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Rina8888 [55]
3 years ago
9

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

3 0
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

so

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

7 0
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!

7 0
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<span> = (</span>F<span> - 32) × 5/9</span> . To convert degrees Celsius (C) to degrees <span>Fahrenheit (F) we have to rewrite the equation. 
First step: Divide both sides by 5/9. The equation would look like this: 
</span>C(9/5) = (F - 32) 

Second step: Add 32 on both sides. 
32 + (9/5)C = F or F = <span>32 + (9/5)C</span>
6 0
3 years ago
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