the last two are
opposite sides parallel and congruent theorem,
parallelogram diagonals converse
Explanation:
The parallelogram diagonals theorem says that if you have a parallelogram, then the diagonals bisect each other. This means the diagonals cut each other in half. Furthermore, it also means the two diagonals meet at the midpoint of each diagonal.
The converse takes this in reverse. If we know the two diagonals cut each other in half, then this must mean we are dealing with a parallelogram.
We can prove this by showing that triangle EHF is congruent to triangle GHD, where H is the intersection of the two diagonals. We use SAS in this case. From there, we then can see that the corresponding pieces of the two triangles are congruent. This leads to the alternate interior angles being congruent. The last piece of the puzzle is the alternate interior angles theorem converse, which shows the opposite sides EF and DG are parallel. A similar proof occurs to show that ED is parallel to FG.
Given m ll n,
find the value of x and y.
Can someone answer this today please
Answer:
x = 15, y = 50Step-by-step explanation:
m and n are parallel and cut by a transversal
Finding x
8x + 12 + 2x + 18 = 180 (consecutive interior angles sum up to 180°)10x + 30 = 18010x = 150x = 15Finding y
8x + 12 = 3y - 18 (vertical angles are equal)8(15) + 12 = 3y - 18132 = 3y - 18150 = 3yy = 50Mrs. Dalloway made 85 tarts. If she wants to fill 10 boxes with
the same number of tarts, how many more tarts should she
make?
Answer:
15
Step-by-step explanation:
85 total so far
she wants 10 full boxes with the same amount
85+15=100
Answer:
15
Step-by-step explanation:
Here guys now can you help me
Answer:
A= -2,5
B= 5,5
Distance= 7
Step-by-step explanation:
What is the least common denominator of 4/8 and 2/3?
Answer:
24
Step-by-step explanation:
8 and 3 have no factors in common, so the least common denominator is their product.
8 * 3 = 24
Answer: 24
Joey has 42 marbles. He has 7 times as many marbles as Sam has. How many marbles does Sam have? *
49
35
7
6
Answer:
sam has 6 marbles
Step-by-step explanation:
if Joey has 7 times as many as Sam then 42/7= 6
quadratics by factoring Solve for x
x^2 – 12x+ 36 = 0
HELPS PLS
Answer:6
Step-by-step explanation:
factor the quadratic
(x-6)(x-6)=0
x=6
Step-by-step explanation:
I have explained everything in the picture, I hope you can see it and if any questions please do ask.
Turn these phrases into algebraic expressions. (PLEASE HELP)
5 more than 2 times a number:
7 less than 5 times a number:
5 times a number, decreased by 2:
2 diminished by 7 times a number:
2 increased by 5 times a number:
Answer:
2x + 5
5x - 7
5x - 2
2 - 7x
2 + 5x
Step-by-step explanation:
you can replace x with whatever variable you want :)
) Dana's Cafe has regular coffee and decaffeinated coffee. This morning, the cafe served
22 coffees in all, 50% of which were regular. How many regular coffees did the cafe serve?
regular coffees
Submit
Answer:
The cafe sold 11 regular coffees.
Step-by-step explanation:
50% of the total 22 coffees is the same as saying half of 22. Divide 22 by 2 to get 11.
Answer:
Write the problem as a mathematical expression.
22/50%
Convert to a decimal.
0.0044
what will be the sign of the product 'of we multiply 70 negative integer and 7 positive integer?
Answer:
Negative
Step-by-step explanation:
It would negative because 70 is a negative integer while 7 is positive and positive multiplied with negative is a negative
Answer:
The sign of the product is positive.
Step-by-step explanation:
Suppose, two negative integers are (-x) and (-y). Then their product will be xy which has a positive sign.
Again take two integers -x, -y and -z. Their product is -xyz.
It means, if positive number of negative integers are multiplied, the result is positive whereas the product of negative number of negative integers is negative.
Which value is included in the solution set for the inequality graphed on the number line?
O -5
O -2
Oo
O3
Answer:
A. -5
Step-by-step explanation:
If -2 was included in the solution, there would be a close circle.
An Open circle means < or >
A Closed circle means ≤ or ≥
A.104
B.95
C.85
D.114
D 114 is the answer
Answer:
i got 85 but if not keep studying and i will solve if help k
Step-by-step explanation:
PLS HELP THIS CONFUSES ME
Answer:
A. 17 sticks
B. 7 sticks
Step-by-step explanation:
Trust me i somehow figured it out in my head. But this is the answer to both questions. Hope this helps you :)
Round 6.13 to one decimal place.
Answer:
6.1
Step-by-step explanation:
because the 3 is below 5 so it sticks to 1
HIIII PLEASE HELPPP HELP HELPPPP!
Answer:
(7,18), (8,19), (9,20),(10,21)
Step-by-step explanation
notice that the pattern for the first row adds 1 and so does the second row, thus, Avery is 11 years older so add 11 to the first row of values can also help in solving the table
Three friends go grocery shopping........... answer the question
Answer:
B
Step-by-step explanation:
unit price is $3.50.
The graph should have the coordinate (1,3.5)
I’m not entirely sure with this question! Giving brainliest answer. :)
You just need to simply distribute the 4:
4(2y + p)
8y + 4p
Hope this helps! :)
Answer:
i dont know if this is right but i tried
4*2y+p= 8y+p
The perimeter of a rectangle is 154 cm. The ratio of the length to the width is 10: 1. Find the length and the width
Answer:
length=70cm
width=7cm
Step-by-step explanation:
total ratio=10 + 1
=11
length(2)=10/11 x 154 cm
=10 x 14cm
=140cm
one length is 140 cm/2=70cm
width(2)=1/11 x 154cm
=14cm
one width is 14cm/2=7cm
The length and the width should be considered as the 70 cm and 7 cm.
Calculation of the length and width:Since
The perimeter of a rectangle is 154 cm.
The ratio of the length to the width is 10: 1.
So here total ratio=10 + 1
=11
Now length 2 should be
=10/11 x 154 cm
=10 x 14cm
=140cm
So,
one length is 140 cm/2=70cm
Now
width(2)=1/11 x 154cm
=14cm
And,
one width is 14cm/2=7cm
hence, The length and the width should be considered as the 70 cm and 7 cm.
Learn more about length here: https://brainly.com/question/2468841
Need help ASAP !!!!!!!
91 divided by 7 is 13 so k is 13
Step-by-step explanation:
Answer:
x 13 y 84
Step-by-step explanation:
Find the area of a rectangular book
that measures 1 4/5 feet by 2 1/3?
The diagonals of a kite are 21cm and 11cm. Find the perimeter of the kite.
Answer:
Perimeter: 64 cm
Step-by-step explanation:
21 + 21 = 42 cm 11 + 11 = 22 cm
42 + 22 = 64 cm
Answer: 64 cm
Step-by-step explanation:
You get the value of the perimeter by adding up all the four sides of the kite. Kites typically have 4 sides, and 2 equal sides, this means that there are two sides of the kite which are 21 cm long, and 2 sides that are 11 cm long. This represented as an expression would be 21+21+11+11, which would simply equal to 64 cm
Find the nth term in the following sequence: 5, 7, 9, 11, 13...
Answer:
3=2n
Step-by-step explanation:
Formula: Tn=T1+(n-1)*d
Tn is the nth term
T1 is the first number of the sequence
n is the nth term as well
D is the common difference
now its Tn=5+(n-1)*2
now solve that so its
Tn=5+2n-2
now its
Tn=3+2n
that's it
is 60% of what number?
Answer:
5/4
Step-by-step explanation:
A t-shirt launcher can launch 6 shirts in 30 minutes. What is the number of shirts per hour?
Answer:
12 shirts
Step-by-step explanation:
If a T-Shirt Launcher can launch 6 shirts in 30 minutes, that means it can launch 12 shirts in an hour, because there are 60 minutes in a hour, and 30 minutes is half os 60 minutes, so we just do 6 x 2 = 12.
Answer:
There are 12 shirts launched in an hour.
Step-by-step explanation:
We can view this as a ratio. [tex]\frac{6}{30}[/tex] There are 60 minutes in an hour. So, let's double it. [tex]\frac{12}{60}[/tex] is our new answer. And so, we have our answer.
Factor -2x^3+8x^2-8x
Step-by-step explanation:
-2x³ + 8x² - 8x
= -2x(x² - 4x + 4)
= -2x(x - 2)².
3. The 30 members of a class are going on a field trip. The total cost of the trip is $457.50. What
is the cost per student?
Answer:
$15.25
Step-by-step explanation:
If u take 457.50 and divide it by 30 u get 15.25
Hope this helps!
2(3x+8)=6x+16
how many solutions does this equation have
Answer:
infinite
Step-by-step explanation:
infinite
but solving for it we can get
3x + 8 = 3x + 8 (divided both sides by 2)
3x = 3x (subtracted 8)
x = x
1 = 1
therefore, for all values of x, the equation will be true so there are
infinite solutions
Josh plans to watch 3 movies each month. Write an equation to represent the total number of movies n that he will watch in m months.
One less than the square of a number
Answer:
the number would be the same
Step-by-step explanation:
Solve the triangle for side z
Answer:
4?
Step-by-step explanation:
Isn't this the same question as another one?
