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s2008m [1.1K]
3 years ago
13

What is the measure of angle B in the triangle? Enter your answer in the box. m∠B= ° ​

Mathematics
2 answers:
sergey [27]3 years ago
5 0

Answer:

B = 22°

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Sum the 3 given angles and equate to 180, that is

x + x + 16 + 120 = 180

2x + 136 = 180 ( subtract 136 from both sides )

2x = 44 ( divide both sides by 2 )

x = 22

∠B = x = 22°

stealth61 [152]3 years ago
5 0
M angle B= 22°

All the angles of a triangle are equal to 180°, so since we are given 120°, that means that both angles together equal 60°. Set the equations equal to 60°, so (x+16)+x=60°. Add like terms and get x to itself, so subtract 16 from 60 and add the x's together. You should get 2x=44°. Divide 44 by 2 and you get x=22°.

Hope this helps :).
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Find the volume of the following figure. Round to the nearest tenth.
sp2606 [1]

Answer:

A

Step-by-step explanation:

volume of cylinder= πr²h

r= 12cm

h = 19cm

putting the values in the formula

6 0
2 years ago
How to find an equation of the line that passes through the point(-3,-2) and is parallel to 2x=3-5y?
Cerrena [4.2K]
3-5y= 2x

-5y= 2x-3

y= (-2/5)x + 3/5

y + 2 = (-2/5)(x + 3)

y + 2 = (-2/5)x - (6/5)

y + 10/5 = (-2/5)x - 6/5

y = (-2/5)x - 16/5 is the answer
5 0
3 years ago
(Literal equations) The formula for the volume of a cylinder is V = πr^2h. Solve V = πr^2h for h, the height of the cylinder. A.
Kobotan [32]

Answer:

C

Step-by-step explanation:

Given

V = πr²h

Isolate h by dividing both sides by πr²

\frac{V}{\pi r^2} = h → C

8 0
3 years ago
Consider the differential equation: xy′(x2+7)y=cos(x)+e3xy. Put the differential equation into the form: y′+p(x)y=g(x), determin
icang [17]

Answer:

Linear and non-homogeneous.

Step-by-step explanation:

We are given that

\frac{xy'}{(x^2+7)y}=cosx+\frac{e^{3x}}{y}

We have to convert into y'+P(x)y=g(x) and determine P(x) and g(x).

We have also find type of differential equation.

y'=\frac{(x^2+7)y}{x}(cosx+\frac{e^{3x}}{y}}

y'=\frac{(x^2+7)cosx}{x}y+\frac{(x^2+7)e^{3x}}{x}

y'-\frac{cosx(x^2+7)}{x}y=\frac{e^{3x}(x^2+7)}{x}

It is linear differential equation because  this equation is of the form

y'+P(x)y=g(x)

Compare it with first order first degree linear differential equation

y'+P(x)y=g(x)

P(x)=-\frac{cosx (x^2+7)}{x},g(x)=\frac{e^{3x}(x^2+7)}{x}

\frac{dy}{dx}=\frac{(x^2+7)(ycosx+e^{3x})}{x}

Homogeneous equation

\frac{dy}{dx}=\frac{f(x,y)}{g(x,y)}

Degree of f and g are same.

f(x,y)=(x^2+7)(ycosx+e^{3x}),g(x,y)=x

Degree of f and g are not same .

Therefore, it is non- homogeneous .

Linear and non-homogeneous.

3 0
3 years ago
Using the Pythagorean Theorem, find the length of a leg of a right triangle if the other leg is 8 ft long and the hypotenuse is
tatyana61 [14]
A^2+8^2=10^2
a^2+64=100
a^2=36
a=6

B.6FT
4 0
2 years ago
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