The measure of the coterminal angle is 100°.
We know that for an angle A, all the coterminal angles B are of the form:
B = A + n*360°
Where n is an integer number.
Then we must find M such that:
M = -620° + n*360°
and:
0 < M < 360°
Notice that if we take n = 2 we get:
M = -620° + 2*360° = 100°
The measure of angle M is 100°
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We know that if Two Complex Numbers (p + qi) and (a + bi) are said to be Equal then (p = a) and (q = b)
Given : (2x + 5) + (1 - y)i = -3 - 4i
⇒ 2x + 5 = -3
⇒ 2x = -3 - 5
⇒ 2x = -8
⇒ x = -4
Option 2 is the Answer
2x + 5 + i - yi = -3 - 4i
2x - yi = -8 - 5i
2x = -8 - 5i - yi
2x = -8 -i(5-y)
2(-4) = -8 -i(5-y)
0 = -i(5-y)
0 = 5 - y
-y = -5
y = 5
If x = -4, y is a real number.
The length of that altitude is 5 cm.
Explanation
According to the below diagram, is a parallelogram with diagonal as its altitude.
Suppose, the length of side is cm.
As the length of one side is 1 cm longer than the length of the other, so the length of side will be:
Given that, the perimeter of the parallelogram is 50 cm. So, the equation will be.....
So, the length of is 12 cm and the length of is (12+1)= 13 cm.
Suppose, the length of the altitude() is cm.
Now, in right angle triangle , using Pythagorean theorem....
So, the length of that altitude is 5 cm.
Term
Definition
corresponding angles A) the constant by which a figure (or the dimensions of a figure) increases or decreases
scale factor B) corresponding sides of two similar triangles
proportional C) figures that have congruent angles and corresponding sides that are proportional to one another
similar polygons D) these corresponding parts are congruent, given two similar triangles
scale drawing E) a depiction of a real object with accurate sizes except they have all been reduced or enlarged
The compound inequalities for each number line is 18: −1≤x≤4 19: −3<x≤2 20: x<0 or (1≤x≤3) 21: (−4<x≤−6) or (−3<x≤0) 22: (3≤x<1) or (6<x<7) 23: (−3≤x≤−4) or (0<x<2).
let's break down the compound inequalities for each situation step by step:
18:
−1≤x≤4 (closed on both ends)
The notation ≤ means "less than or equal to," so
−1≤x indicates that
x can be equal to or greater than -1.
Likewise,
x≤4 means that
x can be equal to or less than 4.
Combining both inequalities, we have
−1≤x≤4, indicating that
x can take any value between -1 and 4, including -1 and 4.
19:
−3<x≤2 (open on the left end, closed on the right end)
The notation < means "less than," so −3<x indicates that
x must be greater than -3 but not equal to -3.
x≤2 means that
x can be equal to or less than 2.
Combining both inequalities, we have
−3<x≤2, indicating that x can take any value greater than -3 and up to and including 2. It's open at -3 but closed at 2.
20: x<0 or (1≤x≤3) (open on the left end, closed on the right end, with a gap between 0 and 1)
x<0 indicates that x must be less than 0.
(1≤x≤3) indicates that x can be equal to or greater than 1 and equal to or less than 3.
Combining these two inequalities with "or," we have
x<0 or
1≤x≤3, indicating that x can be less than 0 or take any value between 1 and 3, including 1 and 3.
21:
(−4<x≤−6) or
(−3<x≤0) (open on both ends with a gap between -3 and -4)
(−4<x≤−6) indicates that x must be greater than -4 but not equal to -4, and it can be equal to or less than -6.
(−3<x≤0) indicates that x must be greater than -3 but not equal to -3, and it can be equal to or less than 0.
Combining these two inequalities with "or," we have
(−4<x≤−6) or
(−3<x≤0), indicating that
x can take any value greater than -4 and up to -6, or greater than -3 and up to 0.
22:
(3≤x<1) or
(6<x<7) (closed on the left end, open on the right end, with a gap between 1 and 6)
(3≤x<1) indicates that x can be equal to or greater than 3 and less than 1.
(6<x<7) indicates that x must be greater than 6 and less than 7.
Combining these two inequalities with "or," we have
(3≤x<1) or (6<x<7), indicating that x can take any value equal to or greater than 3 and less than 1, or greater than 6 and less than 7.
23:
(−3≤x≤−4) or
(0<x<2) (closed on the left end, open on the right end, with a gap between -4 and 0)
(−3≤x≤−4) indicates that x can be equal to or greater than -3 and equal to or less than -4.
(0<x<2) indicates that
x must be greater than 0 but less than 2.
Combining these two inequalities with "or," we have
(−3≤x≤−4) or
(0<x<2), indicating that x can take any value equal to or greater than -3 and equal to or less than -4, or greater than 0 and less than 2.
These compound inequalities describe the ranges of values for x in each given situation on the number line.
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Answer:18-1 closed right 5
19-3 open right5
20 0 open left 1 3 closed right 1
21 -4 open left 2 -3 open right 3
22 3 close left 2 6 open right 1
23-3 open left 1 0 open right 2
Step-by-step explanation:
5.04 x 106
Answer:
53424
Step-by-step explanation:
that is the answer
Answer:
Yes.
Step-by-step explanation:
If you graph it you can see that they all the points match up to the perfect right triangle. You may have to rotate it to see it though. Point Z is the angle of the triangle that is the corner of the 90 degree triangle.