Given:
AC = BC
∠3 = ∠4
Based on the given information and the algebraic and geometric properties presented or proven thus far, choose the congruence theorem that could be used to prove that triangle ACM is congruent to triangle BCM. If it is not possible to prove the triangles are congruent, choose "not possible".
Choices:
SSS
SAS
ASA
not possible
Answer:
SAS Postulate
Step-by-step explanation:
Jesse ate 100 donughts i 5 days each day she ate 6 more then the day before how many did she eat each day
Segment AB is rotated to form A'B'¯¯¯¯¯¯¯ . The coordinates of point A are (1, 5) and the coordinates of point B are (−6, 4) . Which clockwise rotation around the origin results in the transformation of AB¯¯¯¯¯ to form A'B'¯¯¯¯¯¯¯ ?
If f(x)=5x^0+4x^-3 then f(a)=?
To find f(a) for the given function, substitute a for x in the function and simplify the expression.
Explanation:Given the function f(x) = 5x0 + 4x-3, we need to find f(a). To find f(a), we substitute a for x in the function. Plugging in a, we get f(a) = 5a0 + 4a-3. Since any number raised to the power of 0 is equal to 1, we have f(a) = 5(1) + 4a-3. Simplifying further, we get f(a) = 5 + 4/a3.
Learn more about Functions here:https://brainly.com/question/21145944
#SPJ2
Which of the following properties is 5(3 + 2) = 15 + 10 an example of?
associative property
commutative property
multiplicative identity
distributive property
Answer: Distributive property
Step-by-step explanation:
Associative property states that either in addition or multiplication we can changes the position of parenthesis.
That is, a.(b.c) = (a.b).c or a+(b+c) = (a+b)+c
Commutative property states that in addition or multiplication we can change the order.
That is, a.b = b.a or a+b = b+a
Multiplicative identity is an element that gives the same number after multiplication.
That is, a × 1/a = 1 ⇒ 1/a is the multiplicative identity of a.
Distributive property lets us multiply a sum by multiplying each addend separately and then add the products.
That is, a(b+c) = a.b + a.c
Thus, it is clear that ,
5(3 + 2) = 5× 3+ 5×2 = 15 + 10 is the example of distributive property.
Please help with these questions thank you.
Find the 31st term of the following sequence.
9, 15, 21, ...
Notice that the above sequence is arithmetic because the common difference: d is constant.
d = second term - first term.
= 15 - 9
= 6
The general term of an arithmetic sequence is,
a_{n} =a_{1} +(n-1)d
Where , nth term = [tex] a_{n} [/tex]
[tex] a_{1} [/tex] = First term
and d = common difference.
The given sequence is: 9, 15, 21, ...
Here a_{1} = 9,
d = 6
We need to find the 31st term. So, n = 31.
Next step is to plug in these values in the above formula. Therefore,
[tex] a_{31} =9 +(31-1)*6 [/tex]
= 9 + 30* 6
= 9 + 180
= 189
So, 31st term of this sequence is 189.
Hope this helps you.
Answer:
189
Step-by-step explanation:
Merry and pippin were working on a project in carpentry class. they needed to cut 4 lengths of 1 5/8 feet from a board. how long must the board be to allow this?
Answer:
Hence, the length of board is:
6.5 feet
Step-by-step explanation:
Merry and pippin were working on a project in carpentry class.
They needed to cut 4 lengths of 1 5/8 feet from a board.
That means each of the piece is of length 1 5/8 feet which could be written in fraction as:
[tex]1\frac{5}{8}=\dfrac{13}{8} feet[/tex]
Hence, the otal length of the board is addition of length of each board.
i.e.
[tex]\dfrac{13}{8}+\dfrac{13}{8}+\dfrac{13}{8}+\dfrac{13}{8}=4\times \dfrac{13}{8}=\dfrac{13}{2}feet=6.5feet[/tex]
Hence, the length of board is:
6.5 feet
i need someones help please?
Given that a line has a slope of -3 and a point on the line is (2,-4),
1.what is the equation of the line in point-slope form?
2.how do we create slope-intercept form?
*please show all work, step by step.
Which of the sets of ordered pairs represents a function? (4 points)
A = {(−4, 5), (1, −1), (2, −2), (2, 3)}
B = {(2, 2), (3, −2), (9, 3), (9, −3)}
you can do both or neither as well THX
What is the volume if something measures 6.2 cm x 13.7 cm x 26.9 cm?
The calculated volume is 2284.886 cubic centimeters.
The volume of a rectangular prism (or box) is calculated using the formula:
Volume = length x width x height
For the given measurements:
Length (l) = 6.2 cmWidth (w) = 13.7 cmHeight (h) = 26.9 cmPlug the values into the formula:
Volume = 6.2 cm x 13.7 cm x 26.9 cm
First, calculate the product of the length and width:
6.2 cm x 13.7 cm = 84.94 cm²
Next, multiply this result by the height:
84.94 cm² x 26.9 cm = 2284.886 cm³
Therefore, the volume of the object is 2284.886 cubic centimeters.
Two integers with the sum of -17 and the product of 52?
The relation of this set of points is a function. True or false.
{(−2, 6), (4, 5), (3, −3), (6, 9), (4, −4)}
Question 1 options:
True
False
Save
There are currently 58 million cars in a certain country, increasing exponentially by 5.5% annually. how many years will it take for this country to have 79 million cars? round to the nearest year.
An automobile manufacturing organization noted a drop in sales after an incident occurred due to the lack of a safety feature in their cars. Many customers began considering other brands of cars after this incident. How can the organization avoid losing customers
Answer:
introducing customer retention strategies
Step-by-step explanation:
Find the 20th term in arithmetic sequence -4, 1, 6, 11, 16,
You were assigned to read 5⁄8 of your book. how many sixteenths is that? fraction
Which ordered pair comes from the table ? HELPPP!
given a line whose slope is, m, is -6/5, and passes through point (-5,3), the graph will?
Each of ten tickets is marked with a different number from 1 to 10 and put in a box. if you draw a ticket from the box, what is the probability that you will draw 2, 8, or 4?
Answer: [tex]\dfrac{3}{10}[/tex]
Step-by-step explanation:
Given : Each of ten tickets is marked with a different number from 1 to 10 and put in a box.
i.e. The total number of outcomes : 10
Favorable outcomes : 2, 8, or 4
i.e. Number of favorable outcomes = 3
Now, the probability that you will draw 2, 8, or 4 is given by :-
[tex]=\dfrac{\text{Number of favorable outcomes}}{\text{Total outcomes}}\dfrac{3}{10}[/tex]
MATH PLEASE HELP 50 POINTS 1 QUESTION
Complete the reasons in the proof below.
Given: ∠1 and ∠5 are supplementary.
Prove: a ∥ b
Statements
1. ∠1 and ∠5 are supplementary
2. ∠1 ≅ ∠2
3. ∠2 and ∠5 are supplementary
4. a ∥ b
The length of a rectangular plot of land is 10 yards more than its width. If the area of the land 600 square yards , find the dimensions
Final answer:
The dimensions of the rectangular plot of land, where the length is 10 yards more than its width and the area is 600 square yards, are 20 yards by 30 yards. We arrived at this by setting up a quadratic equation and solving for the width.
Explanation:
To find the dimensions of a rectangular plot of land where the length is 10 yards more than its width and the area is 600 square yards, we can set up an equation. Let w be the width of the plot. Then the length is w + 10 yards. The area of a rectangle is given by the formula length × width, which in our case is (w + 10) × w = 600.
Setting up the equation, we get:
w(w + 10) = 600
w^2 + 10w - 600 = 0
To solve the quadratic equation, we can factor it, use the quadratic formula, or complete the square. Factoring the equation, we find that:
(w - 20)(w + 30) = 0
Thus, the width w can be either 20 yards or -30 yards. Since a width cannot be negative, we take w = 20 yards. Then, the length is:
w + 10 = 20 + 10 = 30 yards
The dimensions of the rectangular plot of land are 20 yards by 30 yards.
Find three consecutive odd integers whose sum is negative 465
465 / 3 = 155
so -153 + -155 + -157 = -465
The point MegaMarket sold 450 organic pears last season. this season they only sold 360 What was the percent decrease in sales
which ordered pair is a solution of the equation y=x-4
Answer:
Step-by-step explanation:
y = x - 4
there are so many ordered pairs which are the solution of the given equation.
for example,
x = 0, y = -4
x = 1 , y = -3
x = 2, y = -2
x = 3, y = -1
x = 4, y = 0
x = - 1, y = - 5
x = - 2, y = - 6
x = - 3, y = - 7
x = - 4, y = - 8
PLEASE HELP!!!! WILL MARK THE BRAINLIST!!!! PLEASE PLEASE PLEASE PLEASE PLEASE PLEASE
a) The shoe store manager borrowed $17,000.00 from the bank to purchase 1000 pairs of shoes. The bank charges a simple interest rate of 5% per year on a loan to a business. If it takes 3 years to pay back the loan and interest, what is the total amount of interest that the shoe store will pay? (2 points)
b) What is the total amount, including interest, that the shoe store must pay on the loan? (2 points)
c) How could you use estimation to determine if your answer is reasonable? Explain. (2 points)
A) 17000*(1+(0.05*3) = 19550
19550-1700 = $2,550 total interest
B) $19,550 total amount
C) multiply 5 by 3 = 15 than multiply by 17 = 17 * 15 = 255 , then make it a thousands amount by adding a zero at the end
Answer:
A)
p = 17000
r = 5% or 0.05
t = 3
Simple interest formula = p x r x t
Interest paid in 3 years = [tex]17000\times0.05\times3=2550[/tex] dollars
B)
Total amount to be paid = [tex]17000+2550=19550[/tex] dollars
C)
You can first multiply the years and rate that is 5 and 3 to make 15. Then you can multiply by 17. Then put proper decimals as per the values.
What is the value of N?
-10= N over -0.2
Find the value of x so that the line passing through (10, 5) and (x, 9) has a slope of -2.
PLZ HELP ILL GIVE A BRAINLIEST SHOW ALL WORK!!!!