an on-time credit card payment of $800. She has a credit line of x dollars and made purchases totaling y dollars. Write an algebraic expression that represents her current available credit.
Answer:
[tex]x-200+y[/tex]
Step-by-step explanation:
We can determine the algebraic expression that represents her current available credit by first finding her new balance using the formula:
Previous balance - Payments + Total Purchases = New balance
where, previous balance = $1000; payments = $800; total Purchases = y
New balance = [tex]1000-800+y[/tex]
Next, to find her Credit balance or current available; we use the formula; Credit line - New balance
where credit balance = x; new balance = [tex]1000-800+y[/tex]
Current available credit = [tex]x-200+y[/tex]
ASAP SOMEONE HELP ME PLZ
A company policy requires that, for every 60 employees, there must be 3 supervisors. If there are 264 supervisors at the company, how many employees does the company have?
A.
2,640
B.
4,752
C.
5,280
D.
6,336
Step-by-step explanation:
3 supervisors = 60 employees
=> 264 supervisors = 60 * (264/3) = 5,280 employees. (C)
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Question 6 of 25 -
Which letters shown below on the number line also have their opposites labeled?
A
B
c
D
0
A and D
Band C
o
A, B, and
O
B, C, and D
O
Previous
ii
Type here to search
2
** N
PLEASE HELP MEEE!!!!
Answer:
The correct option is;
B, C, and D
Step-by-step explanation:
The labelled letters on the number line are;
A = 2 units to the left of the point 0 = - 2 units
B = 1 units to the left of the point 0 = - 1 unit
C = Located at the point 0
D = 1 units to the right of the point 0 = +1 unit
Therefore, the letters that have their opposites labelled are;
Given that we have;
The opposite of B = -1 is +1 = D
The opposite of D = +1 is -1 = B
The opposite of C = 0 is 0 = C
The letters which have their opposites labelled are B, C and D
Write an equation in point-slope form of the line that passes through the point (3,-8) and has a slope of 7. PLZ help meh!!
Answer:
y-(-8) = 7(x-3) or
y+8 = 7(x-3)
How many pounds are there in 2/3/4 tons (1 ton = 2000 pounds)
I already finished it but how do you know if it’s decreasing or increasing?
Please explain to me :)
Answer:
If the slope is positive it is increasing if the slope is negative it is decreasing :)
Example:
Y=mX+b
If m is positive it is a positive slope
9) How much edging is needed to go
around a bulletin board that is 3 feet
high and 2 feet wide?
Answer:
10 feet worth
Step-by-step explanation:
3+3=6
2+2=4
6+4=10
#5 Determine the x and y intercept of the following
equation.
2x + y = 6
Answer:
Step-by-step explanation:
y= -2x+6
Y intercept is 6
X intercept is 3
X+19=-9
pls help!! algebratic equations
Answer:
x=-28
Step-by-step explanation:
Subtract 19 from both sides.
-9 -19 = -28
Answer:
-28
Step-by-step explanation:
you need to get x by itself, so subtract 19 on each side. -9-19= -28
Which point is located at (4, 1)?
A
B
C
D
Answer:
A is located at (4,1)
Step-by-step explanation:
The first number will always be on the x-axis and the second will always be on the y-axis. For example: (x,y) so A is (4,1) , B is (-4,1), C is (1,4) and D is (-1,4).
Hope this helps! ;)
Final Answer: Point A
Steps/Reasons/Explanation:
Question: Which point is located at [tex](4, 1)[/tex]?
The x-axis would be 4 and the y-axis would be 1. The x-axis is horizontal and the y-axis is vertical.
For the x-axis, it tells you the markings of the numbers, so moving to the right would be positive and left would be negative.
For [tex](4, 1)[/tex] we would go four to the right and one up. Point A is located there.
~I hope I helped you :)~
Solve for the variable using Trig ratio.
Answer:
x = 3.86
a = 5.86
Step-by-step explanation:
From the triangles attached,
By applying cosine rule in triangle 1,
cos(50)° = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]
cos(50)° = [tex]\frac{x}{6}[/tex]
x = 6cos(50)°
x = 3.86
Now we apply sine rule in the second triangle,
sin(23)° = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]
sin(23)° = [tex]\frac{a}{15}[/tex]
a = 15sin(23)°
a = 5.86
Which is the graph of f(x) = RootIndex 3 StartRoot x EndRoot – 4?
Answer:
please mark me brainliest and follow me my friend.
What is the result of 4 ➗8/12
A) 1/6
B) 3/8
C) 3
D) 6
This is an edge unit test with 1 hour left please help me
Answer: D
Step-by-step explanation:
How can the additive inverse be used to evaluate the problem below?
Negative 3 minus (negative 6)
Answer:3
Step-by-step explanation:
-3--9
-3+9=6
Answer:
Its D
Step-by-step explanation:
100 on quiz
What are the next two terms in the sequence 22, 15, 8, __, __? 1, -7 2, -4 2, -6 1, -6
Step-by-step explanation:
The sequence is an AP with common difference -7.
Therefore the next 2 terms are 1 and -6.
The next two terms are ( 1, - 6 ) so the correct answer is option D.
What is arithmetic progression?
The sequence in which every next number is the addition of the constant quantity in the series is termed the arithmetic progression.
The next two numbers will be calculated as:-
22, 15, 8, __, __
Common difference = 15 - 22 = -7
Add this common difference in 8 to find the next term.
Next term = 8 - 7 = 1
Again add -7 to 1 to find the next term.
Next term = 1 - 7 = -6
Therefore the next two terms are ( 1, - 6 ) so the correct answer is option D.
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Need a quick answer please
Step-by-step explanation:
S is equal to Q
Q= 48.5
there are two angels (S,Q). They equal 48.5
so 48.5x2= 97
all angels together (QRSP) equals 360
you can take the 97 and subtract it from the 360 =263
divide 263 to get the angels for P and R
S= 48.5
Q=48.5
R=131.5
P=131.5
What is the constant variation of 2x+y=-4?
Answer:
What is the constant variation of Y =- 2 3x?
The constant of variation, k , is 23 .
What is the constant variation of Y 1 2x?
The constant of variation, k , is 12 .
Step-by-step explanation:
yeet yeet yeet
A baseball is thrown in a parabolic arc. It's position above the ground at a given point in time can be represented by the quadratic function LaTeX: p\left(t\right)=\frac{1}{2}gt^2+v_0t+p_0p ( t ) = 1 2 g t 2 + v 0 t + p 0, where LaTeX: t\ge0t ≥ 0, LaTeX: gg is -32 ft/sec/sec, LaTeX: v_0v 0 is initial velocity, and LaTeX: p_0p 0 is its initial position above the ground. If the ball was thrown straight up at 16 ft/sec when it was 5 ft above the ground, how high did it go?
Answer:
The baseball reached 9 feet high above the ground
Step-by-step explanation:
The given quadratic function representing the position of the baseball above ground is p(t) = 1/2·g·t² + v₀·t + p₀
Where;
t ≥ 0
g = -32 ft./sec²
v₀ = The initial velocity
p₀ = The initial position
Given that when the ball is thrown, we have;
The initial, straight up, velocity, v₀ = 16 ft./sec
The initial position, p₀ = 5 ft.
Substituting the above values in the quadratic function representing the position of the baseball above ground, we have;
p(t) = 1/2·(-32)·t² + 16·t + 5 = 16·t - 16·t² + 5
At the maximum point, the rate of change of the height with time = 0, therefore;
dp(t)/dt = 0 = d(16·t - 16·t² + 5)/dt = 16 - 32·t
16 - 32·t = 0
16 = 32·t
t = 16/32 = 0.5 seconds
Therefore, the time takes to reach the maximum height = 0.5 seconds
The height (maximum) reached in 0.5 seconds is given as follows;
h(t) = 16·t - 16·t² + 5, from which we have;
h(0.5) = 16 × 0.5 - 16 × (0.5)² + 5 = 9
Therefore, the height baseball reached = 9 ft. above ground
I need help with this question! Will mark brainliest :)
Answer:
A. y = 5/4x - 3
B. slope is 5/4
C. y intercept is -3
D. Increasing
Step-by-step explanation:
5x - 4y = 12
Slope intercept form: y = mx + b
4y = 5x - 12
y = 5/4x - 3
Slope is 5/4
Y intercept is when x = 0 so it is -3
the slope is positive, therefore the line is increasing
Hi lol um im confused I will give brainless and im slow so please answer this ? if you know :p
Answer:
27.5 answer B
Step-by-step explanation:
55/200 = .275
Answer:
B is the right answer i guess
Line A Is Parallel To Line B. If The Measure Of Z7 Is 114”, What Is The Measure Of 3
Answer:
114°
Step-by-step explanation:
because they are parallel they have the same measure
The measure of angle 3 is equal to 114° when angle 7 is 114° by the corresponding angle property.
What are correspondence angles?The angle is defined as the span between two intersecting lines or surfaces at or close to the point where they meet.
According to the definition of corresponding angles, when two parallel lines cross the third one, the angles that are in the same relative position at each intersection are referred to as being corresponding angles to one another.
In the image, it is given that angle 7 is 114 degrees. As in the image, the two parallel lines a and b are cut by the transversal line. The given angle 7 is 114°.
From the correspondence angle property, the two angles on the same side of the transversal line will be equal to each other. The angle 3 will be calculated as:-
∠7 = ∠3
114 = ∠3
Therefore, angle 3 will be 114°.
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Which ordered pairs are soultions to the inequality y-2x<-3
Answer:
(-3, 3/2)
Step-by-step explanation:
Given the inequality function y-2x<-3, to get the solution, we will need to find the x and y-intercept of the inequality function
y-intercept occurs at x = 0
Substitute x = 0 into the expression
y - 2(0) < -3
y < -3
Find the x-intercept by substituting y = 0 into the expression
0 - 2x < -3
-2x < -3
x > 3/2
Hence the ordered pair is (x, y) = (-3, 3/2)