Answer:
Either [tex]x = -15[/tex] or [tex]x = 15[/tex].
Step-by-step explanation:
[tex]|x| = \left\lbrace \begin{aligned} & x && \text{if $x \ge 0$} \\ & -x && \text{if $x < 0$}\end{aligned}\right.[/tex].
Hence, there are two possibilities to consider:
Either [tex](x / 5) \ge 0[/tex],Or [tex](x / 5) < 0[/tex].If [tex](x / 5) \ge 0[/tex], then [tex]|x / 5| = x / 5[/tex].
Substitute into the original equation: [tex]x/ 5= 3[/tex]. Solve for [tex]x[/tex]: [tex]x = 15[/tex].
Important: verify that the solution [tex]x = 15[/tex] meet the assumption [tex](x / 5) \ge 0[/tex]. Indeed, [tex](x / 5) = (15 / 5) = 3[/tex] and is indeed non-negative. Hence, the solution [tex]x = 15\![/tex] is valid.
On the other hand, if [tex](x / 5) < 0[/tex], then [tex]|x / 5| = - x / 5[/tex].
Substitute into the original equation: [tex](-x / 5) = 3[/tex]. Solve for [tex]x[/tex]: [tex]x = -15[/tex].
Similarly, verify that the solution [tex]x= - 15[/tex] satisfies the current assumption that [tex](x / 5) < 0[/tex]. Indeed, this assumption is met, and [tex]x = -15[/tex] is also a valid solution.
What is the equivalent of 2/6
Answer:
1/3 3/9. 4/12
Step-by-step explanation:
Answer : 1/3
Explanation : you can divide 2•2=1 and 6•2=3
Starting with the fact that angles 1 and a are a linear pair and that angles b and 2 are also a linear pair, use a two column proof to prove that consecutive interior angles a and bare supplementary ( 5 points)
Answer:
See proof below
Step-by-step explanation:
Two angles that are linear pair sums up to 180°
If angles 1 and a are a linear pair and that angles b and 2 are also a linear pair, then;
1+a = 180....1
2+b= 180....2
Taking the sum of both equations
1+2+a+b = 360°... 3
Note that the sum of the adjacent angles will also be 180° since they also lie on the same straight line, hence;
1+2 = 180°...4.
Substitute 4 into 3
From 3;
1+2+a+b = 360°
(1+2)+(a+b) = 360°
180+(a+b) = 360
a+b = 360-180
a+b = 180
Since the sum of a and b is 180°, this shows that angles are supplementary since the sum of 2 supplementary angles is also 180°
Hence this shows that the consecutive interior angles a and bare supplementary.
Answer:
180-35=145 Degrees
Step-by-step explanation:
TBH I may not have a complete understanding; but what I do know is a straight line (or angel if you so chose) is equal to 180 degrees (NOTE: supplementary- angels are when 2 angels that are added up to 180 degrees) and on my part of the question is: "Starting with the fact that angles 1 and a are a linear pair and that angles b and 2 are also a linear pair, use a two column proof that consecutive interior angles a and b are supplementary".
Now in my whole complete course its asking a bout a ski slope and it gives me the 35 degree angle and we need to figure out the missing angle, we have the same picture as listed above.... knowing that straight lines are 180 degrees I subtracted 180-35 and I got 145 degrees now either i'm right or i'm missing som I did in a few years back but most of my information is basically backed up by some understanding I do know
can someone help me?
9514 1404 393
Answer:
tan B = 12/5cos B = 5/13sin B = 12/13Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you of the applicable ratios:
Tan = Opposite/Adjacent ⇒ tan B = CA/CB = 12/5
Cos = Adjacent/Hypotenuse ⇒ cos B = BC/BA = 5/13
Sin = Opposite/Hypotenuse ⇒ sin B = AC/AB = 12/13
The photo of the question is there.
The composite figure is made up of three simpler shapes. What is the area of the figure?
Please explain how you got your answer, please.
Answer:
C) 55 cm^2
Step-by-step explanation:
(12x3)+(8x2)+(1/2)(3)(2) = 55
The area of composite figure is 55 square cm .
What is area?
The space occupied by a flat shape or the surface of an object is called area.
Formula for the area of triangle[tex]A = \frac{1}{2}bh[/tex]
Where,
A is the area of triangle
b is the base of the triangle
h is the height of the triangle
Formula for the area of parallelogramA = b × h
Where,
A is the area of parallelogram
b is the base of parallelogram
h is the height of the parallelogram
Formula for the area of rectangleA = length × breadth
According to the given figure
Composite figure is made up of triangle, rectangle and parallelogram
Also,
Height of triangle = 3cm
Base of the triangle = 2cm
length of the rectangle = 8cm
breadth of the rectangle = 2cm
Height of the parallelogram = 3cm
Base of the parallelogram = 12cm
Therefore,
Area of triangle = 1/2 × 3 ×2 = 3 square cm
Area of rectangle = 2 × 8 = 16 square cm
Area of parallelogram = 12 × 3 = 36 square cm
Therefore,
Area of the composite figure = area of triangle + area of parallelogram + area of rectangle
⇒ Area of composite figure = 36 + 16 + 13 = 55 square cm.
Hence, the area of composite figure is 55 square cm .
Learn more about area here:
https://brainly.com/question/27683633
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Madeline drew 24 hearts, 20 stars, and 37 circles. What is the ratio of stars to hearts?
Answer:
20:24
Step-by-step explanation:
20 stars
colon is to
24 hearts
What is the difference, in hours and minutes, between these times?
a)
13 40 and 17 15
hours
minutes
b)
11 25 and 14 10
hours
minutes
c)
2:50 am and 7:20 am
hours
minutes
d)
10:35 am and 2:40 pm
hours
minutes
Answer:
a) 3 hrs 35 mins
b) 2 hrs 45 mins
c) 4 hrs 30 mins
d) 4 hrs 5 mins
Step-by-step explanation:
The difference, in hours and minutes, between these times are;
a) 3 hrs 35 mins
b) 2 hrs 45 mins
c) 4 hrs 30 mins
d) 4 hrs 5 mins
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
The difference, in hours and minutes, between these times can be calculated as;
a) 13 40 and 17 15
13 :40 - 17 : 15
= 3 hrs 35 mins
b) 11 :25 and 14: 10
11 :25 - 14: 10
= 2 hrs 45 mins
c) 2:50 am and 7:20 am
2:50 am - 7:20 am
= 4 hrs 30 mins
d) 10:35 am and 2:40 pm
10:35 am - 2:40 pm
= 4 hrs 5 mins
More about the Algebra link is given below.
brainly.com/question/953809
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Plz help asap its due in 40 mins
Answer:
b
Step-by-step explanation:
yes its right
Answer:
1) x=11
2)x=9
3)pr=21
4)fe=68
a 5lb bag of gravel cost $4.55 what is the unit price
Answer:
.91 is the unit price
Step-by-step explanation:
The unit price in terms of pounds is just 4.55/5 which is .91 so the answer is 91 cents.
Square PQRS has vertices P(-3,0), Q(0,4), R(4,1), and S(1,-3). Determine the area of the square.
Answer:
Step-by-step explanation:
length of PQ = √[(0-(-3))²+(4-0)²] = 5
area of square = 5² = 25 units²
Answer:
Step-by-step explanation:
all of them are congruent
Write 1/200 as a percent.
Answer:
0.5%
Step-by-step explanation:
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\text{In order for you to convert fractions into percentages you have DIVIDE}\\\large\text{the NUMERATOR from DENOMINATOR, whatever its outcome is}\\\large\text{MULTIPLY it by 100}[/tex]
[tex]\mathsf{\dfrac{1}{100}=1\div100\rightarrow \bf{0.005}}\\\\\\\mathsf{0.005\times 100 = 0.5\%}\\\\\\\boxed{\boxed{\large\text{Answer: \bf{0.5\%}}}}\huge\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
need it quick 13 points
Answer:
4 And -4 i think it depends
Step-by-step explanation:
4. One printing machine printed 1920 books in 40 hours this week. A
second printing machine printed for 30 hours this week but printed books
at twice the hourly rate of the first machine. How many books did the
second machine print this week?
Kayla works as a hairdresser. She earned $228.50 in tips in five days. If she earned the same amount each day, about how much did
Kayla earn per day? Explain your answer.
Answer: $45.70 per day
Step-by-step explanation:
$228.50/5=$45.70 per day
is the slope of a line that passes through the points (-3, 2) and (-6,5)?
Answer:
slope is -1
Step-by-step explanation:
You buy 3 dinners that are $6.85 each. Before tax and tip, the total is $25.42. Is this total correct? Explain
Answer:
no
Step-by-step explanation:
the total would be $19.55 before tax and tip
Mr. Robles has two kinds of fruit in his basket. The ratio of
apples to oranges in the basket is 3:4.
If there are 9 apples, how many pieces of fruit are in his basket?
A. 21
B. 8
C. 38
D. 12
A. 21
I just took my exam and got it right.
ANSWER PLSSSSSSSSSS
Angles B and C are supplementary. If m∠B = 2x - 40 and m∠C =2x + 20, how would you determine the measure of each angle?
Answer:
B=60 C=120
Step-by-step explanation:
Supplementary angles add up to 180.
so
2x-40+2×+20=180
4×-20=180
4×=200
×=50
B 2(50)-40=100-40=60
C 2(50)+20=100+20=120
the square root of a number increased by 9 is 27 find the number
Answer:
4.24264
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
I don't know how to explain. •-• Sorry!
The pairs of numbers below represent the price of different
quantities of books at 4 stores.
Which pair of numbers represents a proportional relationship?
o 4 books for $24,8 books for $40
o 5 books for $25, 6 books for $36
o 2 books for $14, 5 books for $35
o 3 books for $15, 7 books for $28
Answer:
Option C: 2 books for $14, 5 books for $35
Step-by-step explanation:
A proportional relationship between two quantities would always have a constant of proportionality. Thus,
Constant of proportionality, k = y/x
In this case,
x = quantity of books
y = price
Let's see which pair will have a constant of proportionality:
Option A: 4 books for $24,8 books for $40
24/4 = 6;
40/8 = 5.
No constant of proportionality.
Option B: 5 books for $25, 6 books for $36
25/5 = 5
36/6 = 6
No constant of proportionality.
Option C: 2 books for $14, 5 books for $35
14/2 = 7
35/5 = 7
Constant of proportionality, k = 7.
This pair represents a proportional relationship.
Option D: 3 books for $15, 7 books for $28
15/3 = 5
28/7 = 4
No constant of proportionality.
Firemen are using a 60-foot ladder to reach
the top of a 45-foot building.
B
60 ft
45 ft
a. Calculate the distance from the bottom
of the ladder to the base of the building.
Round your answer to the nearest tenth.
b. Use the cosine ratio to compute the
measure of the angle formed where the
ladder touches the top of the building.
Round your answer to the nearest tenth.
Answer:
This might help a liitle its kind of like the question you are asking.You might not want to give people 5 points for a long question because most of them might not awnser.Step-by-step explanation:
help Jake is a bully. He likes to pick on little kids, but they don’t have a way to defend themselves. They complain to teachers about Jake and tells on him.
Answer:
cool
Step-by-step explanation:
Answer:
tells i think
Step-by-step explanation:
it would be tattling not telling..righttttt?????
Mr. Ryan had 8 meters of cable. He used 300 centimeters to hook up the television in his living room. Then he used 400 centimeters to hook up the television in his office. How many meters of cable did Mr. Ryan have left?
Answer:
1 meter left
Step-by-step explanation:
100 cm makes up a meter so 300 + 400 is 700 which is 7 meters so he has 1 meter left
Answer:
Mr. Ryan has 1 meter or 100 centimeters ethier (answer is correct)
Step-by-step explanation:
How many meters of cable did Mr. Ryan have left?
Let's start here with that for every meter(m) there is 100 centimeters(cm) so in other words 1 meter = 100 centimeters
300 cm=3 m 400 cm=4 m
3m+4m=7m 300cm+400cm=700cm
__________________________________________________________800cm-700cm=100cm
8m-7m=1m
Find the area of an equilateral triangle with a perimeter of 24in.
Answer:
Step-by-step explanation:
[tex]p=24,\ b=\frac{p}{3}=8\\ \\ h=\sqrt{64-16},\ h=\sqrt{48}\\ \\ A=\frac{bh}{2}\\ \\ A=4\sqrt{48}in^2\\ \\ A=16\sqrt{3}in^2\\ \\ A\approx 27.7in^2[/tex]
Help me please. Find AC
Step-by-step explanation:
Since every triangle adds up to 180 degrees the unknown side would be 53!++
Hi mate....
Step-by-step explanation:
This is your answer....
Triangle Fixed Value = 180°
AC = 180 - (30 + 87)
= 180 - 117
= 63°
Checking your answer....
= 117 + 63
= 180°
Hope it helps you....
Mark me as the brainliest.....
FOLLOW ME!
100 Multiplicaciones que me den 100
Answer:
10 por 10
5 por 20
50 por 2
1 por 100
25 por 4
Step-by-step explanation:
1. The sizes of parts sold during one business day in a
department store are 36, 38, 34, 92, 36, 34, 40, 44, 32, 34 . Find the average size of the pants sold.
Here goes the answer. Hope it helps you.
James got an 80 on a math test. By taking a retest in MLC, he increased his score by 15%. What
was his new score ?
Show work please
Answer:
Step-by-step explanation:
80x(1+0.15)=80x1.15
=92
La escalera de un carro de bomberos
puede extenderse hasta una longitud
máxima de 30 m cuando se levanta a un
ángulo máximo de 70°; la base de la
escalera se coloca en el camión a 2 m,
sobre el suelo.
¿Qué altura podrá alcanzar la escalera?
Answer:
sorry I cant understand--
which graph represents the function f(x)=|x|-4?