Answer:
[tex]x=1[/tex]
Step-by-step explanation:
[tex]1+(3x-3)=1[/tex]
First, you have to take the one that is outside of the Parenthesis and take it to the other side. That would mean it would be this:
[tex]3x-3=1-1[/tex]
1 - 1 is 0
[tex]3x-3=0\\[/tex]
Move the -3 to the other side, which makes it positive;
[tex]3x=3[/tex]
Divide both sides by 3
[tex]x=1[/tex]
If you want to check it, you can replace 1 in the original equation:
[tex]1+(3X1-3)=1[/tex]
[tex]1+(0)=1[/tex]
[tex]1=1[/tex]
So x=1
The measures of the exterior angles of an octagon are x°, 2x", 3x°, 4x °, 6x°, 7xº,
8xº, and 9x °. Find the measure of the largest exterior angle.
Answer:
216
Step-by-step explanation:
Total of octagon amount is 1080, so set it equal.
x + 2x + 3x + 4x + 6x + 7x + 8x + 9x = 1080
45x = 1080
/45 /45
x = 24
Then plug in for largest number.
9 (24) = 216
1: Mr. Farm is at his log cabin at (2,5). Describe the transformation Mr. Farm would take to get to his barn, but he has to stop by his wind mill first.
2: Mr. Farm finally made it to town so he could buy supplies. He is heading back home. How would you describe the transformation of his trip home? Describe transformation of his trip home. Be sure to explain what type of transformation it is and how does the transformation move.
3: Pick three of the four images. Write down the location and it's ordered pairs. (6 points total, 2 pts for each ordered pair).
Ex: School - (2,-8)
Answer:
um i dont know to be honest, but if i were you i'd just guess and hope for the best!!!
Gilligan sees a ship coming close to the shore he's standing on. He wants to determine the distance (segment SD) from the ship to the shore. He walks 130 ft along the shore from point D to point C and marks that spot. Then he walks 23 ft further and marks point B. He turns 90°and walks until his location (point A), point C, and point S are collinear.
Answer the following questions making sure to show all your work.
(a) Can Gilligan conclude that triangle ABC and triangle SDC are similar? Why or why not?
(b) Suppose AB = 50 ft. What is the distance from the ship to the shore? Show all your work and round your final answer to the nearest tenth of a foot.
The two triangles are both right triangles and are both formed by the
intersection of the lines AS and BD and are therefore similar.
Response:
(a) Yes, ΔABC is similar to ΔSDC according AA similarity postulate
(b) The distance from the ship to the shore is approximately 282.6 feet
How can similarity between the triangles used to find the distance SD?(a) Yes, Gilligan can conclude that ΔABC and ΔSDC are similar by
Angle-Angle, AA, similarity postulate.
Reason:
Angle ∠SCD in ΔSDC and ∠ACB in ΔABC are vertically opposite angles,
and they are therefore congruent by vertical angles theorem.
∠SDC = 90° and ∠ABC = 90° therefore ∠SDC ≅ ∠ABC because all 90°
are congruent.
Therefore, two angles in ΔABC are congruent to two angles in ΔSDC,
therefore, ΔABC is similar to ΔSDC according to AA similarity postulate
(b) The ratio of corresponding sides in similar triangles are equal,
therefore;
[tex]\dfrac{BC}{DC} = \mathbf{\dfrac{AB}{SD}}[/tex]
Which gives;
[tex]\dfrac{23}{130} = \dfrac{50}{SD}[/tex]
[tex]SD = \dfrac{130}{23} \times 50 \approx 282.6[/tex]
The distance from the ship to the shore, SD ≈ 282.6 ft.Learn more about triangle similarity postulates here:
https://brainly.com/question/16854084
Find the equation of the line that has a slope of 1 and passes through the point (-3,7) write the equation in point-slope form
Answer:
y - 7 = 1(x + 3)
Step-by-step explanation:
Point-Slope Form: [tex]y-y_1=m(x-x_1)[/tex]
[tex]{\large \textsf{where}\ m\ \textsf{is the slope}}\ \textsf{and}\ {\large{(x_1,y_1)\ \textsf{is the given coordinate.}}[/tex]
Given info:
A line with a slope of 1 and passes through the point (-3, 7).
m = 1x₁ = -3, y₁ =7Substitute the given values into the formula and simplify.
[tex]\implies y-7=1(x-(-3))[/tex]
[tex]\implies y-7=1(x+3)[/tex]
Find x so that the number sentence below is true and explain your answer, referencing the
relevant
properties of exponents. Make sure to show or explain how you got your answer.
5^11 •5x=5^23
Answer:
x = 12
Step-by-step explanation:
5^11 x 5^x = 5^23
All have same bases ( 5 ), so equal all exponents:
11 + x = 23
Now solve:
11 + x = 23
x = 12
Hopefully this helps!
Brainliest please?
Sixty three and sixty three thousandths as in decimals
Look at the triangles shown below.
What is the value of b?
A)6
B)27T3
C)зVT3
D) 3V14
Applying the leg rule, the value of b in the triangles is: C. 3√13.
What is the Leg rule?The leg rule states that where the altitude of a right triangle bisects its hypotenuse, then, hypotenuse/leg = leg/part, of the right triangle.
Given:
Hypotenuse = 4 + 9 = 13
Leg = b
part = 9
Thus:
13/b = b/9
Cross multiply
b² = 9 × 13
b = √(9 × 13)
b = 3√13
Thus, applying the leg rule, the value of b in the triangles is: C. 3√13.
Learn more about the leg rule on:
https://brainly.com/question/10612854
8. The circle below is centered at the point (5,-2) and has a radius of length 4. Write the equation for the circle.
Answer:
(x - 5)² + (y + 2)² = 16
Step-by-step explanation:
Equation of a circle formula: (x - a)² + (y - b)² = r²
where (a, b) is the center of the circle and r is the radius
Given, center = (5, -2) and radius = 4
Substitute this information in the equation of a circle formula.
⇒ Equation of the circle: (x - 5)² + (y + 2)² = 16
whats the surface area of 10m 7m 8m
Answer:
SA = bh + (s1 + s2 + s3)H
Step-by-step explanation:
Answer:
56m
Step-by-step explanation:
I think this is right. I hope!
Which table represents a linear function?
Answer:
Find the slope for each of the points in the table. If all the slopes equal each other, the table represents a linear function. If not, then it's the opposite.
Step-by-step explanation:
(You didn't post the full picture, but I'll try to make sense of your problem and answer anyways.)
A linear function, or a line, has a constant slope. This means that no matter where you are on the line, it was always be "rising" some y and "running" some x. It will never be fluctuating in slope or anything like that because it's a line, not a curve, not a zigzag, etc. Just a line.
How do we observe this in tables? Well, remember that the slope m can be found with the following formula:
[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
where (x1, y1) and (x2, y2) are two points on a line.
So, we can show that all these points have equal slopes to see if they form a line. For example, let's look at the table shown in the picture. We have five points, so let's find the slope for two of them at a time.
First, let's find the slope between (1, 5) and (2, 20).
[tex]m=\frac{20-5}{2-1} \\m=\frac{15}{1} \\m=15[/tex]
The slope between these two points is 15.
Now, let's find the slope between (2, 20) and (3, 45).
[tex]m=\frac{45-20}{3-2} \\m=\frac{25}{1} \\m=25[/tex]
And the slope is ... 25? This can't be right!
Well, it is. This means that these three points can't all form a line, and therefore, all of these points can't form a line. So, the table shown in the picture does not represent a linear function. Do this for the other tables in the question, and you got yourself your answer.
Help please this is maths and answer in
1.
2.
3.
4
Thanku
Answer:
A.) The School Room: $1026
All Class: $955
B.) All Class is cheap by $31
Step-by-step explanation:
Given;The School Room
Chairs = $38Desks = $174Delivery = $26All Class
Chairs = $36Desks = $168Delivery = $35A.)Jack wants to buy 8 chairs and 4 desks
If he buy from The School Room then,
8(38) + 4(174) + 26
304 + 696 + 26 = $1026
If Jack buy furniture from The School Room then it costs $1026
If he buy from All Class then,
8(36) + 4(168) + 35
288 + 672 + 35 = $955
If Jack buy furniture from All Class then it costs $955
B.)
If we compare both shop then,
$1026 – $955 = $31
All Class will be cheap for Jack by $31
-TheUnknownScientist 72
how do you find questions that are unanswered and about math help me please and thanks
you can find some if you scroll down on the page we're on.
They should kinda look like questions in little boxes.
They'll be under the header "New Questions in Mathematics"
don't feel bad, it took me a while too, they kinda blend in & no one would scroll down that far. I hoped this help you or someone else
have a great day :D
20.5 yd 30 Yd Find the area:
Answer:
Area= 615
Step-by-step explanation:
width x height= Area.
30x20.5
in the algebraic expression 7 divided by y , what is the coefficient of y? Explain.
Answer:
The coefficient of y is 0
Step-by-step explanation:
A coefficient is a number attached to a variable. Y has no number attached. The coefficient of y is 0.
A rigid transformation is applied to figure A to produce figure B. Which of the following is true
Rigid transformations do not change the size of a shape
The true statement is that figures A and B are congruent
How to determine the true statementFrom the question, we understand that the transformation is a rigid transformation
This means that the corresponding sides of figures A and B are congruent
Hence, the true statement is that figures A and B are congruent
Read more about transformations at:
https://brainly.com/question/4289712
I need help quick an subscription service mailed 480 magazines. 15% of the magazines arrived late. how many magazines arrived late?
Answer:
72 magazines arrived late
Step-by-step explanation:
Take the total number of magazines and multiply by 15%
480 * 15%
Change the percent to decimal form
480 *.15
72
72 magazines arrived late
4
5. The fifth graders were given sandwiches for lunch
5
during their field trip. Nathan ate of his sandwich,
3
Leroy ate z of his sandwich, and Sofia ate of her sandwich.
Who ate the greatest amount of their sandwich? Explain.
7
8
MATH EXPERTS! Please show all work good amount of points and I will make you brainliest thank you
Alright here it is. Sorry didn't have space so I put star next to it..
⭐ Answered by Foxzy0
⭐ Brainliest would be appreciated, I'm trying to reach genius! ⭐
⭐ If you have questions, leave a comment, I'm happy to help! ⭐
Answer and Step-by-step explanation:
For these questions, this Exit Ticket is asking for you to take the information given and to formulate it into a bar chart, while labeling our chart as well. I have included my bar chart graph in the attachment below.
I hope that this helps.
suppose you roll a special 12 sided die. what is the probabilty that the number rolled is a 9 or a 10
Answer:
16.67%
Step-by-step explanation:
2 possibilities out of 12 = 2/12 which equals to a percentage of 16.67%
a market has veggies for sale below is the table that shows the number of each fruit they sold what percentage of carrots did the market sell
Solve the equation.
-1 2/7 ÷ 1 13/14 =
Answer:
-4/13
Step-by-step explanation:
just using your calculator and you can get the answer.
Find the ordered pair/ cordinate for each number using the equation y=3x-9
Answer:
well, pick any old x, like for example x = 0
find y
0 - y = 9
y = -9
so
(0 , - 9)
now pick another x, like x = 1
3 - y = 9
y = 3-9 = -6
so
( 1 , - 6 ) and on and on until bored
Step-by-step explanation:
SOLVE ASAP NO LINKSSSSS
Switch\:sides
-9s<-72
\mathrm{Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)}
\left(-9s\right)\left(-1\right)>\left(-72\right)\left(-1\right)
\mathrm{Simplify}
9s>72
\mathrm{Divide\:both\:sides\:by\:}9
\frac{9s}{9}>\frac{72}{9}
Simplify
s > 8
[tex]\\ \tt\longmapsto -72>-9s[/tex]
[tex]\\ \tt\longmapsto 9s>72[/tex]
[tex]\\ \tt\longmapsto s>8[/tex]
Or
[tex]\\ \tt\longmapsto s\in(8,\infty)[/tex]
I am the name for the open circle between two functions that tells who is "plugged into" who. I distinguish
the outer shell from the inner functions. Some say my name sounds like a musical piece or a notebook. Who
am I?
Answer:
composition,
function composition,
composite function
Step-by-step explanation:
(f ° g)(x) = f(g(x))
So we would work on this by putting all of g(x) into the x in the f(x).
GIVING BRAINILEST! Find the perimeter of the figure!
What is slope and intercept with the y axis
Answer:
Slope = 3
y-intercept = 2
Step-by-step explanation:
Slope = 3
y-intercept = 2
Megan needs 4200 sheets of paper how many packs should she buy if each pack has 500 sheets
Answer:
she will need 8.4 so just get 9
If each box has 500 sheets, Megan should purchase 9 packs if she needs 4200 sheets of paper.
What are arithmetic operations?The area of arithmetic operations encompasses the study of numbers and their operations, which are essential to all other branches of mathematics. These systems use the four operations of addition, subtraction, multiplication, and division as their foundation.
It is given that, Megan purchases 4200 sheets of paper because each box has 500 sheets.
Suppose x be the number of packs,
Applying division to select how to share pack equitably among a group, divide the object into equal halves or groups.
The number of packs needed will be,
x=4200/500
x=8.4 ≈ 9
Thus, she should buy 9 packs if each pack has 500 sheets.
Learn more about the arithmetic operations here,
https://brainly.com/question/25834626
#SPJ2
Last week Connor and his roommates ate 1 1/6 cartons of yogurt, and this week they ate 3 cartons. How much more yogurt did they eat this week compared to last week?
Step-by-step explanation:
last week they ate 1 1/6 = 6/6 + 1/7 = 7/6 cartons.
this week they ate 3 = 3×6/6 = 18/6 cartons.
so, how much more did they eat ?
it is not fully clear to me, if we need to find the absolute difference in cartons, or if we need the factor between both amounts (like "how many times did they eat more ?").
to be safe I give you both.
in absolute difference :
18/6 - 7/6 = 11/6 cartons = 1 5/6 cartons more.
as factor :
7/6 × x = 18/6
7x = 18
x = 18/7
they ate 18/7 = 2 4/7 times more
Which ordered pairs are solutions to the inequality graphed in the coordinate plane?
Select all that apply
A. (-3 , -8)
B. (0 , 11/4)
C. (2 , 10)
D. (3 , 2)
E. (4 , 3/2)
What is previous number of 5 digits snallest number
Answer:
10,000
Step-by-step explanation: