Answer:
D.) AC ≈ DF
Step-by-step explanation:
The SSS (Side-Side-Side) congruence postulate states that 2 triangles will be congruent assuming that all 3 of their sides are congruent.
In this case, we know that:
AB ≈ DECB ≈ FESo, that's two pairs of congruent sides. We need one more pair of congruent sides to prove SSS congruence. The last two remaining are sides CA and FD!
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Have a nice day fam. Spread The Love!
Type the correct answer in the box. Use numerals instead of words.
Find the sum of a finite geometric series.
At the beginning of every year, Molly deposits $200 in a savings account that offers an interest rate of 20%, compounded annually. The total
amount that Molly will have in her account at the end of 3 years is $
Answer:
$345.60
Step-by-step explanation:
From the above question,
P = Principal = $200
R = Interest rate = 20%
T = Time in years = 3 years
n = Number of times interest is compounded = Annually = 1
First, convert R as a percent to r as a decimal
r = R/100
r = 20/100
r = 0.2 rate per year,
Then solve the equation for A
The formula =
A = P(1 + r/n)^nt
A = 200.00(1 + 0.2/1)^(1×3)
A = 200.00(1 + 0.2)^(3)
A = $345.60
Therefore, the total amount that Molly will have in her account at the end of 3 years is $345.60
2500 in standard form
2500 in standard form is 2.5 × 10³
Answer:
2.5*10^3
Step-by-step explanation:
find the formula for the nth term of the arithmetic sequence a1=15,d=9
A bag contains 37 coins consisting of only dimes and quarters. To
total amount of money in the bag is $6.85. Which system of
equations
can be used to determine the number of quarters, 9,
and the number of dimes, d , in the bag?
Answer:
Step-by-step explanation
Mr. Garner purchased a party hall and wants to repaint it as part of the renovations. He needs to calculate the lateral surface area of the party hall so that he will know how much paint to buy. The party hall is in the shape of a rectangular prism with the dimensions shown below.
Including the doors, what is the lateral surface area of the party hall in square feet?
1,904 ft2
1,860 ft2
3,764 ft2
14,280 ft2
Answer:
The lateral surface area is: 1860 square feet
Step-by-step explanation:
Given
The missing dimension are:
See attachment for storage
[tex]L = 20[/tex] --- Length
[tex]W = 42[/tex] --- Width
[tex]H = 15[/tex] --- Height
Required
The lateral surface area
The lateral area is calculated as:
[tex]Area = 2 * H * (L + W)[/tex]
So, we have:
[tex]Area = 2 * 15 * (20 + 42)[/tex]
[tex]Area = 30 * (20 + 42)[/tex]
[tex]Area = 30 * 62[/tex]
[tex]Area = 1860[/tex]
The fourth term of an exponential sequence is 108 and the ratio is 3 . Calculate the value of the eighth term of the sequence, calculate the sum of the first five terms of the sequence.
Answer:
8th term = 8748 , Sum of 5 terms = 484
Step-by-step explanation:
Formula for nth term in an exponential sequence = a r^ (n-1)
Here : n = 4 , ratio r = 3 ; And nth ie 4th number = 108
So, a r^ (n-1) = nth item implies that → a 3 ^ (4-1) = 108
a 3^3 = 108 → 27 a = 108 → a = 108 / 27 → a = 4
8th term = a r^ (n-1) , at n = 8. So, = 4 3^(8-1) = 4 3^7 = 4 x 2187 = 8748
Sum of n terms = a [(r^n) -1 ] / [r - 1] → Sum 5 terms = 4 [ (3^5)- 1] / [3 - 1]
= 4 [ (243) - 1] / 2 ] = 2 x 242 = 484
The amplitude of a periodic function is 8.5 and its minimum value is 0. What is the functions
maximum value?
Answer:
maximum value is 17.
Step-by-step explanation:
8.5=1/2(x-0)
8.5=1/2x
8.5=x/2
8.5×2=x
17=x
x=17
please help asap!!!!!
Answer:
No
Step-by-step explanation:
if both equations begin with 'y=' then we can set the expressions equal to each other:
-x+1 = -x+5
1 ≠ 5 ∴ there are no solution to this system of equations
hii please help i’ll give brainliest
Answer:
1. 8
2. 25
3. 3
Step-by-step explanation:
$1,800 is what percent of $6,000?
Answer:
30%
Step-by-step explanation:
1,800/6,000 = 0.30 -> 30%
Answer:
30%
Please mark as brainliest if answer is right
Have a great day, be safe and healthy
Thank u
XD
April has 5 milligrams of zinc and 0.25 milligrams of copper. How much more zinc does she have than copper?
Answer:
the answer is 4.75
Step-by-step explanation:
5-0.25=4.75
Pls hurry!!
Find the area of the triangle
Answer:
A = 6
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
Number of offspring and weight, in pounds, of 23 randomly selected rabbits are compared. Which significance test should be used to see if number of offspring and weight have a linear relationship? Assume all test conditions are met. (4 points)
Answer:
t test for the slope of regression line
Step-by-step explanation:
Suppose a random sample is drawn from the bivariate normal population and the estimated regression equation is found Y^= a +bX , where, b , the sample estimate of β1 is normally distributed with mean β and standard deviation
σyx / √∑(x-x`)².
The test statistic has t distribution where
t= b-β/sb
where sb= Syx / √∑(x-x`)² with υ= n-2 degrees of freedom.
It is important to note that the testing of hypothesis that β= 0 is equivalent to testing the hypothesis that variable Y is independent of the variable X in the linear sense.
The test statistic then becomes t= b/ sb .
If we reject H0 : β= 0 we conclude that the two variables are linearly independent.
I need help simplifying this
Answer:
n^2
Step-by-step explanation:
cancel the common factor between n^7 and n^2
2 items divided EQUALLY by 5?? HELP
What number is 0.01 more than 253.498?
Answer:
1/64
Step-by-step explanation:
Doing it by hand, I get that the number is 1/16 which is equal to 0.0625 and the previous one will be 1/8 which is 0.125.
In the formula given by others, if you apply the 12 to it you will get an=2(5-12)which is equal to 0.0078, less than 0.100 but not the first number.
The correct value for n is 9 that will give us 2-4=1/16
253.508 is 0.01 more than 253.498.
What is Number system?A number system is defined as a system of writing to express numbers. It is the mathematical notation for representing numbers of a given set by using digits or other symbols in a consistent manner.
It provides a unique representation of every number and represents the arithmetic and algebraic structure of the figures.
Let the number be x
so,
x=253.498+0.01
x= 253.508
Learn more about concept here:
brainly.com/question/14491091
#SPJ2
Please help! It's Algebra.
Answer:
Square: x= +or - [tex]\sqrt{7}[/tex], Triangle: x= + or - [tex]\sqrt{23}[/tex]
Step-by-step explanation:
For the square
4[tex]x^{2}[/tex]=28
dvide by four:
[tex]x^{2}[/tex]=7
Take the square root of both sides
x= +or - [tex]\sqrt{7}[/tex]
For the Triangle
(1/2) (2x) (2x)=46
2[tex]x^{2}[/tex]=46
Divide by 2
[tex]x^{2}[/tex]=23
x= + or - [tex]\sqrt{23}[/tex]
In ΔGHI, the measure of ∠I=90°, HI = 5.6 feet, and IG = 2.8 feet. Find the measure of ∠G to the nearest tenth of a degree.
Answer: I would say it would be 70
Step-by-step explanation:
Hey guys I need help asap
Math question!!!!!!!!!!!!!
Answer:
the correct answer for that would be identity property
Answer:
first one
Step-by-step explanation:
PLEASE HELP!
Y=5x-9
-2x-3y=-7
Please show
work!
substition for math
Answer:
ill edit this and Post the answer in a few m0ments .....
Step-by-step explanation:
Answer:
J
Step-by-step explanation:
K. since you thought it was so funny to do it to me
Each side of a square is 62/3 m long. Find its Area
Answer:
=> (62/3)m
Step-by-step explanation:
=> (62/3)²
=> (62)²/(3)²
=> 3844/9 m²
Answer:
427.11111
Step-by-step explanation:
This is the answer
Please can someone help me on this ASAP pls.
Answer:
Whats the question? I dont see a file or anything?
Step-by-step explanation:
2x + 5y = 10
i need the slope and y-intercept
Answer:
Slope: [tex]-\frac{2}{5}[/tex]
Y-intercept: 2
Step-by-step explanation:
We have to isolate y;
2x + 5y = 10
5y = -2x + 10
y = [tex]\frac{-2x + 10}{5}[/tex]
y = [tex]-\frac{2}{5} x + 2[/tex]
Hope this helps!
A jewelry designer sells bead necklaces in a local farmer's market. The profit P that she makes from selling x necklaces is given by P = −x2 + 35x. What is the least number of her necklaces she must sell to make a profit of $300.00?
Answer:
15
Step-by-step explanation:
Given that the profit equation from selling x necklaces is
P = −x2 + 35x.
To make a profit of $300, the profit P = 300 then
300 = -x2 + 35x
x2 - 35x + 300 = 0
solve by factorization
x2 - 15x - 20x + 300 = 0
x(x - 15) - 20(x - 15) = 0
(x - 15)(x - 20) = 0
x - 15 = 0 or x - 20 = 0
x = 15 or 20
Since 20 is higher, the least number of her necklaces she must sell to make a profit of $300.00 is 15
sin∅ (csc∅ -sin∅ ) simplify
Answer:
1+sin²Θ
Step-by-step explanation:
sin[tex]\alpha[/tex](cosec[tex]\alpha[/tex]-sin[tex]\alpha[/tex])
=sin[tex]\alpha[/tex]( [tex]\frac{1}{sin \alpha }+sin\alpha[/tex])
[tex]=sin\alpha (\frac{1+sin^{2} \alpha }{sin\alpha } )\\1+sin^{2} \alpha[/tex]
What is the answer to this?-
Answer:
yes, by SAS
Step-by-step explanation:
cause the GI and JL are congruent and the same for HG and LK
what number goes into the missing space
Answer:
12
Step-by-step explanation:
mrk me brainliest plzzzzzzzzzz
Answer:
b) 12
Step-by-step explanation:
The first image shows the top 2 numbers as 5 and 2 = 5 * 2
=> 10
The Second image shows the top 2 numbers as 3 and 3 = 3 * 3
=> 9
So, the third image shows the top 2 numbers as 2 and 6 = 2 * 6
=>12
Therefore, the missing space in the third circle is b) 12
Hope it helps :)
L= 1/2 (4+12) 1/2 (3a)
Answer:
[tex]a \ = \frac{l}{12} [/tex]
please help me! multiple choice
Answer:
(3,4)and r=2 is is the center and radius of the circle.
stay safe healthy and happy.