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3 years ago

PLEASE ANSWER ASAP!! e)What is the measure of ∠I? Explain

Mathematics

1 answer:

Zina [86]3 years ago

4 0

Answer:

$60^{\circ}$

Step-by-step explanation:

From the given figure it is clear that the stop board is a regular hexagon and ∠I is an exterior angle of the regular hexagon.

Exterior angle of a regular polygon with n sides $=\dfrac{360^{\circ}}{n}$

In a regular hexagon number of sides: n =6

Exterior angle of a regular hexagon $=\dfrac{360^{\circ}}{6}=60^{\circ}$

Since ∠I is an exterior angle of the regular hexagon, therefore, $\angle I=60^{\circ}$ .

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Two automobiles leave the same city simultaneously and both head towards another city. The speed of one is 10 km/hour greater th

Veronika [31]

Answer:

5091 Km/hr and 505 km/hr

Step-by-step explanation:

Speed = Distance / Time

Let the speed of first automobile be 'x' and that of the second be 'y'

Since speed of one is 10 times greater than the other. therefore;

⇒ x = 10 y

also let time for faster automobile be 'T' and time for slower auto mobile be 't'

Since first arrive one hour earlier than second, therefore;

⇒ t = T + 1

⇒ For first automobile; $x X T = 560$ ; substituting for 'x' and 'T'. Therefore;

⇒ $10y (t+1) = 560$

⇒ For Second automobile; $y X t = 560$

⇒ $y = \frac{560}{t}$

⇒ $10(\frac{560}{t})(t + 1) = 560$

⇒ 5600 + $\frac{5600}{t}$ = 560

⇒ 5600 - 560 = - $\frac{5600}{t}$

⇒ t = 1.11 hr

also ; T = 1.11 - 1 = 0.11 hr

Speed of 1st auto = 560/0.11 = 5091 km /hr

Speed of 2nd auto = 560/1.11 = 505 km/hr

8 0

2 years ago

Determine the vertex of the relation y = -2x2 - 8x + 1 by partial factoring. Show all of your steps.

lisabon 2012 [21]

1) the vertex of a parable is given for two points, ( -b/2a, -b2-4ac/4a)

2) Now substitute the values in the equation

x = - (-8)/2(-2) = 8/ -4 = -2

y = -(8^2-4(-2)(1)/ 4(-2) = -(64-8) /-8 = 56/8 = 7

v(-2,7)

5 0

3 years ago

6. h(x) = 10x – 4, find h(0.5)

e-lub [12.9K]

Answer:

see below

Step-by-step explanation:

x=0.5. by substitution we get 10(0.5)-4=5-4=1

6 0

2 years ago

Read 2 more answers

Now try it again with this addition sentence.

svlad2 [7]

What’s the question

8 0

2 years ago

Which equation does the graph of the systems of equations solve? 2 linear graphs. They intersect at 0,3

Rainbow [258]

Answer:

D. $2x+3=-8x+3$

Step-by-step explanation:

We have been given a graph of system of linear equations and we are asked to choose the system of equations representing the given graph.

Upon looking at our graph we can see that our lines intersect at point (0,3). To find the system of equations represented in the graph we will substitute x=0 in our given equations and see which equation gives us an output of 3.

Let us start with 1st option.

A. $-2x+3=8x-3$

Upon substituting x=0 we will get

$-2*0+3=8*0-3$

$0+3=0-3$

$3\neq-3$

Since we get 3 on one side of equation and -3 on other side of equation, therefore, option A is not a correct choice.

B. $-2x+4=-8x+4$

Upon substituting x=0 we will get,

$-2*0+4=-8*0+4$

$0+4=0+4$

$4=4$

Since this system of equations intersect at point (0,4), therefore, option B is not a correct choice as well.

C. $2x+4=8x-4$

Upon substituting x=0 we will get,

$2*0+4=8*0-4$

$0+4=0-4$

$4\neq-4$

Therefore, option C is not a correct choice as well.

D. $2x+3=-8x+3$

Upon substituting x=0 we will get,

$2*0+3=-8*0+3$

$0+3=0+3$

$3=3$

Since this system of equations intersect at point (0,3), therefore, option D is the correct choice.

4 0

3 years ago