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2 years ago

If the measure of angle 2 is 3x, and the measure of 1 is 5x - 12 what is the measure of angle 9 ?

Mathematics

1 answer:

Mariana [72]2 years ago

8 0

3x+5x-12=180
8x=180+12
8x=192
x=192/8
x=24

angle 1 = 5x-12
=5(24)-12
=120-12
=108

angle 2= 3x =3*24=72

angle 1 = angle 9
angle 9= 108

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3 years ago

One number is six greater than another. if the sum of the two numbers is 44, find the numbers

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2 years ago

The bakery shop purchased 7 2/10 pounds of sugar and 7 5/10 pounds of flour. How much sugar and flour did they purchase in all?

gizmo_the_mogwai [7]

Answer:

Sugar = 1-2/5 pounds, Flour = 3-1/2 pounds

Together = 5-9/10 pounds

Step-by-step explanation:

sugar = 7(2/10)

flour = 7(5/10)

sugar + flour = 7(2/10) + 7(5/10)

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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 $x^{2} +y^{2} +z^{2} =r^{2}$ .

The given equation is $x^{2} +y^{2} +z^{2} +2x-4y-6z=22$ .

We have to break 22 which is in right side into various parts according to the left side of the equation.

$x^{2} +y^{2} +z^{2} +2x-4y-6z=-1-4-9+36$

$x^{2} +y^{2} +z^{2} +2x-4y-6z+1+4+9=36$

$x^{2} +1+2x+y^{2}+4-4y+z^{2} +9-6z=36$

$x^{2} +(1)^{2} +2*1*x+y^{2} +(2)^{2} -2*2y+z^{2} +(3)^{2} -2*3z=36$

$(x+1)^{2} +(y-2)^{2} +(z-3)^{2} =(6)^{2}$

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

Learn more about equations at brainly.com/question/2972832

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1 year ago

Help me please geometry class

artcher [175]

Answer:

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Step-by-step explanation:

I've provided my work which also includes how I check my answers by using the information given! Hope this helps!!! If you have any questions, I can try to help.

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2 years ago