Answer:B: 36°
Step-by-step explanation:
We know that ∆ABC is isoceles, making (angle)<ABC and <BCA congruent because base angles of isoceles triangles are congruent.
Because we have parallel lines, we can look for alternate interior angle pairs. <BCA is congruent to <DAC because they're alternate interior angles.
If <BCA is x then so is <ABC.
Since triangles add up to 180° we can add all of the angles (3x+x+x) and set it equal to 180.
3x+x+x=180
5x=180
x=36
If we were looking for <BAC we would plug that back in and solve, but we're looking for <BCA which is equal to x, therefore m<BCA=36°
Answer: a1 = 3 and r = 2
Step-by-step explanation:
A geometric progression, also called a geometric sequence, is a sequence of numbers whereby every term after the first is gotten by multiplying the previous one by a fixed and non-zero number that is called the common ratio.
In this geometric progression, a5= 48 and a11= 3,072. To get the first term and the common ratio has been attached.
Answer:
192
Step-by-step explanation:
550 - 10% = 495
495 - 10% = 445
445 - 10% = 400
400 - 10% = 360
360 - 10% = 324
324 - 10% = 292
292 - 10% = 263
263 - 10% = 237
237 - 10% = 213
213 - 10% = 192
Note : Since unit of currency is not defined, I'll be using units.
Sales tax on a 15000 units car = 540 units
540 = 15000 × tax% / 100
=> 540 = 15000 × tax% / 100
=> 540/15000 = tax% / 100
=> tax% = (540/15000) × 100
=> tax% = 540/140
=> tax% = 3.6
now,
sales tax on a 32000 units car = 32000 × tax%/100
= 32000 × 3.6/100
= 320 × 3.6
= 1152 units
therefore sales tax on a 32000 units car = 1152 units