Answer:
Figure C
Step-by-step explanation:
Reflection across the line y = x transforms point (x, y) into (y, x)
(3, 1) -> (1, 3)
(4, 1) -> (1, 4)
(4, 3) -> (3, 4)
(5, 3) -> (3, 5)
After rotation, all points remain in the first quadrant. Figure C is rotated in the first quadrant, then it is the correct option.
Because Figure C is rotated in the first quadrant,its represents the image of parallelogram LMNP after a reflection across the line y = x
What is a Parallelogram?A Parallelogram is simply a four-sided quadrilateral with opposite sides parallel to each other.
What figure identifies the image of parallelogram LMNP?Question Parameter(s):
5 parallelograms are shown
LM N P has points (3, 1), (4, 1), (4, 3), and (5, 3).
Generally, the indivudual tranformation is is mathematically given as
Reflection gives (x, y) into (y, x)
(3, 1) -> (1, 3)
(4, 1) -> (1, 4)
(4, 3) -> (3, 4)
(5, 3) -> (3, 5)
In conclusion, Figure C represents the image
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Factor 8d^2 - 18 ? HELP PLEASE!!!!
Answer:
2 ( 2d -3)(2d+3)
Step-by-step explanation:
8d^2 - 18
Factor out the greatest common factor 2
2(4d^2 -9)
Rewriting the terms in parentheses
2 (( 2d)^2 - 3^2)
We recognize that this is the difference of squares ( a^2 - b^2) = (a-b)(a+b)
2 ( 2d -3)(2d+3)
Answer:
[tex]2(2d-3)(2d+3)[/tex]
Step-by-step explanation:
[tex]8 {d}^{2} - 18 \\ 2(4 {d}^{2} - 9)
=2(2d-3)(2d+3) [/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
What is the solution to the system of equations?
-2x + 3y = 13
3x + 4y = 6
Answer:
x = -2
y = 3
Step-by-step explanation:
You are given a system of two linear equations:
-2x + 3y = 13
3x + 4y = 6
One of the good ways to solve this system is trying to eliminate one variable (x or y), calculate the remaining variable and substitute the calculated variable back into system to solve for eliminated variable.
Here, we will manipulate the original system, so that we can easily eliminate x.
Let's multiply both sides of the first equation by 3 and the second equation by 2 (this manipulating step does not change the original system of equations).
3*(-2)x + 3*3y = 3*13
2*3(x) + 2*4y = 2*6
<=>
-6x + 9y = 39
6x + 8y = 12
Now, we add up two equations, left side + left side, right side + right side, we obtain:
-6x + 9y + 6x + 8y = 39 + 12
or
17y = 51
We divide both sides of equation by 17, to get y.
=> y = 51/17 = 3
Substitute y = 3 back into the first equation of system (or the second equation, it doesn't matter, here we choose the first one).
=> -2x + 3*3 = 13
=> -2x + 9 = 13
=> -2x = 4
=> x = -2
=> The solution of this system is (x, y) = (-2, 3)
Hope this helps!
:)
Find a coterminal angle to -180 degrees.
Answer:
540 degrees
Step-by-step explanation:
Pat walked around a circular track she knew that the distance across The center was 100 meters if she walked around the entire track how far did she walk
Answer:
314.16 m
Step-by-step explanation:
The distance across the track is 100 metres. This means that the diameter is 100 m.
The track is circular, so, we need the circumference.
The circumference of a circle is given as:
C = πD
where D = diameter
Therefore, the circumference of the track is:
C = π * 100 = 314.16 m
She walked a distance of 314.16 m
Use the
DULive
(7 x 9) - (7 x 2) = (x (9 - 2)
Answer:
X=7
Step-by-step explanation: I
63-14=7x
7x=49
x=7
Please answer correctly !!!!!! Will mark brainliest !!!!!!!!!
Answer:
-136x
Step-by-step explanation:
Pls brainliest
What is the approximate area of a sector of a circle with a radius of 8 cm, and a minor arc of 70 degrees?
Answer:
39.0953=39cm2
Step-by-step explanation:
Minor arc =70
Angle of arc=70
Then this sector =70/360=7/36 of the circle
Then area = 7/36x3.14x8x8=39cm2 approximatly
(Literal equations) The formula for the volume of a cylinder is V = πr^2h. Solve V = πr^2h for h, the height of the cylinder. A. h= π/Vr^2 B. h= πr^2/V C. h= V/πr^2 D. h= πV/r^2
Answer:
C
Step-by-step explanation:
Given
V = πr²h
Isolate h by dividing both sides by πr²
[tex]\frac{V}{\pi r^2}[/tex] = h → C
what type of solutions does this equation have
Answer:
2 imaginary solutions
Step-by-step explanation:
Select the correct answer. Which economic indicator measures inflation? A. GDP B. CPI C. unemployment rate
Answer:
B
Step-by-step explanation:
The correct answer is CPI. It shows the average price over time paid by consumers.
Hope this helps! (Please consider giving brainliest)
P.S: This is not a mathematics question.
The economic indicator measures inflation among the options given is: C. unemployment rate
What is an economic indicator that measures inflation?CPI (Consumer Price Index) is the appropriate economic indicator for assessing inflation as it monitors price fluctuations of a designated basket of goods and services, giving insights into average price changes.
Conversely, GDP (Gross Domestic Product) quantifies the total value of goods and services produced in an economy, while the unemployment rate measures the percentage of the labor force without jobs.
Therefore, the answer is: C. unemployment rate
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if x
varies directly as y.
x=5 and y=10. find the
Value of a x when y=
3
Answer:
x = 1.5 when y = 3
Step-by-step explanation:
You can put this in a ratio:
x : y
5 : 10
1.5 : 3
x is 1.5 when y is 3.
You can work a maximum of 40 hours a week. You need to make $440 in order to cover your expenses. Your office job pays $12 an hour and your babysitting job pays $10 an hour. What is the least possible number of hours you can work at your office job and still meet the requirements?
Answer:
The least possible number of hours you can work at your office job is 20.
Step-by-step explanation:
$12/h ----> office
$10/h ----> babysitting
"o" -----> hours office job
"b" -----> hours babysitting job
[tex]12x + 10y = 440\\x + y \leq 40\\12x + 10y = 440 -----> 6x + 5y = 220 ----> y = \frac{220-6x}{5} \\\\x + y \leq 40\\x + \frac{220-6x}{5} \leq 40\\5x + 220 - 6x \leq 200\\x \geq 20[/tex]
From a point on the ground the angle of elevation of the top of a tower is x°. Moving 150 meters away from that point the angle of elevation was found to be y° .If tan x=3/4 and tan y=5/7 find the height of the tower.
Answer:
2250m
Step-by-step explanation:
Step 1
Since
Hence,
tan x = 3/4
tan y=5/7
tan x = BA/ CA where BA = height and CA = distance
3/4 = h/ d
4h = 3d
h = 3d/4.......... Equation 1
tan y = BA / DA + 150m
5/7 = h/d + 150
7 × h = 5(d + 150)
7h = 5d + 750............ Equation 2
Since h = 3d/4
7(3d/4) = 5d + 750
21d/4 = 5d + 750
Multiply both sides by 4
21d = 4(5d + 750)
21d = 20d + 3000
21d -20d = 3000
d = 3000
Distance (d) = 3000m
Substitute 3000m for d in equation 1
h = 3d/4
h = 3 × 3000/4
h = 2250m
Answer:
2250mStep-by-step explanation:
[tex]tangent=\dfrac{opposite}{adjacent}[/tex]
We have:
[tex]\tan x^o=\dfrac{3}{4}\\\\\tan y^o=\dfrac{5}{7}[/tex]
By definition of tangent, we have:
[tex]\tan x^o=\dfrac{AB}{AC}\\\\\tan y^o=\dfrac{AB}{AC+150}[/tex]
Therefore we have the system of equations:
[tex]\left\{\begin{array}{ccc}\dfrac{AB}{AC}=\dfrac{3}{4}&(1)\\\\\dfrac{AB}{AC+160}=\dfrac{5}{7}&(2)\end{array}\right[/tex]
From (1)
[tex]\dfrac{AB}{AC}=\dfrac{3}{4}[/tex] cross multiply
[tex]3AC=4AB[/tex] divide both sides by 3
[tex]AC=\dfrac{4AB}{3}[/tex]
Substitute it to (2):
[tex]\dfrac{AB}{\frac{4AB}{3}+150}=\dfrac{5}{7}\\\\\dfrac{AB}{\frac{4AB}{3}+\frac{3\cdot150}{3}}=\dfrac{5}{7}\\\\\dfrac{AB}{\frac{4AB}{3}+\frac{450}{3}}=\dfrac{5}{7}\\\\\dfrac{AB}{\frac{4AB+450}{3}}=\dfrac{5}{7}\\\\AB\cdot\dfrac{3}{4AB+450}=\dfrac{5}{7}[/tex]
[tex]\dfrac{3AB}{4AB+450}=\dfrac{5}{7}[/tex] cross multiply
[tex](3AB)(7)=(5)(4AB+450)\\\\21AB=(5)(4AB)+(5)(450)[/tex]
[tex]21AB=20AB+2250[/tex] subtract 20AB from both sides
[tex]AB=2250[/tex]
Such a tower height is rather impossible, but this is the solution.
Ronald spent $123.45 on school clothes. He counted his money and discovered that he had $36.55 left. How much money did he originally have?
Answer:
$123.45+$36.55
= $160
Step-by-step explanation:
Please answer correctly !!!!!!! Will mark brainliest !!!!!!!!!
Answer:
work is shown and pictured
Given: w ∥ x and y is a transversal. Prove: ∠3 and ∠5 are supplementary. Parallel and diagonal lines w and x are cut by horizontal transversal y. On line w where it intersects with line y, 4 angles are created. Labeled clockwise, from uppercase left, the angles are: 1, 3, 4, 2. On line x where it intersects with line y, 4 angles are created. Labeled clockwise, from uppercase left, the angles are: 5, 7, 8, 6. Use the drop-down menus to complete the proof. Given that w ∥ x and y is a transversal, we know that ∠1 ≅∠5 by the . Therefore, m∠1 = m ∠5 by the definition of congruent. We also know that, by definition, ∠3 and ∠1 are a linear pair so they are supplementary by the . By the , m∠3 + m ∠1 = 180. Now we can substitute m∠5 for m∠1 to get m∠3 + m∠5 = 180. Therefore, by the definition of supplementary angles, ∠3 and ∠5 are supplementary.
Answer:
1.Corresponding angles theorem
2.Linear postulate
3.By the definition of supplementary angles
Step-by-step explanation:
We are given that
[tex]w\parallel x \ and \ y[/tex] is a transversal.
We have to prove [tex]\angle 3[/tex] and [tex]\angle 5[/tex] are supplementary
Proof:
1.Given that [tex]w\parallel x \ and \ y[/tex] is a transversal.
We know that [tex]\angle 1\cong \angle 5[/tex]
Reason:Corresponding angles theorem
Therefore, [tex]m\angle 1=m\angle 5[/tex]
by the definition of congruent.We also know that, by definition, angle 3 and angle 1 are a linear pair.
Therefore, they are supplementary by linear pair postulate
By the definition of supplementary angles
[tex]m\angle 3+m\angle 1=180^{\circ}[/tex]
Now, we can substitute [tex]m\angle 5=m\angle 1[/tex]
Then, we get
[tex]\m\angle 3+m\angle 5=180^{\circ}[/tex]
Therefore, by the definition of supplementary angles,angle 3 and angle 5 are supplementary
Answer:
1. Corresponding angles theorem
2. Linear pair postulate
3. Definition of supplementary angles
Find the value of x in the given right triangle.
Answer:
cosine = adjacent / hypotenuse
cosine (62) = x / 12
x = 12 * 0.46947
x = 5.6
Step-by-step explanation:
Arrange the trigonometric functions in increasing order of their values
cos π/6 sin π/6 cos π/2 sin π/2 cos π/4
Answer: pretty sure it's this
Step-by-step explanation:
who can please help solve and explain
Answer:49882
when I put a number over a number it means I can't put the whole number inside the answer line so I toke out the last number and put it in
5 0 9
× 9 8
45810. this is from multiplying with the nine
+ 4062. this is from multiplying with the right
49882 this is the answer
u had to add the two answer and that's how I got 49882
A toy store marks down every toy by 15% in June .how much does a toy cost during June
Answer:
15% less than its regular price
Step-by-step explanation:
If the toy is marked down 15% in June, its cost during June is 15% less than its regular cost. (It will be 85% of its regular cost.)
I’m tryna figure out how find the value of x
Step-by-step explanation:
tan(37) = x/3
x=tan(37)*3
Kent is cutting a long tree into pieces. He cut the trunk into 3 pieces. Then he cut each of those pieces into 3 smaller pieces. Finally he cut each of those smaller pieces into 3 still smaller pieces. How many pieces did they have then?
Answer:
27
Step-by-step explanation:
he started by cutting one log into 3
1×3=3
then cutting each of those into 3
3×3=9
then again
9×3=27
Teena and Adil have a total of 560 counters. Adil has 2/5 of the number of counters that Teena has. How many more counters does Teena have then Adil?
A) 240
B) 336
C) 400
D) 224
ANSWER:
:2/5 * 560 = D) 224
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Match each division expression with the correct quotient.
6x - 8
5x - 8
2x + 6
8r - 2
6x + 5
2x + 5
50 + 6
5.1 – 2
A:(1812 + 150) - 3.1
B:(16x2 + 48x) - 81
C:(56x2 - 14x) = 7x
D:(20x2 – 32x) = 4x
Answer:
A. 6 x + 5
B. 2 x + 6
C. 8 x - 2
D. 5 x - 8
Step-by-step explanation:
Given: division expressions
To find: quotient of each of the division expressions
Solution:
Use formula: [tex]\left ( \frac{x^m}{x^n} \right )=x^{m-n}[/tex]
A.
[tex]\frac{18x^2+15x}{3x}=\frac{18x^2}{3x}+\frac{15x}{3x}=6x^{2-1}+5=6x+5[/tex]
B.
[tex]\frac{16x^2+48x}{8x}=\frac{16x^2}{8x}+\frac{48x}{8x}=2x^{2-1}+6=2x+6[/tex]
C.
[tex]\frac{56x^2-14x}{7x}=\frac{56x^2}{7x}-\frac{14x}{7x}=8x^{2-1}-2=8x-2[/tex]
D.
[tex]\frac{20x^2-32x}{4x}=\frac{20x^2}{4x}-\frac{32x}{4x}=5x^{2-1}-8=5x-8[/tex]
Answer:
A.[tex]\frac{18x^2+15x}{3x}=6x+5[/tex]
B.[tex]\frac{16x^2+48x}{8x}=2x+6[/tex]
C.[tex]\frac{56x^2-14x}{7x}=8x-2[/tex]
D.[tex]\frac{20x^2-32x}{4x}=5x-8[/tex]
Step-by-step explanation:
A.[tex]\frac{18x^2+15x}{3x}[/tex]
[tex]\frac{3x(6x+5)}{3x}[/tex]
=[tex]6x+5[/tex]
[tex]\frac{18x^2+15x}{3x}=6x+5[/tex]
B.[tex]\frac{16x^2+48x}{8x}[/tex]
=[tex]\frac{16x(x+3)}{8x}[/tex]
[tex]=2(x+3)[/tex]
[tex]=2x+6[/tex]
[tex]\frac{16x^2+48x}{8x}=2x+6[/tex]
C.[tex]\frac{56x^2-14x}{7x}[/tex]
[tex]=\frac{14x(4x-1)}{7x}=2(4x-1)=8x-2[/tex]
[tex]\frac{56x^2-14x}{7x}=8x-2[/tex]
D.[tex]\frac{20x^2-32x}{4x}[/tex]
=[tex]\frac{4x(5x-8)}{4x}=5x-8[/tex]
[tex]\frac{20x^2-32x}{4x}=5x-8[/tex]
The slope of a line is
oni -
and the y-intercept is 5. What is the equation of the line written in general
5'
form?
Answer:
I don't know what general 5' form means, but I'm guessing that means slope-intercept form, the easiest form of a linear equation. So we can use the equation for this is y = mx+b. M being slope, and b is the y-intercept. So that means that we will get an answer of:
y = 1x+5, you spelled 1 wrong so I just correct it.
Answer: y = x+5Please answer correctly !!!!!!!! Will mark brainliest !!!!!!!!!!!
Answer:-5-1 c
Step-by-step explanation:
Rafael ha comprado 185,8 kg. de manzanas y 300,2 kg. de naranjas. ¿Cuánto más pesan las naranjas que las manzanas? ¿Cuánto pesa su compra?
Answer:
a.114.4kg
b. 486kg
Step-by-step explanation:
Firstly , we want to know the value with which the apples weigh more than the oranges
To calculate this, we simply subtract the weight of the oranges from that of the apple
Mathematically, that would be ;
300.2-185.8 = 114.4kg
The total weight of the things bought is calculated by adding both weights together
That would be 185.8 + 300.2 = 486 kg
Find the size of the final unknown interior angle in a polygon whose other interior angles are:
Answer:
Step-by-step explanation:(2ñ-4)90
(7×2-4)90
=900°
900-(162+125+148+105+98+115)
900-753
=147°
SOMEBODY PLEASE HELP:)
Answer:
A =12.92 cm^2
Step-by-step explanation:
The area of a triangle is given by
A = 1/2 bh where b is the base and h is the height
A = 1/2 ( 7.6) ( 3.4)
A =12.92 cm^2
Answer:
[tex] = 12.92 {cm}^{2} [/tex]
Step-by-step explanation:
[tex]area = \frac{1}{2} \times b \times h \\ = \frac{1}{2} \times 7.6 \times 3.4 \\ = \frac{25.84}{2} \\ = 12.92 {cm}^{2} [/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Hector draws a triangle with exactly two sides that have the same length. Which of the following are possible ways to classify the triangle by its angle measures and side lengths? Select all that apply. A. right and isosceles B. acute and isosceles C. obtuse and scalene D. acute and scalene E. obtuse and isosceles
Answer:
I think it's A but I'm not sure
