Answer:
B
Step-by-step explanation:
∠ 2 and 37° are vertically opposite angles and are congruent, then
∠ 2 = 37°
∠ 1 and 37° are a linear pair and sum to 180° , that is
∠ 1 + 37° = 180° ( subtract 37° from both sides )
∠ 1 = 143°
∠ 1 and ∠ 3 are vertically opposite angles and are congruent , then
∠ 3 = 143°
Using decimal multipliers, it is found that a rate of return of 5.2% in the third year will produce a cumulative gain of 16%.
The <u>decimal multiplier</u> for a increase of a% is given by:
In this problem, two increases of 5%, thus:
Another of x, that we want to find, and the result is a increase of 16%, thus:
The three increases(5%, 5% and x%) result in a increase of 16%, thus:
1.052 - 1 = 0.052
A rate of return of 5.2% in the third year will produce a cumulative gain of 16%.
A similar problem is given at brainly.com/question/21806362
Answer:
acute base angle = 74° , obtuse base angle = 106°
Step-by-step explanation:
Since the large triangle is isosceles with vertex angle (top angle) is 32, then the bottom 2 angles would be same (let it be x):
We know angles of triangle add up to 180, so we have:
x + x + 32 = 180
2x = 180 - 32
2x = 148
x = 148/2
x = 74
This 74 degree angle is the base acute angle of the isosceles trapezoid (lower portion). We also know opposite angles of isosceles trapezoid are supplementary (add up to 180), thus
obtuse angle + 74 = 180
obtuse angle (base) = 180 - 74 = 106
Thus, acute base angle = 74° , obtuse base angle = 106°
Answer:
Step-by-step explanation:
Hello,
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Answer:
Step-by-step explanation:
To find the area of a triangle, we can use the formula of:
This formula comes from the area of a rectangle, because a triangle is half a rectangle.
