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3 years ago

The measure of a base isosceles triangle is 43? what is the measure of the vertex angle

Mathematics

1 answer:

Anestetic [448]3 years ago

4 0

Answer:

The vertex angle is 94 degrees

Step-by-step explanation:

Let the vertex angle be x

Mathematically, the base angles of an isosceles triangle are the same

So if one of the base angles is 43 degrees, then the other base angle would be 43 degrees too

Mathematically, the sum of angles in a triangle is 180 degrees

Thus;

43 + 43 + x = 180

x = 180-86

x = 94 degrees

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8.75

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3 years ago

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If 42 × 43 = n, then which division equation is also true?

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3 years ago

Find the value of X. Segment addition

Maru [420]

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4 years ago

A total of 3 1/4 cups of baking soda was used for multiple trails of a science experiment. Each trail used 3/4 cup of baking sod

Gre4nikov [31]

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3 years ago

M(7, 5) is the midpoint of line RS The coordinates of S are (8, 7). What are the coordinates of R?

Shtirlitz [24]

Answer:

The coordinates of point R are (6 , 3)

Step-by-step explanation:

* Lets revise the rule of the mid-point

- The mid point (x , y)of a line whose end points are $(x_{1},y_{1})$

and $(x_{2},y_{2})$ is $(\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})$

∵ M is the mid point of line RS

∵ The coordinates of point M are (7 , 5)

∴ x = 7 and y = 5

∵ The coordinates of point R are $(x_{1},y_{1})$

∵ The coordinates of point S are (8 , 7)

∴ $(x_{2},y_{2})$ = (8 , 7)

∴ $x_{2}=8$ and $y_{2}=7$

- By using the rule above

∵ $x=\frac{x_{1}+x_{2}}{2}$

∵ $7=\frac{x_{1}+8}{2}$

- Multiply both sides by 2

∴ $14=x_{1}+8$

- Subtract both sides by 8

∴ $x_{1}=6$

∴ the x-coordinate of point R is 6

∵ $y=\frac{y_{1}+y_{2}}{2}$

∵ $5=\frac{y_{1}+7}{2}$

- Multiply both sides by 2

∴ $10=y_{1}+7$

- Subtract both sides by 7

∴ $y_{1}=3$

∴ the y-coordinate of point R is 3

* The coordinates of point R are (6 , 3)

6 0

3 years ago