Answers
Step-by-step explanation:
✧ [tex] \underline{ \underline{ \large{ \tt{S \: O \: L \: U \: T \: I \: O \: N}}} }: [/tex]
Set up an equation and solve for x :⋆ [tex] \large{ \bf{(4x + 9) \degree = 2x \degree + (3x - 12) \degree}} [/tex] [ Exterior angle is always equal to the sum of two non - adjacent interior angles ]
~Remove the unnecessary brackets
⟶ [tex] \large{ \bf{4x \degree + 9 \degree = 2x \degree + 3x \degree - 12 \degree}}[/tex]
~Add the like terms : 2x ° & 3x°
⟶ [tex] \large{ \bf{4x \degree + 9 \degree = 5x \degree - 12 \degree}}[/tex]
~Move 4x to right hand side and change it's sign
~Similarly move 12 to left hand side and change it's sign
⟶ [tex] \large{ \bf{9 \degree + 12 \degree = 5x \degree - 4x \degree}}[/tex]
⟶ [tex] \large{ \bf{21 \degree = x \degree}}[/tex]
⟶ [tex]{ \large{ \bf{x = 21 \degree}}}[/tex]
Now , Substituting the value of x in (4x+9)° [ Exterior angle ]⤿ [tex] \large{ \bf{4 \times 21 \degree + 9 \degree}} = \boxed{93 \degree}[/tex]
☥ [tex] \boxed{ \boxed{ \large{ \tt{Our \: Final \: Answer : \boxed{ \underline { \tt{93\degree}}}}}}}[/tex]
Hope I helped ! ツ
Have a wonderful day / night ! ♡
❅ Let me know if you have any questions regarding my answer! ❅
☞ [tex] \underline{ \underline{ \mathfrak{Carry \: On \: Learning}}}[/tex] !! ✎
▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁
Answer:
exterior angle=4x+9=4×21+9=93
Step-by-step explanation:
2x+3x-12=4x+9 exterior angle is equal to the sum of two opposite interior angle of the triangle
5x-4x=12+9
x=21
Related Questions
Estimate the values to complete the table.
Answers
Answer:
Step-by-step explanation:
For angle C,
cos(∠C) = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex] = 0.97
sin(∠C) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex] = 0.26
tan(∠C) = [tex]\frac{\text{Adjacent side}}{\text{Adjacent side}}[/tex] = 0.27
Therefore, from the triangle ABC,
cos(∠A) = cos(90° - ∠C)
= sin(∠C)
= 0.26
sin(∠A) = sin(90 - ∠A)
= cos(∠A)
= 0.97
tan(∠A) = [tex]\frac{\text{sinA}}{\text{cosA}}=\frac{0.97}{0.26}[/tex]
= 3.73
Angle [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex] [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex] [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]
A 0.26 0.97 3.73
Find the Mean absolute deviation
45, 60,55, 20,15,10,30
Answers
Answer:
The mean is 30
write 20.5×10^-5 in standard form. please help
Answers
Answer:
the answer is 2.05×10^-4
PLZ HELP !!!! WILL MARK BRAINLIEST, THIS IS DUE IN 15 MINUTIES !!!ANYONE PLEASEPLZ HELP !!!! WILL MARK BRAINLIEST, THIS IS DUE IN 15 MINUTIES !!!ANYONE PLEASEPLZ HELP !!!!
Answers
Answer:
B
Step-by-step explanation:
B is correct...
If p=9 and q=30, evaluate the following expression:p−q/3
Answers
Answer:
-1
Step-by-step explanation:
p = 9
q = 30
p - q/3
9 - 30/3
9 - 10
-1
Jack invested $2,900 in an account paying an interest rate of 8 % compounded
annually. Anthony invested $2,900 in an account paying an interest rate of 82%
compounded continuously. After 10 years, how much more money would Anthony
have in his account than Jack, to the nearest dollar?
Answers
Answer: $628
Step-by-step explanation:
WILL GIVE BRAINLIEST
Answers
Answer: A. The compromise allowed California to join the United States as a free state but would allowed slavery in the southwestern territories.
Step-by-step explanation:
As the abolitionist North and the pro-slavery South saw their rivalry intensify with the lobbying by the South that slavery should be allowed in the western territories, Congress decided to pass the compromise of 1850 which was several acts that would calm both sides for the time being.
With this compromise, California was allowed to join the United States as a free state but in return, the Southwestern territories were allowed to decide their slavery status in an election which meant that if the territories so pleased, they could allow slavery in their territories.
The length of the base of an isosceles triangle is x. The length of a leg is 2x - 2. The perimeter of the triangle is 51. Find x.
Answers
Answer:
x = 11
Step-by-step explanation:
x + 2(2x-2) = 51
x + 4x - 4 = 51
5x - 4 = 51
5x = 55
x = 11
Answer:
x = 11
Step-by-step explanation:
2x - 2 + 2x - 2 + x = 51
5x - 4 = 51
5x = 55
x = 11
Can someone help me on this plzzz
Answers
Answer:
b=15
How I got it:
32 + (7x4) = 32 + 28 = 60
60 divided by 4 = 15
Checking:
15 - 7 = 8
8 x 4 = 32
32 = 32
You can tell b = 15 is the correct answer.
Determine which equation has the same solutions as the given equation.
x – 10k- 11=0
O A. (x-10)2 = 36
B. (x - 10)2 = 21
OC. (x - 5)2 = 21
OD. (x - 5)2 = 36
Answers
Answer:
D
Step-by-step explanation:
Vertical lines have _________ slope.
Answers
The line would be going straight but unmoving
Slope = rate of change
Vertical lines have undefined slope
PLEASE DONT WASTE MY POINTS ITS THE 5TH TIME POSTING
An economist calculates that the cost of living in Westminster is currently $44,000 per year and is increasing by 5% per year. What will the cost of living be in 20 years? Round to the nearest cent.
Answers
Given:
Initial cost of living = $44,000
Rate of increase = 5% = 0.05
To find:
The cost of living in 20 years.
Solution:
The exponential growth model is:
[tex]y=a(1+r)^t[/tex]
Where, a is the initial value, r is the growth rate and t is the number of years.
Putting [tex]a=44000,r=0.05, t=20[/tex] in the above model, we get
[tex]y=44000(1+0.05)^{20}[/tex]
[tex]y=44000(1.05)^{20}[/tex]
[tex]y=116745.099026 [/tex]
[tex]y\approx 116745.10 [/tex]
Therefore, the cost of living in 20 years is about $116745.10.
30 POINTSSSS ANSWER CORRECTLY THE LAST GUY TROLLED :/
Answers
Answer:
1.
A: Rectangular prism
B: Square pyramid
C: Triangular prism
2.
A: 82 square units
B: 48 square units
C: 48 square units (again)
Somehow Nets B & C have the same surface area.
Step-by-step explanation:
2A:
2(6 * 5) + 2(5) + 2(6)
2(30) + 10 + 12
60 + 22
82 square units
2B:
4((4 * 4)/2) + (4 * 4)
4(16/2) + 16
4(8) + 16
32 + 16
48 square units
2C:
2((3 * 4)/2) + (3 * 3) + (3 * 4) + (3 * 5)
2(12/2) + 9 + 12 + 15
12 + 9 + 27
12 + 36
48 square units
Please i need help ASAP
What is the range?
Answers
Answer:
your range is -9 to positive 5
Step-by-step explanation:
range is how many numbers are in a squence for example i have 1 2 3 so my range is 1-3
Ms. Nelson has 8 pounds of ground beef. She is making burgers that are ¼ pound each.
Answers
Answer:
she will make 32 burger patties.
One way:
8 x 4 = 32
the fraction will get reversed so it turns to 4.
Second way(basically the same as the first way):
8 divided by 1/4 = 8 x 4= 32
You just have to divide 8 by 1/4. The fraction gets reversed in divisions so it turns to 4.
Answer:
ok the answer is...
Step-by-step explanation:
32!!
the reason for this is because 1/4 + 1/4 + 1/4 + 1/4 = 4!
so do that again all over again 8 times and you have your answer.
I thought I could do this myself but failed, can someone please help me answer this and show work so I can know what to do for future reference. I would like to complete this seeing how this is my last question of the week.
Answers
Answer:
area: 1070
perimeter: 434 units
Step-by-step explanation:
area:
- use pythagoream theorem to find the height, which is gonna be 84
- from there, you're gonna wanna find the area of the rectangle and then the two triangles. the way i do it is by just finding the area of the rectangle first, 100x84 = 8400, and then finding the area of the triangles (35x84/2 = 1470 and 20x84/2 = 840)
- you have the area of all shapes, now just add them together (8400+1470+840 = 10710)
perimeter:
just add all the lengths given together.
Thank you to anyone who answers .
Answers
Answer:
last one
Step-by-step explanation:
You have 7 donuts to share evenly among you and your three brothers. Which equation describes how many donuts each of you will receive? Choose 1 answer: Choose 1 answer: 7÷4= 7/4 7÷3=7/3 3÷7=3/7 4÷7=4/7
Answers
Answer:
7/3
Step-by-step explanation:
Since you have seven donuts to share with three brothers, you can calculate that each one of you will get 2 donuts and there will be a spare one left. You know that you also have to share that one so you split it into thirds. 7/3 = 2 1/3
Hope I helped!
Brainliest? :o
Keywords: donuts, donut, brother, equation, receive
Does anyone wanna play iMessage games
Answers
yessss
lets
play
rn!!!!!!
Find the area of the smaller sector.
brainlest
Answers
Answer:
44.68 m²
Step-by-step explanation:
Area of a sector = θ/360*πr²
Where,
θ = 80°
r = 8 m
Plug in the values into the equation
Area of the sector = 80/360*π*8²
= 44.6804288 ≈ 44.68 m² (nearest hundredth)
George invested $18,500 five years ago and unfortunately the investment has been losing 6% of its value each year. What is the current value of his investment? Round to the nearest cent.
Answers
Answer:
$13,577.22
Step-by-step explanation:
Multiply 18,500 by 0.94 for each year
How does the value of the digit 3 in the number 63,297 compare to the value of the digit 3 in the number 60,325? Be sure to include what you know about the place value in your answer. How does the value of the digit 3 in the number 63,297 compare to the value of the digit 3 in the number 60,325? Be sure to include what you know about the place value in your answer.
Answers
Answer: See explanation
Step-by-step explanation:
The value of the digit 3 in the number 63,297 is 3,000 while the value of the digit 3 in the number 60,325 is 300.
The difference between value of the digit 3 in the number 63,297 and the value of the digit 3 in the number 60,325 will be:
= 3000 - 300
= 2700
Which expression is equivalent to2(t-4)+1
Answers
Answer:
2t-7
Step-by-step explanation:
2(t-4)+1
2t -8+1
2t - 7
Find the area of the following shapes.
Answers
Area of small rectange = 7 cm × 4 cm = 28 cm sq
Area of bigger rectangle = 4cm×10 cm = 40 cm sq
Area of traingle = 1/2 × 8*3 cm sq = 12 cm sq
total area of polygon = ( 28 + 40 + 12 ) cm sq
area of polygon = 80 cm sq
27 is 72% of what number?
Answers
Answer:
37.5
Step-by-step explanation:
37.5 · 0.72 = 27
Answer:
37.5
Step-by-step explanation:
72%=0.72
0.72x=27
x=27/0.72
x=37.5
what is the equivalent ratio for 3:4
Answers
Answer:
A ratio of 1/2 can be entered into the equivalent ratio calculator as 1:2. 2/10 would be 2:10, 3/4 would be 3:4 and so on.
Please help me i dont understand this
Answers
Answer:
209.3
Step-by-step explanation:
V=πr^2h / 3
= 3.14 x 25 x 8 /3
= 209.3
write an equation of the line in slope-intercept form of each line given slope and y intercept m=2;b2
Answers
Answer:
[tex]y = 2x + 2[/tex]
Step-by-step explanation:
Given
[tex]m = 2[/tex]
[tex]b = 2[/tex]
Required
Write equation in slope intercept form
An equation in slope intercept form is:
[tex]y = mx + b[/tex]
Substitute values for m and b
[tex]y = 2x + 2[/tex]
The sum of the measures
of the interior angles of
polygon is 2,880. How
many sides does the
polygon have?
Answers
Answer:
pretty sure its 18
Step-by-step explanation:
(PLEASE HELP)
Given are the lengths of two sides of a triangle.Find the range of lengths for the third side.7 ft,13 ft
A.less than 6 but more than 20
B.more than 20 but less than 6
C.more than 6 but less than 20
Answers
Answer:
A.less than 6 but more than 20