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3 years ago

How can you prove a triangle is isosceles? (4 points)

Mathematics

2 answers:

irina [24]3 years ago

7 0

I think it is"A" hope it help

alexgriva [62]3 years ago

5 0

Answer:

To prove a triangle is isosceles, it can be used the distance formula to see if at least two sides are congruent.

Step-by-step explanation:

An isosceles triangle is a triangle in which two sides are equal in length. The sides are called equal sides, and the last side unequal to them is called the base. By definition, every regular triangle is also isosceles, but the converse is not true.

If a triangle has two equal sides, then these sides are called the lateral sides, and the third side is called the base. The angle formed by the sides is called the vertex angle, and the angles, one of the sides of which is the base, are called the corners at the base.

A triangle with two equal sides has one axis of symmetry, which passes through the vertex angle and the middle of the base. This axis of symmetry coincides with the bisector of the vertex angle, the median drawn to the base, the height drawn from the vertex corner and the middle perpendicular.

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How do I solve for the fourth term in this sequence?

tatiyna

Answer:

Step-by-step explanation:

d(1) = 13

d(n) = d(n - 1) + 17

where

n is the nth term

To find the 4th term we must first find the second term use it to find the 3rd term and use the 3rd term to find the 4th term

So we have

That's d(2)

We have

d(2) = d(2-1) + 17

d(2) = d(1) + 17

But d(1) = 13

d(2) = 13 + 17 = 30

That's

d(3) = d(3 - 1) + 17

d(3) = d(2) + 17

d(3) = 30 + 17 = 47

We have

d(4) = d(4 - 1) + 17

d(4) = d(3) + 17

d(4) = 47 + 17

We have the final answer as

Hope this helps you

3 0

3 years ago

A 55m and 35m broad park is surrounded by a 2.5m wide path.

daser333 [38]

Step-by-step explanation:

☄ $\underline {\underline{ \text{Given}}} :$

Length of a park ( l ) = 55 m
Breadth of a park ( b ) = 35 m
Width running outside the park ( d ) = 2.5 m
Rate of paving the path with stones = Rs 120 per sq.metre

☄ $\underline{ \underline{ \text{To \: find}}}:$

Area of the park
Cosy of paving the path with stones at Rs 130 per sq.metre

☄ $\underline{ \underline{ \text{Solution}}} :$

Part 1 : $\boxed{\text{Area \:of \:a \:path \: running \:outside = 2d(l + b + 2d)}}$

plug the known values and simplify :

⟹ $\sf{2 \times 2.5(55 + 35 + 2 \times 2.5)}$

⟹ $\sf{5 \times 95}$

⟹ $\sf{475 \: {m}^{2} }$

Part 2 : $\boxed{ \sf{Total \: cost = Area \: of \: paths \: \times Rate}}$

⟹ $\sf{475 \times 120}$

⟹ $\sf{Rs \: 57000}$

$\purple{ \boxed{ \boxed{ \sf{ \tt{⟿ \: Our \: final \: answer : (i) = 475 \: {m}^{2} \: and \: (ii ) = Rs \: 57000}}}}}$

Hope I helped ! ♡

Have a wonderful day /night ツ

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7 0

3 years ago

Find the perimeter of the quadrilateral.

levacccp [35]

<em><u>Question:</u></em>

Find the perimeter of the quadrilateral. if x = 2 the perimeter is ___ inched.

The complete figure of this question is attached below

<em><u>Answer:</u></em>

<h3>The perimeter of the quadrilateral is 129 inches</h3>

<em><u>Solution:</u></em>

The complete figure of this question is attached below

Given that, a quadrilateral with,

Side lengths are:

$4x^2 + 8x\ inches \\\\3x^2-5x+20\ inches \\\\7x + 30\ inches \\\\31\ inches$

The values of the side lengths when x = 2 are

$(4x^2+8x)=(4\times 2^2+8\times 2)=(4\times 4+16)=16+16=32\ inch\\\\(3x^2-5x+20)=(3\times 2^2-5\times 2+20)=(3\times 4-10+20)=12+10=22\ inch\\\\(7x+30)=(7\times 2+30)=14+30=44\ inch$

Perimeter of a quadrilateral = Sum of its sides

Perimeter of given quadrilateral = 32 + 22 + 44 + 31 = 129 inches

Thus perimeter of the quadrilateral is 129 inches

5 0

2 years ago

3x+5y=-3 x-5y=-5 show your work

frez [133]

We are given the equations 3x+5y=-3 and x-5y=-5.

Both equations have a 5y term which allows us to easily solve the system by elimination. To do so we will add the equations together like a simple addition problem by adding the x terms together, the y terms together, and the integer answers together.

3x + 5y = -3
+x - 5y = -5
---------------
4x + 0y = -8

The y terms cancel out since one is positive and one is negative. Now we can solve for x.

4x = -8

$\frac{4x}{(4)} = \frac{-8}{(4)}$

x = -2

Now plug -2 in for x in one of the original equations to find y.

(-2) - 5y = -5

-5y = -3

y = 3/5

Our answer as an ordered pair is (2, 3/5)

6 0

2 years ago

Please answer this for me

forsale [732]

Answer:

possibly z2-6 so try the third one

Step-by-step explanation:

8 0

3 years ago