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KiRa [710]
3 years ago
8

The vertex angle of an isosceles triangle is 20° less than the sum of the base angles. Which system of equations can be used to

find the measure of the vertex and base angles?
A)
v + 2b = 180; 2b - 20 = v


B)
v + 2b = 180; 2b + 20 = v


C)
v - 2b = 180; v + 2b = -20


D)
v - 2b = 180; -2b - 20 = v
Mathematics
1 answer:
WINSTONCH [101]3 years ago
6 0

The answer to the above question can be explained as under -

We know that, the sum of angles of triangle is 180°.

So, vertex angle plus base angles are equal are equal to 180°.

Let the vertex angle be represented by "v" and base angles be represented by "b".

Thus,  v + b + b = 180°

So,  v + 2b = 180°

Next, the question says, the vertex angle is 20° less than the sum of base angles.

Thus, 2b - 20° = v

<u>Thus, we can conclude that the correct option is A) v + 2b = 180°, 2b - 20° = v</u>

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2. A 10 Mg truck hauls a 20 Mg trailer. If the unit starts from rest on a level road with a
yanalaym [24]

Answer:

<em>The acceleration on the unit is 0.667 m/s^2</em>

<em>The tension on the draw-bar is 13.34 kN</em>

Step-by-step explanation:

The mass of the truck = 10 Mg = 10 x 10^3 kg

The mass of the trailer = 20 Mg = 20 x 10^3 kg

Tractive force from the truck = 20 kN = 20 x 10^3 N

The total mass of the unit = 10 Mg + 20 Mg = 30 Mg = 30 x 10^3 kg

The tractive force on the unit will produce an acceleration that is given as

F = ma

where

F is the tractive = 20 x 10^3 N

m is the mass of the unit = 30 x 10^3 kg

a is the acceleration of the unit = ?

substituting into the equation

20 x 10^3 = 30 x 10^3 x a

a = (20 x 10^3)/(30 x 10^3) = <em>0.667 m/s^2</em>

the tension on the draw-bar T is gotten from considering only the mass that is pulled by the draw-bar which is 20 Mg

The acceleration on the unit = 0.667 m/s^2

The drawn mass = 20 Mg = 20 x 10^3 kg

The tension on the draw bar = ma = 20 x 10^3 x 0.667 = 13340 N

= <em>13.34 kN</em>

8 0
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Answer: $536.40

Step-by-step explanation:

8.94 * 2 = 17.88

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357.60 + 178.80 = $536.40

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Step-by-step explanation:

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Sketch the graph of y = negative 2 x squared + x + 1 using your graphing calculator. What are the x-intercepts of this graph? a.
lions [1.4K]

The x-intercept is (1, 0) and (-0.5, 0).

The correct option is (a)

<h3>What is intercept?</h3>

The x-intercept is the point where a line crosses the x-axis, and the y-intercept is the point where a line crosses the y-axis.

Given function is:

f(x)= -2x^{2}+x+1

So, The graph of this equation is attaches below.

The x- intercepts of this graph

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