Note: Consider J is the intersection point of diagonals of quadrilateral FGHI.
Given:
[tex]GJ=11a[/tex]
[tex]IJ=a+10[/tex]
To find:
The value of a that makes quadrilateral FGHI a parallelogram.
Solution:
We know that the diagonals of a parallelogram bisect each other.
If FGHI is a parallelogram and J is the intersection point of diagonals, then
[tex]GJ=IJ[/tex]
[tex]11a=a+10[/tex]
[tex]11a-a=10[/tex]
[tex]10a=10[/tex]
Divide both sides by 10.
[tex]a=\dfrac{10}{10}[/tex]
[tex]a=1[/tex]
Therefore, the required value of a is 1 units.
You earn $22 an hour and work 40 hours this week. Your Federal Income Tax rate is 20% and Social Security Tax rate is 5%. What is your net pay?
Answer:
$660
Step-by-step explanation:
22*40 = 880 dollars. This is your gross pay.
Then, 880*0.2 (deduction of federal income tax rate) = 176 dollars
We also have to deduct the social security tax rate so, 880*0.05 = 44 dollars
Therefore, we totally have to deduct 176 + 44 dollars which is 220 dollars. 880-220 = 660.
Let me know if im wrong!
a) Divide rs 21000 between Nisha and nishan so that Nisha gets double than nishan.
Answer:
Hello There!!
Step-by-step explanation:
Let the nisha be x and nishan be y. Your statement is x=2y.
x+y=21000
2y+y=21000
3y=21000
y=21000/3
y=7000
The amount of money nishan got=7000
The amount of money nisha got=2y=7000 ×2=14000
hope this help,have a great day!!
~Pinky~
In circle P, BC=24 ft.
What is the length of arc AC?
Which of the following is the measure of ZCBA?
C
39
B
A
A. 39°
B. 45°
C. 90°
D. 78°
Answer:
78
Step-by-step explanation:
answer is in above photo
need help finding the value of f (7)
Answer:
f(7) = -4
Step-by-step explanation:
f(7) means f(x) when x = 7. The x is replaced with 7.
So we'll replace every x with 7 to go from x = 7 to 3 - x = 3 - 7 = -4
Put in another way:
f(x) = 3 - x
f(7) = 3 - 7
f(7) = -4
Pls help I need this
Answer:
what you need help in we see nothing
HELPPPPPPP!!!!! SOSOSOOSOOSSSS
Miss McGrew is making stools for her first graders to use during story time. To make the stools, she covers wooden cubes with carpet, 40 cm How much carpet does it take to cover each cube?
240 cm
Step-by-step explanation:
each side is 40 cm, a cube has 6 sides. 6×40= 240
3100 times 43 how much is this
Answer:
133,300
Step-by-step explanation:
3100 x 43 = 133,300
Answer: 133,300
Step-by-step explanation: 3100 x 43= 133300
Find f(2) if f(x) = 2x + 1.
!!PLEASE HELP 25 POINTS!! The graph of an absolute Value
Answer:
(-1, 8)
the value of a is 8
a/2-8=-4
I have no idea how to do this!!
Answer:
a = 8
Step-by-step explanation:
a ÷ 2 - 8 + 8 = - 4 + 8
a ÷ 2 = 4
a ÷ 2 × 2 = 4 × 2
a = 8
Answer:
a = 8
Step-by-step explanation:
Given
[tex]\frac{a}{2}[/tex] - 8 = - 4 ( add 8 to both sides )
[tex]\frac{a}{2}[/tex] = 4 ( multiply both sides by 2 to clear the fraction )
a = 8
URGENT PLS!!
consider the system: 5x+3y = 12 , x-7y=10
using elimination method, what is the value of 38y?
Answer:
5x+3y=12
x-7y=10
first you want to make the x the same to 5 since you want to make the x = 0 so you can cancel out the x to find y
5x+3y=12
5x-35y=10
_________
38y = -38
y = -1
to find the x value substitute to any equations it can be the 1st or 2nd
5x+3(-1)=12
x = 3
I DONT UNDERSTAND THIS I NEED HELP
Answer:
It is -4 :)
Step-by-step explanation:
I just did this lol
Figure ABCD was reflected across the x-axis to create figure A'B'C'D'.
On a coordinate plane, a quadrilateral has points A prime (2, negative 2), B prime (negative 8, 2), C prime (2, 6), and D prime (8, 2).
What are the coordinates of the pre-image of B'?
(2, –8)
(–8, –2)
(–2, 8)
(8, 2)
Answer:
i think it is b -8 -2
Step-by-step explanation:
Answer:
in picture
Step-by-step explanation:
please help me :(
I am in Great trouble:(
Answer: (I am not a maths moderator)
x=4
Step-by-step explanation:
Multiply the exponents
(2x-4)^12=(4^2)^6 (exponents multiply so)
(2x-4)^12=4^12
4^12 = 16777216
(2x-4)^12= 16777216
Take the 1/12 exponent for both sides
that will remove the ^12 exponent from the left side and will take the 12th root for the right.
2x-4=4
add 4 to both sides
2x=8
divide both sides by 2
x=4
The graphs of f(x) and g(x) are shown below.
o o
00
f(x)
4
2
5
21
2
-2 -1
-2
3
-4
g(x)
-6
-8
-12
-147
What are the solutions to the equation f(x) = g(x)?
in the similar triangle ABE and triangle CDE,AB=10cm,ED=4cm,CD=8cm find the length of BC
9514 1404 393
Answer:
BE = 5 cm
Step-by-step explanation:
Your problem statement asks for the length of BC. There is no segment BC. Points B and C are in different triangles.
The length of segment BE can be found from the proportion ...
BE/DE = AB/CD
BE = DE·AB/CD = (4 cm)(10/8)
BE = 5 cm
Find the volume of the prism.
2 m
Answer:
12 cubic meters
Step-by-step explanation:
AHHHHHHHHH PLEASE HELP T-T
I'LL MARK BRAINLIEST FOR THE BEST ANSWER!!
please can anyone help me out!!
Answer:
1.39 m
Step-by-step explanation:
sin 63 = x/13.5 (x = CD)
sin 52 = x/13.5 (x=AC)
take the difference between the two
Question 42: Which equation represents the line that passes through the points
(-1, -2) and (3, 10)? *
O y = 3x + 1
O y = 3x - 1
O y = 4x + 2
O y = 4x - 2
Answer:
y = 3x + 1
Step-by-step explanation:
first we need to find the slope
m = (y2-y1) / (x2-x1)
m = (10 - -2) / (3 - -1) = 3
note that it does not matter which points you chose to be second or first
then use slope point equation again it does not matter which point you use
y - y1 = m ( x - x1 )
y - 10 = 3 ( x - 3)
y - 10 = 3x -9
y = 3x -9 + 10
y = 3x +1
Use the slope formula below (Rise Over Run)
[tex] \large \boxed{m = \frac{y_2 - y_1}{x_2 - x_1} }[/tex]
We are given two points. Substitute those points in the equation. Remember that it is (x,y) and not (y,x).
[tex] \large{m = \frac{10 - ( - 2)}{3 - ( -1)} } \\ \large{m = \frac{10 + 2}{3 + 1} \longrightarrow m = \frac{12}{4} } \\ \large \boxed{\purple{m = 3}}[/tex]
Next we will be using the point-slope form then convert into slope-intercept form. You can also use the slope-intercept form to substitute one of these points and solve for the y-intercept. However, I will be using the point-slope form instead.
[tex] \large \boxed{y - y_1 = m(x - x_1)}[/tex]
The equation above is in point-slope form. Next we can substitute one of given points. I will choose (-1,-2) to substitute (You can use another point as well since the outcome would be the same.)
[tex] \large{y - ( - 2) = 3(x - ( - 1))}[/tex]
We substitute x1 = -1, m = 3 and y1 = -2. Next, we simplify the equation and convert it in slope-intercept form.
[tex] \large{y + 2 = 3(x + 1)} \\ \large{y = 3(x + 1) - 2} \\ \large{y = 3x + 3 - 2} \\ \large \boxed{ \red{y = 3x + 1}}[/tex]
Answer
y = 3x+1Given a circle with radius 4 cm, calculate (use π=3,14) the circumference, rounding off to two decimal places
Answer:
goodgydudufjdjdjdjdururirurur7rigjfifut
Step-by-step explanation:
goodghdhfudjdjsdhydydbsjshhdvrjeiid
Find the value of x.
Answer:
x=10
Step-by-step explanation:
6(x+2)=8(x-1)
x=10
Answer:
[tex]x = 10[/tex]
Step-by-step explanation:
[tex]8(x−1)=6(x+2)[/tex]
[tex]8x−8=6(x+2)[/tex]
[tex]8x−8=6x + 12[/tex]
[tex]2x−8=12[/tex]
[tex]2x=12+8[/tex]
[tex]2x=20[/tex]
[tex]x = \frac{20}{2} [/tex][tex]x = 10[/tex]
Hope it is helpful....Helppppppp me please
Given:
In [tex]\Delta QRS, \overline{QR}\cong \overline{SQ}[/tex] and [tex]m\angle Q=114^\circ[/tex].
To find:
The [tex]m\angle S[/tex].
Solution:
In [tex]\Delta QRS[/tex],
[tex]\overline{QR}\cong \overline{SQ}[/tex]
It means the triangle QRS is an isosceles triangle. We know that the base angles of an isosceles triangle are congruent and their measures are equal.
[tex]\angle R\cong \angle S[/tex] [Base angles of isosceles triangle QRS]
[tex]m\angle R=m\angle S[/tex] ...(i)
In [tex]\Delta QRS[/tex],
[tex]m\angle Q+m\angle R+m\angle S=180^\circ[/tex]
[tex]m\angle Q+m\angle S+m\angle S=180^\circ[/tex] [Using (i)]
[tex]114^\circ+2m\angle S=180^\circ[/tex]
[tex]2m\angle S=180^\circ-114^\circ[/tex]
[tex]2m\angle S=66^\circ[/tex]
Divide both sides by 2.
[tex]m\angle S=\dfrac{66^\circ}{2}[/tex]
[tex]m\angle S=33^\circ[/tex]
Therefore, the [tex]m\angle S[/tex] is 33 degrees.
Can someone pleaseeee help and if you’re correct i’ll give brainliest
Answer:
area =length× width
32 =length×4.
length=8 feet
A population of insects can be modeled by the equation y = 12,000 + 8000 sin(θ). What is the greatest number of insects you will find?
Answer:
20000
Step-by-step explanation:
The greatest value obtained by sin(x) is 1.
So the greatest amount of insects is 12,000 + 8000(1)=20000.
The greatest number of insects are 20000.
What is trigonometric function?"Trigonometric functions can be simply defined as the functions of an angle of a triangle. It means that the relationship between the angles and sides of a triangle are given by these trigonometric functions.
The basic trigonometric functions are sine, cosine, tangent, cotangent, secant and cosecant. "
We have,
y = 12000+8000 sinθ
The possible greatest value of trigonometric function in sinθ is 1 i.e., at [tex]90^{0}[/tex]
∴ sinθ = 1
substitute sinθ = 1 in given equation
y = 12000+8000 (1)
⇒ y = 12000+8000
⇒ y = 20000
Hence, The greatest number of insects are 20000.
Learn more about trigonometric function here
https://brainly.com/question/22600237
#SPJ2
Hi, I'm really struggling with this question, any help?
A function inputs values for x and outputs values for y. The ordered pairs below represent three points on the graph of the function. (2,4) (3,0) (5,−1)
Is the function linear? Justify your response.
Answer:
Nope it isn't linear.
Step-by-step explanation:
Use a coordinate plane. The slope is y = -4x+12. if you plug that in, you will get all of the lines correctly
for instance you put 2,4
4 = -4(2)+12
4 = -8+12
that is true
but if you put in (5,-1)
-1 = -4(5)+12, which is not true
if all of them is true, then it would be true.
if even ONE of them is not true, then the who line is not linear
PLEASE HELP FAST!!!!!!!!!
Answer:
First: [tex]y = \frac{4}{7} x + 2[/tex]
Second: [tex]y = -\frac{1}{7} x + 2[/tex]
Third: [tex]y = x + 2[/tex]
Fourth: [tex]y = \frac{1}{7} x + 2[/tex]
Line l has a slope of −3. The line through which of the following pair of points is perpendicular to l? i will give brainliest for the answer
A. (−4,−3),(−3,−6)
B. (−18,−1),(−3,0)
C. (−6,−4),(−3,−3)
D. (−2,−3),(−3,−6)
Answer:
c. (−6,−4),(−3,−3)
Step-by-step explanation:
a). y2 - y1 / x2 - x1
-6 - (-3) / -3 - (-4)
-3/ 1
= -3
b). y2 - y1 / x2 - x1
0 - (-1) / -3 - (-18)
= 1/15
c). y2 - y1 / x2 - x1
-3 - (-4) / -3 - (-6)
= 1/3
d). y2 - y1 / x2 - x1
-6 - (-3) / -3 - (-2)
3
Answer:
D
Step-by-step explanation:
ALWAYS REMEMBER THIS EQUATION: [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex]
Find the slope of answer A
1. [tex]\frac{-6 - -3}{-3 - -4} = \frac{-3}{1}[/tex]
2. This answer is not perpendicular to "l" because it is equal to -3. (Even if it has a different y-intercept, it will just be parallel, not perpendicular.)
Find the slope of answer B
1. [tex]\frac{0 - -1}{-3 - -18} = \frac{1}{15}[/tex]
2. This answer is not perpendicular to "l".
Find the slope of answer C
1. [tex]\frac{-3 - -4}{-6--2} = \frac{1}{-4}[/tex]
2. This answer is not perpendicular to "l".
Find the slope of answer D
1. [tex]\frac{-6 - -3}{-3 - -2} = \frac{-3}{-1}[/tex]
2. This answer is perpendicular to "l" because 3 is the inverse of -3.