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3 years ago

If two triangles have equivalent angle measures then they are congruent

1 answer:

const2013 [10]3 years ago

4 0

If two triangles have equivalent angle measures then they are congruent isn’t enough to prove that the two triangles are congruent. Two triangles are congruent if they have both the same three sides and also with the same three angles however, the given is only specifying in angles therefore, it can’t assure the argument that is the two triangles with the same angle is congruent.

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what is the equation of the line described below written in slope-intercept form? the line passing through point (2,2) and perpe

djverab [1.8K]

Answer:

The equation of line passing through point (2 , 2) and perpendicular to line y = x is y = - x + 4 .

Step-by-step explanation:

Given as :

The line equation is y = x

Now, equation of line in slope-intercept form y = m x + c

where m is the slope of line and c is y-intercept

Comparing given line equation with standard line equation

The slope of line y = x is m = 1

Again

Other line is passing through point (2 ,2) and is perpendicular to line y = x

Let The slope of other line = M

∵ From perpendicular lines property

Product of slope of lines = - 1

i.e m × M = - 1

Or , M = $\dfrac{ - 1}{m}$

Or, M = $\dfrac{ - 1}{1}$

∴ M = - 1

<u>Now, Equation of other line in point-slope form</u>

The other line is passing through point (2 , 2) and slope M = - 1

So, y - $y_1$ = M × (x - $x_1$ )

Or, y - 2 = - 1 × ( x - 2 )

Or, y - 2 = - x + 2

Or, y = - x + 2 + 2

Or, y = - x + 4

Hence, The equation of line passing through point (2 , 2) and perpendicular to line y = x is y = - x + 4 . Answer

5 0

3 years ago

Right answer gets brainlist

kirza4 [7]

Answer:

V≈653

Step-by-step explanation:

In order to find the volume of a cylinder, you use the formula V=πr2h. In this case, the filled-in formula would be V=3.14*4*4*13. This equals 653.45. In your answer, you need to round to the nearest whole number. In this case, round down to 653. That is your answer. Hope this helps :)

8 0

3 years ago

Read 2 more answers

given the recursive formula for a geometric sequence find the common ratio the 8th term and the explicit formula.did I set these

lesya [120]

Answer:

Step-by-step explanation:

1)Since we know that recursive formula of the geometric sequence is

$a_{n}=a_{n-1}*r$

so comparing it with the given recursive formula $a_{n}=a_{n-1}*-4$

we get common ratio =-4

8th term= $a_{1}*(r)^{n-1}=-2*(-4)^{7} =32768.$

Explicit Formula = $-2*(-4)^{n-1}$

2) Comparing the given recursive formula $a_{n}=a_{n-1}*-2$

with standard recursive formula $a_{n}=a_{n-1}*r$

we get common ratio =-2

8th term= $a_{1}*(r)^{n-1}=-4*(-2)^{7} =512.$

Explicit Formula = $-4*(-2)^{n-1}$

3)Comparing the given recursive formula $a_{n}=a_{n-1}*3$

with standard recursive formula $a_{n}=a_{n-1}*r$

we get common ratio =3

8th term= $a_{1}*(r)^{n-1}=-1*(3)^{7} =-2187.$

Explicit Formula = $-1*(3)^{n-1}$

4)Comparing the given recursive formula $a_{n}=a_{n-1}*-4$

with standard recursive formula $a_{n}=a_{n-1}*r$

we get common ratio =-4

8th term= $a_{1}*(r)^{n-1}=3*(-4)^{7} =-49152.$

Explicit Formula = $3*(-4)^{n-1}$

5)Comparing the given recursive formula $a_{n}=a_{n-1}*-4$

with standard recursive formula $a_{n}=a_{n-1}*r$

we get common ratio =-4

8th term= $a_{1}*(r)^{n-1}=-4*(-4)^{7} =65536.$

Explicit Formula = $-4*(-4)^{n-1}$

6)Comparing the given recursive formula $a_{n}=a_{n-1}*-2$

with standard recursive formula $a_{n}=a_{n-1}*r$

we get common ratio =-2

8th term= $a_{1}*(r)^{n-1}=3*(-2)^{7} =-384.$

Explicit Formula = $3*(-2)^{n-1}$

7)Comparing the given recursive formula $a_{n}=a_{n-1}*-5$

with standard recursive formula $a_{n}=a_{n-1}*r$

we get common ratio =-5

8th term= $a_{1}*(r)^{n-1}=4*(-5)^{7} =-312500.$

Explicit Formula = $4*(-5)^{n-1}$

8)Comparing the given recursive formula $a_{n}=a_{n-1}*-5$

with standard recursive formula $a_{n}=a_{n-1}*r$

we get common ratio =-5

8th term= $a_{1}*(r)^{n-1}=2*(-5)^{7} =-156250.$

Explicit Formula = $2*(-5)^{n-1}$

6 0

3 years ago

A dart is tossed and hits the dart board shown. The dart is equally likely to land on any

stiks02 [169]

It would be 4.9%, hope this helps :)

5 0

2 years ago

WILL MARK BRAINLIST

hammer [34]

$2x +y = 20~~....(i)\\\\6x -5y = -4~~....(ii)\\\\\\\text{Multiply equation (i) by 3:}\\\\6x +3y = 60~~...(iii)\\\\(iii)-(ii):\\\\6x+3y - 6x+5y = 60-(-4)\\\\\implies 8y = 60+4 = 64\\\\\implies y = \dfrac{64}8\\\\\implies y = 8\\\\\\\text{Substitute y =8 in equation (i):}\\\\2x+8 =20\\\\\implies 2x = 20-8 = 12\\\\\implies x = \dfrac{12}2 = 6\\\\\text{Hence (x,y) = (6, 8)}$

4 0

2 years ago

Read 2 more answers