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Nataly [62]
3 years ago
8

Prove that angles opposite to equal sides of an isosceles triangle are equal.

Mathematics
1 answer:
ZanzabumX [31]3 years ago
8 0

Answer:

Step-by-step explanation:

Take a triangle ABC, in which AB=AC.

Construct AP bisector of angle A meeting BC at P.

In ∆ABP and ∆ACP

AP=AP[common]

AB=AC[given]

angle BAP=angle CAP[by construction]

Therefore, ∆ABP congurent ∆ACP[S.A.S]

This implies, angle ABP=angleACP[C.P.C.T]

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Find an equation of the line that passes through the points (1,2) and (2,3).
klemol [59]

Answer:

y=x+1

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(3-2)/(2-1)

m=1/1

m=1

y-y1=m(x-x1)

y-2=1(x-1)

y-2=x-1

y=x-1+2

y=x+1

6 0
3 years ago
Read 2 more answers
What is the Like Term of 2L 2 and L?
Nimfa-mama [501]
There is no common term
Between 2l and l its l
Between 2l and 2 its 2
Between 2 and l there are no common terms, so between 2 l and 2l also there are no common terms
8 0
3 years ago
How do you do these geometry?
siniylev [52]

Answer:

The angles are 45°, 60° , 75°

Step-by-step explanation:

<h3>Angle sum property:</h3>

Sum of all the angles of a triangle is 180°.

Equation:  

     3x + 5x + 4x = 180

Combine like terms,

                   12x = 180

                      x = 180/12

                      \sf \boxed{x = 15}

3x = 3 *15 = 45°

5x = 5* 15 = 75°

4x = 4 *15 = 60°

4 0
2 years ago
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Determine the equation of the line that passes through the given points. (If you have a graphing calculator, you can use the tab
expeople1 [14]

<span>
You can write the equation in point-slope form, which has the format <em>y-y</em>subscript1=<em>m</em>(<em>x-x</em>subscript1), with <em>y</em>subscript1 and <em>x</em>subscript1 being the y and x coordinates for a point on the line, and <em>m</em> being the slope. </span>

<span /><span>Substitute a y and x coordinate into the equation so you have <em>y</em>-6=<em>m</em>(<em>x</em>-2)</span>

<span /><span><span>Then find the slope so you can replace <em>m</em>. The slope formula is <em />(<em>y</em>subscript2-<em>y</em>subscript1)/(<em>x</em>subscript2-<em>x</em>subscript1). </span><span>Substitute the coordinates in so you have <em>m</em>=(16-6)/(4-2), which simplifies to 10/2 and then 5.</span></span>

<span><span /></span><span>Now the equation is <em>y</em>-6=5(<em>x</em>-2)</span>

<span />If you want a different form, for example slope-intercept form, you can change it to that:

<span><em>y</em>-6=5(<em>x</em>-2)</span>

<span><em>y</em>=5x-4</span>

6 0
3 years ago
Evaluate each using the values given-6+4-y-z; use y= -4, and z = -1
Ivenika [448]

Answer:

Your answer is 15

Step-by-step explanation:

1) 6 + 4 = 10

2) -4 + -1 = -5

3) now add

4) 10 + -5 + 15

5) it's 15 because the bigger is positive.

8 0
2 years ago
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