Lines g, h, and l are parallel and m< 2 = 129°. What is m 12?
A.
51°
B.
61°
C.
129°
D.
151°
Answers
Answer:
option:A is correct.
Step-by-step explanation:
Since g,h and l are parallel lines and a line intersect these 3 lines making angles 1,2,....12.
By looking at the figure we could say that
∠2=∠6 since they are pair of corresponding angles.
Hence ∠6=129°
similarly ∠6=∠10 as they are also pair of corresponding angles.
Hence ∠10=129°
Now we know that ∠10+∠12=180° .
(since both the angles lie on a straight line)
129°+∠12=180°
∠12=180°-129°
∠12=51°
Hence option A is correct.(i.e. measure of ∠12 is 51°)
Hope this helps :)
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Answers
Answer:
8.
The sides given relative to angle x is the adjacent and opposite side. We can find x by using a trig function.
When using the adjacent and opposite sides, we use tangent.
The tan. of an angle, in this case x, is the opposite side over the adjacent side.
tan x=6/15
x=arc tan 6/15≈22
9.
cos 33°
You can use a calculator for this
10.
Because sin and cos are cofunctions, you can get x by doing 90-35=55°
z=55°
Answers
Both are straight lines.
Both slopes are the same.
The x and y intercepts are different.
Hope that helps :)
Answer: y = -2/3x + 490
Step-by-step explanation:
2x +3y = 1470
Slope intercept form definition: y = mx + b is the slope-intercept form of a line where m is the slope and b is the y-intercept.
2x + 3y = 1470
2x + 3y -2x = 1470 - 2x - Subtract 2x from both sides
3y = 1470 - 2x - Simplify
3y/3 = 1470/3 - 2x/3 - Divide both sides by 3
y = -2/3x + 490 - Simplify
-⅔ is the slope and 490 is the y-intercept
A) 222
B) 111
C) 224
D) 116
Answers
Answer:
A = 222 units^2
Step-by-step explanation:
To find the area of this trapezoid, first draw an imaginary horizontal line parallel to AD and connecting C with AB (Call this point E). Below this line we have the triangle CEB with hypotenuse 13 units and vertical side (21 - 16) units, or 5 units. Then the width of the entire figure shown can be obtainied using the Pythagorean Theorem:
(5 units)^2 + CE^2 = (13 units)^2, or 25 + CE^2 = 169. Solving this for CE, we get |CE| = 12.
The area of this trapezoid is
A = (average vertical length)(width), which here is:
(21 + 16) units
A = --------------------- * (12 units), which simplifies to:
2
A = (37/2 units)(12 units) = A = 37*6 units = A = 222 units^2
Answers
Answer:
1543 miles
Step-by-step explanation:
629 + 215 + 111 + 588 = 1543
Answers
The value of the expression √125 will be 5√5.
We can first represent 125 as the product of its prime components in order to simplify the square root of that number. 5 x 5 x 5 is the prime factorization of 125. The quantity that, when multiplied by itself, equals 125 is known as the square root of 125. We may claim that the square root of 125 is 5√5, as 5 x 5 = 25, and 25 x 5 = 125.
Using the principle that the square root of a perfect square is the number itself, we may further reduce the square root of 125. Since 25 is a perfect square in this instance, its square root is just 5. Therefore, 5 √5 may also be used to represent the square root of 125.
More about the Algebra link is given below.
#SPJ6
as 125=5^3
√125=5√5
Answers
16/20 can be reduced.
x/5 = 4/5
x = 4