Answer:
Step-by-step explanation:
1) 1. AB ≅ CD Given
2. AD ≅ CB Given
3 . BD ≅ BD Reflexive property
4. ΔABD ≅ ΔCBD S S S congruent
2) 1. GH // JK Given
2. ∠HGJ ≅∠KJG Given
3. GH ≅ JK Given
4 . GJ ≅ GJ Reflexive property
5. ΔHGJ ≅ ΔKJG S A S congruent
3) ΔJNK ≅ ΔMNL SSS congruent
JK = ML CPCT
JK = 160 ft
4) ΔRPS ≅ ΔTQS A A S congruent
RS ≅ TS
RS = 85 m
5)ΔDEF ≅ΔGHJ
GJ = DE {CPCT}
6x - 13 = 3x + 2
6x = 3x + 2 + 13
6x = 3x + 15
6x - 3x = 15
3x = 15
x = 15/3
x = 5
HJ = 5x = 5*5 = 25
A swimming coach needs to choose a team for a relay race. The coach must select 4 of 6 available swimmers
and put them in a strategic sequence.
How many unique ways are there to arrange 4 of the 6 swimmers?
The number of unique ways is given by the number of possible
combination having distinct members.
The number of unique ways there are to arrange 4 of the 6 swimmers are 15 ways.
Reasons:
The given parameters are;
The number of swimmers available = 6 swimmers
The number of swimmers the coach must select = 4 swimmers
Required:
The number of unique ways to arrange 4 of the 6 swimmers.
Solution:
The number of possible combination of swimmers is given as follows;
[tex]_4C_6 = \dfrac{6!}{4! \times (6 - 4)!} = 15[/tex]
Therefore, the coach can select 4 of the 6 available swimmers in 15 unique ways
Learn more here:
https://brainly.com/question/23589217
Answer:
360
Step-by-step explanation:
6!/(6-4)!
The length of a rectangular pool is 4 meters less than twice the width. If the pool's perimeter is 64 meters, what is the width?
this is best solved using algebra
let the width be 4x (since it is 4 times more the length)
let the length be x
the formula for perimeter is (l+b)2 let us sub these variables in our formula
(x + 4x)2 = 64
expand brackets
2x + 8x = 64
combine like terms
10x = 64
make x the subject
x = 64/10 = 6.4
the length is 6.4 m
now let's find the width, the width is 4 times more the length so we simply substitute our value we found for x in 4x
we get:
4(6.4) = 25.6
the length is 25.6m
let's check our answers to see if its correct
25.6 + 6.4 = 32
32 × 2 = 64
the answer is correct
Does anyone know this?
Answer:
i think 36???
Step-by-step explanation:
3 x 2 is 6 and 6 x 6 is 36
Im going to be honest, I don't know what I'm doing
Check the picture below.
Choose all of the equations that are equivalent to 8k = 20.
Answer:
D
Step-by-step explanation:
it's 100% I'm super sure
Your cell phone bill in August was $61.43, which was $21.75 more than your bill in July. Your cell phone bill in July was $13.62 less than
in June. What was your cell phone bill in June?
Answer:
$53.30
Step-by-step explanation:
61.43-21.75=39.68 is the cell phone bill in July.
39.68+13.62= 53.30 is the phone bill in June.
Answer:
53.30
Step-by-step explanation:
August= 61.43
July= (61.43-21.75) or 39.68
June= (39.68+13.62) or 53.30
Hope this helps! :)
A contractor purchases 7 pairs of padded work gloves for $103.32. How much would he pay if he wanted to buy 12 pairs
Answer:
$177.12
Step-by-step explanation:
$103.32 divided by 7 to find out how much 1 pair costs= $14.76
$14.76x12= $177.12
if i get 45/50 in a test how much percentage is it
Answer:
the answer to your questions is 90%
whats 1/2 + 8/11 please explain by step by step
REFER THE PICTURE FOR YOUR ANSWER !!
Whats 1/2 + 8/11
___________________
= 1/2 + 8/11
= (1 × 11)/(2 × 11) + (8 × 2)/(11 × 2)
= 11/22 + (8 × 2)/(11 × 2)
= 11/22 + 16/22
= (11 + 16)/22
= 27/22
= 1 5/22 ☑️
Simplify this equation
Answer:
6x²y³
Step-by-step explanation:
Answer:
6x²y³
Step-by-step explanation:
7-2×8+1 evaluate each of the following
Answer:
-8
Step-by-step explanation:
u just do the 2x8 first
Hi! So in equations similar to this, you will need to use PEMDAS.
P - Parenthesis
E - Exponents
M - Multiplication
D - Division
A - Addition
S - Subtraction
Now that you know this, reevaluate your equation.
7-2x8+1
Firstly, you must multiply -2 and 8. Leaving you with -16.
7-16+1
Next, subtract 16 from 7.
-9 + 1
Finally, add -9 and 1.
-8
Your final answer is -8.
Evaluate the expression using the values given.
4y(y + x); use x= 3/2, and y = -5/4
Answer:
-5/4 or -1 1/4
Step-by-step explanation:
Okay! We'll take this problem one part at a time so that the process is less confusing and less difficult. Here's what our expression looks like when we replace x with 3/2 and y with -5/4:
[tex]4(-\frac{5}{4} )(\frac{3}{2} +-\frac{5}{4} )[/tex]
Looks a little scary! We can start by working within the parentheses and adding the two fractions together. First, we have to make each fraction have the same denominator, so we can multiply each fraction by 3/2 to get both our fractions a denominator of 4.
[tex]\frac{3}{2} *\frac{2}{2} =\frac{6}{4}[/tex]
[tex]\frac{6}{4} + -\frac{5}{4} =\frac{1}{4}[/tex]
Now, our expression is a little easier to work with. It looks like this now:
[tex]4(-\frac{5}{4} )(\frac{1}{4})[/tex]
First, let's multiply 4 by -5/4. Then, we'll take that product and multiply it by 1/4 to get our final answer.
[tex]\frac{4}{1} * -\frac{5}{4} =-\frac{20}{4} =-5[/tex]
Alright, this is our simplest expression yet. What's -5 times 1/4?
[tex]-\frac{5}{1} * \frac{1}{4} =-\frac{5}{4}=-1\frac{1}{4}[/tex]
So our answer is -5/4, or -1 1/4. Hopefully that's helpful! :)
Does anyone know how to solve this:
22 - 6x > 4
Answer:
x<3
Step-by-step explanation:
22-6x > 4
solve like a regular equation for x
subtract 22 on both sides
-6x>-18
divide -6
x>3
and since 6 is negative you switch the sign
so
x<3
what is the area of the rectangle below?
Answer:
B. 120sq. unitsStep-by-step explanation:
The area A of a rectangle is given by the formula, A=lw , where l is the length and w is the width.
so
8 * 15 = 120sq. units
Identify the given quadrilateral
Can anyone tell me if these are correct?
What is the formula of(a+b)whole square
Answer:
Step-by-step explanation:
(a+ b) ² = a² + b² + 2ab
Simplify the expression
( 3n • 2n^3)^2
Answer:
[tex] \large\color{red}{ \tt{36n⁸}}[/tex]
Step-by-step explanation:
[tex] \large\color{lime}{ \tt{(3n×2n³)²}}[/tex]
To multiply powers of the same base, add their exponents. Add 1 and 3 to get 4.[tex] \large\color{lime}{ \tt{(3n⁴ × 2)²}}[/tex]
Multiply 3 and 2 to get 6.[tex] \large\color{lime}{ \tt{(6n⁴)²}}[/tex]
Expand (6n⁴)².[tex] \large\color{lime}{ \tt{6²(n⁴)²}}[/tex]
To raise a power to another power, multiply the exponents. Multiply 4 and 2 to get 8.[tex] \large\color{lime}{ \tt{6²n⁸}}[/tex]
Calculate 6 to the power of 2 and get 36.[tex] \large\color{lime}{ \tt{36n⁸}}[/tex]
Hope It's Help
Create a problem on sum or difference of equal using angles. Then solve
Answer:
ABC
Step-by-step explanation:
3x-9=3
solve if you can
Finding the value of x,
→ 3x - 9 = 3
→ 3x = 3 + 9
→ x = 12/3
→ [ x = 4 ]
Thus, the value of x is 4.
Towns A, B, C, and X are located along a straight highway. Town B is between A and C, and the distance from A to C is
41 miles. BC is 2 miles more than twice AB.
Town X is between A and B, 6 miles from A. Find XC.
a. 13 miles
c. 41 miles
b. 28 miles
d. 35 miles
Answer: 35 miles, but this is not an answer option.
Step-by-step explanation:
A X B C
AC = 41 miles
BC = 2AB + 2
AX = 6
AX + XC = 41 [This is the key equation. We want XC and AX is given as 6]
6 + XC = 41
XC = 35 miles
None of the answer options show this value.
I don't know why, since:
a. "the distance from A to C is 41 miles." means AC = 41, and
b. "Town X is between A and B, 6 miles from A" means AX = 6
If we say that AX + XC = 41, then 6 + XC = 41 and XC = 35
I don't know why this would be incorrect, so I'll leave it to someone else to spot the problem.
which option is correct?
Answer:
Option D
Step-by-step explanation:
It is a right triangle because AB ⊥ BC
A textbook store sold a combined total of 294 physics and psychology textbooks in a week. The number of psychology textbooks sold
was 42 less than the number of physics textbooks sold. How many textbooks of each type were sold?
Answer:
105 psychology textbooks. 189 physics textbooks.
Evaluate the expression 61
Answer:
61 + 8 is 69 and that is a funny number
Answer: if i get this correct mark me the brainlist promise
Step-by-step explanation:6+x=12To evaluate an algebraic expression, you have to substitute a number for each variable and perform the arithmetic operations. In the example above, the variable x is equal to 6 since 6 + 6 = 12.
Example
Calculate the following expression for x=3 and z=2
6z+4x=?
Solution: Replace x with 3 and z with 2 to evaluate the expression.
6z+4x=?
6⋅2+4⋅3=?
12+12=24
What is the expression 3/8d+3/4 factored using the GCF
Answer:
[tex]\frac{3}{8}[/tex] ( d + 2)
Step-by-step explanation:
[tex]\frac{3}{8}[/tex] d + [tex]\frac{3}{4}[/tex]
= [tex]\frac{3}{8}[/tex] d + [tex]\frac{6}{8}[/tex] ← factor out [tex]\frac{3}{8}[/tex] from each term
= [tex]\frac{3}{8}[/tex] (d + 2) ← in factored form
There are m marbles in a bag. Write an expression for the number of marbles in the bag when 4 marbles are taken away
Answer:
m-4
Step-by-step explanation:
4 marbles taken away = -4 marbles
Consider the function f(x) = 3x4 − 5x2. This function is (even, odd, neither) because [ f(x) = -f(x), f(x) = f(-x), -f(x) = f(-x) ]
Answer:
odd
Step-by-step explanation:
cuz it can't be neither or even
Can anybody answer this for me?
[tex]\\\text{Given that,}\\\\(x_1 , y_1) = (5,6) ,~~ (x_2, y_2) = (-5,-4)\\\\\text{Slope},~m = \dfrac{y_2 - y_1}{x_2 - x_1} = \dfrac{-4-6}{-5-5} = \dfrac{-10}{-10} = 1[/tex]
what's 2x+3y=1,470 in slope intercept form?
hi..
can somebody tell me the answer to this?
Answer:
∠AFB is adjacent
you will be given ultimate cookie and 20 pts
Answer: -4, -3, 0, 2
Step-by-step explanation:
Answer:
-4,-3,0,2
Step-by-step explanation:
Decimals that are higher is the less than the smallest