5sqrt(x+7)=-10
Dividing both sides by 5:
5sqrt(x+7)/5=-10/5
sqrt(x+7)=-2
Squaring both sides of the equation:
[sqrt(x+7)]^2=(-2)^2
x+7=4
x+7-7=4-7
x=-3
Replacing in the original equation:
5sqrt(x+7)=-10
5sqrt(-3+7)=-10
5sqrt(4)=-10
5(2)=-10
10=-10 It's not equal, then x=-3 is an extraneous solution
When the sum of two angles measures up to 90° then these angles are known as complementary angles of each other. The measure of ∠1 is 30°, while the measure of ∠2 is 60°.
<h3>What are Complementary Angles?</h3>
When the sum of two angles measures up to 90° then these angles are known as complementary angles of each other.
for example, ∠x + ∠y = 90°, therefore, the ∠x and ∠y are the complementary angles of each other.
Since the two angles together form a 90° angle. The angles are complementary to each other, therefore, we can write,
∠1 + ∠2 = 90°
x + x + 30 = 90°
2x = 60°
x = 30°
Thus, the measure of the angles can be written as,
∠1 = x = 30°
∠2 = x+30° = 60°
Hence, the measure of ∠1 is 30°, while the measure of ∠2 is 60°.
Learn more about Complementary Angles:
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Answer:
B = 5:00
Step-by-step explanation:
360/12 = every hour is 30 degrees more
150/30 = 5 hours
Take the orginal price and multiply it by 1.34.
455 * 1.34 = $609.70 in retail.
The longer way would be to take 34% of 455 and then add it to 455.
x - y = 8
Add y to both sides
x = 8 + y
4x + y = 4
Substitute the value of x from the first equation in
4(8 + y) + y = 4
Simplify and solve
32 + 4y + y = 4
32 + 5y = 4
5y = -28
y = -5.6
Now put that value of y into the first equation
x = 8 + (-5.6)
x = 2.4