If 5k = -25, then 5k - 1 = -25 - 1
Segment proof
Answers
Related Questions
Timothy has 72 coins, consisting of quarters, dimes, nickels, and 8 pennies. Samantha comes and takes all of his quarters, takes 3 of his dimes, takes 2 of his nickels, and leaves him with one penny, leaving him with 45 coins. What is the value of quarters that Samantha took?
Can someone explain how to solve this problem?
Answers
Answer:
The total value of quarters that Samantha took is $3.75
Step-by-step explanation:
Timothy has 72 coins.
He has:
Q quarters
D dimes
N nickels
8 pennies.
Then:
Q + D + N + 8 = 72
Samantha takes:
3 dimes
2 nickels
Leaves him with one penny, then she takes 7 pennies.
all of the quarters, so she took Q quarters.
So now Timothy has 45 coins.
And for each particular type of coin, Thimothy now has:
D - 3 dimes
0 quarters
1 penny
N - 2 nickels
And we know that he has 45 coins, then:
(N - 2) + 1 + ( D - 3) = 45
Which we can rewrite as:
N + D + 1 - 2 - 3 = 45
N + D - 4 = 45
N + D = 45 + 4 = 49
So we have two equations:
Q + D + N + 8 = 72
N + D = 49
Now we can replace the second equation into the first one:
(N + D) = 49
then:
Q + D + N + 8 = 72
Q + (D + N) + 8 = 72
Q + 49 + 8 = 72
Now we can solve this for Q
Q = 72 - 49 - 8 = 15
So Samantha took 15 quarters.
Each quarter has a value of $0.25
Then Samantha took:
15*$0.25 = $3.75
The total value of quarters that Samantha took is $3.75
The sum of a number and 2 is 6 less than twice that number
Answers
Step-by-step explanation:
The first thing we have to do before we can actually do the problem is turn the words into a math equation.
If we use x as our "number," we see that "The sum of a number and 2" can also be written as x+2. The word "Is" almost always means (=), so now we have (x+2) = . The very last part, "6 less than twice that number," means 2x - 6.
So, our whole equation is, (x + 2) = (2x - 6), which simplifies to -x = -8, or
x = 8
Answer:
y = 8
Step-by-step explanation:
number = y
y + 2 = 2y - 6
y + 2 - 2 = 2y - 6 - 2
y = 2y - 8
y - 2y = 2y - 2y - 8
- y = - 8
- y × - 1 = - 8 × - 1
y = 8
Find the missing length of the following with midsegment drawn
Answers
Answer:
18
Step-by-step explanation:
RQ = (22+14)/2 = 36/2 = 18
Answer:
QR = 18
Step-by-step explanation:
The midsegment QR is half the sum of the parallel bases, that is
QR = [tex]\frac{JM+KL}{2}[/tex] = [tex]\frac{22+14}{2}[/tex] = [tex]\frac{36}{2}[/tex] = 18
428363939+42724289292952926263938
Answers
Answer:
4.2724289e
+22
Step-by-step explanation:
mzmznznxnxnznxn no n n j j h h h h h h hh h h &
Triangle ABC is a right triangle.
Triangle A B C. Angle A is x degrees, B is 90 degrees, C is (x minus 10) degrees. The exterior angle to angle C is (2 x + 40) degrees.
Which equations can be used to find the value of x? Check all that apply.
x + 90 + (x minus 10) = 180
x + 90 + (2 x + 40) = 180
2 x + 80 = 180
x + 90 = 2 x + 40
(x minus 10) + 90 = 2 x + 40
Answers
Answer:
x + 90 + (x minus 10)= 180° can be used to find the value of x.
Answer:
A) X+90+ (x-10) - 180
C) 2x+80 = 180
D) x+90 = 2x+40
Step-by-step explanation:
Yesterday, the snow was 2 feet deep in front of Archie’s house. Today, the snow depth dropped to 1.6 feet because the day is so warm. What is the percent change in the depth of the snow?
The percent change in the depth of snow from yesterday to today is
%.
Answers
100% - 80% = 20%
So the snow depth decreased 20%.
what is a recursive formula for the sequence 99.4, 0, –99.4, –198.8, where f(1) = 99.4?
Answers
Answer:
this looks complicated
Step-by-step explanation:
A is the point (0, 8) and R is the point (5, 6). Find the point Con the y-axis such that angle ABC is 90°
Answers
Answer:
(0, -13/2) or (0, -6.5)
Step-by-step explanation:
a point on the y-axis means x=0.
so, the solution is a point (0, y).
and I assume (5, 6) is not R but is B.
for the angle at B being 90 degrees, we are looking at a right-angled triangle, and basic Pythagoras has to be true :
c² = a² + b²
with c being the Hypotenuse (the line opposite of the angle with the 90 degrees).
in our case, this c is the connection from A to C.
and a and b are the connections AB and BC.
so,
AC² = AB² + BC²
the distance between two points is again calculated via Pythagoras, where the differences in x and y directions are the sides, and the distance itself is the Hypotenuse.
so, we get
(0-0)² + (8-y)² = (0-5)² + (8-6)² + (5-0)² + (6-y)²
(8-y)² = -5² + 2² + 5² + (6-y)²
64 - 16y + y² = 25 + 4 + 25 + 36 - 12y + y²
64 - 16y + y² = 90 - 12y + y²
64 - 16y = 90 - 12y
-26 = 4y
y = -26/4 = -13/2 = -6.5
Parker is planning to build a playhouse for his sister.The scale model below gives the reduced measures for width and height. The width of the playhouse is 22 centimeters and the height is 10 centimeters. Not drawn to scale The yard space is large enough to have a playhouse that has a width of 3.5 meters. If Parker wants to keep the playhouse in proportion to the model, what cross multiplication of the proportion should he use to find the height
Answers
Answer:
[tex]10 \times 3.5 = 22x[/tex]
Step-by-step explanation:
It is given that:
Parker wishes to construct a [tex]\text{playhouse}[/tex] for his sister. The width and the height of the house is not scaled to the yard space.
So the width of the play house = 22 centimeters
The height of the play house = 10 centimeters
Bu the space in the [tex]\text{yard is large}[/tex] enough that a play house can be constructed so that it have a width of [tex]3.5[/tex] meters.
So the cross multiplication of the proportion that parker uses to find the height of the playhouse is given by : [tex]10 \times 3.5 = 22x[/tex]
Answer:
The answer is C, (10) (3.5) = 22 x
Hope this helped!
P. S. : Can I get brainliest please?
In right triangle ABC, if AC = 5/13 and AB = 1, what is the length of BC?
Answers
Answer:
BC = [tex]\frac{12}{13}[/tex]
Step-by-step explanation:
Using Pythagoras' identity in the right triangle
BC² + AC² = AB²
BC² + ([tex]\frac{5}{13}[/tex] )² = 1²
BC² + [tex]\frac{25}{169}[/tex] = 1 ( subtract [tex]\frac{25}{169}[/tex] from both sides )
BC² = [tex]\frac{169}{169}[/tex] - [tex]\frac{25}{169}[/tex] = [tex]\frac{144}{169}[/tex] ( take square root of both sides )
BC = [tex]\sqrt{\frac{144}{169} }[/tex] = [tex]\frac{12}{13}[/tex]
Evaluate:64 1/3 Question 11 options: A) 8 B) 16 C) 4 D) 2
Answers
Answer:
4
Step-by-step explanation:
64^1/3
cube root of 64 is
4
Answer:
C
Step-by-step explanation:
Using the rule of exponents
[tex]a^{\frac{1}{3} }[/tex] ⇔ [tex]\sqrt[3]{a}[/tex] , then
[tex]64^{\frac{1}{3} }[/tex] = [tex]\sqrt[3]{64}[/tex] = 4 → C
43. Para determinar la altura de un árbol nos apoyamos en los siguientes triángulos semejantes que se forman entre el árbol y
una lámpara
00
D
*ACB= 30°
3m
E
20 m
5 m
¿Cuál es la altura del árbol?
ООО
A. BA = 12 m
B. BA = 15 m
C. BA = 33.33 m
D. BA = 60 m
O
Answers
Respuesta:
A.) BA = 12 m
Explicación paso a paso:
Usando triángulos similares:
BA / AC = DE / EC
BA = x; AC = 20; DE = 3; EC = 5
POR ESO ; TENEMOS :
x / 20 = 3/5
Multiplicar en cruz:
5 * x = 20 * 3
5 veces = 60
5x / 5 = 60/5
x = 12
What is the area for the circle?
Answers
Answer:
108 squared centimeters
Step-by-step explanation:
Let's exchange π for 3:
area = πr^2
= 3r^2
Now, as you can see, the radius of this circle is 6. Let's plug in the value of r:
area = 3r^2
= 3 · 6^2
Simplify 6^2:
area = 3 · 6^2
= 3 · 36
Multiply 3 by 36:
area = 3 · 36
area = 108
108 squared centimeters
Eliana claims she has discovered a method for determining the general form equation of a line
The line Ax + By + C = 0 will always be perpendicular to the line Bx - Ay + C = 0.
Is Eliana's method reasonable? Explain why or why not?
Answers
Answer:
The answer is below
Step-by-step explanation:
The general form of a line is given by:
Ax + By + C = 0
The slope intercept form of a line is give by:
y = mx + b;
where m is the slope and b is the y intercept
Given a line with equation Ax + By + C = 0; the slope of the line can be gotten by representing in slope intercept form, hence it becomes:
By = -Ax - C
y = (-A/B)x - C/B
The slope is -A/B
For a line with equation Bx - Ay + C = 0:
Ay = Bx + C
y = (B/A)x + C/A
the slope is B/A
Two lines are said to be perpendicular if the product of the slopes is -1. Hence:
-A/B * B/A = -1; hence the two lines are perpendicular
Which best describes the transformation that occurs from the graph of f(x) = x2 to g(x) = (x 3)2 4?left 3, up 4right 3, down 4left 3, down 4right 3, up 4
Answers
Answer:
Right 3, Down 4
Step-by-step explanation:
Given
[tex]f(x) = x^2[/tex]
[tex]g(x) = (x + 3)^2 - 4[/tex]
Required
The transformation from f(x) to g(x)
When a function is translated up by h units, the rule is:
[tex](x,y) \to (x + h,y)[/tex]
So, we have:
[tex]f'(x) = (x + h)^2[/tex]
By comparison, h = 3. So:
[tex]f'(x) = (x + 3)^2[/tex]
When a function is translated down by h units, the rule is:
[tex](x,y) \to (x,y - h)[/tex]
So, we have:
[tex]g(x) = f'(x) -h[/tex]
By comparison, h = 4. So:
[tex]g(x) = (x + 3)^2 - 4[/tex]
Hence, the transformation is: 3 units right and 4 units down
Which is true about the solution to the system of inequalities shown?
y > 3x + 1
y < 3x – 3
Answers
they don't share any points
that's one thing, but I don't know what your options are of course.
see screenshot for illustration of the inequalities
Apply the distributive property to factor out the greatest common factor.
44+48=
Answers
Answer:
(40+4)+(40+48)
=40+(4+8)+4+8(40)
=44+48+12×40
if u add all
=104×40
=4160
Step-by-step explanation:
Please help I’ll give brainliest if you explain.
Answers
Answer:
B
Step-by-step explanation:
there are four girls in total, and Martina is most probably a girl too. only 1 girl out of the four girls will be chosen so probability is 1/4
i don’t know how to solve this
Answers
Answer:
? = 63
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
cos ? = adj/ hyp
cos ? = 6/13
Taking the inverse cos of each side
cos^-1 (cos ?) = cos^-1 (6/13)
? = 62.51357
To the nearest degree
? = 63
SEE QUESTION IN IMAGE
Find the mean of the distribution above (a) ½ (b) 1 (c) 3 (d) 2
Answers
Answer:
d) 2Step-by-step explanation:
Total number of oranges:
0*5 + 1*8 + 2*6 + 3*6 + 4*3 + 5*2 = 60Number of baskets:
5 + 8 + 6 + 6 + 3 + 2 = 30Mean of the distribution of oranges:
60/30 = 2Correct choice is d
Find the missing term and the missing coefficient.
(6a −_)5a =_a2 − 35a
Answers
Answer:
[tex](6a-7)5a=30a^2-35a[/tex]
Step-by-step explanation:
Message if you want a detailed explanation.
helpp me solve it and pls explain
tyyy
Answers
Answer:
2=124 124/2
4=248 248/4
5=310 310/5
8=496 496/8
Step-by-step explanation:
40 + 22 = 62
62 x 2 = 124
62 x 4 = 248
62 x 5 = 310
62 x 8 = 496
i think
Which expression is equivalent to 206.230?
O a. 2 x 100 + 6 x 10 + 2 x 1 + 3 < 1/10
O b. 2 x 100 + 6 x 1 + 2 x 1/10 + 3 < 1/100
O c. 2 × 10 + 6 x 1 + 2 x 1/10 + 3 * 1/100
Answers
Answer:
b.
Step-by-step explanation:
hsgusuhsghshjsuhsyh
HALP ME PLS
The following dot plot represents two data sets, A and B.
Which of the following statements is not true?
The range of the two sets is the same.
The difference between the median of each set is 40.
Set B has a higher mean than set A.
The mode of set A is 50 less than the mode of set B.
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The first stuation is not true because when we look at X which marks it's number and then collect all number is not like B Data. For example, set a has 5x*10+7x*20+2x*30+......... and for set B has 2x*20+8x*70 +.......... the two set hasn't same point
I need help solving
Answers
lus
Find the probability that a randomly
selected point within the circle falls
in the white area.
r = 4 cm
4 √2cm
[? ]%
Answers
Answer:
1-[tex]\frac{2 }{\pi }[/tex] = 1- .64 = .36 = 36%
[tex](4\sqrt{2}) ^{2} = 32\\[/tex]
[tex]\pi 4^{2}[/tex]= 16[tex]\pi[/tex]
[tex]\frac{32}{16\pi }[/tex]= [tex]\frac{2 }{\pi }[/tex]
Step-by-step explanation:
Three times one number added to another number is 39. Twice the first number minus the other is 6. What are the numbers?5
Answers
Answer:
Step-by-step explanation:
2x - y = 6 ............(equation 2)
By subtracting equation 1 - equation 2
5x = 45
Therefore, x = 45/5 = 9
To find y, substitute for x in equation 2
2(9) - y = 6
18 - y = 6
y = 18 - 6
y = 12
Therefore, the two numbers are 9 and 12.
how many 5 cents can u get from $1.25?
Answers
Answer:
25
Step-by-step explanation:
5 cents = 0.05
1.25 / 0.05 = 25
let me know if i'm wrong
Answer:
25
Step-by-step explanation:
$1.25=125cents
125/5 = 25
f(x) = – 2x
g(x) = 8x2- 5x+7
Find (f.g)(x).
Answers
f(x) = -2x
-2x = 0
x = 0/-2
x = 0
Now putting 0 as x in g(x)
g(x) = 8x^2 - 5x + 7
g(0) = 8(0)^2-5(0)+7
= 0 - 0 + 7
= 7
Answered by Gauthmath must click thanks and mark brainliest
What is the factored form of 1,458,43 – 2?
Answers
Answer:
Factors of 1458 are 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486, 729, 1458. There are 14 integers that are factors of 1458. The biggest factor of 1458 is 1458. Positive integers that divides 1458 without a remainder are listed below.
