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malfutka [58]
2 years ago
14

What is the measure of angle y in this figure?HELP

Mathematics
1 answer:
Simora [160]2 years ago
6 0
Angles across from each other have the same degree, so it would be 163. They are vertical angles, and are therefore the same size and are equal to each other.
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What is the sum of the geometric sequence -3, 18, -108, ... if there are 8 terms
creativ13 [48]

Answer:

Step-by-step explanation:

common ratio=18/-3=-108/18=-6, a=-3

sn=a(r^n-1)(r-1)

sn=-3((-6)^n-1)(-6-1)

sn=-3(-6)^8-1)/(-7)

s8=-3(1679615)/(-7)

s8=719836

6 0
2 years ago
6 times a number is 27 less then the square of that number find the positive soloution
ella [17]

Answer:

9

Step-by-step explanation:

n2-27=6n

Than n (exponet) 2 - 27 - 6n = 0

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5 0
2 years ago
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Leno4ka [110]

Answer:

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3 0
3 years ago
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What is the solution of log2x − 3125 = 3? (1 point)
gladu [14]

We have been asked to find the solution of

{Log_{(2x-3)}}^{125}=3\\ \\ \text{we can re-write after Removing logarithm as below}\\ \\ (2x-3)^3=125\\ \\ (2x-3)^3=5^3\\ \\ \text{Now take cubed root on both the sides we get}\\ \\ 2x-3=5\\ \\ \text{Add 3 on both the sides we get}\\ \\ 2x=8\\ \\ \text{Divide both the sides by 2 we get}\\ \\ x=4

3 0
3 years ago
A ladder 10 feet long rests against a vertical wall. Initially, the top of the ladder is 8 feet above the ground. If the top of
lora16 [44]

Step-by-step explanation:

Let vertical height of ladder from ground be y and

horizontal distance of the base of the ladder from the wall be x respectively.

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<u>Using Pythagoras theorem</u>:

{l}^{2}  =  {y}^{2}  +  {x}^{2}

Differentiate both sides w.r.t time

0 = 2y \frac{dy}{dt}  + 2x \frac{dx}{dt}

y \frac{dy}{dt}  + x \frac{dx}{dt}  = 0

<u>We know that</u> (After 1 sec, y = 6 ft and x = 8 ft ; dy/dt = 2 ft/sec)

6\times 2 + 8\frac{dx}{dt}  = 0

\frac{dx}{dt}  =  - 1.5 ft  \: per \: sec

<u>( Ignore - ive sign)</u>

Therefore, bottom of the ladder is sliding away from the wall at a speed of 1.5 ft/sec one second after the ladder starts sliding.

8 0
3 years ago
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