Answers
9514 1404 393
Answer:
∆KAF, by rule LA
Step-by-step explanation:
The angle bisector divides angle FAP into two equal angles KAF and KAP. The two right triangles share side KA, so we have a leg KA and an angle KAF, KAP that are the same in the two triangles. That is enough to invoke rule LA (leg, angle) to claim congruence.
∆KAP ≅ ∆KAF by rule LA
Related Questions
Given: D is the midpoint of AB: E is the midpoint of AC
Prove: DE 1 BC
Complete the missing parts of the paragraph proof
Proof
To prove that DE and BC are parallel, we need to show
that they have the same slope.
slope of DE
V
A(25, 20)
loro, o
CC
GDD
Elab, o)
slope of BC
BIOO)
C(2,0)
Therefore, because
DE I BC.
Answers
Answer:
Step-by-step explanation:
Slope of DE = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
= [tex]\frac{c-c}{a+b-b}[/tex]
= 0
Slope of BC = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
= [tex]\frac{0-0}{2a-0}[/tex]
= 0
Therefore, DE║BC because slopes of BC and DE are equal.
The drama club is selling tickets for a play. The profit, y, is
modeled by the equation, y = x2 – 40x – 3,200, where x is
the number of tickets sold. What is the total number of
tickets, x, that need to be sold for the drama club to break
even (profit = $0)?
Answers
Answer:
80 tickets
Step-by-step explanation:
Given the profit, y, modeled by the equation, y = x^2 – 40x – 3,200, where x is the number of tickets sold, we are to find the total number of tickets, x, that need to be sold for the drama club to break even. To do that we will simply substitute y = 0 into the given the equation and calculate the value of x;
y = x^2 – 40x – 3,200,
0 = x^2 – 40x – 3,200,
x^2 – 40x – 3,200 = 0
x^2 – 80x + 40x – 3,200 = 0
x(x-80)+40(x-80) = 0
(x+40)(x-80) = 0
x = -40 and x = 80
x cannot be negative
Hence the total number of tickets, x, that need to be sold for the drama club to break even is 80 tickets
Calculate the amount of simple interest earned
$1,000 at 4% for 4 years
Answers
Answer:
$160
Step-by-step explanation:
A = $1,160.00
I = A - P = $160.00
Equation:
A = P(1 + rt)
Calculation:
First, converting R percent to r a decimal
r = R/100 = 4%/100 = 0.04 per year.
Solving our equation:
A = 1000(1 + (0.04 × 4)) = 1160
A = $1,160.00
The total amount accrued, principal plus interest, from simple interest on a principal of $1,000.00 at a rate of 4% per year for 4 years is $1,160.00.
How many terms are in this expression?,,,, -2x + 3y - 4
Answers
Hope that helps!
+
+
+
b
a
0
C
All of the following statements are all true except
The quotient of a and b is positive.
The quotient of O and cis O.
The quotient of cand bis negative.
The quotient of O and a is undefined.
Answers
Answer:
4. The quotient of 0 and a is undefined.
Step-by-step explanation:
Let's examine each statement to see which is true or untrue.
✔️Statement 1:
a is a negative number. b is also a negative number. A negative number dividing another negative number would give us a positive number. That is the quotient of a and b would be positive.
Statement 1 is true.
✔️Statement 2:
Dividing 0 by any number would always give us 0. Therefore the quotient of 0 and c would be 0.
Statement 2 is correct.
✔️Statement 3:
c is a positive number. b is negative number. Positive divided by negative = negative.
Statement 3 is correct.
✔️Statement 4:
Dividing 0 by any number would give us a quotient of 0.
Statement 4 is incorrect. It is incorrect because ⁰/a = 0. But a/0 = undefined.
Solve and explain (x^2+2xy+y^2)(x+1)
A. x^3 + 2x^2y + x^2 + y^2 + xy^2
B. x^2 + 2xy+ y^2
C. x^3 + x^2 + 2x^2y + xy^2 + y^2 + 2xy
D. x^2 + y^2 + 2xy + x + 1
Answers
answer is A
x^3 + 2x^2y + x^2 + y^2 + xy^2
Answer:
answer would be C.
Step-by-step explanation:
mUsing the distributive property.
The area is no more than 40 square feet. Write and solve an inequality that represents the value of x
Answers
Answer:
well its a triangle so
40 divide by 20 is 2
but you have to mutiply that 2 by 2
Step-by-step explanation:
4
Which type of data is BEST described by a continuous model?
A)
pets owned
B)
height of boys
C)
girls in school
D)
crimes reported
It's b
Answers
Answer: b
step-by-step explanation:
Which statements are true? Check all that apply.
O is greater than -2/3.
2/3 is equal to -2/3
-1 < -1/3
-2/3 > 1/3
-1/3 > - 2/3
Answers
it want me to type here sooo um brainleist for the one who gibs the correct answer!!
Answers
Answer:
70 + 95 = 5(14 + 19)
Step-by-step explanation:
To factor the expression, 70 + 95, using the GCF, take the following steps:
✔️Find the prime factors of each number:
Prime factors of 70 = 2 × 5 × 7
Prime factors of 95 = 5 × 19
Multiply the factors that both numbers have in common to get the GCF.
This, both number have only one factor in common which is 5.
Therefore, the GCF of 70 and 95 is 5.
✔️Factoring the experession given using the GCF, we have:
70 + 95 = 5(14 + 19)
What is the solution to this system of equations y=x-2 y=-0.5x+4
Answers
Answer:
Substitute y=x-2y=x−2 into y=-0.5x+4y=−0.5x+4.
x-2=-0.5x+4x−2=−0.5x+4
2 Solve for xx in x-2=-0.5x+4x−2=−0.5x+4.
x=4x=4
3 Substitute x=4x=4 into y=x-2y=x−2.
y=2y=2
4 Therefore,
\begin{aligned}&x=4\\&y=2\end{aligned}
x=4
y=2
Step-by-step explanation:
Find the measures of the interior angles.
Answers
Answer:
x = 13
Step-by-step explanation:
154 + 13 = 167
so 180 minus 167 and you get 13
all interior angels of a tringel should add up to 180
PLEASE I NEED HELP NOW ANSWER ALL 4 QUESTIONS FOR 20 POINTS!!!
Answers
Answer:
Steak:$38
Chicken:$24.75
Fish:$16.31
Total:$79.06
Step-by-step explanation:
8 x 3 1/2 = 8 x 7/2 = 56/2 = 28
4 2/4 x 5.50 = 4 2/4 x 5 1/2 = 18/4 x 11/2 = 198/8 = 24 6/8 = 24.75
2 1/4 x 7.25 = 2 1/4 x 7 1/4 = 9/4 x 29/4 = 261/16 = 16 5/16 = 16.312 (round it and get 16.31)
38 + 24.75 + 16.31 = 79.06
Amber, a very fit snail, moved 3/7
yard in an hour. She challenged the other snails to try to do better.
Minnie moved half as far as Amber. Enter how far Minnie went.
Minnie went
yard(s).
Answers
Answer: Minnie went 0.2142 yards in an hour.
Step-by-step explanation: If Minnie went half the distance, then you just divide 3/7 by 2.
Answer:
1/7
Step-by-step explanation:
Evaluate 2(5 + x^2)+ y if x = 3 and y = 2
Answers
Answer:
30
Step-by-step explanation:
Start by substituting
2(5+3²) +2 = ___
Parenthesis
3²= 3 · 3 = 9
add that to 5 = 14
2(14) +2 = ___
2 times 14 = 28.
28 + 2 = 30
Answer:
30.
Step-by-step explanation:
2(5+ x^2)+ y
x=3, y=2
Using the given information for x and y and distributing that into the equation, the equation becomes:
2(5+ 3^2)+ 2
Now, use order of operations or PEMDAS (parenthesis, exponents, multiplication, division, addition, subtraction) to solve the problem.
The answer you should get is 30. :,)
a television that usually sells for $499 is on sale for 10% off. what is the discount of the television?
Answers
Answer:
The discount is $49.90 the final price is $449.10
Step-by-step explanation:
Give an example of a sequence whose first term is positive, whose second and third terms are negative, and the rest are positive.
Answers
If you are asking for just an arbitraty sequence, here it goes:
[tex]a_n=\{3,-5,-8,1,1,1,1,\dots\}[/tex]
question 14
if QS is an angle bisector of PQR and PQR = 140, find the measurement of PQS
Answers
Answer:
[tex]B.\angle PQS=70[/tex]
Step-by-step explanation:
[tex]We\ are\ given\ that,\\QS\ is\ the\ angle\ bisector\ of\ \angle PQR\\\angle PQR=140\\Hence,\\QS\ bisects\ \angle PQR\ into\ \angle PQS\ and\ \angle SQR\ which\ are\ both\ equal.\\Hence,\\\angle PQS\ = \angle SQR\\As\ \angle PQR=\angle PQS\ + \angle SQR\\140=\angle PQS\ + \angle SQR\\As\ \angle PQS\ = \angle SQR [Proven]\\140=\angle PQS\ + \angle PQS\\Hence,\\140=2\angle PQS\\\angle PQS=\frac{140}{2} \\\angle PQS=70[/tex]
What is the 70th term of the sequence 5, 7, 9, 11
Answers
Answer:
5 7 9 11 13 15 17 19 21 23 25 27 29 31 33 35 37 39 41 43 45 47 49 51 53 55 57 59 61 63 65 67 69 71 73 75 77 79 81 83 85 87 89 91 93 95 97 99 101 103 105 107 109 110 113 115 117 119 121 123 125 127 129 131 133 135 137 139 141 143 145 147 149 151 i think this should do just count them
Calcular el valor de x en la siguiente figura
Answers
Answer:
demos los
Step-by-step explanation:
11
6
8
17
12
?
19
28
11
Find the missing number
Answers
Answer:
The missing number is 14.
Step-by-step explanation:
Here is the pattern of the numbers
1.) A number.
2.) That number minus 5.
3.) That number plus 2.
4.) The cycle starts over.
17 - 5 = 12
12 + 2 = 14
Therefore, the missing number is 14.
Find the greatest common factor of the terms in the following expression 18x+12xy
Answers
=============================================
Explanation:
Ignoring the variables for now, the GCF of 18 and 12 is 6. This is the largest factor found in both values
18 = 6*312 = 6*2Now let's consider the variables. Both terms have an 'x' in them, but not a y. This means x will be tacked on the 6 we found earlier to get the overall GCF to be 6x.
Note how
18x + 12xy = 6x*3+6x*2y = 6x(3+2y)
Showing we can factor out the GCF using the distributive property.
Please help! Please explain too! Which measurements are possible lengths of a right triangle?
Answers
Answer:
A: 12, 16, 20
Step-by-step explanation:
Use Pythagorean Theorm,
[tex]12^2 + 16^2 = 20^2\\144 + 256 = 400\\400 = 400[/tex]
what is the solution to the system of equations?
A(7, 4 )
B(7, 13/3 )
C(8, 14/3 )
D(9, 7)
Answers
Answer:
d
Step-by-step explanation:
Check whether (x – 1) (x +2) = x + 3 is a quadratic equation or not.
Answers
Answer:
no, it is not
Step-by-step explanation:
STEP 1: Simplify (x−1)(x+2).
[tex]x^2+x-2=x+3[/tex]
STEP 2: Move all terms containing x to the left side of the equation.
[tex]x^2-2=3[/tex]
STEP 3: Move all terms not containing x to the right side of the equation.
[tex]x^2=5[/tex]
STEP 4: Take the square root of both sides of the equation to eliminate the exponent on the left side.
[tex]x=[/tex]±[tex]\sqrt{5}[/tex]
STEP 5: The complete solution is the result of both the positive and negative portions of the solution.
[tex]x=\sqrt{5} ,-\sqrt{5}[/tex]
$599 TV: 12% discount
Answers
Answer:
After the discount $527.12
You save $71.88
Step-by-step explanation:
help me please and you will be legend and nice
Answers
I am offering Brainliest, A like on your answer, and a 5 star review. This should be simple, but I just don't understand.. Please, someone help.
Answers
Answer:
(-4,2)
Step-by-step explanation:
Just had the test for this thing lol.
so what you do is find the point Y.
then subtract 1 from it's x axis then add 2 to it's y axis.
work
before: (-3,0)
-1. +2
after. (-4,2)
hope this helps!
Sara has $180 to spend on a mixture of oranges and bananas. The oranges cost $3 per pound and the bananas cost $2 per pound. What equation can she use to graph a line showing the different amounts of oranges and bananas she can buy for $180?
Explain what does each elements of the equation represent.
pleasee guys i need help
Answers
Answer:
365
Step-by-step explanation:
2+3+180+180=
Can someone help out I’m really slow at this and don’t understand it please:)
Answers
Answer:
2) 160
3) 320
Step-by-step explanation:
you want to find out the slope so use the formula
y₂-y₁/ x₂-x₁ and plug in the numbers
320-80=240
4-1=3
divide 240/3= 80
multiply 80 * (x) so if we try and find x=2 it would be 160
80 * 3 = 240
check your work by multiplying 80 and 4 (320) which is your y value! hope this helps!