Triangle X has m2A = 30°, mZB = 90°, and m2C = 60° with side lengths of AB = 3, BC = 4, AC = 5.
Triangle Y has m2A = 30°, mZB = 90°, and mZC = 60' with side lengths of AB = 9, BC = 12, AC = 15.
Which statement best describes the relationship between these two triangles?
O They are similar triangles.
O They are similar and congruent triangles.
O They are congruent triangles.
O They are congruent but not similar triangles.
Answer:
O They are similar triangles.
Step-by-step explanation:
Given
Triangle X
[tex]\angle A = 30[/tex]°, [tex]\angle B = 90[/tex]°, [tex]\angle C = 60[/tex]°
[tex]AB = 3,\ BC = 4,\ AC = 5.[/tex]
Triangle Y
[tex]\angle A = 30[/tex]°, [tex]\angle B = 90[/tex]°, [tex]\angle C = 60[/tex]°
[tex]AB = 9,\ BC = 12,\ AC = 15.[/tex]
Required
The relationship between X and Y
From the given parameters, the corresponding angles of both triangles are equal i.e.
A = A, B = B and C = C
However, the side lengths are not equal.
The side lengths of Y is 3 multiplied by the side lengths of X.
This is shown below:
Triangle X
[tex]AB = 3,\ BC = 4,\ AC = 5.[/tex]
Multiply by 2 to get Triangle Y
[tex]AB= 3 * 3 = 9[/tex]
[tex]BC= 4 * 3 = 12[/tex]
[tex]AC = 5 * 3 = 15[/tex]
Since side lengths are not equal, but they have a common ratio of 3, then the triangles are similar.
PLEASE HELPPPP
You need to seed a 4,000 feet area. If an 8 lb bag of seed that costs $10.79 covers 1,200 square feet, how much will the seed cost?
The model represents the factorization of 2x2+5x+3.
What are the factors of the polynomial?
Answer:
(2x+3)(x+1)
Step-by-step explanation:
What is 4 superscript 5 written in expanded form?
4 + 4 + 4 + 4 + 4
4 times 4 times 4 times 4 times 4
5 + 5 + 5 + 5
5 times 5 times 5 times 5
Answer:
4 times 4 times 4 times 4 times 4
Step-by-step explanation:
4 is the base number and you have to times the base number 5 times
Answer:
The person above me ^^ Is correct! The answer is B :) GL!!!
Step-by-step explanation:
The paperweight is shaped like a square pyramid. The volume of the pyramid is 48 in. If the area of the base is 36 in?, what is the height of the pyramid?
Given:
Volume of a square base pyramid = 48 cubic inches.
Area of base = 36 sq. inches.
To find:
The height of the pyramid.
Solution:
Volume of a pyramid is
[tex]V=\dfrac{1}{3}Bh[/tex]
Where, B is the base area and h is the height of the pyramid.
Putting V=48 and B=36, we get
[tex]48=\dfrac{1}{3}(36)h[/tex]
[tex]48=12h[/tex]
[tex]\dfrac{48}{12}=h[/tex]
[tex]4=h[/tex]
Therefore, the height of the pyramid is 4 inches.
(15 points!!) Valerie is making fruit salad using strawberries and melons. The ratio of strawberries to melons is 3:4. If Valerie makes 14 cups of fruit for a party, how many cups of strawberries does she use?
The ratio shows how many times one value is contained in another value.
The number of cups of strawberries Valerie used is 6 cups.
What is a ratio?The ratio shows how many times one value is contained in another value.
Example:
There are 3 apples and 2 oranges in a basket.
The ratio of apples to oranges is 3:2 or 3/2.
We have,
The ratio of strawberries to melons is 3:4.
Let us consider,
Strawberries = 3x
Melons = 4x
Now,
A total of 14 cups of fruit were made.
This means,
14 = 3x + 4x
14 = 7x
x = 2
Now,
The number of cups of strawberries is 3x.
3x = 3 x 2 = 6 cups
The number of cups of melons is 4x.
4x = 4 x 2 = 8 cups.
We see that,
6 cups + 8 cups = 14 cups.
Thus,
The number of cups of strawberries Valerie used is 6 cups.
Learn more about ratios here:
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Please help with these 2 math problems. ( Multiple choice) im begging. Please don't just do it for points I really need help
This is the whole picture can someone help??
Step-by-step explanation:
I can't see good the picture
Is (5,0) a solution of the graphed inequality?
Answer:
Yes
Step-by-step explanation:
5,0 is a solution to the graphed inequality as it lies on the edge of the shaded area. Because the line is solid rather than dotted/dashed this means that all answers on the line will be included in the solutions. This is a graph for an inequality with one of these symbols ≤ ≥.
please please please help i am desperate
‼️WILL MARK BRAINLIEST‼️
20 POINTS
1. Find the distance from Alanah's house to Mia's house. Show your work.
2. What is the distance from Mia's house to Teresa's house? Explain how you found this distance.
3. Find the distance from Teresa's house to the arena. Show your work.
4. What is the total distance of Alanah's trip to the arena?
Mia's house is located at point (3, 2) on a coordinate plane. I don't know 2,3,4. :(
Which fraction are equivalent to 4/9
Answer:
4/9 8/18 36/81
Step-by-step explanation:
<(￣︶￣)>
which shape is not a trapezoid
Answer:
trapezium
If the shape you're looking at doesn't have at least one set of parallel sides, it's not a trapezoid; it's something called a trapezium instead. Similarly, if the shape has two sets of parallel sides, it's not a trapezoid. It's either a rectangle, a parallelogram shape or a rhombus.
Step-by-step explanation:
Mindy is playing a game. She notices that the ratio of red tokens to purple tokens is 2 to 3. She counts 6 red tokens. what can be the number of purple tokens.
Answer:
6
Step-by-step explanation:
double numbers for ecquivelant ratios (i cant spell)
Yesterday the temperature was 11 degrees Celsius. Today the temperature is O degrees Celsius What is the change in temperature from yesterday to today?
Answer: 11 degrees Celsius
Step-by-step explanation:
Please help me with this
Answer:
90,45,45
Step-by-step explanation:
it a system of equations
say that x y and z are each angles of the triangle
that means that they add up to 180 so x+y+z=180
the question says that two of the angles in the triangle are equal so we can just say that x=y
and it says that the two angles that are the same length have a sum that is equal to the third side of the triangle which basically is x+y=z
x+y+z=180
x+y=z
x=y
we start with the first two equations:
since x+y=z then we can substitute z in for x+y in the first equation
z+z=180
2z=180
z=90
and since x=y then
x+x=z
2x=90
x=45
y=45
z=90
hope that helps :)
Please mark brainliest
2) Christmas is on its way, so the price of a box of Thornton's chocolates has been increased
by 15%!! A box of Thornton's Continental now costs £17.25. How much did it cost
originally?
Help with this most detailed answer gets Brainliest!!!
Answer:
D) 2/3
Step-by-step explanation:
Constant of proportionality formula:
k = y/x
8/12 = 2/3
10/15 = 2/3
12/18 = 2/3
14/21 = 2/3
find the unit rate and show work
289 miles on 10 gallons
Answer:
28.9 miles per gallon
Step-by-step explanation:
unit rate is usually something per something. Like miles per hour. In this case we have mile per gallon. MPG.
Unit rate is basically A number X per 1 of something.
so in this cares X per gallon.
we want 10 gallons to go to 1 gallon. So we divide by 10 to get to 1. But if we divide by 10 on one side, we have to do it to the other side. so 289/10=28.9
so our final answer is:
28.9 miles per gallon
PLEASE HELL ME BECAUSE I DONT UNDERSTAND
Answer:
B. 5/3
Step-by-step explanation:
Take out the fourth root by doing 20/4 = 5. Then take out the third root by doing 5/3 so your answer is 5/3
Answer:
Answer = 5/3
Step-by-step explanation:
We simplify the squareroot to become ((x-5)^20)^1/12. Simplifying this further will get us (x-5)^5/3. We know that "b" is the exponent on (x-5), therefore the answer is 5/3.
Use the diagram to find the missing measures.
The measure of angle GHE is
62
°.
The length of GE is
.
Answer:
62
15
Step-by-step explanation:
sorry i’m a bit late
Answer:62
And 15
Step-by-step explanation:
Yea its good :)
may someone please help? also I hope everyone has been doing amazing
0.45x10=
yuhhhhhhhhhhhhhhhhhhhhhhhhhh
Answer:
i think it is 4.5
i hope it helps
Answer:
4.5
Hope I helped
Help I don’t understand
Answer:
for every 4 strikes thrown, there were 1 balls thrown
PLATO: Multiplying and Dividing Radical Equations: Mastery Test
Select the correct answer.
Assuming that no denominator equals zero, which expression is equivalent to (n^2-7n+12)/(n-3)(n+4)
Answer:
D
Step-by-step explanation:
took the test
The expression is equivalent to (n² - 7n + 12) is (n-4)/ (n+4).
The correct option is D.
What is Expression?Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression's structure is as follows:
Expression: (Math Operator, Number/Variable, Math Operator)
We have,
(n² - 7n + 12) / (n-3)(n+4)
So, Factorizing (n² - 7n + 12)
= (n² -3n - 4n +12)
= n(n-3)- 4(n-3)
= (n-3)(n-4)
Then, (n² - 7n + 12) / (n-3)(n+4)
= (n-3)(n-4)/ (n-3)(n+4)
= (n-4)/ (n+4)
Learn more about Expression here:
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Fill in the blank
One way is solving by graphing which uses the coordinates of the point of as the answers.
Answer:
dont click that link report it
Step-by-step explanation:
▀▄▀▄What is the LCM and GCF of 25 and 75? ▄▀▄▀
Answer:
LCM = 75
GCF = 25
Step-by-step explanation:
25 = 5 x 5
75 = 3 x 5 x 5
LCM = 3 x 5 x 5 = 75
GCF = 5 x 5 = 25
Hope that helps!
Answer: The LCM of 25 & 75 is 75, and the GCF of them is 25
Step-by-step explanation: hope it helps :)
Who is life insurance best suited for?
A. Children
B. People with debt
C.Doctors
D. College students
A hard-boiled egg is removed from a pot of hot water and set on the table to cool. The rate of change of the egg’s temperature T with respect to time t is proportional to the difference between the egg’s temperature in degrees Fahrenheit ( °F) and the room temperature of 75°F. Which of the following is a differential equation that describes this relationship, where k is a constant?
Answer:
dT/dt = k(T-75)
Step-by-step explanation:
dT/dt = the rate of change of the egg's temperature T with respect to time t
k = constant
(T-75) = difference between the egg's temperature and the room temperature 75 degree
The relationship between the temperature of the egg and that of the room is dT/dt = k(T-75).
From the Newton's law of cooling, the rate of cooling of any object depends on the temperature difference between the object and the surroundings. This is usually expressed in a differential equation.
In this particular instant, the differential equation that shows the relationship between the temperature of the egg and that of the room is dT/dt = k(T-75).
Learn more about Newton's law of cooling:https://brainly.com/question/15574522
Bryce plays in 3 football games this month. He drinks 5 bottles of
water during each game. How many bottles of water does Bryce
drink this month?
Answer:
Its 15 because 3 times 5 = 15.
Step-by-step explanation:
If I have an 86% overall grade in a class and score 40% on a test, what will my grade come out as?
Answer:
It really depends on how much percent of your overall grade tests count as. But, usually they count for about 60% of your grade (depending on what grade you are in). You have about 65% at the lowest and a 75% at the highest. But, I'm just going by what my school does, I don't know how your school grades tests.
Step-by-step explanation: