Answers
In ∆PQR and ∆MNR
PQ=MNQR=RN<Q=<M=90°Hence by
Side angle side congruency
[tex]\\ \sf\longmapsto ∆PQR\cong ∆MNR[/tex]
Step-by-step explanation:
PQ ≅ MN ⇒ Given
QR ≅ NR ⇒ Given
R is midpoint of PM ⇒ Given
PR ≅ MR ⇒ Definition of midpoint
ΔPQR ≅ ΔMNR ⇒ SSS postulate
Related Questions
A line passes through the points (4, 4) and (6, 10). What is its equation in slope-intercept form?
Answers
Answer:
3x-8
Step-by-step explanation:
math
Answer:
y=3x-8
Step-by-step explanation:
The slope of this is the rise over the run. Using the points, we can do (10-4)/(6-4) to get the slope. After solving this, we get 3 as the slope! Slope intercept form is in y=mx+b where m is the slope and b is the y-intercept.
So, y=3x+b
We can insert any of those coordinates into this equation and solve for b to get the y-intercept. If we insert (4,4), then we get 4=3(4)+b
: 4=12+b
:-8=b
Now that we have -8 as the y-intercept, we can insert that as b to get y=3x-8 as the equation in slope intercept form.
If Val walls 1/2 mile for every 3/4 mile she runs if she walked 2 miles how many miles did she run
Answers
Explanation:
1/2 miles walked) • X = (2 Miles walked)
X= 4
4 • 3/4 miles ran = 12/4 miles ran = 3 miles ran.
299 divided by 21 step by step
Answers
Start by setting it up with the divisor 21 on the left side and the dividend 299 on the right side like this:
2 1 ⟌ 2 9 9
Step 2:
The divisor (21) goes into the first digit of the dividend (2), 0 time(s). Therefore, put 0 on top:
0
2 1 ⟌ 2 9 9
Step 3:
Multiply the divisor by the result in the previous step (21 x 0 = 0) and write that answer below the dividend.
0
2 1 ⟌ 2 9 9
0
Step 4:
Subtract the result in the previous step from the first digit of the dividend (2 - 0 = 2) and write the answer below.
0
2 1 ⟌ 2 9 9
- 0
2
Step 5:
Move down the 2nd digit of the dividend (9) like this:
0
2 1 ⟌ 2 9 9
- 0
2 9
Step 6:
The divisor (21) goes into the bottom number (29), 1 time(s). Therefore, put 1 on top:
0 1
2 1 ⟌ 2 9 9
- 0
2 9
Step 7:
Multiply the divisor by the result in the previous step (21 x 1 = 21) and write that answer at the bottom:
0 1
2 1 ⟌ 2 9 9
- 0
2 9
2 1
Step 8:
Subtract the result in the previous step from the number written above it. (29 - 21 = 8) and write the answer at the bottom.
0 1
2 1 ⟌ 2 9 9
- 0
2 9
- 2 1
8
Step 9:
Move down the last digit of the dividend (9) like this:
0 1
2 1 ⟌ 2 9 9
- 0
2 9
- 2 1
8 9
Step 10:
The divisor (21) goes into the bottom number (89), 4 time(s). Therefore put 4 on top:
0 1 4
2 1 ⟌ 2 9 9
- 0
2 9
- 2 1
8 9
Step 11:
Multiply the divisor by the result in the previous step (21 x 4 = 84) and write the answer at the bottom:
0 1 4
2 1 ⟌ 2 9 9
- 0
2 9
- 2 1
8 9
8 4
Step 12:
Subtract the result in the previous step from the number written above it. (89 - 84 = 5) and write the answer at the bottom.
0 1 4
2 1 ⟌ 2 9 9
- 0
2 9
- 2 1
8 9
- 8 4
5
You are done, because there are no more digits to move down from the dividend.
The answer is the top number and the remainder is the bottom number.
Therefore, the answer to 299 divided by 21 calculated using Long Division is:
14
5 Remainder
HELP ME PLEASE IS IMPORTANT AND ASAP!
Determine whether f(x)= 5 - 2x2 -5x has a maximum or a minimum value and find that value.
Answers
Answer:
maximun (0,5)
Step-by-step explanation:
Answer:
So, I put Maximum. (-5/4, 65/8) and it was correct
Step-by-step explanation:
I don't know how to do step by step sorry
confused can get some help plz
Answers
Answer:
Blue costs 2.875 or 2.88 if rounded, Red costs 3.875 or 3.88 if rounded
Step-by-step explanation:
I need help plss!!!!!!!
Answers
Answer:
5/2
Step-by-step explanation:
are you the same dude I just answered or are two people taking the same test lol
c = x/y = 5/2
Which In this instance would be 5/2
Four bags of puppies show dog food weight 142 pounds what is the weight in one pound of one bag of the puppy chow dog food
Answers
Answer:
I think youre trying to ask the weight of one of the bags
Step-by-step explanation:
the answer is 35.5 you take the total weight and divide it by the number of bags hope this helps
In a recent year, 39% of all college students were enrolled part-time. If 5.8 million college students were enrolled part-time that year, what was the total number of college students?
Round your answer to the nearest million.
Answers
Answer:
15 million
Step-by-step explanation:
39% of all college students enrolled part-time.
5.8 million college students enrolled part-time.
Let x = the total number of college students.
39/100 • x = 5.8
x = 5.8 • 100/39
x = 14.87
=15 million
Hope this helps :)
2p+3q=-7
3p+5q=-12
What is the solution in an ordered pair?
Answers
Answer:
(p, q ) = (1, - 3 )
Step-by-step explanation:
2p + 3q = - 7 → (1)
3p + 5q = - 12 → (2)
Multiplying (1) by 3 and (2) by - 2 and adding the result will eliminate p
6p + 9q = - 21 → (3)
- 6p - 10q = 24 → (4)
Add (3) and (4) term by term to eliminate p
0 - q = 3
-q = 3 ( multiply both sides by - 1 )
q = - 3
Substitute q = - 3 into either of the 2 equations and solve for p
Substituting into (1)
2p + 3(- 3) = - 7
2p - 9 = - 7 ( add 9 to both sides )
2p = 2 ( divide both sides by 2 )
p = 1
If a = 8 and b = 36 calculate the value of a^(1/3) b^(-3/2)
Answers
Answer:
[tex]\frac{1}{108}[/tex]
Step-by-step explanation:
Using the rules of exponents
[tex]a^{\frac{m}{n} }[/tex] = [tex]\sqrt[n]{a^m}[/tex]
[tex]a^{-m}[/tex] = [tex]\frac{1}{a^m}[/tex]
[tex]a^{\frac{1}{3} }[/tex] × [tex]b^{-\frac{3}{2} }[/tex] ← substitute a = 8 and b = 36
= [tex]8^{\frac{1}{3} }[/tex] × [tex]36^{-\frac{3}{2} }[/tex]
= [tex]\sqrt[3]{8}[/tex] × [tex]\frac{1}{36^{\frac{3}{2} } }[/tex]
= 2 × [tex]\frac{1}{(\sqrt{36})^3 }[/tex]
= 2 [tex]\frac{1}{6^3}[/tex]
= 2 × [tex]\frac{1}{216}[/tex]
= [tex]\frac{1}{108}[/tex]
you could give away 70 coffee mugs without charging anything.
If you charge $10.00, nobody will buy the coffee mugs. You also figured out that your sales will be decreasing
following straight line. Your job is to find the maximum possible revenue from selling the coffee mugs.
Answer the following questions:
1. Graph the linear relationship between the price of coffee mugs p, and the number of coffee mugs sold S.
Hint: To give away 70 coffee mugs means when the price p=0, S(0) = 70. Plot that point on the graph. Find one
more point using the other given condition. Keep in mind S(p) is a linear function. Be careful what will be
represented on the x-axis, and what will be represented on the y-axis.
2. Find the equation of the linear function S(p) that describes the quantity sold as a function of the price p.
3. The revenue is determined by R = Sp. Express the revenue as a function of the price p.
Help: You may look at the examples from the power point for section 2.6
4. Graph the revenue function. Make sure to label the x - and the y - axis with the appropriate units.
5. At which price per coffee mug do you not make any money?
6. Find the price per coffee mug that makes the most revenue.
7. How many coffee mugs must be sold to maximize the revenue?
8. What is the maximum revenue?
9. What price per coffee mug you should charge to collect at least $70 in revenue?
Your project will be graded based on the following:
1. Turned in a hard copy, and an electronic version as a PDF file on Blackboard on time (due date Dec 7
or before ) (5pts. deduction per day)
2. Completeness (no missing part, show all of your work, calculations, formulas used etc.
3. Precision ( correct answers )
4. Complete graph
the graph has a title
the axes are labeled ( make sure you have included the units of measurement)
-
Answers
At $ 10 per mug you will not get any money; the maximum possible revenue is $ 175, which will be obtained by selling the mugs for $ 5; and to get at least $ 70 in revenue the mugs must be sold for $ 2.
Since you could give away 70 coffee mugs without charging anything, and if you charge $ 10.00, nobody will buy the coffee mugs, and you also figured out that your sales will be decreasing following straight line, and your job is to find the maximum possible revenue from selling the coffee mugs, to determine at which price per coffee mug do you not make any money; the price per coffee mug that makes the most revenue; how many coffee mugs must be sold to maximize the revenue; what is the maximum revenue; and what price per coffee mug you should charge to collect at least $ 70 in revenue; the following calculations must be performed:
70 = 0 0 = 10 35 = 5 63 x 1 = 63 56 x 2 = 112 49 x 3 = 147 42 x 4 = 168 35 x 5 = 175 28 x 6 = 168
Therefore, at $ 10 per mug you will not get any money; the maximum possible revenue is $ 175, which will be obtained by selling the mugs for $ 5; and to get at least $ 70 in revenue the mugs must be sold for $ 2.
Learn more about quantities in https://brainly.com/question/25797049
Which of the ratios below has a unit rate of 5? Select all that apply. A) 10:5 B) 4:16 C) 15:3 D) 25:5 E) 40:8
Answers
Answer:
C D E
Step-by-step explanation:
15:3=5
25:5=5
40:8=5
Please help asap!! Thanks:) and please don’t answer just for points
Answers
Answer:
68 ft^2
Step-by-step explanation:
Find the area of the large rectangle as if the piece were there
A = l*w
A = 6 * 14
A =84
Subtract the area of the square that is missing
A = 4*4 = 16
84 - 16 =68
The area of the figure is 68 ft^2
Painted Pots lets customers choose and paint their own pottery. The store has teapots in
multiple sizes. Rebecca chose to paint the largest teapot offered, which cost $18. She also
painted 4 small teacups to go with her teapot. Rebecca spent a total of $42 on pottery.
3
Which equation can you use to find c, the cost of each teacup?
Time
elapse
00
09
18(C + 4) = 42
40 + 18 = 42
SmartSco
Out of 100
18C + 4 = 42
4(0 + 18) = 42
What was the cost of each teacup?
Answers
Using a linear equation, we find c using:
[tex]42 = 18 + 4c[/tex]
A linear function has the following format:
[tex]A(n) = A(0) + cn[/tex]
In which:
c is the slope, which is the price per unit.A(0) is the y-intercept, which is the fixed price.In this problem, fixed price of $18, hence [tex]A(0) = 18[/tex]
She bough 4 units, and it cost $42, hence: [tex]n = 4, A(n) = 42[/tex]
Then
[tex]A(n) = A(0) + cn[/tex]
[tex]42 = 18 + 4c[/tex]
Hence, the equation to find c is:
[tex]42 = 18 + 4c[/tex]
A similar problem is given at https://brainly.com/question/16302622
Which of the following sets here the closure property w.r.t. Addition
(A) {0}
(B) {0, -1)
(C) (0, 1)
)
(D) {1,V3.
Answers
Answer:
the answer is number 1 make my answer brainlist answer
At an outdoor party location, the tables seat 12 guests each. The party host invited 163 people and 9 people responded that they would not attend. What is the fewest number of tables needed to seat all of the guests attending the party?
Answers
Answer:B
Step-by-step explanation:
Using the remainder theorem, find F(2) for the polynomial function
F(x) = 3x3 - 5x2 + 13x - 19.
Answers
PLEASE HELP THIS IS DUE IN CLASS TODAY
Answers
Hey I dont know that answer but if you download Gaumath and take a picture of the problem the tutors on there will help you for free
ben bolwed 138 and 208 in his first two games. What must he bowl in his third game to have an average of at least 170?
Answers
Answer:
at least 164
Step-by-step explanation:
Let the third score = x.
(138 + 208 + x)/3 ≥ 170
x + 346 ≥ 510
x ≥ 164
Answer: at least 164
A shopping mall has $3,368 to spend on new tiles for the floor. If each tile costs $8, how
many tiles can the mall buy?
tiles
Answers
Answer:
421 tiles
Step-by-step explanation:
3368/8=421
Answer:
421 tiles
Step-by-step explanation:
Divide $3368 by $8 to determine the number of tiles the store can purchase:
$3368/($8 per tile) = 421 tiles
Use point-slope form to write the equation of a line that passes through the point
(-6,3) with slope – 2.
Answers
Answer:
y = -2x - 9
Step-by-step explanation:
Slope = - 2
Using the slope = -2 and the point (-6, 3) substitute into y= mx + b and solve for "b"
y = mx + b
3 = -2(-6) + b
3 = 12 + b
3 - 12 = b
-9 = b
The equation of the line is y = -2x - 9
Rewrite 4/6 and 1/3 as a unite rate
Answers
Answer: B
Step-by-step explanation: Hope this helps :)
Determine whether each equation represents a linear or nonlinear function.
Drag each equation into the appropriate box.
Linear Function Nonlinear Function
y = {x-6
y = (x - 5)2
y = 2* +8
y = 3(x + 7)
y = 4x3 - 1
Answers
Answer:
y=1/2x=6 - linear, written as y=mx+b.
y=(x-5)^2 - nonlinear, x has an exponent greater than 1
y=2^x+8 - nonlinear, x is an exponent
y=3(x+7) - linear, can be written as y=mx+b (y=3x+21)
y=4x^3-1 - nonlinear, x has an exponent greater than 1
Step-by-step explanation:
What is the interquartile range of the lengths of bananas?
Answers
Answer:
I couldn't decipher your question heres a graph for https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7984252/
that contains quartile ranges of stored bananas
Step-by-step explanation:
If this doesn't help please correct your question or tell me more so I can better help you
Isolate the x
x + y/3 = 5
Answers
Answer:
x = 5 - y/3
Step-by-step explanation:
plsss help me with this:((((
Answers
Answer: c. x + 3
Step-by-step explanation:
The first equation tells us the total area of the cloth. The second is the area of each piece. Divide the total area by the piece area to determine how many individual pieces can be made.
(x^3 + 27) can be factored into:
(x+3)(x^2 - 3x + 9) [Not easy, but true]
[(x+3)(x^2 - 3x + 9)]/(x^2 - 3x + 9)
(x^2 - 3x + 9) is on both sides, so it cancels, leaving (x + 3)
jonshelle is developing a new bread recipe. the relationship between cups of water,w, and cups of flour,f, is w= 3/5f. what is the scale to water to flour
Answers
Answer:
3:5
Step-by-step explanation:
ratio!
HELP ME PLEASE AAAAAAAAAAA
Answers
Answer:
180°consecutive interior angles are supplementary∠620°, 160°Step-by-step explanation:
The blanks get filled in like this:
Statement 3: m∠6 +m∠4 = 180°
Reason 3: Consecutive interior angles are supplementary
Statement 4: m∠6 +8·m∠6 = 180°
Statement 5: m∠6 = 20°, m∠4 = 160°
_____
You can see from the diagram that angles 4 and 6 are consecutive interior angles. You know the relation between those angles is that they are supplementary. The problem is asking you to state that relationship as Reason 3.
The given relation between the angles, m∠6 = 1/8·m∠4, can be recast as ...
8·m∠6 = m∠4
This is the substitution that is used in statement 4.
Simplifying that statement gives 9·m∠6 = 180° ⇒ m∠6 = 180°/9 = 20°. Then m∠4 = 8·m∠6 = 8·20° = 160°.
Can someone help me on these two questions? NO LINKS!
Answers
Answer:
6. a 7. c
Step-by-step explanation:
6. 72 is multiple of 24 and has 18 as a factor
7. 56= 32= 88
8(7+ 4)
=) 56+ 32= 88
OR
=) 8(11)= 88
56+32=88
8(11)=88
A class has 8 boys and x girls. Each student has 4 pencils. The total number of pencils the students is 52.Create an equation that models this situation.How many girls are in the class?
Answers
8 boys, x girls, 4 pencils each, total number of pencils 52.
The equation can be 4(8+x) = 52
So lets solve:
4(8+x)=52
Divide 4 on both sides:
8 + x=52 / 4
8 + x = 13
Subtract on both sides:
x = 13 - 8
x = 5
There are 5 girls in the class.
Now lets solve to double check:
4(8+5)=52
4(13)=52
52 = 52
Yes!
This means that there are 5 girls in the class.
I hope this helps! :)
Taking into account the definition of equation, there are 5 girls in the class.
Definition of equationAn equation is defined as an equality established between two expressions, in which there may be one or more unknowns that must be solved.
In other words, an equation is the equality between two algebraic expressions connected through the equals sign in which one or more unknown values, called unknowns, appear in addition to certain known data.
Each equation has two members, and these are separated by using the equal sign (=), which in turn each of them are made up of terms.
The unknowns, that is, the values to be found, are represented by letters.
The equality between the two algebraic expressions is only verified for certain values of the unknown.
In this way, the solution of an equation means determining through certain procedures the value that satisfies it.
Equation for this situationA class has 8 boys and x girls. Each student has 4 pencils. The total number of pencils the students is 52.
An equation that models this situation is:
4×(8+x)= 52
It is considered that:
When a value you are adding goes to another side of the equation by subtracting.If a value you are subtracting goes to the other side of the equation by adding.When a value you are dividing goes to another side of the equation, it will multiply whatever is on the other side.If a value you are multiplying goes to the other side of the equation, then it will go by dividing everything on the other side.Solving in this case:
8 +x= 52÷4
8 +x= 13
x= 13 -8
x= 5
Finally, there are 5 girls in the class.
Learn more about equation:
https://brainly.com/question/296895
https://brainly.com/question/643184