Which similarity statements are true? Check all that
apply.
AJKL - AKML
AJKM – AJKL
ΔJKM - ΔKML
Ο ΔJMK - ΔJKL
Ο ΔJMK - ΔKML
Answers
Answer:A, D, E
Step-by-step explanation:
ΔJKL and ΔJKM are similar triangles and ΔJKL and ΔKML are similar triangles. Therefore, options A and B are the correct answers.
What are similar triangles?Two triangles are similar if the angles are the same size or the corresponding sides are in the same ratio. Either of these conditions will prove two triangles are similar.
From the given figure, ΔJKL, ΔJKM and ΔKML are right angle triangles.
Now, consider ΔJKL and ΔJKM
∠JMK=∠JKL (Measure of angle is equal to 90°)
∠KJM=∠KJL (Reflexive property)
ΔJKL and ΔJKM are similar triangles
Consider ΔJKL and ΔKML
∠KML=∠JKL (Measure of angle is equal to 90°)
∠JLK=∠MLK (Reflexive property)
ΔJKL and ΔKML are similar triangles
Therefore, options A and B are the correct answers.
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Related Questions
can someone please help me with this thank you. Factor completely 64x2 – 49. (1 point) 0 (7x – 8)(7x + 8) O (7x – 8)(7x – 8) O (8x – 7)(8x - 7) O (8x - 7)(8x + 7)
Answers
Explanation:
64x^2 - 49
= (8x)^2 - 7^2
= (8x - 7)(8x + 7)
Answer:
(8x-7)(8x+7)
Step-by-step explanation:
64x²-49
(8x)²-7²
(8x+7)(8x-7) (using a²-b²=(a+b)(a-b)
Or
(8x-7)(8+7)
3(-5)(-1)(-2) evaluate please thank you :D
Answers
Answer:
-30
Step-by-step explanation:
Answer:
the answer is -30
Step-by-step explanation:
this just means to multiple from left to right
Can someone help me!!
Answers
Answer:
$642
Step-by-step explanation:
To calculate sales tax, you multiply the percentage by the price. In this case it would be 600 x 0.07 which is 42. Then you add them together which would be 600 plus 42 which equals 642.
Measure 4 gallons of water using a 3 gallon jar and a 5 gallon jar
Answers
Answer
Fill the 5 gallon jug.
Pour the 5 gallon jug into the 3 gallon jug.
Empty the 3 gallon jug and pour the remaining 2 gallons in the 3 gallon jug.
Fill the 5 gallon jug and pour 1 gallon into the 3 gallon jug (remember it will only take one gallon)
Viola the remaining 5 gallon jug will have exactly 4 gallons remaining.
Answer:
use 4/5 of the 5 gallon jar or 1 and 1/3 of the 3 gallon jar
Step-by-step explanation:
make sure to write the (#,#)
Answers
Answer:
Oh, it's (-1,-1)
Once you graph both lines, you find the point of intersection and they both intersect at point (-1,-1)
If you have any more questions let me know! :)
Step-by-step explanation:
The answer is in the image.
The table below shows the amount of flour needed for each recipe. Sort the list below from
greatest to least amount of flour needed per serving.
Cups of Flour
Serving Size
Recipe A
1
Recipe B
Recipe C
를
Recipe D
1 2 3 를
Recipe A, Recipe B, Recipe C, Recipe D
Answers
Answer:
d,c,b,a
Step-by-step explanation:
*BRAINLIEST BRAINLIEST BRAINLIEST BRAINLIEST**
Determine whether or not each expression below is a perfect square. Explain why the expression is or is not a perfect square. If it is not a perfect square, find the perfect square that seems “closest” to the given expression and show how the perfect square can be adjusted to be the given expression.
1. A(x)=x^2+6x+13
2. A(x)=2x^2+8x+14
Answers
Step-by-step explanation:
These aren't a perfect square bec. 1 st and 3rd terms must be perfect square
A(X) = X^2+6X +13 be perfect square if 13 Changed to 9
= X ^2+6X +9
A(x)= 2X^2+8X +14 be perfect square
= 4X ^2+ 8X + 16
Decomposers _______
O add nutrients to the soil
O feed on dead animals
o include bacteria
all of the above
Answers
Answer:
All the above
Step-by-step explanation:
all of the following are true
The length of a rectangle is twice its width, while the
perimeter of the rectangle is 36 units. . Which system of
equations can be used to find the length ( and the width w
of the rectangle?
Answers
Answer: Length = 12 units
Width = 6 units
Step-by-step explanation:
Let the width of the rectangle be represented by x.
Since the length of a rectangle is twice its width, thus means that the length will be: = 2x
Perimeter of a rectangle = 2(l + w)
where,
L = length
W = width
Therefore,
Perimeter = 2(l + b)
36 = 2(2x + x)
36 = 2(3x)
36 = 6x
x = 36/6
x = 6
Width = 6 units
Length = 2 × Width = 2 × 6 = 12 units
suppose a+b=10 and the value of a increases by 1. If the sum remains the same, what must happen to the value of b?
Answers
Answer:
[tex]b[/tex] decreases by [tex]1[/tex]
Step-by-step explanation:
If the value of [tex]a[/tex] increases by [tex]1[/tex] and the sum remains the same, then the value of [tex]b[/tex] decreases by [tex]1[/tex].
Example:
Suppose [tex]a=7[/tex] and [tex]b=3[/tex].
[tex]a+b = 10[/tex]
[tex]b = 10-a[/tex] (minus [tex]a[/tex] on both sides)
Now, let [tex]a = 8[/tex] ([tex]a[/tex] has increased by [tex]1[/tex]):
[tex]b = 10-8[/tex]
[tex]=2[/tex]
From the comparison of the previous value of [tex]b[/tex] to the current value of [tex]b[/tex], the value of [tex]b[/tex] has decreased by [tex]1[/tex].
Hope this helps :)
But like hooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooowwwwwwwwwwwwww im stupid how plz someone!!!!!!!!!!!!!!!!!!!!!!!!!!3/4g=−12
Answers
Answer:
with what
Step-by-step explanation:
The table shows the number of diagonals that can be drawn from one vertex in polygon. Write an equation in function notation for the relation and find the number of diagonals that can be drawn from vertex in a 12-sided polygon.
Answers
Answer:
y = x - 3; 9 diagonals
Step-by-step explanation:
Find the equation: y = x - 3
Plug in 12: y = 12 -3
Solve: y = 9
9 diagonals
Hope this helps! Plz mark brainliest
The equation of function notation for the relation will be,
⇒ y = x - 3
What is Equation of line?
The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
Table is shown in figure.
Two points on the table are (3, 0) and (4, 1).
Now,
Since, The equation of function passes through the points,
(3, 0) and (4, 1).
So, We need to find the slope of the function.
Hence, Slope of the line is,
m = (y₂ - y₁) / (x₂ - x₁)
m = (1 - 0) / (4 - 3)
m = 1
Thus, The equation of function with slope 1 is,
⇒ y - 0 = 1 (x - 3)
⇒ y = x - 3
⇒ y = x - 3
Thus, The equation of function notation for the relation will be,
⇒ y = x - 3
Learn more about the equation of line visit:
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2a^2-12a + 18, please try to explain or show how you got it...thank you :))
Answers
Answer:
35 is your answer!!
Step-by-step explanation:
have a good day <3
What is the value of x in the equation 8+4 = 2(x-1)?
A. 5
B. 11/2
C. 13/2
D. 7
Answers
Answer:
D. 7
Step-by-step explanation:
brainiest plz
12=2x-2
2x=14
X=14/2
X=7
A toy company decreased the size of its dominoes container by 25%. If the old containers held 136 dominoes, how many dominoes do the new container hold?
Answers
Answer: 102
Step-by-step explanation:
Answer:
The new container holds 102 dominoes.
Step-by-step explanation:
136 x 25% =34
136-34 = 102
Javier simplified the expression below. Find and
describe the three mistakes he made.
20x
- (203) = (5x®]* _ 5x * to
(5x®)» (20x)} – 20.x* *4
Answers
Answer:
Step-by-step explanation:
Javier did not raise the coefficients to the third power
When Javier raised [tex]x[/tex] to the third power, he wrote that [tex](x^1)^3=x^4[/tex], but it equals [tex]x^3[/tex].
In the last step, Javier divided the exponents. He should have used the quotient of powers property and subtracted them.
Tell whether each function is linear or nonlinear. Use the drop-down menus to show your answer.
Answers
explanation: for function a, y is increasing at a non linear rate (not consistent)
In exercises 41 - 43, AB ⊥ BC. Find the value of x.
Answers
That means angle ABC is right or 90 degrees.
To solve for x, subtract 68 degrees from 90 degrees.
x = 24 degrees.
for a circle with the given circumference, c, fund the diameter of the circle. Round to the nearest whole number
C=44 in
Answers
Answer:14
Step-by-step explanation:
44/3.14(pie)=14.01
Mark and his friends order two pizzas of the same size .•The first pizza is cut into 6 slices of equal size .•The second pizza is cut into 4 slices of equal size. Each person plans to take 2 slices of pizza. Mark concludes that he would get more pizza by taking 1 slice from each pizza, instead of 2 slices from the first pizza. Explain why Mark is correct. Be sure to include a number comparison by using > or < in you explanation.
Answers
Mark is correct because taking a slice from each pizza would be 3/6 or 1/2 of the pizza but taking two slices of the first pizza, Mark wouldn't get as much because that is the same as 2/6 or 1/3 of the pizza. 1/2 > 1/3 therefore Marks conclusion is correct.
Find the midpoint of the line segment with the given endpoints.
(-10,-4), (6,-5)
Answers
-10+6 = -4/2 = -2
-4 - 5 = -9/2 = -4.5
Solution: (-2, -4,5)
can some one help me on this and thank u
Answers
Answer:
2<x<3
Step-by-step explanation:
the first one
7x-2+4x+5x-10=180
what is the measure of 4x
Answers
Answer:
1) 7x-2+5x-10=180
2)16x-2-10=180
3)16x - 12 = 180
16x=192
x=12
(4x5) x3 = 4x (5x3) What property does this show?
Answers
Answer:
distributive
Step-by-step explanation:
Answer:
Step-by-step explanation:
4x5x7x8x2÷8=?
PLS HELPP ME , ILL GIVE BRAINLIEST IF ITS A REAL ANSWER PLS
Answers
Answer:
For the chart, the missing number on top is 10. the bottom numbers are 1.5 then 9.
For the question, all of the numbers equal the ration 5:3.
Question 2: Yes. 30/x=2/4 which equals 60 (minutes) which is an hour.
Step-by-step explanation:
1A:
2.5 amount of water - 1.5 amount of pasta
10 amount water - 6 amount pasta
15 amount water - 9 amount pasta
2.5 : 1.5
5 : 3
10 : 6
15 : 9
1B. these quantities are proportional because they can all be simplified to the same unit rate of 5 : 3.
2. Johnny is correct. The rate is 4 : 2, with a unit rate of 2 : 1. If you multiply both sides by 30 (how many inches deep the hot tub is) you get a ratio of 60 : 30, meaning it would take an hour to fill up the tub.
help for brainliest plsssssssssssss
Answers
Answer:
2,472 / 2 = 1,236
Tyler and Han are trying to solve this system by substitution: x+3y=-5 9x+3y=3 Tyler's first step is to isolate x in the first equation to get x=-5-3y. Han's first step is to isolate 3y in the first equation to get 3y=-5-x. Show that both first steps can be used to solve the system and will yield the same solution.
Answers
Answer:
Yes, they can both be solved and get the same answer.
Step-by-step explanation:
Tyler's way:
Since Tyler solved first by isolating x, resulting in x=-5-3y, he can then go and look at the second equation and solve for y there. In the second equation you're going to want to subtract 9x from the right side and left side to then get 3y=3-9x. Now you're going to divide by 3 on both sides to isolate y. You'll get y=1-3x. Now we know what y equals. Plug that back into the first equation and you'll get x=-5-3(1-3x). Use the distributive property to simplify that and you'll get x=-5-3+9x. That simplified is x=-8+9x. Add 8 on both sides and you'll get 8+x=9x. Subtract x from the both sides and you'll get 8=8x. Divide by 8 on both sides and you'll get the final answer: 1=x, or x=1.
Han's way:
Since Han solved first by isolating 3y, resulting in 3y=-5-x, he can then go and look at the second equation and solve for y there. In the second equation you're going to want to subtract 9x from the right side and left side to then get 3y=3-9x. Now you're going to divide by 3 on both sides to isolate y. You'll get y=1-3x. Now we know what y equals. Plug that back into the first equation and you'll get 3(1-3x)=-5-x. Use the distributive property to simplify that and you'll get 3-9x=-5-x. Add 9x to both sides and you'll get 3=-5+8x. Add 5 to both sides to isolate 8x and you'll get 8=8x. Divide by 8 on both sides and you'll get the final answer: 1=x, or x=1.
Determine if both first steps can be used to solve the system and will yield the same solution
Both Tyler and Han's first step can be used to solve the system and will yield the same solution
Given:
x + 3y = -5
x + 3y = -5 9x + 3y = 3
Tyler
isolate x in the first equation to get
x = -5 - 3y
substitute into second equation
9x + 3y = 3
9( -5 - 3y) + 3y = 3
-45 - 27y + 3y = 3
- 24y = 3 + 45
-24y = 48
y = 48/-24
y = -2
Recall,
x = -5 - 3y
= -5 - 3(-2)
= -5 + 6
x = 1
Han:
isolate 3y in the first equation to get
3y = - 5 - x
substitute into second equation
9x + 3y = 3
9x + (-5 - x) = 3
9x -5 - x = 3
8x = 3 + 5
8x = 8
x = 1
Recall,
3y = - 5 - x
3y = -5 - (1)
3y = -5 - 1
3y = - 6
y = -2
Therefore, both first steps can be used to solve the system and will yield the same solution.
Read more:
https://brainly.com/question/15165519
Determine if both first steps can be used to solve the system and will yield the same solution
Both Tyler and Han's first step can be used to solve the system and will yield the same solution
Given:
x + 3y = -5
x + 3y = -5 9x + 3y = 3
Tyler
isolate x in the first equation to get
x = -5 - 3y
substitute into second equation
9x + 3y = 3
9( -5 - 3y) + 3y = 3
-45 - 27y + 3y = 3
- 24y = 3 + 45
-24y = 48
y = 48/-24
y = -2
Recall,
x = -5 - 3y
= -5 - 3(-2)
= -5 + 6
x = 1
Han:
isolate 3y in the first equation to get
3y = - 5 - x
substitute into second equation
9x + 3y = 3
9x + (-5 - x) = 3
9x -5 - x = 3
8x = 3 + 5
8x = 8
x = 1
Recall,
3y = - 5 - x
3y = -5 - (1)
3y = -5 - 1
3y = - 6
y = -2
Therefore, both first steps can be used to solve the system and will yield the same solution.
Read more:
https://brainly.com/question/15165519
Help! Help help help help help help
Answers
Answer:
(0,1)
Step-by-step explanation:
The zero of a function is where the answer is zero, so x=0 there. There's one point on this graph that has a point where x=0, and that is at y=1. Hope this helped :)
Is the relation a function?
Answers
Answer:
No it is not because of the 3 it is repeating and it is not a function
Step-by-step explanation:
A quantity with an initial value of 970 grows exponentially at a rate of 3.5% every 3 weeks. What is the value of the quantity after 49 days, to the nearest hundredth?
Answers
Answer:
≈1051.07
Step-by-step explanation:
Answer: 1091.8
Step-by-step explanation:
if you need the equations to go with it it SHOULD be
f(x) = 970(1+0.052) ^ 21/49
