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3 years ago

Which construction will determine a midpoint?

Mathematics

2 answers:

likoan [24]3 years ago

5 0

perpendicular bisector

Crank3 years ago

5 0

Answer: The answer is (a) Congruent segments.

Step-by-step explanation: We are to select the correct construction among the given options that will determine a mid-point.

When we draw two congruent segments in a same straight line and meeting at a point, then the meeting point will be the mid-point of the combined segments.

For example, in the attached figure, AP and PB are two line congruent segments meeting at a point P. Then, P will be the mid-point of AB.

Thus, (a) Congruent segments is the correct option.

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Lytrisha claims that y= 2x2 + 3 is a function but not a linear function select the statement that supports lytrishas claim

Gnom [1K]

Answer:

Step-by-step explanation:

A is wrong, it increases

C is wrong, the coefficient does not determine if it is linear (straight), the exponent does.

D is wrong, you don't need to know a point to determine if it is linear, (if you have 3 points you can though. )

8 0

3 years ago

Find N and explain how

Tom [10]

Answer:

The value of n is 5

Step-by-step explanation:

Here, we want to get the value of n

To get this, we will need to use the appropriate trigonometric identity

As we can see, n represents the opposite as it the side that faces the angle given

m is the hypotenuse as it is the side that faces the right angle

The last side is called the adjacent

The trigonometric identity we want to use is that which connects the opposite to the adjacent

The appropriate trigonometric identity to use in this case is the tan

Thus;

Mathematically, the tan is the ratio of the opposite to the adjacent

hence;

tan 30 = n/ 5 √3

n = 5 √3 * 1/ √3

n = 5

7 0

3 years ago

Sam's van travels 208.8 miles on 9 gallons of gasoline. Hasan's small car travels 234.4 miles on 8 gallons of gasoline. What is

poizon [28]

Answer:

The difference between the vehicles is 0,009 gallons per mile.

Step-by-step explanation:

To know the difference between the vehicles in gallons per mile we need to obtain this information for each car:

-Sam´s van

Gallons per mile: 9 gallons/208.8 miles

Gallons per mile: 0.0431

-Hasan´s small car:

Gallons per mile: 8 gallons/234.4 miles

Gallons per mile: 0.0341

The difference between the vehicles is:

0.0431-0.0341= 0,009 gallons per mile

5 1

3 years ago

Read 2 more answers

Jim is trying to improve his speed on the track so he can qualify for the State Championships. As he is running, he goes from 70

kumpel [21]

Answer:

His acceleration is $\frac{1}{15}$ meters per seconds²

Step-by-step explanation:

Acceleration is the rate of change of the speed

The formula of acceleration is $a=\frac{v_{f}-v_{i}}{t}$ , where

$v_{f}$ is the final speed
$v_{i}$ is the initial speed
The unit of the acceleration is meters/second²

∵ Jim goes from 70 meters/minute (beginning speed) to

106 meters/minute (final speed) in 9 seconds

∴ His initial speed $v_{i}$ = 70 meters/minute

- Change it the meter per second

∵ 1 minute = 60 seconds

∴ $\frac{70}{(1)(60)}=\frac{70}{60}=\frac{7}{6}$ meters/second

∴ $v_{i}$ = $\frac{7}{6}$ meters/second

∵ His final speed $v_{f}$ = 106 meters/minute

- Change it the meter per second

∴ $\frac{106}{(1)(60)}=\frac{106}{60}=\frac{53}{30}$ meters/second

∴ $v_{f}$ = $\frac{53}{30}$ meters/second

∵ The time of the change of his speed is 9 seconds

∴ t = 9

∵ The formula of acceleration is $a=\frac{v_{f}-v_{i}}{t}$

- Substitute the values of t, $v_{i}$ and $v_{f}$ in the formula above

∴ $a=\frac{\frac{53}{30}-\frac{7}{6}}{9}=\frac{1}{15}$

∴ His acceleration is $\frac{1}{15}$ meters per seconds²

3 0

3 years ago

Find the value of x

Svet_ta [14]

Answer:

$150^o$

Step-by-step explanation:

Step 1: Distribute the plus

$(x + 15)^o + (135 - x)^o$

$x + 15 + 135 - x$

Step 2: Combine like terms

$x + 15 + 135 - x$

$(x - x)^o + (15 + 135)^o$

$0 + 150^o$

$150^o$

Answer: $150^o$

7 0

3 years ago

Read 2 more answers