Answer:
32.59 (nearest hundredth)
Step-by-step explanation:
<u />
<u>Geometric sequence</u>
General form of a geometric sequence: 
(where a is the first term and r is the common ratio)
Given:
Therefore:
<u>Sum of the first n terms of a geometric series</u>:
To find the sum of the first 20 terms, substitute the found values of a and r, together with n = 20, into the formula:
Answer:
Step-by-step explanation:
-2 < -3/4. Another way in which to do this would be to use the LCD:
-8/4 < -3/4.
Even though 8 has a larger magnitude than does 3, -8/4 is smaller than -3/4. On the number line, -8/4 (or -2) is to the left of -3/4.
Triangle ACB and triangle ABD share one side AB. This means they have one side that is congruent; side AB
Angle ABD = Angle ABC
Angle BAC = Angle BAD
The pair of angles that are equal lie on the side AB
Hence, triangle ABC and triangle ABD are congruent by Angle-Side-Angle (ASA)
Answer: Second option
Answer:
4
Step-by-step explanation:
Step 1: Subtract 8 from both sides.
17n+8−8=76−8
17n=68
Step 2: Divide both sides by 17.
17n/17
68/17
Answer:4
Answer:
x = 30°.
Step-by-step explanation:
To calculate the value of 'x', we can first derive the value of one of the angles that make up the triangle.
Notice that there is an angle with a measure of 100°. The angle that makes up the angle of the triangle is called a Vertical Angle. Therefore, if the angle in red is 100°, the vertical angle, or the third angle of the triangle, is 100°.
There are two congruent sides to the triangle, as seen by the congruent lines. This means that both of the other two angles must be equal. Find the value of 'x' by:
180 - 100 = 80. Since the value of one angle was 100°, and the angles in a triangle must add up to 180°, you can simply subtract to find the sum of the other two angles.
(x + 10) + (x + 10) = 80
2x + 20 = 80
2x = 60
x = 30°.
