Answer:
Step-by-step explanation:
angles in triangle = 180
1. 180 - (70+45) = x = 65
2. x = 35
180 - 110 = 70
70/2 = 35 (isosceles triangle)
3. x = 113, y = 67
180 - (62 + 51) = y = 67
Angles on a line = 180
180 - 67 = x = 113
4. x = 60, y = 50
x = 180 - 120 = 60
y = 180 - (60 + 70) = 50
answers in degrees.
To find the measure of angle a, subtract 151 from 180. (Reason: line w equals 180º, and the second angle is the same size as the 151º angle.)
180 - 151 = 29
<h2>Answer:</h2>
<u>Angle a = </u><u>29º</u>
Answer:
P = 0.332
Step-by-step explanation:
The probability of having the disease is 0.08
The probability that the test predicts with accuracy is 0.7.
We need to find the probability that the test positive for the disease.
Several cases may occur.
Case 1.
You have the disease and the test predicts it accurately
Case 2
You do not have the disease and the test predicts that you have it
Then the probability that the test predicts that you have the disease is the union of both probabilities P1 and P2
Answer:
D) q + d = 330
0.25q + 0.1d = 6
Step-by-step explanation:
Let q= numbers of quarters
d = number of dimes
q + d = 33 ...........(1)
q = 33 - d
xq + yd = 6 ..........(2)
We will consider the options to know the correct answer
From option A
q +d = 6
25q + 10d = 33
This is wrong
Option B
q + d = 60
0.25q + 0.1d = 33
This is also wrong
Option C
q+d = 33
25q + 10d = 6
Put q = 33 -d in equation 2
25(33 - d) + 10q = 6
825 - 25d + 10d = 6
825 - 15d = 6
-15d = 6-825
-15d = -819
d = -819/-15
d= 54.6
This is also wrong because d exceeds the combination.
Option D
q+d = 33
0.25q + 0.1d = 6
Put q = 33 -d in equation 2
0.25(33 - d) + 0.1d = 6
8.25 - 0.25d + 0.1d = 6
8.25 - 0.15d = 6
-0.15d = 6 - 8.25
-0.15d = -2.25
d = -2.25/ -0.15
d = 15
q = 33 - 15
q = 18
This is correct
