9514 1404 393
Answer:
14. C) 136°
15. C) 40°
Step-by-step explanation:
Inscribed angles are half the measure of the arc they intercept. For an inscribed quadrilateral, this means opposite angles are supplementary.
__
14) ∠H +∠W = 180°
34x +55x +2 = 180
89x = 178 . . . . . . . . . subtract 2
x = 2 . . . . . . . . . . . . . divide by 89
arc VX = 2(34x) = 68(2) = 136 . . . degrees
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15) The sum of angles in the triangle is 180°.
? + 80° + (120°/2) = 180°
? = 40° . . . . . . . . . . subtract 140°
Answer:
(b), (d) and (e)
Step-by-step explanation:
Given

See attachment for 
Required
Select true statements from the given options
(a)
= days the bacteria reaches 30000
We have:

In this case:
and 
So, we have:


Using a calculator, we have:

So:

The above equation is false.
(a) is not true
(b) The graph shows that 
We have:

Let t = 3
So;

From the graph, 
So:


Take natural logarithm of both sides

This gives:

(b) is true
(c)
is the logarithm form of 
We have:

Take natural logarithm of both sides

This gives:


(c) is false
(d)
and 
From the graph, we have:
--- rough readings
This implies that:
is true
Because 
Take natural logarithm of both sides

Rewrite as:

We have:

Take natural logarithm of both sides



Substitute
in 

(d) is true
(e) The graph shows that 
We have:

Let t = 2.3
So;

From the graph,
---- rough readings
So:


Take natural logarithm of both sides

This gives:

(e) is true
Answer:
11 for the son and 33 for his dad
Step-by-step explanation:
11+11=22
33+11=44
No, because the x values repeat.
Answer:
Option A, 4(x + 2)(x - 2)
Step-by-step explanation:
<u>Step 1: Pull out a 4
</u>
<em>4(x^2 - 4)
</em>
<u>Step 2: Factor x^2 - 4
</u>
x^2 - 4
<em>(x + 2)(x - 2)
</em>
<u>Step 3: Combine
</u>
<em>4(x + 2)(x - 2)
</em>
Answer: Option A, 4(x + 2)(x - 2)