Answers
Answer:
[tex]\angle AFY=140^\circ[/tex]
[tex]\angle LIM=117^\circ[/tex]
Step-by-step explanation:
The sum of interior angles of a polygon of n sides is:
[tex]S=180^\circ (n-2)[/tex]
The image shows a 6-side polygon. The sum of the interior angles is:
[tex]S=180^\circ (6-2)=720^\circ[/tex]
The sum of all the shown interior angles must equal 900°:
[tex]125+100+y+117+121+y+23=720[/tex]
Simplifying:
[tex]486+2y=720[/tex]
Solving:
[tex]2y=720-486[/tex]
[tex]2y=234[/tex]
[tex]y=234 / 2=117[/tex]
y=117°
Thus the angle AFY is:
[tex]\angle AFY=y+23=117+23=140[/tex]
[tex]\boxed{\angle AFY=140^\circ}[/tex]
[tex]\angle LIM=y=117[/tex]
[tex]\boxed{\angle LIM=117^\circ}[/tex]
Related Questions
A scale drawing of an office space uses a scale of 1 in. : 4 yd. The scale drawing has an area of 12 square inches. What is the area of the actual office space?
Answers
Answer: 48 yards
Step-by-step explanation:
From the question, we are informed that a scale drawing of an office space uses a scale of 1 in. : 4 yd.
When the scale drawing has an area of 12 square inches, to get the area of the actual office space, we multiply the given number by 4 since the actual office space is 4× the scale drawing. This will be:
= 12 × 4 yards
= 48 yards
which posture or theorem proves that these two triangles are congruent
ASA Congruence
AAS Congruence Theorem
HL Congruence Theorem
SAS Congruence postulate
Answers
Answer:
AAS Congruence Theorem
the population of China is about 1.4 x 10 ^ 9 people. Julie grew up in a town with a population of about 7,000 people. How many times greater is the population of China than Julies town? Please answer this in scientific notation
Answers
Answer:
200000
Step-by-step explanation:
I believe that 200000x7000 = 1400000000 (The answer to the China population equation), therefore should be correct. Hope this helped.
please help 8(10+8)
Answers
Answer:
its 180.... that's the answer
Answer:
it is 80 + 64
Step-by-step explanation:
All you have to do is multiply 8 by the numbers inside the parenthesis
Simplify 4/9 - 5/12 + 1/4
Answers
Answer:
5/18
Step-by-step explanation:
The simplified answer is 5/18
Step-by-step explanation:
the answer is
0.27777777777
Please help me :( someone anybody just once I won’t ask again
Answers
Answer:
1) 77
2) -11
3) -11
4) 7
5) 29
Step-by-step explanation:
Just sub the x into the equation.
*I recommend checking my answers, but this is what I would put/
Solve for c.
2c^2 = 338
c = ?
c = ?
Answers
Answer:
C=13, -13
Have a wonderful day!!!
5.6 divided by 7
A:8
B:7
C.8
D.7
Other:
Answers
Answer:
C
Step-by-step explanation:
Dude, just look it up.
Help me please !!!!!!!!
Answers
Answer: Since x is 157 degrees the missing value,m, is 23 degrees because a line is 180 degrees, n is also 23 degrees so it would be the same
Step-by-step explanation:
brainliest and 60 points ;)
8 * 65 * 7 * 321 * 0 * 1=??
Answers
Answer: 0
Step-by-step explanation:
Any expression multiplied by 0 = 0
Please help me find the domain and range
Answers
Answer:
Domain: (-∞,-1) U (-1,∞)
Range: (-∞,1) U (0,∞)
What is the slope of the line that passes through the points (4, 6) and
(-16, -18)?
Answers
Answer:
-3 / 5
Step-by-step explanation:
18-6 / -16-4
12 / -16-4
12 / -20
-3 / 5
What is the y-intercept in this problem?
Answers
Answer:
(0, -1) I think
Step-by-step explanation:
I have not done this in a while
Hope this helps, though.
How do you work out 3^2+2^3 indices
Answers
3^2 +2^3
9+2^3
9+8
Answer : 17
I want the answer PLZ
Answers
Answer:
3
Step-by-step explanation:
They have the same side length and its shown
-8(s+4) = -60
What is the value of s?
Answers
Answer:
s = 3.5
Step-by-step explanation:
Lets begin by distributing -8 into the two values in the paranthesis, s and +4. By doing this, we get -8s -32 = -60
We can now take that -32 and bring it to the right side of the equation, making it now -8s = +32 -60
After simplyfing, we now have -8s = -28. Dividing -28 by -8 , we get positive 3.5.
Solve the system of equations using substitution.
- 4x + 4y= 8
y= -2x – 10
-
O (4, -18)
O (12, -34)
o(-4,-2)
O (-2,-6)
Answers
You substitute the value of Y
solve the equation then substitute
the value of X, then again Slove
Answer:
(- 4, - 2 )
Step-by-step explanation:
Given the 2 equations
- 4x + 4y = 8 → (1)
y = - 2x - 10 → (2)
Substitute y = - 2x - 10 into (1)
- 4x + 4(- 2x - 10) = 8 ← distribute and simplify left side
- 4x - 8x - 40 = 8
- 12x - 40 = 8 ( add 40 to both sides )
- 12x = 48 ( divide both sides by - 12 )
x = - 4
Substitute x = - 4 into (2) for corresponding value of y
y = - 2(- 4) - 10 = 8 - 10 = - 2
Solution is (- 4, - 2 )
values of x and y
to
135°
Answers
Step-by-step explanation:
Answer:
xy/100=135
xy=13500
x=13500/y
Does anyone know this!? Pick the one the correctly describes it!
If its correct ill mark you as the best answer!
Answers
Answer:
d- the slope is undefined
Step-by-step explanation:
Jenni works at a salon and earns a 15% commission on her total sales. How much
must she sell in total in order to earn $90 in one day?
Answers
Answer:
$600
Step-by-step explanation:
90/0.15
please help me with this! thank you so much!
Answers
Answer: Look at the photo
Step-by-step explanation:
[tex](3x + 3) + (4x + 2) = 180\\7x + 5 = 180\\[/tex]
Substract 5 from both sides
[tex]7x = 175[/tex]
Divide by 7 from both sides
x = 25
-3x -3x
3=1x+2
-2 -2
1=x
That’s how you get x
3•1 +3 = 6
4•1 + 2 =6
I’m pretty sure that’s right it’s been a minute
What is x equal to? And what is the scale factor?
Answers
Answer:
1. 225 km
2. 95 km
3. 412.5 km
Step-by-step explanation:
For this one, it is saying that for every 2 cm, that is 50 km. So if you look at 9 cm, you can divide that by 2 cm to get 4.5 cm, this is what you can multiply by 50 km to get 225. Or you can look at it this way, for every 1 cm, the actual distance is 25 km. Then you can multiply each value by 25 to get your answer. Whichever one works for you.
Consider a geometric sequence with a first term of 4 and a fourth term of -2.916.
a) Find the common ratio of this sequence.
b) Find the sum to infinity of this sequence.
Answers
Answer:
a) Find the common ratio of this sequence.
Answer: -0.82
b) Find the sum to infinity of this sequence.
Answer: 2.2
Step-by-step explanation:
nth term in geometric series is given by [tex]4\ th \ term = ar^n-1\\-2.196 = 4r^{4-1} \\-2.196/4 = r^{3} \\r = \sqrt[3]{0.549} \\r = 0.82[/tex]
where
a is the first term
r is the common ratio and
n is the nth term
_________________________________
given
a = 4
4th term = -2.196
let
common ratio of this sequence. be r
[tex]4\ th \ term = ar^n-1\\-2.196 = 4r^{4-1} \\-2.196/4 = r^{3} \\r = \sqrt[3]{-0.549} \\r = -0.82[/tex]
a) Find the common ratio of this sequence.
answer: -0.82
sum of infinity of geometric sequence is given by = a/(1-r)
thus,
sum to infinity of this sequence = 4/(1-(-0.82) = 4/1.82 = 2.2
Tara buys clay in a tube that is 2 feet long.
She is making clay fl owers and each fl ower
requires __
3
4 foot of clay. How many whole
fl owers can Tara make from the tube of
clay? Tara used the following model to
help her solve the problem.
Answers
Simplify (1/2)^4.......................................................................
Answers
Answer:
[tex]-1/16[/tex]
Step-by-step explanation:
Answer:
1/16
Step-by-step explanation:
(1/2 × 1/2 × 1/2 × 1×2)
(1/4 × 1/4)
(1/16)
Which list shows the absolute values in order form least to greatest?
Answers
What is the value of x
Answers
Answer:
98 degrees
Step-by-step explanation:
First calculate the entire triangles angles:
180 - 53 - 45 = final angle of triangle
82 = final angle of triangle
Using the straight line rule for angles, x and the inner angle must equal to 180 degrees:
180 - 82 = x
98 = x
Angle x is 98 degrees.
x+6y=-36 solve for y
Answers
Answer:
y=−1/6x−6
Step-by-step explanation:
264 equals the sum of 96 and t
Write the sentence as an equation.
Answers
Answer:
96+t=264
Step-by-step explanation:
No explanation needed!
Plz help I don’t get what this is
Answers
Answer:
A) 98.94 sq. meters
B) 42 sq. meters
Step-by-step explanation:
A) So first we calculate the area for the square which is 15*20 = 300. Then we calculate the area of the circle which is pi*r^2 and in this case the radius is 4 which is 1/2 of 8. The area is approx. 201.06. Then we subtract that from 300. 300-201.06 = 98.94. The answer for A) is approx. 98.94
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
B)First we calculate the area of the whole square which is 8*6 = 48. Then the area of the garden which is 2*3 = 6. 48-6 = 42. The answer is B) is 42 then.