========================================================
Explanation:
Refer to the diagram below. I'm using the points A,B,C,D,E to help label the triangles, and to label the angles as well.
For now, let's focus on triangle DEC.
The top most angle is given as D = 65. Note how the angles D and E are opposite the congruent lines (marked with the red single tickmarks). This means that angles D and E are congruent to one another. So E = 65 as well. This is shown in the diagram below.
For now we don't know what angle C is, so we'll call it y. More specifically, we'll make y the measure of angle DCE.
For any triangle, the three angles always add to 180
y+65+65 = 180
y+130 = 180
y = 180-130
y = 50
So angle DCE is 50 degrees.
-------------------------------
Now we move onto triangle ABC.
Because angles DCE and ACB are vertical angles, this makes angle ACB 50 degrees also. Effectively, anywhere you see a 'y' in the diagram below, replace it with 50.
So triangle ABC has the three angles y = 50, y = 50 and 7x-4
We can solve for x like so
y+y+(7x-4) = 180
50+50+(7x-4) = 180
7x+96 = 180
7x = 180-96
7x = 84
x = 84/7
x = 12
This points to choice C as the final answer.
How many pizza can be bought with 125$
Answer:
depends how much the pizza is
What is the best first step in solving the equation 3 + 36x = 5?
A study is conducted to investigate whether customer satisfaction is greater among computer companies that offer tech support versus those that do not offer tech support. A random sample of 50 customers are selected from among those that purchased computers that offer tech support. A separate random sample of 40 customers are selected from among those that purchased computers that do not offer tech support. The study found that the mean satisfaction rating was significantly greater among customers that purchased computers that offer tech support. Which of the following is the best description of this study?
A) An experiment using a completely randomized design.
B) An experiment using a randomized block design.
C) An experiment using a matched pairs design.
D) An observational study using a simple random sample.
E) An observational study using a stratified sample.
Answer:
E) An observational study using a stratified sample.
Step-by-step explanation:
This study is not an experiment because the customers were not subjected to any treatment but just observation from those selected. Also, the sampling method used was stratified sampling because we see that random samples were selected independently from two unique populations which are population of those that purchased computers and those that offer tech support.
Therefore the correct option is E.
Jesse looks out the attic window of his home, which is 22 ft above the ground. At an angle of elevation of 35° he sees a bird sitting at the very top of the large high rise apartment building down the street. How tall is the high rise apartment building, if the two buildings are 75 ft apart? (Round answer to 2 decimal places)
Answer:
Step-by-step explanation:
How likely are you to roll a B on a standard die?
A. 0/6
B. impossible
C. This question cannot be answered because there is not a Bon a standard die.
Answer:
A
Step-by-step explanation:
because you dont have a chance
Can some write the correct inequality graph below
Answer:
x≥-6
Step-by-step explanation:
Rachel has 75 books.18 of the books are comics books. The rest of books are novels.
a. What percentage of the books are novels?
b. What percentage of her books are comics?
Answer:
Novels: 24% Comics: 76%
Step-by-step explanation:
Divide 18/75= 0.24= 24% to find percent of novels
Subtract 100-24= 76 to get the remaining percent
Or
Subtract 75-18= 57 (to get the number of comics she has)
Divide 57/75= 0.76= 76% to find percent of comics
The Statistical Abstract of the United States reported that the average cost per day of owning an automobile in the United states is $7.62. This includes the cost of the car, general maintenance, gasoline, and insurance. A researcher claims that college students' average daily ownership expenses are less than the national average. A random sample of 54 college students who own cars found the average cost per day to be $6.78 with standard deviation $1.77. Use a 5% level of significance to test the claim that a college student's average daily ownership expenses are less than the national average. State the Null and Alternate Hypotheses, calculate the test statistic, compute the P value for this test, state the alpha value, then state your conclusion. Is there enough evidence to support the claim?
Answer:
Step-by-step explanation:
The null and the alternative can be computed as:
[tex]H_o : \mu = 7.62[/tex]
[tex]H_1 : \mu < 7.62[/tex]
[tex]Claim: \mu < 7.62[/tex]
[tex]\alpha= 0.05[/tex]
The critical value for a left-tailed test at [tex]\alpha= 0.05[/tex] = -1.645
The test statistics can be computed as:
[tex]Z = \dfrac{\overline x - \mu}{\dfrac{\sigma}{\sqrt{n}} }[/tex]
[tex]Z = \dfrac{6.78 - 7.62}{\dfrac{1.77}{\sqrt{54}} }[/tex]
[tex]Z = -3.487[/tex]
The P-value = (Z< -3.487)
The P-value = 0.00024
Decision Rule: TO reject [tex]\mathbf{H_o}[/tex] at [tex]\alpha= 0.05[/tex], if test statistics is less than the critical value (left tailed)
Conclusion: We reject [tex]\mathbf{H_o}[/tex] at ∝ = 5%, thus there is enough evidence to support the claim that the college students average daily ownership expenses are less than the national average.
Which of the following equations represents a line that is perpendicular to the line represented by x + 2y = 6 and passes through the point (3 , –4)?
Answer:
y=2x-10
Step-by-step explanation:
First change to equation into slope intercept form
2y=-x+6
y=-1/2x+3
slope=2 (beacause it is perpendicular)
y--4=2(x-3)
y+4=2x-6
y=2x-10
which is greater 1/4 or 3/4 ?
Answer:
3/4
Step-by-step explanation:
We have two fractions, 1/4 and 3/4. Lucky they have the same denominator :
Which is the number under the line, which means their capacity is the same amount. Now we just have to see the greater numerator (the number above the line).
So since 3 is greater than 1
Therefore 3/4 is the answer
Answer:
You answer would be 3/4
Step-by-step explanation:
3/4 is larger than 1/4.
Help me out please I need you’re help with this question ✏️
the answer to your question might be (B).
write the word sentence as an equation 5 less than half a number x is 20. helps plzzz
Answer:
0.5x-5=20
Step-by-step explanation:
hope this helps
what grade is this for
The side of a square measures 4 inches long. Which of the following statements are true Choose all that apply
The area of the square is 16 inches
The area of the square is equal to the perimeter of the square
The perimeter of the square is 2 inches less than the area of the square
The perimeter of the square 8 inches
Answer:
area of the square is 16 inches
area of the square = perimeter of the square
Step-by-step explanation:
each side of the square is 4" so
A = 4 x 4 or 16 sq in
P = 4 + 4 + 4 + 4 = 16 in
NOW I HAVE 20 MINS LEFT PLS HELPPPPPPP!!! Which graph shows the result of dilating this figure by a factor of One-third about the origin? On a coordinate plane, triangle A B C has points (negative 6, 6), (6, 6), (6, negative 6). On a coordinate plane, triangle A prime B prime C prime has points (negative 2, 2), (2, 2), (2, negative 2). On a coordinate plane, triangle A prime B prime C prime has points (negative 3, 3), (3, 3), (3, negative 3). On a coordinate plane, triangle A prime B prime C prime has points (Negative 18, 18), (18, 18), (18, negative 18). On a coordinate plane, triangle A prime B prime C prime has points (negative 12, 12), (12, 12), (12, negative 12).
Answer:
On a coordinate plane, triangle A B C has points (negative 6, 6), (6, 6), (6, negative 6). On a coordinate plane, triangle A prime B prime C prime has points (negative 2, 2), (2, 2), (2, negative 2).
Step-by-step explanation:
This is the only answer where the scale factor goes down a factor 1/3 from the pre image to new image
catetos de un triangulo regtangulo
Answer:
In English -
The legs are the sides opposite the acute angles of a right triangle. The legs are the lesser sides of the right triangle. The hypotenuse is the longest side of the right triangle.
In Spanish -
Los catetos son los lados opuestos a los ángulos agudos de un triángulo rectángulo. Los catetos son los lados menores del triángulo rectángulo. La hipotenusa es lado mayor del triángulo rectángulo.
help plsssss rnnnrnnnn
Answer:
66
Step-by-step explanation:
Since the triangels are similar, 3x+18=4x+2.
Let's solve that.
3x+18=4x+2
16=x
THIS IS NOT THE VALUE OF THE ANGLE! We have to plug x into one of the equations to find the answer.
3(16)+18=66
In horse racing, a trifecta is a type of bet. To win a trifecta bet, you need to specify the horses that finish in the top three spots in the exact order in which they finish. If eight horses enter the race, how many different ways can they finish in the top three spots
Answer: 336 different ways
Step-by-step explanation:
Ok, we have a total of 8 horses, and we have 3 places.
First, second, third.
The total number of combinations will be equal to the product of the number of possible options that we have in each place.
For the first place, we could have any of the 8 horses, so there are 8 possible options.
For the second place, we will have 7 horses (because one is already in the first place) then here we have 7 options.
For the third place, we will have 6 horses (because one is in the first place and another is in second place) then here we have 6 options.
The total number of different ways in which the horses can finish is:
C = 8*7*6 = 336 different ways
Determine the amount of each unknown
Cost of the item $300
Sales tax _______
Amount of tax ________
Total cost $360
Answer:
Sales tax:20%
Amount of tax:$60
Required information Skip to question A die (six faces) has the number 1 painted on two of its faces, the number 2 painted on three of its faces, and the number 3 painted on one of its faces. Assume that each face is equally likely to come up. If the die were loaded so that the face with the 3 on it were twice as likely to come up as each of the other five faces, would this change the value of P(odd number)
Answer:
The change to the face 3 affects the value of P(Odd Number)
Step-by-step explanation:
Analysing the question one statement at a time.
Before the face with 3 is loaded to be twice likely to come up.
The sample space is:
[tex]S = \{1,1,2,2,2,3\}[/tex]
And the probability of each is:
[tex]P(1) = \frac{n(1)}{n(s)}[/tex]
[tex]P(1) = \frac{2}{6}[/tex]
[tex]P(1) = \frac{1}{3}[/tex]
[tex]P(2) = \frac{n(2)}{n(s)}[/tex]
[tex]P(2) = \frac{3}{6}[/tex]
[tex]P(2) = \frac{1}{2}[/tex]
[tex]P(3) = \frac{n(3)}{n(s)}[/tex]
[tex]P(3) = \frac{1}{6}[/tex]
P(Odd Number) is then calculated as:
[tex]P(Odd\ Number) = P(1) + P(3)[/tex]
[tex]P(Odd\ Number) = \frac{1}{3} + \frac{1}{6}[/tex]
Take LCM
[tex]P(Odd\ Number) = \frac{2+1}{6}[/tex]
[tex]P(Odd\ Number) = \frac{3}{6}[/tex]
[tex]P(Odd\ Number) = \frac{1}{2}[/tex]
After the face with 3 is loaded to be twice likely to come up.
The sample space becomes:
[tex]S = \{1,1,2,2,2,3,3\}[/tex]
The probability of each is:
[tex]P(1) = \frac{n(1)}{n(s)}[/tex]
[tex]P(1) = \frac{2}{7}[/tex]
[tex]P(2) = \frac{n(2)}{n(s)}[/tex]
[tex]P(2) = \frac{3}{7}[/tex]
[tex]P(3) = \frac{n(3)}{n(s)}[/tex]
[tex]P(3) = \frac{1}{7}[/tex]
[tex]P(Odd\ Number) = P(1) + P(3)[/tex]
[tex]P(Odd\ Number) = \frac{2}{7} + \frac{1}{7}[/tex]
Take LCM
[tex]P(Odd\ Number) = \frac{2+1}{7}[/tex]
[tex]P(Odd\ Number) = \frac{3}{7}[/tex]
Comparing P(Odd Number) before and after
[tex]P(Odd\ Number) = \frac{1}{2}[/tex] --- Before
[tex]P(Odd\ Number) = \frac{3}{7}[/tex] --- After
We can conclude that the change to the face 3 affects the value of P(Odd Number)
Question 7
Write the integer that is equivalent to |10|
Answer:
10
Step-by-step explanation:
Pls help me I don't understand :/
Please help I need a answer
Answer:
b) 2 20/100
Step-by-step explanation:
2.20 = 2 2/10
so, if that fraction is multiplied by 10/10 then it's still the same.
Answer: Not here is the answer
Step-by-step explanation:
To write 2.20 as a fraction you have to write 2.20 as numerator and put 1 as the denominator. Now you multiply numerator and denominator by 10 as long as you get in numerator the whole number.
2.20 = 2.20/1 = 22/10
And finally we have:
2.20 as a fraction equals 22/10
William earns £9.30 for 1 half hours of work.
Work out how much he would earn for:
A) 30 minutes
B) 5 hours
Answer:
a)3.10
b)31
Step-by-step explanation:
a) 1 half hour = 90 min
90÷30=3
9.30÷3=3.10
b)5 hrs -> 300 min
300÷30=10
10x3.10=31
Stephen wants to purchase a laptop, but he does not have enough money in his bank account to pay for one.
Which of these is not an option for Stephen?
Answer:
A
Step-by-step explanation:
If you have no money in the bank the debit card won't work
Answer:
its C
Step-by-step explanation:
Doy 10 puntos al que me responda esto:
2 fracciones equivalentes a:
7/6
8/3
5/4
Doy 10 puntos al que me responda esto:
2 fracciones equivalentes a:
Responda:
7/6
5/4
Answer:
7/6
5/4
Step-by-step explanation:
An observer for a radar station is located at the origin of a coordinate system. Find the
bearing of an airplane located at the point (0.4). Express the bearing using both methods
One expression for the bearing uses a single angle measure. The bearing using this method is _?
Answer: 0.4 >-8 /9(8+7)
Sorry if it isn't correct!!
the mean age of 5 people ina room is 32 years. A person enters the room.The mean age is now 34.What is the age of the person who entered the room?
Answer:
32
Step-by-step explanation:
Alex is thinking of a number.
She divides it by 100
The answer has one more in the hundreds column than in the
tens column
The total of the digits is 15
What could the number be?
3. In class, you learned how to find the area of irregular shapes by breaking into regular shapes. For the picture below, you are going to calculate its area. For this problem, you must:
• Draw how you broke up the shape
• Show the work for how you found the area of each piece
• Calculate the total area from the pieces
Answer:
57.5
Step-by-step explanation:
if you break it down into smaller shapes, there's a semicircle, three triangles and a rectangle.
circle πr² = π 2² = 4π² = 39.5
triangle 1 bh = (3)(2) = 6
triangle 2 bh = (4)(1) = 4
triangle 3 bh = (2)(4) = 8
Add them all up to get total area
6 + 4 + 8 + 39.5 = 57.5
Show work please thank you.
Answer:
x = 8, so 6x = 48 and 4x + 10 = 42
Step-by-step explanation:
This is a right angle, so we can say that 6x + 4x + 10 = 90 = 10x + 10 = 90 = 10x = 80 = x = 8.