Answers
Answer:
PJ = 41.34
Step-by-step explanation:
P is incenter, three angles bisector meet
∠MJP ≅ ∠OJP
PM = PN = PO = 22 (radius: property of incenter)
∠JPM = 90 - ∠MJP = 90 - OJP = ∠JPO
ΔJPM ≅ ΔJPO (ASA) or (SAS)
LM = JO
2x + 3 = 5x - 45
3x = 48
x = 16
JM = 35
PJ = √35²+22² = √1709 = 41.34
The value of PJ in triangle KJL is 41.32 units.
What is incenter?The point formed at the intersection of the three angle bisectors of a triangle; also the centre of the incircle.
Given that, P is incenter of the triangle KJL,
Considering the triangles ΔMJP and ΔOJP
PM = PO (property of incenter)
∠ JMP ≅ ∠ JOP
JP is common segment.
ΔJPM ≅ ΔJPO (by SAS rule)
JM = JO (CPCTC)
2x + 3 = 5x - 45
3x = 48
x = 16
JM = 35
Using the Pythagoras theorem,
PJ² = PM²+JM²
PJ = √35²+22² = √1709 = 41.34
Hence, The value of PJ in triangle KJL is 41.32 units.
For more references on incenter, click;
https://brainly.com/question/29480777
#SPJ5
Related Questions
for brainiest:):):):):):):)
Answers
6. 6.28
7. 21.98
8. 94.2
PLEASE HELP ME WITH THIS I WILL GIVE BRAINLIEST
Answers
Answer:
12, 24, and 60
According to the scatter plot, how many miles from home will the family be in three hours?
Distance from Start
(Miles)
A.50. B.75. C.100. D.125.
Answers
Answer:
C. 100
Step-by-step explanation:
Find the measure of each angle indicated.
23°
128°
Answers
Find the acute angle in the first quadrant used as a reference for
23, 128, 337, 128
Use the distributive property to write an expression that is equivalent to 10(10x - 4).
Answers
Answer:
100x-40
Step-by-step explanation:
10*10x and 10* -4
Harpo, Groucho, Chico, Zeppo, Gummo, Karl, and Skid have won three tickets to the opera. They will randomly choose three people from their group to attend the opera. How many outcomes are possible?
Answers
Answer:
35
Step-by-step explanation:
This is a combination problem therefore we need to use the combination formula using factorials, plug in the values for n and r which would be 7 since there are 7 individuals in the group and 3 because we are making outcomes of 3.
C(n,r)=C(7,3)
=7!(3!(7−3)!)
=7!3!×4!
= 35
Finally, we can see that the total number of possible outcomes is 35
7(x-2)<2x+3 as a improper fraction
Answers
Answer:
-23/3
Step-by-step explanation:
sorry if i am wrong
i give brainliest pls help meee.
Answers
A theme park want to know which new ride option is the most appealing to customers. Which sampling method produces an unbiased representative sample.
A Survey 100 randomly selected parents in a theme park.
B Survey 30 customers to enter the theme park
C Survey the first 80 teenagers to enter the theme park
D Survey the first 250 customers in the line
Answers
Answer:
i would chose a or b
Step-by-step explanation:
you want to get the one person that have the most valubale commet so pick random coustimers i wouldnt pick d becuase you are probably going to get the same answer
Answer:
survey 100 randomly selected parents in a theme park
Step-by-step explanation:
random selection.It is considered a fair way to select a sample from a larger population. (since every member of the population has an equal chance of getting selected).
Chloe makes beaded keychains to sell at local craft fairs. To make k keychains, she uses 15k beads. On Saturday, Chloe made 50 beaded keychains. How many beads did Chloe use to make the keychains?
Answers
Answer:
750 beads
Step-by-step explanation: you multiply 15,000 by 50, then removing the 3 extra zeros
Answer:
750
Step-by-step explanation:
Samantha earns $8 p;er hour as a cashier. Write an equation that shows her earnings (E) after 'h' hours
Answers
Answer:
E=8h
Step-by-step explanation:
Becuase the earings equal the $8 times the amount of hours she worked.
If the diagonals of a quadrilateral are congruent, is the quadrilateral always a rectangle?
Answers
Answer:
Yes
Step-by-step explanation:
The only quadrilaterals with congruent diagonals are squares and rectangles and squares are technically rectangles so the answer is yes.
If the diagonals of a quadrilateral are congruent. Then the quadrilateral is always a rectangle which is false.
What is a quadrilateral?The quadrilateral has four sides and four angles. The sum of internal angles is 360 degrees.
It is a polygon with four sides. The total interior angle is 360 degrees. A rectangle's opposite sides are parallel and equal, and each angle is 90 degrees. Its diagonals are all the same length and intersect in the center.
If the diagonals of a quadrilateral are congruent. Then the quadrilateral can be a square or a rectangle.
If the diagonals of a quadrilateral are congruent. Then the quadrilateral is always a rectangle which is false.
More about the quadrilateral link is given below.
https://brainly.com/question/13805601
#SPJ5
I’ll give points but please help me on this and if you don’t know the answer please don’t answer the question thank you
Answers
The volume of the hemisphere is equal to V = 56.5486678 ft3 or 18pi
And the cone volume is
V = 47.1238898 ft3 or 15pi
The total volume will be 103.6725576ft3
Or 33pi ft3
Ariana made cookies. She used 3 7/8 cups of flour and 2 1/8 cups of sugar. How much more flour than sugar did Ariana use?
Answers
Answer:
1 6/8 cups of flour
Step-by-step explanation:
Just subtract 2 1/8 from 3 7/8
Which is a better estimate for the volume of a conditioner bottle?
1 quart
or
1 Fluid Ounce
Answers
Answer:
1 Fluid Ounce
Step-by-step explanation:
Lucas is making 12 jumbo muffins to sell at his class bake sale . He has 2 bowls full of batter what fraction of a bowl of batter should Lucas put in each muffin cup ?
Answers
Answer:
1/6 of a bowl of batter
Step-by-step explanation:
Find out how much muffins is needed for 1 bowl.
2 bowls = 12 muffins
1 bowl = 12 ÷ 2 = 6 muffins
Since 1 bowl can fill 6 muffins, it's 1/6
Every time Vince orders Chinese food, he gets egg drop soup. So, he decides to learn how to make it himself. His recipe calls for 1.5 liters of broth, but he can only find 500-milliliter cartons at the store. How many cartons should he buy?
Answers
Answer: 3
Step-by-step explanation:
Vince will have to buy three cartons of 500 ml each.
What is expression in mathematics?An expression in mathematics is a combination of terms both constants and variables.
Given is that every time Vince orders Chinese food, he gets egg drop soup. So, he decides to learn how to make it himself. His recipe calls for 1.5 liters of broth, but he can only find 500 milliliter cartons at the store.
We know that -
1 Liter = 1000 milliliters
1.5 liter = 1500 liters
Now -
1 carton 500 ml.
Then, 1 ml will be in (1/500) carton.
So, 1500 ml will be in (1/500 x 1500) = 3 cartons
Therefore, Vince will have to buy three cartons of 500 ml each.
To solve more questions on algebraic expressions, visit the link below -
https://brainly.com/question/27911936
#SPJ2
4x – 5.2y + 6y + 7.9x – 8x *
Answers
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\textsf{4x - 5.2y + 6y + 7.9x - 8x}[/tex]
[tex]\huge\text{COMBINE your LIKE TERMS}[/tex]
[tex]\large\textsf{(4x + 7.9x - 8x) + (-5.2y + 6y)}[/tex]
[tex]\large\textsf{4x + 7.9x - 8x =}[/tex]
[tex]\large\textsf{4x + 7.9x = 11.9x}[/tex]
[tex]\large\textsf{11.9x - 8x = 3.9x}[/tex]
[tex]\large\textsf{4x + 7.9x - 8x = 3.9x}[/tex]
[tex]\large\textsf{(3.9x) + (-5.2y + 6y)}[/tex]
[tex]\large\textsf{-5.2y + 6y = 0.8y}[/tex]
[tex]\boxed{\boxed{\large\textsf{Answer: \huge \bf3.9x + 0.8y }}}\huge\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Answer:
3.9x+0.8y
Step-by-step explanation:
4x−5.2y+6y+7.9x−8x
Combine −5.2y and 6y to get 0.8y.
4x+0.8y+7.9x−8x
Combine 4x and 7.9x to get 11.9x.
11.9x+0.8y−8x
Combine 11.9x and −8x to get 3.9x.
3.9x+0.8y
It can also be converted to fraction form:
[tex]\frac{4y}{5}+\frac{39x}{10} = 3.9x+0.8y[/tex]
A table is sold hire purchase. The sales price consists of deposit of $306 and six monthly instalments of $60 each. How much does a customer pay for the table?
Answers
Answer: $666
Step-by-step explanation: 306+ 60(6)= 666
(12 + 31). Find the midpoint m of 21 (8 + 5i) and 22 Express your answer in rectangular form.
Answers
Luke wants to send 21 parcels by the Express service.
He does the calculation 20 x £15 = £300 to estimate the cost.
(b)
Explain why Luke's calculation shows the actual cost will be more than £300
Answers
Answer:
Because he has to send one more parcel than the estimation.
Step-by-step explanation:
HELP PLEASE 2 Based on past experience, a pencil factory owner believes that 3 out of every 150 pencils will be defective in some way. Using this information. What is the best prediction of the number of defective pencils in a shipment of 3.000 pencils?
Answers
The answer is 60. You’re welcome.
Which angle is supplementary to ∠1?
Answers
Helppppp i need help ASAP
Answers
Answer:
a) 10.10 a.m. , (b) 10.20 a.m. which is 10 minutes after sprints start , (c) The students work at 10.50 a.m. , (d) For 60 minutes from 10 a.m. to 11 a.m. which equals to 1 hour
A computer game was originally priced at $59.99. It was marked down 15%. What was the final price of the computer game?
Answers
Answer: $50.99
Step-by-step explanation:
Given
The computer game is Priced at [tex]\$59.99[/tex]
It is marked down by [tex]15\%[/tex]
Final price is
[tex]\Rightarrow 59.99-15\%\ \text{of}\ 59.99\\\Rightarrow 59.99(1-0.15)=59.99\times 0.85\\\Rightarrow \$50.99[/tex]
Plz helpppppppppppppp helpppppppppppppp
Answers
Answer:
(A).option is correct..54cm2
Pls help me and thank you!
Answers
HELP ill mark you brainlist
Answers
Answer:
-8 + 11n OR 11n - 8Step-by-step explanation:
an = 3 + (n-1)11
an = 3 + 11n - 11
an = -8 + 11n OR 11n - 8
Hope that helps!
Answer:
find the last SIMPLIFIED number
11 x 5 = 55
55 simplfiied = 27.5
Step-by-step explanation:
sorry if this is wrong. i tried my best trying to look for the answer
Checks can be used to:
make purchases
pay rent
pay bills
all of the above
Answers
Answer:
all of the above
Step-by-step explanation:
according to your question
What would be the first step in solving the equation 7/9x + 34 = 174?
Answers
Answer:
[tex] \frac{7}{9} x + 34 = 174 \\ => \frac{7x}{9} = 174 - 34 \\ = > \frac{7x}{9} = 140 \\ = > 7x = 140 \times 9 \\ = > 7x = 1260 \\ = > x = \frac{1260}{7} = 180 \\ { \huge{ \pink{x = 180}}}[/tex]
❤️❣️❤️