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2 years ago

Ing Up Angles

Mathematics

2 answers:

natima [27]2 years ago

7 0

Answer:

180° is the correct answer. Hope this helped :)

Step-by-step explanation:

irga5000 [103]2 years ago

6 0

Answer:

180°

Step-by-step explanation:

a convex polygon has n sides, then its interior angle sum is

S = ( n −2) × 180°

S=(3-2)*180°=180°

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If ON = 7x - 5, LM = 6x + 4, NM = x + 6, and OL = 8y + 3, find the values of X and Y for which LMNO must be a parallelogram. Ple

Sladkaya [172]

The values of x and y that will make LMNO a parallelogram are: x = 9, y = 1.5.

<h3>Properties of a Parallelogram</h3>

The opposite sides of a parallelogram are parallel to each other and are also of equal lengths.
Diagonals of a parallelogram are congruent to each other and also bisect each other into equal halves.

Therefore:

ON = LM

Substitute

7x - 5 = 6x + 4

Add like terms

7x - 6x = 5 + 4

x = 9

OL = NM

Substitute

8y + 3 = x + 6

Plug in the value of x

8y + 3 = 9 + 6

8y + 3 = 15

8y = 15 - 3

8y = 12

y = 12/8

y = 1.5

Therefore, the values of x and y that will make LMNO a parallelogram are: x = 9, y = 1.5.

Learn more about parallelogram on:

brainly.com/question/7200842

6 0

2 years ago

Calculate the speed in km/hour of a car that travels 24 km in 120 minutes

bonufazy [111]

Answer:

Step-by-step explanation:

120 minutes is 2 hours so you just divide 24 by 2 :)

8 0

3 years ago

Read 2 more answers

PLS HELP TIMED QUESTION!!!

ser-zykov [4K]

Answer:

About 5043.58

Step-by-step explanation:

The standard form for an exponential decay after t time is:

$\displaystyle f(t)=a(r)^{t/d}$

Where a is the initial value, r is the rate decay, t is the time that has passed, and d is the amount of time it takes for 1 cycle.

The initial value is 9800. So a = 9800.

The quantity cuts in half. So, r = 1/2.

And it cuts in half every 6 days. For this question, we will convert this to hours. 6 days = 144 hours. So, we can let d = 144, where t will be in hours.

Therefore, our function is:

$\displaystyle f(t)=9800\Big(\frac{1}{2}\Big)^{t/144}$

Where t is the amount of time that has passed, in hours.

Then the quantity left after 138 hours will be:

$\displaystyle f(138)=9800\Big(\frac{1}{2}\Big)^{138/144}\approx 5043.58$

7 0

2 years ago

Write the equation of the sphere in standard form. x^2 + y^2 + z^2 + 2x − 4y − 6z = 22

madam [21]

The equation $x^{2} +y^{2} +z^{2} +2x-4y-6z=22$ in standard form looks like $(x+1)^{2} +(y-2)^{2} +(z-3)^{2} =(6)^{2}$ .

Given equation of sphere be $x^{2} +y^{2} +z^{2} +2x-4y-6z=22$ .

We are required to express the given equation in the standard form of the equation of sphere.

Equation is basically relationship between two or more variables that are expressed in equal to form. Equation of two variables look like ax+by=c. It may be linear equation,quadratic equation, cubic equation or many more depending on the powers of variables. The standard form of the equation of sphere looks like $x^{2} +y^{2} +z^{2} =r^{2}$ .