Answer:
1. 4 nights
2. $154
Step-by-step explanation:
1. The airfare is a fixed cost, and the cost of staying at the hotel for n nights is 98 * n. So, we add this up: 478 + 93n. This cost can be <em>no more than</em> 850 because that's Jenna's budget limit. So, we have:
478 + 93n ≤ 850
Subtract 478 from both sides:
93n ≤ 372
Divide by 93:
n ≤ 4
The maximum number of nights is 4 nights.
2. Abigail currently has $45 and she needs m more dollars in order to achieve her goal of <em>at least</em> $199. Seeing "at least", we know that we need to use the ≥ sign:
45 + m ≥ 199
Subtract 45 from both sides:
m ≥ 154
Abigail still needs at least $154.
Hope this helps!
Answer: It does not confirm that ΔABC∼ΔA'B'C by the AA criterion as the measure of angle B is negative which is not possible.
Step-by-step explanation:
Since we have given that
In ΔABC,
∠A = 8x - 10, ∠B = 10x - 40, and ∠C = 3x + 20
In ΔA'B'C',
∠A' = 6x + 10, ∠B' = 70 - x, and ∠C' = 10x 2
Since ΔABC gets a dilation by a scale factor of 
So, it becomes,
Now, put the value of
It does not confirm that ΔABC∼ΔA'B'C by the AA criterion as the measure of angle B is negative which is not possible.
Answer:
<em> (a). ∠UXV, ∠XVY ; (b). UV = 8 m .</em>
Step-by-step explanation:
If both C and D equal 15 then the answer is 105.
First, you need to factor the polynomial.
I'll use the trial and error method.
6x^2 - 5x - 6 = 0
6 has factors
6 and 1
3 and 2
I'll try 3 and 2 first.
(3x )(2x ) = 0
Now we need to factor -6.
-6 factors into
-1, 6
-6, 1
-2, 3
-3, 2
Now we need to see if one of these pairs of factors placed correclty will factor the trinomial.
(3x + 2)(2x - 3) = 0
That did it.
Now we use the zero factor property.
3x + 2 = 0 or 2x - 3 = 0
3x = -2 or 2x = 3
x = -2/3 or x = 3/2
