Answers
Given:
In triangle XYZ, J, K and L are midpoints of the sides.
JK = 38, XZ = 96, YX = 56.
To find:
KL, YZ and LZ.
Solution:
We have, J, K and L are midpoints of the sides of triangle XYZ.
JK = 38, XZ = 96, YX = 56.
Midsegment theorem: If a line segment between the midpoints of two sides of the triangle, then the length of the segment is half of the third side.
Using midsegment theorem, we get
[tex]KL=\dfrac{1}{2}YX[/tex]
[tex]KL=\dfrac{1}{2}(56)[/tex]
[tex]KL=28[/tex]
And,
[tex]JK=\dfrac{1}{2}YZ[/tex]
[tex]38=\dfrac{1}{2}YZ[/tex]
[tex]76=YZ[/tex]
L is the midpoint of the side YZ. So,
[tex]YL=LZ=\dfrac{1}{2}YZ[/tex]
[tex]YL=LZ=\dfrac{1}{2}(76)[/tex]
[tex]YL=LZ=38[/tex]
Therefore, the measures of KL, YZ and LZ are 28, 76 and 38 respectively.
Related Questions
g(x) = x^2+1
h(x) = x+5
find g(x) + h(x)
Answers
Answer:
26
Step-by-step explanation:
Jordan and Dajia are both completing homework on Deltamath. Jordan started yesterday and completed three problems and is solving the problems at a rate of 2 questions per minute. Dajia waited until today to get started and is solving the problems at a rate of 3 questions per minute. After how many minutes will they have solved the same number of questions?
Answers
what is the equation of a line that passes through the points (-2,-1) and (3,9)
Answers
Answer:5
Step-by-step explanation:
does anyone remember that one math game that had origami animals as characters. If so tell me!
Answers
Yeah I remember
Omg I loved it so much but it’s okay now
-5(4b+ 7) = distributive property
Answers
Answer:
-20b-35
Step-by-step explanation:
Question 6 (2 points)
Which of these is not one of the places where a Congressmen or Senator might get
an idea for a bill?
media
executive branch
constituents
interest groups
Answers
Answer:
Executive branch
Step-by-step explanation:
I think this is right and get point
When Pico writes articles for an adventure magazine, he gets paid by the word. For a 1,300-word article, he earned $780. How much would Pico earn for a 1,950-word article?
Answers
Answer:
Earning for 1950- word article = $1170
Step-by-step explanation:
Given that:
Amount paid for 1300 word article = $780
Ratio of words to money = 1300 : 780
Let,
x be the amount for 1950 words.
Ratio of words to money = 1950 : x
As the relationship is proportional
1300 : 780 :: 1950 : x
Product of mean = Product of extreme
780 * 1950 = 1300x
1300x = 1521000
Dividing both sides by 1300
[tex]\frac{1300x}[1300}=\frac{1521000}{1300}\\x=1170[/tex]
Hence,
Earning for 1950- word article = $1170
Which number is equal to 63?
Answers
Answer:
63 = 1 x 63, 3 x 21, or 7 x 9. Factors of 63: 1, 3, 7, 9, 21, 63. Prime factorization: 63 = 3 x 3 x 7, which can also be written 63 = 3² x 7.
please please help me i need thisssss.....
Answers
Answer:
I am pretty sure that it's the third one.
Please help.
Algebra.
Answers
Explanation: each ride costs $1.25 but they don’t give a number of rides therefore the number of rides is unknown and represents X. 64 was the total value of his money before the rides. With each ride you add -1.25 to 64, which gives diminishing returns for each ride.
Hope this helps !
What is the direct variation equation if f(x) varies directly with x and f(x)=−18 when x = 3?
A) f(x)=−15x
B) f(x)=−3x
C) f(x)=−16x
D) f(x)=−6x
Answers
Answer:
your answer is B becausewe can find k when given any point by dividing the y-coordinate by the x-coordinate. For example, if y varies directly as x, and y = 6 when x = 2, the constant of variation is k = - 3.
Answer:
The answer is C, I just took the quiz in CAVA :))
FYI: C is f(x)=−1/6x not f(x)=−16x
The distance between Maritza's house and her school is 12.5 kilometers. The bus stop is 11.75 kilometers from school. How many meters must she walk to the bus stop?
Answers
Answer: She must walk 750 meters to bus stop.
Step-by-step explanation:
Given: Distance between Maritza's house and her school (A)= 12.5 kilometers. (Total distance)
Distnance between Bustop and school (B)= 11.75 kilometers
Distance she need to walk to reach bus stop = A - B
= 12.5 - 11.75 kilometers
= 0.75 kilometers
= 0.75 x 1000 meters [ 1 kilometer = 1000 meters]
= 750 meters
Hence, She must walk 750 meters to bus stop.
Combine like terms and write in expanded form.
2x + (5 + 2) +5 (2)
Help it due by 5:00
Answers
Answer:
2x + 17
Step-by-step explanation:
5 * 2 = 10
5 + 2 = 7
2x + 17
ILL MARK U BRAINLIEST
Answers
Answer: Mario collected 4 baseball cards in the 1st 3 months
10 points
10. The graph shows the amount of fuel remaining in Laura's car's gas
tank as a function of the number of miles driven. What is the x-intercept?
(In other words, how many miles can she drive until her car runs out of
gas?)
O 320 miles
O 340 miles
360 miles
Answers
Answer:
The answer is C or the 3rd one.
Step-by-step explanation:
I WILL GIVE BRAINLIEST PLZZ HELP!!!!!!!!!
Answers
Answer:
D half a barrel an hour
Step-by-step explanation:
hope it helps
How do I find the answer to 5x+20Y-6=32
Answers
Answer:
Combine like terms if possible
Then solve
5x+20y-6=32
No liek terms available
5x+20y=38
Add 6 becuase its an equation
We can’t simplify anymore
So The answer is 5x+20y=38
If you want it in a form of x or y just letme know in the comments
How does the graph of f (x) = |x| compare with the graph of g (x) = -1/2 |x|?
Answers
Answer:
The graph of f(x) = |x| is a v-shape and doesn't cross over the x-axis.
The graph of g(x) = -1/2|x| is still a v-shape, but it's upside-down and a bit wider. This is because of the coefficient in front of the |x|. The negative sign flips the graph of |x| and the 1/2 makes the slope smaller, therefore the graph is less steep.
I've attached a picture of the two lines below!
A helicopter flies 240 miles in 2 hours 30 minutes.
Calculate the average speed, in mph, of the helicopter.
Answers
Answer:
96 mph is the answer
The average speed is 96 mph
What is Average speed?The average speed is the total distance traveled by the object in a particular time interval.
Given:
d= 240 miles
t = 2 hours 30 minutes.
t= 2.5 hours
Average speed= distance/ time
= 240/2.5
= 96 mph
Learn more about average speed here:
https://brainly.com/question/12322912
#SPJ2
if a student has 70 dollars and spends 1/5
Answers
Answer:
then he would have $56 dollars left
Answer:
56
Step-by-step explanation:
70*1/5
Is the same as:
70/5
Which equals:
14
Subtract from the total:
70-14=56
I NEED HELP ASAPPP
Solve x
X-1/2=1/10
Answers
Answer:
3/5 (Already there but I wanted to put an explanation)
Step-by-step explanation:
first you want to change the 1/2 to work better with the 1/10. The way you can do is change the 1/2 to be 5/10 by multiplying both sides of the fraction by 5 so that it is out of 10 rather than out of 2. you then add 5/10 to 1/10 to get x=6/10. since 6/10 can be simplified by 2, you divide both sides of the fraction by 2 to get 3/5=x
Simplify the expression -6w + (-8) + 1 + (-7w)
Answers
Answer:
The expression in simplified form is -13w - 7
Step-by-step explanation:
Given expression is;
-6w + (-8) + 1 + (-7w)
Rearranging the expression and combining alike terms;
-6w + (-7w) + (-8) + 1
-6w - 7w -8 + 1
-13w - 7
The expression in simplified form is -13w - 7
Hence,
The expression in simplified form is -13w - 7
Helen's Hamburger Palace has 300 tables. On a typical Monday night,
only 1/10 of the tables are reserved. How many tables are reserved on a
typical Monday night?
Answers
Answer:
30
Step-by-step explanation:
solve for x??
please help me with this....
Answers
Answer:
C. 5
Step-by-step explanation:
a triangle has 180 degrees as shown 1 angle has 88 degrees and the other 2 angles are equal basically divide 92 by 2 and you would get 46 then do that reverse thingy subtract the 1 and get 45 the divide 45 by 9 and get 5
Its C.
Answer:
Option C. 5 is your answer hope it helps you
What is the range of y = -x2 – 2x + 5?
Answers
Answer:
A) y ≤ 6
Step-by-step explanation:
if you were to graph this equation you could see the maximum point is at (-1, 6) which means that y-values can be 6 or less
Mrs.benson has graded 46 math asssiments but has 80% of the asssiments left to grade .
Answers
Answer:
How many assignments are left to grade: 230 assignments
Step-by-step explanation:
Answer:
184
Step-by-step explanation:
If 46 is 20% of all the math assignments, and theres 80% left which is equal to 4, 46 x 4 is 184 (does that make sense?)
Mrs. Barker bought some books at a book sale, including 4 paperback books. 20% of all the books she bought were paperback. How many books did Mrs. Barker buy in all?
Answers
Answer:
20
Step-by-step explanation:
Number of paperback books = 4
Percentage of total books that were paperbacks = 20%
Let total number of books = x
Hence,
20% of total books = paperback books
20% of x = 4
0.2 * x = 4
0.2x = 4
0.2x / 0.2 = 4 / 0.2
x = 20
Total number of books = 20
6x+3y=18, 8x+4y=22*
No Solutions
one Solution
Infinite Solutions
Answers
Answer:
No solution
Step-by-step explanation:
1) 6x+3y=18 X4
2) 8x+4y=22 X3
Multiply first by 4 and second by 3
24x+12y=72
24+12y=66
What is the solution to the linear equation? d – 10 – 2d + 7 = 8 + d – 10 – 3d
Answers
Answer:
d = 0.33
Step-by-step explanation:
First off, you want to get like terms next to each other. We'll move the numbers with variables on one side and normal numbers on the other. Since we're changing the sides of the equal sign they're on, this also changes whether their positive or negative.
d - d - 2d + 3d = 10 -7 + 8 - 10
Now that they're together, we can add or subtract them. The variables without numbers can be ones for this equation.
3d = 1
Now we divide 1 by 3 to find what d equals.
3d/3 = 1/3
d = 0.33
simplify (a + b)2
Answer Options:
a+b
ab
a2 + b2
Answers
Answer:
2a+2b
Step-by-step explanation:
a times by 2 is 2a
b times by 2 is 2b
