Answers
The value of x in the diagram is 7 (D) because 2 * 7 = 14 and 7 * 7 = 49.
The value of x in the given diagram will be 7.
What are similar triangles?Similar triangle are those which have two pairs of interior corresponding angles are equal.
We have,
Two triangles as shown in the given figure,
Now,
Both the given triangles have 90° corresponding angles and also the opposite angle of 90° of both triangles is equal.
So,
Using triangle similarity rule,
i.e.
Sides are in equal proportion,
i.e.
[tex]\frac{49}{x} =\frac{14}{2}[/tex]
⇒
14x = 49 × 2
14x = 98
[tex]x=\frac{98}{14}[/tex]
x = 7
Hence, we can say that the value of x in the given diagram will be 7.
To know more about similar triangle click here
https://brainly.com/question/12460919
#SPJ2
Related Questions
Determine whether each number is a solution of the
given inequality.
6-n > 11
when n = -5
O YES (n = -5 is a solution of the inequality)
O NO (n = -5 is not a solution of the inequality)
Answers
Answer:
NO (n = -5 is not a solution to the inequality).
Step-by-step explanation:
Given
[tex]6-n-6>11-6[/tex]
Subtract 6 from both sides
[tex]6-n-6>11-6[/tex]
Simplify
[tex]-n>5[/tex]
Multiply both sides by -1 (reverse the inequality)
[tex]\left(-n\right)\left(-1\right)<5\left(-1\right)[/tex]
Simplify
[tex]n<-5[/tex]
Therefore, n = -5 is NOT a solution of the inequality because 'n' must be less than -5.
Hence,
NO (n = -5 is not a solution to the inequality).
Verification:
Given
[tex]6-n-6>11-6[/tex]
substitute n = -5
6 - (-5) - 6 > 5
6+5-6 > 5
5 > 5
FALSE
Solve the proportion 20/3 = ?/6.
Choose the correct option.
A) 10
B) 23
C) 40
D) 120
Answers
Answer:
c.40
Step-by-step explanation:
the answer is 40 your welcome
Each of the 20 employees in an office took a 60 point test on office safety. The test scores are listed in the table below. Which histogram best represents the data in the table
Answers
Answer:
There is no table
Step-by-step explanation:
But to construct a histogram, we use frequence on the y-axis and class boundaries on the x-axis
Ethan is planning flowers in boxes East flower box can hold 4 Ethan wants to plan 38 red flowers and 33 white flowers in the flower boxes what is the fewest number of flower boxes he would need to plant all the flowers
Answers
Answer:
18 flower boxes
Step-by-step explanation:
Given that:
Capacity of each flower box = 4
Number of flowers to plant :
Red = 38
White = 33
Total = (38 + 33) = 71 flowers
Fewest number of flower boxes needed to plant all flowers :
Total flowers to plant / capacity of each plant
71 / 4
= 17.75
= 18 boxes
What is the measure of an interior angle of a regular nonagon?
Answers
Solve the equation for y. 6y + 241 = 66
I need help finding Y for this Answer
Answers
Answer:
y= -29.16 (the 6 is repeated)
Step-by-step explanation:
6y+241=66
Subtract 241 on both sides
6y= -175
Divide by 6 on both sides
y= -29.16 (the 6 is repeated)
Which of the following is not a function?
a. (1,1),(2,2), (3,3), (4,4)
b. (2,3), (2,4), (3,3), (3,4)
c (2,4),(4,8).(10,12). (4,10)
d. (2,4), (3,4), (5,4), (6,4)
Answers
Number on the left: x-value
Number on the right: y-value
If there are 2 y-values for one x-value it is NOT considered a function.
For instance in the answer:
(2,3), (2,4), (3,3), (3,4)
You can clearly see that the x-values (2 & 3) repeat more than once; therefore, it is NOT a function.
On the other hand if you have 2 DIFFERENT x-values for the same y-value it IS A FUNCTION.
For ex D: (2,4), (3,4), (5,4), (6,4)
As you can see there are 4 DIFFERENT x-values with same y-value; therefore it is A FUNCTION
To make it easier:
If x-values appear more than once = NOT A FUNCTION
If x-values appear only ONCE = FUNCTION
Remember: y-values are ALLOWED to repeat
I hope this helps. If you have any questions please let me know in the comments.
whats slope intercept form for 2x- 5y=10
Answers
Answer:
y=-2/5x-2
Step-by-step explanation:
First, you put x to the other side of the equation so you get y alone, getting the equation of -5y=-2x+10. In order to just have y on one side, you need to divide the whole equation by -5. This leads to the final answer of y=-2/5x-2.
2.50+0.50=21 help meeeeeeeeeee
Answers
Answer:
You are missing some of the equation my dude
Step-by-step explanation:
Which equation below does NOT represent a function?
A
y = -4
B
y = x2 + 1
C
x2 + y2 = 6
D
y = 2x + 5
Answers
Answer:
C
Step-by-step explanation:
x2+y2=9 is an example of a non function because there is at least one x value with two or more y values .
The equation below does NOT represent a function is D x² + y² = 6
What is a function?Function is a type of relation, or rule, that maps one input to specific single output.
In mathematics, a function is an expression, rule, or law that describes the relationship between one variable (the independent variable) and another variable (the dependent variable) .
x² + y² = 9 is an example of a non function because there is at least one x value with two or more y values .
Now, y = 4
y = x - 4
y = x^2 - 4
Also, x² + y² = 6
This is not a function as there should be minimum one x value with two or more y values. this equation does not meet the criteria so this represent non-function.
Learn more about function here:
https://brainly.com/question/2253924
#SPJ6
Two people jog at the speed of 6 km/hr (Person 1) and 4 km/hr (Person 2). What is
the distance covered by each one of them when they run a total of 2 hours?
Answers
Answer:
Person 1 run a total of 12 km. Person 2 run a total of 8 km.
Step-by-step explanation:
Person 1 = 6 km/hr x 2
6 x 2= 12 km
Person 2 = 4 km/hr x 2
4 x 2= 8 km
i need help with this one
Answers
Answer:
Domain → [-5, 11]
Step-by-step explanation:
Domain of a graph or function is defined by the x-values (Input values).
From the graph attached,
Since, the graph starts from x = -5 and ends at x = 11,
(Shown as the dark points)
Therefore, domain of the graph will be represented by,
Domain → [-5, 11]
I'm so confused. Helpppp.
Answers
Will is w years old.
Ben is 3 years older.
1. Write an expression, in terms of w, for Ben's age.
Jan is twice as old as Ben.
2. Write an expression, in terms of w, for Jan's age.
If you add together the ages of Will, Ben and Jan the total comes to 41 years.
3. Form an equation and solve it to work out how old Will, Ben, and Jan are.
Answers
Answer:
Will is 8 years old, Ben is 11 years old, and Jan is 22 years old
Step-by-step explanation:
Since Ben is 3 years older, his age can be represented by w + 3
Jan is twice as old as Ben, so her age can be represented by 2(w + 3)
Set up an equation that adds up these expressions and sets it equal to 41:
(w) + (w + 3) + 2(w + 3) = 41
Simplify, add like terms, and solve for w:
(w) + (w + 3) + 2(w + 3) = 41
(w) + (w + 3) + (2w + 6) = 41
4w + 9 = 41
4w = 32
w = 8
So, Will is 8 years old.
Find Ben's age by adding 3 to this:
8 + 3
= 11
Find Jan's age by multiplying this by 2:
11(2)
= 22
So, Will is 8 years old, Ben is 11 years old, and Jan is 22 years old
The Mapleton Middle School band has 41 students. Six students play a percussion instrument. What percent of students in the band play a percussion instrument? Round your answer to the nearest tenth of a percent.
Answers
Answer:
the percentage of the students in the band that play a percussion instrument is 14.6%
Step-by-step explanation:
The computation of the percentage of the students in the band that play a percussion instrument is as followS;
= number of students played percussion instrument ÷ total number of students
= 6 students ÷ 41 students
= 14.6%
Hence, the percentage of the students in the band that play a percussion instrument is 14.6%
The same is relevant
-7(8) =
Spam:$:$:$:!:!;!;!,!,!,,!!,,!,!,!,!,!,!
Answers
Answer:
-56
Step-by-step explanation:
-7 x 8= -56
Which is better deal and why:) help ASAP plz!?
Answers
Answer:
$36.00 is better because you get 54 apples
Step-by-step explanation:
36÷9= 4*12=48
Please help!
Write the sum, and then write an equivalent expression by collecting like terms and removing parentheses
b. 2x - 7 and the opposite of 2x
Answers
Step-by-step explanation:
We need to write the sum of 2x - 7 and the opposite of 2x
Opposite of 2x is (-2x)
Sum means to add the number :
2x-7 + (-2x)
Remove parentheses,
2x-7 - 2x
Taking like terms together,
2x-2x-7= 0-7
= -7
Hence, the answer is -7.
19) Find the acros F(x) = x4 + 8x? -
Answers
Answer:
F'(x)=4x3+16x
Step-by-step explanation:
What is the midpoint of the segment shown below?
10
(-1,5)
O A. (-3.3)
B. (-7,3)
. 10
10
(-6, -2)
O C. (-7, )
O D. (
-3)
10
SUBMIT
Answers
Answer: D. (-7/2,3/2)
Step-by-step explanation: (apx)
The midpoint of the segment shown below is option D. (-7/2, 3/2).
What are the Coordinates?Coordinates are the set of points in a geometrical plane or space, which is used to denote the exact point in the coordinate plane or space.
Given a line segment with the given coordinates for the end points.
Midpoint of a segment with end points (x, y) and (x', y') is,
Midpoint = ((x + x') / 2, (y + y') / 2)
Here the end points of the segment are (-6, -2) and (-1, 5).
Midpoint of the segment = ((-6 - 1) / 2, (-2 + 5) / 2)
= (-7/2, 3/2)
Hence the mid point of the segment is (-7/2, 3/2).
Learn more about Midpoint of Segments here :
https://brainly.com/question/4747771
#SPJ7
Tell whether the ordered pair (-4,-2) is a solution of the system of linear equations.
Y= 2x+6
Y= -3x-14
Answers
Can someone find the slopes of these two please?
Answers
Answer:
you put the points into the slope formula and solve : (y2-y1)/(x2-x1)
1. (4 -1) / (-2 -3)
3 / -5
2. (-1 -(-2)) / (5 - 0)
(-1 +2) / 5
1/ 5
Step-by-step explanation:
i hope this helped :)
Answer:
the first slope is 3/-5
the second one is 3/5
Step-by-step explanation:
Patricia built 11 models every 33 hours. At that rate, how long, in hours, will it take to build 5 models?
Answers
33 hours for 11 models divide that and it is 3 hours per model, 3x5=15
Complete the ratio. 78 chairs in 6 rows : ______ chairs in 1 row.
Answers
Answer:
13 chairs in one row
Step-by-step explanation:
i don't know how to explain bi have given you the answer already goodbye
NEED DONE BY 8 PLEASE HELP!!
Answers
Answer:
a. 8 y/s; divide 40(distance) by 5(time)
b. 1/8 2/16 3/24 4/32 5/40 6/48 7/56; multiply speed and time ex. 8×1=8; 8×2=16; 8×3=24 and so on
c. 80 yards; multiply time and distance 8×10
Solve the system of linear equations by substitution. 4x−2y=14 y=12x−1
Answers
Answer:
Step-by-step explanation:
16
will give brilintest if u answer correctly plz
Answers
Answer:
D. (3, 4, 5)
Step-by-step explanation:
[tex]5 = \sqrt{ {(3)}^{2} + {(4)}^{2} } \\ 5 = \sqrt{9 + 16} \\ 5 = \sqrt{25 } \\ 5 = 5[/tex]
Item 10
Of 140 seventh-grade students, 15% earn the Presidential Physical Fitness Award. How many students earn the award?
Answers
Answer:
21 Students
Step-by-step explanation:
140 x .15 = 21
Tell whether the expressions modeled below are equivalent. Explain how you know.
+
+
+
2(x-3)
2x-3
Answers
Answer:
they're not
Step-by-step explanation:
when you distribute the 2 into (x-3) you get 2x-6
and thats not equivalent to 2x-3
Water forms______
when it is cold.
Answers
Answer:
As a Solid
Step-by-step explanation:
Examples
river icesea icehail