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
HELPPPPPPPPPPPP MEHHHHHHHHHHHHHHHHHHHHHHHHH PLZZZZZZZZZZZZZZZZ GRADES GO OUT TOMMORROW AND I NEED THIS SO I CAN GET MY GRADE UP FROM A D+ PLZZZZZZZZ MY PARENTS WILL MURDER ME
Answers
Answer:
Call child abuse
Step-by-step explanation:
so you dont die kid
Answer:
2,3
4,3
3,3
4,5
5,4
6,7
8,8
8,9
The museum decided to showcase an amazing collection of glass figurines in 9 different rooms. The director of the exhibit plans to place the same number of figurines in the each room. What fraction of the collection will appear in 7 of the rooms?
Answers
Let there are x glass figurinesin room. as museum decided to showcase in total 9 different room as total number of glass figurines are:
[tex]9 \times x = 9x[/tex]
Determine the number of glass figurines in 7 rooms.
[tex]7 \times x = 7x[/tex]
The total collections is of 9x glass figurines.
In 7 rooms the collections appear is 7x.
Determine the fraction of collection that will appear in 7 rooms.
[tex] \frac{7x}{9x} = \frac{7}{9} [/tex]
So, the answer is 7/9.
Taking As x
_________
9 different room as total number of glass figurines are:
[tex]9 \times x = 9x[/tex]
The number of glass figurines in 7 rooms
[tex]7 \times x = 7x[/tex]
_________________
Total Collection Of 9 glasses figurines= 9x
7 room collection = 7x
_________________
Fraction of collection of 7 rooms by 9 glasses figurines
[tex] \huge \frac{7x}{9x} \\ \\ \\ \\ \huge = \frac{7}{9} [/tex]
So the fraction is [tex] \frac{7}{9}[/tex]
Hope This Helps You ❤️I need help with this ASAP. Can you tell me what goes in what box.
Answers
Answer:
answers
Step-by-step explanation:
2 and 3rd
find the missing angle measure
m<s=
m<u=
Answers
Answer and Step-by-step explanation:
The interior angles of a triangle a add up to 180. We can find x by subtracting everything from 180, and then divide for x.
180 = x + 4 + 68 + x
Simplify.
180 = 2x + 72
Subtract 72 from both sides of the equation.
108 = 2x
Divide each side by 2.
x = 54
The angles of the triangle are:
Angle S = 54
Angle U = 58
Angle T = 68
#teamtrees #PAW (Plant And Water)
Please help with this math problem!
Answers
This is an angle relationship problem
Answers
Answer:
7
Step-by-step explanation:
8c-5+6c-3=90
14c=90+5+3
14c=98
c=7
Find the value of y,
96
66
Answers
Answer:
the answer is y=48
Step-by-step explanation:
you divide the arc by 2 if it's an inscribed angle
Answer: 48
Step-by-step explanation: 96/2
A right triangle has a hypotenuse of 15 cm. What are possible lengths for the two legs of the
triangle? Explain your reasoning.
Answers
Answer:5 and 3
Step-by-step explanation:
you can multiply 5x3 to get 15
Harrison is having a tub of yoghurt for a snack. The tub weighs 30g and holds 120ml, so he says that his snack (the tub and yoghurt together ) weighs 150g. Can you please explain why his mistake is mistaken please?
Answers
Step-by-step explanation:
Given
Tub weighs 30 g and can hold 120 ml yogurt
It is not right to simply write the ml to gm unless it is case of water
mass is given by product of volume with density
So, density of yogurt is different than water. It is not appropriate to write 120 ml to 120 gm
Thus, the claim of Harrison is wrong that his snack weighs 150 gm.
Melissa is stacking storage cubes in a crate the bottom of the crate is 12 inches x 12 inches. the volume of the crate is 1728 cubic units. if a storage crate s a length of 4 inches how many storage cubes will fit in the crate
Answers
If a quadrilateral is a square, then it is also a rectangle.
True or False
Answers
Answer:
i think is true because quad means 4 and a rectangle has 4 sides soooo i think i am right
Diego is selling raffle tickets for $1.75 per ticket.
Complete the table to show how much money he would earn if he sold each number of tickets.
Answers
Answer:
1.75(x)
Step-by-step explanation:
you can make an algebraic expression to make this simpler. if x = the number of tickets. then, you want to create the expression. it will be .... 1.75(x).
you plug whatever number you need for the table in as x. for example, if you want to see how much money diego would make for 6 tickets you write 1.75*6
PLEASE HELP ME ASAP
Answers
Answer:
Look below
Step-by-step explanation:
(a)
The Pythagorean Theorem is a^2+b^2=c^2. In this case. a=10, b=y, and c=2+y.
So, [tex](2+y)^{2}=10^{2}+y^{2}[/tex].
(b)
Using the equation (2+y)^2=10^2+y^2, solve for y.
(2+y)^2=10^2+y^2Square it, 4+4y+y^2=100+y^2Subtract y^2, 4+4y=100Subtract 4, 4y=96Divide by 4, [tex]y=24[/tex].Write the square roots of 49 i in ascending order of the angle.
Answers
Answer:
The square roots of 49·i in ascending order are;
1) -7·(cos(45°) + i·sin(45°))
2) 7·(cos(45°) + i·sin(45°))
Step-by-step explanation:
The square root of complex numbers 49·i is found as follows;
x + y·i = r·(cosθ + i·sinθ)
Where;
r = √(x² + y²)
θ = arctan(y/x)
Therefore;
49·i = 0 + 49·i
Therefore, we have;
r = √(0² + 49²) = 49
θ = arctan(49/0) → 90°
Therefore, we have;
49·i = 49·(cos(90°) + i·sin(90°)
By De Moivre's formula, we have;
[tex]r \cdot (cos(\theta) + i \cdot sin(\theta) )^{\dfrac{1}{2}} = \pm \sqrt{r} \cdot \left (cos\left (\dfrac{\theta}{2} \right ) + i \cdot sin\left (\dfrac{\theta}{2} \right ) \right )[/tex]
Therefore;
√(49·i) = √(49·(cos(90°) + i·sin(90°)) = ± √49·(cos(90°/2) + i·sin(90°/2))
∴ √(49·i) = ± √49·(cos(90°/2) + i·sin(90°/2)) = ± 7·(cos(45°) + i·sin(45°))
√(49·i) = ± 7·(cos(45°) + i·sin(45°))
The square roots of 49·i in ascending order are;
√(49·i) = - 7·(cos(45°) + i·sin(45°)) and 7·(cos(45°) + i·sin(45°))
Mrs. Valdez created a scatter plot that showed the number of days a student was absent compared to the student's grade average in class.
Answers
Answer:
I believe it's the last one... "The association is linear based on the overall pattern"
Given f(x) = 1/3(4 – x)^2 ,
what is the value of f(16)?
Answers
Answer:
48
Step-by-step explanation:
Plug in 16 to the function:
f(16)=1/3(4-16)^2
=1/3(-12)^2
=144(1/3)
=48
Will give brain-list
Omar has a bag that contains pineapple chews, cherry chews, and peach chews. He performs an experiment. Omar randomly removes a chew from the bag, records the result, and returns the chew to the bag. Omar performs the experiment 51 times. The results are shown below:
A pineapple chew was selected 11 times.
A cherry chew was selected 28 times.
A peach chew was selected 12 times.
Based on these results, express the probability that the next chew Omar removes from the bag will be cherry chew as a fraction in simplest form.
Answers
Cherry was picked the most which was 28 times out of 51
The probability of picking cherry is 28/51
PLEASE HELPPP ME!!!!
don’t put the link/ file things it gives me ur info and then i can hack;)
Answers
Answer:
it will go up as all the groups will be removed from lower side reducing it's weights
Sophie's current balance in her checking account is $125.89. What is the final balance after the above transactions were completed?
$
Answers
Answer:
i cant give you a step by step answer but all you do is subtract
Step-by-step explanation:
The sum of the ages of my 3 children is 45 years.
If their ages are consecutive odd integers,
how many years old is my oldest child?
A) 17
B)19
C) 21
D) 23
Answers
A restaurant sells 96 breakfast meals a day. If
75% of the breakfast meals are pancakes, how
many orders of pancakes does the restaurant
sell each day?
Answers
Answer:
72 pancakes
Step-by-step explanation:
The question basically asks you to:
Find 75% of 96
We can do this, by competing:
[tex]\frac{75}{100}[/tex] x 96 = [tex]\frac{3}{4}[/tex] x 96 = 3 x 24 = 72
Hope this helps.
What is the common ratio of the sequence?
-2, 6, -18, 54
Answers
Answer:
The common ratio of the sequence is -3
Step-by-step explanation:
The reason why the answer is -3 because every single number is multiplied by -3. If you need an explanation on how I found it, here it is:
To determine the common ratio by dividing each number in the sequence from the number preceding it. If the same number is not multiplied to each number in the series, then there is no common ratio.
Graph the equations to solve the system.
y = 2x - 6
y = -x-3
Click on the correct answer.
no solution: 0
solutions, all
numbers on the line
one solution: {0,-3)
one solution: (1.-4)
Answers
Answer:
one solution: (1.-4)
Step-by-step explanation:
y = 2x - 6...... (1)
y = -x-3......(2)
Plug y = -x-3 in equation (1)
2x - 6 = - x - 3
2x + x = 6 - 3
3x = 3
x = 3/3
x = 1
Plug x = 1 in equation (2)
y = - 1 - 3
y = - 4
(x, y) = (1, - 4)
What is the area of a rectangle that is 1 1 4 1 4 1 1, start fraction, 1, divided by, 4, end fraction meters long and 3 4 4 3 start fraction, 3, divided by, 4, end fraction of a meter wide?
Answers
Answer:
4 11/16 m²
Step-by-step explanation:
The formula for the area of a rectangle = Length × Width
From the question:
Length = 1 1/4 m
Width = 3 3/4m
Area of the rectangle =
1 1/4 m × 3 3/4 m
= 5/4 m × 15/4 m
= 75/16 m²
= 4 11/16 m²
Area of the rectangle = 4 11/16 m²
help and explain please
Answers
Answer:
36/90 = .4
.4 x 100 = 40
So 36 is 40 percent of 90
(S/P = .4 x 100 = 40)
2. Taxes
Erik states that the two cones below have the same volume because of Cavalieri’s principle. 2 cones are shown. The first cone has a radius of r, a slant length of c, and a height of b. The second cone has a radius of r, a height of a, and a slant length of b. Is Erik’s statement correct? Why or why not? Yes, the solids are both cones and appear to have the same volumes. Yes, the area of the bases and the heights of the cones are the same, so the volumes are equal. No, the heights of the cones are not the same, so Cavalieri’s principle does not apply.
Answers
Answer:
D. No, the heights of the cones are not the same, so Cavalieri’s principle does not apply.
Step-by-step explanation:
Correct on Edge.
Answer:
The person above me is correct but the option is C.
Write the equation of the line that passes through (5.-9) and (2.5).
Answers
Answer:
y = -14/3x + 43/3
Step-by-step explanation:
y2 - y1 / x2 - x1
5 - (-9) / 2 - 5
14 / -3
- 14/3
y = -14/3x + b
5 = -14/3(2) + b
5 = -28/3 + b
43/3 = b
y = -14/3x + 43/3
1. If a basketball player makes 9 baskets in 12 tries, what is her ratio of baskets to tries, in lowest terms?
2. At the next game, the player has the same ratio of baskets to tries. If she tries 20 times, how many baskets should she make?
3. At the third game, she still has the same ratio of baskets to tries, This time she makes 12 baskets. How many times did she probably try?
Answers
Answer:
1. 3:4
Step-by-step explanation:
The ratio of baskets to tries is 3/4, 15 basket was made in 20 tries and 12 basket in 16 tries
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
1) . If a basketball player makes 9 baskets in 12 tries, hence:
Ratio of baskets to tries = 9/12 = 3/4
2) For 20 tries:
Number of basket = (3/4) * 20 = 15
3) For 12 basket:
Number of tries = 12 / (3/4) = 16
The ratio of baskets to tries is 3/4, 15 basket was made in 20 tries and 12 basket in 16 tries
Find out more on equation at: https://brainly.com/question/2972832
Write the number in 2 equivalent forms as a fraction, decimal, or percent.
9/9
What is the equivalent decimal?
Answers
Answer:
fraction- 9/9=1
decimal- 1.0
percent- 100%
Step-by-step explanation:
for brainiest:):):):):):):):)
Answers
Answer:
Step-by-step explanation:
original price = 20