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sergey [27]
3 years ago
8

Identify the two remote interior angles that correspond to angle 5

Mathematics
1 answer:
mr_godi [17]3 years ago
7 0
In a triangle, each exterior angle has 2 interior remote angles. Those interior angles are inside the triangle and opposite from the exterior angle. The measure of an exterior angle ( in this case ∠5 ) is equal to the sum of the measures of two remote interior angles ( ∠ 2 and ∠ 3 ).
Answer: ∠ 2 and ∠ 3 .
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CD has endpoints C(-3, 4) and D(1, -2). Find the coordinates<br> of its midpoint.
Natalija [7]

Answer:

Midpoint (-1 , 1)

Step-by-step explanation:

Formula: (midpoint)

Let the point A(x , y) be the midpoint of CD.

x=\frac{x_c+x_D}{2} =\frac{-3+1}{2} =\frac{-2}{2} =-1

y=\frac{x_C + y_D}{2} =\frac{4+(-2)}{2} =\frac{2}{2} =1

Then

A(-1 , 1)

4 0
2 years ago
Read 2 more answers
A car rental agency has 150 cars. The owner finds that at a price of $48 per day, he can rent all the cars. For each $2 increase
hram777 [196]
Given that for each <span>$2 increase in price, the demand is less and 4 fewer cars are rented.

Let x be the number of $2 increases in price, then the revenue from renting cars is given by
(48 + 2x) \times (150 - 4x)=7,200+108x-8x^2.

Also, given that f</span><span>or each car that is rented, there are routine maintenance costs of $5 per day, then the total cost of renting cars is given by
5(150-4x)=750-20x

Profit is given by revenue - cost.
Thus, the profit from renting cars is given by
</span><span>(7,200+108x-8x^2)-(750-20x)=6,450+128x-8x^2

For maximum profit, the differentiation of the profit function equals zero.
i.e.
</span><span>\frac{d}{dx} (6,450+128x-8x^2)=0 \\  \\ 128-16x=0 \\  \\ x= \frac{128}{16} =8

The price of renting a car is given by 48 + 2x = 48 + 2(8) = 48 + 16 = 64.

Therefore, the </span><span>rental charge will maximize profit is $64.</span>
3 0
3 years ago
Please Help!?
White raven [17]

number 48 looks correct

7 0
3 years ago
Read 2 more answers
I need help with this ​
jeka94

Answer:

a15 = 50

t25 = 33554427

Step-by-step explanation:

<em>Insert/Substitute the number given in for n.</em>

a15 = 3(15) + 5

a15 = 45 + 5

a15 = 50

~

t25 = 2^25 - 5     <em>2 times itself 25 times. 25 is the exponent in this equation</em>

t25 = 33554432 - 5

t25 = 33554427

8 0
3 years ago
Do the ratios 18/16 and 3/12 form a proportion?
I am Lyosha [343]

Answer:

No. They are not proportionate.

Step-by-step explanation:

4 0
4 years ago
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