9514 1404 393
Answer:
C 21
Step-by-step explanation:
You can approach this any of several ways. The following conditions must be true:
adjacent angles total 180°
opposite angles are congruent
Using the latter relation on the upper right and lower left angles, we have ...
4x -1 = 3x +20
x = 21 . . . . . . . . . . add 1-3x to both sides
Question 5 of 20
Which of the following triangles are right triangles? Check all that apply.
A. A triangle with side lengths 8, 15, 17
B. A triangle with side lengths 9, 12, 15
C. A triangle with side lengths 5, 12, 13
D. A triangle with side lengths 6 inches, 8 inches, 12 inches
Answer:
B. A triangle with side lengths 9 12 15
Step-by-step explanation:
9/3= 3
12/3= 4
15/3 = 5
A perfect right triangle is 3, 4, 5.
At the beginning of spring, Andrew planted a small sunflower in his backyard. The sunflower's height in inches, h, after weeks, is given by the equation h = 2.5w + 19 What could the number 19 represent in the equation ?
Answer:
The sunflower's height when it was planted.
Step-by-step explanation:
The sunflower's height in inches, h, after weeks, is given by the equation :
h=2.5w + 19
We need to tell that what the number 19 represent in the equation.
If we put w=0, we get,
h=2.5(0) + 19
h = 19 inches
It means when the number of weeks is equal to 0, its height is equal to 19 inches i.e. 19 represents the initial height of the sunflower. So, the correct option is (c) "The sunflower's height when it was planted."
Please include the steps that took you to get your answer. I am very confused on what to do with the 1/2.
First let's review how to expand this!
(ax+b)^2=a^2*x^2+2abx+a^2
In this case
(2x^2+1/2)^2=2^2*x^2+2*1/2*2x+(1/2)^2
=4x^2+2x+1/4
Done!
If Tn =n^+2n. Find third term of the sequence
Answer:
The third term of the sequence Tₙ = n² + 2n is:
T₃ = 15
Step-by-step explanation:
Given
As the sequence is given by
Tₙ = n² + 2n
To determine
The third term of the sequence
The third term of the sequence can be determined by substituting n = 3 in the sequence
Tₙ = n² + 2n
T₃ = (3)² + 2(3)
T₃ = 9 + 6
T₃ = 15
Therefore, the third term of the sequence Tₙ = n² + 2n is:
T₃ = 15
If /Il m, what is the value of x?
Answer:
x= 137 hope it helps have a nice day
Answer:
137
Step-by-step explanation:
180-43 (these two angles plug into all the angles)
There are 10 years in 1 decade. Deron is 2 decades, 4 years, and 8 months old. His brother John is half as old. How old is John?
Answer:
John is 1 decade, 2 years, and 4 months old
Step-by-step explanation:
Since we knot that John is half as old we just have to divide Derons age by two, and we will do that by dividing the number of decades, a number of years, and a number of months by two, and so we get that John is...
(2/2) decades, (4/2) years, and (8/2) months old =
= 1 decades, 2 years, and 4 months old
John is 1 decades, 2 years, and 4 months years old.
What is Division method?Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.
For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
We have to given that;
There are 10 years in 1 decade.
And, Deron is 2 decades, 4 years, and 8 months old.
Since, His brother John is half as old.
Hence, Age of John is,
⇒ (2 decades, 4 years, and 8 months) / 2
⇒ 1 decades, 2 years, and 4 months
Thus, John is 1 decades, 2 years, and 4 months years old.
Learn more about the divide visit:
https://brainly.com/question/28119824
#SPJ3
If y= cx" and dy/dx =
4/root x
what are the values of c and n?
Answer:
c = 8
n = 1/2
Step-by-step explanation:
Since dy/dx is the derivative form, we can integrate the answer to get the value of y.
The values of c and n are obtained by forming the equations as 1/2 and 8 respectively.
What is differentiation?The differentiation of a function is defined as rate of change of its value at a point. It can be written as f'(x) = (f(x + h) - f(x)) /(x + h - x).
It can be stated in terms of geometry as the slope of tangent of the function at a given point.
It is given as y = cxⁿ and dy/dx = 4/√x.
Take the derivative of y = cxⁿ with respect to x as,
dy/dx = cd(xⁿ)/dx
⇒ nc × xⁿ⁻¹
Compare the obtained derivative with 4/√x to obtain,
nc = 4 and n - 1 = -1/2
⇒ n = 1/2 and c = 8
Hence, the values of c and n are 1/2 and 8 respectively.
To know more about differentiation click on,
https://brainly.com/question/24898810
#SPJ2
Brianna measured the length of the cafeteria table in inches. She measured the same table in feet. Which unit would Brianna need more of to measure the length of the table? feet or inches and why?
A. She will need more inches than feet since feet are larger.
B. She will need more inches than feet since inches are larger.
C. She will need need more feet than inches since feet are smaller.
D. She will need the same number of inches and feet since they are the same size.
Answer:
A .she will need more inches than feet because feet are larger
Step-by-step explanation:
What value of m gives the system infinitely many solutions?
-X + 4y = 32
y = mx + 8
4y=32+x
y=32+x/4
32+x/4=mx+8
32+x=4mx+32
32-32+x=4mx
x=4mx
x/:=4m
1=4m
m=1/4
Please help!!!!! 20pts
Answer:
vertically Angle is correct answer
5. Amy, Beth and Colin share some sweets in the ratio 2:3:4
Amy received 8 sweets.
Work out the number of sweets Beth receives.
Answer:
let the rati be x
2x=8
x=4sweets
beth=3x=3×8=24 sweets
Step-by-step explanation:
plz make me brainliest
PLEASE HELP MATH MIDTERM
Steven bought a cylindrical water tank for his cattle, but he forgot to ask the seller what the diameter of the tank was. He needs to know the diameter of the tank so that he can build a platform for the tank to safely sit on. The seller told him the Volume and the height. Help Steven by calculating the diameter of the tank using the information below.
The volume of the tank is 572π 3 and its height is 9ft
Answer:
Step-by-step explanation:
h and r are the height and radius of the tank, respectively.
volume = πr²h
πr²·9 = 572π
r = √(572π/(9π)) = √(572/9)
diameter = 2r ≅ 15.9 ft
The temperature fell by 15 degrees Fahrenheit today.
Write a signed number to represent this temperature change.
We read this out as "negative 15" or you could write "negative fifteen".
The negative indicates the temperature went down. It doesn't necessarily mean that the final temperature is -15 degrees.
For example, if it starts being 50 degrees F, and drops by 15 degrees, then 50+(-15) = 50-15 = 35 degrees is the temperature after that drop. It might help to use a vertical number line.
Volunteers for a human performance study were randomly divided into two groups. The first group had their flexibility measured in the morning after a short meditation session while the second group had their flexibility measured in the afternoon with no previous meditation session. The flexibility scores of the two groups were compared. This experiment was not double-blind because:
a. some of the volunteers stretched before they went to the study location.
b. volunteers were allowed to keep their eyes open while having their flexibility measured.
c. volunteers were randomized into the two groups.
d. the volunteers knew whether they had meditated before having their flexibility measured.
Answer:
C
Have a wonderful day!
The experiment was not double-blind because volunteers were randomized into the two groups. The correct option is c.
What is a double-blind experiment?A type of clinical experiment where neither the research team nor the subjects are aware of the treatment or intervention they are receiving until the trial is complete. As a result, the study's findings are less likely to be skewed.
Because neither the participant nor the clinician is aware of who has received what treatment, double-blind studies are regarded as the most trustworthy sort of research. This is done in an effort to lessen bias and the placebo effect.
Both the researchers and the test subjects must be uninformed of who is receiving the treatment and who is receiving a placebo in a double-blind trial.
Therefore, the correct option is c. volunteers were randomized into the two groups.
To learn more about a double-blind experiment, refer to the link:
https://brainly.com/question/29829648
#SPJ5
Please help with this question ASAP
Answer:
B. 28/15
Step-by-step explanation:
7/3 x 4/5 = 28/15
I put a random subject but can u please help with this question
Answer:
Parasitism
Step-by-step explanation:
What is 1/2 divided by 1/8?
Answer:
8/2
Step-by-step explanation:
Answer:
8/2 will be your first answer but then you simplify to get the answer of 4
state whether the two triangles are similar, and if so, by which theorem? justify your answer
Answer:
it's a congruent triangle and the scale factor is 2
Step-by-step explanation:
i don't know what you mean by theorems if you mean circle theorems well that obviously is not a circle so it's not one.
PLEASE HELP! Which of the following expressions are equivalent to (x+y) - (-z)?
A) (x+y)-z
B)x+(y+z)
C) none of the above
Answer:
c
Step-by-step explanation:
none of them equal (x+y)-(-z)
Jada’s teacher fills a travel bag with 5 copies of a textbook. The weight of the bag and books is 17 pounds. The empty travel bag weighs 3 pounds. How much does each book weigh? whats the equation not the answer
5×3=15
17+15=32
Step-by-step explanation:
3÷17=15
15+5=20
Answer:
Step-by-step explanation:
Identify the percent of change as an increase or decrease. Then find the percent of
change. Round to the nearest tenth of a percent, if necessary.
$18.75 to $18.60
Answers:
Increase; 15%
Decrease; 0.15%
Decrease: 0.008%
Decrease; 0.8%
Answer:
Decreasing; 0.8%
y - 4= -8 (x - 1)
linear or nonlinear?
Write a plan to prove that angle 1 is congruent to angle 2
Answer:
alternate interior angles
Step-by-step explanation:
<1 is congruent to <2 by alternate interior angles
Divide the following. Put your answer in
scientific notation.
(77) divided by (4.9 X10^6)
Answer:
1.225 × 10 to the power 5 + 3.655 × 10³ = 1.26155 x 10 to the power 5
Step-by-step explanation:
Standard Notation:
122500 + 3655 = 1.26155 x 10 to the power 5
Scientific Notation:
1.225 × 10 to the power 5 + 3.655 × 10³ = 1.26155 x 10 to the power 5
E Notation:
1.225e5 + 3.655e3 = 1.26155e5
Farmer Ben has only ducks and cows 24 in total. He can’t remember how many of each he
has. He knows that the animals have a total of 66 legs. Assuming that each animal has all legs intact
and no extra limbs, how many of each animal does farmer Ben have? Draw a clear diagram to answer
this question.
Help ME and plzz show your work thank you love
an = n2- 5
A) {1, -4, 4, 11, 116...}
B) {1, 2, 3, 4, 5, 6, ...}
C) { -4, 11, 116, 13451,...}
D) { -4, -1, 4, 11, 20,...}
Answer:
D
Step-by-step explanation:
if to substitute values of n=1;2;3;4;5 into
[tex]a_n=n^2-5[/tex]
then a₁=-4; a₂=-1; a₃=4; a₄=11; a₅=20.
It means the answer {-4, -1, 4, 11, 20,...} is correct.
Four friends go to dinner. Each chooses a different meal. When the check comes, they decide they will each pay the same amount. If the costs of the meals (including tax and tip) were $12.20, $11.00, $8.50, and $7.50, what should each friend pay so they cover the whole bill?
Answer: Each friend should pay $9.80
Step-by-step explanation: First add up all their checks, then divide them by 4 (4 because there 4 friends) to get the amount each friend needs to pay.
$12.20 + $11.00 + $8.50 + $7.50= $39.20
39.30 / 4 = $9.80
A line passes through the points (4,9) and (12,20) what is the slope of the line?
Answer:
11/8
Step-by-step explanation:
[tex]slope = \frac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex]
20 - 9 = 11
12 - 4 = 8
slope = 11/8
The median household income in the US grew linearly from approximately $30, 000 in 1990 to $48, 000 in 2006. Let x be the number of years since 1990. Express the median income as a function of x. Use this function to approximate the median income in 2030. What is the significance of the slope of this function
Answer:
[tex]y = 1125x+30000[/tex] --- The equation
The median income in 2030 is $75000
Step-by-step explanation:
Given
Represent years since 1990 with x and the income with y.
So, we have:
[tex](x_1,y_1) = (0,30000)[/tex] --- In 1990
[tex](x_2,y_2) = (16,48000)[/tex] --- In 2006
Solving (a): Express as a function.
First, we calculate the slope
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{48000-30000}{16-0}[/tex]
[tex]m = \frac{18000}{16}[/tex]
[tex]m = 1125[/tex]
The equation is then calculated as:
[tex]y = m(x-x_1)+y_1[/tex]
This gives:
[tex]y = 1125(x-0)+30000[/tex]
Open bracket
[tex]y = 1125x-0+30000[/tex]
[tex]y = 1125x+30000[/tex]
Solving (b): Income in 2030.
In 2030, x = 40.
Substitute 40 for x in [tex]y = 1125x+30000[/tex]
[tex]y = 1125*40 +30000[/tex]
[tex]y = 45000 +30000[/tex]
[tex]y = 75000[/tex]
Solving (c): The significance of the slope.
In (a), the slope is calculated as 1125.
This implies that the yearly rate is $1125
2) The bicycle shop charges $15 plus $6.50
per hour to rent a bike. How many hours
did Henry pay to rent the bike if he paid
the shop $327?
Answer:
48 hours
Step-by-step explanation:
Subtract 15 from 327
Divide result by 6.5