Step-by-step explanation:
IN ΔAMN ΔABC
Since MN∣∣BC
∠AMN=∠ABC (Corresponding angles)
∠ANM=∠ACB (Corresponding angles)
∴ΔAMN∼ΔABC(By $$AA similarity criterion)
⇒
AB
AM
=
AC
AN
=
BC
MN
(CPST)
Since, M is mid-point of AB,
AM=
2
1
AB,or,
AB
AM
=
2
1
or,
AB
AM
=
AC
AN
=
2
1
AC
AN
=
2
1
5
AN
=
2
1
[∵AC=5cm]
AN=
2
5
cm=2.5cm
Also,
AB
AM
=
BC
MN
=
2
1
7
MN
=
2
1
[∵BC=7cm]
MN=
2
7
=3.5
Ans=AN=2.5cm and MN=3.5cm
solution
write the following in simplest form
A)12:33
B)20mm:5cm
A) 12 and 33 can be divided by 3 so 12:33 = 4:11
B= 20 and 5 can be divided by 5 so 20mm:5mm = 4mm:1mm
Answer:
A. 4: 11
B. 4: 1
Step-by-step explanation:
What are these? These are ratios, which show proportion. For example, for every two dogs, there is one cat. They can be written as words, fractions, or with colons, such as in these problems.
How to simplify: To simplify, think of the highest common factor. If you can't think of the highest, just think of a factor both numbers have in common and keep going until the numbers don't have any factors in common.
In this case, for A, the common factor was 3. 12/3=4 and 33/3=11. This cannot be simplified further because 11 is prime, which means it has no factors besides 1 and 11.
For B, the common factor was 4, so it is 4:1.
This equation shows how the amount of time that a receptionist named Terrence spends on the phone is related to the number of phone calls he routes to employees.
t = p + 17
The variable p represents the number phone calls he routes, and the variable t represents the number of minutes he is on the phone. In all, how many phone calls does Terrence have to route to spend a total of 20 minutes on the phone?
phone calls
hmmm I dunno sorry ......
[tex]\sqrt{x} 196
can someone help me
Answer:
14
Step-by-step explanation:
√196
Calculate the square root of 196 and get 14.
14
Which value of t makes the two matrices inverses of each other?
Answer:
C) 2
Step-by-step explanation:
I got it right on Edge 2021
The reason is that you can see that on the first matrix a and d are the same number, meaning that a and d on the second matrix need to be the same as well. Brainliest please :)
Ignore grammar and spelling mistakes
Answer: 2
Step-by-step explanation:
Un terreno cuadrado tiene una superficie de 900 metros cuadrados. ¿Cuántos metros lineales de alambre se necesitan para cercarlo?
Respuesta:
120 metros
Explicación paso a paso:
Dado que:
Área del lote cuadrado = 900 m²
Área, A de cuadrado = s²
Donde, s = longitud del lado
s² = 900
Toma el cuadrado de ambos lados
s = raíz cuadrada (900)
s = 30
Se requiere metro lineal de alambre para cercar, el lote será el perímetro del lote cuadrado;
El perímetro del lote cuadrado = 4s
Por eso,
Perímetro del lote cuadrado = 4 * 30
Perímetro del lote cuadrado = 120 m
Shania is making lasagna. The recipe she uses calls for 2 1/3 cups of spaghetti sauce. If she doubles the recipe, how much spaghetti sauce will she need?
Answer:
4 2/3 cups
Step-by-step explanation:
can u help pls like pls
Answer:
E. 16
Step-by-step explanation:
Easy:
Formula: P=2(l+w)
Plug in and solve:
P=2(3+5)
P = 16 (Option E is correct)
What is the solution to the equation x + 11 = 57? (Input a whole number only.)
Answer:
46
Step-by-step explanation:
Answer:
x=46
Step-by-step explanation:
please answer this i will mark brainliest
Answer:
The median is 2
Step-by-step explanation:
Arrange your numbers in numerical order.
0011112233445
Count how many numbers you have.
If you have an odd number, divide by 2 and round up to get the position of the median number.
If you have an even number, divide by 2. Go to the number in that position and average it with the number in the next higher position to get the median.
PLEASE MARK ME BRAINLIEST
Plz help ASAP !!!!!!!! Plzz
Answer:
option a is the answer to the question
Which equation best represents the relationship between x and y in the graph?
A. y = -2x + 1.5
B. y = -2x + 3
C. y = -1/2x + 3
D. y = -1/2x + 1.5
Will give brainless whatever that means. Due today. The radius of a basketball is 10 inches, and the radius of a soccer ball is 9 inches. How much greater is the volume of the basketball than the soccer ball? Round to the nearest tenth
9514 1404 393
Answer:
1135.2 in³
Step-by-step explanation:
The volume of a sphere is given by the formula ...
V = (4/3)πr^3
The difference in volume will be ...
∆V = Vb -Vs = (4/3)π(10^3 -9^3) = (4/3)π(1000 -729) = 4/3π·271 . . . cubic in
∆V ≈ 1135.2 . . . cubic inches
The basketball has a volume that is 1135.2 cubic inches greater.
_____
If you use 3.14 for π, your answer is 1134.6 in^3.
A doctor is measuring body temperature for patients visiting the office. The doctor believes the average body temperature is less than 98.6 degrees Fahrenheit and would like to test this claim. During the process of hypothesis testing, the doctor computes a value from the sample data, which will be used to compare the sample data to the population parameter. What value did the doctor compute?
Answer:
Test statistic
Step-by-step explanation:
What is the value of x?
r \ 130°
Answer:
Step-by-step explanation:
Answer:
I don't see an "x" or an equation-
hlp help help plsssssssssssss
Answer:
A
Step-by-step explanation:
Think about the square root of 64, which is 8. It will only be slightly higher than 8, which will not even be .5, so 8 is the closest number.
The point (1, -5) is an ordered pair for which function?
ƒ( x ) = 2 x - 7
ƒ( x ) = - x + 9
ƒ( x ) = 3 x - 11
Answer:
The first one.
Step-by-step explanation:
so 1 stands for x and -5 stands for y. When you plug in 1 into the equation the answer is -5. So that order pair works with that equation.
Write an equation in point-slope form of the line that passes through the point(3,5) and has a slope of m=-1
HELP !!
In a sequence of numbers, a4=9, a5=15, a6=21, a7=27, and a8=33.
Which recursive rule can be used to find the nth term of the sequence, an?
a1=−9; an=an−1+6
a1=−9; an=6an−1
a1=9; an=an−1+6
a1=9; an=6an−1
Answer:
Given sequence:
a₄=9, a₅=15, a₆=21, a₇=27, and a₈=33Common difference is:
33-27 = 27 - 21 = 21 - 15 = 15 - 9 = 6Find the first term:
a₃ = 9 - 6 = 3a₂ = 3 - 6 = - 3a₁ = -3 - 6 = -9Recursive formula:
a₁ = -9 and aₙ = aₙ₋₁ + 6Correct choice is A
When rolling a die, calculate the probability as a fraction of rolling a 3. The probability is
Answer:
1/6
Step-by-step explanation:
there is only one side in which there is 3 out of total six sides so 1/6
PLEASE HELP!!!! Jul is using the graph of an exponential function to represent the value of an investment where x is the number of years Jul has owned the investment. Which statement correctly describes a key feature of the function?
Answer: the answer is D
Step-by-step explanation:
Trust me
the domain of the function is x greater than equal to 0.
Answer: The domain of the function is x>0. So D just took the test, got it right!
Step-by-step explanation:
I AM GIVING BRAINLIEST TO WHOEVER ANSWERS, IF IT SAYS IT'S ALREADY ANSWERED, IT'S A LINK. PLEASE HELP ME :D
If you get this question right you’ll get points 100+356-123=?????
Answer:
333 :)
Step-by-step explanation:
A rectangle is 29 feet long and 7 feet long. What is the area of this rectangle? 203 ft² 143 ft² 107 ft² 72 ft²
Answer:
203 ft²
Step-by-step explanation:
We need to use multiplication for the answer of this.
29 × 7 = 203
so that means that the answer in feet is 203 ft²
good luck hope this helped
-cheesetoasty
What must the values of x and y be so that the two houses are similar?
Answer:
x=12 and y=6
Step-by-step explanation:
because the angle are same and equal
The value of x is 12 and y is 6.
what is similarity?Similar figures mean when two figures are of the same shape but are of different sizes. In other words, two figures are called similar when they both have a lot of the same properties but still may not be identical. For example, the sun and moon might appear the same size but they are actually different in size. However, we are similar figures since both the figures are circular in nature.
Two triangles will be similar if the angles are equal (corresponding angles) and sides are in the same ratio or proportion(corresponding sides). Similar triangles may have different individual lengths of the sides of triangles but their angles must be equal and their corresponding ratio of the length of the sides or scale factor must be the same. If two triangles are similar that means,
All corresponding angle pairs of triangles are equal.All corresponding sides of triangles are proportional.As per the situation we have given that
The similarity in figures show that the angles are equal.
Also, the corresponding sides are also equal.
Hence, the value of x is 12 and y is 6.
Learn more about similarity here:
https://brainly.com/question/12670209
#SPJ2
A rectangular box is 6 inches wide 10 inches long and 2 inches tall how much wrapping paper is needed to cover the box exactly
Answer:
184 in²
Step-by-step explanation:
Given :
Width, w = 6 inches
Length, l = 10 inches
Height, h = 2 inches
To obtain how much wrapping paper is needed ; we take the surface area of the box
Surface area = 2(lw + lh + wh)
Surface area = 2((6*10) + (6*2) + (10*2))
Surface area = 2(60 + 12 + 20)
Surface area = 2(92)
Surface area = 184 in²
The amount of wrapping paper needed = 184 in²
Evaluate the function at the given value.
h(x) = 1/3.6^x
what is h(2)?
Answer:
h(x)=6^x/3 is what I got hope I could help
The quotient of (x4 + 5x3 – 3x – 15) and a polynomial is (x3 – 3). What is the polynomial?
x7 + 5x6 – 6x4 – 30x3 + 9x + 45
x – 5
x + 5
x7 + 5x6 + 6x4 + 30x3 + 9x + 45
Answer:
g(x) = x+5
Step-by-step explanation:
Given that,
[tex]f(x)=x^4+5x^3-3x-15[/tex]
[tex]q(x) = (x^3-3)[/tex]
We need to find the polynomial. We know that, Euclid division lemma states that
[tex]f(x)=q(x)\times g(x)+r(x)[/tex]
Where
f(x) is dividend
g(x) is the poynomial
q(x) is quotient
r(x) is remainder
So,
[tex]x^4+5x^3-3x-15=(x^3-3)\times g(x) +0\\\\g(x)=\dfrac{x^4+5x^3-3x-15}{(x^3-3)}\\\\g(x)=x+5[/tex]
So, the polynomial is (x+5).
Answer: its C
Step-by-step explanation: i just took the test
y=-3x + 4
y = 3x - 2
What solution does this system have? How do you
know? Justify (explain).
Answer:
(1,1)
Step-by-step explanation:
Since both the equations equal y, we can replace one of them with y.
y=-3x + 4
3x - 2 = -3x + 4
Add 3x to both sides.
6x - 2 = 4
Add 2 to both sides of the equation.
6x = 6
x = 1
Now that we know what x is, we can plug that value into one of the original equations.
y = 3x -2
= 3(1) - 2
= 3 - 2
= 1
What is the diameter of a sphere with a volume of 332\text{ cm}^3,332 cm 3 , to the nearest tenth of a centimeter?
Answer:
The diameter is 8.6cm
Step-by-step explanation:
Given
Shape: Sphere
[tex]Volume = 332cm^3[/tex]
Required
Determine the diameter of the sphere
First, calculate the radius using:
[tex]Volume = \frac{4}{3} \pi r^3[/tex]
Substitute: [tex]Volume = 332cm^3[/tex]
[tex]332= \frac{4}{3} \pi r^3\\[/tex]
Solve for r
[tex]r^3 = \frac{332 * 3}{4 * \pi}[/tex]
[tex]r^3 = \frac{996}{4 * \pi}[/tex]
[tex]r^3 = \frac{249}{\pi}[/tex]
[tex]r^3 = \frac{249}{3.142}[/tex]
[tex]r^3 = 79.25[/tex]
Take cube roots
[tex]r = \sqrt[3]{79.25}[/tex]
[tex]r = 4.3[/tex]
Diameter (D) is calculated as:
[tex]D = 2r[/tex]
[tex]D = 2 * 4.3[/tex]
The person who answers has an explanation that doesn't have a link, and isn't incorrect gets brainiest. Ok here is the question "What are the first 30 characters in pi aka ~3.141592653589793238462643383 is all I remember."
Answer:
3.14152628283829299348473929