The following is an incomplete paragraph proving that the opposite sides of parallelogram ABCD are congruent:
Parallelogram ABCD is shown where segment AB is parallel to segment DC and segment BC is parallel to segment AD.
According to the given information, segment AB is parallel to segment DC and segment BC is parallel to segment AD. Construct diagonal A C with a straightedge. _____________. Angles BAC and DCA are congruent by the Alternate Interior Angles Theorem. Angles BCA and DAC are congruent by the same theorem. Triangles BCA and DAC are congruent according to the Angle-Side-Angle (ASA) Theorem. By CPCTC, opposite sides AB and CD, as well as sides BC and DA, are congruent.
Which sentence accurately completes the proof? (5 points)
Angles BAC and DCA are congruent by the Same-Side Interior Angles Theorem.
Diagonal BD is congruent to itself by the Reflexive Property of Equality
Diagonal AC is congruent to itself by the Reflexive Property of Equality.
Angles ABC and CDA are congruent according to a property of parallelograms (opposite angles congruent).
Answer:
The third option is the answer.
Step-by-step explanation:
I just took the test and got it right.
Answer:
Diagonal AC is congruent to itself by the Reflexive Property of Equality.
Step-by-step explanation:
I'm taking the test
Which one is the answer to it
Answer:
- 6 and - 4
Step-by-step explanation:
Given
- [tex]\frac{1}{2}[/tex] x + 4 ≥ 6 ( subtract 4 from both sides )
- [tex]\frac{1}{2}[/tex] x ≥ 2
Multiply both sides by - 2 to clear the fraction, reversing the symbol as a result of multiplying by a negative quantity.
x ≤ - 4
The only values from the set which satisfy the inequality are
- 4 and - 6
Mark is painting his house. He used 5 gallons of paint to cover 1,750
square feet and he used 7 gallons to cover 2,450 square feet.
How many square feet does each gallon of paint cover?
Answer:
350 square feet
Step-by-step explanation:
divide the square feet by the gallons of paint
PLEASE HELP, GIVING BRAINLIEST!!!
These triangles are congruent by _____.
A. ASA
B. AAS
C. SSS
D. Not enough information
E. None of these
Answer:
A. ASA
Step-by-step explanation:
The point in which they are connected is equal on both sides, it is an even 90-degree angle. The two lines indicate that the side is equal on both triangles and the red curve indicates that the angle is equal on both triangles. So it is congruent by ASA.
What number should be placed in the box to help complete the division calculation?
Answer:
13
Step-by-step explanation:
10x18= 180
193-180= 13
Pls helpppppp me, i will mark brainliest
Answer:
#1
Sorry if wrong!!
Given: 5=13
Which lines must be parallel?
A) r and s
B)p and q
C)p and r
D) q and s
Answer:
r and s
Step-by-step explanation:
Given the function f(x) = 2 x + 61 – 4, for what values of x is f(x) = 6?
Answer:
x = -51/2
Step-by-step explanation:
f(x) = 2x + 61 - 4
Since we are looking for the values where f(x) = 6, replace f(x) with 6 in the equation:
6 = 2x + 61 -4
Next combine like terms:
6 = 2x + 57
Then move subtract 57 from both sides to isolate the variable:
-51 = 2x
Finally, divide both sides by two to get x by itself:
x =-51/2
Answer:
69
Step-by-step explanation:
Replace x with 6.
2(6) =12 +61= 73-4=69
There are 4 milk chocolates to every 2 dark in a box of chocolates. There are 34 dark chocolates in the box. How many milk chocolates are in the box?
Which symbol correctly fills in the blank? 372.5. <37.25
Answer:
>
Step-by-step explanation:
flip the symbol because 372 is bigger than 37
Please help me ASAP with my homework!
High school Geometry.
Geometric proofs.
Warning (It's difficult)
Worth 10 points
Answer:
I can't see what the proof is for the first picture :( but I answered the second one.
Step-by-step explanation:
statement reasons
BX bisects ABC given
XBC + ABX = ABC angle bisector theorem
ABC divided by 2 = BX division property
BX = 45 symmetric property
i hope this helps
The product of a number p and six is written as
Answer:
6p
Step-by-step explanation:
Putting a variable next to the coefficient is the same thing as multiplying. You always put the number before the letter.
Hope that helps and have a great day!
The product of p and 6 is written as 6p.
What is Multiplication?
To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
The expression as;
'The product of a number p and six'
Now, The multiplication of two number is written with sign ( × ).
Thus, The product of a number p and six is written as;
⇒ p × 6
⇒ 6p
Thus, The product of p and 6 is written as 6p.
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Solve this 2 1/3 + 3/5
Answer:
2 14/15
Step-by-step explanation:
2 1/3 + 3/5
~Turn into improper fractions
7/3 + 3/5
~Find common denominators
35/15 + 9/15
~Add
44/15 or 2 14/15
Best of Luck!
last week, the price of oranges at the farmers market was $1.75 per pound. this week there were decreased by 20%. what are the prices of oranges this week?
Number 3 please I need it real quick
Answer
D
Step-by-step explanation:
Lily sold 5 purses in her first week of business and 15 purses in her second week of business.If p represents the profit she makes from selling one purse, how could lily write and simplify a variable expression that represents her current profit after two weeks in business?
Answer:
20p = x
Step-by-step explanation:
Since Lily sold 5 purses in week one and 15 purses in week two that adds up to be a total of 20 purses sold in two weeks. Since p represents the profit for each purse she can use the expression below which simply multiplies the profit per purse (p) by the total amount of purses sold in the two weeks which would give her the total amount of profit (x) that she made from all of her sales.
20p = x
The field inside a running track is made up of a rectangle 84.39m (meters) long and 73m (meters) wide, together with a half-circle at each end. The running lanes are 9.76m (meters) wide all the way around. Question: What is the area of the running track that goes around the field? Explain or show your reasoning.
Answer:
3886.53 [tex]m^{2}[/tex]
Step-by-step explanation:
The running track consist of two semicircles and a rectangle.
So that;
Diameter of the semicircles = width of the rectangle = 73 m
radius = [tex]\frac{diameter}{2}[/tex]
= [tex]\frac{73}{2}[/tex]
= 36.5 m
But the two semicircles form a circle, so that;
Circumference of a circle = 2[tex]\pi[/tex]r
Circumference of the circle formed by the semicircles = 2 x [tex]\frac{22}{7}[/tex] x 36.5
= 229.43 m
Thus,
length of the running track = circumference of the circle formed + length of the two sides of the rectangle
= 229.43 + 84.39 + 84.39
= 398.21 m
The length of the running track is 398.21 m.
Therefore;
Area of the running track = length x width
= 398.21 x 9.76
= 3886.5296
The area of the running track is 3886.53 [tex]m^{2}[/tex].
Which of the following are valid names for the given triangle? Check all that apply.
Answer:
a, b, e,f
Step-by-step explanation:
i dont have one
please help me , it’s either suppose to be a fraction or decimal !
Answer:
165.43
Step-by-step explanation:
36.115/3.1=11.65
To check: 7.1*65=82.715
So...
14.2*11.65=165.43
Darius is building a square launch pad for a rocket project. If the area of the pad is 121 square centimeters, what is it's sides length? Use the area formula, A=s^2, and show your work.
Answer:
11 cm
Step-by-step explanation:
A = [tex]s^{2}[/tex]
Known that A = 121 [tex]cm^{2}[/tex],
121 [tex]cm^{2}[/tex] = [tex]s^{2}[/tex]
s = [tex]\sqrt{121}[/tex] cm = 11 cm
Done :)
The side length of a square launch pad is 11 centimeter.
Here,
Darius is building a square launch pad for a rocket project.
The area of the pad is 121 square centimeters.
We have to find, it's side length.
What is Area of square?
The area of a square = side x side
Since each side of a square is the same, it can simply be the length of one side squared.
Now,
The area of the pad is 121 square centimeters.
We use the area formula,
⇒[tex]A = s^{2}[/tex]
⇒ [tex]s^{2} = 121[/tex]
⇒[tex]s = \sqrt{121}[/tex]
⇒ [tex]s = 11[/tex]
Hence, The side length of a square launch pad is 11 centimeter.
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5.) The temperature drops from 9 degrees F to -5 degrees. By how much
does the temperature drop?
Answer:
The temperature dropped 14 degrees.
Step-by-step explanation: x = 14
x + (-5)= 9
The absolute value (distance from zero) of -5 is 5.
The absolute value of 9 is 9.
To find the drop in temperature, add the absolute values of both numbers.
5x+8=2x-1 solve for x
Answer:
x=-3
Step-by-step explanation:
5x+9=2x
9=-3x
x=-3
What kind of theorem is this ? AAS, SAS, SSS,ASA,HL,or NP
Answer:
Xjxhxbxbxbxbxjxjs sjsnsndbxnxj
please help, thank you...
Answer:
I think the answer is either 26 or 28 (for the second one)
The answer is 9 for the third one
and 7 for the last one.
as for the first one, sorry, but I don't know the answer :(
Step-by-step explanation:
I hope I was able to help!
8 9/10 x 1 4/5
Exact Form:
801/50
Decimal Form:
16.02
Mixed Number Form:
16 1/50
sorry i only did 1
x+3 is a factor of p(x)= x3-7x2+15-9
A. True
B. False
Jonathan draws a ticket from a box to select the door prize winners at a party. The tickets are numbered from 1 to 25. What is the expected value that the tickets drawn will have numbers less than 5 if he draws tickets 40 tickets
Answer:
6
Step-by-step explanation:
Given that there are tickets in the draw which are numbered from 1 to 25.
Probability of an event E is given by the formula:
[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}[/tex]
Probability of each number can be found out as:
Number of favorable cases for each number is 1 and total number of cases here is equal to the total number of tickets i.e. 25.
[tex]P(Each\ Number) = \dfrac{1}{25}[/tex]
Now, the numbers less than 5 mean 1, 2, 3 and 4.
Therefore, 4 number of favorable cases.
[tex]P(1, 2, 3\ or\ 4) = \dfrac{4}{25}[/tex]
Now, it is given that 40 tickets are drawn.
Number of times, the numbers less than 5 are expected:
[tex]\dfrac{4}{25}\times 40 \approx 6[/tex]
12 students play on the schools basketball team and 38 students play on the football team. what is the ratio of basketball players to football players?
Answer: 6:19
Step-by-step explanation:
Students playing basketball is 12
Students playing football is 38
12/38
Since 2 is a common factor of both 12 and 38. Therefore 12 and 38 are divisible by 2
6/19
6:19
The radius of the puddle is zero when time is zero but expands at a rate of one-quarter unit per second instead of one-half unit per second. By what factor does the denominator of the resultant composite function A(r(t)) change from that in the opening scenario?
Given that the radius of the puddle expands, originally, at a rate of 1/4 unit/second instead of 1/2 unit/second.
The current rate of expension of the radius,
\frac {r(t)}{t}=frac 1 4 unit/second ...(i)
The resultant composite function is area, A(r(t)).
The area of a circular region having radius r is,
[tex]A(r)=\pi r^2[/tex]
If the radius is the function of time, then the composite function is
[tex]A(r(t))=\pi \(r(t))^2[/tex]
To determine the rate of change of area with respect to time, differentiate the composite function A(r(t)) once with respect to time, we have
[tex]\frac {d\{A(r(t))\}}{dt}=\pi \left(2\frac {d\{r(t)\}}{dt}\right)[/tex]
So, the composite function is changing twice of the rate of change of the radius.
By using equation (i), if r(i) is changing with R= 1/4 unit / second.
Then, A(r(t)) will change 2 x 1/4 = 1/2 square unit/second.
20 POINTS AND BRAINLIEST
What is the solution to the inequality shown?
-2(x + 3) < 6 - X
X > -12
x < -12
X > 12
x < 12
Answer: x > -12
Step-by-step explanation:
Amanda buys some back-to-school clothes. She buys three T-shirts at $9.00 each, two pairs of jeans at $20.00 each, and five pairs of socks at $3.50 each. What is the total cost of her purchases?
Answer:
the correct answer is 84.5$
Step-by-step explanation:
The way how i got this because 3*9 for the t shirts
2*20 for the jeans
and 5*3.50 for the socks
Answer:
$84.50
Step-by-step explanation:
So we know she buys 3 nine dollar shirts
$9.00 times 3 shirts is $27.00
She also buys two pairs of jeans
$20.00 times 2 is $40.00
Finally she buys 5 pairs of socks
$3.50 times 5 is 17.50
so lets add it all up
27.00
40.00
17.50
=84.50