Answer:
AC ≅ BD
Step-by-step explanation:
A parallelogram is a shape that have two pairs of parallel sides with opposite sides having the same length and opposite angles having the same size.
A rectangle is a shape that have two pairs of parallel sides with opposite sides having the same length and each of the four angles is 90°.
A parallelogram is said to be a rectangle if the diagonals of the parallelogram are of the same size (congruent). Therefore in parallelogram ABCD, ABCD is a rectangle if AC is equal to BD. where AC and BD are the diagonals
AC ≅ BD or say Measure of AC = Measure of BD diagonal.
Given that:
ABCD is a parallelogram
AC and BD intersect at E.
A parallelogram is defined as a closed geometric figure that has got 4 straight sides and opposite sides are parallel to each other.
Set of all parallelogram is superset of set of all rectangles.
There is a property about diagonals of a parallelogram that states as;
" A parallelogram is a rectangle if and only if both of its diagonals are equal in size".
Now given parallelogram is ABCD thus its diagonals are AC and BD.
Thus for ABCD to be rectangle we need:
magnitude of AC = magnitude of BC
or
AC ≅ BD
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Carlos is five years older than twice his sister's age. Carlos is 13.
Which equation and solution correctly identifies his sister's age?
A.) 2 x + 5 = 13; x = 4
B.) 2 x - 5 = 13; x = 9
C.) 2 x - 5 = 13; x = 4
D.) 2 x + 5 = 13; x = 9
this is a multiple choice answer
Answer:
a. ) 4
Step-by-step explanation:
13-5= 8
8/2=4
Answer:
A.) 2 x + 5 = 13; x = 4
Step-by-step explanation:
A washing machine requires 27.5 minutes
to wash one load of laundry. A clothes
dryer requires 60% more time than the
washing machine to dry one load of
laundry. What is the total amount of time
it takes to wash and dry one load of
laundry?
What is the surface area of the cylinder
Answer:
T. S. A. =2πrh+2πr2
V=Bh
V = Base×h
V= (lw) × h
V= lwh
Find the area of the following kite. Please help me
Answer:
56
Step-by-step explanation:
The larger half is 4*10=40
The smaller half is 4*4=16
40+16=56
The area of the given kite is 56 square units and it has two diagonals of lengths 14 and 8 units.
The are of kite is product of diagonals by two.
Area of kite = (Diagonal 1 × Diagonal 2)/2.
Diagonal 1= 10+4
=14 units.
Diagonal 2= 4+4
=8 units.
Now plug in these values in above formula:
Area of kite = (14×8)/2
=112/2
=56 square units.
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if your have 4096 cube
A) find the maximum dimensions of a cube u can make?
B) the big cube in a) is re-arrange into a cuboid which has a 4 cube height and a square base area, what is the maximum area of cuboid base
Answer:
a) [tex]\sqrt[3]{4096} = 16[/tex]
b) 4096/ 4 = 1024
Step-by-step explanation:
What’s the equation to (–5, –2), (–5, 7) ?
Answer:
x=-5
Step-by-step explanation:
Since the y value goes from -2 to -7 while the x value stays constant, no matter what y value you plug in x will be -5. Therefore, the equation of this line is x=-5. Hope this helps!
A mother duck lines her 13 ducklings up behind her. In how many ways can the ducklings line up?
Answer:
The answer is 13! which equals 6227020800.
find the size of angle yxz give your answer to 3 significant figures 20cm 8cm
tan X = |YZ| / |XZ| = 20/8 = 5/2
X = arctan(5/2) = 68.2°
Answer: 68.2°
The size of angle ∠YXZ is 68.3° given that sides YZ=20cm and XZ=8cm by using trigonometric ratios.
What are trigonometric ratios?In a right angled triangle, if A is an angle other than right angle then trigonometric ratios are
sin A =[tex]\frac{opposite side}{hypotenuse}[/tex]
cos A=[tex]\frac{adjacent side}{hypotenuse}[/tex]
tan A =[tex]\frac{opposite side}{adjacent side}[/tex]
Calculate the angle ∠YXZGiven YZ=20cm and XZ=8cm
Since the triangle is right angled, and opposite side and adjacent side are given we can find tan(∠YXZ )
tan (∠YXZ ) =20/8 =2.5
∠YXZ = arctan (2.5) =68.2°
Hence the size of angle ∠YXZ is 68.2° given that sides YZ=20cm and XZ=8cm.
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What is the base of a triangle with a height of 14 cm and an area of 42 square cm?
Answer:
[tex]6cm[/tex]
Step-by-step explanation:
[tex]area = \frac{1}{2} \times base \times height \\ 42 = \frac{1}{2} \times b \times 14 \\ 42 = \frac{14b}{2} \\ 42 = 7b \\ \frac{42}{7} = \frac{7b}{7} \\ base = 6cm[/tex]
hope this helps
Answer:
6
Step-by-step explanation:
If 8=−3r+7r, then r= [blank] −−−−−−.
Answer:
[tex]r = 2[/tex]
Step-by-step explanation:
[tex]8 = - 3r + 7r \\ 8 = 4r \\ 4r = 8 \\ \\ r = \frac{8}{4} \\ \\ r = 2[/tex]
The difference of two timber’s is 8. When twice the first number is added to three times the second number, the result is 51. What are the two numbers?
Answer:
First number:15
Second number: 7
Step-by-step explanation:
To find the 2 numbers, we can use system of equations.
Let's use x for the first number and y for the second number. Our first equation would be:
x-y=8
This equation comes from the first sentence: the difference of the 2 numbers is 8. The second equation would be
2x+3y=51
This equation comes from the second part of the question.
We can use elimination method to find x and y.
x-y=8
2x+3y=51
Let's eliminate x. To do so, the x in both equations must be equal to each other. Since one is x and another is 2x, we must multiply the first equation by 2 to get the same x.
2x-2y=16
2x+3y=51
Now that the x are the same, we can subtract the equations.
-5y=-35
y=7
With our y value, we can find x by plugging y into any of the equations.
x-7=8
x=15
Since we found our x and y, the first number is 15 and the second number is 7.
how do you multiply decimals like whats 6.8 times 1.6.
Answer:
10.88
Step-by-step explanation:
u do it like long multiplication just with decimals
6.8 times 1.6 = 10.88
Answer: 10.88
Step-by-step explanation:
6.8 x 1.6 = 10.88
you can multiply them without the decimals first then when you got the answer, you can count how many decimal places are there and place a decimal place where shoud be
Simplify the expression
12x^-6 y^10 •3x^7y
A : The distance around a closed figure B: The space within a closed figure C : Measure using the distance formula D : measure in units squared
Answer:
C : Measure using the distance formula
Step-by-step explanation:
A Venn diagram is a diagram which shows the relation of all different sets
Just like it is given in the attachment there is a relation between the perimeter and the area.
The distance formula is
[tex]d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2 }[/tex]
where,
[tex](x_1, y_1)[/tex] is the first point coordinates
[tex](x_2, y_2)[/tex] is the first point coordinates
By using the distance formula as discussed above shows the intersection of the Venn diagram
Hence, the correct option is C.
f(x) = = -x + 9
g(x) = x2 - 6x + 9
What is the value of g(f(0))
=========================================================
Explanation:
f(x) = -x+9
f(0) = -0+9 .... replace x with 0
f(0) = 9
We will replace f(0) with 9 in the g(x) function. In other words, we plug in x = 9 into the g(x) function
This is because g( f(0) ) = g( 9 )
g(x) = x^2 - 6x + 9
g(9) = 9^2 - 6*9 + 9 ... replace x with 9
g(9) = 81 - 54 + 9
g(9) = 36
Therefore, g(f(0)) = g(9) = 36 or simply g(f(0)) = 36
-----------------------
Another method is to compute g(f(x)) algebraically first
g(x) = x^2 - 6x + 9
g(f(x)) = ( f(x) )^2 - 6*( f(x) ) + 9 .... replace every x with f(x)
g(f(x)) = ( -x+9 )^2 - 6*( -x+9 ) + 9 .... replace f(x) with -x+9
g(f(x)) = x^2 - 18x + 81 + 6x - 54 + 9
g(f(x)) = x^2 - 12x + 36
then we plug in x = 0
g(f(x)) = x^2 - 12x + 36
g(f(0)) = 0^2 - 12*0 + 36 ... replace x with 0
g(f(0)) = 36
I’m a struggling please help :(
Answer:
It's constant
Step-by-step explanation:
at those points, the graph is going ---------------- so, it is constant.
// have a great day //
4 (9x+6) = 36x - 7 what does x =
Um homem estava indo para a Bahia com suas sete irmãs. Cada irmã carregava sete caixas, cada caixa tinha sete gatos,cada gato estava com sete filhotes. Quantos estavam indo para a Bahia?
Answer:
2,752
Step-by-step explanation:
English Translation
A man was going to Bahia with his seven sisters. Each sister carried seven boxes, each box had seven cats, each cat had seven puppies. How many were going to Bahia?
Solution
1 man was going to Bahia
With his 7 sisters.
Total nunber of humans = 1 + 7 = 8 humans
Each of the 7 sisters carried 7 boxes.
Each of the 49 boxes had 7 cats
Total number of cats = 7 × 7 × 7 = 343 cats
Each of the 343 cats had 7 puppies
Total number of puppies = 7 × 343 = 2401 puppies.
Total number of living things going to Bahia
8 humans + 343 cats + 2401 puppies
= 2,752
Hope this Helps!!!
The total cost of a pair of jeans and three shirts is $114. The shirts each cost the same amount, and the jeans are $45.
What is the price per shirt?
a.) $69
b.) $23
c.) $53
d.) $159
Answer:
23
Step-by-step explanation:
j = jeans
s = shirt
j + 3s = 114
jeans = 45
45+ 3s = 114
Subtract 45 from each side
45-45+3s = 114-45
3s =69
Divide each side by 3
3s/3 =69/3
s = 23
Each shirt is 23
Answer:
b.) 23
Step-by-step explanation:
114-45=69
69/3=23
Which is equivalent to 3v8
Answer:
C.
Step-by-step explanation:
= [tex]\sqrt[3]{8}^{x}\\[/tex]
= Since [tex]\sqrt[3]{} = ^{1/3}[/tex]
= So, It becomes :
= [tex]8^{\frac{x}{3}[/tex]
Identify the relationship complementary, or vertical and find the value of x.
Wouldn’t it be complementary?
Also, I know how to find x, I’m just wondering what’s the relationship.
Answer:
It is complementary.
Step-by-step explanation:
It is since the two angles add up to 90 degrees. If they were vertical angles they would be opposite and be made by intersecting lines. Complementary angles - Angles next to each other that add up to 90 degrees. Supplementary angles : Angles that are next to each other adding up to 180 degrees.
Members of a rugby league are thinking about adding a new franchise in Silvergrove. They hired a polling firm to help gauge Silvergrove residents' interest in rugby. The firm contacted 475 randomly chosen Silvergrove residents and asked them whether they had ever attended a rugby match. Of 434 respondents had never attended a rugby match, estimate (including a margin of error) the proportion of the population of Silvergrove that never attended a rugby match.
The margin of error is 1/√n, where n is the number of people
Margin of error = 1/√475 = 0.0458
Multiply by 100 to get percent:
0.0458 x 100 = 4.58% round to 4.6%
The answer is c.
A group of 9 students has these numbers of children in their families:
3, 2, 4, 2, 1, 5, 1 ,3 ,7
_________________________________
Answers:Median=3
Mean=3.12
Step by step explanation:
1. Arranging the data in ascending order:
=1,1,2,2,3,3,4,5,7
N(total number of items)=9
Now,
Median= (N+1/2) th item
=(9+1/2)th item
=(10/2) th item
=5 th item.
Median= 3
------------------------------------------------------------
2. Given data: 3,2,4,2,1,5,1,3,7
Summation FX= 28
N(total number of items)=9
Now,
Mean= summation FX/N
= 28/9
=3.12
Mean =3.12
Hope it helps....Good luck on your assignment
_______________________________
Step-by-step explanation:
median (need to be arranged first):
1,1,2,2,3,3,4,5,7 (9 numbers)
median=9+1/2
=5 (5th)
=3
mean=x/n
=(1+1+2+2+3+3+4+5+7)/9
=28/9
=3.111
Could someone help me please
Answer:
Cannot
Can
Cannot
Cannot
Step-by-step explanation:
10+3 < 18
16+8>23
6.5+3.4 < 10.8
7+7< 23
Answer:
what's the question men let me no
Please help me answer these two questions!! Brainliest to be given!!
Answer:
a=2
b=93
I hope this helps you
Step-by-step explanation:
Answer:
1. 2
2. 93
Step-by-step explanation:
First we have to put the values of x and y into the equation
4(3)-2(5)
(4×3)-(2×5)
12-10=2
Now the second one
2(3)²+3(5)²
18+75=93
Find the volume of a right circular cone that has a height of 6.5 cm and a base with a
radius of 8.5 cm. Round your answer to the nearest tenth of a cubic centimeter
Answer:
491.8cm
Step-by-step explanation:
v=1/3*π*r^2*h
v=1/3*π*8.5^2*6.5
491.8
Answer:
491.8
Step-by-step explanation:
i did the question it was right
Kelsie sold digital cameras on her website . She bought the cameras for $65 each and includes a 60% markup to get the selling price . To the nearest dollar , what was the selling price for one camera ?
Answer:
$104
Step-by-step explanation:
First, convert 60% to a decimal.
60% = 0.6
Now, multiply the cost to buy the camera ($65) by the decimal.
$65 × 0.6 = $39
Now, add this amount to the amount it cost to buy the camera.
$65 + $39 = $104
The selling price for the camera will be $104.
Answer:
The answer is $104
Solve for n. 11(n – 1) + 35 = 3n plz help
[tex]answer \\ = - 3 \\ solution \\ 11(n - 1) + 35 = 3n \\ or \: 11n - 11 + 35 = 3n \\ or \: 11n + 24 = 3n \\ or \: 11n - 3n = - 24 \\ or \: 8n = - 24 \\ or \: n = \frac{ - 24}{8} \\ n = - 3 \\ hope \: it \: helps[/tex]
Antone is taking four of his friends to see the latest movie. Each ticket is $5.50, and he is paying for all five tickets. How much money does Antone need to bring to pay for all of the tickets? A. $22.00 B. $27.50 C. $88.00 D. $110.00
Answer: $27.50
Step-by-step explanation:
For all 5 tickets, Antone will pay
5 * 5.50 = 27.50
Answer:
B
Step-by-step explanation:
2,7, 12, 17, 22, 27, 32, 37, ...
f(1) =
Common Difference:
Explicit Rule:
Answer:
Common difference=5.
