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3 years ago

What is the first step in proving that the sum of the measures of triangle XYZ is 180 degrees?

1 answer:

6 0

In geometry, the definition of a triangle is a two-dimensional closed figure with three sides. Aside from this, it is proven that the sum of the angles of a triangle is 180°. This is a triangle's innate property. Therefore, any closed shape with three sides is a triangle and it follows that the sum of the three angles is equal to 180°.

It is logical therefore, that the first step in proving this is by using the definition of a triangle.

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How many solutions does the system have?

Hunter-Best [27]

You ca go to tiger math and put in any equation and it will give you the answer to any of them.

7 0

3 years ago

The points (3, 0) and (6, 9) fall on a particular line. What is its equation in slope-intercept form?

vekshin1

Answer:

(x2-x1)+(y2-y1)

Step-by-step explanation:

X2=0

X1=1

y2=9

y1=6

(0-1)+(9-6)

-1+3

8 0

2 years ago

How do I solve this STATS question?

k0ka [10]

We have the following data:

Margin of Error = E = 2.7 % = 0.027
Sample size = n = 900
Proportion of adults in favor = p = 60% = 0.6

We need to find the confidence level. For this first we need to find the z value.

The margin of error for a population proportion is given as:

$E=z* \sqrt{ \frac{p(1-p)}{n} }$

Using the values, we get:

$0.027=z* \sqrt{ \frac{0.6*0.4}{900} } \\ \\ 
0.027=z*0.016 \\ \\ 
z= \frac{0.027}{0.01633} \\ \\ 
z=1.65$

As, seen from the z table, z=1.65 corresponds to the confidence level 90%. So, the answer to this question is option B

7 0

3 years ago

Write the equation of the line perpendicular to 2x+3y=9 that passes through (-2,5). Write your answer in slope-intercept form. S

Harman [31]

ANSWER

$y = \frac{3}{2} x + 8$

EXPLANATION

The line given to us has equation,

$2x + 3y = 9$

We need to write this equation in the slope intercept form to obtain,

$3y = - 2x + 9$

$\Rightarrow \: y = - \frac{2}{3}x + 3$

The slope of this line is

$m_1 = - \frac{2}{3}$
Let the slope of the perpendicular line be

$m_2$

Then
$m_1 \times m_2 = - 1$

$- \frac{2}{3} m_2= - 1$

This implies that,

$m_2 = - 1 \times - \frac{3}{2}$

$m_2 = \frac{3}{2}$

Let the equation of the perpendicular line be,

$y = mx + b$

We substitute the slope to get,

$y = \frac{3}{2} x + b$

Since this line passes through
$(-2,5)$
it must satisfy its equation.

This means that,

$5= \frac{3}{2} ( - 2)+ b$

$5 = - 3 + b$

$5 + 3 = b$

$b = 8$

Wherefore the slope-intercept form is

$y = \frac{3}{2} x + 8$

6 0

3 years ago

A rocket is launched in the air. The graph below shows the height of the rocket hh in meters after tt seconds.

fgiga [73]

Answer:

The answers are=

(38, 0)
time
in seconds
(19, 1768.9)
Height
in meters

3 0

1 year ago