Answers
Answer:
ΔAOK ≅ ΔBOL by SAS
Step-by-step explanation:
Hello there!
We are given:
Line segment AB intersects line segment KL at point O
O is the midpoint of AB
O is the midpoint of L
We want to prove that ΔAOK is congruent to ΔBOL
From the given picture, line segments AK and LB don't exist, but we can draw them in
Once we've drawn them in, we can use the given information to help us
Since O is the midpoint of AB, AO = OB by the definition of a midpoint
O is also the midpoint of LK, and because of that, LO=OK, also because of the definition of a midpoint
Since O is the intersection of AB and KL, that means that O would help form the vertical angles <LOB and <KOA (which are congruent because of vertical angles theorem)
Now, we have 2 sides and an angle which are congruent.
In the answer, we already have ΔAOK filled in
Remember that when naming congruent triangles, the congruent pieces need to match
A corresponds with B
O corresponds with O
K corresponds with L
So, that means ΔAOK ≅ ΔBOL
The reason is because of SAS (side-angle-side). The reason why it's SAS is because we have 2 pairs of congruent sides and one angle which is congruent
Please see the picture below if you'd like a visual aid
Hope this helps!
Related Questions
What is the factored form of the expression below?
6x^2 + 17x + 5
a (3x + 1)(2x + 5)
b (6x + 1)(3x + 5)
c The expression cannot be factored over the integers.
d (3x + 5)(2x + 1)
Answers
Answer:
The correct choice is option a. (3x + 1)(2x + 5)
Step-by-step explanation:
6x^2 + 17x + 5
= 6x^2 + 15x + 2x + 5
= 3x(2x + 5) + 2x + 5
= (3x + 1)(2x + 5)
Answer:
a. (3x+1)(2x+5)
Step-by-step explanation:
6x^2 + 17x + 5
6 = 3x times 2x and 5 = 1 times 5
(3x + 1) (2x + 5)
Can someone help me do this
Answers
Answer:
X = 2
5y + (what is that number???) can not see it
So to find x ,
5x+2=12 as they are equivalent on the triangles
Minus 2 from both sides
5x = 10
Divide by 5 from both sides
X = 2
5y+6 = 111
Minus 6 from both sides
5y = 105
Divide by 5 from both sides
Y = 21
Peyton has two summer jobs. During the week she works in the grocery store, and on the weekend she works at a nursery. She gets paid $15 per hour to work at the grocery store and $16 per hour to work at the nursery. How many total hours does she work if she does 12 hours at the grocery store and 9 hours at the nursery? How many total hours does she work if she does gg hours at the grocery store and nn hours at the nursery?
Answers
Answer:
Total hours worked = 21
Total earned = 15gg + 16nn
Step-by-step explanation:
We know:
Grocery store: $15/hour
Nursery: $16/hour
Total hours worked = 12 + 9 = 21
Your expression would be:
Total earned = 15gg + 16nn
Triangle ABC is transformed to create triangle MNO and triangle PQR as described below.
MNO represents the translation 2 units left and 2 units down of triangle ABC.
PQR represents the dilation of triangle ABC by a scale factor of 2.
Which of these is correct?
Answers
The missing options are located here; https://brainly.com/question/18156103
The option that correctly describes the transformation that took place with triangle ABC is; Option A.
In transformations, translation simply means shifting an object from one position to the other while dilation simply means increasing or decreasing an object by a scale factor.This means that translation preserves the lengths and angles of the object while the lengths and angles change with dilation.Option A; Triangle MNO represents a translated triangle and as such the lengths and angles remain unchanged and so this option is correct.
Option B; Not true because both lengths and sides are preserved as stated above.
Option C; Transformation to PQR denotes dilation by a factor of 2 and as such the lengths and angles change. Thus this option is not true.
Option D; This is not true for the same reason in option C above.
Read more at; https://brainly.com/question/18156103
Part F
Are the two triangles similar? Why or why not?
Answers
The Two triangles are similar. The bigger blue triangle is the quadruple the size of the smaller green one. The blue triangle's area is 4 times the green one.
Blue triangle- 6×4=24
Green triangle- 3×2=6
Mark BRAINLIEST!
Please!!!
write an equation of the line perpendicular to given line that contains P. P(5,-4); y=1/5x+4
Answers
Answer:
y = - 5x + 21
Step-by-step explanation:
Slope: -5
Point: (5, -4)
b = - 4 - (- 5)(5)
b = - 4 + 25
b = 21
Select all the statements that best describe the graph below.
Answers
The Correct choices are :
The independent variable is MonthsThis is a positive relationship The relationship is linear The rate of change is constant The dependent variable is dollars in savings accountExplain or show work to prove that the following equation is true.6 x 8 = 3 x 2 x 2 x 2 x 2
Answers
Answer:
see explanation
Step-by-step explanation:
To prove the equation id true, solve both sides and if they are equal then the equation is true.
left side = 6 × 8 = 48
right side = 3 × 2 × 2 × 2 × 2
= 6 × 2 × 2 × 2
= 12 × 2 × 2
= 24 × 2
= = 48
Since both sides are equal then the equation is true
58
4 25
What is the mixed number of decimals
Answers
Answer:
fun fact : by reading what i just right u just lost 5 sec of your life
Step-by-step explanation:
How many times as great is 4 x 106 compared to 8 x 103
PLEASE HURRY AND ANSWER KIND OF IN A RUSH HERE
Answers
The number of times [tex] 4 \times 10^{6} [/tex] is greater than [tex] 8 \times 10^{3} [/tex] obtained using the division operation is 500 times
Given ::
Numerator = [tex] 4 \times 10^{6} [/tex] Denominator = [tex] 8 \times 10^{3} [/tex]Using the principle of indices :
[tex] (4 \times 10^{6}) \div (8 \times 10^{3}) = 0.5 \times 10^{(6-3)} = 0.5 \times 10^{3} = 500 [/tex]Therefore, [tex] 4 \times 10^{6} [/tex] is 500 tones greater than [tex] 48 \times 10^{3} [/tex]
Learn more : https://brainly.com/question/18360970
Ozzie is 6 years older than McKenzie. Theo is Ozzie's dad and is 3 times older than McKenzie. Ozzie is 8 years old. How old is Theo?
Answers
Answer:
If Ozzie is 8 and 6 years older than McKenzie, then McKenzie is 2 years old. So if Theo is 3 times older than McKenzie, then Theo is 6 years old.
he recipe makes enough stew for 6 people, and the ingredients cost $9.75. How much would it cost to serve 24 people?
A student solved the problem using the proportion StartFraction 6 over 9.75 EndFraction = StartFraction c over 24 EndFraction Explain the error in this proportion.
Answers
Answer:
24 times 9.75 = $234
Step-by-step explanation:
Answer:
It would cost $39 to serve 24 people
Step-by-step explanation:
If the recipe makes enough stew for 6 people, and the ingredients cost $9.75, then for 24 people it will cost $x. You can write this statement as
6 people - $9.75,
24 people - $x.
Or as proportion,
6/24=9.75/x
Find x:
6·× =9.75·24,
x=9.75·24/6=9.75·4=39
Answer: It would cost $39 to serve 24 people
Consider the inequality.
What is the solution to inequality
Answers
Answer:
C, hope this helps :)
Answer:[tex]x\leq 2[/tex]
Step-by-step explanation:
The Flintstone and Rubble families went out to dinner. The Flintstones purchased 3 cheeseburgers and 2 hotdogs for $19. The Rubbles purchased 2 cheeseburgers and 1
hotdog for $12.
Determine the total cost of buying ONE cheeseburger and ONE hotdog to select the True statement:
O A. 1 cheeseburger + 1 hotdogs4
B. 1 cheeseburger + 1 hotdog = $5
OC. 1 cheeseburger + 1 hotdog = $6
OD 1 cheeseburger + 1 hotdog = 57
Answers
Answer:
C
Step-by-step explanation:
what is 15% of $8.00
Answers
Answer:
15% of $8.00 is: $1.20
Step-by-step explanation:
Hope this helps :)
Pls mark as brainliest <3
0.884743701 British pounds and 1.2 US$
Ashley has 6 books and 9 pencils. James has 12 pencils but is not able to determine the amount of books he has. The amount of books and pencils Ashley and James have are proportional.
How many books does James have? Show your work using mathematics.
Answers
Answer:
8 books
Step-by-step explanation:
First you need to find the ratio between 6 and 9
6/9 = 2/3
The ratio is 2/3
Now for James's case his denominator would be 12
x/12
To find the numerator you need to multiply the denominator by 2/3
12 * 2/3 = 8
There you go, the numerator is your answer
8 books and 12 pencils
Hope this helps :)
Consider the line with equation y=-2x + 2.
Can you write the equation of a line through
point (3,-4) that is perpendicular to the given line?
Answers
Answer:
[tex]m_{1} \times \frac{1}{m_{2}} = - 1 \\ m_{2} = \frac{1}{2} \\ \frac{1}{2} = \frac{y + 4}{x - 3} \\ 2y + 8 = x - 3 \\ 2y = x - 3 - 8 \\ 2y = x - 11 \\ y = \frac{1}{2} x - \frac{11}{2} [/tex]
Which of the following is TRUE?
1 point
A.√0 = ± 0
B.√36 = ± 6
C.√-25 = 5
D.√48 = 7
Answers
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
The Correct choice is :
[tex] \sqrt{36} = \pm6[/tex]Tupac bought a new video game. While he learned how to play, he played 5 games and had a
combined score of -325 points. Write and find the value of an expression for the average number
of points he lost in the first 5 games.
Answers
helpppppppppppppppppppppppppppppp meeeeeeeeeeeeeeeeeee plsssssssssssssssssssssss there is more but plss help mee
Answers
D=7 so 5(7)+120 is 155
25: D (2,6)
(X,y) if you plug in the 2 and 6 the equations make sense
26: A (4,1)
Same as 25
27; b, 2x+y=2 and 4x - y=3
The x value and y value have the same value in both equations
Answer:
x + y =5 .......eqn (1)
x - y =3 .......eqn(2)
using substitution method
x + y = 5
-
x - y = 3
0 + 2y=2
y = 2/2
y = 1
substitute y in egn(1)
x + 1 = 5
x = 5-1
x = 4
then (x, y) = (4,1)
Using a set of numbers find the mean round to the nearest tenth median mode and range 8,6,3,7,1,6,5,6
Answers
Explanation : the median is 6 because this is the very middle number
The mode is 6 because it is the number that occurs most
And the range is 7 because the largest number is 8 and the smallest is 1 , and 8-1= 7
Angles that lie on the same side of the
transversal and on the same side of the parallel Ines. These engles are in
the same "corner and are congruent
Answers
Corresponding angles have the same measure and contain an interior
exterior angle on the same side of the transversal.
If each block sides are 1 cm long, what is the volume of this object?
Answers
4 cubic centimeters.
Brainliest would be great. Comment below if it helped!
Answer:
The volume for this object is 4.
Step-by-step explanation:
For each block, we need to multiply using the volume formula which is
Length x Width x Height
So, if the side lengths for all these blocks are 1. That means we would do 1x1x1 for every block. Since there are 4 blocks that means our equation for the whole object would be 1+1+1+1 or simply 1x4. And we all know the answer to our equation 1 x 4 is 4.
, Hope this helps :)
Have a great day!!
Please help. I don't know what I did wrong. I need help with #18. Below me is an image of the #18.
Answers
Answer:
m = -12
Step-by-step explanation:
everything is ok til the 3rd equation line
-15m - 30 = -12m + 6
-30 - 6 = -12m + 15m
-36 = +3m
-36/3 = m--------> 3 x -12 = - 36
-12 = m
A pitcher contains 4.5 pints of iced tea. How many fluid ounces of iced tea are in the pitcher?
Answers
Hope this helps!
what is
[tex]8x10 {}^{6} [/tex]
what is the equal to
Answers
Can anyone answer with an explanation?
Answers
Answer:
x=0.136
Step-by-step explanation:
4x^3-6x^2+16x-6=0
64x-36x+16x-6=0
28x+16x-6=0
44x-6=0
+6 +6
44x= -6
/44 /44
x=0.136
50 = -1/3b + 20
What is b?
Answers
3/5 + 1/6 - 2/3 plz help me................
Answers
Answer:
1/10
Step-by-step explanation:
Check various online stuff for the steps
Answer:
[tex]\frac{1}{10}[/tex]
Step-by-step explanation:
[tex]\frac{3}{5} +\frac{1}{6} =\frac{3*6}{5*6} +\frac{1*5}{6*5} =\frac{18}{30} +\frac{5}{30} =\frac{18+5}{30} =\frac{23}{30}[/tex]
For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(5, 6) = 30. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 5 × 6 = 30. In the next intermediate step, the fraction result cannot be further simplified by canceling.
In words - three fifths plus one sixth = twenty-three thirtieths.
Subtract: [tex]\frac{2}{3} =\frac{23}{30} -\frac{2}{3} =\frac{23}{30}-\frac{2*10}{3*10} =\frac{23}{30}-\frac{20}{30}=\frac{23-20}{30} =\frac{3}{30} =\frac{3*1}{3*10} =\frac{1}{10}[/tex]
For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(30, 3) = 30. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 30 × 3 = 90. In the next intermediate step, , cancel by a common factor of 3 gives [tex]\frac{1}{10}[/tex]
In words - twenty-three thirtieths minus two thirds = one tenth.
find midpoint of (7,-3) and (15,-8)
Answers
Answer:
{0.5(7+15),0.5(-3-8)}
Step-by-step explanation:
(0.5(sum of x values),0.5(sum of y values))