Fill in the boxes please
[tex]Given: AD \parallel BCAD∥BC and AD=CB[/tex]
To Prove: [tex]AB \parallel DCAB∥DC[/tex]
1. [tex]AD \parallel BCAD∥BC , AD=CB[/tex]
Reason: Given
2. AC = AC
Reason: Reflexive Property of Equality
3. [tex]\angle 2 = \angle 3∠2=∠3[/tex]
Reason: If Lines are parallel, then Alternate Interior Angles are Equal).
4. [tex]\Delta ACD \cong \Delta CABΔACD≅ΔCAB[/tex]
Reason: SAS
5. [tex]\angle 1 = \angle 4∠1=∠4[/tex]
Reason: CPCTE
6. [tex]AB \parallel DCAB∥DC[/tex]
Reason: If Alternate Interior Angles are Congruent, then Lines are Parallel.
Answer:
The missing Statements and reasons are given below
Statement >> Reason
4. CB ≅ BC >> reflexive property of congruence
5. ∠ABC ≅ ∠DCB and ∠ACB ≅ ∠DBC >> Alternate interior angles theorem
6. ΔACB ≅ ΔDBC >> ASA congruence
7. AB ≅ DC and AC ≅ DB >> CPCTC
The graph represents the money collected at the movie theater on Saturday. Find the domain when the maximum number of people allowed in the movie theater is 50 people.
A. 40 ≤ x ≤ 140
B. 0 ≤ y ≤ 50
C. 40 ≤ y ≤ 140
D. 0 ≤ x ≤ 50
3 tickets to the museum cost $12.75. At this rate, what is the cost of:
1 ticket?
5 tickets?
Answer:
1 ticket would be $4.25
5 tickets would be $21.25
Step-by-step explanation:
Hope that help, mind if a get a brainliest now?
Answer:
4.25 for 1 ticket, 21.25 for 5
Step-by-step explanation:
12.75 divided by 3 = 4.25 x 5 = 21.25
What is the domain and range ?
Answer:
domain: [0, ∞)
range: (-∞, 0]
Step-by-step explanation:
the domain is all the possible x-values, which is all the numbers from 0 to infinity.
the range is all the possible y-values, which is all the numbers from negative infinity to 0.
determine whether Δ def to Δ HIG is a reflection, translation, rotation, or glide reflection
what are the reflection line, translation rule. center and angle or rotation or glide translation rule and reflection line?
A. Rotation, 180°, about ( -0.5, 0)
B. glide reflection, translate 8 units to the right then reflect across the line y=4
C. Reflection, x=5
D. Rotation, 180, about (1,4)
20 Points
Do the ratios 18 7 and 2 1 form a proportion?
Hi!
There are a few ways we can do this. The first one is this:
The ratios 18:7 and 2:1 can be represented as fractions: [tex]\frac{18}{7}[/tex] and [tex]\frac{2}{1}[/tex]
To see if they are proportions, we can put the fractions in their simplest form and see if they are equal. However, they are already simplified, and we can see that they are not equal.
Therefore they are not proportions.
The second way we can see is to use cross products. Once again we'll put them as fractions, except we'll set them side by side, like so:
[tex]\frac{18}{7}[/tex] [tex]\frac{2}{1}[/tex]
To see if they are proportions, we simply multiply the diagonals. These would be 18 x 1 and 7 x 2 which equals 18 and 14. These are not equal.
Therefore they are not proportions.
Hope this helps! Have a great day! Let me know if you need any other help :D
Write the following five interest rates in descending order (greatest to least): 5.51%, 5 1/2%, 5 5/8%, 5.099%, 5.6%
Answer:
5 5/8%, 5.6%, 5.51%, 5 1/2%, 5.099%
Step-by-step explanation:
5 5/8% reduces to 5.625…and 5.099% is the least because it isn’t even 5.1%…
So it goes—> 5.625%, 5.6%, 5.51%, 5 1/2% (5.50), and then 5.099%.
The descending order of interest rates is
5 5/8 % > 5.6 % > 5.51 % > 5 1/2 % > 5.099 %
What is Descending Order?
When numbers are arranged in descending order, they are done so from largest to least . We must first compare the numbers before we may arrange them in any order. Compare first, then order. Numbers arranged in descending order: Determine how many digits each number has.
Given data ,
Let the total number of data be = 5
Now , the data can be represented in Set A = { 5.51% , 5 1/2% , 5 5/8% , 5.099% , 5.6% }
On simplifying the elements in the set , we get
5.51 % = 5.51 / 100
5 1/2 % = 5.5 / 100
5 5/8 % = 5.625 / 100
5.099 % = 5.099 / 100
5.6 % = 5.6 / 100
Now , the arranging the numbers in the descending order , we get
Hence , the interest rates in the descending order is
5 5/8 % > 5.6 % > 5.51 % > 5 1/2 % > 5.099 %
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Which object has the most kinetic energy?
A. A motorcycle traveling 26 km/h
B. A car traveling 25 km/h
C. A bicycle traveling 18 km/h
O D. A dump truck waiting at a stoplight
Answer: The answer is B, a car traveling 25 km/h.
Willie's school is selling tickets to a play. On the first day of ticket sales the school sold 5 adult
tickets and 1 student ticket for a total of $80. The school took in $240 on the second day by
selling 14 adult tickets and 6 student tickets. Find the price of an adult ticket and the price of a
student ticket.
Answer:
Step-by-step explanation:
A I think sorry if I’m wrong
i need help please thanks
Answer:
D) each input has only one output.
Step-by-step explanation:
please help me on this
Answer:
$44.68
Step-by-step explanation:
plus you have would have to find out what the money would be 10% off and then you add on the sales tax
If someone can ride a skateboard 2 miles in 10 minutes how many miles can still ride the skateboard and 1.5 miles
Answer:
7 and a half minutes. have a good one.
−3.6−1.9t+1.2+5.1t
Khan academy pls help
Answer:
3.2t - 2.4
Step-by-step explanation:
Andre runs at a constant speed, 5 meters every 2 seconds. how long does it take him to run 91 meters at this rate
Answer: 36.4 seconds
(Unitary method)
5 meters take 2 seconds
1 meter takes 2/5 seconds
91 meter takes 2/5 * 91 --> 36.4 seconds
The time taken by Andre to run 91 meters is 36.5 seconds.
What is the speed of an object?Speed is the rate at which an object's position changes, measured in meters per second. For example, if an object starts at the origin, and then moves three meters in three seconds, its speed is one meter per second. The equation for speed is simple: distance divided by time
Given here: Distance travelled by Andre=5 meters in time t=2seconds
Thus Andre's speed = 5/2
=2.5 m/sec
Thus time taken to run 91 m is = 91/2.5
=36.5 seconds
Hence, The time taken by Andre to run 91 meters is 36.5 seconds.
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Which is in an equation of the line through (0,0) and (-8,-5)?
O A. y = 2
O B. y= -5x
O C. y = $u
D. y=-8x
Step-by-step explanation:
Since the first coordinates are both (0,0) it implies that the line passes through the origin.
The slope of the line is therefore 5/8
The equation:
y-0=5/8(x-0)
y=5/8x
a number card numbered from 1 to 30 is drawn randomly.what is the probability of getting the card having the number which is the multiple of 5 or 6
===================================================
Explanation:
A = multiples of 5 between 1 and 30
A = {5,10,15,20,25,30}
B = multiples of 6 between 1 and 30
B = {6,12,18,24,30}
There are 6 items in set A and 5 items in set B. This gives 6+5 = 11 items overall; however, notice that "30" shows up twice. So we have to subtract off 1 to account for this. This means there are 11-1 = 10 unique values that are either a multiple of 5, a multiple of 6, or a multiple of both. This is out of 30 numbers in the set {1, 2, 3, ... , 29, 30}
The probability we want is 10/30 = 1/3
Line Segment LM is the midsegment of the isosceles trapezoid ABCD. Find
Answer:
115
Step-by-step explanation:
They are opposite angles. You can tell because they are on the same line, and one is smaller than the other. So together they equal 180.
180 - 65 = 115
I hope this helps!!
A truck can be rented from Company A for $110 a day plus $0.20 per mile. Company B charges $80 a day plus $0.50 per mile to rent the same truck. Find the number of miles in a day at which the rental costs for Company A and Company B are the same.
Answer:
130
Step-by-step explanation:
Step 1: write equations:
Company A: y = 0.20x + 110
Company B: y = 0.50x + 80
Step 2: graph your lines
Step 3: Find your intersect point
Step 4: find the points: (100,130)
The number of miles is y, so at 130 miles, both trucks are the same cost
Hope that helps
Which of the following are solutions to the equation below?
Check all that apply.
(5x + 1)2 = 7
O A. x =
7-1
5
B. X=--
V6
5
O c. x=
x=
- 1
D. x=
67| ఈ
E. X=
-7
-1
5
OF. x=
-V7-1
5
What is the circumference of the circle that circumscribes a triangle with side lengths 3, 4, and 5?
Answer:
5π, about 15.708 units
Step-by-step explanation:
A 3-4-5 triangle is a right triangle. When a circle circumscribes a right triangle, the hypotenuse is the diameter of the circle. The circumference of a circle is given by ...
C = πd
For a diameter of 5 units, the circumference is ...
C = π(5) = 5π = 15.708 . . . units
_____
Additional comment
The (3, 4, 5) triple is one of the first Pythagorean triples you run across. It is the smallest integer triple, and the only primitive triple with values in an arithmetic sequence. You can show this is a Pythagorean triple by ...
3² + 4² = 9 +16 = 25 = 5²
That is, these numbers satisfy the Pythagorean theorem relation for sides of a right triangle.
If f(x) = x2 + x - 8, find f(-3).
Answer:
-17
Step-by-step explanation:
it's telling you to replace x with -3.
You have to replace all the x's with -3.
(-3)2 + (-3) - 8 = -17
RSM problem solve it please for me
hello! :p
area of shape one is 12
and area of shape to is 36
In not 100% sure but I thought I could try to help! Don't take my word for it though. :) Have a wonderful day!
***WILL GIVE BRAINLIEST***
A triangular garden is to be split so that the angle at vertex B is bisected. This diagram was supplied by the landscape architect, but you do not have a way to measure the angles at B. You do have the given side lengths, so what is the length of side AD that will allow the angle at B to be bisected?
A.
5 m
B.
4 m
C.
2 m
D.
3 m
The length of side AD that will allow the angle at B to be bisected is 3m, the correct option is D.
What is Angle Bisector Theorem?According to the angle bisector theorem, the angle bisector of an angle of a triangle bisects the opposite side into two parts that are proportional to the other two sides.
The sides of the triangle are 5,7 and (x+4) m.
The BD will be the angle bisector of angle B only if
x/4 = 5/7
x = 5 *4 / 7
x = 20/7 = 2.85 ≈ 3m
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Over 27.5 days, a lake's water level changed by an average of −1.37 centimeters each day.
What was the total change in the water level?
Enter your answer as a decimal in the box.
Answer:
-37.675
Step-by-step explanation:
27.5 X -1.37 = -37.675
The lines graphed below are parallel. The slope of the red line is 3. What is the
slope of the green line?
5
-5
5
O A. - 1 / 1
O B. 3
C.-3
Answer:
The correct answare should be slope of 3.
Step-by-step explanation:
Well if the red line has the slope of 3 and the green and the red are parrallel than the slope of green should also be 3.
[tex] \sf2 + 63 - 36 - 2[/tex]
Here's some points ~
PLEASE HELP!! I need someone who know probability and statistics please.
A store manager claims that 60% of shoppers who enter her store make a purchase. To investigate this claim, she selects a random sample of 40 customers and finds that 40% of them make a purchase. She wants to know if the data provide convincing evidence that the true proportion of all customers who enter her store that will make a purchase differs from 60%. The P-value of this test is 0.0098. Interpret the P-value.
A. Assuming the true population proportion of shoppers who will make a purchase is 0.60, the probability of obtaining a sample statistic of 0.40 in a random sample of 40 customers is 0.0098.
B. Assuming the true population proportion of shoppers who will make a purchase differs from 0.60, the probability of obtaining a sample statistic of 0.40 in a random sample of 40 customers is 0.0098.
C. Assuming the true population proportion of shoppers who will make a purchase is 0.60, the probability of obtaining a sample statistic as extreme as or more extreme than 0.40 in a random sample of 40 customers is 0.0098.
D. Assuming the true population proportion of shoppers who will make a purchase is different from 0.60, the probability of obtaining a sample statistic as extreme as or more extreme than 0.40 in a random sample of 40 customers is 0.0098.
convert the following
1. 0.3 m
2. 37 cm
3. 3.3 cm
4. 4,000 dm
5. 6 hm
6.0.441 L
7. 24.96 L
8. 1,915 ml
9. 13.8 kg
10. 1,698 9
Answer:
I dont need
Step-by-step explanation:
what to convert
Is 24:6 equivalent to 12:3
Answer:
Yes
Step-by-step explanation:
Yes! If you multiply both of the values in the ratio 12:3 by 2, you get the ratio 24:6. A ratio is equivalent to another if one can be multiplied by or divided by the same number to result in the other ratio.
For example, 1:2 and 3:6 are equivalent ratios since 1:2 can be multiplied by 3 to result in 3:6.
Hopefully that's helpful! :)
Jim’s backyard is rectangular with dimensions of 80 feet by 120 feet. He is planning to designate part of the yard to plant a vegetable garden. The garden will be a similar rectangle, using a scale factor of 3/4. How much fencing will he need if he wants to enclose the garden on all four sides?
How many feet does he need?