Answer:
16.3
Step-by-step explanation:
Continuously compounding interest formula:
pe^(r*t)
we know that
440e^(.02x)=610
Sovle for x
e^.02x=1.38
.02x=ln1.38
.02x=.3267
x=16.3
Answer:
16.3
Step-by-step explanation:
I got it right
Given that ABCD is a parallelogram with diagonals intersecting at M. Segment PQ is drawn such that P lies on AB and Q lies on DC and it passes through M. Prove that PM is congruent to QM.
Answer:
we thus have enough informnation to prove that the two triangles are congruent. Because of thism, one side of the triangles, Pm which is the congruent side to that of PQ must be equal as well and
PM = QM
Step-by-step explanation:
because it's a parrallelogram, Ad = BC and AB = DC.
P passes through both AB and DC on a diagonal, angles created by P have oppoiste exterior angles of eachother.
the diagonals of AC create congruent angles at DMC and AMB and because P is cutting through them, the angles P cuts at DMQ and QMC are equal to that of AMP and PMB
that being said, we now see that the angles of APM triangle and AMC triangol are equal and because the diagonal of BD is is being cut by AC, which AD is parralel to BC and AB to Dc, we know now that lines AM and MC are congruent
we thus have enough informnation to prove that the two triangles are congruent. Because of thism, one side of the triangles, Pm which is the congruent side to that of PQ must be equal as well and
thus PM = QM
The alternate interior angles formed by the parallel sides and a common
transversal are equal, such that ΔPBM and ΔQDM are congruent.
Correct response;
PM is congruent to QM by CPCTCHow is the congruency of the segments determined?The two column proof is presented as follows;
Statement [tex]{}[/tex] Reason
ABCD is a parallelogram [tex]{}[/tex] Given
AC and DB are diagonals of ABCD [tex]{}[/tex] Given[tex]{}[/tex]
M is the point of intersection of the diagonals [tex]{}[/tex] Given
MB ≅ DM, and AM ≅ CM;[tex]{}[/tex] Properties of the diagonals of a parallelogram
∠PMB ≅ ∠DMQ [tex]{}[/tex] Vertical angles theorem
∠PBM ≅ ∠QDM [tex]{}[/tex] Alternate interior angles theorem
ΔPBM ≅ ΔQDM [tex]{}[/tex] Angle-Side-Angle Congruency post.
PM ≅ QM [tex]{}[/tex] CPCTC
ΔPBM is congruent to ΔQDM by Angle-Side-Angle congruency
postulate, given that they have two angles and an included side that are
congruent.
Therefore;
PM is congruent to QM by Corresponding Parts of Congruent Triangles are Congruent, CPCTC.Learn more about congruency postulates here:
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Nick is buying one DVD player and some DVDs. At Electronics-R-Us, the DVD player is $60 and the DVDs are $12 each. At Movies-n-More, the DVD player is $80 and movies are $10 each. If the cost at the two stores is equal, how many DVDs did Nick purchase?
6−3+4x+1= in one solution
Answer:
4x + 4
Step-by-step explanation:
1. 6 - 3 = 3 + 1 = 4
2. You keep the 4x.
3. So 6−3+4x+1= 4x + 4.
Choose all of the equivalent ratios for 64:80
8:12
32:40
4:5
16:24
120:160
Answer:
32/40, 4/5
Step-by-step explanation:
All these ratios are follow the ratio 4:5 meaning they are equivalent to "64:80".
8:12=0.666667
16"24=0.666667
120:160=0.75
Answer:
32/40 and 4/5
Step-by-step explanation:
I took the test (sadly) :}
Erica watched 1 4 of a movie in the morning, and she watched some more at night. By the end of the day, she still had 2 3 of the movie left to watch. How much of the movie did Erica watch at night?
Answer:
1/6 of the movie
Step-by-step explanation:
which is greater -1/4 or -1/2
Answer:
-1/4 > -1/2
Step-by-step explanation:
-1/2 = -2/4
and -1/4 is greater than -2/4
What is -3/8 ÷ (-1/2)?
Answer:
3/4
Step-by-step explanation:
-3/8÷(-1/2)
-3/8÷-1/2
-3/8÷2/-1
-3×2/-8
-6/-8
-(-6/8)
-(-3/4)
3/4
Answer:
3/4
Step-by-step explanation:
my teacher just told me that answer a few seconds ago
5. The sales tax in New Jersey is 6%.
About how much will a $31 backpack
cost, including sales tax?
A $1.50
C $33
B $30
D $38
Answer:
c. $33
Step-by-step explanation:
$31 * 6% = $1.86
$31+$1.86 = $32.86
$33 is the closest.
Identify the slope (m) given the equation of the line.
y- 1 = -3(x + 2)
I need help please
please help!! i'll give you brainliest, 5 stars, and a thanks
Answer:
2.25 I think
Step-by-step explanation:
Answer:
to find the answer out you need to find out 2/3 of $4.50 and to do that divide it by three. once you have figured that out multiply it by 2 and you will get your answer
Step-by-step explanation:
see above
Translate the given phrase into an algebraic expression.
Three is subtracted from
g
Answer:
g - 3
Step-by-step explanation:
g- 3
Hope that helps!
-2(-6x+2u-3)
-3x-6(-6y+6x)-2y
3(w-6)-5w
PLEAZE SIMPLIFY THEESE FOR ME ASAP please i need this really bad :(
Answer:
c
Step-by-step explanation:
i just did the test this is my first answer please like
48 > –бх
I just says solve
Answer:
x > - 8
Step-by-step explanation:
Given
48 > - 6x
Divide both sides by - 6, reversing the symbol as a result of dividing by a negative quantity.
- 8 < x , thus
x > - 8
Answer:
x >-8
48>−6x
Step 1: Flip the equation.
−6x<48
Step 2: Divide both sides by -6.
[tex]\frac{-6x}{-6}[/tex]< [tex]\frac{48}{-6}[/tex]
x>−8
GCF factoring introduction
Which expression is the result of factoring the expression below by taking out its greatest common factor?
16x^2-8x=?
What is x/-3+20=30? Can someone pls help me
Answer:
x=510
Step-by-step explanation:
You can first combine like terms to get x/17=30
The inverse operation of division is multiplication so you can multiply by 17 on both sides to get your final answer: x=510
Simplify the expression
4 + 3(x + 2)
Answer: 3x+10
You welcome!
Alice arranges 42 blocks in 7 equal rows.how many blocks are in each?
Answer:6
Step-by-step explanation:
The total number of blocks is 42 and the number of rows is 7. So the equation would be 42 ÷ 7. So, 42 ÷ 7 = 6. There are 6 blocks in each row
Please help meeeew il mark brainliest
Answer:
Correct answer is cylinder
Step-by-step explanation:
I just took this
I need help with this question.
The question is :
Find the distance between the points (-4.4, 9.9) and (-4.4, -5.6).
Answer:
14.3 and -1.2
Step-by-step explanation:
To find the distance between both points subtract the larger point from the smallest and that should give you the answer.
Can someone help me with this please
Answer:
[tex]y = - \frac{5}{6} x - 7[/tex]
Step-by-step explanation:
from the chart, you can get 2 points
(0,-7) & (-6,-2)
y=ax+b
b=-7
-2=-6a-7
a=-5/6
You score an 80% on your test. You answer 44
quesitons correctly. How many questions were on the
test?
Answer:
55
Step-by-step explanation:
Convert 1/8 into a decimal and percentage.
A.18 and 18%
B.125 and 125%
C.1.8 and 180%
D.125 and 12.5%
I believe it is D.
brainiest if correct? thnx
 NEED HELP ASAP ILL GIVE YOU BRAINLIST
A family just removed a big tree from their backyard. The diameter of the circular hole left behind is 7 feet across. Approximately how many square feet of grass will the family need if they want to cover the area where the tree once was?
A
22 ft²
B
39 ft²
C
44 ft²
D
154 ft²
The family needs to cover 39ft² area of grass.
What is Area of Circle?The area of a circle is the amount of space enclosed within the boundary of a circle. The region within the boundary of the circle is the area occupied by the circle.
Here, Diameter = 7 ft.
Radius = 7/2 ft. = 3.5 ft.
The Area of Circle = πr²
A = 3.14 X (3.5)²
A = 3.14 X 3.5 X 3.5
A = 38.465 ft² ≈ 39 ft²
Thus, the family needs to cover 39ft² area of grass.
Learn more about Area of Circle from:
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Bo' sister Anna is 3/4 his age minus 1 year. She is 11 years old.Write an equation to find Bo's age.
Answer: 16 years
Step-by-step explanation:
Let's Bo's age be represented by x.
Since Bo' sister Anna is 3/4 his age minus 1 year and she is 11 years old, this can be formed into an equation as:
(3/4 × x) - 1 = 11
3/4x - 1 = 11
3/4x = 11 + 1
3/4x = 12
Multiply both side by 4/3
x = 12 × 4/3
x = 16
Bo's age is 16 years
Answer:
x = 12 × 4/3
Step-by-step explanation:
Which measurement is closest to the circumference of a circle with an area of 36 square feet?
A
12.0 feet
B
21.3 feet
С
103.2 feet
D
113.0 feet
The measurement of the circumference of a circle is 21.3 ft.
What is Circumference of Circle?The circumference is the perimeter of a circle. That is, the circumference would be the arc length of the circle, as if it were opened up and straightened out to a line segment.
Here, given area of circle = 36 ft²
Area of Circle = πr²
36 = 3.14 X r²
r² = 11.46
r = 3.38 ft.
Circumference of Circle = 2πr
= 2 X 3.14 X 3.38
= 21.25 ft. ≈ 21.3 feet
Thus, the measurement of the circumference of a circle is 21.3 ft.
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What is the answer to this equation 20x-6=4
A. One solution: X=__
B. No solution
C. infinitely many solutions
Answer:
A.
x=1/2 or 0.50
What is the value of 53?
Answer:
Value of 53 is 53
Step-by-step explanation:
HELP ME ASAP PLEASE
Find the length of the missing side. Simplify all radicals.
Answer:
160 i think?
Step-by-step explanation:
45 + 25 =70 so 70-180= 160
An exponent fiction has a base of 3/4 and a y- intercept of -5. Write an equation of the exponential function.
please answer asap.
In a school of 450 students, 110 of them are in the choir, 240 of them are in the band and 60 students are in the choir and the band.
Find the probability that a student chosen at random is in the choir or the band or both