The two angles shown are vertical angles which men they equal each other:
9n = 8n + 8
Subtract 8n from both sides:
N = 8
->Solution
i) 9n = 8n+8 [ V.O.A. vertically opposite angles ]
or, 9n - 8n = 8
or, n = 8
therefore, value of n is 8
Now,
ii) 9n = 9 X n = 9 X 8 = 72 degrees
iii) 8n + 8 = 8 X 8 + 8 = 64 + 8 = 72 degrees
What does s equal? (Write your answer like this: s = __)
Answer:
S= -15/5
the slashes are supposed to be fractions.
Step-by-step explanation:
Hi please help me out I’m really struggling with geometry rn and I can’t afford to buy the tutor thing
Alright let's solve this problem step by step:
Question 1: Find the perimeterDefinition of Perimeter: basically all the side lengths added upThe figure is made up triangles
⇒ however, we do not know the slanted line that goes from the tip to
the edge of the base.
⇒ we can use the Pythagorean Theorem to help us
[tex]2^2 + (5.7)^2 = slanted-line^2\\slanted-line = 6.04[/tex]
Perimeter = 6.04 + 6.04 + 6.04 + 6.04 + 6.04 + 4 + 4 + 4 + 4 + 4
= 50.2 inches
Question 2: Find the slant heightDefinition of Slant height: is the distance measured along a lateral face from the base to the tip along the "center" of the face.
*look at image attached to better understand this definition
⇒ Slant height = 5.7inches
Question 3: Find the Lateral AreaDefinition of Lateral Area: area of the non-base faces only
Lateral Area = 5 * (Area of Triangle Faces)
= [tex]5 *(\frac{1}{2} *5.7 * 4) = 5*2*5.7 = 5 * 11.4[/tex]
= 57 in^2
Hope that helps!
3w + 4x – 15y + 6w + 7x + 7y
5w + 3y + 9x + 2x - 11y + 4w
7x - 3y + 12w + 5y - 3w + 4x
4w + 3x – y + 5w - 14x - 7y
how many of these are equal?
Answer:
3w, 4x, 4w, 7y, 7x, 3y, 5w,
Step-by-step explanation:
Which of the x values are solutions to both of the following inequalities
100< X and x<150
From both equations
100<x<150Hence the solution set in interval notation
x[tex]\in[/tex](100,150)If ABCDE is translated 7 units to the right and 2 units up, what will happen to the polygon?
Answer:
D.
Step-by-step explanation:
It will move but stay the same size. You are translating the shape to a different spot, not adding onto its size.
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I hope this helps!
-No one
How many edges does this shape have?
A. 6
B. 12
C. 16
D. 18
Answer:
B. 12
Step-by-step explanation:
Edges are the straight lines
What is the sum of 2/5 and 1/8
(1+i)^2(x+yi)=4+5i
Solve for x and y
Answer:
x = 5/2
y = -2
Step-by-step explanation:
(1+i)² (x+yi) = 4+5i
(1+2i+i²)(x+yi) = 4+5i
(1+2i-1)(x+yi) = 4+5i
2i(x+yi) = 4+5i
2i²y + 2xi = 4+5i
-2y + 2xi = 4 + 5i
By comparing both sides,
-2y = 4
y = -2,
2x = 5
x = 5/2
PLS HELP
Ignore everything above and below the simplify question
Tony cut a piece of string 90 cm long into three in the ratio of 2:5:3.What is the length of the medium piece?
a. 18cm b. 24cm c. 27cm d. 45cm
Answer:
D
Step-by-step explanation:
We know the ratio of the cut string is 2 : 5 : 3. If we add 2, 5, and 3 together, we get 10. We can do 90 ÷ 10 = 9. Each number in the ratio should be multiplied by 9 to find the actual length after it is cut.
Left piece : 2 x 9 = 18 cm
Middle piece : 5 x 9 = 45 cm
Right piece : 3 x 9 = 27 cm
D is the correct answer.
I hope this helps and please mark me as brainliest!
I NEED THIS IN 10 MINUTES
Answer:
I believe the answer is C, the area of a circle, because pi is irrational, and anything multiplied by it will always result in an irrational number.
Step-by-step explanation:
I hope this helps and please mark me as brainliest!
what is 8(4 - x) = 7x + 2
Answer: x = 2
Step-by-step explanation:
8(4 - x) = 7x + 2= 8(-x + 4) = 7x + 2= -8x + 32 = 7x + 2= -8x + 32 - 32 = 7x + 2 - 32= -8x = 7x + 2 - 32 = -8x = 7x = 30= -8x - 7x = 7x + 30 - 7x= -15x = 7x - 30 - 7x= -15x = 30 -15x/-15 = -30/-15 = x = -30/-15= x = 2And thats how you get the answer!
You roll a number cube ten times and it lands on a 5 two times. What is the theoretical probability that it lands on a 5 on your next roll?
Answer:
2/10 = 1/5
Step-by-step explanation:
It landed five 2 times and you rolled it 10 times
What is the sun of this question somebody tell me
Answer:
2/10 +28/10020+28/10048/10012/25Answer:
first of all you have to take the L.C.M of both which will be 100
Step-by-step explanation:
[tex]2 \div 10 + 28 \div 100 \\ = \frac{20 + 28 }{100} \\ = \ \frac{12}{25} [/tex]
1) Advertisement XYZ Company charges $35 for the first four lines and $5.25 per extra
line to run the ad for one week. Jacqueline plans to sell her house and places a 15-line
ad.
a. What will Jacqueline's ad cost to run for one week?
b. What will Jacqueline's ad cost to run for four weeks?
Answer:
a) $92.75
b) $371
Step-by-step explanation:
Let x = number of lines in the ad
Let x = total charge per week to run the ad
Given:
Charge per week for first 4 lines = $35Charge per week for each additional line = $5.25Create equations based on the given information:
y = 35 for x < 4
y = 35 + 5.25(x - 4) for x ≥ 4
Part (a)
Given:
Jacqueline's ad = 15 lines⇒ y = 35 + 5.25(15 - 4)
= 35 + 5.25(11)
= 35 + 57.75
= 92.75
So the ad will cost $92.75 to run for 1 week.
Part (b)
Cost to run the ad for 4 weeks = 4 × cost of 1 week
= 4 × 92.75
= $371
A local hamburger shop sold a combined total of 394 hamburgers and cheeseburgers on Wednesday. There were 56 fewer cheeseburgers sold than hamburgers. How many hamburgers were sold on Wednesday?
Answer:
Step-by-step explanation:
Total number of Hamburgers and Cheeseburgers = 394
Let the number of hamburgers = x
x + x - 56 = 394 Combine the left
2x - 56 = 394 Add 56 to both sides
2x - 56 + 56 = 394 + 56 Combine
2x = 450 Divide both sides by 2
2x/2 = 450/2
x = 225
Answer
225 hamburgers were sold169 Cheeseburgers solda sector has radius 14 in central angle 120 find the area of the sector
Answer:
205.25072
Step-by-step explanation:
1. A(sector)=x/360πr^2
2. A(sector)=120/360π(14^2)
3. A(sector)=1/3π(196)
4. A(sector)=205.25072
5. Round as necessary
pls answer (10 points given)
Answer:
C
Step-by-step explanation:
Its not greater than or equal to and its less than 6.
Answer:
A. x < 3
Step-by-step explanation:
2x < 6
Simplify:
2x < 6 <== divide both sides by 2
/2 /2
x < 3
Rules:
Open circle: < (going left) or > (going right)
Closed circle: ≤ (going left) or ≥ (going right)
For our answer: x < 3
It would be an open circle going left. The only number line that illustrates this is line A.
Hope this helps!
1. What is the center of dilation used to dilate quadrilateral WXYZ to quadrilateral W'X'Y'Z'?
A. (-1,3)
B. (0,0)
C. (-3,4)
D. (-1,0)
Answer: I believe the answer is C. (-3,4)
Step-by-step explanation:
15. What effect does reducing sample size have on s?
standard deviation and margin of error?
Step-by-step explanation:
I don't know I don't know this answer really I don't know this and so sorry sorry sorry sorry
Please help ASAP
Find all the values of k so that the quadratic expression factors into two binomials. Explain the process used to find the values.
3x^2 + kx - 8
Answer:
Any value of kStep-by-step explanation:
The quadratic expression can be factored into two binomials if it has two real roots.
Two real roots possible with non-negative discriminant:
D ≥ 0As D = b² - 4ac, we get the following inequality
k² - 4(3)(-8) ≥ 0k² + 96 ≥ 0k² ≥ - 96This is true for any value of k
k ∈ (- ∞, + ∞)Answer:
(-∞, ∞) or [tex]k \in \mathbb{R}[/tex]
Step-by-step explanation:
Binomial: two terms connected by a plus or minus sign.
Discriminant
[tex]b^2-4ac\quad\textsf{when}\:ax^2+bx+c=0[/tex]
[tex]\textsf{when }\:b^2-4ac > 0 \implies \textsf{two real roots}[/tex]
[tex]\textsf{when }\:b^2-4ac=0 \implies \textsf{one real root}[/tex]
[tex]\textsf{when }\:b^2-4ac < 0 \implies \textsf{no real roots}[/tex]
If a quadratic expression factors into two binomials, it will have two real roots. Therefore, the discriminant will be greater than zero.
Given quadratic expression:
[tex]3x^2+kx-8[/tex]
[tex]\implies a=3, \quad b=k, \quad c=-8[/tex]
Substitute the values of a, b and c into the discriminant, set it to > 0:
[tex]\implies k^2-4(3)(-8) > 0[/tex]
[tex]\implies k^2+96 > 0[/tex]
As k² ≥ 0 for all real numbers,
[tex]\implies k^2+96 \geq 96[/tex]
Therefore, the values of k are (-∞, ∞) or [tex]k \in \mathbb{R}[/tex]
Please help me ASAP.
The 3 inside angles of a triangle need to equal 180.
X = 180 - 70 - 20 = 90
x = 90 degrees
will someone please help me?
Answer:
x=-1
Step-by-step explanation:
1.(-9-11)(-4)/-7^2+(11*2^2)
2. =-20/-4/-7^2+11(2^2)
3. =5/7^2+11(2^2)
4. =5/-49+11(2^2)
5. =5/-49+(11)(4)
6. = 5/-49+44
7.=5/-5
8. x=-1
Can the following set be the domain of an odd function?
(-3,-2)U(2,3)
Yes, the given set can be the domain of an odd function if:
f(-3) = -f(3)
f(-2) = -f(2).
What is the domain of a function?For a function y = f(x), we define the domain of the function as the set of possible values of x that we can input into the function.
And an odd function is a function such that:
f(-x) = -f(x).
In this case, we want to see if the set:
(-3,-2)U(2,3) = (-3, -2, 2, 3)
can be the domain.
It would only be the domain of an odd function if:
f(-3) = -f(3)
f(-2) = -f(2).
If you want to learn more about odd functions, you can read:
https://brainly.com/question/1561362
Use the calculator to find the product of 4.17 and 2.3 × 106. Which statements are true about finding the product? Check all that apply.
4.17 is equivalent to 4.17 × 100.
4.17 is equivalent to 4.17 × 101.
The product has a positive exponent.
The coefficient is 6.
The E in the product is the indicator that the solution is in scientific notation.
The exponent of the product is the product of the original exponents.
PLSSS HELP
Answer:
I'm assuming that "106" is really 10^6Step-by-step explanation:
4.17 is equivalent to 4.17 × 100. NO 4.17 x 100 = 417
[If this is really 4.17 is equivalent to 4.17 × 10^0. Then YES. 10^0 = 1]
4.17 is equivalent to 4.17 × 101. NO 4.17 x 101 = 421.17
Again, if this is 10^1, then no. 10^1 = 10
The product has a positive exponent. YES
The coefficient is 6.
Coefficient? NO. Exponent? Then YES
The E in the product is the indicator that the solution is in scientific notation. YES 4.17E6 is 4.17 x 10^6
The exponent of the product is the product of the original exponents.
NO. In multiplication, the exponents are added (as long as they have the same base)
EDGE 2022
help me pls i really need help
Step-by-step explanation:
m<2: 65°( vertically opposite angle)
m<3: 180°-65°=115°(sum of straight line)
m<4: 180°- 65° = 115° (sum of straight line)
Draw a line between 5 and 6.m<5: 180°- m<7=180-115=65
m<7 = m<4=115°(corresponding angle)
m<8 = m<5 =65°(vertically opposite angle)
m<6=m<7=115°( vertically opposite angle)
in this way 10,11,12 will be find.
Please feel free to ask if you have any questionsPlease Mark me as Brainliest .
Thanks
Step-by-step explanation:
correct this answer
mark a brain less
what is the area,in the square units,of the rectangle?
Step-by-step explanation:
[tex]area = l \times b[/tex]
[tex]area = \frac{3}{7} \times \frac{2}{9} [/tex]
[tex]area = \frac{6}{64} [/tex]
[tex]area = 0.09375units ^{2} [/tex]
The box-and-whisker plot below
represents some data set. What is the value of the first quartile?
Answer: 77 is right.
Step-by-step explanation:
In the given box-and-whisker plot, the value of first quartile is 85.
What is a box and whisker plot?A box and whisker plot—also called a box plot—displays the five-number summary of a set of data. The five-number summary is the minimum, first quartile, median, third quartile, and maximum. In a box plot, we draw a box from the first quartile to the third quartile. A vertical line goes through the box at the median.
From the given box and whisker plot,
Minimum=77
Maximum=92
First Quartile=85
Median=87
Third Quartile=89
Therefore, in the given box-and-whisker plot, the value of first quartile is 85.
Learn more about the box plot here:
https://brainly.com/question/1523909.
#SPJ2
If f(x) = x-3/x and g(x) = 5x-4, what is the domain of (f•g)(x)?
Answer: x cannot equal 4/5 (3rd choice)
Step-by-step explanation:
f(g(x)) = f(5x-4)
plug 5x-4 into all values of x in the f(x) equation
f(5x-4)= ((5x-4) - 3))/ (5x-4)
f(5x-4) = (5x-7)/(5x-4)
set denom = 0 and solve for x to find domain
5x-4 = 0
5x = 4
x = (4/5)
x cannot equal (4/5)
Determine the value of the angle.
Angle BDC=
90°-53°=37°
The whole angle is right angled