Answers
Step-by-step explanation:
We have:
PQ ≅ MN GivenQR ≅ RN GivenPR ≅ RM Definition of midpointAs per above three sides of one triangle are congruent to three sides of another triangle.
ΔPQR ≅ ΔMNR SSS (Side - side - side) congruenceIn ∆PQR and ∆MNR
PQ=MN
QR=RN
<Q=<M=90°
Hence by
Side angle side congruency
[tex]\\ \sf\longmapsto ∆PQR\cong ∆MNR[/tex]
Proved
Related Questions
Grace has $105 to buy a cake and pizza for her cousin’s birthday party. She knows she needs to set aside $25 for the cake, and the rest of the money she can spend on pizzas. Each pizza costs $9.25. How many pizzas can Grace afford to buy?
a.write and solve an inequality to answer the question
b. each pizza serves 4 people. if 22 people reply that they will attend the party, how many pizzas should grace buy? explain your reasoning.
im sorry its alot but this will help me lots
Answers
Answer:
A. She can buy 8 pizzas; B. At least 6 pizzas.
Step-by-step explanation:
Since Grace has $105, we can set our inequality to be less than or equal to that amount of money. We also know she needs to spend $25 on the cake no matter what. Assuming x is the amount of pizzas she can buy and each pizza costs $9.25, our inequality looks like this:
9.25x + 25 ≤ 105
To solve this inequality, we first subtract 25 from both sides, which gives us:
9.25x ≤ 80
Then we divide by 9.25 on both sides, giving us:
x ≤ 8.6486
Since Grace is only able to buy whole pizzas, the most she can buy is 8 pizzas.
If each pizza serves 4 people and there are 22 people attending, we need to be able to feed 22 or more people. We can use this inequality, where x is still the number of pizzas.
4x ≥ 22
Dividing both sides by 4, we get:
x ≥ 5.5
Again, assuming we can only buy whole pizzas, we would need at least 6 pizzas to feed the entire party.
find the the equations of the circle passing through (1, 4) and having the diameters of 3x-4y=1 and 2x+y=8?
Answers
Answer:
In order to write the equation of a circle, we need two things their centre as well as the radius. so….diameter always intersect each other at the centre of the circle, hence after solving the equation of diameter, we get the intersecting point(x, y)=(3,2). now, we have already given one point…and as per the question circle passing through that point itself. so by applying distance formula, we can obtain the value of radius. thus we get radius 2√2. now we have required things to get the equation of a circle. we know the standard equation of circle having centre =(x1,y1) and radius = r is (x-x1)²+(y-y1)²=r² hence we can find the equation of circle by putting the coordinate (x1,y1)=(3,2) and radius =2√2 in the above mentioned standard equation.
Step-by-step explanation:
:3
Please help! People on my last post didn’t help :(! I’ll give brainliest.
Bill keeps a colony of honeybees on his property. He has created an expression to represent
the number of honeybees that are in the colony t years after he decided to create the colony.
The expression Bill created is -1644 + 160t2 – 144.
After deciding to create the colony, it took a fair amount of time to prepare before actually
getting bees in his colony. After some time, the population in the colony started to decrease;
eventually Bill lost his colony.
(The questions are listed in the photo)
Answers
Answer:
It is 7823
Step-by-step explanation:
This is the right answere because it shows us how each number is placed and what we do with it
What is the slope of the line passing through (1, 2) and (3.8)?
Answers
Answer:
The slope = 3
Step-by-step explanation:
The points are:
( 1, 2 ) = x₁ , y₁
( 3, 8 ) = x₂ , y₂
The slope is calculates as follows:
slope = [tex]\frac{y_{2} -y_{1} }{x_{2}-x_{1} }[/tex]
= [tex]=\frac{8 - 2}{3-1} \\=\frac{6}{2} \\=3[/tex]
Answer: The slope of the line is 3
Step-by-step explanation: first you take the points (1,2) and (3,8) then you put then in to the slope formula y2-y1 over x2-x1 which would be 8-2 over 3-1 which 8-2 is 6 and 3-1 is 2 therefore it would be 6/2 which simplified is 3 so the slope is three I hope this helps
helpppp me pleaseee
Answers
Answer:
C
Step-by-step explanation:
Conner has $3 more than chi and $2 more than Cher Jan has &1 less than Cher together they have $28 how much does Conner have
Answers
Answer:
$32
Step-by-step explanation:
Step-
By-Step
0.011 divided by 0.25
Answers
Answer:
0•044 is the correct answer
Answer:
0.044
Step-by-step explanation:
The new location for a park needs to be exactly 5 miles from the school. When plotted on the coordinate plane, the school is located at (3, 3).
Use the Pythagorean theorem to determine two possible locations on the coordinate plane for the park.
Answers
Answer:
the answer is -1, 0 and 6, -1
Step-by-step explanation:
-1, 0 and 6, -1
(Hope this helps can I pls have brainlist (crown)☺️)
−2/3x = 10y – 2 written in standard form
Answers
Answer:
-2x=30y-6
2x+30y-6=0
Step-by-step explanation:
David hikes 2 1/4 mile in 1/2 an hour. if he walks for 7 hours how far will he have gone?
Answers
express \sqrt{3} - \frac{2}{\sqrt{3} } [tex]\sqrt{3} - \frac{2}{\sqrt{3} }[/tex]
Answers
[tex]\sqrt{3} - \frac{2}{\sqrt{3} } = \frac{3}{\sqrt{3} } - \frac{2}{\sqrt{3} } = \frac{1}{\sqrt{3} } = \frac{\sqrt{3} }{3}[/tex]
ok done. thank to me :>
Write equations for the horizontal and vertical lines passing through the point (-4,2)
Answers
Answer:
y=2
x=-4
hope this helps!
Gaya spends $48 to buy books that cost Sx each.
(a) Write down an expression, in terms of x, for the number of books Gaya buys.
(b) Myra spends S60 to buy books that cost S(x+2) each.
Gaya buys 4 more books than Myra.
Show that x^2+5x-24 = 0.
Answers
The relationships between the amount spent on books and the cost of
each book is a proportional relationship.
The correct responses are;
[tex](a) \ \displaystyle \mathrm{The \ number \ of \ books \ Gaya \ buys \ is } \ \underline{\frac{48}{x} \ books}[/tex][tex]\mathrm{(b) \displaystyle \underline{ \left(\frac{48}{x} -4 \right) \cdot \left(x + 2 \right) - 60 = x^2 - 5 \cdot x - 24 = 0}}[/tex]Reasons:
The amount Gaya spends on books = $48
The cost of each book = $ x
(a) The expression in terms of x for the number of books Gaya buys is therefore;
Number of books Gaya buys × $ x = $48
Therefore;
[tex]\displaystyle Number \ of \ books \ Gaya \ buys = \frac{\$48}{\$ x}[/tex](b) The amount Myra spends to buy books = $60
The cost of each book = $·(x + 2)
The number of books Myra buys = The number of books Gaya buys - 4
We have;
[tex]\displaystyle Number \ of \ books \ Myra \ buys = \frac{48}{x} - 4[/tex]
Which gives;
[tex]\displaystyle \mathbf{\left(\frac{48}{x} - 4 \right) \cdot \left(x + 2 \right)} = 60[/tex]
Using a graphing calculator, we get;
[tex]\displaystyle \frac{4 \cdot x^2 - 20 \cdot x - 96}{x} = 60[/tex]
4·x² - 20·x - 96 = 60·x
Which gives;
4·x² + 40·x - 60·x - 96 = 0
4·x² - 20·x - 96 = 0
x² - 5·x - 24 = 0
Learn more here:
https://brainly.com/question/17627037
help 6th grade math im will give brainliest
Answers
ok I don't see the thing you need help with
What do you need help with?
What is the answer to this Multi Step equation?
2y+29-8y=5
Answers
Answer:
Y=4
Step-by-step explanation:
Let's solve your equation step-by-step.
2y+29−8y=5
Step 1: Simplify both sides of the equation.
2y+29−8y=5
2y+29+−8y=5
(2y+−8y)+(29)=5(Combine Like Terms)
−6y+29=5
−6y+29=5
Step 2: Subtract 29 from both sides.
−6y+29−29=5−29
−6y=−24
Step 3: Divide both sides by -6.
−6y/-6=-24/-6
y=4
Hope this Helps
find the 10th term
FORMULA: Tn=a+d(n-1)
Answers
Answer:
T₁₀ = 23
Step-by-step explanation:
The nth term of an arithmetic sequence is
[tex]T_{n}[/tex] = a + (n - 1)d
where a is the first term and d the common difference
Here a = - 4 and d = T₂ - T₁ = - 1 - (- 4) = - 1 + 4 = 3 , then
T₁₀ = - 4 + (9 × 3) = - 4 + 27 = 23
Answer:
-4,-1,2,5 turn into consecutive terms
d=-1-(-4)
d=2-(-1)
d=5-2
d=-1-(-4) calculate the value
d=3
d=2-(-1)
d=5-2
So it is a Arethmetic Sequence
That's my answer hope it helps
Yall i need help asap! please help
Answers
3) 1010000
4) 1582
I helped
2 1/4 divided by 3/4 i need it fast tho-
Answers
Answer:
3
Step-by-step explanation:
We have to divide 2 1/4 by 3/4
First convert 2 1/4 to an improper fraction
2 1/4 = (2*4 + 1)/4 = 9/4
Divide 9/4 by 3/4
(9/4)/(3/4)
The denominator of both the numerator and denominator are the same and can be canceled. This gives 9/3
Now cancel the common factor 3, which gives 3
The required value of 2 1/4 divided by 3/4 is 3
Answer:
Step-by-step explanation:
Use KCF method
Keep the first
Change division to multiplication
Flip the second
[tex]2\dfrac{1}{4}=\dfrac{9}{4}\\\\\[/tex]
9/4 ÷ 3/4
[tex]= \dfrac{9}{4}*\dfrac{4}{3}\\\\= 3[/tex]
NEED HELP ASAP! WILL GIVE BRAINLIEST!
Choose the graph that represents the following system of inequalities: y ≥ −3x + 1 y ≤ 1 over 2x + 3 In each graph, the area for f(x) is shaded and labeled A, the area for g(x) is shaded and labeled B, and the area where they have shading in common is labeled AB. Graph of two intersecting lines. Both lines are solid. One line f of x passes through points negative 2, 2 and 0, 3 and is shaded above the line. The other line g of x passes through points 0, 1 and 1, negative 2 and is shaded above the line. Graph of two lines intersecting lines. Both lines are solid. One line g of x passes through points negative 2, 2 and 0, 3 and is shaded below the line. The other line f of x passes through points 0, 1 and 1, negative 2 and is shaded above the line. Graph of two intersecting lines. Both lines are solid. One line passes g of x through points negative 2, 2 and 0, 3 and is shaded below the line. The other line f of x passes through points 0, 1 and 1, negative 2 and is shaded below the line. Graph of two intersecting lines. Both lines are solid. One line f of x passes through points negative 2, 2 and 0, 3 and is shaded above the line. The other line f of x passes through points 0, 1 and 1, negative 2 and is shaded below the line.
Answers
Answer:
(a)
Step-by-step explanation:
Graph of two intersecting lines. Both lines are solid. One line f of x passes through points negative 2, 2 and 0, 3 and is shaded above the line. The other line g of x passes through points 0, 1 and 1, negative 2 and is shaded above the line
F = 1/5 gh^2
solve for h
Answers
Answer:
First of all, let's multiply both sides by 5, clearing the denominators:
Then, as long as g is not zero, we can divide by g, and let's read right to left:
At this point, assuming F and g are either both positive or both negative, we can take the square root of both sides:
If h represent a quantity that is positive by it's nature (ie, the length of a segment) you can consider only the positive root, ie ignoring the plus or minus sign.
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12. An electrician charges a 45.00 dollars travel fee plus 30.00 dollars per hour of labor. Let y be the cost in dollars for x hours of work. Write the slope-intercept form of the equation.
y = 45+30x
13. Using the equation from number 12, if the electrician works 3 hours on a job, how much will the bill be?
14. Using the equation from number 12, if you have a budget of 300.00 dollars for this job, what is the most full hours the electrician can work? Note: You want the largest number of hours without going over your budget.
Answers
Answer:
12. y=30x+45
13. 135 dollars
y=45+30(3)
y=45+90
y=135 dollars
14. 8 full hours
300=45+30x
255=30x
x = 8.5 or 8 full hours
plz help with this one its the last question I need to pass this assignment
Answers
Answer:
x = 20
Step-by-step explanation:
these 3 angles form a straight line, which is 180°
3x + 80 + 2x = 180
5x + 80 = 180
5x = 100
x = 20
1st ∡ = 3(20) or 60°
3rd ∡ = 2(20) or 40°
Answer:
20
step by step explanation:
this angle is an angle on a straight line; which means, it is 180 degrees.. so :-
2x + 3x + 80 = 180 ( sum of the angles on a straight line is 180 ) < this is the theorum that has to be written
5x + 80 = 180n it became 5x coz u have to add the like terms
5x = 180 - 80 u have to subject the 5x
5x ÷ 5 = 100 ÷5 u need to cancel the 5... so since 5 is multiplied to X , to cancel it we need to divide it
x = 20
2x = 40 (20 × 2)
3x = 60 (20×3)
hope this helps ☆☆☆
7. The perimeter of a rectangular pool is 70 meters. If the width of the pool
is 12 meters, then find its length.
Answers
Answer:
23 meters
Step-by-step explanation:
You would subtract 24 from 70, and then divide by two.
70-24=46
46/2 = 23
> 70 = 2length + 24
Subtract 24 from both sides
> 46 = 2length
Divide by 2
> 23= length
The length of the pool is 23 meters
00
A student ran a distance of 33 miles each day for 5 days. Then the student ran a distance of 4 miles each day
for the next 5 days.
What was the total distance in miles the student ran during these 10 days?
Answers
10days = ... miles
= 5days × 2
= 33 × 2
= 66miles
What is 3/4 multiplied by 3
Answers
A scale drawing of triangle ABC has side lengths of 2 centimeters (cm), 4.8 cm, and 5.2 cm. The scale drawing was drawn using the scale of 1 cm=4 inches.
Raquel creates a different scale drawing of the original triangle ABC with the scale factor 116.
What are the side lengths in Raquel's scale drawing?
-1 in., 2.4 in., and 2.6 in.
-0.5 in., 1.2 in., and 1.3 in.
-8 in., 19.2 in., and 20.8 in.
-128 in., 307.2 in., and 332.8 in.
Answers
Step-by-step explanation:
I am not sure this is typed all correctly.
what I understand here :
there is an original triangle ABC in inches.
then, using the scale 1 cm = 4 inches a smaller triangle A'B'C' was created.
the side lengths of A'B'C' are 2cm, 4.8cm, 5.2cm.
due to the scale of 1 cm = 4 inches that means ABC has the side lengths 8 inches, 19.2 inches, 20.8 inches.
and now, another scaled triangle A"B"C" is drawn in inches based on ABC with a scan factor of 1/16 (is that correct ?).
that means that all side lengths are divided by 16 for the resulting triangle.
8 inches /16 = 0.5 inches
19.2 inches / 16 = 1.2 inches
20.8 inches / 16 = 1.3 inches
so, the second answer option is correct.
Is there a direct proportion in 4.5a = b + 12
Answers
pls give brainly am need points
3. George is at the craft show selling homemade ice cream. He must pay
$45 for a booth rental and costs him $3.50 to make each Ice cream
cone. He sells each ice cream cone for $5.00.
The inequality 45 + 3.50c < 5c represents the situation in which George
makes a profit
a). Will George make a profit if he sells 29 cones? Explain why or why not.
Answers
Answer:
no 146.5 > 145
Step-by-step explanation:
Three numbers have a ratio of 2: 3: 4. Find the largest number if their sum is 36.
Answers
Answer:
16
Step-by-step explanation:
2 + 3 + 4 = 9
36/9 = 4
2 · 4 = 8
3 · 4 = 12
4 · 4 = 16
Louise buys 4 pencils for £1.20. How much does one cost? :)
Answers
Answer:
O.3 pound
Step-by-step explanation:
1.20/4=0.3 pound
Answer:
1.20 divided 4 = 0.3
One pencil costs £0.3
Step-by-step explanation: