State what additional information is required in order to know that the triangles are congruent for the reason given
Answers
Answer:
63) The additional information is GD ≅ CD
64) The additional information is ∠LQR ≅ ∠PQR
Step-by-step explanation:
SSS ⇒ 3 sides in the 1st Δ ≅ 3 sides in the 2nd ΔSAS ⇒ 2 sides and including angle in the 1st Δ ≅ 2 sides and including angle in the 2nd ΔLet us use the facts above to solve the questions
#63
In triangles BGD and BCD
∵ BG = BC
∵ BD is a common side
To prove that the 2 triangles are congruent using the SSS postulate, then the 3rd sides in the two triangles must be equal∵ The 3rd sides are GD and CD
∴ GD and CD must be equal
∴ GD = CD
∴ The additional information is GD ≅ CD
#64
In triangles LQR and PQR
∵ LQ = PQ
∵ QR is a common side
To prove that the 2 triangles are congruent using the SAS postulate, then the included angles between the congruent sides must be equal∵ The included angles are ∠LQR and ∠PQR
∴ m∠LQR and m∠PQR must be equal
∴ ∠LQR ≅ ∠PQR
∴ The additional information is ∠LQR ≅ ∠PQR
The additional information required in order to know that the triangles are congruent for the reasons given are;
63) DC ≅ DG
63) DC ≅ DG64) ∠LQR ≅ ∠PQR
63) The congruence theorem used here is SSS. This denotes Side - Side - Side. What this means is that the 3 corresponding sides of ΔBGD and ΔBCD are congruent.
Now, we are given;
BC ≅ BG
Also; BD ≅ BD (By reflexive property)
For the SSS congruence theorem to hold, it means that; DC ≅ DG
64) The congruence theorem used here is SAS. This denotes Side - Angle - Side. What this means is that 2 corresponding sides and the Included of ΔBGD and ΔBCD are congruent.
Now, we are given;
QP ≅ QL
Also; QR ≅ QR (By reflexive property)
The included angles here are ∠LQR and ∠PQR.
Thus, ∠LQR ≅ ∠PQR.
Read more at; https://brainly.com/question/14399801
Related Questions
3/4 of what number is 24?
Answers
Answer:
18
Step-by-step explanation:
3/4 times 24 is 18
Answer:
18
Step-by-step explanation:
3\4 ,24 is 18
U Got it!!!!
Malik's arts and crafts shop have a bolt of crimson velvet 32 meters long. A customer came in during the morning and bought 120 centimeters of the velvet. Another customer bought an additional 14 meters during the afternoon. How much crimson velvet does Malik's shop have left? Write the answer in centimeters.
Answers
The rabbit population in a certain area is 200% of last year's population. There are 1,100 rabbits this year. How many were there last year? (Fill in the boxes to help solve this question. Only type the number part of your answer, no words.) *
Answers
Answer:
2200
Step-by-step explanation:
Answer:
550
Step-by-step explanation:
We can write a proportion to find the total amount using the information given. A proportion is two equivalent ratios set equal to each other. Since we know the population increased to 200% of last year and is 1,100.
200/100 = 1100/y
We will cross multiply the numerator of one ratio with denominator of the other. And then solve for y.
200y=100(1100)
200y=110,000
y=550
There was 550 rabbits last year.
Answer the question in the image below ASAP . I will give 100 points even though the question isn't even that hard. Hope you enjoy the points.
Answers
1. 3x^2-3x+2+2=0
3x^2-3x=0
3x(2x-1)=0
x=0, x=1
2. 3x^2-3x-1=x+1
3x^2-4x-2=0
x=4+16+4x2x3
x=4+40 out of 6=C
how do you find what equation models the data?
Answers
1. What is the equation of a line whose x-intercepts is 2 and y-intercepts is 1/3? 2. What is the equation of a line whose x-intercepts is 4 and y-intercepts is -1? I NEED IT NOW PLEASE
Answers
Answer: x + 6y - 2 = 0 ; - x + 4y + 4 = 0
Step-by-step explanation:
General form of equation :
x / a + y/b = 1
With x intercept = a ; y intercept = b
From the question :
X intercept = 2 ; y intercept = 1/3
x / 2 + y/ 1/3 = 1
x /2 + 3y / 1 = 1
Multiply through by 2
x + 6y = 2 ; x + 6y - 2 = 0
2)
x intercept = 4
y intercept = - 1
x / 4 + y/ - 1 = 1
(-x + 4y) / - 4 = 1
-x + 4y = - 4 ; - x + 4y + 4 = 0
What is the slope of the line that passes through the points (3, 2) and (-1, 2) ?
Answers
Answer:
The slope is 0
Step-by-step explanation:
y1 - y2 over x1 - x2 gives you solpe
2 - 2 over 3 - (-1)
2-2 = 0
3 - (-1) = 4
0/4 is 0
I will mark brainlist for this science question please.
Answers
Answer:
50% long legs 50% short legs
Step-by-step explanation:
MUSIC Randall recorded 8 songs on his most recent CD. The total length of the CD is 49 minutes. Find a unit rate to represent the average length per song on the CD. Round to the nearest hundredth.
Answers
Answer: 6.13
Step-by-step explanation:
From the question, we are informed that MUSIC Randall recorded 8 songs on his most recent CD and that the total length of the CD is 49 minutes.
The unit rate to represent the average length per song on the CD will be calculated by dividing 49 by 8. This will be:
= 49 minutes / 8
= 6.125 minutes per song
= 6.13 to nearest hundredths
HELPPP !!! Lennon is depositing $1,250 in a bank account that earns 4% compounded annually. After 2 years , how much will Lennon have in his account ?
A 1350
B 1352
C 1250
D 1300
Answers
Answer:
A) 1350
Step-by-step explanation:
4% of $1250 is 50 dollars.after 2 years the amount should be 100 dollars added
How many black keys would you expect to find on a keyboard with 72 keys in all? Show your work.
I need this ASAP.
Will pick brainliest.
Answers
Answer:
50 black keys
Step-by-step explanation:
for every set of 7 white keys there are 5 black keys
72/7 = 10
so there is a total of 10 full sets of keys
then you have 2 white keys remaining but that doesn't matter because they will just be on the dies and already have a black key next
so this means that you only have to calculate the number of 10 sets of black keys and thats 5 x 10.
hope this helps : )
I don’t know what to do please help
Answers
Answer:
I think it's 54
Step-by-step explanation:
PLEASE HELP, ALGEBRA IS NOT MY SUBJECT!!!
Answers
Answer:
2x-5y=35 :)
Step-by-step explanation:
I need help, I'll give brainliest
Answers
-13x=7
x=0.54
AB=5.16
mark me brainliest if the answer is correct, thank you in advance :)
Answer:
The length of AB is 19.
Step-by-step explanation:
Lengths BC and AD are congruent to each other.
BC: 17x + 4 equals AD:18x
17x + 4 = 18x .... that's the equation it makes and the equation we are going to solve.
[tex] \ 17x + 4 = 18x \\ \frac{ - 17x \: \: \: \: \: \: \:\: = - 17x} {4 = 1x} \\ \\ \frac{4 }{1} = \frac{1x}{1} \\ 4 = x[/tex]
Since we found out the value for 'x', now we are going to plug it in 4x + 3.
[tex]4x + 3 \\ 4(4) + 3 \\ 16 + 3 \\ 19[/tex]
The length of AB is 19.
PLEASE HELP ITS DUE IN 20 MINS
Peter is 2 years older than Winnie. Peter's age is 16 years less than seven times Winnie's age. The equations below model the relationship between Peter's age (p) and Winnie's age (w):
p = w + 2
p = 7w − 16
Which is a possible correct method to find Peter's and Winnie's ages?
Solve w + 2 = 7w − 16 to find the value of w.
Solve p + 2 = 7p − 16 to find the value of p.
Write the points where the graphs of the equations intersect the x axis.
Write the points where the graphs of the equations intersect the y axis.
Answers
Answer:
Solve w + 2 = 7w - 16 to find the value of w
Answer:
Answer A
Step-by-step explanation:
Graph the image of this figure after a dilation with a scale factor of 3 centered at (-7, -6).
Use the polygon tool to graph the dilated figure.
Polygon
+ Move
Undo
Redo
x Reset
у
10
9
8
7
6
5
4
3
2
US
Answers
Answer:
(0,6) (-2,5) (1,3)
Step-by-step explanation:
The dilation transformation gives an image that is similar to the pre-image but have a different size.
What is Scale Factor?A scale factor is a number that can be used to adjust the size of any geometrical figure or object in relation to its original size. It's used to draw the enlarged or reduced shape of any given figure, as well as to calculate the missing length, area, or volume of an enlarged or reduced figure.
We have,
scale factor = 3
and, centered at (-7, -6).
Points on the figure are; A(-7, -3), B(-3, -2), C(-4, -5)
The given points relative to the center of dilation are;
(-7 - (-7), -3 - (-6)) = (0, 3)
(-3 - (-7), -2 - (-6)) = (4, 4)
(-4 - (-7), -5 - (-6)) = (3, 1)
and, after the dilation is
3 × (0, 3) = (0, 9)
3 × (4, 4) = (12, 12)
3 × (3, 1) = (9, 3)
Adding the coordinates of the center of dilation are
A' = (0 + (-7) , 9 + (-6)) = (-7, 3)
B' = (12 + (-7) , 12 + (-6)) = (5, 6)
C' = (9 + (-7) , 3 + (-6)) = (2, -3)
Therefore, the image is A'(-7, 3), B'(5, 6), C'(2, -3).
Learn more about dilation transformation here:
brainly.com/question/4078841
#SPJ7
How would you find an interquartile range with just numbers?
For exe, 0,2,4,0,2,3,8,6. After you unscramble them, you do you know what the iqr is?
Answers
Answer:
IQR is 3.5
Step-by-step explanation:
Step 1: Organize the numbers in numerical order
0,0,2,2,3,4,6,8
Step 2: Break the set up into quartiles (4 parts)
0 0 | 2 2 | 3 4 | 6 8
Step 3: Find the average of each quartile
0 | 2 | 3.5 | 7
Step 4: Find the IQR (Q3-Q1)
3.5-0=3.5
Therefore, the IQR is 3.5
_____ darling your my beast friend
but theirs a feaw things that you dont know of
like how i borrow your lipstick so often
im yousing your shirt as a pillow case
i wanna ruin are friendship we should be lovers insistent
i dont know how to say this but your rlly my dearest friend
Answers
Answer:
□ single
☑ taken
☑ named Justin
☑ cracked at fortnite
+
ht
3
4
-1
2
+
2
4
15-1 -
0 1
A==
+
1
3
? Use the number line to explain your
3
4
answer.
No, because
is to the left of
4
3
4
O No, because
is to the right of
4
4
Yes, because
is to the left of
4
3
4
Yes, because
is to the right of
4.
3
4
Answers
Answer: B.) No, because - 1/4 is to the right of - 3/4
That was the answer I got it right!!!
What is the measure of angle 1 2 and 3
Answers
Answer:
angle 1 = 62 degrees. angle 2 = 45 degrees. angle 3 = 24 degrees
Step-by-step explanation:
factorise x² - 14x-40
Answers
Answer:
mabye like 40-14 and then figure out what it equals
Will mark as brianliest
Answers
Answer:
C
Step-by-step explanation:
Evaluate: 3-3 =
A. 1/9 B. -27 C. 1/27 D. -9
Answers
A hot air balloon gets loose from its anchor the balloon operator is look at the balloon at an angle of inclination of 34. If the balloon is 50 feet in the air, what is the horizontal distance from the balloon to the balloon operator
Answers
Answer:
horizontal distance = 74.13 ft
Step-by-step explanation:
In order to solve this problem, we can start by drawing what the situation looks like. (see attached picture)
As we can see in the picture, we can build a right triangle with the balloon and the operator. We can use a trigonometric function so solve this. Specifically the tan function. We know that:
[tex]tan \theta = \frac{opposite}{adjascent}[/tex]
in this case:
[tex]tan \theta = \frac{h}{l}[/tex]
so we need to figure out what l is equal to. We can solve this equation for l, so we get:
[tex]l=\frac{h}{tan \theta}[/tex]
and substitute the values given by the problem, so we get:
[tex]l=\frac{50ft}{tan (30^{0})}[/tex]
which yields:
l=74.13 ft
Solve for y.
20 = -8v+4(v+4)
Simplify your answer as much as possible.
Answers
Answer:
y=-4, That will be your answer
what's the solution
Answers
Answer:
The center is -1,5 and the radius is 2
Step-by-step explanation:
Subtract 22 from both sides of the equation. x 2 + y 2 + 2 x − 10 y = − 22 Complete the square for x 2 + 2 x . ( x + 1 ) 2 − 1 Substitute ( x + 1 ) 2 − 1 for x 2 + 2 x in the equation x 2 + y 2 + 2 x − 10 y = − 22 . ( x + 1 ) 2 − 1 + y 2 − 10 y = − 22 Move − 1 to the right side of the equation by adding 1 to both sides. ( x + 1 ) 2 + y 2 − 10 y = − 22 + 1 Complete the square for y 2 − 10 y . ( y − 5 ) 2 − 25 Substitute ( y − 5 ) 2 − 25 for y 2 − 10 y in the equation x 2 + y 2 + 2 x − 10 y = − 22 . ( x + 1 ) 2 + ( y − 5 ) 2 − 25 = − 22 + 1 Move − 25 to the right side of the equation by adding 25 to both sides. ( x + 1 ) 2 + ( y − 5 ) 2 = − 22 + 1 + 25 Simplify − 22 + 1 + 25 . ( x + 1 ) 2 + ( y − 5 ) 2 = 4 This is the form of a circle. Use this form to determine the center and radius of the circle. ( x − h ) 2 + ( y − k ) 2 = r 2 Match the values in this circle to those of the standard form. The variable r represents the radius of the circle, h represents the x-offset from the origin, and k represents the y-offset from origin. r = 2 h = − 1 k = 5 The center of the circle is found at ( h , k ) . Center: ( − 1 , 5 ) These values represent the important values for graphing and analyzing a circle.
Evaluate 62 = (12 – x) when x = 3.
A. 4
B. 12
C. 0
D. 3
sorry that the photos bad :(
Answers
Answer:0
Step-by-step explanation: 36 divided by 12 equals 3
Answer:
4
Step-by-step explanation:
I went by the photo not what you typed.
6∧2 ÷ (12 - 3)
36 ÷ (9)
4
Hope this helps. Pls give brainliest.
Finish my lyrics please don't let my points go to waste ;) We're no strangers to love
You know the rules and so do I
A full commitment's what I'm thinking of
You wouldn't get this from any other guy
I just wanna tell you how I'm feeling
Gotta make you understand
Never gonna give you up, never gonna let you down
Never gonna run around and desert you
Never gonna make you cry, never gonna say goodbye
Never gonna tell a lie and hurt you
We've known each other for so long
Your heart's been aching but you're too shy to say it
Inside we both know what's been going on
We know the game and we're gonna play it
And if you ask me how I'm feeling
Don't tell me you're too blind to see
Answers
Answer:
ggggg
Step-by-step explanation:
Answer:
Answer:
We're no strangers to love
You know the rules and so do I
A full commitment's what I'm thinking of
You wouldn't get this from any other guy
I just wanna tell you how I'm feeling
Gotta make you understand
Never gonna give you up
Never gonna let you down
Never gonna run around and desert you
Never gonna make you cry
Never gonna say goodbye
Never gonna tell a lie and hurt you
We've known each other for so long
Your heart's been aching but you're too shy to say it Inside we both know what's been going on
We know the game and we're gonna play it
And if you ask me how I'm feeling
Don't tell me you're too blind to see
Never gonna give you up
Never gonna let you down
Never gonna run around and desert you
Never gonna make you cry
Never gonna say goodbye
Never gonna tell a lie and hurt you
Never gonna give you up
Never gonna let you down
Never gonna run around and desert you
Never gonna make you cry
Never gonna say goodbye
Never gonna tell a lie and hurt you
Never gonna give, never gonna give
(Give you up)
(Ooh) Never gonna give, never gonna give
(Give you up)
We've known each other for so long
Your heart's been aching but you're too shy to say it
Inside we both know what's been going on
We know the game and we're gonna play it
I just wanna tell you how I'm feeling
Gotta make you understand
Never gonna give you up
Never gonna let you down
Never gonna run around and desert you
Never gonna make you cry
Never gonna say goodbye
Never gonna tell a lie and hurt you
Never gonna give you up
Never gonna let you down
Never gonna run around and desert you
Never gonna make you cry
Never gonna say goodbye
Never gonna tell a lie and hurt you
Never gonna give you up
Never gonna let you down
Never gonna run around and desert you
Never gonna make you cry
Step-by-step explanation:
;))
Divide. −38÷−67 please help dudes
Answers
Answer: -7/16
Step-by-step explanation: You flip the right side so it's -3/8*7/6, cross out 3 and 6, so it turns into -1/8*7/2, so 7*(-1) and -8(2), so -7/16
Answer:
7/16
Step-by-step explanation:
1. The Sharks Aquatic Club recently held a fundraiser to raise money for a local charity. The swimmers received money for each lap that they swam during a one-week period. The three swimmers who raised the most money were Rita, John, and Rodell. Together they swam a total of 2125 laps. John swam three times as many laps as Rita, and Rodell swam 25 more laps than John. How many laps did each swimmer swim?
Answers
Answer:
Rita = 300
John = 900
Rodell = 925
Step-by-step explanation:
rita = x (let
john = 3x ( john swims three times more than rita
rodell = 25 + 3x ( rodell swims 25 more than john
x + 3x + 25 + 3x = 2125
or, 7x + 25 = 2125
or, 7x = 2125 - 25
or, x = 2100/7
x = 300
hence,
x = 300
3x = 3 × 300
= 900
25 + 3x = 25 + 900
= 925
