Answers
Answer:
A
Step-by-step explanation:
In this case you have to show that 1 + 2 = 180
This way when you show that 2 + 3 = 180, that proves 1 & 3 are congruent.
Answer:
A. 2. ∡1 is supplementary to ∡2 (linear pair theorem)
Step-by-step explanation:
Given the following proof so far, we have:
1. Line a and line b intersect => given
2. ? => ?
3. ∡3 is supplementary to ∡2 => linear pair theorem
4. ∡1 ≅ ∡3 => congruent supplements theorem
Now let's take a look at the reasoning for statement 4, which says that angle 1 and 3 are congruent due to congruent supplements theorem.
In this theorem, if 2 angles are supplementary (add up to 180 degrees) to the same angle, it means those 2 angles are congruent.
Why does this work?
________________________________________________________
Let's say x + y = 180, and z + y = 180
By transitivity (if a = b and b =c, then a=c), x + y is equal to z + y
x + y = z + y
Subtract y from both sides
x = z
________________________________________________________
Statement 3 says ∡3 is supplementary to ∡2, and because of congruent supplements theorem being our last reason (where ∡1 and ∡3 are congruent), we need to make statement 2 also have ∡1 being supplementary to ∡2, (∡2 is like y in the example above - it's the angle that ∡1 and ∡3 are both supplementary to).
This will eliminate choices B (which has ∡1, but also ∡4 which isn't necessary), C ( ∡which mentions nothing about ∡1), and D (which also doesn't mention anything about ∡1, and which also isn't necessary as we have statement 3 essentially saying the same thing), leaving A as the correct answer.
Related Questions
Help with a composition of two functions! 20 pts for a solution!
Answers
The function (fog)(x) would be (x^4 + 10x² + 27). Also, the domain of (fog)(x) is all the real numbers.
What is a function?The function is a type of relation, or rule, that maps one input to specific single output.
Given;
f(x) = x² + 2
g(x) = x² + 5
so, to take the composition of f and g (fog) replace the x in f(x) with g(x);
(fog)(x) = (x² + 5)² + 2
(fog)(x) = (x^4 + 25 + 10x² )+ 2
(fog)(x) = (x^4 + 10x² + 27)
Also, the domain of (fog)(x) is all the real numbers.
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Writing ratios for real-world situations
There are 3 red marbles and 8 blue marbles in a bag.
Answers
Answer:
3:11 or 8:11
Step-by-step explanation:
I think your missing some imformation! I'm guessing the ratio of picking a red marble is 3:8 while a blue marble is 8:3
John is buying a new car. The value of one car he is considering is $20,000. The value of the car as it ages can be modeled by the function V = 20 , 000 ( 0 . 84 ) t , where t is the number of years from the time of purchase. One of the factors John is using to make his decision is the value of the car over time until it reaches half its original value. What values of domain are reasonable for the given function in this context?
A. all real numbers greater than or equal to 0 and less than 2.8
B. all real numbers greater than or equal to 10,000 and less than or equal to 20,000
C. all real numbers greater than or equal to 0
D. all real numbers greater than or equal to 0 and less than 4
Answers
Option D is the correct answer.
All real numbers greater than or equal to 0 and less than 4.
What is Domain?The domain of a function is the set of its possible inputs, i.e., the set of input values where for which the function is defined.
Here, The function of the car value is given as:
V(x) = 20000 X (0.84)ˣ
When the car reaches half its value, we have:
V(x) = 10000
Substitute V(x) = 10000 in V(x) = 20000 * (0.84)ˣ
10000 = 20000 X (0.84)ˣ
Divide both sides by 20000
0.84ˣ = 0.5
Take the logarithm of both sides
x log(0.84) = log(0.5)
Divide both sides by log(0.84)
x = 4
This means that the maximum value of x is 4.
Thus, all real numbers greater than or equal to 0 and less than 4.
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y=x^2 -2x -3 im not sure how to solve this
Answers
Answer:
It is solved on a graph
Step-by-step explanation:
A quadratic graphical solution.
dollars per pint
pints per dollar.
▼
Find the unit rates. If necessary, round your answers to the nearest hundredth.
$6.79 for 16 pints
Answers
Answer:
0.42 dollar per pint
2.36 pints per dollar
Need help with this geometric question
Answers
Answer: A
Step-by-step explanation:
[tex]V=\frac{1}{2}(6)(4)(2)=\boxed{24}[/tex]
Y=-1/3x+2
A.
B.
C.
D.
Answers
Answer:
C
Step-by-step explanation:
The slope is -1/3, so it will go down and to the right. Down 1, to the right 3 (rise over run!)
The y intercept is 2.
Somebody help me solve;
(1)A fair die is being rolled.
a) Find the probability that at least 5 rolls are needed to obtain the first
one.
b) Find the probability that it will take fewer than seven rolls to obtain the
second one if the first one occurs on the third roll.
Answers
Fewer than 7 rolls to get second 1 after first takes 3 rolls means second occurs on 4th, 5th or 6th roll
The probability of each of these is 1/6, 5/6 x 1/6 and 5/6 x 5/6 x 1/6 respectively.
P(second 1 on 4th, 5th or 6th roll) = 1/6 + 5/36 + 25/216 = 91/216 = 0.4213 (4sf)
????????????????????
Answers
Answer:
[tex]\text{C.} \ \ \ {\left(\textit{AB}\right)}^{2} \ = \ \left(\textit{AC}\right)\left(\textit{AD}\right)[/tex]
Step-by-step explanation:
This problem uses the concept of the tangent-secant theorem which describes the relationship of the segments a secant line and a tangent line with the associated circle. This theorem is found as Proposition 36 in Book 3 of Euclid's Elements.
As shown in the figure attached below, segment AB (in blue) forms a tangent with the circle BCD and segment AD (in orange) is the secant where it intersects the circle at point C.
Furthermore, let two segments (in green) be drawn one from point C and point D.
To show that [tex]\triangle ABC[/tex] is similar to [tex]\triangle ADB[/tex], notice that both triangles share a common angle [tex]\angle BAC[/tex]. Additionally, by the alternate segment theorem, [tex]\angle ABC[/tex] is equal to [tex]\angle ADB[/tex]. Therefore, [tex]\angle ACB[/tex] is also equal to [tex]\angle ABD[/tex].
Hence, [tex]\triangle ABC[/tex] is indeed similar to [tex]\triangle ADB[/tex]. This implies the ratio of the sides of both triangles is the same. Particularly,
[tex]\displaystyle{\frac{AB}{AD} \ \ = \ \ \frac{AC}{AB}}[/tex].
Then, performing cross multiplication yields
[tex]{\left(AB\right)}^{2} \ \ = \ \ \left(AC\right)\left(AD\right)[/tex].
Therefore, the product of the lengths of the secant segment and its external segment is equal to the square of the length of the tangent segment.
How to do this please?️
Answers
Step-by-step explanation:
Using dimensional analysis, let convert km to cm.
[tex] \frac{4cm}{1km} \times \frac{km}{100000 \: cm} [/tex]
Cancel out the km
[tex] \frac{4cm}{100000 \: cm} [/tex]
[tex] \frac{1}{25000 } [/tex]
So n= 25000
iii.
Dimensional Analysis
[tex] \frac{3 \: cm}{1 } \times \frac{km}{100000 \: cm} [/tex]
[tex] \frac{3 \: km}{100000} [/tex]
Or
[tex]0.00003 \: km[/tex]
2. Ahmed has ¢15.25 and spent $7.50 at the
Total Shop. How much money does he have
left?
Answers
Answer:
D)¢ 8.75
Step-by-step explanation:
that is my answer please
Factoring using GCF 15cd + 30c^2d^2
Answers
Answer:
15cd(1 + 2cd)
Step-by-step explanation:
greatest common factor is 15cd
[tex]15cd*1 + 15cd*2cd\\= 15cd(1 + 2cd)[/tex]
How to solve this?? (-4)-(-8)+(-4)
Answers
- 4 - (- 8) + (- 4)
- 4 + 8 + (- 4 )
- 4 + 8 - 4
= 0
-4 + 8 - 4
4 - 4
=0
• 2 minus signs make a plus sign
vertical angles must : check all that apply
A. be complementary
B. have the same vertex
C. be congruent
D. be acute
Answers
Answer: B and C
Step-by-step explanation: For A, vertical angles can be complimentary or supplementary. For D, vertical angles can sometimes be acute but not always.
Select the correct answer. Consider functions h and k. Every x value has a relationship in k of x. What is the value of (h o k)(1)? A. 28 B. 4 C. 1 D. 0
Answers
Answer: 0
Step-by-step explanation:
[tex](h \circ k)(1)=h(k(1))=h(4)=\boxed{0}[/tex]
Find the value of x which satisfies the following equation.
log2(x−1)+log2(x+5)=4
Answers
[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]
[tex]\qquad \tt \rightarrow \: x = 3[/tex]
____________________________________
[tex] \large \tt Solution \: : [/tex]
[tex]\qquad \tt \rightarrow \: log_{2}(x - 1) log_{2}(x + 5) = 4[/tex]
[tex]\qquad \tt \rightarrow \: log_{2} \{(x - 1)(x + 5) \} = 4[/tex]
[ log (x) + log (y) = log (xy) ]
[tex]\qquad \tt \rightarrow \: ( x - 1)(x + 5) = {2}^{4} [/tex]
[tex]\qquad \tt \rightarrow \: {x}^{2} + 5x - x - 5 = 16[/tex]
[tex]\qquad \tt \rightarrow \: {x}^{2} + 4x - 5 - 16 = 0[/tex]
[tex]\qquad \tt \rightarrow \: {x}^{2} + 4x -21 = 0[/tex]
[tex]\qquad \tt \rightarrow \: {x}^{2} + 7x - 3x - 21 = 0[/tex]
[tex]\qquad \tt \rightarrow \: x(x + 7) - 3(x + 7) = 0[/tex]
[tex]\qquad \tt \rightarrow \: (x + 7)(x - 3) = 0[/tex]
[tex]\qquad \tt \rightarrow \: x = - 7 \: \: or \: \: x = 3[/tex]
The only possible value of x is 3, since we can't operate logarithm with a negative integer in it.
[tex]\qquad \tt \rightarrow \: x = 3[/tex]
Answered by : ❝ AǫᴜᴀWɪᴢ ❞
Complete the remainder of the
table for the given function rule:
y = ²x + 4
X-6 -3 03 3 6
y 0 [?] [] [] []
Answers
Answer: 2, 4, 6, 8
Step-by-step explanation:
Just plug x into the equation for each one.
x = -3
[tex]y=\frac{2(-3)}{3} +4\\y=\frac{-6}{3} +4\\y=2[/tex]
With this one, you can see it is a linear equation and for every increase of 3 on x, y in increased by 2.
x -6 -3 0 3 6
y 0 2 4 6 8
The table below shows the results of a screening program organized by Level 300 students of the department physiotherapy of the College Health Sciences of the University of Ghana. Complete the table and answer the questions below it using your understanding of probability and its applications to biomedical data.
True Diagnosis for presence of E. Coli
Test results Disease No Disease Total
Positive 35 15
Negative 10 60
Total
a. What is the efficiency of the test? 3 marks
b. What is the sensitivity of the screening kit? 3 marks
c. What is the specificity of the screening kit? 3 marks
d. What is the predictive value (PPV) of the test? 3 marks
e. What is the negative predictive value (NPV) of the test? 3 marks
(15 marks)
2. In double blinded randomized control trial for hypertensive patients attending Cocoa Clinic, thirty (30) 50-59-year-old were admitted into an intervention program for 6 weeks. During the trial, the average improvement in their systolic blood pressure was 15. The average improvement in systolic blood pressure in the general population of hypertensive patients is 20 with a standard deviation of 2.
i. What are the null and alternative hypotheses in this RCT? (2 marks)
ii. What tail is required in this test? (2 marks)
iii. What is the most appropriate statistical test for this study? (2 marks)
iv. State the assumptions of the test. (2 marks)
v. Test the above hypothesis using the appropriate statistical tool (7 marks)
Critical value =3.6
Answers
4. During a camping trip, a group went one-third of the total distance by boat, 10km by foot and One-sixth of it by riding horses. Find the total distance of the trip. Plss answer thiissss
Answers
Answer:
20 km
Step-by-step explanation:
So 1/3 = 2/6
2/6 = distance traveled by boat + 1/6 traveled by riding horses = 3/6 = 1/2
Meaning the 10 km by foot left is the other half
What are the values for y when x is 1, 3, and 5?
y = 3x + 10
Answers
Answer:
13, 19, 25.
Step-by-step explanation:
y=3x+10
-------------
x=1, y=3(1)+10=3+10=13
x=3, y=3(3)+10=9+10=19
x=5, y=3(5)+10=15+10=25
find the distance between the pair of points (7,6) and (4,10)
Answers
Answer:
5 units
Step-by-step explanation:
to find out the answer for this you must first find the distance between 7 and 4 and then 6 and 10
then you would square them and then add them
lastly you would take the square root of that and youd have your answer
so
7 - 4 = 3
6 - 10 = -4 (just use 4)
3^2 + 4^2 = 9 + 16 = 25
then you take the square root of this
sqrt(25) = 5
that is your answer
To solve this problem, you will use the Distance Formula to find the distance between two coordinate points.
Set Up the Distance FormulaThe Distance Formula is defined as follows:
[tex]d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]
We must title our points by the standard coordinate naming system:
[tex](x_1, y_1) \ \text{and} \ (x_2, y_2)[/tex]
Therefore, our points can be labeled:
[tex]x_1 = 7[/tex][tex]y_1 = 6[/tex][tex]x_2 = 4[/tex][tex]y_2 = 10[/tex]Substitute Known Values for VariablesNow, substitute the known values as the variables in the Distance Formula:
[tex]d=\sqrt{(4 - 7)^2 + (10 - 6)^2}[/tex]
You must know the BPEMDAS acronym, which stands for:
Brackets
Parentheses
Exponents
Multiplication
Division
Addition
Subtraction
Simplify the expression using BPEMDAS:
[tex]d=\sqrt{(-3)^2 + (4)^2}[/tex]
Remember that when a number is raised to the 2nd power, it is the same thing as multiplying the number by itself:
[tex]-3\times-3 = 9[/tex]
[tex]4\times4=16[/tex]
Simplify further by removing the parentheses:
[tex]d=\sqrt{9+16}[/tex]
Compute the additive operation:
[tex]d=\sqrt{25}[/tex]
Simplify the RadicandThe number that is placed inside of a square root symbol (or a radical symbol) is referred to as the radicand.
In this situation, the radicand is 25.
To simplify the radicand, you may either use a calculator to compute the result, or you can determine which number raised to the 2nd power will result in a final answer of 25.
In this case, we can determine that 5² will result in a final answer of 25.
[tex]5^{2} = 25[/tex]
The final answer is 5 units.
Question 10 of 10
Rewrite the following linear equation in slope-intercept form. Write your
answer with no spaces.
v+2=4(x-3)
Answer here
Answers
y+2=4x-12
y+2-2=4x-12-2
y=4x-14
Juan is learning about like terms in his math class. He must check all the combinations below that are like terms which ones should he check? 3x and x 1/4 and 0.5 -m and 8m -xy2 and 2xy2 y and y2 4xy and -5x2y m and n -7 and 6
Answers
Answer:
he should check
3x and x
1/4 and 0.5
-m and 8m
-xy2 and 2xy2
Step-by-step explanation:
Answer:
The answer is A B C D H
Step-by-step explanation:
Pandas: There is a well-studied panda population in Wuyipeng. In 1981 there were 25 pandas and the researchers determined that they had an annual population grows by 6.6% each year. Which of the following models correctly represents this data?
Answers
The equation that models the data on pandas is FV = 25(1.066)^t.
What models the data?The formula for calculating future value of the pandas is:
FV = P (1 + r) ^n
FV = Future value P = Present value R = annual population growthN = number of yearsFV = 25(1.066)^t
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The stock of Company A lost 2% today to $73.50. What was the opening price of the stock in the beginning of the day?
Answers
The opening price of the stock in the beginning of the day will be $75.
What is the percentage?The quantity of anything is stated as though it were a fraction of a hundred.
The stock of Company A lost 2% today to $73.50.
Let x be the opening price of the stock in the beginning of the day.
Then the opening price of the stock in the beginning of the day will be
0.98 · x = 73.5
x = 73.5 / 0.98
x = $75
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Please help!
Julie wants to show that a quadrilateral with vertices J(2, 3), K(2,7), L(-2,7), M(-2,3) is a square. Using the distance formula, what should she find the length of each side to be?
8
4
3
2
Answers
Answer:
4 is the answer
Answer:
4 is the answer I believe
The radius of a circle is 5 cm (to the nearest cm). What is the smallest value
that the circumference could have?
Answers
Answer: 31 cm.
explanation:
Given, Radius = 5 cm (near to)
this means the radius is near 5 cm. It can be 4.9, 4.99, 4.999.....or 5.01,5.001,5.001...... and so on.
So, the circumference of the circle is given by:-
Circumference = 2× [tex]\pi[/tex] × r
⇒ 2 × 22/7 × 5 (for the smallest value, we'll consider r as 5 and then round off the circumference to the smallest value)
⇒ 220/7 ≈ 31.43 cm
rounding off to the smallest integer, we have
Circumference = 31 cm.
The smallest value that the circumference could have is 10 [tex]\pi[/tex]cm
Using Formula,
Circumference = 2 [tex]\pi \\[/tex] r
Radius = 5 cm
So, C = 2 [tex]\pi[/tex] 5
C = 10 [tex]\pi[/tex]cm
Therefore circumference is 10 [tex]\pi[/tex]cm.
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You invested $7,000 into a money market account for 10 years at an annual interest rate of 3%. How much is the accrued interest?
Answers
The total interest accrued is $2,407.41 if you invested $7,000 into a money market account for 10 years at an annual interest rate of 3%.
What is invested amount?An investment is a payment made to acquire the securities of other firms with the intention of making a profit.
We are assuming the interest will be compounded annually
[tex]\rm A = P(1+\dfrac{r}{n})^{nt}[/tex]
Where A = Final amount
P = Principal amount
r = annual rate of interest
n = how many times interest is compounded per year
t = How long the money is deposited or borrowed (in years)
We have:
P = $7000
r = 3% = 0.03
t = 10 years
n = 1
[tex]\rm A = 7000(1+\dfrac{0.03}{1})^{1\times10}[/tex]
After calculating:
A = $9407.41
I = A - P = 9407.41 - 7000 = $2,407.41
Thus, the total interest accrued is $2,407.41 if you invested $7,000 into a money market account for 10 years at an annual interest rate of 3%.
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what is the slope of the line represented by the equation y = 4/5x -3?
Answers
Answer:
4/5
Step-by-step explanation:
Slope
Slope y-intercept of a line: y = mx + b
Where m is the slope and b is the y-intercept.
[tex]\sf y =\dfrac{4}{5}x-3\\\\\boxed{Slope = \dfrac{4}{5}}[/tex]
hi brainly user! ૮₍ ˃ ⤙ ˂ ₎ა
⊱┈────────────────────────┈⊰
[tex]\large \bold {ANSWER}[/tex]
[tex]\large \boxed { \large \sf \green{m = \frac{4}{5} }}[/tex][tex]\large \bold {EXPLANATION}[/tex]
This line is in slope-intercept form, y=mx+b, where m represents the slope and b represents the y-intercept.
So that we can conclude that the slope is 4/5.
please help me.
Which quantity is multiplied by pi () in the formula for the area of a circle?
A. d
OB. 2
O c. d
D. r
Answers
Detailed Explanation:
The formula for calculating the Area of a Circle is πr^2 where π is being multiplied with r^2. Hence, the correct option is B.
