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4 years ago

In the isosceles trapezoid the marked angles are called _______ angles

Mathematics

1 answer:

Lelu [443]4 years ago

6 0

Answer:

Step-by-step explanation:

The indicated angles are 1) equal (because the trapezoid is isosceles), 2) acute (their measures are less than 90 degrees each), 3) congruent

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the electricity goes out in a house the temperature in the house changes by -8 F in 4 hours on average, by how many degrees is t

hodyreva [135]

It’s changing by -2° F per hour

6 0

3 years ago

On an island there are 7 cities. Each two of them connected by a direct road. How many roads are there?

Gnoma [55]

Answer:

21 roads

Step-by-step explanation:

If each two cities are connected by a direct road, to find the number of roads we just need to solve a combination of 7 choose 2, that is, we need to find all pairs of two cities among the 7 cities:

Combination of 7 choose 2 = 7! / (5! * 2!) = 7*6/2 = 21

So there is a total of 21 roads on the island.

3 0

3 years ago

Read 2 more answers

The average speed to go by car from home to college is 30 miles per hour. The average speed to go back home from college is 20 m

Levart [38]

Answer:

24 mph for both 60 miles and 40 miles.

Step-by-step explanation:

We need to find how long it takes to get to college and from it.

Speed x time (x) = Distance (60)

30x = 60

x=2

It takes two hours to get to college

20x = 60

x = 3

It takes 3 hours to get back. It's a total of 5 hours, 2 hours at 30mph and 3 at 20. Now we need to find the average

30+30+20+20+20=120

120/5= 24

The average speed for the round trip is 24.

To do the second part, we follow the same process, but replace 60 with 40 for distance.

30x=40

x= 1.33

20x=40

x=2

We can add the total distance and divide by total time to find the average.

The total distance is 80. Time is 3.33

80/3.33=24

The average speed is still 24.

3 0

3 years ago

How do you solve (-3)(-1)

inysia [295]

(-3)(-1)

- and - = + positive

(-3)(-1)

Answer: 3

5 0

3 years ago

X^2 + 1/2x + = 2 + <br> Help please

Gennadij [26K]

Answer:

Step 2:

For Completing the square,

$(\frac{1}{2} coefficient\ x)^{2} =(\frac{1}{2}\times \frac{1}{2})^{2}=\frac{1}{16}$

Add half coefficient of x square on both the side we get

$x^{2}+\dfrac{x}{2}+\frac{1}{16}=2+\frac{1}{16}$

Step-by-step explanation:

Solve:

$2x^{2}+x-4=0$

$2x^{2}+x=4$

Solution:

Step 1:

Dividing both the side by two we get

$x^{2}+\dfrac{x}{2}=2$

Step 2:

For Completing the square,

$(\frac{1}{2} coefficient\ x)^{2} =(\frac{1}{2}\times \frac{1}{2})^{2}=\frac{1}{16}$

Add half coefficient of x square on both the side we get

$x^{2}+\dfrac{x}{2}+\frac{1}{16}=2+\frac{1}{16}$

Step 3:

We know $(a +b)^{2} = a^{2}+2ab +b^{2}$

$(x+\frac{1}{4})^{2}=\frac{33}{16} \\ \\(x+\dfrac{1}{4})=\pm \sqrt{\dfrac{33}{16}} \\\\x=-\dfrac{1}{4}\pm \sqrt{\dfrac{33}{16}}$

6 0

4 years ago