Answer:
x = 45 degree as it is an alternate angle we use 135 degree to prove supplementary angles across the straight line add up to 180 degree.
Therefore we prove 180-135 = 45 degree and say all angles on straight line add up to 180 degree, and recognize x is an alternate angle as the arrow straight lines are parallel and create precise alternate lines from which we can prove multiple supplementary and alternate angles.
Supplementary can be either angle will always be supplementary from either 45 degree angle matched with any 135 degree as they don't have to be together to be supplementary they only have to equal 180 degree to be a supplementary angle.
Step-by-step explanation:
algebra applications: find the value of x and y
Answer:
x = 10°
y = 35°
Step-by-step explanation:
9x + 20 + 7x = 180 (supplementary angles)
16x = 180 - 20
16x = 160
x = 10°
2y = 7x ( opposite angles)
2y = 70
y = 35°
Factor completely 3x2 − 11x + 8
A. (x + 4)(3x - 2)
B. (x − 2)(3x − 4)
C. (x + 1)(3x − 8)
D. (x − 1)(3x − 8)
Answer:
The Answer is D. (x - 1) (3x - 8)
Step-by-step explanation:
So, we start with [tex]3x^2 - 11x +8[/tex].
First step is to break the expression into groups, by doing this, you get:
[tex]\left(3x^2-3x\right)+\left(-8x+8\right)[/tex]
Next, factor out the 3x from [tex]\left(3x^2-3x\right)[/tex]. By doing this, you should get:
3x(x - 1)
Then, factor out the 8x from [tex]\left(-8x+8\right)[/tex]. By doing this, you will get:
-8(x - 1)
Last, factor out the common term, x - 1, When you do this, you get:
(x - 1) (3x - 8)
Hope this helps!
Answer:
D.(x − 1)(3x − 8)
Step-by-step explanation:
In the image below, m2OMN = (2x+9) and m2 LMN = (6x-7) and m2 OML = 66.
Find m ZOMN and m LMN
Answer:
m<OMN = 25
m<LMN = 41
Step-by-step explanation:
m<OMN = 2x + 9
m<LMN = 6x - 7
m<OML = 66
m<OMN + m<LMN = m<OML
2x + 9 + 6x - 7 = 66
8x + 2 = 66
8x = 64
x = 8
m<OMN = 2x + 9 = 2(8) + 9 = 16 + 9 = 25
m<LMN = 6x - 7 = 6(8) - 7 = 48 - 7 = 41
Answer:
m<OMN = 25
m<LMN = 41
What value of b will cause the system to have an infinite
number of solutions?
y = 6x-b
3x+1/2y=-3
-3x + 2 y = -3
b =
O 2
X
04
6
8
Answer:
6
Step-by-step explanation:
Given the system of equations:
y = 6x-b (eq. 1)
-3x+1/2y = -3 (eq. 2)
We can rewrite eq. 1 as follows:
-6x + y = -b
Dividing by 2:
(-6x + y)/2 = -b/2
-6x/2 + y/2 = -b/2
-3x + 1/2y = -b/2
The system of equations will have infinite number of solutions if both equations are equal. Therefore:
-b/2 = -3
b= -3*(-2)
b = 6
PLEASE HELP ASAP- What is the quotient of the integers closest to the square root of 254 and the square root of 62?
Answer:
2
Step-by-step explanation:
sqrt(254) is in between 15 and 16, closer to sqrt(256), which is 16
sqrt(62) is in between 7 and 8, closer to sqrt(64), which is 8
thus 16/8 is 2
Maria has a jewelry box and wants to increase its size. She decides she will double the length, width and height. How many times
bigger will the volume of the new box be?
2
3
5
8
Answer:
64 times bigger
Step-by-step explanation:
I will use random values for this explanation to make it more understandable.
Lets say the length of the box is 1 inch, width is 1 inch, and height is 1 inch.
The volume would be l*w*h = 1*1*1 = 1 cubic inch
If the dimensions were 4 times bigger, the length, width and height would all be 4 inches.
4*4*4 = 64 cubic inches, which is 64 times bigger than the smaller box with a volume of 1 cubic inch.
Hope this answer helped! :)
Step-by-step explanation:
In the figure, PA and PB are tangent to circle O and PD bisects angle BPA. the figure is not drawn to scale
Answer:
C (46)
Step-by-step explanation:
Triangle PAO is congruent to Triangle PBO by Hypotenuse-Leg (I'm assuming you learned this already if you have this question let me know if you haven't). OA and OB are both radius of circle O, making them congruent because all radii are congruent. Also PO is congruent to PO by reflexive.
Angle AOC is the same thing is Angle AOP. Angle POB is congruent to Angle AOP by CPCTC (Congruent Parts of Congruent Triangles are Congruent). Therefore, Angle POB is 46 degrees.
Please someone help me, i need thier solve please my teacher told me to solve them
Answer:
A. Domain : (-∞, ∞)
B. Function is increasing in the interval (-2, 0) and (2, ∞)
Decreasing in the interval of (-∞, -2) and (0, 2).
Step-by-step explanation:
A. Given function is, y = |2x - 1|
This function is the transformed form of the parent function, y = |x|
Domain of the parent function is { x | x is a set of real numbers}
Therefore, domain of the transformed function will be the same as the domain of the parent function.
Domain of the function = {x | x is a real number}
B. Given function is f(x) = [tex](x^2-4) ^{\frac{2}{3} }[/tex]
Domain of the function : (-∞, ∞)
Critical points of the function are,
⇒ x = 0, ±2
Now we find the three intervals where we have to check the function to be increasing or decreasing.
(-∞ -2), (-2, 0), (0, 2), (2, ∞)
Derivative of the function f(x),
f'(x) = [tex]\frac{4x}{3(x^2-4)^{\frac{1}{3} } }[/tex]
Here, f'(x) < 0 for (-∞, -2)
f'(x) > 0 for (-2, 0)
f'(x) < 0 for (0, 2)
f'(x) > 0 for (2, ∞)
Therefore, given function is increasing in the interval (-2, 0) and (2, ∞)
And it's decreasing in the interval of (-∞, -2), and (0, 2).
Question:
Consider the rectangle shown here.
A. State its area in square inches.
B. State its area in square feet, to the nearest tenth.
C. In general, A square inches equals how many square feet?
Answer:
A. Area in square inches = 1760 square inches
B. Area in square feet = 12.2 square feet
C. 1 square inch = [tex]\frac{1}{144}[/tex] feet
Step-by-step explanation:
Given,
Length of the rectangle (l) = 55 inches
Breath of the rectangle (b) = 32 inches
A. Area of the rectangle = length × breath
⇒ 55 × 32
⇒ 1760 square inches
Area in square inches = 1760 square inches
B. 1 foot = 12 inches
1 inch = [tex]\frac{1}{12}[/tex] feet
1 square inch = [tex]\frac{1}{144}[/tex] feet
∴ 1760 square inches = [tex]\frac{1760}{144}[/tex] feet
⇒ 12.2222 square feet
Area in square feet = 12.2 square feet
C. 1 square inch = [tex]\frac{1}{144}[/tex] feet
What is the equation of the line that contains (-5,1) and has a slope of 4
PLEASE HELP
Answer:
y=4x +21
Step-by-step explanation:
Find the product:
-2x(-y - 3x + 3)
Answer:
[tex]=2xy+6x^2-6x[/tex]
Step-by-step explanation:
[tex]-2x\left(-y-3x+3\right)\\\mathrm{Distribute\:parentheses}\\=\left(-2x\right)\left(-y\right)+\left(-2x\right)\left(-3x\right)+\left(-2x\right)\cdot \:3\\\mathrm{Apply\:minus-plus\:rules}\\\left(-a\right)\left(-b\right)=ab,\:\:+\left(-a\right)=-a\\=2xy+2\cdot \:3xx-2\cdot \:3x\\\mathrm{Simplify}\:2xy+2\cdot \:3xx-2\cdot \:3x:\quad 2xy+6x^2-6x\\2xy+2\cdot \:3xx-2\cdot \:3x\\2\cdot \:3xx=6x^2\\2\cdot \:3x=6x\\=2xy+6x^2-6x[/tex]
please see the attached picture for full solution
Hope it helps
Good luck on your assignment
What is m∠D? Enter your answer in the box.
Answer:
D = 32
Step-by-step explanation:
A+ B + E = 180 since they form a triangle
14+ 45 + E = 180
E = 180 -14-45
E =121
E on either triangle is the same since they are vertical angles
C+D+E = 180 since they form a triangle
27+ D + 121 = 180
D = 180-121-27
D =32
If it doesnt work please just tell me :)
Answer:
33units^2 is the answer
Step-by-step explanation:
The space shuttle is accelerated off its launch pad to a velocity of 525 m/s in 18.0 seconds.
What is its average acceleration?
Answer:
29.17m/s²Step-by-step explanation:
Acceleration is defined as the change in velocity of a body with respect to time.
Acceleration = velocity/time
Given velocity of the space shuttle = 525m/s and time = 18.0seconds
Its average acceleration = 525/18
Its average acceleration (in m/s²) = 29.17m/s²
Can someone help me with this, I will mark you as brainliest!
The function y = 100(0.5)
x
4
models the percent, y, of an initial dose of medicine remaining in a patientbloodstream after x hours.
Based on the model, what percent of the initial amount of medicine will remain in the patient’s bloodstream after 10 hours? Round to the nearest whole percent.
Answer:
18% , 27 Hours
Step-by-step explanation:
On edge 2020
The percentage of the initial amount of medicine that will remain in the patient’s bloodstream after 10 hours is, 17.7%.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
Since, The function that models the percentage, y, of an initial dose of medicine remaining in a patient's bloodstream after x hours is given as,
⇒ [tex]y = 100 (0.5)^{x/4}[/tex]
Now, if we substitute the value of x as 10 because we need to find the percentage of medicine in the body after 10 hours.
Therefore, the value can be written as,
⇒ [tex]y = 100 (0.5)^{x/4}[/tex]
Put x = 10;
⇒ [tex]y = 100 (0.5)^{2.5}\\[/tex]
⇒ y = 17.677
⇒ y = 17.7
Thus, the percentage of the initial amount of medicine that will remain in the patient’s bloodstream after 10 hours is 17.7%.
Learn more about Function visit:
brainly.com/question/5245372
#SPJ7
How many one-half cubes with dimensions of 1\2x1x1 fit in a unit cube?
0 1
O 2
Answer:
2 half cubes
Step-by-step explanation:
this has only half the width, you just need 1 more to make a whole, therefore 2
Mr. Hammar is painting his house. He uses a 16 foot extension ladder to reach the top peak of the house. The ladder is positioned 5 feet away from the house. How far up the house does the ladder reach? Round your answer to the nearest tenth.
Step-by-step explanation:
For every 4 feet that the ladder rises, the bottom of the ladder should be 1 foot away from the wall. If you are going to climb onto a roof, the ladder should extend 3 feet higher than the roof. Also, the upper and lower sections of an extension ladder should overlap to provide stability
Solve the following quadratic equation using the quadratic formula.
5x^2– 8x+ 5 = 0
Write the solutions in the following form, where r, s, and tare integers, and the fractions are in simplest form.
R+ si/t, x=r+si/t
Answer:
Either
x = 4+3i /5 or x = 4-3i /5
Step-by-step explanation:
To solve the quadratic equation using the quadratic formula, we will follow the steps below;
write down the quadratic formula;
x = -b±√b² - 4ac /2a
First lets compare the equation 5x² - 8x + 5 = 0 to the standard quadratic equation ax² + bx + c
a = 5 b = -8 and c= 5
we can now proceed to substitute the above value into the quadratic formula and then solve. That is;
x = -b±√b² - 4ac /2a
= -(-8)±√(-8)² - 4(5)(5) /2(5)
= 8 ±√64-100 /10
=8 ±√-36 /10
= 8 ±√36 . √-1 /10 note that √-1 = i
=8±6i /10
=[tex]\frac{8}{10}[/tex] ± [tex]\frac{6 i}{10}[/tex]
=[tex]\frac{4}{5}[/tex] ±[tex]\frac{3i}{5}[/tex]
Either
x = 4+3i /5 or x = 4-3i /5
Answer:
answer in picture
Step-by-step explanation:
Factor. x2−8x+16
(x+8)2
(x−4)2
(x+4)2
(x−8)2
Answer:
B
Step-by-step explanation:
[tex]x^2-8x+16= \\\\(x-4)(x-4)=\\\\(x-4)^2[/tex]
You can confirm this by working in reverse:
[tex](x-4)^2= \\\\(x-4)(x-4)=\\\\x^2-4x-4x+16=\\\\x^2-8x+16[/tex]
Hope this helps!
Answer:
(x−4)^2
Step-by-step explanation:
I did the test
37
35
Х
x =
What’s the answer?
Answer:
12
Step-by-step explanation:
use Pythagorean theorem
37^2 = 35^2 + x^2
x= ±[tex]\sqrt[2]{37^2-35^2}[/tex]
x1 = 12
x2= -12 but it is illogical as length cannot be negative
answer: x = 12
Answer: x = 12
Step-by-step explanation:
a^2 + b^2 = c^2
35^2 + b^2 = 37^2
b^2 = 1369 - 1225
b = √144 = 12
Pizza is often circular shape and size of the pizza is the length of diameter with included crust. A 16 inch pizza is one with a 16 inch diameter. What is the area of a 16 inch pizza?
Answer:
≈201 in²
Step-by-step explanation:
Area= π×r²= π×d²/4Area of 16 in pizza= π×16²/4= 3.14× 256/4 ≈201 in²Answer:
201 in²
Step-by-step explanation:
Hope this helps! :)
which of the following circles lie completely within the fourth quadrant? Check all that apply.
Answer:
B and D
Step-by-step explanation
Answer:
B and D
Step-by-step explanation:
A farm is to be built in the shape of Quadrilateral ABCD, as shown below. All four sides are equal. A rhombus ABCD is shown with diagonal AC equal to 14.6 feet and diagonal BD equal to 12.1 feet What is the area of the farm? 48.4 square feet 53.4 square feet 88.33 square feet 117.76 square feet
Answer:
88.33.. ft²
Step-by-step explanation:
The area (A) of a rhombus is calculated as
A = [tex]\frac{1}{2}[/tex] product of diagonals , thus
A = 0.5 × 14.6 × 12.1 ≈ 88.33 ft²
Answer:
We could try another method to check, where we highlight each right angle as each is congruent from centre point.
1/2 7.3 base = 3.65 x 6.05 = 22.0825 x 4 = 88.33unit^2
Step-by-step explanation:
Given the translation T(3, -1), translate the ordered pairs (-3, 6) and (9, -8).
Answer:
[tex](-3,6) \implies (0,5)\\(9,-8) \implies (6,-9)[/tex]
Step-by-step explanation:
The translation [tex]T_{(3,-1)}[/tex] shows that we need to add three units to the x-cordinates and -1 units to y-coordinates, as follows
[tex](-3,6) \implies (0,5)\\(9,-8) \implies (6,-9)[/tex]
Therefore, the image of the coordinates are
[tex](-3,6) \implies (0,5)\\(9,-8) \implies (6,-9)[/tex]
A circle has a radius of 5 inches. What is the circumference of the circle? Use 3.14 for pi.
185 m
English
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Answer:
C =31.4 inches
Step-by-step explanation:
The circumference of a circle is given by
C = 2 * pi *r
C = 2 * 3.14 * 5
C =31.4 inches
________________________________
Solution,
Radius(r)=5 inches
Circumference of the circle=?
Now,
Circumference of circle= 2 pi r
=2*3.14.5
=31.4 inches.
Hope it helps...
Good luck on your assignment
_______________________________
Mrs. Dombrowsky bought 27 books for the
class. What was the cost for one book if she
spent a total of $67.50?
Answer:
$2.50
Step-by-step explanation:
67.50/27 = 2.50
Answer:
$2.50
67.50/27 = 2.50
Step-by-step explanation:
A laptop that costs $250 is on sale with a 20% discount. What is the amount of discount? What’s the explanation to do this
Answer: $50
Step-by-step explanation:
250 x 0.20 = 50
$50 discount
or you pay 80%, so
250 x 0.80 = 200
$200 final cost
$250 original cost - $200 final cost = $50 discount
Answer: 50
Step-by-step explanation:
Discount = 250 x .20 = 50
A new club sent out 195 coupons to boost sales for next years memberships they provided four times as many then to existing members how many coupons that they sent to existing members
Answer:idk
Step-by-step explanation:
sorry
What is the area of the triangle?
8
10
6
units
Answer:
A = 24 units^2
Step-by-step explanation:
The area of a triangle is given by
A = 1/2 bh
The base is 6 and the height is 8
A = 1/2(6) *8
A = 24 units^2