Answer:
m∠ABC = 68°
m∠DEF = 112°
Step-by-step explanation:
Supplementary angles are angles that add up to 180 degrees (they form a straight line).
If ∠ABC and ∠DEF are supplementary, that means that they add up to 180. We can write this in an equation:
(6x + 8) + (12x - 8) = 180Combine like terms.
18x = 180Divide both sides by 18.
x = 10Find the measure of each angle by substituting 10 for x into both expressions for the angles.
m∠ABC = (6x + 8)°
6(10) + 8 = 68°m∠DEF = (12x - 8)°
12(10) - 8 = 112°→ (6x + 8) + (12x - 8) = 180°
→ 6x + 8 + 12x - 8 = 180°
→ 18x = 180°
→ x = 180 ÷ 18
→ x = 10°
Now, we are given that m∠ABC = (6x+8) just subsitute the value of x in it .
→ m∠ABC = (6x + 8)
→ m∠ABC = (6 × 10 + 8)
→ m∠ABC = 60 + 8
→ m∠ABC = 68°
Similarly, subsitute the value of x in m∠DEF = (12x - 8)° we get :
→ m∠DEF = (12x - 8)°
→ m∠DEF = (12 × 10 - 8)
→ m∠DEF = 120 - 8
→ m∠DEF = 112°
If nuts cost $9.20 per pound, how much would 2 1/2 pound cost?
HURRY I NEED HELP
Does the graph shown below represent Y as a linear function of x
Yes or No
Answer:
no
Step-by-step explanation:
linear functions have straight lines
so this is not a linear function
Simplify fully V8 x V18
Answer:
12
Step-by-step explanation:
·[tex]\sqrt{8}[/tex]×[tex]\sqrt{18}[/tex]=[tex]\sqrt{144}[/tex]
[tex]\sqrt{144}[/tex]=12
Answer:
12
Step-by-step explanation:
Using the rule of radicals
[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex] and [tex]\sqrt{a}[/tex] × [tex]\sqrt{a}[/tex] = a
Given
[tex]\sqrt{8}[/tex] × [tex]\sqrt{18}[/tex]
Simplifying each radical
[tex]\sqrt{8}[/tex] = [tex]\sqrt{4(2)}[/tex] = [tex]\sqrt{4}[/tex] × [tex]\sqrt{2}[/tex] = 2[tex]\sqrt{2}[/tex]
[tex]\sqrt{18}[/tex] = [tex]\sqrt{9(2)}[/tex] = [tex]\sqrt{9}[/tex] × [tex]\sqrt{2}[/tex] = 3[tex]\sqrt{2}[/tex]
Thus
[tex]\sqrt{8}[/tex] × [tex]\sqrt{18}[/tex]
= 2[tex]\sqrt{2}[/tex] × 3[tex]\sqrt{2}[/tex]
= 2 × 3 × [tex]\sqrt{2}[/tex] × [tex]\sqrt{2}[/tex]
= 6 × 2
= 12
I just need number 32 and 33 please show work if you can
Step-by-step explanation:
Interior angle + Exterior angle = 180°.
Size of Interior angle = 180° - 360°/n.
Question 32:
Exterior angle = 72°
Interior angle = 180° - 72° = 108°.
Therefore 180° - 360°/n = 108°, n = 5 => 5 sides.
Question 33:
Exterior angle = 36°
Interior angle = 180° - 36° = 144°.
Therefore 180° - 360°/n = 144°, n = 10 => 10 sides.
Answer: 32.) 108°. 5 sides
33.) 144°. 10 sides
Step-by-step explanation:
To find an interior angle subtract the given exterior angle from 180.
180 - 72 = 108
180 - 36 = 144
To find the number of sides of a regular polygon, divide 360 by the exterior angle.
360/72 = 5
360/36 = 10
help plz answer thank you
Identify the solid produced by rotating the figure around the given axis.
Answer:
4
Step-by-step explanation:
The solid produced by rotating the figure around the given axis is a cone.
Step-by-step explanation:
A solid is a 3-dimensional structure obtained by rotating the 2-dimensional figure at a given axis.
The line or axis at which the given figure is rotated is known as the axis of revolution.
Given:
A right-angle triangle
To find :
Solid produced by rotating the given figure.
Solution:
When we rotate the given figure as shown in the image, we will obtain a solid known as a cone.
The solid produced by rotating the figure around the given axis is a cone.
Learn more about solid here:
brainly.com/question/3845281?referrer=searchResults
Can you put any variable in a equation?
Answer:
no at least i don't think u can because i usually use it in lets say 4x5=n
and the question would say solve for n.
Step-by-step explanation:
Mike created a cone that has a diameter of 8 feet and a height of 3 feet. Find the volume of this cone.
Answer:
V= 50.27
Step-by-step explanation:
V=(3.14)4^2(3/3)
50.27
The volume of the cone created by mike with diameter of 3 feet is 50.24 feet³
Volume of cone-based problem:What information do we have?
Diameter of cone = 8 feet
Height of cone = 3 feet
Radius of cone = 8 / 2
Radius of cone = 4 feet
Volume of cone = (1/3)(π)(r²)(h)
Volume of cone = (1/3)(3.14)(4²)(3)
Volume of cone = (1/3)(3.14)(16)(3)
Volume of cone = 50.24 feet³
Find out more information about 'Cone'.
https://brainly.com/question/16394302?referrer=searchResults
Please Help! It’s due today!
Answer:
1) I know that the sum will be negative because a negative number added to another negative number will still be a negative number.
2) First, I simplified -35 + (-61) to -35 - 61, which just equals -96.
-54 + 17 equals 54-17 = 37.
-96 < 37, so -35 + (-61) is less.
Step-by-step explanation:
The explanation is in the answer section, since your homework asked for me to explain.
HELP PLZ
If a triangle has vertices A (-5, 1), B (3, 5) and C (2, -3),
A. find each side length
B. classify the triangle based on the sides
Answer:
the answer is 28 for A the answer for B is -5 for A, 15 for B, and -6 for C
Step-by-step explanation:
Find 2a for a = 3 1/4. 23 1/4 6 1/4 6 1/2 5 1/2
Answer:
6 [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
you are adding 3 1/4 to 3 1/4 which is 6 2/4 or 6 1/2
or you can multiply 13/4 by 2 to get 26/4 or 13/2 which, again, is 6 1/2
The number of penguins in Antarctica decreased by 30% between last year and this year. Last year there were 650 penguins. What is the population this year?
9514 1404 393
Answer:
455
Step-by-step explanation:
The decrease was 30% of 650, or ...
0.30 · 650 = 195
So, the population this year is ...
650 -195 = 455
Answer:
455 Penguins
Step-by-step explanation:
1.) 650 x 0.30 = 195
2.) 650 - 195 = 455
Final answer: 455 Penguins
Hope this helped!
What is a fraction equal to 2/3? *
Answer:
Here are multiple :)
4/6
6/9
8/12
10/15
12/18
14/21
16/24
Hope this helped!
Answer:
2/3 | 4/6 | 8/12 | 16/24 | 6/9 | 10/15 | 14/21 | 16/24 | 18/27 | 20/30
Write the function a a product of linear factor by grouping or using the x method or a combination of both
g(x) = x2 - 9
[tex]\boxed{\boxed{\pink{\sf Option \ A \ is \ correct .}}}[/tex]
Step-by-step explanation:Given function to us is :-
[tex]\bf \implies g(x) = x^2 - 9 [/tex]
And we , need to write the function a a product of linear factor by grouping or using the x method or a combination of both . So let's factorise this ,
[tex]\bf \implies g(x) = x^2 - 9 \\\\\bf\implies g(x) = x^2-3^2\\\\\bf\implies \boxed{\red{\bf g(x) = (x+3)(x-3) }}\:\:\bigg\lgroup \blue{\tt Using \ (a+b)(a-b) \ = a^2-b^2 }\bigg\rgroup [/tex]
I have also attached the graph of x²-9.
Hence option A is correct .
Write 8 x 10^-4 in standard notation.
Answer:
0.0008
Step-by-step explanation:
[tex]8 \times {10}^{ - 4} = 0.0008[/tex]
Express in the form 1:1.
Give 12 as a fully simplified fraction
8:6
Step-by-step explanation:
[tex] \frac{1}{1} = 1:1[/tex]
[tex] \frac{2}{2} = 1:1[/tex]
[tex] \frac{3}{3} = 1:1[/tex]
[tex] \frac{4}{4} = 1:1[/tex]
[tex] \frac{5}{5} = 1:1[/tex]
[tex] \frac{6}{6} = 1:1[/tex]
[tex] \frac{7}{7} = 1:1[/tex]
[tex] \frac{8}{8} = 1:1[/tex]
[tex] \frac{9}{9} = 1:1[/tex]
[tex] \frac{10}{10} = 1:1[/tex]
[tex] \frac{11}{11 } = 1:1[/tex]
[tex] \frac{12}{12} = 1:1[/tex]
Expand and simplify
(x + 3)(x + 5)
Answer:
x^2+8x+15 this is it simplified
Can anyone help solve this?
Answer: m∠XYQ = 122°
Step-by-step explanation:
m∠XYQ + m∠QYZ = 180°
(10a + 2) + (5a - 2) = 180
15a = 180
a = 12
m∠XYQ = 10a + 2
m∠XYQ = 10 (12) + 2 = 122
m∠XYQ = 122°
The table of ordered pairs shows the coordinates of the two points on the
graph of a function. Which equation describes the function?
Answer:
[tex]y=\frac{-1}{2} x+1[/tex]
Step-by-step explanation:
In this case , we'll have to carry out several steps to find the solution.
Step 01:
Data
x y
-2 2
4 -1
Equation of the line =?
Step 02:
Equation of the line
Slope formula:
[tex]m=\frac{y2-y1}{x2-x1} =\frac{-1-(2)}{4-(-2)}=\frac{-3}{4+2} =\frac{-3}{6} =\frac{-1}{2}[/tex]
Point-slope form of the line
[tex](y-y1)=m(x-x1)[/tex]
[tex](y-2) =\frac{-1}{2}(x-(-2))\\y=\frac{-1}{2} x-\frac{2}{2}+2\\y=\frac{-1}{2}x-1 +2\\\\y=\frac{-1}{2} x+1[/tex]
The answer is:
The equation of the line is [tex]y=\frac{-1}{2} x+1[/tex]
PLEASE MARK ME AS BRAINLIEST
Eliza makes handmade ornaments. It takes her 4 hours to make 18 ornaments. How many ornaments can she make in
14 hours?
Answer: She makes 63 ornaments in 14 hours
Step-by-step explanation:
4 = 18
14 = x
Cross multiplication
4x = 18 x 14
4x = 252
x = 63
Answer:
She can make 63 ornaments in 4 hours
Step-by-step explanation:
she makes 4.5 in a hour so just times that by 14
An airplane flew 1100 miles in 2.5 hours. How
fast was it flying in miles per hour?
Answer:
fast
Step-by-step explanation:
if 2t2 eqauls 4 then wah t is 2t4
Use the distributive property to evaluate the following expression: 9x (4 + 9)
Answer:
117x.
This is because since the 9 is outside the parenthesis, it applies to everything inside. 9x * 4 =36x and 9x * 9 =81x
36x+81x=117x.
Answer:
117x
Step-by-step explanation:
Which set of numbers could represent the lengths of the sides of a right triangle?
O 16, 32, 36
O 8, 12, 16
O 3,4, 5
O 9, 10,
Answer:
3,4,5
Step-by-step explanation:
Here, we want to select the set that could work and the sides of a right angled triangle
the correct answer is 3,4,5
These set are called a Pythagorean triple
This is because adding the square of the two smaller number will give the square of the largest number
What we are saying here is that by adding the square of 3 and 4, we get the square of 5 which illustrates that Pythagoras theorem works for the set
Off the 300 television sets sold at an electronics store last month, 90 were flat screen TVs . What is the ratio of the flat screen TVs to TVs sold last month ( geometry)
Answer:
3/7 is the correct answer
Step-by-step explanation:
Answer:
my answer is that is 3/7 because look at the question and you will see what i mean.
Step-by-step explanation:
The ratio of children to adults in a supermarket is 1 : 5
There are 15 children in the supermarket.
How many adults are in the supermarket?
pls answer quickly thanks :)
Answer: There are 75 Adults in the supermarket ask me why if you want a full on explanation. The full on reason of why it is 75 is because if you have a ratio of 1:5 and you now the one is for the kids and it is 15. Then you add 15 from 1 until you get to the 5th ratio. Hence, it brings you all the way to 75 adults. I hope this helped you, and anyone else
Step-by-step explanation:
plss
s
s
ss
s
d
d
d
d
d
d
d
d
d
d
s
s
s
Answer:
$6,600
Step-by-step explanation:
231/0.035= 6,600
Nina Milling assembles transistor radios. she is paid $0.54 for each radio assembled during a regular work week, $0.62 for each radio assembled on on sundays. What is Nina's total pay for a week in which she assembled the following number of radios?
Answer:
I would need to know the number of radios she made each day.
Step-by-step explanation:
lets say she assembled 2 radios a day, which means we would do 0.54 x 2 (that would be 1.08) and then times it by 6 ***not incuding sunday***
you would get $6.48
then for sunday we would do 0.62 x 2 (that would be 1.24) .
now we add 6.48 and 1.24 to get $7.72 a week.
Which fraction and decimal forms match the long division problem?
A.4/15 and 0.26
B.4/15 and 0.26
C.15/4 and 0.266
D.15/4 and 0.26
Answer:
C would be the correct answer. :D
on the grid draw the graph of y = 3x + 2 for values of x + 2 for values of x from -2 to 2
Answer:
The required graph is shown below.
Step-by-step explanation:
Consider the provided equation [tex]y=3x+2[/tex]
We need to draw the graph of the equation.
Put x=0 in the above equation.
[tex]y=3(0)+2[/tex]
[tex]y=2[/tex]
The coordinate is (0,2).
Put y=0 in the given equation.
[tex]0=3x+2[/tex]
[tex]-2=3x[/tex]
[tex]x=\frac{-2}{3}[/tex]
The coordinate is ([tex]\frac{-2}{3}[/tex],0).
Now draw the graph by using the above coordinates.
The required graph is shown below.