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3 years ago

Work out the size of angle X.

Mathematics

1 answer:

larisa [96]3 years ago

5 0

Answer:

x = 70°

Step-by-step explanation:

The external angle of a triangle is equal to the sum of the 2 opposite interior angles.

120° is an external angle of the triangle, thus

x + 50 = 120 ( subtract 50 from both sides )

x = 70

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The sum of four times a number and eight is between zero and twelve. Find the range of numbers.

Ahat [919]

2<x<3 or Anything between negative 2 and 3

Step-by-step explanation:

0<4x+8<12

-8<4x<12

-2<x<3

3 0

3 years ago

Is z/8 monomial, binomial, trinomial, or polynomial?

Aliun [14]

Answer:

Monomial

Step-by-step explanation:

I think because it has only one term

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2 years ago

What is the general form of the equation of a circle with its center at (-2, 1) and passing through (-4, 1)?

AnnZ [28]

Answer:

$x^{2}+y^{2} +4x-2y+1=0$

Step-by-step explanation:

we know that

The general form of the equation of a circle is

$x^{2} +y^{2}+ Dx + Ey + F=0$

where D, E, F are constants

step 1

Find the radius of the circle

Remember that the distance from the center to any point on the circle is equal to the radius

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

$(-2,1)\\(-4,1)$

substitute the values

$r=\sqrt{(1-1)^{2}+(-4+2)^{2}}$

$r=\sqrt{(0)^{2}+(-2)^{2}}$

$r=2\ units$

step 2

Find the equation of the circle in standard form

$(x-h)^{2} +(y-k)^{2}=r^{2}$

In this problem we have

center ( -2,1)

radius r=2 units

substitute

$(x+2)^{2} +(y-1)^{2}=2^{2}$

$(x+2)^{2} +(y-1)^{2}=4$

Step 3

Convert to general form

$(x+2)^{2} +(y-1)^{2}=4\\ \\x^{2}+4x+4+y^{2}-2y+1=4\\ \\x^{2}+y^{2} +4x-2y+1=0$

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3 years ago

9] Your town has a population of 25,000 citizens this

Anit [1.1K]

Answer:

26932 citizens

Please Mark Brainliest If This Helped!

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2 years ago

To convert degrees Fahrenheit (F) into degrees Celsius (C) use the formula 2003-05-04-00-00_files/i0150000.jpg. Rewrite the equa

mihalych1998 [28]

To covert degrees Fahrenheit (F) to degrees Celsius (C) we use the equation C = (F - 32) × 5/9 . To convert degrees Celsius (C) to degrees Fahrenheit (F) we have to rewrite the equation.
First step: Divide both sides by 5/9. The equation would look like this:
C(9/5) = (F - 32)

Second step: Add 32 on both sides.
32 + (9/5)C = F or F = 32 + (9/5)C

6 0

3 years ago

Work out the size of angle X.​

Work out the size of angle X.