Answer:
x = 8.7
Step-by-step explanation:
The triangles are congruent, which means that the sides are proportional to each other. Line DE and line BE are proportional to each other. This means that:
8 = 12
We can simplify this down to
2 = 3
Now that we have this proportion we can apply it to Lines AE and EC
2(13) = 3x
26 = 3x
8.67 = x
Therefore x is equal to 8.67 (or 8.7 rounded)
Check:
8/12 = 0.6667
8.6667/13 = 0.6667
Since both are the same, the answer is correct.
I hope this helps!!
- Kay :)
The ratio of the length to the width of the rectangle is 10:6. Of the perimeter of the rectangle is 160 meters, find the measure of the width. Show your work
Answer:
60 meters, see explanation.
Step-by-step explanation:
We know that the ratio of length : width is 10 : 6. So for every 10 meters of length, we also have 6 meters of width. This problem is much easier since we are given the P = 160 meters.
You can see that if we multiply the ratio by ten, we get 100 : 60, where 100 + 60 = 160 total meters. From here, it is clear that the width would be 60 meters.
Mark reduce the size of a photo to a height of 4 inches. What is the new width if it was originally 16 inches tall and 8 inches wide?
Answer:
Step-by-step explanation:
new height is ¼ of original height
new width = ¼×8 = 2 inches
Answer:
2 inches
Step-by-step explanation:
To find the new width, find the scale factor that was used to reduce the photo.
Since 16 divided by 4 is 4, 4 is the scale factor.
To find the new width, divide 8 by 4:
8/4
= 2
So, the new width is 2 inches
Find the perimeter of the triangle whose vertices are the following specified points in the plane.
(5,6), (4,1) and (-4,2)
Answer:
23 units
Step-by-step explanation:
Let the vertices of the triangle be A(5,6), B(4,1) and C(-4,2)
Perimeter of the triangle = AB + AC + BC
AB = √(5-4)²+(6-1)²
AB = √1²+5²
AB = √1+25
AB = √26
For BC where B(4,1) and C(-4,2)
BC = √(4-+4)²+(1-2)²
BC = √8²+1²
BC = √64+1
BC = √65
For AC where A(5,6) and C(-4,2)
AC = √(5+4)²+(6-2)²
AC = √9²+4²
AC = √81+16
AC = √97
Perimeter = √97 + √26 + √65
Perimeter = 9.85+5.09+8.06
Perimeter = 23
Hence the perimeter of the triangle is approx 23 units
what is the interest on RS. 1000 at 10 p.c.p.a for 1 year.
Answer:
Interest wil be 10% of 100 which is 10
So, interest will be Rs.10
And total amount to be payed will be 100+10 which is Rs.110
Answer:
Interest= Rs. 10
Step-by-step explanation:
Interest of Rs.100 on 10 p.c.p.a is 10% of 100
i.e., 100*10/100 = 10
Thus we have 10 as the interest
Which of the following is not one of Euclid’s postulates?
1.) A circle may be described with any given point as its center and any distance as its radius.
2.) All right angles are congruent.
3.) All complementary angles form a right angle.
4.) A straight line may be drawn from any given point to any other.
Answer:
3.) All complementary angles form a right angle.
hope this helps you :)
"All complementary angles form a right angle" is not Euclid's postulates. Therefore, option C is the correct answer.
We need to identify which of the given option is not one of Euclid’s postulates.
What are Euclid’s postulates?A statement, also known as an axiom, is taken to be true without proof. Postulates are the basic structure from which lemmas and theorems are derived. The whole of Euclidean geometry, for example, is based on five postulates known as Euclid's postulates.
Postulate 1: A straight line may be drawn from any one point to any other point.
Postulate 2:A terminated line can be produced indefinitely.
Postulate 3: A circle can be drawn with any centre and any radius. Postulate 4: All right angles are equal to one another.
From the about options we can draw a conclusion that "All complementary angles form a right angle" is not Euclid's postulates.
Therefore, option C is the correct answer.
To learn more about Euclid's postulates visit:
https://brainly.com/question/14791269.
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3x^2-24x+50=0
help i write a test!!!
Answer:
2.8 i think
Step-by-step explanation:
fin the value of x inthe figure below
Some help ppplllsssss
Answer:
the answer is b
Step-by-step explanation:
Side Angle Side
PLS HELP URGENT!! PLEASEE SIMPLE FRACTIONS question in pic
Answer:
I think it is 13/15 (0,8666666...) but I am not sure
Answer:
12/15 or if u simplify it then you'll get 4/5
Step-by-step explanation:
3 2/3 multiplied by 5 bc u would need to find an equivalent fraction then 3 2/3 will turn into 55/ 15 and 2 4/5 will be multiplied by 3 and turned into 43/15. After that then u would substract 55/15 by 43/15 and u will end up with 12/15 and if simplified then it would be 4/5
In the diagram of circle M shown, the measure of major arc PRQ=268 . Which of the following
is the measure of angle PRQ ?
Step-by-step explanation:
The Answer is 46
The measure of Arc PRQ is 268. Another part of the arc is PQ. PRQ+PQ forms a full circle In which a circle has 360 degrees. Using that
[tex]268 + x = 360[/tex]
[tex]x = 92[/tex]
Since we are asked to the measure of PRQ and it is inscribed in arc PQ. It is half of PQ so the answer is
[tex]92 \div 2[/tex]
which is 46.
275 students brought their lunch. Which was 25% of the students. How many students went on the trip?
Answer:
1,100
Step-by-step explanation:
Wow that's a lot of students. Anyway, 25% is one fourth of the 100%, so we multiply 275 by 4 and we get 275.
PLEASE HELP ME ASAP!!!!!! USE THIS LINK I WILL GIVE BRAINLEAST
https://brainly.com/question/21436005
Answer:
okie
Step-by-step explanation:
Answer:
Ok
Step-by-step expl
Linda bought a new rug that cost r dollars. She use a coupon for 20% discount and sales tax of 10%. If there was a shipping fee of $50 that was applied after the discount and tax , Which of the following expressions show the total amount of money that linda paid for the rug
ayo so like i'm doing logarithms and i need help how do you solve 3(5)^x=192 for the variable thanks
Answer:
Exact Form:
x = ln ( 64 )/ ln ( 5 )
Decimal Form:
x = 2.58405934 …
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Answer:
Step-by-step explanation:
Start by dividing both sides by 3
5^x = 192/3
5^x = 64
Now take the log of both sides
log(5^x) = log(64)
Bring down the power
x log(5) = log(64)
Find the logs
x * 0.69897 = 1.8062
Divide
x = 1.8062 / 0.69897
x = 2.5841
Only the smartest person in their math class can help me with this difficult problem!!!
Step-by-step explanation:
[tex] \tt{(5 {x}^{3} - 3x + 6) - (2 {x}^{2} - 4x + 8)}[/tex]
While subtracting , the sign of each term of second expression changes & remove the parentheses.
⟶ [tex] \tt{5 {x}^{3} - 3x + 6 - 2 {x}^{2} + 4x - 8}[/tex]
Combine like terms. Like terms are those which have the same base. Only coefficients of like terms can be added or subtracted.
⟶ [tex] \tt{5 {x}^{3} - 3x + 4x + 6 - 8 - 2 {x}}^{2} [/tex]
⟶ [tex] \tt{5 {x}^{3} + x - 2 - 2 {x}^{2} }[/tex]
In standard from , the expression should be written in such a way that the power of variables goes from highest to lowest.
[tex] \red{ \boxed{ \boxed{ \tt{Our \: final \: answer : \boxed{ \tt{5 {x}^{3} - 2 {x}^{2} + x - 2}}}}}}[/tex]
Hope I helped ! ♡
Have a wonderful day / night ! ツ
▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁
Answer:
I'm the smartest person in my math class.
Step-by-step explanation:
While subtracting , the sign of each term of second expression changes & remove the parentheses.
⟶ 5x³-3x +6-2x²+4x-8
Combine like terms. Like terms are those which have the same base. Only coefficients of like terms can be added or subtracted.
⟶ 5x³-3x+4x+6-8-2x²
⟶ 5x³+x-2-2x²
In standard from , the expression should be written in such a way that the power of variables goes from highest to lowest.
How do i solve for this?
9514 1404 393
Answer:
97.42 square units
Step-by-step explanation:
The area of a sector is given by ...
A = (1/2)r²θ
where r is the radius (12.2) and θ is the central angle in radians. Here, you're given the central angle as 75°, so you need to convert that to radians.
75° = (75°)×(π/180°) radians = (5/12)π radians
Then the area is ...
A = (1/2)(12.2²)(5π/12) = 744.2π/24 ≈ 97.42 . . . square units
__
Equivalently, you can find the area of the circle in the usual way:
A = πr² = π(12.2²) ≈ 467.59465
Then, multiply by the fraction of the circle that is shaded (75°/360°)
sector area = (467.59465)(75/360) = 94.42 . . . square units
Which is the sum of the first 6 terms of the geometric series?
7+21 +63
Answer:
2,548
Step-by-step explanation:
First, we have to find out the rule. The rule is multiply the previous number by 3 to get the next number.
7x3=21
21x3=63
So, we would continue this pattern until we have the first 6 numbers which are 189, 567, and 1701.
The questions is asking for the SUM of the 6 numbers so you would add the those numbers and do this equation:
7+21+63+189+567+1701= 2548
Hope this helps! :)
PLEASEE HELP THIS IS DUE TODAY
Answer:
The first one is 360 degrees. The second one is 1080.
Step-by-step explanation:
The sum of the interior angles of a quadrilateral are always 360. If you subtract 90 from 360 to get 270. Multiply 270 by 4 to get 1080.
Can anybody help me with this please
Jan is not correct. The opposite of any number will not always be a positive. This is because the opposite of a positive number is negative and the opposite of a negative number is positive.
Basically, opposite numbers are numbers that are the same distance to 0 on a number line. If we were to have a positive 1, the opposite of that number would be a -1, because that's equally distant from 0 on a number line.
Answer:
Search up the name of the exit ticket and then u get ur answers
Step-by-step explanation:
PLSSS HELP IM SUPER STUCK!!
A group of students were surveyed to find out if they like playing video games on a console/PC or on a phone/tablet. The results of the survey are shown below: 80 students like playing video games on a console/PC 20 students like playing video games on a console/PC but do not like playing on a phone/tablet 90 students like playing video games on a phone/tablet 40 students do not like playing video games on a console/PC Make a two-way table to represent the data and use the table to answer the following questions. Part A: What percentage of the total students surveyed like both playing video games on a console/PC and on a phone/tablet? Show your work and/or explain your thinking. (5 points) Part B: What is the probability that a student who does not like playing video games on a console/PC also does not like playing on a phone/tablet? Explain your answer. (5 points)
I KNOW PART A BUT IM REALLY STUCK ON PART B PLS HELP!!
Part A:
I got the number of kids in the survey which is 130 and I found 70 which is the amount of kids who like playing on a pc/console. I took 130 and 70 and converted it into a fraction 70/130, I simplified it to 7/13 and used a calculator to get my percentage which I rounded and got 53%
Part B:
I drew a table and just focused on column two. I looked at how many people don't like phone or pc and I found that 10 is how many people like phone and not pc, 30 is people who dont like phone or pc, together its 40, so you need to find what the percentage 30 is of 40, or 3/4, I used a calculator and converted it into a percentage and I got 75%
What is the factorization of the trinomial below?
3x3 - 18X2 + 24x
Answer:
75
Step-by-step explanation:
Answer:
3x3 - 18×2 + 24x = 75
Step-by-step explanation:
my mind is my friend
The diameter of a circle is 14km. What is the circles circumference?
Answer:
Step-by-step explanation:
c=d[tex]\pi[/tex]
c=14x3.14
c=43.96
ill give 18 points!! please help me :))
Answer:
Step-by-step explanation:
3. 10x + 6 = 8x
8x = 10x + 6
-2x = 6
x = -3
4. y = 8(1) - 5= 8 - 5 = 3
y = 8(2) - 5 = 16 - 5 = 11
y = 8(5) - 5 = 40 - 5 = 35
y = 8(0) - 5 = 0 - 5 = -5
y = 8(-1) - 5 = -8 - 5 = -13
[tex]10x + 6 = 8x[/tex]
[tex]6 = 8x - 10x[/tex]
[tex]6 = - 2x[/tex]
[tex]6 \div - 2 = x[/tex]
[tex] - 3 = x[/tex]
Number 4 :[tex]y = 8x - 5[/tex]
When [tex] x = 1, y = \bold{ 3} [/tex]
[tex]y = (8 \times 1)- 5[/tex]
[tex]y = 8 - 5[/tex]
[tex]y = 3[/tex]
When [tex] x = 2, y = \bold{ 11} [/tex]
[tex]y = (8 \times 2)- 5[/tex]
[tex]y = 16 - 5[/tex]
[tex]y = 11[/tex]
When [tex] x = 5, y = \bold{35} [/tex]
[tex]y = (8 \times 5)- 5[/tex]
[tex]y = 40 - 5[/tex]
[tex]y = 35[/tex]
When [tex] x = 0, y = \bold{-5} [/tex]
[tex]y = (8 \times 0)- 5[/tex]
[tex]y = 0 - 5[/tex]
[tex]y = - 5[/tex]
When [tex] x = -1, y = \bold{-13} [/tex]
[tex]y = (8 \times - 1)- 5[/tex]
[tex]y = - 8 - 5[/tex]
[tex]y = - 13[/tex]
Given f(x) = -3x + 5, solve for x when f(x) = -4
Answer:
3
Step-by-step explanation:
Given
f(x) = - 3x + 5
f(x) = - 4
-3x + 5 = - 4
- 3x = - 4 - 5
- 3x = - 9
x = 3
Hope it will help :)
Answer:
x=3
Step-by-step explanation:
i believe it's like this, i am not sure
Y= -3x +5
-4= -3x+5
subtract 5 on both sides
-9= -3x
divide -3 on both sides
x=3
angles and triangles
Answer:
x=120
y=60
z=60
Step-by-step explanation:
What is the Answer?
-4x+35>2
Answer:
I don't know........................
Answer:
x < 33/4
Step-by-step explanation:
1.) -4x+35 > 2 (Move the constant to the right-hand scale side and change its sign)
-4x > 2 - 35
2.) -4x > 2 - 35 (Calculate the difference)
4x > -33
3.) -4x > -33 (Divide both sides of the inequality by -4 and flip the inequality sign)
x < 33/4
A city has 18 radio stations, including 9 oldies stations.
What is the probability that a randomly chosen radio station in this city is an oldies station?
Write your answer as a fraction or whole number.
The student council at Oxford High School is making T-shirts to sell for a fundraiser, at a price of $12 apiece. The costs, meanwhile, are $10 per shirt, plus a setup fee of $130. Selling a certain number of shirts will allow the student council to cover their costs. How many shirts must be sold? What will the costs be?
Answer:
Number of shirts to breakeven = 65 shirtsCost of breakeven shirts = $650Step-by-step explanation:
First find the profit they will make from each shirt:
= Selling price - Cost price
= 12 - 10
= $2
They need to cover the cost of setting up which is $130. The number of shirts to sell given a profit of $2 from each shirt is:
= 130 / 2
=65 shirts
Cost of selling 65 shirts:
= 65 * 10 per shirt
= $650
Olivia does chores every Saturday morning. She spends of her time cleaning her room. Of the remaining of her time, she spends of it cleaning the kitchen. How much of Olivia's total time does she spend cleaning the kitchen?
Answer:
4/7 of her total time cleaning the kitchen
Step-by-step explanation:
Olivia does chores every Saturday morning. She spends 1/3 of her time cleaning her room. Of the remaining 2/3 of her time, she spends 6/7 of it cleaning the kitchen. How much of Olivia's total time does she spend cleaning the kitchen?]
Let
x = her total time
Room cleaning = 1/3x
Time remaining = 2/3x
Of the remaining 2/3 of her time, she spends 6/7 of it cleaning the kitchen.
Kitchen cleaning = 6/7 of 2/3x
= 6/7 * 2/3x
= (6*2)x/(7*3)
= 12/21x
= 4/7x
Olivia spent 4/7 of her total time cleaning the kitchen
Hi! Please without looking it up I am doing my writing and speaking test for Spanish and I'm trying to figure out what is "Then" in Spanish...Mind you they use translator detectors so please don't look it up and just help me with it. This is the sentence "There are more tables in the kitchen then in my room." I literally just need to know what "Then" is in Spanish! Thank you!
Answer:
The sentance you but then would be than which would be Hay más mesas en la cocina que en mi habitación but the word then would be entonces and example sentance is entonces iré allí which is then i will go over there
and than is que, an example sentace en lugar de que yo vaya allí which is rather than me going over there
Step-by-step explanation:
Answer:
Hi Alycia! The answer to your question is Hay más mesas en la cocina que en mi habitación
Step-by-step explanation:
☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆
☁Brainliest is greatly appreciated!☁
Hope this helps!!
- Brooklynn Deka
xD