Multiplication in base five can be challenging. However, I will try my best to break the information down into into steps to make it easy to understand and master.
It is similar to multiplying numbers in base 10. However, because we are not used to do this in base 5, it may appear tough.
Plan to spend some time reading this lesson about multiplication in base five more than once.
First, know the difference between base 5 place value and base 10 place value.
I show the difference with two numbers: 48573 and 134125
For 48573, 5 is in the hundreds place and it means there are 5 hundreds
For 134125
, 4 is in the twenty-fives place and it means there are 4 twenty-fives
Difference between base 10 and base 5
The most difficult concept with multiplication in base five is to master how to carry numbers.
Study the following two multiplications carefully. The one on the right is the multiplication in base five.
Example showing how to do multiplication in base five
8 6 4
× 3 6
_____________
3 4 35
× 2 45
______________
5 3 2
8 6 4
× 3 6
__________
5 1 8 4 3 3 2
3 4 35
× 2 45
___________
3 0 3 25
Step 1:
6 × 4 = 24.
24 = 10 + 10 + 4
You have 2 tens to carry.
Write 4 down in the ones place.
Carry 2 tens by putting 2 in the tens place (Shown in red) Step 1:
4 × 3 = 12.
12 = 5 + 5 + 2
You have 2 fives to carry.
Write 2 down in the ones place.
Carry 2 fives by putting 2 in the fives place (Shown in red)
Step 2:
6 × 6 = 36.
36 + 2 = 38 tens
38 tens = 10 tens + 10 tens + 10 tens + 8 tens
= 100 + 100 + 100 + 80
= 100 + 100 + 100 + 8 tens
You have 3 hundreds to carry. Write 8 down in the tens place and carry 3 hundreds by putting 3 in the hundreds place (Shown in green) Step 2:
4 × 4 = 16.
16 + 2 = 18 fives
18 fives = 5 fives + 5 fives + 5 fives + 3 fives
= 25 + 25 + 25 + 15
= 25 + 25 + 25 + 3 fives
You have 3 twenty-fives to carry. Write 3 down in the fives place and carry 3 twenty-fives by putting 3 in the twenty-fives place (Shown in green)
Step 3:
6 × 8 = 48.
48 + 3 = 51 hundreds
51 hundreds = 10 hundreds + 10 hundreds + 10 hundreds + 10 hundreds + 10 hundreds + 1 hundred
= 1000 + 1000 + 1000 + 1000 + 1000 + 100
= 1000 + 1000 + 1000 + 1000 + 1000 + 1 hundred
You have 5 thousands to carry. Write 1 down in the hundreds place and carry 5 thousands by putting 5 in the thousands place (Shown in black)
Bring down the 5 in the thousands place Step 3:
4 × 3 = 12.
12 + 3 = 15 twenty-fives
15 twenty-fives = 5 twenty-fives + 5 twenty-fives + 5 twenty-fives + 0 twenty-five
= 125 + 125 + 125 + 0
= 125 + 125 + 125 + 0 twenty-five
You have 3 one hundred twenty-fives to carry. Write 0 down in the twenty fives place and carry 3 one hundred twenty-fives by putting 3 in the one hundred twenty-five place (Shown in black)
Bring down the 3 in the one hundred twenty-fives place.
Notice again the 0 in the twenty-fives place.
2 1 1
8 6 4
× 3 0
________________
2 5 9 2 0 1 1 1
3 4 35
× 2 05
_______________
1 2 4 1 05
Step 4:
3 × 4 = 12 tens.
12 tens = 10 tens + 2 tens = 100 + 2 tens
Carry 1 hundred by putting 1 in the hundreds place (Shown in red)
Write 2 down in the tens place.
Since there is nothing in the ones place, just put a 0. Step 4:
2 × 3 = 6 fives.
6 fives = 5 fives + 1 five = 25 + 1 five
Carry 1 twenty five by putting 1 in the twenty-fives place (Shown in red)
Write 1 down in the fives place.
Since there is nothing in the ones place, just put a 0.
Step 5:
3 × 6 = 18 hundreds.
18 hundreds + 1 hundred = 19 hundreds
19 hundreds = 10 hundreds + 9 hundreds
= 1000 + 9 hundreds
Write 9 down in the hundreds place and carry 1 thousand by putting 1 in the thousand place (Shown in green)
Step 5:
2 × 4 = 8 twenty-fives.
8 twenty-fives + 1 twenty-five = 9 twenty-fives
9 twenty-fives = 5 twenty-fives + 4 twenty-fives
= 125 + 4 twenty-fives
Write 4 down in the twenty-fives place and carry 1 one hundred twenty-five by putting 1 in the one hundred twenty-five place (Shown in green)
Step 6:
3 × 8 = 24 thousands.
24 thousands + 1 thousand = 25 thousands
25 thousands = 10 thousands + 10 thousands + 5 thousands
= 10000 + 10000 + 5 thousands
Write 5 down in the thousands place and carry 2 ten thousands by putting 2 in the ten thousands place (Shown in black)
Bring the 2 down in the ten thousands place Step 6:
2 × 3 = 6 one hundred twenty-fives.
6 one hundred twenty-fives + 1 one hundred twenty five = 7 one hundred twenty-fives
7 one hundred twenty-fives = 5 one hundred twenty-fives + 2 one hundred twenty-five = 625 + 2 one hundred twenty-five
Write 2 down in the one hundred twenty-fives place and carry 1 six hundred twenty-five by putting 1 in the six hundred twenty-five place (Shown in black)
Just add now. You may need to review addition in base five before even starting this lesson about multiplication in base five.
Adding the results in base ten.
1 1 1
5 1 8 4
2 5 9 2 0
____________
3 1 1 0 4
Adding the results in base five.
1
3 0 3 2
1 2 4 1 0
______________
2 0 4 4 2
Again, it is quite challenging to do multiplication in base five. I recommend you take your time when reading this lesson. Don't give up
Please help me with number 2
Step-by-step explanation:
Since the firm was hired to create a box kind of shape, the length, width and height will be the same
i.e volume= L*W*H= (L*L*L)= [tex]L^3[/tex]
[tex]18=L^3\\L= \sqrt{18} \\L= 3 cm[/tex]
hence the dimension is
If the volume must be exactly [tex]18cm^3[/tex] the dimension must be
length= 3 cm,
width = 3 cm and
height = 3 cm
The set of dimension if the company is to use the least materials is
length= 3 cm,
width = 3 cm and
height = 3 cm
What is the slip of the line shown below?
Answer:
Assuming you mean slope, the answer would be ...
2
The photo is pretty blurry but from what I see, from point 1 to point 2 the line shifts over 1 and goes up 2 units. In other words, slope=rise/run so the slope of this line = 2/1.
When you reduce 2/1 you get 2. I know the slope is positive because the line is going up from the y-axis not down.
Therefore, your answer is 2
Hope this helps!
Answer: 2
Step-by-step explanation:
The slope would be 2 :)
What is the determinant of a=
Answer:
c) 30
The determinant of Given Matrix |A| = 30
Step-by-step explanation:
Explanation:-
Given Matrix
[tex]A = \left[\begin{array}{ccc}-2&2&b\\0&3&a\\0&0&-5\end{array}\right][/tex]
The determinant of |A|
[tex]A = \left|\begin{array}{ccc}-2&2&b\\0&3&a\\0&0&-5\end{array}\right|[/tex]
[tex]|A| = -2\left|\begin{array}{ccc}3&a\\0&-5\\\end{array}\right|-2\left|\begin{array}{ccc}0&a\\ 0 -5\\\end{array}\right|+b\left|\begin{array}{ccc}0&3\\ 0 0 \\\end{array}\right|[/tex]
we know that determinant of matrix
|A| = |ad -bc|
|A| = -2(-15-0)-2(0-0)+b(0-0)
|A| = 30
*****WHO ANSWERS WILL BE MARK AS BRAINLIEST*******
A rectangle has a width of 7 units and a length of 24 units. What is the length of a diagonal? *
41
25
20
15
Answer:
25
Step-by-step explanation:
d= √l²+w²= √24²+7²= √576+49= √625= 25
Answer:
25
Step-by-step explanation:
In Pythagoras' theorem a^(2) + b^(2) = C^(2)
If we input put values, 7^(2)+24^(2)= 625
The square root of 625 is 25
Please answer this question fast in two minutes
Answer:
(3, 0)
Step-by-step explanation:
M = (-3, -4) - mid point
D= (-9, -8)
C=?
--------
Mid point:
x= (x1+x2)/2, y=(y1+y2)/2
-3= (-9 +x1)/2 ⇒ -6= -9 +x1 ⇒ x1= 9-6=3-4= (-8+y1)/2 ⇒ -8= -8 +y1 ⇒ y1= 8-8= 0C= (3, 0)
The owner of a fruit stand gathered data for a week about the number of watermelons, pumpkins, and cantaloupes sold each day. She represented the data in two scatter plots.
Does either scatter plot indicate a positive correlation between the variables?
A.) only plot A
B.) only plot B
C.) both plot A and plot B
D.) neither plot A nor plot B
The reasoning is because all of the points for plot A are fairly close to the same straight line. This straight line has a positive slope. We call this line the regression line.
In contrast, plot B seems to have the points randomly scattered about. We can't draw a good fitting straight line to get near all of the points. So plot B does not show positive linear correlation.
Side note: the correlation coefficient for plot A will have its r value close to 1. The r value for plot B will be close to 0.
The answer is A.) only plot A
convert the fraction to a decimal. 1/5=
Answer:
0.2
Step-by-step explanation:
1/5 or one-fifths is a whole divided into 5 equal parts.
Suppose 100. Divide 100 into 5 equal parts and we get 20.
The whole 1 divided into 5 equal parts is 0.2.
Answer: 0.2
Step-by-step explanation: Decimals represent fractions with denominators of 10, 100, 1,000, and so on.
Therefore, in order to write 1/5 as a decimal, we must first
find a fraction equivalent to 1/5 with a denominator of 10.
So we multiply the numerator and denominator of
1/5 by 2 to get the equivalent fraction 2/10.
Now we have a fraction that can be written as a decimal.
Since the tenths place is 1 place to the right
of the decimal, we can write 2/10 as 0.2.
HELP ASAP LINEAR EQUATIONS!!
Answer:
y = 4/3x - 10.
Step-by-step explanation:
3x + 4y = 12
4y = -3x + 12
y = -3/4x + 3
If a line is perpendicular to another, the line has a slope that is the negative reciprocal of the other line. Since the given line has a slope of -3/4, the line perpendicular to that line will have a slope of 4/3.
So far, for the equation of the line, we have an equation of y = 4/3x + b.
To find b, simply substitute the coordinates (6, -2) for x and y.
-2 = 4/3(6) + b
b + 4/3(6) = -2
b + 8 = -2
b = -10
So, the equation of the line will be y = 4/3x - 10.
Check your work...
-2 = (4/3)(6) - 10
-2 = 8 - 10
-2 = -2
Hope this helps!
Answer: C) [tex]y = \frac{4}{3} x-10[/tex]
Step-by-step explanation:
First change this equation into slope-intercept form(y = mx + b). y = -3/4x + 3.
For a line to be perpendicular to another line, it must have an opposite reciprocal slope. The opposite reciprocal of -3/4 is 4/3. Thus, the answer is NOT B. Then, attempt to plug in 6, -2 into each equation. The only one where it works is C.
Hope it helps <3
Q2.
If ε = {x: x is an integer such that 1<x<20} and A = {8, 9, 10, 11, 12, 13, 14} and
B = {2, 4, 6, 8, 10, 12, 14, 16, 18}.
(i) List down the elements of A’ and B’
(ii) Are sets A - B and B - A equal sets?
(iii) Find and compare the sets (AUB)’ and A’∩B’ and share your observations
please please please please answer it it's so much inportant
Answer:
see below
Step-by-step explanation:
A = {8, 9, 10, 11, 12, 13, 14} and B = {2, 4, 6, 8, 10, 12, 14, 16, 18}
----------------
(i) List down the elements of A’ and B’
{8, 9, 10, 11, 12, 13, 14, 2, 4, 6, 8, 10, 12, 14, 16, 18} - this is the elements of both sets
----------
(ii) Are sets A - B and B - A equal sets?
A-B= {9, 11, 13}
B-A= {2, 4, 6, 16, 18}
These are not equal as we can see
----------
(iii) Find and compare the sets (AUB)’ and A’∩B’ and share your observations
A∪B= {2, 4, 6, 8, 9, 10, 11, 12, 13, 14, 16, 18}- union included all elements of both sets
A∩B= {8, 10, 12, 14} - intersection only includes common elements
Suppose that $f$ is an invertible function from $(-\infty,\infty)$ to $(-\infty,\infty)$. If $f(f(x))=x$, find $f(x)-f^{-1}(x)$.
Answer:
0
Step-by-step explanation:
I did this in AoPS alcumus
Given the equation y=2x-8, which statement is correct ? A.Y=2(x-4) has a y-intercept of 4 B. Y=2(x-4)has a y-intercept of -4 C. Y=2(x-4) has a x- intercept of 4 D. Y=2(x-4)has a x intercept of -4
Answer:
Correct option: C -> Y=2(x-4) has a x- intercept of 4
Step-by-step explanation:
To find the y-intercept of the equation y = 2x - 8, we just need to find the value of y when x = 0:
[tex]y = 2*0 - 8 = -8[/tex]
To find the x-intercept of the equation y = 2x - 8, we just need to find the value of x when y = 0:
[tex]0 = 2*x - 8[/tex]
[tex]2x = 8[/tex]
[tex]x = 4[/tex]
So the y-intercept is -8 and the x-intercept is 4.
Correct option: C -> Y=2(x-4) has a x- intercept of 4
Please Help me ASAP Just answers please ;)
Answer:
C
Step-by-step explanation:
< means exclusive, so open hole
≤ means inclusive, so closed dot
also, you can see that the values for y are going down, like 6, 4, 2. That's only in answer C.
Last week, Lindsay earned $10 per hour plus a $60 bonus for good job performance. She spends of her paycheck on dinner with friends. If she had not earned the bonus, the amount she spent on dinner would have been of her paycheck. Which equation can be used to find h, the number of hours Lindsay worked last week?
Answer:
Equation that can be used to find h is 1/15*(10h+60)=1/10*(10h)
Lindsay worked for 12 hours last week
Step-by-step explanation:
Complete question below:
last week, Lindsay earned $10 per hour plus a $60 bonus for good job performance. She spends 1/15 of her paycheck on dinner with friends. If she had not earned the bonus, the amount she spent on dinner would have been 1/10 of her paycheck. Which equation can be used to find h, the number of hours Lindsay worked last week?
Let
y= cost of the dinner with friends
h=the number of hours Lindsay worked last week
y=1/15*(10h+60) (1)
y=1/10*(10h) (2)
Equate (1) and (2)
1/15*(10h+60)=1/10*(10h)..........equation used to find h
10h+60/15=10h/10
Cross product
(10h+60)10=15(10h)
100h+600=150h
600=150h-100h
600=50h
Divide both sides by 50
600/50=50h/50
12=h
Therefore, Lindsay worked for 12 hours last week
Solve (x − 2) = 3
Give your solutions correct to 3 significant figures.
Answer:
(x − 2) = 3
Remove the bracket
x - 2 = 3
Group the constants at one side of the equation
x = 2 + 3
x = 5
Therefore x = 5.00 to 3 significant figures.
Hope this helps
It is given that ∠ABC and ∠CBD are Response area. So, m∠ABC+m∠CBD=90° using the Response area. It is also given that m∠ABC=35°. Using the Response area, you have 35° + m∠CBD=90°. Therefore, using the subtraction property of equality, m∠CBD=55°
THE QUESTION CAN BE WRITTEN AS THIS;
It is given that ∠ABC and ∠CBD are a____________ So, m∠ABC+m∠CBD=90° using the b____________. It is also given that m∠ABC=35°. Using the substitution property of equality, you have c________+ m∠CBD=90°. Therefore, using the subtraction property of equality, m∠CBD=55°
Answer:
a)COMPLIMENTARY ANGLE
b)DEFINITION OF COMPLEMENTARY ANGLES
c)35°+ m<CBD = 90 degrees.
Step by step Explanation:
a)It's given that <ABC and <CBD are (COMPLIMENTARY ANGLE)
We know that the Sum of Complementary angles equal to 90 degrees.Those angles don't have to be next to each other, just so long as the total is 90 degrees. That's why the Sum of m<ABC and m<CBD equals 90 degrees that is m<ABC + m<CBD = 90 degrees
b)using the (DEFINITION OF COMPLEMENTARY ANGLES) It is also given that m<ABC = 35 degrees.
c)Using substitution property of equality, you have (35°+ m<CBD = 90 degrees.)
If we subtract 35 from both sides, we get 35-35+ m<CBD = 90-35.
Therefore, m<CBD = 55 degrees.
PLEASE CHECK THE ATTACHED FIGURE TO SEE HOW THE QUESTION LOOKS LIKE
Answer:
Step-by-step explanation:
The correct response since I just took this test is:
It is given that ∠ABC and ∠CBD are complementary angles. So, m∠ABC+m∠CBD=90° using the definition of complementary angles. It is also given that m∠ABC=35°. Using the substitution property, you have 35° + m∠CBD=90°. Therefore, using the subtraction property of equality, m∠CBD=55°
The diagram shows an irregular octagon. Work out the sum of the interior angles.
Answer:
1080°
Step-by-step explanation:
Sum of interior angles = 180°(n-2)
Where n is the number of sides of the polygon
Therefore,
Sum of interior angles of an octagon =180°(8-2)
=1080°
A polygon is a geometrical shape that has between 1 to an infinite number of sides. A polygon can come in two forms:
Regular polygonIrregular polygonThe sum of the interior angles of the irregular octagon is 1080°
The formula to solve for the sum of the interior angles of an irregular polygon is given as:
(n - 2) x 180°
Where n = number of sides.
An octagon is a polygon that has 8 sides. Hence, n = 8
So: (8 - 2) x 180°
= 6 x 180°
= 1080°
Therefore, the sum of the interior angles of the irregular octagon is 1080°
To learn more, visit the link below:
https://brainly.com/question/23425100
Which of the following is an identity?
A: secBcotB = cosB
B: secBcotB = cscB
C: secBcotB = sinB
D: secBcotB = cscBtanB
Answer:
The answer is option B
Step-by-step explanation:
secB = 1/cosB
cotB = cosB / sinB
secBcotB is
[tex] \frac{1}{ \cos(B) } \times \frac{ \cos(B) }{ \sin(B) } \\ \\ = \frac{1}{ \sin(B) } \\ \\ But \: \frac{1}{ \sin(B) } = \csc(B) \\ \\ \\ = \csc(B) [/tex]
Hence the identity
Hope this helps you
Bridget drives at a speed of 60 miles per hour. How long will it take to drive 270 miles?
Answer:
4 hours and 30 minutes.
Step-by-step explanation:
270÷60=4.5
Answer:
4 1/2 hours (((:
Step-by-step explanation:
Justin plans to attend a four-year college. He has estimated the costs per year.
Tuition = $2,900
Other educational expenses = $280
Housing and living expenses = $4,100
Justin’s counselor estimates he will receive $3,500 a year in grants. He also will be eligible for a work-study program that pays $2,800 per year. Justin also plans to save enough money to contribute $500 each year.
Justin’s plan doesn’t cover his costs completely. What are his options for covering the rest of his costs? Select all that apply.
He could try to save more money.
He could get a student loan for the extra amount he needs.
He could apply for a scholarship.
He could ask his friends to loan him money.
He could ask his family to contribute.
Answer:
A, B, C, E
Step-by-step explanation:
I literally just did the question on edge.
Answer:
a,b,c,e
Step-by-step explanation:
5c/f=1/r, solve for r, c and f.
Answer:
c = 1, f = 5, and r = 1
Step-by-step explanation:
5(1)/(5) = 1/(1)
5/5 = 1/1
1 = 1
Step-by-step explanation:
5c = 1
f r
solving for r
5rc = f
r = f
5c
solving for c
if r = f
5c
5rc = f
c = f
5r
solving for f
f = 5cr
y = 16-x^2
Find the value of k
Answer:
k = - 4
Step-by-step explanation:
Given
y = 16 - x²
The point (k, 0 ) is a zero. To find the zero let y = 0, that is
16 - x² = 0 ( add x² to both sides )
16 = x² ( take the square root of both sides )
x = ± [tex]\sqrt{16}[/tex] = ± 4
The zeros are x = - 4 and x = 4
Since (k, 0 ) is to the left of the origin, then k = - 4
Can you answer this question for me and help me by explaining it?
Answer:
(3, 1250 )
Step-by-step explanation:
Given x = 3, then
y = 10 × 5³ = 10 × 125 = 1250
which shape has a line of symmetry that can be drawn through the figure?
Answer: Option D.
Step-by-step explanation:
A figure has a line of symmetry if we can draw a line through the figure, in such way that the line cuts the figure in exactly two equal halves.
Then any figure that can be cutin exactly two halves, is a correct answer to this question.
Then:
For a circle, the line of symmetry is the diameter of the circle.
For the square, the line of symmetry can be obtained by cutting the square with a line that is perpendicular to one of the sides, and cuts that side exactly on the midpoint.
For an equilateral triangle, the line of symmetry is the line that cuts any base in the midpoint and also passes through the opposite vertex.
Then all the figures are correct options, then the correct option is D
Answer:
D is correct because all have line of symmetry
The perimeter of the original rectangle is 16 feet. A small rectangle has a length of 6.2 feet and width of 1.8 feet. A larger rectangle has a length of 12.4 feet and width of blank. Not drawn to scale What is the perimeter of the enlarged rectangle? Round to the nearest tenth if necessary. 22.3 feet 31 feet 32 feet 42.7 feet
Answer:
32 feet
Step-by-step explanation:
looking at the length of the bigger rectangle, we can see that it is twice the length of the small one.
Mathematically meaning 12.4 = 2(6.2)
So in the real sense of it, we can conclude that the smaller rectangle was dilated to give the bigger.
So using that, we can see that the width of the larger triangle would be 1.8 * 2 = 3.6 feet
Mathematically, we can calculate the perimeter of a rectangle using the formula;
P =2 (l + b)
Thus P = 2(12.4 + 3.6) = 2(16) = 32 feet
Answer: 32
Step-by-step explanation: looking at the length of the bigger rectangle, we can see that it is twice the length of the small one.
Mathematically meaning 12.4 = 2(6.2)
So in the real sense of it, we can conclude that the smaller rectangle was dilated to give the bigger.
So using that, we can see that the width of the larger triangle would be 1.8 * 2 = 3.6 feet
Mathematically, we can calculate the perimeter of a rectangle using the formula;
P =2 (l + b)
Thus P = 2(12.4 + 3.6) = 2(16) = 32 feet
Which phrase should be inserted on the line to correctly compare the two fractions? Use the models to help. StartFraction 7 Over 8 EndFraction blank line StartFraction 2 Over 4 EndFraction StartFraction 7 Over 8 EndFraction StartFraction 2 Over 4 EndFraction A circle divided into 8 equal parts. 7 parts are shaded. A circle divided into 4 equal parts. 2 parts are shaded. is greater than cannot be compared to is less than is equal to
Answer:
7/8 is greater than 2/4
Step-by-step explanation:
In this question basically, what we are trying to do is to compare fractions and state which is greater or less.
The first fractions in the question is;
7/8 _ 2/4
Now, one of the best ways to go around comparing fractions is looking at the denominators.
In this question, the denominators in the fractions are 8 and 4.
The next thing to do here is to multiply the numerator and the denominator of the first by 4 and the numerator and the denominator of the second by 8. This makes it possible for us to have the same denominator in both fractions and thus compare both fractions directly.
Thus, what we have would be;
7/8 = 7/8 * 1 = 7/8 * 4/4 = 28/32
Now for the fraction;
2/4 = 2/4 * 1 = 2/4 * 8/8 = 16/32
We can see they both have a common denominator and we can directly compare their numerators.
Obviously, 28 is greater than 16 and this makes a case for the fact that 7/8 is greater than 2/4
So what we have in the blank is ; is greater than
Kindly note that the other part of the question that talks about shading circles is same as saying 7/8 and 2/4
Answer:
is less than
Step-by-step explanation:
look at da graph and watch mario.
Help me please I need some help with math
Answer:
sorry i dont understand
Step-by-step explanation:
Why is it that the statement "all rhombuses are squares" is false, but the statement "all squares are rhombuses" is true? Use an example to help with your explanation.
Answer:
Step-by-step explanation:
The following are properties of a rhombus:
i) All sides are equal
ii) The diagonals bisect each other at right angle.
iii) Diagonals bisect the angles
iv) Sum of consecutive angles is 180°
The following are properties of a square:
i) All sides are equal
ii) The diagonals bisect each other at right angle.
iii) Diagonals bisect the angles
iv) All angles are right angle
A rhombus is a square only when all its angles are right angles (90°) but all squares are rhombuses because squares have the same property as rhombuses(since All angles are right angles, consecutive angles would add up to 180°). Therefore all rhombuses are not squares but all squares are rhombuses
A transversal intersects two lines and forms a pair of same side interior angles that measure 36° and 4 times that measure. Prove that the lines are parallel. Please answer now I need it desperately. thx.
Answer:
The addition of the same side interior angles is equal to 180°
Step-by-step explanation:
If the addition of the same side interior angles is equal to 180°, then the lines are parallel. One angle measure 36°, the other angle measures 4*36° = 144°. The addition gives 36° + 144° = 180°.
See picture attached; given that m║n then ∠1 ≅ ∠4 and ∠2 ≅ ∠3. Also, ∠1 + ∠3 = ∠2 + ∠4 = 180°; combining, we get ∠1 + ∠2 = 180°, where ∠1 and ∠2 are same side interior angles. This conclusion was gotten because we knew that m and n were parallel.
If you borrow $900 for 4 years at an
annual interest rate of 5%, how
much will you pay altogether?
Hannah was trying to guess the month of her brother's birthday? She knew that the
month had less than five letters in its name. What is the probability that Hannah guesses
the correct month?
Round to the hundredths place.
Answer:
1/4 or 0.25
Step-by-step explanation:
1)January
2)February
3)March
4)April
5)May
6)June
7)July
8)August
9)September
10)November
11)October
12)December
Months that have less than five letters in its name
June
July
May
Probability= successful outcome ÷ possible outcone
Successful outcome=3
Possible outcome=12
Probability of Hannah guessing her brother's birthday=3÷12=1/4