7). It is not possible. It is impossible.
An "acute" triangle is a triangle in which all three angles are acute.
"Acute" means "less than 90 degrees".
A "right triangle" has a 90-degree angle in it, so all three
of its angles can't possibly be acute.
8). Yes, Karen speaks the truth.
In an equilateral triangle, all three angles have
the same size, namely 60 degrees.
Studying this number astutely, you will notice that
it is less than 90 degrees.
Therefore, all three angles in an equilateral triangle are acute angles.
Therefore, every equilateral triangle is a cute one.
9). An equilateral triangle is one with all three sides the same length.
An isosceles triangle is one with two sides the same length.
A scalene triangle is one with all three sides different lengths.
You can drawum.
Answer:
B.405 cm2
Step-by-step explanation:
12 times 15 is 315. The area of the rectangle is 315.
The area of the triangle is 90.
Add them and i got 405.
What is the Converse of the Pythagorean Theorem? The theorem states that if the square of the length of the longest side of a triangle is equal to the sum of the squares of the other two sides, then the triangle is a right triangle
Answer:
The length of SO is 46 units
Step-by-step explanation:
<em>In a parallelogram, </em><em>diagonals bisect each other,</em><em> which means meet each other in their mid-point</em>
∵ SNOW is a parallelogram
∵ SO and NW are diagonals
∵ SO ∩ NW at point D
→ That means D is the mid-point of SO and NW
∴ D is the mid-point of SO and NW
∵ D is the mid-point of SO
→ That means D divide SO into two equal parts SD and DO
∴ SD = DO
∵ SD = 9x + 5
∵ DO = 13x - 3
→ Equate them
∴ 13x - 3 = 9x + 5
→ Subtract 9x from both sides
∵ 13x - 9x - 3 = 9x - 9x + 5
∴ 4x - 3 = 5
→ Add 3 to both sides
∵ 4x - 3 + 3 = 5 + 3
∴ 4x = 8
→ Divide both sides by 4
∴ x = 2
→ To find the length of SO substitute the value os x in SD and DO
∵ SO = SD + DO
∵ SD = 9(2) + 5 = 18 + 5 = 23
∵ DO = 13(2) - 3 = 26 - 3 = 23
∴ SO = 23 + 23 = 46
∴ The length of SO is 46 units
The probability that all three randomly selected envelopes are yellow without replacement is 1/84.
<h3>What is a combination?</h3>
It is an arrangement of a set of numbers from a total set where the order of the set is not relevant.
We have,
2 red envelopes
2 blue envelopes
2 green envelopes
3 yellow envelopes.
Total number of envelopes = 9
The probability that all three randomly selected envelopes are yellow without replacement.
= 
= (3/9) x (2/8) x (1/7)
= (3x2x1)/(9x8x7)
= 1/84
Thus,
The probability that all three randomly selected envelopes are yellow without replacement is 1/84.
Learn more about combination here:
brainly.com/question/14355408
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