Let's assume that both angles are, in fact, obtuse supplements. We know that supplementary angles must add up to 180°. We also know by definition that obtuse angles are greater than 90°. If we were to take the two supplementary, obtuse angles, ∡A=90+x and ∡B=90+y, with x and y equaling positive real numbers, then we should be able to say that 180=m∡A+mB, or 180=90+x+90+y. By simplifying we get that 180=180+x+y. Simplify further and you get that 0=x+y. If we define x in terms of y, then x= -y. If we define y in terms of x, then y= -x. Because either x or y must be negative to make this statement true, one of the angle measures must be less than 90. If one of the angles must be less than 90 while the other is greater than 90, then one angle MUST be acute if the other is obtuse in order for them to be supplements of each other.
Answer:
9 4/5
Step-by-step explanation:
You can rewrite them into decimal. It would be 3.5 times 2.8 and you get 9.8 or 9 4/5
The number of people who like black coffee is 52.
<h3>What is Venn diagram?</h3>
A Venn diagram is a diagram that helps us visualize the logical relationship between sets and their elements and helps us solve examples based on these sets.
Here, We have used a table in the attachment such that each of the cells in the grid represents one of the 8 possible combinations of coffee, tea, or chocolate.
The numbers in black are given directly by the problem statement. The numbers in blue are calculated from the numbers in black and one of the other given numbers in the problem statement. The numbers in red are calculated so the totals work out correctly.
The cells shaded blue-gray are "one and only one" of the drinks. The cell shaded purple-gray is "don't like any".
black coffee
We assume that any form of "coffee" is "black coffee." The problem statement tells us 52 people like coffee.
Thus, the number of people who like black coffee is 52.
Learn more about Venn Diagram from:
brainly.com/question/14344003
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Answer:
x=(3/5) + (3√6)i/10, and x =(3/5) - (3√6)i/10
Step-by-step explanation:
Use the quadratic formula for ax² +bx +c=0
x= [-b±√(b²-4ac)]/2a
For, -10x² +12x -9 = 0
x= [-12 ±√(12²-4(-10)(-9)] /2(-10)
x= [-12 ±√(144-360)] /-20
x= [-12 ±√(144-360)] /-20
x= (-12 ±i√216) /-20
x= (-12 ±i6√6) /-20
so one solution will be
x= (-12 +i6√6) /-20
= (3/5) - (3√6)i/10
the second solution will be
x= (-12 - i6√6) /-20
= (3/5) + (3√6)i/10