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3 years ago

Prove that the angles at the base of an isosceles triangle are acute

1 answer:

7 0

1. Since it is an isosceles triangle, we know that the two length sides have to be the same. Therefore, the angles across from the sides are the same. They cannot be 90 degrees or above because 90+90+0 would mean we would have all the interior angles at 180 but the thing is the third angle cannot be zero. Therefore, the other two angles cannot be 90 or more. They must be acute.

Also, if it had two right angles (90 degrees) or more, it could not close to be a triangle.

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The base of a cylindrical

KengaRu [80]

Answer:

Step-by-step explanation:

3 0

2 years ago

Nicole’s friend runs 3/8 of a mile, but her distance is only 3/5 of Nicole’s distance. How far does Nicole run?

salantis [7]

Step-by-step explanation:

<h3><u>Required Answer</u><u>:</u><u>-</u></h3>

Let distance travelled by Nichol =x

${:}\longrightarrow$ $\sf {\dfrac {3}{5}}\times x={\dfrac {3}{8}}$

${:}\longrightarrow$ $\sf {\dfrac {3x}{5}}={\dfrac {3}{8}}$

${:}\longrightarrow$ $\sf 8 (3x)=5×3$

${:}\longrightarrow$ $\sf 24x=15$

${:}\longrightarrow$ $\sf x={\dfrac{24}{15}}$

${:}\longrightarrow$ $\sf x=1.6$

$\therefore$ Nichol runs 1.6miles .

4 0

3 years ago

Shape 1 and shape 2 are plotted on a coordinate plane. Which statement about the shapes is true? A. Shape 1 and shape 2 are not

denpristay [2]

Answer:

i think its D.

A reflection, a rotation, and a translation will prove that shape 2 is congruent to shape 1.

Step-by-step explanation:

5 0

3 years ago

Bobby put 1/3 of his lawn mowing money into his savings and uses the remaining 2/5 to buy a video game. If he has $12 left, how

Alexeev081 [22]

Given:

Bobby put 1/3 of his lawn mowing money into his savings

He uses the remaining 2/5 to buy a video game.

He has $12 left.

To find:

The amount did he have at first.

Solution:

Let x be the initial amount.

Bobby put 1/3 of his lawn mowing money into his savings. So, the remaining amount is

$x-\dfrac{1}{3}x=\dfrac{2}{3}x$

He uses the remaining 2/5 to buy a video game. Then the remaining amount is

$Remaining=\dfrac{2}{3}x-\dfrac{2}{3}x\times \dfrac{2}{5}$

$Remaining=\dfrac{2}{3}x-\dfrac{4}{15}x$

$Remaining=\dfrac{10x-4x}{15}$

$Remaining=\dfrac{6x}{15}$

$Remaining=\dfrac{2x}{5}$

It is given that the remaining amount is $12.

$12=\dfrac{2x}{5}$

$12\times 5=2x$

$60=2x$

Divide both sides by 2.

$\dfrac{60}{2}=x$

$30=x$

Therefore, Bobby have $30 at first.

6 0

3 years ago

Whats 14.635 rounded to the nearest cent?

Nutka1998 [239]

The cents are .635 and the greatest cent is 6. So, when it is rounded to the greatest value like estimating it will be 14.600 or 14.6. As easy as that. :)

7 0

3 years ago