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Lynna [10]
3 years ago
8

How many sets of parallel lines in a trapazoid

Mathematics
2 answers:
Natasha_Volkova [10]3 years ago
5 0
Two. <span>The top and bottom are parallel to each other, as are the two sides.</span>
mr_godi [17]3 years ago
4 0
Actually, there is only one set of parallel lines on a trapezoid.
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Helpppp please ?????
BlackZzzverrR [31]
A) <DAE = 180-126 = 54
b) <EBC = 90 - 48 = 42
c) <BAE = 180-48-54=78
8 0
3 years ago
Find all solutions to the equation:
crimeas [40]

Let z = sin(x). This means z^2 = (sin(x))^2 = sin^2(x). This allows us to go from the equation you're given to this equation: 7z^2 - 14z + 2 = -5

That turns into 7z^2 - 14z + 7 = 0 after adding 5 to both sides. Use the quadratic formula to solve for z. The only solution is z = 1 (see attached image). Since we made z = sin(x), this means sin(x) = 1. All solutions to this equation will be in the form x = (pi/2) + 2pi*n, which is the radian form of the solution set. If you need the degree form, then it would be x = 90 + 360*n

The 2pi*n (or 360*n) part ensures we get every angle coterminal to pi/2 radians (90 degrees), which captures the entire solution set.

Note: The variable n can be any integer.

7 0
3 years ago
Tim Tradesman had a taxable income of $82,500. He figured his tax from the table.
kakasveta [241]
<span>His earned income level are as follows.
 
The base amount is $14,138.50

</span><span><span>The amount over $62,450 = $82,500 - $62,450 =$20,050

The amount of tax on the third $20,050 is given by 31% of $20,050 = 0.31 x $20,050 = $6,215.5</span>
(i.e. Multiply line 3 by 31% = $6,215.5)

Total tax = $ 14,138.50 + $6,215.50 = $20,354
(i.e. Add lines 2 and 4 = $</span>20,354)
8 0
3 years ago
The gas mileage for a certain vehicle can be approximated by m=−0.05x2+3.5x−49, where x is the speed of the vehicle in mph. Dete
Whitepunk [10]

Answer:

<h2>14mph</h2>

Step-by-step explanation:

Given the gas mileage for a certain vehicle modeled by the equation m=−0.05x²+3.5x−49 where x is the speed of the vehicle in mph. In order to determine the speed(s) at which the car gets 9 mpg, we will substitute the value of m = 9 into the modeled equation and calculate x as shown;

m = −0.05x²+3.5x−49

when m= 9

9 = −0.05x²+3.5x−49

−0.05x²+3.5x−49 = 9

0.05x²-3.5x+49 = -9

Multiplying through by 100

5x²+350x−4900 = 900

Dividing through by 5;

x²+70x−980 = 180

x²+70x−980 - 180 = 0

x²+70x−1160 = 0

Using the general formula to get x;

a = 1, b = 70, c = -1160

x = -70±√70²-4(1)(-1160)/2

x = -70±√4900+4640)/2

x = -70±(√4900+4640)/2

x = -70±√9540/2

x =  -70±97.7/2

x = -70+97.7/2

x = 27.7/2

x = 13.85mph

x ≈ 14 mph

Hence, the speed(s) at which the car gets 9 mpg to the nearest mph is 14mph

4 0
3 years ago
Which scenario depicts two independent events?
stealth61 [152]

Answer:

The girls' basketball team is playing against the boys' basketball team. The coach chooses a captain for the girls' team and then chooses a captain for the boys' team.

Step-by-step explanation:

Two events are considered independent of each other when the probability that one event occurs doesn’t in any way affect the probability of the other event occurring.

An example is the probability of flipping a coin and rolling a die.

Choosing a captain for the male and female team won’t in any way affect the outcome of the match.

8 0
3 years ago
Read 2 more answers
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