Answer:
34 degrees
Step-by-step explanation:
the verical angle theorem says any two angles opposite of each other from intersecting lines have the same angle
Mary, Peter, and Lucy were picking chestnuts. Mary picked twice as much chestnuts than Peter. Lucy picked 2 kg more than Peter. Together the three of them picked 26 kg of chestnuts. How many kilograms did each of them pick?
Answer:
Peter = 6 kg
Mary = 12 kg
Lucy = 8 kg
Step-by-step explanation:
let us take number of kg's peter took as x
then lets form an expression to find x
let us take mary's chestnuts as = 2x (twice as much as peter)
let us take Lucy's chestnuts as = 2 + x (picked 2 kg more than peter)
so
x + 2x + 2+ x = 26
4x + 2 = 26
4x = 26 - 2
4x = 24
x = 24/4
x = 6
now let us see how much each of them picked while replacing 6 by x
Peter = x
= 6 kg
Mary = 2x
= 2(6)
= 12 kg
Lucy = 2+x
= 2 + 6
= 8 kg
now let us cross check to see the answer
6 + 12 + 8
18 + 8
= 26
CROSS-CHECKED
What is the area of this figure?
Answer:
I love these kind of problems (yes I'm kidding,... lol) your answer is below,...
Step-by-step explanation:
To find the area of the whole shape lets view it as three seprate rectangles,... then we will find the area of the three seperate shapes and add the areas together,... (english scholler voice): "Quite simple really"
For "simplicitys sake" lets view the shape as a house blueprint, no house I would want to live in, but a house non-the-less,... you have the main part of the house (the largest rectangle, the 13yd x 24yd one) the hallway in the middle (the 14yd x 6yd rectangle) and finally the really ridiculous sized I-du-know,... kitchen (the 5yd x 17yd one) Sooo,... lets go,...!
First of all if you didn't follow how I got the three rectangles then it's "quite simple really!" all I did is: take the oppposite side of the very far left side (the one that says 24yd) where is says 7yd and 11yd and because we know that the 7yd + 11yd + the-part-that-we-don't-know-how-long-is, is all = to 24yd then we know that the part that is not labled (the "doorway" from the main part of the house to the hallway) has to be 6yd because 7yd + 11yd + 6yd = 24yd,... AND know we know that that side of the "hallway" is 6yd, so the "hallway" is 6yd x 14yd,... So,...
13yd x 24yd = YES!... 312yd
14yd x 6yd = RIGHT again!... 84yd
5yd x 17yd = YOU are SO LIT,... yes it's 85yd
Alright so we have 312yd and 84yd and 85yd,... all we have to do is add 'em all up and you will have the area of your houseprint,... You got it!
312yd + 84yd + 85yd = (drum roll please,...) 481yd,...
The area of you shape is 481yd,...
So glad to have worked with ye and me thinks that that hopefully helped,...
CHOW,...!
a 18-inch candle is burning at the rate of 1 inch per hour and 1 15-inch candle is burning at half of an inch per hour. How long will it take for the two candles to be the same height?
Simone buys a shirt and hat. The hat costs six dollars. The shirt cost five times as much as the heart. How much more does the shirt cost than the heart?
Answer:
$24
Step-by-step explanation:
h x 5 = 30
h = 6
30 - 6 = 25
A movie started at 22 45. The movie ended at 01 32 the next day. Calculate the duration of the movie.
please with full works
Movie started at 22 : 45 and ended at 01 : 32.
total watching hours :
(22 : 45 to 00 : 00) + (00 : 00 to 01 : 32)1 hour and 15 minutes + 1 hour and 32 minutes 2 hours and 47 minutesI hope it helped !!
Someone help me on this pls
!!
Answer:
h(x) = 3x - 2
Step-by-step explanation:
The opposite of division is multiplying and the opposite of addition is Subtraction.
Answer:i i am going to go with h(x)=1/3 x+2
Step-by-step explanation:
B is between A and C and AB = BC.
If AB = 4x and AC = 24, find x.
Answer:
x = 6
Step-by-step explanation:
Because AB = BC and AB = 4x , AC = 24
=> 4x = 24
x =6
Answer:
X=3
I hope this helps,
Not the neatest of handwriting though
anybody how to do this?
PLS HELP ME WITH ANGLES
Answer:
140 comied
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
40° + 3y + 2y = 180°
↔ 5y = 140°
↔ y =28°
if there are 48 students in a class and 42% of those students have a dog what percent of students have a dog or a cat?
What least number should be subtracted from 45,632 so that the number is divisible by 100 (plzz answer)
Answer:
32
Step-by-step explanation:
I don't know if I am correct but if you subtract 32 from 45632 then you will get 45600 which is easily divisible by 100, so your answer is 32
Fill in the missing work and justification for step 2 when solving 3(x + 2) = 12.
Step Work Justification
1 3(x + 2) = 12 Given
2
3 3x + 6 − 6 = 12 − 6 Subtraction Property of Equality
4 3x = 6 Simplify
5 Three times x over three equals six over three Division Property of Equality
6 x = 2 Simplify
3x + 6 = 12; Distributive Property
3x + 2 = 12; Distributive Property
3x + 6 = 12; Multiplication Property of Equality
3x + 2 = 12; Multiplication Property of Equality
Answer:
3x + 6 = 12; Distributive PropertyStep-by-step explanation:
3(x + 2) = 12The next step is:
3*x + 3*2 = 123x + 6 = 12This is a distributive property
Correct choice is A
1 7/8 cups of ketchup times 3.
Answer:
5 5/8 cups of ketchup
Step-by-step explanation:
1 7/8 x 3
15/8 x 3/1 = 45/8
45/8 = 5 5/8
Solve 4x−9y=13 for y
Please help
Answer: i dont know
Step-by-step explanation: 4
What is the solution to the equation 5x = 40?
07
08
45
200
Answer: Should be 8 ,,,,,
Answer:
Step-by-step explanation:
well you want to isolate x so in order to undo multiplication, you divide the 5 on both side that way it cancels on the side with the x.
The answer to that is: X = 8.
40 divided by 5 = 8.
To check we can do 5 x 8 = 40.
X = 8
m - 4 = 2m
Check your solution if possible
Answer:
m - 4m = 2m
-4 = 2m -m
- 2 = m
Answer:
m = -4
Step-by-step explanation:
Add 4 to both sides of the equation
Simplify
Add the numbers
= 2 + 4
Subtract 2 from both sides of the equation
=2+4
−2=2+4−2
Simplify
Divide both sides of the equation by the same term
Simplify
OMG PLEASE HELP ME! I NEED YOUR HELP
Answer:
60 degree
Step-by-step explanation:
I don't know the process though
Answer:
x = 44°
Step-by-step explanation:
180 - 67 = 113
23 + 113 = 136
180 - 136 = 44.
I need help with #61 to #64 ASAP please and thank you …. Could someone please help me with it… I need to get it done ASAP
Problem 61
The nth triangular number is
T(n) = n(n+1)/2
I'll rewrite this into
T(n) = 0.5n(n+1)
The triangular number right after this is
T(n+1) = 0.5(n+1)(n+2)
I replaced every n with n+1 and simplified
Let's see what we get when we add up the two expressions
T(n) + T(n+1)
0.5n(n+1) + 0.5(n+1)(n+2)
0.5n^2+0.5n + 0.5(n^2+3n+2)
0.5n^2 + 0.5n + 0.5n^2 + 1.5n + 1
n^2+2n+1
(n+1)^2
This shows that the sum of any two consecutive triangular numbers results in a square number
Here's a few examples
0+1 = 11+3 = 43+6 = 96+10 = 1610+15 = 25Note each sum is a perfect square, which visually would plot out a square figure.
For quick reference, the set of the first few triangular numbers is {0, 1, 3, 6, 10, 15, 21, 28, 36, 45, 55,...}
Answer: Square number==========================================================
Problem 64
Let's say we go with n = 5.
This means,
T(n) = 0.5n(n+1)
T(n-1) = 0.5(n-1)(n-1+1)
T(n-1) = 0.5n(n-1)
T(5-1) = 0.5*5(5-1)
T(4) = 10
This says that when n = 5, the 4th triangular number is 10
Triple that result and add on n = 5
3*T(4) + n = 3*10+5 = 35
This result is beyond obvious which category of figurate number it belongs to. It's not a triangular number since it's not in the form n(n+1)/2. It's not a square number either.
Through a bit of trial and error, you should find it's a pentagonal number
Pentagonal numbers are of the form n(3n-1)/2
If you plugged n = 5 into that, it leads to 35
n(3n-1)/2 = 5*(3*5-1)/2 = 5*14/2 = 70/2 = 35
The diagram shown below represents the first few pentagonal numbers. The number of blue dots corresponds to the pentagonal number itself. Note the equal spacing when dealing with dots on each segment (eg: some interior blue dots are midpoints, others are quarter points, etc.)
Answer: Pentagonal numberPlease help! Will mark brainliest! ^^
Answer:
1/8 = 0.125
14/20 = 0.7
2/3 = 0.67
4/5 = 0.8
Step-by-step explanation:
-12/3*(-8+(-4)²-6)+2
122 right?
Answer:
-6
Step-by-step explanation:
[tex] - \frac{12}{3} \times ( - 8 + ( - 4 {)}^{2} - 6) + 2[/tex]
[tex] (-4)² = 4²= 4×4 =16 [/tex]
[tex] - \frac{12}{3} \times ( - 8 +16 - 6) + 2[/tex]
[tex] -8 + 16-6= -14 + 16 = 2[/tex]
[tex] - 4( - 8 + 16 - 6) + 2[/tex]
[tex] - 4 \times 2 + 2[/tex]
[tex] - 8 + 2[/tex]
[tex] = - 6[/tex]
Find the midpoint of (-3,7) and (-9,1).
Answer:
(-6, 4)
Step-by-step explanation:
someone help with this, asap ty.
Answer:
Still C br-uh
Step-by-step explanation:
Can someone tell me what number 60 is?
4. Which of the following are solutions of the equation 3x2 +27=0 ? Select all that apply.
-13
-3
-3i
I/3
3
зі
REFER TO PIC
The choose ; 3i , – 3i
3x²+27=0 —> 3x² = - 27 —> x²= - 27/ 3 = - 9
x = √ - 9 = √-1 × √9 = 3 i
I hope I helped you^_^
Lois makes customised tee-shirts. She advertises and receives orders through her own website. She buys blank tee-shirts for $1 each and $1 of fabric paint is used to produce the bespoke designs. She pays herself $6 per hour for her time to create the designs and package the teeshirts. In addition she makes a profit of 20% of the selling price. For how much will she sell a tee-shirt, if the artwork and packaging takes one and a half hours to complete?
Lois will sell her tee-shirt for $13.20
The percentage profit = [tex]\frac{profit}{cost price}[/tex] × 100
Profit = Selling price - cost price
Cost price is the total amount expended in making the tee-shirts
cost price includes cost of buying blank shirt , cost of fabric paint and amount Lois pay herself
cost of buying blank shirt = $1
cost of fabric paint = $1
amount Lois pay herself = [tex]1\frac{1}{2}[/tex] x $6
[tex]\frac{3}{2}[/tex] x $6 = $9
Total cost price = $1 + $1 + $9 = $11
0.2 = [tex]\frac{profit}{11}[/tex]
profit = 11 x 0.2 = $2.2
$2.20 = selling price - $11
selling price = $11 + 2.20 = $13.20
To learn more about selling price, please check : https://brainly.com/question/15533091?referrer=searchResults
Find the value of xFind the value of xFind the value of x
Answer:
x = 11
Step-by-step explanation:
[tex] \frac{x + 2}{6} - \bigg( \frac{11 -x }{3} - \frac{1}{4} \bigg) = \frac{3x - 4}{12} \\ \\ \frac{2(x + 2)}{2 \times 6} - \bigg( \frac{4(11 - x) - 1 \times 3}{3 \times 4} \bigg) = \frac{3x - 4}{12} \\ \\ \frac{2x + 4}{12} - \bigg( \frac{4 4 - 4x- 3}{12} \bigg) = \frac{3x - 4}{12} \\ \\ \frac{2x + 4}{12} - \bigg( \frac{41 - 4x}{12} \bigg) = \frac{3x - 4}{12} \\ \\ \frac{2x + 4 - 41 + 4x}{ \cancel{12}} = \frac{3x - 4}{ \cancel{12}} \\ \\ 6x - 37 = 3x - 4 \\ \\ 6x - 3x = 37 - 4 \\ \\ 3x = 33 \\ \\ x = \frac{33}{3} \\ \\ \huge \red{ \boxed{ x = 11}}[/tex]
Amber baked 243 cookies. She wants to share the cookies evenly among 13 friends in her class. How many cookies will each friend receive?
Answer:
18
Step-by-step explanation:
243÷13=18remainder9
mark me brainliest
Answer:
18
Step-by-step explanation:
243/13
Write the slope-intercept form of the equation of the
line through the given point with the given slope.
10. through: (5, -3), slope -4/5.
Answer:
y = -4/5x + 1Step-by-step explanation:
The slope-intercept form:
y = mx + b, where m- slope, b- y-interceptUse point (5, -3) and m = -4/5:
-3 = -4/5*5 + b-3 = -4 + bb = -3 + 4b = 1The line is:
y = -4/5x + 1Answer:
b = 1
Step-by-step explanation:
We know that
y = mx + b
-3 = -4/5 × 5 + b
-3 = -20/5 + b
-3 = -4 + b
-3 + 4 = b
1 = b
Find the lengths of LM⎯⎯⎯⎯⎯⎯ and PQ⎯⎯⎯⎯⎯ and determine whether they are congruent.
Hint: Congruent line segments have the same length.
Answer:
The fourth option is the answer.
Step-by-step explanation:
Use distance formula
[tex] {x}^{2} + {y}^{2} = {d}^{2} [/tex]
where x is the distance between the two endpoints of the congruent line segment and y is the distance between the congruent line segment.
[tex] {3}^{2} + {6}^{2} = 45[/tex]
Set 45 equal to d^2.
[tex]45 = {d}^{2} [/tex]
[tex] \sqrt{45} = d[/tex]
[tex]3 \sqrt{5} = d[/tex]
L and M have the same distance between points as well. so they are congruent.
replace blank with <,>, or = to make a true statement: 2^5 blank
4^2
Step-by-step explanation:
2^5 > 4^2
32 > 16
hopefully it makes
:)