Answer:
65 degrees
Step-by-step explanation:
1) Find the value of x
The sum of all the interior angles of a triangle is always 180 degrees. Knowing this, we can construct the following equation:
[tex](2x-5)+(115-x)+x=180[/tex]
Open up the parentheses
[tex]2x-5+115-x+x=180[/tex]
The two x's cancel out
[tex]2x-5+115=180\\2x+110=180[/tex]
Subtract 110 from both sides
[tex]2x+110-110=180-110\\2x=70[/tex]
Divide both sides by 2
[tex]2x/2=70/2\\x=35[/tex]
Therefore, x is equal to 35.
2) Find the value of <C
[tex]C=2x-5[/tex]
Plug 35 into the equation as x
[tex]C=2(35)-5\\C=70-5\\C=65[/tex]
Therefore, the value of angle C is 65 degrees.
I hope this helps!
In a clinical trial, 780 participants suffering from high blood pressure were randomly assigned to one of three groups. Over a one-month period, the first group received the experimental drug, the second group received a placebo, and the third group received no treatment. The diastolic blood pressure of each participant was measured at the beginning and at the end of the period and the change in blood pressure was recorded. The average change in blood pressure was calculated for each of the three groups and the three averages were compared.
A. This was an experiment rather an observational study. How do we know that?
B. Identify the factors and levels.
C. Are all the principles of experimental design included in this experiment? Explain.
Answer:
A. We know that this was an experiment rather than an observational study because treatments were administered, with the first group receiving the experimental drug, the second group receiving a placebo, and the third group receiving no treatment."
B. The factors are the variables. The independent variable was group three that received no treatment, while the dependent variables were the first and second groups that received some treatments. Another variable is the change in blood pressure recorded at the end of the period.
The levels refer to the different treatments that were administered to the three groups: experimental drug, placebo, and no treatment.
C. The principles of experimental design are Randomization, Repetition, and Control. We are not aware of how the participants were chosen and this experiment was not replicated in the scenario. We can affirm that there is Control because the three groups were not given the same treatment.
Step-by-step explanation:
In an observation, the researcher does not attempt to change any variables. She simply observes and then records her observations. In an experimental study, the researcher creates a control group and, also at least, one testable group. The purpose is to compare the control group and the testable group.
5(y-10) = -5 solve...
Answer:
y=9
Step-by-step explanation:
5(y-10)=-5
5y-50=-5
+50 +50
5y=45
/5 /5
y=9
Which statement is true?
Answer:
A) Airplane A has a lesser median
Step-by-step explanation:
If you look at the photo you see both airplane A and airplane B and if you were to line them up
airplane A=3
airplane B=4 ½
so clearly airplane A would have a lesser median than airplane B
Examine the following diagram:
In the diagram, how many pairs of vertical angles are
shown?
Answer:
4
Step-by-step explanation:
Vertical angles are angles formed when two straight lines intersects at a point forming vertical angles that share the same vertex and are directly opposite to each other.
In the diagram given, we have the following pairs of vertical angles:
<7 and <9
<8 and <10
<12 and <14
<11 and <13
Therefore there are 4 pairs of vertical angles
In a class of 50 students, 40 students offered Physics and 30 offered Biology. How many offered both Physics and Biology?
Answer:
20 students offered both physics and biology.
Step-by-step explanation:
n(Total) = 50
n(Physics) = 40
n(Biology) = 30
Let n(Physics and Biology) = x
n(Physics only) = 40 -x
n(Biology only) = 30 - x
40 - x + 30 - x + x = 50
70 - x = 50
x = 20
The diamter of a circle with a radius of 6
Answer:
12
Step-by-step explanation:
Answer: 12
Step-by-step explanation:
The diameter is just the radius*2 so the diameter is 12
Use <, >, or = to compare the following decimals.
(a) 2.92 |?| 5.51
(b) 4.34 |?| 4.81
(c) 0.9 |?| 0.07
Answer:
A. < B. < C. >
Step-by-step explanation:
Josh has solved for x in the inequality below
5-2x>3
-2x>-2
x>1
Choose the statement that is true regarding Josh's work shown above.
A- The solution is incorrect. Josh should have added 2x on both sides.
B- The solution is incorrect. Josh should have added 5 instead of subtracting 5.
C- The solution is incorrect. Josh should have flipped the inequality sign.
D- Josh's work and solution is correct.
Answer:
c
Step-by-step explanation:
cause he has to devide by a negative
please help me attachment below
solve 7!!!!!!!!!!!!!!!!!!!!!!!
Answer:
?
Step-by-step explanation:
Question Help
A family buys 5 airline tickets online. The family buys travel insurance that costs $18 per ticket.
The total cost is $915. Let x represent the price of one ticket. Write an equation for the total cost.
Then find the price of one ticket.
Answer:
it would be
18 x 5x = 915
solve the equation
18 x 5 = 90
90x = 915
divide by 90
x =10.1666
Step-by-step explanation:
if the square roots of the natural numbers from 1 to 200 are calculated what will be the whole numbers
Answer:
f
Step-by-step explanation:
Green vines attached to the trunk of the tree had wound themselves toward the top of the canopy. Ants used the vine as their private highway, avoiding all the creases and crags of the bark, to freely move at top speed from top to bottom or bottom to top depending on their current chore. At least this was the way it was supposed to be. Something had damaged the vine overnight halfway up the tree leaving a gap in the once pristine ant highway.
The whole numbers will be:
{1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14}
How to find the whole numbers?
Remember that a square root will have a whole number as an outcome only if the input is a square number.
Then, what we can do here is just find all the square numbers smaller than 200.
1*1 = 1
2*2 = 4
3*3 = 9
4*4 = 16
5*5 = 25
6*6 = 36
7*7 = 49
8*8 = 64
9*9 = 81
10*10 = 100
11*11 = 121
12*12 = 144
13*13 = 169
14*14 = 196
Then, if we take the square roots of all the natural numbers from 1 to 200, we will have 14 whole numbers as outcomes, and these will be:
{1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14}
If you want to learn more about square roots, you can read:
https://brainly.com/question/8952483
Find the areas of the sectors formed by ABC
Answer:
33.51 in^2
Step-by-step explanation:
Find the area of the circle:
A = πr^2
A = π * 8^2
A = 64π = 201.06 in^2
Find the area of the 60 deg slice:
A * 60/360 = 33.51 in^2
Leave a thanks and mark brainliest if this helped
Leave a thanks and mark brainliest if this helped
Find the diameter of a cylindrical construction pipe is 4 ft. If the pipe is 18 ft. Long, what is its volume? Use the value 3.14 and round your answer to the nearest whole number
Answer:
395 .64 ft2
Step-by-step explanation:
hmm, let's see :
Pi = 3.14 r = 3 ft h = 14 ft
Volume = 3.14 * (3)2 ft *14 ft= 395 .64 ft2
— hope this helped :)! (sorry if there is any mistake !!)
Mr. Allen has a class of 18 students. He can spend S18 on each student to buy math supplies for the year. He first buys all of his students calculators, which
costs a total of $124.20. After buying the calculators, how much does he have left to spend on each student?
Answer
$199.8
Explanation:
Find the total amount of money he had in the begining. It says that he can spend $18 on each student. He has 18 students so you would multiply that by the $18 he can spend which gives a total of $324 then you subtract the total cost of the calculators from it which then gives you $199.8
Find the volume (in cubic inches) of an exercise ball with a radius of 17 inches. (Round your answer to one decimal place.)
Answer:
20579.52628
Step-by-step explanation:
4/3 pi(r^3)
4/3 pi x 17 x 17 x 17
= 20579.52628
Answer:
20579.5
Step-by-step explanation:
The formula for The volume of a Sphere is 4/3 pi r^3
so it would be 4/3pi * 4913
4.19666666....* 4913 which would equal to 20.579.53333333333 or 20579.5
The picture shows two sections of Mrs. Jones's art supply drawer.
Paints
Brush’s
What is the total area of both sections of the drawer? Enter the answer in the box.
Solve and check please i need help
Answer:
72
Step-by-step explanation:
9 x 8 = t
t = 72
State the null hypothesis H0 and the alternative hypothesis Ha in each case. Be sure to identify the parameters that you use to state the hypotheses.
(a) A university gives credit in first-year calculus to students who pass a placement test. The mathematics department wants to know if students who get credit in this way differ in their success with second-year calculus. Scores in second-year calculus are scaled so the average each year is equivalent to a 75. This year 17students who took second-year calculus passed the placement test.
H0:μ>75;Ha:μ=75
H0:μ<75;Ha:μ=75
H0:μ=17;Ha:μ>17
H0:μ=17;Ha:μ≠17
(b) Experiments on learning in animals sometimes measure how long it takes a mouse to find its way through a maze. The mean time is 24 seconds for one particular maze. A researcher thinks that playing rap music will cause the mice to complete the maze slower. She measures how long each of 17 mice takes with the rap music as a stimulus.
H0:μ=24sec;Ha:μ>24sec
H0:μ=24sec;Ha:μ≠24sec
H0:μ>17sec;Ha:μ=17sec
H0:μ=17sec;Ha:μ<17sec
H0:μ=24sec;Ha:μ<24sec
(c) The average square footage of one-bedroom apartments in a new student-housing development is advertised to be 850 square feet. A student group thinks that the apartments are smaller than advertised. They hire an engineer to measure a sample of apartments to test their suspicion.
H0:μ=850ft2;Ha:μμ850ft2
H0:μ>850ft2;Ha:μ=850ft2
H0:μ=850ft2;Ha:μ>850ft2
H0:μ=850ft2;Ha:μ<850ft2
H0:μ<850ft2;Ha:μ=850ft2
Answer: (A)
[tex]H_0:\mu=75\\H_a:\mu\neq75[/tex]
(B)
[tex]H_0:\mu=24\ sec\\H_a:\mu>24\ sec[/tex]
(C)
[tex]H_0:\mu=850\ ft^2\\H_a:\mu<850 \ ft^2[/tex]
Step-by-step explanation:
Null hypothesis [tex](H_0)[/tex]: It is a statement showing population parameters as per the objective of the study. It generally takes "≤,≥,=" signs. Alternative hypothesis [tex](H_a)[/tex]: It is also a statement describing population parameters as per the objective of the study. It generally takes ">, <, ≠" signs.(A) Objective: Scores in second-year calculus are scaled so the average each year is equivalent to a 75 or not.
[tex]H_0:\mu=75\\H_a:\mu\neq75[/tex]
(B) Objective: The mean time is 24 seconds or more for one particular maze.
[tex]H_0:\mu=24\ sec\\H_a:\mu>24\ sec[/tex]
(C) Objective: The average square footage of one-bedroom apartments in a new student-housing development is advertised to be 850 square feet or smaller.
[tex]H_0:\mu=850\ ft^2\\H_a:\mu<850 \ ft^2[/tex]
graph the line by plotting any two ordered pairs that satisfy the equation.
[tex]y = \frac{4}{3} x - 4[/tex]
One of the ordered pairs must be Y Intercept.
Points to the person who explains step by step, start to finish. Please note the correct set of ordered pairs is not random x to get y, or random y to get x variables. I tried that already and it was marked wrong.
Answer:
(0,-4)
(3,0)
Step-by-step explanation:
Let start at the orgin.
This is a linear equation since the equation is in the form of
[tex]y = mx + b[/tex]
where m is the slope and b is the y intercept.
Since we starting at the orgin, and b is our y intercept.
Our first point is
(0,-4).
since the slope is 4/3.
We would rise 4 from the y value and run 3 to the x value.
In other words, to find your second point, go up 4 units from the first point and move to the right 3 units.
So our next point is at
(3,0).
U can continously go up 4 units and move 3 units to the right to find other points.
How many more sides does a decagon have than an octagon?
Answer:
2 more sides.
Step-by-step explanation:
Decagon = 10 sides
Octagon = 8 sides
The prefix Octa means 8 sides
example : Octa is in Octapus; and octopus have 8 legs or tentacles.
Answer:
2 sides.
Step-by-step explanation:
Correct me if I'm wrong but a decogon has 10 sides and an ogtagon has 8 sides so it might be 2.
I need help with this
Larue scored 20 points less than 4 times the number of points that Ross scored. Larue scored 22 points. How many points did Ross score?
Answer:
82 points
Step-by-step explanation:
Take 22 and add 20 back to it, and then multiply it by four which gives you 102. You then would subtract 20 and get 82.
I need the answer for both of them I’ll give your Brainly help
Answer:
11. a)50 12. a)40
Step-by-step explanation:
sum of all three angles of trinagle=180
so
111.
80+50+x=180
130+x=180
x=180-130
x=50
12.
60+90+x=180
150+x=180
x=190-150
x=40
Answer:
A and C
Step-by-step explanation:
HELP I WILL GIVE BRAINLY THING
Answer:
The answer is A.
Step-by-step explanation:
Hope this helps.
Cuál es la fracción equivalente decimal 0.01
Respuesta:
La fracción equivalente a 0.01 es 1/100.
Show on a number line 2/3 's?
17% off a $35 dresser
Answer:
Sale Price = $29.05 (answer). This means the cost of the item to you is $29.05. You will pay $29.05 for a item with original price of $35 when discounted 17%. In this example, if you buy an item at $35 with 17% discount, you will pay 35 - 5.95 = 29.05 dollars
Please Help me Solve part(a)
The price of a sandwich decreases from $8 to $6. What is the percentage decrease in the price of the sandwich?
Answer:
It decreased by 25%
Step-by-step explanation:
8 x .25=2
8 - 2 = 6