The quadrilateral is cyclic, because the angle that the tangent and the radius meet forms a right angle. Since the two opposite angles are 90° each, they form a 180° summation. Thus, the four points are cyclic.
Now, the smaller ∠O is 135, which means x is 180 - 135 because the four points are concyclic. Thus ∠O + x = 180°
Hence, x = 180 - 135 = 45°
∴ x = 45°
D is the correct answer bc the 3’s continue forever
Answer: 71
Step-by-step explanation:
Warmest - coldest
= -12 - (-83)
= -12 + 83
= 71
Step-by-step explanation:
5. 6x-8=9x+4
6x - 9x = 4+8
-3x = 12
x = -4
check, 6(-4) - 8=9(-4) + 4
-24-8 = -36+4
-32 = -32
6. 5a - 10 = 9a - 6
5a-9a = -6+10
-4a = 4
a = -1
check, 5(-1) -10 = 9(-1) -6
-5-10 = -9-6
-15 = -15
7. 8m-24 = 9-3m
8m + 3m = 9+24
11m = 33
m = 3
check, 8(3)-24 = 9- 3(3)
24-24 = 9-9
0 = 0
8. 10- 3z = z + 30
10-30 = z +3z
-20=4z
-5 = z
check, 10 - 3(-5) = (-5)+30
10+15 = 25
25=25
9. 3k - 14 = 10 +5k
3k - 5k = 10+14
-2k = 24
k = -12
check, 3(-12)-14 = 10+5(-12)
-36-14 = 10-60
-50 = -50
10. 6c + 8 = 2c -16
6c - 2c = -16-8
4c = -24
c = -6
check, 6(-6)+8 = 2(-6) - 16
-36 + 8 = -12 - 16
-28 = -28
4. It cannot be a constant or unit rate relationship because the value of k = y/x vary across table values.
5. The relationship in Tuesday's table can be described by a constant unit rate.
<h3>What is a Constant Unit rate Relationship?</h3>
A constant unit rate relationship can be described as a relationship between two input and output variables, x and y, in such a way that, k = y/x. "k" is the constant of proportionality of the relationship or the unit rate between the two variables.
4. We have the following:
5/20 = 1/4
10/40 = 1/4
12/60 = 1/5
14/80 = 7/40
16/100 = 4/25
Thus, this cannot be a constant or unit rate relationship because the value of k = y/x vary across table values.
5. 4/20 = 1/5
8/40 = 1/5
12/60 = 1/5
16/80 = 1/5
20/100 = 1/5
Thus, the value of k is the same across all table values, therefore, the relationship in Tuesday's table can be described by a constant unit rate.
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