There are markings given in the diagram.
(Angle) ∠A and ∠D are =
(Side) AC and DB are =
(Side) In a trapezium, the opposite sides are equivalent, meaning AB and DC are =
So you got side, angle, and another side.
You can form the SAS (Side-Angle-Side) similarity theorem.
You can also use the reasons above to make a Statement-Proof table
please help! due by the end of today, 16 points
A blueprint for a building includes a rectangular room that measures 3 inches long and 5.5 inches wide. The scale for the blueprint says that 1 inch on the blueprint is equivalent to 10 feet in the actual building. What are the dimensions of this rectangular room in the actual building? (Hint; dimensions means both how long and how wide)
Answer:
30 ft. x 55ft
Step-by-step explanation:
3 x 5.5
1 inch = 10 ft
3 * 10 = 30
5.5 = 55
30' x 55'
Conservationists have despaired over destruction of tropical rain forest by logging, clearing, and burning." These words begin a report on a statistical study of the effects of logging in Borneo. Here are data on the number of tree species in 12 unlogged forest plots and 9 similar plots logged 8 years earlier:
Col1 Unlogged 2218 222015121 13 13 1913 19 15
Col2 Logged 17 4 181418151510 12 Use the data to give a 90% confidence interval for the difference in mean number of species between unlogged and logged plots. Compute degrees of freedom using the conservative methoo. Interval: ________to__________.
Answer: -8.16 to 15.84
Step-by-step explanation: Confidence Interval is an interval in which we are a percentage sure the true mean is in the interval.
A confidence interval for a difference between two means and since sample 1 and sample 2 are under 30, will be
[tex]x_{1}-x_{2}[/tex] ± [tex]t.S_{p}\sqrt{\frac{1}{n_{1}}+\frac{1}{n_{2}} }[/tex]
where
x₁ and x₂ are sample means
t is t-score
[tex]S_{p}[/tex] is estimate of standard deviation
n₁ and n₂ are the sample numbers
The estimate of standard deviation is calculated as
[tex]S_{p}=\sqrt{\frac{(n_{1}-1)s_{1}^{2}+(n_{2}-1)s_{2}^{2}}{n_{1}+n_{2}-2} }[/tex]
where
s₁ and s₂ are sample standard deviation of each sample
Degrees of freedom is:
[tex]df=n_{1}+n_{2}-2[/tex]
df = 12 + 9 - 2
df = 19
Checking t-table, with 90% Confidence Interval and df = 19, t = 1.729.
The mean and standard deviation for 12 unlogged forest plots are 17.5 and 3.53, respectively.
The mean and standard deviation for 9 logged plots are 13.66 and 4.5, respectively.
Calculating estimate of standard deviaton:
[tex]S_{p}=\sqrt{\frac{(12-1)(3.53)^{2}+(9-1)(4.5)^{2}}{12+9-2} }[/tex]
[tex]S_{p}=\sqrt{\frac{299.07}{19} }[/tex]
[tex]S_{p}=[/tex] 15.74
The difference between means is
[tex]x_{1}-x_{2}[/tex] = 17.5 - 13.66 = 3.84
Calculating the interval:
[tex]t.S_{p}\sqrt{\frac{1}{n_{1}}+\frac{1}{n_{2}} }[/tex] = [tex]1.729.15.74.\sqrt{\frac{1}{12} +\frac{1}{9} }[/tex]
[tex]t.S_{p}\sqrt{\frac{1}{n_{1}}+\frac{1}{n_{2}} }[/tex] = [tex]27.21\sqrt{\frac{21}{108} }[/tex]
[tex]t.S_{p}\sqrt{\frac{1}{n_{1}}+\frac{1}{n_{2}} }[/tex] = [tex]27.21\sqrt{0.194}[/tex]
[tex]t.S_{p}\sqrt{\frac{1}{n_{1}}+\frac{1}{n_{2}} }[/tex] = 12
Then, interval for the difference in mean is 3.84 ± 12, which means the interval is between:
lower limit: 3.84 - 12 = -8.16
upper limit: 3.84 + 12 = 15.84
The interval is from -8.16 to 15.84.
Part B
Notice that two line segments are formed on each transversal between the central parallel line and the outer parallel
lines. Measure the lengths of the four line segments.
ANSWER. Part b
Line segment PM = 2.2 length
ML = 2.2
ON = 2
NK = 2
Answer:60
Step-by-step explanation:
Plz help and explain
Answer:
p(x) = (x-a)(x-b)(x-7) - a and b can be whatever you want, any real numbers
Step-by-step explanation:
If you plug in 7, you need to multiply the other two numbers by 0, which will result in 0. There are 3 factors since it must be a 3rd degree polynomial
Hope this helps! Please give brainliest!
PLEASE HELP WITH #6 and #8, DUE SOON!!
how do i answer that I don't even know that sorry
Answer:
I would say triangle VQB is congruent to triangle TJE. Not entirely sure about the transformation, try reflecting it over y=x or y = -x,, translate it, and rotate it
(Can't look at it right now fully cause i have my own math hw to do lol)
For 8, FAKE is congruent to CMDI, (Transformations from FAKE to CMDI) then its a reflection over the y axis, and reflect over the x axis.
Step-by-step explanation:
:)
#teamtrees #WAP (Water and Plant)
What is: 8% of $450?
Answer:
36$
Step-by-step explanation:
Answer:
36 next time use a calculator
Write the following statement in its If-Then form.
A polygon with four sides is a quadrilateral.
Answer:
If a polygon has four sides then it is a quadrilateral
Bob is hiking down a 15-mile country trail. He could hike at 5 mph for the first 2 hours and then go the rest of the way at 3 mph or he could just go the whole way at 4 mph. How long would each of these options take? Which option is the faster?
Answer:
the fastest is starting at 5 mph then going three because it would take 3.66666666667 hours
Step-by-step explanation:
the 4mph would take 3.75 hour while the 5mph then 3mph only takes 3.666666667
Answer:
The First Option: 3 2/3 hours
The Second Option: 3 3/4 hours
The First Option is fastest.
Step-by-step explanation:
Option 1:First part- 5mph for 2 hours 5·2=10 (D=T·S)
15-10=5 because 15 is the total distance and 10 is the first part.(T=D/S)
Second part- 5/3= 1 2/3
5/3 because 5 is the distance left, and 3 is the speed. The time is 1 2/3 hours.
Option 2:4mph 15m (T=D/S)
15/4= 3 3/4 hours
Can somebody please help me with this math question
Dc=ac
Step-by-step explanation:
Use the function g(x)=5x−2 to complete the table. please help
Answer:
g = 5x-2
Step-by-step explanation:
The average cost of tuition and room and board at a small private liberal arts college is reported to be $8,500 per term. A financial administrator believes that the average cost is higher. A study conducted using 350 small liberal arts colleges showed that the average cost per term is $8,745. The population standard deviation is $1,200. Let α
Answer:
D. +3.82
Step-by-step explanation:
The computation of the test static for this test is shown below:
Data provided in the question
[tex]\bar x[/tex]= $8,745
[tex]\mu[/tex] = $8,500
[tex]\sigma[/tex] = $1,200 and n = 350
Now based on the above information, the test static for this test is
[tex]z = \frac{\bar x - \mu}{\frac{\sigma}{\sqrt{n} } }[/tex]
[tex]z = \frac{\$8,745 - \$8,500}{\frac{\$1,200}{\sqrt{350} } } \\[/tex]
= 3.82
= +3.82
Hence, the test static for this test is +3.82
We simply applied the above formula so that the correct value could come
And, the same is to be considered
A
If the contractor cuts the tile along one of its diagonals, what figures result?
A. two triangles that are similar but not congruent
B. two congruent triangles
C. two quadrilaterals that are similar but not congruent
D. two congruent quadrilaterals
how many kilometers is 23 miles
Answer:
37.0149 kilometers
Step-by-step explanation:
What is the slope of the line that passes through the points (5, −11) and (−9, 17)?
Mark all that apply to the question in the photo
Answer:
A and C
Step-by-step explanation:
There should be a 3:1 ratio from the miles to the hours. 3:1 is equivalent to 9:3 with a scale factor of 3. It is also equivalent to 3/4:1/4 with a scale factor of 1/4. Ergo, A and C are the answers. B and D wouldnt be the answers because they have a 1:3 ration instead
Answer:
A and C maybe? I'm not 100% sure though
7⋅(−4)⋅(−6)
a. −168
b. −3
c. 17
d. 168
Algebra 1 (Mon, Nov 23)
Answer:
y=-2/3x+5
Step-by-step explanation:
y-intercept is 5
the line went rose -2(went down 2) and ran 3 (went right 3 units)
rise over run is -2/3
If 5 pounds of avacodo cost $9 how much will 1 pound of avocados be?
Answer:
1.8
Step-by-step explanation:
5 divided by 5 is 1, 9 divided by 5 is 1.8
Answer:
Step-by-step explanation:
5 pounds of avacodo=$9. 1 pound of avacodo= $(9 divided by 5). so 1 pound of avocado = $1.8
Find the missing side length of the triangle.
b
0.3 cm
0.5 cm
Answer:
0.8
Step-by-step explanation:
because you just had to add
Answer: 0.4
Step-by-step explanation: picture below
ok so i rlly need help with number 8 and 9. as a class the teacher did 10 and ik she went up by 3’s but why like i just need help (i will make u brainliest)
Step-by-step explanation:
y = 2x + 6 means that the letter Y equals 2x plus 6. So add 2 and 6 which gives you 8 and you are with this: 8x or 8(x). If your teacher gave you the value of X multiply 8 by x since the eight is outside its parenthesis. Once you have that answer or just 8X put the result of 8x in the y box and the 8x in the x box (skip count from ther of which the value ur teacher gave u)
Use the same context with the next problem. Hope this helps.
What is the ratio of 6 to 26 expressed as a fraction in simplest form?
At the end of the summer, lawn furniture
selling at a market price of $482 is on sale
for 20% off. What is the discount?
Answer:
Final Price = $385.60
You save = $96.40
Step-by-step explanation:
Discount = Original Price x Discount %/100
Discount = 482 × 20/100
Discount = 482 x 0.2
You save = $96.40
Final Price = Original Price - Discount
Final Price = 482 - 96.4
Final Price = $385.60
Answer: $385.60
Step-by-step explanation:
1. 20% x 482
= 0.2 x 482
= $96.40
2. 482 - 96.4
= 385.6
= $385.60
The lawn furniture now costs $385.60.
What is the slope of the line?
y - 4= -7(2 – 6)
Answer:
-7
General Formulas and Concepts:
Point-Slope Form: y - y₁ = m(x - x₁)
x₁ - x coordinate
y₁ - y coordinate
m - slope
Step-by-step explanation:
Step 1: Define function
y - 4 = -7(x - 6)
Step 2: Break function
Point (4, 6)
Slope m = -7
Hi pls help me on this!
What is TR(453) - TR(450)?
Answer:
1356
Step-by-step explanation:
453*454 divided by 2 then 450*451 divided by two then minus both
Suppose the diameter of a circle is \color{green}{4}4start color green, 4, end color green units. What is its circumference?
Answer: 12.56 units
Step-by-step explanation:
Evan loves to compete in triathlons. At his most recent race, he finished in 189 minutes. That is 10% less time than his previous race took. What was Evan's finishing time at the previous race?
Answer:
x = 210 minutes
Step-by-step explanation:
We can say that the previous race's finishing time was x and it was equal to 100% or 1.
We know that the current race's finishing time which is 189 minutes is 10% less than previous one's finishing time, so current race's finishing time can be said to be equal to 90% or 0.9.
Using the ratio and proportion, we can calculate the x to be,
1 : x
0.9 : 189
0.9 : 1 = 189 : x
0.9 * x = 1 * 189
x = 189 / 0.9
x = 210 minutes
Combine like terms:
12a + 3b - 4a + 19 - b
Answer: 8a + 2b + 19 is the answer
Answer:
= 8a +2b + 19
Step-by-step explanation:
Combine Like Terms:
(12a + −4a) + (3b + −b) + (19)
=8a + 2b + 19
To protect your town from a possible zombie invasion, your city council decides to build a wall. The Waters Proposal suggests building a wall 20 feet tall that the would weigh approximately 43275 tons. A second proposal, the Barrett Proposal, says that 20 feet is too short, and the wall in the Waters Proposal is also not long enough or thick enough to keep out zombies. He suggests scaling up the wall, i.E increasing all the dimensions of the wall by the same percentage. Under this plan, the height of the wall would be 34 feet tall and the new perimeter would be 9809 feet long. What would the perimeter of the wall under the Waters Proposal be? feet.
Answer:
5770 feet
Step-by-step explanation:
The height of the wall under the Waters proposal is 20 feet and the height of the wall under the Barrett proposal is 34 feet and its perimeter is 9809 feet. Since there is an increase in the dimensions of the wall, we find this percentage increase.
So, the percentage increase in the height of the wall is thus (New height - Old height)/Old height × 100%
New height = 34 feet and Old height = 20 feet
So, Percentage increase = (New height - Old height)/Old height × 100% = (34 ft - 20 ft)/20 ft × 100 % = 14/20 × 100% = 7/10 × 100% = 70 % increase.
Since all the dimensions increase by the same amount, the perimeter in the Waters proposal increases by 70% to the perimeter in the Barrett proposal.
Let P = perimeter in the Waters proposal and P' = perimeter in the Barrett proposal.
So, the percentage increase in perimeter is
(P' - P)/P × 100 % = 70 %
We now find P
(P' - P)/P = 70%/100%
(P' - P)/P = 0.7
P' - P = 0.7P
P' = 0.7P + P
P' = 1.7P
P = P'/1.7
So, substituting the value for P' = 9809 feet
P = P'/1.7
= 9809 ft/1.7
= 5770 feet
So, the perimeter of the wall under the Waters Proposal is 5770 feet.
Leo learns to perform 2 vocal pieces during each week of lessons. After 16 weeks of voice lessons, how many pieces will Leo be able to sing,in total? pls answer
Step-by-step explanation:
I. A Child’s Voice
One common mistake that adults make when singing with children is that they tend to “pitch” the songs, (or sing them in a key), that is comfortable for themselves, but unfortunately, out of a comfortable singing range for the children. Adults sing in much lower range than children, therefore pitching a song too low causes children to be unsuccessful at reaching some of the lower notes.
Pitching a song in the wrong range can have significant negative consequences on a child’s musical self-esteem. An incorrect key can take away the child’s ability to sing the song well or sing the song at all. Singing in a key that is out of a child’s range would be analogous to an art teacher giving a creative assignment to students and then placing all of the art materials up on a shelf out of reach for most of them. While a few might be tall enough, most won’t be. After a while, they will give up trying to reach the material altogether. Similarly, these are the students who start to believe that they can’t sing at all, and give up on music.
Good Singing
Although we are used to hearing and singing pop music, a child’s voice is not yet ready to sing songs either with such a wide vocal range or with the sophisticated vocal stylings or timbre that he or she might try to imitate from pop singers. As children’s voices are very light, they should not be pushed out of their vocal ranges too soon. Using a clear, clean, straight head voice rather than chest voice will help to avoid this, and will strengthen a child’s vocal musculature for a lifetime of excellent singing.
One good habit to help children sing well is to ask them sing in their head voice rather than their chest voice. Although most songs children hear are pop songs that are placed in the chest, a child’s voice is not yet developed, and should not be belting out or pushing from the lower range or chest voice. Head voice requires placing the sound higher up in the “vocal mask” or the face, as if singing from the eyes. Chest voice feels like the sound is emanating from the chest, which tends to create a lot of tension in the throat, particularly in younger singers. The head voice is lighter, more tension-free, and more natural and therefore more beautiful sounding.
Children’s Vocal Ranges
Below are the general ranges of a child’s voice.