Answers
Answer:
JK = 20 mStep-by-step explanation:
A line segment that connects two midpoints of the sides of a triangle is called a midsegment.A triangle midsegment is parallel to the third side of the triangle and is half of the length of the third side.Point J is midpoint of side HI as HJ = JI
Point K is midpoint of side GI as GK = KI
JK is midsegment as connects the midpoints of the sides
JK = 1/2HG as per property of midsegment
6x - 4 = 10x/26x - 4 = 5x6x - 5x = 4x = 4JK = 6x - 4 = 6*4 - 4 = 24 - 4 = 20 m
Answer:
[tex]JK=20m[/tex]
Step-by-step explanation:
It is given in the diagram that IJ = JH and IK = KG. Therefore, by the definition of a midpoint, we know that J and K are the midpoints of segments IH and IG respectively. Then, it can be concluded that JK is a midsegment by the definition of a midsegment. The Midsegment Theorem states that a midsegment connecting the midpoints of two sides of a triangle is parallel and half of the length of the third side. Thus, we know that JK is half of HG. Now, we can set up the following equation to solve for x:
[tex]JK = \frac{1}{2}HG\\6x-4=\frac{1}{2}(10x)[/tex]
Solving for x, we get:
[tex]6x-4=\frac{1}{2}(10x)\\6x-4=5x\\x-4=0\\x=4[/tex]
Therefore, [tex]JK = 6x - 4 = 6(4) - 4=24-4=20 m[/tex].
Hope this helps!
Related Questions
The highest point in the mountains of Seattle is 5,833 meters above sea level. The lowest point in the valley is 57 meters below sea level. What is the difference between the highest and lowest point?
Answers
Answer: 5890 meters
Step-by-step explanation:
Given: The highest point in the mountains of Seattle is 5,833 meters above sea level.
The lowest point in the valley is 57 meters below sea level.
in integers it is represented by -57 meters. [we use negative integer to represents "below"]
Difference between the highest and lowest point = Highest point - lowest point
= 5,833 meters -(-57) meters
= (5833 + 57) meters [a-(-b)= a+b]
= 5890 meters
Hence, the required difference = 5890 meters
write an equation in slope-intercepts form for the line that passes through (5, -4) and is perpendicular to the line described by 2x-10y=0
EXPLAIN what you did in each step to arrive at your answer plz
Answers
Answer: [tex]y=-5x+21[/tex]
Step-by-step explanation:
In slope intercept form : y=mx+c , m= slope , c= y-intercept.
Let [tex]L_1[/tex] be the line passing through (5, -4) and perpendicular to [tex]L_2: 2x-10y=0[/tex].
Rewrite [tex]L_2[/tex] in slope-intercept form
[tex]10y=2x\Rightarrow\ y=0.2x+0[/tex]
Here, Slope of [tex]L_2[/tex] = m = 0.2
Let n be slope of [tex]L_1[/tex] .
Then [tex]m\times n=-1[/tex] [Product of slopes of perpendicular lines is -1.]
[tex]\Rightarrow\ n=\dfrac{-1}{m}=\dfrac{-1}{0.2}\\\\\Rightarrow\ n=-5[/tex]
Equation of a line that passes through (a,b) and have slope 'm' is given by :-
[tex](y-b)=m(x-a)[/tex]
So, Equation of [tex]L_1[/tex] :
[tex](y-(-4))=-5(x-5)\\\\\Rightarrow\ (y+4)=-5x+25\\\\\Rightarrow\ y=-5x+21[/tex]
What is the x-value in the solution to this system of linear equations?
2x − y = 11
x + 3y = −5
−3
−1
2
4
Answers
Answer:
(7, -3)
Step-by-step explanation:
Solve the system of linear equations
2x − y = 11
x + 3y = −5
by elimination by addition and subtraction. Multiply the second equation by -2, obtaining
2x - y = 11
-2x - 6y = 10
------------------
-7y = 21, which yields y = -3
Knowing that y = -3, we can now find the value of x. Let's use the first equation for this purpose. Substituting -3 for y, we get:
2x - (-3) = 11, or
2x = 11 + 3, or 2x = 14. Thus, x = 7.
The solution is (7, -3).
Answer:
-3
Step-by-step explanation:
Va rog rezolvati cu operatii.
Answers
Answer:
can you translate that to english
Step-by-step explanation:
A line has a slope of -2 and a y-intercept of –3. Graph the line using the slope and y-intercept.
Which of the following points lie on this same line? Check all that apply.
(–2, 0)
(–1.5, 0)
(–6, 9)
(2, –3)
(3, –9)
(–4, 4)
Answers
Answer & Step-by-step explanation:
First write the line equation.
y=mx+b is the format where m=slope, b= y intercept
y=-2x-3
plug each x in to see if they match the point
y= -2(-2) -3 = -4 - 3 = -7 ; the point is (-2,0) so NO
y= -2(-1.5) -3= 3-3 = 0; point is (-1.5, 0) so YES it matches
y= -2(-6) -3 = 12-3 = 0; point matches so YES
y= -2(2) -3 = -4-3 = -7; point is (2, -3) so NO
y = -2(3) -3 = -6-3= -9; point matches so YES
y= -2(-4)-3 = 8-3 = 5; point is (-4, 4) so NO
(-1.5, 0) & (-6, 9) & (3, -9)
please give thanks by clicking the heart button :)
Answer:
the answers are B C E
Step-by-step explanation:
-1,5, 0
-6, 9
3, -9
Mary is planning her birthday party. She's inviting 7 friends and wants to buy party favors. The favors she wants come in packages of 3. How many packages will she need to buy in order to have enough party favors for all of her guests? *
Answers
Answer:
3 packages
Step-by-step explanation:
each package has 3
if she buys 1, she has 3 party favors
buys 2, has 6
buys 3, has 9
she can't buy 2 packages, then one friend doesn't get a party favor. so she will have to buy 3 packages, use 7, leave 2 extra.
please give thanks :)
Mary should buy 3 packages to have enough for all the friends.
What is words problem?A word problem is a few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.
Given that, Mary is planning her birthday party. She's inviting 7 friends and wants to buy party favours. The favours she wants to come in packages of 3.
Since, Each package has 3 favours
if she buys 1, she has 3 party favours
If buys 2, has 6
And, if buys 3, has 9
she can't buy 2 packages, then one friend doesn't get a party favour.
So, she will have to buy 3 packages, use 7, leave 2 extra.
Hence, she will need 3 packages.
For more references on word problems, click;
https://brainly.com/question/2610134
#SPJ6
Complete the table and then graph the function. y= – 4x+34
Answers
Answer:
That is what your graph should look like.
Step-by-step explanation:
what is the percentage
Answers
Answer:
a percentage is a part of 100 or a fraction over 100
A circular mirror measures 24 cm in diameter.
The cake is cut in half. Work out the perimeter of half of the mirror.
Answers
Answer:
The perimeter or circumference of a half mirror = 37.68 cm
Step-by-step explanation:
The diameter of circular measure = 24 cmWe know that the perimeter of a circular shape is called the 'circumference', with the formula
Circumference of a circle = C = 2πrWhen the mirror is cut into half, the diameter gets half as well.
Thus, the diameter of a half mirror = 24/2 = 12 cmWe know that radius = r = diameter / 2 = 12/2 = 6 cm
Thus, the perimeter of half of the mirror = C = 2πr
= 2(3.14)6
= 37.68 cm
Therefore, the perimeter or circumference of a half mirror = 37.68 cm
Mario walked at rate of 2/3 mile every 10 minutes. What was his walking rate in miles per hour?
Answers
Answer:
900 miles
Step-by-step explanation:
i took the quiz and got one-hundred percent
Evaluate the expression when b=4 and x= -5
-9x+b
Answers
-9(-5) + 4
45 + 4
49
marsha deposited $9,500 into a savings account 3 years ago. The simple interest rate is 5%. How much money did marsha earn in interest?
Answers
Answer:
$ 10, 925
Step-by-step explanation:
Interest = P( 1 + rt)
9500 { 1 + ( 0.05 x 3 ) }
= 9500 x 1.15
= $ 10,925
FIND X PLEASE i rllyyyy need help
Answers
Answer:
I think for 9. x is about 12
Sorry I am not sure for 11.
Step-by-step explanation:
create an expression that represents the complete factorization of p(a)=36a^3-16a
Answers
Can any kind soul help me
Answers
9514 1404 393
Answer:
18
Step-by-step explanation:
There are two areas where the circles P and C overlap. One is labeled "4" and the other is labeled "3x". The sum of these two values is the number of people who like Pop and Classical music, 13.
4 + 3x = 13
3x = 9 . . . . . subtract 4
x = 3 . . . . . . divide by 3
__
We are asked to find the number of people who like two types only. The three regions where only two circles overlap are labeled x, 3x, and 6. The answer to the question is the sum of these values.
like 2 types only: x +3x +6 = 4x +6 = 4(3) +6 = 18
18 students like two types of music only.
Adam has 10 blocks numbered 1 through 10. Which describes the probability of randomly choosing a block that has an even number?
Answers
Answer:
[tex]\dfrac{1}{2}[/tex]
Step-by-step explanation:
Given that:
10 number of blocks which have numbers from 1 through 10.
To find:
Probability of randomly choosing a block that has an even number.
Solution:
The given set of numbers is: {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
There are a total of 5 Even numbers are {2, 4, 6, 8, 10}.
And There are a total of 5 Odd number are {1, 3, 5, 7, 9}.
Formula for probability of an event E can be observed as:
[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}[/tex]
Here, Event E is randomly choosing an even number.
Number of favorable cases = 5
Total number of cases = 10
Therefore, the required probability is:
[tex]P(E) = \dfrac{5}{10}\\\Rightarrow P(E) = \dfrac{1}{2}[/tex]
Please answer I will give 20 points!!!
Answers
SOLVE FOR x:3+2(8x-1)=5+4(4x-6)
I'm giving you brainliest if your right
Answers
Answer:
you must have wrote it wrong there is no solution.
Step-by-step explanation:
3-2+16x= 5- 24+16x
1+16x= -19+16x
1 -1 + 16x = -19 - 1 + 16x
16x - 16x = - 20 + 16x - 16x
0 = -20
UNDEFINED
You estimate that a jar contains 98 marbles. The actual number of marbles is 90. Find a percent of error.
Answers
Answer:
It might be 8.8889% (Not completely sure)
8. 3x+10=14y
8х -7y= 34
Answers
Answer:
hey, are these two questions or one simultaneous question?
answer this and i will give brainliest
Answers
Answer:
2x = y
Step-by-step explanation:
As you can see in the table, y = 2x, this is proven by the fact that if you divide any value in the y of the table by 2 you will get its corresponding x value, proving that 2x = y is the function that is used to represent this table's value.
Answer:
2x = y
Step-by-step explanation:
If x = 10
2x = y
2 * 10 = y
20 = y
An equation of a line through (11, 12) which is perpendicular to the line y=3x+1 has slope: ____Blank____
and y -intercept at
____Blank____
Answers
Answer:
the slope is 3 and 1 and the y intercept is 1 and 1
Step-by-step explanation:
Graph each number on a number line write an inequality that is true for the numbers
Answers
Answer:
Step-by-step explanation:
Copies from other websites are no good on Brainly. We’re sure you can rephrase and use your own words
nient and Units
Question 8 of 10
Which unit of measure would be appropriate for the volume of a sphere with a
radius of 2 meters?
A. Centimeters
B. Square meters
C. Cubic meters
D. Meters
Answers
plz help i need help asap i will give brainlist
Answers
Ok so all’s you have to do here is get rid of x by dividing-56 by 4 and then divide 8y by 4. That leaves you with x - 2y = 14
Please can y'all help me asp
flying with the wind a plane went 396km/h. Flying into the wind the plane only went 350 km/h. Find the speed of the wind and the speed of the plane in still air.
Answers
Answer:
/
Step-by-step explanation:
PLS HELP AGAIN<3333nxjfjfjfittirj
Answers
YYYYYYYYYYYYYYEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEESSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSIIIIIIIIIIIIIIIIIIIIIIIIIRRRRRRRRRRRRRRRRRRRRRRRRR
Annabelle went to the grocery store and bought bottles of soda and bottles of juice.
Each bottle of soda has 30 grams of sugar and each bottle of juice has 1o grams of
sugar. Annabelle purchased 3 times as many bottles of juice as bottles of soda and
they all collectively contain 120 grams of sugar. Graphically solve a system of
equations in order to determine the number of bottles of soda purchased, T, and the
number of bottles of juice purchased, y.
Answers
Answer:
120 = 3y + t
Step-by-step explanation:
120 = 3y + t because you purchase 3 times as many y then t. Overall, your answer should end up as 120 by using an equation like this.
A 5-m ladder is resting against a wall. The
base of the ladder is 2 m along the ground
from the base of the wall. What angle does
the base of the ladder make with the ground?
Express your answer to the nearest tenth of a
degree.
Answers
Jordan is makinga garden
with an area of x^2 2+13x+
30 square feet and a length
of x +3 feet. Find an
expression for the width of
Jordan's garden
Answers
Answer:
( x + 10 )
Step-by-step explanation:
→ Divide x² + 13x + 30 by x + 3
( x + 3 ) ( x + 10 )