Answer:
∠ b = 12°
Step-by-step explanation:
Complementary angles sum to 90°, thus
a + b = 90 ← substitute a = 78
78 + b = 90 ( subtract 78 from both sides )
b = 12
That is ∠ b = 12°
Answer:
∠AEB = 62°
∠CED = 62°
∠CDE = 36°
Step-by-step explanation:
Answer:
About 786 would be expected to yield more than 180 bushels of corn per acre
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean and standard deviation , the zscore of a measure X is given by:
Solving this problem will require a system of equations. Since it's already assigned variables, we can make the equations. They are as follows.
x + y = 13 (The sum of the two numbers, x and y, is 13.)
2x - 3y = 1 (Two times the first number minus three times the second number is 1.)
To solve this system using the substitution method, isolate either x or y in the first equation. I'll isolate y.
x + y = 13
y = 13 - x
Substitute 13 - x for y into the second equation and solve algebraically for x.
2x - 3y = 1
2x - 3(13 - x) = 1
2x - 39 + 3x = 1
5x - 39 = 1
5x = 40
x = 8
Substitute 8 for x into either of the original equations and solve algebraically for y.
x + y = 13
8 + y = 13
y = 5
Check all work by plugging the x- and y-values accordingly into each equation.
x + y = 13 => 8 + 5 = 13
2x - 3y = 1 => 2(8) - 3(5) = 1 => 16 - 15 = 1
Answer:
<span>c: x = 8, y = 5
</span>
(8, 5)
Answer:
n = 1.5
Step-by-step explanation:
Given ratio of 1 : n is equivalent to the ratio 4 : 6.
We can rewrite these equivalent ratio as,
Now we have to solve this expression for the value of n.
n = 
n = 1.5
Therefore, n = 1.5 will be the answer.
