Alternate interior angles are congruent. so ∠3 = ∠6 -------> by alternate interior angles.
________________
Hope this makes sense!
-Lexi
Solve for x by factoring
x^2 + 2x = 24
Please help
Given the parent function p(x) = cos x, which
phrase best describes the transformation used
to obtain the graph of g(x) = cos (x + a) – b,
if a and b are positive constants?
Answer: left a units, down b units
Step-by-step explanation:
The phrase which describe g(x) for parents function p(x) is:
" Graph shifts a units in negative x direction and b units in negative y direction"
What is Shifting of Origin?The shifted origin has the coordinates (h, k). That is, the shifted X and Y axes are at distances h and k from the original X and Y axes respectively.
Here, general equation
y = cos ( x - h ) + k
where, h and k are points which shows the shifting of function on x and y axes.
On comparing general equation with given equation g(x)
so we get h = -a and k = -b.
Thus, the phrase which describe g(x) for parents function p(x) is:
" Graph shifts a units in negative x direction and b units in negative y direction".
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Instructions: Find the value of the trigonometric ratio. Make sure to simplify the fraction if needed.
Answer:
30/34
Step-by-step explanation:
Solve the following system of equations.
– 7x-6v = 15
3x + 5y = -4
Answer:
yup umm
Step-by-step explanation:
-4
A blood bank needs 7 people to help with a blood drive. 17 people have volunteered. Find how many different groups of 7 can be formed from the 17 volunteers.
Find the area of the shaded region.
Round to the nearest tenth.
150°
27.8 in
Area = [? ] in?
The area of a shape is the amount of space on the shape.
The area of the shaded region is 819 inches square
How to determine the area of the shaded regionStart by calculating the area of the sector using:
[tex]A = \frac{\theta}{360}*\pi r^2[/tex]
So, we have:
[tex]A = \frac{150}{360}*\frac{22}{7} * 27.8^2[/tex]
[tex]A = 1012.05[/tex]
Next, calculate the area of the isosceles triangle using:
[tex]A = \frac 12 r^2\sin(\theta)[/tex]
So, we have:
[tex]A = \frac 12 * 27.8^2 * \sin(150)[/tex]
[tex]A = 193.21[/tex]
The shaded area is the difference between the areas of the sector and the triangle.
So, we have:
[tex]A = 1012.05 - 193.21[/tex]
Calculate the difference
[tex]A = 818.84[/tex]
Approximate
[tex]A = 819[/tex]
Hence, the area of the shaded region is 819 inches square
Read more about areas at:
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Answer:
A= 818.4
Step-by-step explanation:
{(32)-3/4)3/4}4/5 pls solve it
Answer:
18 3/4
Step-by-step explanation:
Solve {(32)-3/4)3/4}4/5
Expand the inner parenthesis
{(32)-3/4)3/4}4/5
= {3/4(32) - (3/4)(3/4)}*4/5
= {3(8)- 9/16} * 4/5
= {24 - 9/16}* 4/5
= 4/5(24) - 4/5(9/16)
= 96/5 - 36/80
= 96/5 - 9/20
Fine the LCM
= 96(4)-9/20
= (384-9)/20
= 375/20
= 18 15/20
= 18 3/4
Hence the required result is 18 3/4
A televison set can be bought for $860 cash or on hire purchase with $100 down payment and 12 monthly installments of $70 each. The amount that may be saved by buying the television for cash is
A) $80
B) $100
C) $940
D) $960
Perform the following multiplication
a) 9xy ( x²y – xy²)
b) 7 p?q? (9 pq - 9 p²q²)
Answer:
a: (9x^3y^2)-(9x^2y^3)
Step-by-step explanation:
Throughout Lewis Carroll's book, Alice's Adventures in Wonderland, Alice's size changes. Her normal height is about 50 inches tall. She comes across a door, about 15 inches high, that leads to a garden. After drinking a potion, Alice's height changes to 10 inches so she can visit the garden. How tall would the door have been in Alice's normal world? Justify your answer and provide mathematical evidence.
Answer:
The answer is 75 inches.
Step-by-step explanation:
If Alice is 10 inches, she is 2/3 as tall as the door. At her regular height, to be 2/3 as tall as the door the door would have to be 75 inches high.
A sequence is given below.
576, 288, 144, 72, . . .
answer for this please
Step-by-step explanation:
Multiply: 6 (children) • 2.15 (cost per ticket) = 12.90
Add: 12.90 + 4.90 = £17.80
PLEASE GEOMETRY HELP WILL MARK BRAINLIEST!!!
Answer:
Step-by-step explanation:
71+42+BAD=180
BAD=67
Answer:
m<BAD = 67
Step-by-step explanation:
The given figure is a parallelogram. Consecutive angles in a parallelogram are supplementary, meaning that their angle measures sum up to 180 degrees. Using this, one can say,
m<D + m<A = 180
Substitute,
m<ADB + m<BDC + m<A = 180
71 + 42 + m<A = 180
113 + m<A = 180
Inverse operations,
113 + m<A = 180
-113 -113
m<A = 67
this is due today can anyone help ?
Answer:
C
Step-by-step explanation:
you need to start by plugging in -2x+4 every were it says y then solve for x when you have found x plug it into one of the equations and solve for y
1. 800 tickets were sold for a Rock Music
Concert with a total revenue of $7500. If
adult tickets were sold for $12 and students
tickets were sold for $8. How many of each
type of ticket were sold?
I will set it up for you only.
Let a = adult tickets
Let s = student tickets
Here is your system of equations:
a + s = 800
12a + 8s = 7500
please help
answer the question
please don't steal the points
From which set of dimensions could a triangle be constructed?
side length of 7
side length of 8
side length of 15
side length of 8
side length of 5
side length of 14
side length of 6
side length of 3
side length of 10
side length of 2
side length of 6
side length of 7
Answer:
side length of 2
side length of 6
side length of 7
Step-by-step explanation:
So remember the two shorter lengths added together have to be greater than the longest side length
For the first answer choice we add 7 and 8
7+8=15
The two shorter sides added are not greater then the longest side so that is not the answer
For the second answer choice we add
8 and 5
8+5=13
13 is not greater than 14 so this is not the answer choice either
For the third one we add 6 and 3
6+3=9 which is not greater than 10 so this is not the answer
For the last one we add 2 and 6
2+6=8 which is greater than 7 so this one is the answer
Answer:
D.
Step-by-step explanation:
Raju’s age (in years) is 2 more than 5 times her daughter’s age. What is his age. guys help me
Step-by-step explanation:
if you are writing it in an expression then
let raju's age be = x
let daughter be = y
x = 2 (5 × y)
x = 2 (5y)
x = 10y
so if daughter is 2 years old, then
x = 10(2)
x = 20 years
An equation is given.
2
x
=
26
2x=26
Which calculation would need to be done to solve the equation?
A
divide both sides by 2626
B
multiply both sides by 2626
C
divide both sides by 22
D
multiply both sides by 2
D because 2 has a x next to it so you divide by 2 on both sides
Look at this shape:
Which image shows a reflection?
Answer:
I think it's A
PLEASE CAN SOMEONE HELP MY ASSIGNMENT!!!!!!!
Answer:
1. The applicable theorem is the midsegment theorem
y = 5 cm
Step-by-step explanation:
The given quadrilateral MATH is an isosceles trapezoid,
The bases of the isosceles trapezoid are
b₁ = [tex]\overline{MA}[/tex] and b₂ = [tex]\overline{HT}[/tex]
The median of the isosceles trapezoid = [tex]\overline{LV}[/tex]
MA = 3·y - 2
HT = 2·y + 4
LV = 8.5 cm
The midsegment theorem states that the median of a trapezoid is parallel to the bases of the trapezoid and is equal to half the length of the sum of the bases of the trapezoid
The median of a trapezoid = (1/2)×(b₁ + b₂)
Therefore, we have;
The median of the isosceles trapezoid, LV, given as follows;
LV = 8.5 = (1/2)×((3·y - 2) + (2·y + 4))
LV = 8.5 = (1/2)×(5·y + 2) =
2 × 8.5 = (5·y + 2)
17 = 5·y + 2
∴ 5·y = 17 - 2 = 15
y = 15/3 = 5
y = 5 cm
Mr. See weights his grades. Tests are worth 60%, quizzes are worth 25% and homework is 15%. Joey's test average is an 82, his quiz average is a 77, and his homework average is a 98. What is Joey's current grade?
Answer:
83.15
Step-by-step explanation:
Joey's current grade can be determined by weighting his scores with the weights given and adding the results
Tests = 0.6 x 82 = 49.2
Quizzes = 0.25 x 77 = 19.25
homework = 0.15 x 98 = 14.7
49.2 + 19.25 + 14.7 = 83.15
please help I'm desperate
Answer:
Um i think 0.25
Step-by-step explanation:
Im sorry there is a 80% chance im wrong (im only in 6th)
4. Suppose 4x + 9 pizzas were sold on Monday and 3x - 4 pizzas were sold on
Tuesday. What is the total number of pizzas sold?
Answer:
7x+5 pizzas were sold.
Step-by-step explanation:
4x and 3x combine to make 7x. Since we are adding 9 and also subtracting 4, they cancel out to be adding only 5. Combine this to make 7x+5.
HELPP I WILL BE GIVING BRAINLIEST AND 30 POINTS
FBG= 10*
ABC= 180*
Now I will uhhhhhhhhhhhhhhhhhhhhhhhhhhhh yeah
Which two values of x are roots of the polynomial below? (select all that apply
3x^2-3x+1
The roots of the given quadratic equation 3x² - 3x + 1 are x = [3 + √(-3)]/6 and x = [3 - √(-3)]/6 thus options (A) and (B) are correct.
What is a quadratic equation?An algebraic equation of the second degree in x is a quadratic equation. The quadratic equation is written as ax2 + bx + c = 0, where x is the variable, and a must not be zero.
As per the given equation,
3x² - 3x + 1
To find the roots of the above quadratic equation,
3x² - 3x + 1 = 0
x = [-(-3) ± √((-3)² - 4×3×1)]/(2×3)
x = [3 ± √(-3)]/6
x = [3 + √(-3)]/6 and x = [3 - √(-3)]/6
Hence "The roots of the given quadratic equation 3x² - 3x + 1 are x = [3 + √(-3)]/6 and x = [3 - √(-3)]/6".
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find the chaange original 8 new 12
Answer:
so my calculations show that (12.1 / 9.8) - 1 =~ 0.2346938775510204081632653061224 that is about a percentage of 23.469% thank you for asking that question, oh and this answer is also on yahoo
Step-by-step explanation:
pls Help asap thx alot
Answer:
y = 42x + 2
Step-by-step explanation:
yeah...
https://pad let.com/lil_g/ha7w6l19bzmv3cd0
Please Please Help Me
Answer:
312cm squared
Step-by-step explanation:
The area of one of the 4 small triangles is 30 cm squared, multiply this by 4 and you get 120cm squared. Then the area of the rectangle is 192cm squared, add these together and you get 312cm squared.
the real great pyramid has a square base with side length 750 feet and a height of 5000 feet. If the student has 162 cubic inches of clay for her model, what height will her pyramid be in inches?
Answer:
i hope this picture help u