Answer:
See below.
Step-by-step explanation:
A perpendicular bisector of a segment is perpendicular to the segment and intersects the segment at its midpoint.
A. JL = KL True
B. Line s is perpendicular to JK True
C. Point L is the midpoint of JK True
D. Line s intersects JK at a 180° angle False
E. Line s is parallel to JK False
Consider quadrilateral EFGH.
Quadrilateral E F G H is shown. Sides F G and E H are parallel. Angles E and H are congruent. The length of E F is 4 n minus 4, the length of F G is 3 n + 3, and the length of G H is 2 n + 6.
What is the length of line segment GH?
5 units
7 units
16 units
24 units
Given:
In quadrilateral EFGH, [tex]FG\parallel EH,\angleE\cong \angle H,EF=4n-4,FG=3n+3, GH=2n+6[/tex]
To find:
The length of segment GH.
Solution:
Draw a figure according to the given information as shown below.
In quadrilateral EFGH, [tex]FG\parallel EH,\angleE\cong \angle H[/tex], it means the quadrilateral EFGH is an isosceles quadrilateral because base angles are equal.
Now, quadrilateral EFGH is an isosceles quadrilateral, so the sides EF and GH are equal.
[tex]EF=GH[/tex]
[tex]4n-4=2n+6[/tex]
[tex]4n-2n=4+6[/tex]
[tex]2n=10[/tex]
Divide both sides by 2.
[tex]n=\dfrac{10}{2}[/tex]
[tex]n=5[/tex]
Now,
[tex]GH=2n+6[/tex]
[tex]GH=2(5)+6[/tex]
[tex]GH=10+6[/tex]
[tex]GH=16[/tex]
Therefore, the correct option is C.
Answer:
the answer is C
Step-by-step explanation:
:]
In the picture shown below, what proportion would NOT give the correct value of x?
Answer: (c)
Step-by-step explanation:
In the given figure, two triangles are similar namely [tex]\triangle ABC[/tex] and [tex]\triangle ADB[/tex]
For similar triangles, the ratio of the corresponding sides are equal.
For option (a), Hypotenuse to Perpendicular ratio is given, that is correct
Similarly for option (b), Perpendicular to hypotenuse ratio is given
Both option (a) and (b) gives the same value of [tex]x[/tex] that is,
[tex]\Rightarrow x=\sqrt{81\times 45}\\\Rightarrow x=60.37[/tex]
Option (c) does not give the correct value of [tex]x[/tex]
Answer:
C
Step-by-step explanation:
In the given figure, two triangles are similar namely and
For similar triangles, the ratio of the corresponding sides are equal.
For option (a), Hypotenuse to Perpendicular ratio is given, that is correct
Similarly for option (b), Perpendicular to hypotenuse ratio is given
Both option (a) and (b) gives the same value of that is,
Option (c) does not give the correct value of
15< 4 + x
O A. x>11
O B. X> 19
O C. x< 19
O D. x< 11
Answer:
A. x>11
Step-by-step explanation:
15 < 4 + x
take 4 to the LHS this becomes 15 - 4 < x
•°• 11 < x
< means less than
Therefore x is greater than 11
x > 11
Analyzing Speed Yohan Blake ran the 100-meter race in the 2012 Olympics in 9.75 seconds. Compare the speeds if he ran the 200-meter race in 19.5 seconds. round to the nearest hundredth.
Answer:
The two speeds are equal
Step-by-step explanation:
The speed is the distance divided by the time
100 meters / 9.75 seconds = 10.25641026 meters per second
Rounded to the nearest hundredth 10.26 meters per second
200 meters / 19.5 seconds = 10.25641026 meters per second
Rounded to the nearest hundredth 10.26 meters per second
The two speeds are equal
[tex]\sf{\bold{\blue{\underline{\underline{Given}}}}}[/tex]
⠀Analyzing Speed Yohan Blake ran the 100-meter race in the 2012 Olympics in 9.75 seconds.⠀⠀⠀he ran the 200-meter race in 19.5 seconds. round to the nearest hundredth.[tex]\sf{\bold{\red{\underline{\underline{To\:Find}}}}}[/tex]
Compare the speeds⠀⠀⠀⠀[tex]\sf{\bold{\purple{\underline{\underline{Solution}}}}}[/tex]
⠀
we know that,
[tex]\boxed{\sf{speed=\dfrac{distance}{time}} }[/tex]
In the 100-meter race in the 2012 Olympics he takes 9.75 sec
speed=100/9.75speed =10.2564...speed=10.26BUTTT,
he ran the 200-meter race in 19.5 seconds.
speed=200/19.5speed=10.2564..speed=10.26According to the question,
we have to compare the speed
100-meter race in the 2012 Olympics he takes 9.75 sec=200-meter race in 19.5 seconds.10.26=10.26the speeds are equal⠀⠀⠀
[tex]\sf{\bold{\green{\underline{\underline{Answer}}}}}[/tex]
The two speeds are equal of Yohan Blake.
Which represents f(x)=g
Let x=−1−5i and y=5−i. Find x+y
Answer:
[tex]4-6i[/tex]
Step-by-step explanation:
Substitute the value of the variable into the expression and simplify.
Nachelle went to the store to buy some almonds. The price per pound of the almonds is $6.50 per pound and she has a coupon for $4.75 off the final amount. With the coupon, how much would Nachelle have to pay to buy 5 pounds of almonds? Also, write an expression for the cost to buy pp pounds of almonds, assuming at least one pound is purchased.
Step-by-step explanation:
hope this will help you mark me as brinalist friend please
The amount paid for the 5 pound of almond by Nachelle is $27.75.
What is meant by the term equation?In its most basic form, an equation is a numerical declaration that demonstrates that two formulas are equal. 3x + 25 = 14, for example, is an equation whereby a 3x + 25 and 14 are 2 expressions separated by a 'equal' sign.Let 'p' be the number of pounds of almonds purchased by Nachelle.
Let 'c' be the total cost paid.
The cost of per pound of the almonds is $6.50 per pound.
The amount of the coupon is $4.75.
Thus, the equation will be ;
c = 6.50p - 4.75 ......equation.
For number of pounds p = 5.
c = 6.50×5 - 4.75
c = $27.75
Thus, the amount paid for the 5 pound of almond by Nachelle is $27.75.
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A group of four golfers paid $210 to play a round of golf. Of the golfers, one is a member of the club and three are nonmembers. Another group of golfers consists of two members and one nonmember. They paid a total of $120. What is the cost for a member to play a round of golf, and what is the cost for a nonmember?
How do I find question number 43
Answer:
[tex]8)79 + .3y |1| 5131x - 2884 \frac{ {8 - { { - 44 - {516}^{ |?| } }^{?} }^{?} }^{2} }{?} 5 - {1 {y {1 {40091 - \times \frac{?}{?} }^{?} }^{2} }^{2} }^{2} 444 = .3 = 547 - 274[/tex]
Circle W has a radius of 20 in and right central angle, ZVWX. Find the length of vx. Leave your answer in terms of pi.
5
10
15
20
Answer:
The length of the arc is 10 pi
Step-by-step explanation:
Mathematically, the length of an arc is calculated as;
theta/360 * 2 * pi * r
theta represents the central angle subtended by the arc which is a right angle according to the question (a right angle is 90 degrees)
r is the circle radius which is 20 inches
so we have the length of the arc as;
90/360 * 2 * pi * 20 = 40 pi/4 = 10 pi
A matrix derived from a system of linear equations (each written in standard form with the constant term on the right) is the ---Select--- matrix of the system.
Answer:
augmented
Step-by-step explanation:
In the field of linear algebra, the augmented matrix is defined as the matrix that is [tex]\text{obtained by appending}[/tex] the given columns of any two given matrices, that is usually for the [tex]\text{purpose of performing the same elementary row operations on each of the given matrices. }[/tex]
Here, each row forms an equation having a constant and the column have the coefficients for the single variable.
Thus an augmented matrix is obtained from a system of linear equation in matrix.
Identify the coefficient, variable, and exponent of the monomial: 4y3
Answer:
The variable is y since it is a letter and is meant to hold value
The coefficient is 4 since in this equation 4 is multiplied by y
The exponent is 3 since it is after the variable
Hope This Helps!!!
Answer:
The coefficient is 4
The base and variable is y
The exponent is 3
Step-by-step explanation:
4y^3
The coefficient is 4
The base and variable is y
The exponent is 3
Simplify:
a.5³×5‐²×5⁴.
b.a⁴×a‐²×x³.
c.(x⁵)²×(y⁵)³
__________
(x³)³×(y²)²
Answer:
a. 125 * 0.04 * 625 = 5 * 625 = 3125
b. a^2 * x^3
c. x^10 * x^ y^15
Last one: x^9 * y^4
Step-by-step explanation:
Because yes.
Pls answer it with explanation
Answer:
x=24 y=131
Step-by-step explanation:
it is right answer
Answer:
x = 24, y = 131
Step-by-step explanation:
The sum of the 3 angles in Δ ABC = 180°
Sum the 3 angles and equate to 180
72 + 35 + 25 + 2x = 180 , that is
2x + 132 = 180 ( subtract 132 from both sides )
2x = 48 ( divide both sides by 2 )
x = 48
--------------------------------------------
Similarly in the lower triangle
25 + x + y = 180
25 + 24 + y = 180
49 + y = 180 ( subtract 49 from both sides )
y = 131
does anyone know the answer to this question?
Answer:
(1,2)
Step-by-step explanation:
1. plug x into the equation:
[tex]2<\frac{2}{3}(1)+2[/tex]
2. simplify:
[tex]2<\frac{2}{3}+2[/tex]
[tex]2<\frac{2}{3}+\frac{6}{3}[/tex]
[tex]2<\frac{8}{3}[/tex]
since 8/3 is greather than 2, (1,2) is a solution
John is 20 years old than Steve. In 10 years, Steve's age will be half that of John's. What is the Steve age??
Answer:Steve age will be 15 y.o
Step-by-step explanation:
Is the graph increasing, decreasing, or constant
the school is located 0.8 miles west of willows house the park is 1.5 miles north what is the distance between willows house and the park
Answer:
0.7
Step-by-step explanation:
1.5 - 0.8 = 0.7 :)) hope u get it right!!!
The distance between the school and the park will be 0.7 miles.
What is the distance?Distance is defined as the length between the two points just like in the question it is the length between the school and the park.
Given that:-
The school is located 0.8 miles west of willows house The park is 1.5 miles northThe distance will be calculated as:-
Distance = 1.5 - 0.8 = 0.7 miles
Therefore the distance between the school and the park will be 0.7 miles
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Below are the ages of the employees of a small gift shop in town. Describe the data using the five number summary.
17, 18, 19, 40, 42, 16, 33, 17, 33, 44, 19, 40, 37, 26, 25
helppppp pleaseeeee
median is 26
maximum is 44
minimum is 17
third quartile is 40
first quartile is 18
should be correct but I'm not sure
The median is 26, the maximum value is 44. The minimum value is 17. The third quartile is 40 and first quartile is 18.
What are quartiles?
When we get data that can be compared relatively with each other, for finding quartiles, we arrange them in ascending or descending order.
Quartiles are then selected as 3 points such that they create four groups in the data, each group approximately possessing 25% of the data.
The given data set is;
17, 18, 19, 40, 42, 16, 33, 17, 33, 44, 19, 40, 37, 26, 25
The data using the five-number summary.
The median is 26
The maximum value is 44
The minimum value is 17
The third quartile is 40
The first quartile is 18
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Which statement is true? (Algebra ll) *URGENT*
Answer:
3rd statement is correct
Solve for x. Round to the nearest tenth, if necessary.
Students were asked to choose their favorite season. If 2/9 of the students
chose spring and 5/9 chose summer, what fraction chose either spring or
summer?
Answer:
7/9
Step-by-step explanation:
2/9+5/9=7/9
Read the text and answer the following questions:
1. Kolman shop was once a very rich town
True
False
2. The UFO buildings are a popular tourist attraction in Taipei.
True
False
3. Fordlandia became a problem because there was nowhere for the factory workers to live.
True
False
4. The Ford family sold Fordlandia for $20 million.
True
False
Answer:
1. False
2. True
3. True
4. False
Step-by-step explanation:
[tex]{hope it helps}}[/tex]
What is 4 and 2/3 written as a radical?
Answer:
14/3
Step-by-step explanation:
4 and 2/3 = 4 2/3 = 4 + 2/3 = 4/1 + 2/3 = 12/3 + 2/3 = 14/3
In the graph increasing, decreasing, or constant?
Answer:
Step-by-step explanation:
slope>0 so graph is increasing.
Find the roots of the equation x^2 + 16 = 0.
Answer:
+4 and -4
Step-by-step explanation:
x² + 16=0
x=-√16
x=-4 or +4
After 3 points have been added to every score in a sample, the mean is found to be M 5 83 and the standard deviation is s 5 8. What were the values for the mean and standard deviation for the original sample
Answer:
Hence the value for the mean is 80 and the standard deviation for the original sample is 8.
Step-by-step explanation:
Mean = 83-3 = 80.
Here the standard deviation didn't change = 8.
Evaluate (3n+2) -10 when n=3 !!!!
Hello!
(3n + 2) - 10 =
= (3 × 3 + 2) - 10 =
= (9 + 2) - 10 =
= 11 - 10 =
= 1
Good luck! :)
[tex]\displaystyle\bf (3n+2) -10 \ if \ n=3\Longrightarrow 3\cdot3+2-10=11-10=\boxed{1}[/tex]
Which equation in slope-intercept form represents a line that passes through the point (5,−1) and is parallel to the line y=2x-7?
Answer:
y = 2x - 11
Step-by-step explanation:
y = 2x + b
-1 = 2(5) + b
-1 = 10 + b
-11 = b
In the diagram, what is m NSR?
RU is a line which needs to equal 180 degrees. This means angle VSR + VSU needs to equal 180.
VSU = 100
VSR = 180 - 100 = 80
Answer: VSR = 80
Answer:
∠ VSR = 80°
Step-by-step explanation:
∠ VSR and ∠ VSU are adjacent angles and sum to 180° , then
∠ VSR + 100° = 180° ( subtract 100° from both sides )
∠ VSR = 80°
