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3 years ago

A angles of an equilateral triangle are congruent. If x represents the measure of the third angle of the triangle, what is x?

Mathematics

1 answer:

Tatiana [17]3 years ago

8 0

Answer:

Step-by-step explanation:

Since x is the measure of the third angle and all 3 angles are congruent then

All 3 angles have a measure of x

The sum of the 3 angles in a triangle = 180°, this

x + x + x = 180 ← is the required equation

3x = 180 ( divide both sides by 3 )

x = 60

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Which equations and/or functions represent the graphed line? Select four options. f(x) = 0.2x - 4

Vanyuwa [196]

Answer:

f(x) = 0.2x - 4 (incorrect)

f(x) = 0.5x + 2 (correct)

f(x) = 1/2x + 2 (correct)

y – 3 = 1/2(x – 2) (correct)

y – 1 = 0.5(x + 2)

Step-by-step explanation:

Step 1 : Find two coordinates

(0, 2) (-4, 0)

Step 2 : Find the slope

Slope = m = Y2-Y1/X2-X1

m = 0-2/-4-0

m = -2/-4

m = 1/2 or 0.5

Step 3 : Find the y-intercept

Y-intercept is where the line intersects the y-axis

c = 2

Step 4 : Form the equation y=mx + c

Given Equations and their slope intercept forms:

1) f(x) = 0.2x - 4

This is incorrect because slope is 1/2 or 0.5 and y intercept is 2

2) f(x) = 1/2x + 2

y = 1/2x + 2

This is correct because slope is 1/2 or 0.5 and y intercept is 2

3) f(x) = 0.5x + 2

y= 0.5x + 2 (As m=0.5)

This is correct because slope is 1/2 or 0.5 and y intercept is 2

4) y – 3 = 1/2(x – 2)

Rearranging in slope intercept form:

y-3=1/2x - 1

y = 1/2x-1+3

y = 1/2x + 2

This is correct because slope is 1/2 or 0.5 and y intercept is 2

5) y – 1 = 0.5(x + 2)

y -1 = 0.5x+1

y = 0.5x +1+1

y = 0.5x + 2

This is correct because slope is 1/2 or 0.5 and y intercept is 2

6 0

3 years ago

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Bonus: Give the nth term for the sequence below:

Elenna [48]

Answer: 256×4=1024

Next item is determined by recognizing how the previous items are

calculated.

1×4=4

4×4=16

16×4=64

64×4=256

256×4=?The next item is

256×4=1024

8 0

3 years ago

If f(x) = sin(x/2), then there exists a number c in the interval pie/2 < x < 3pie/2 that satisfies the conclusion of the m

elena-14-01-66 [18.8K]

For the answer to the question above,
The mean value theorem states the if f is a continuous function on an interval [a,b], then there is a c in [a,b] such that:
f ' (c) = [f(b) - f(a)] / (b - a) 

So [f(a) - f(b)] ( b - a ) = [sin(3pi/4) - sin(pi/4)]/pi 
= [sqrt(2)/2 - sqrt(2)/2]/pi = 0
So for some c in [pi/2, 3pi/2] we must have f ' (c) = 0

In general f ' (x) = (1/2) cos (x/2)
We ask ourselves for what values x in [pi/2, 3pi/2] does the above equation equal 0.
0 = (1/2) cos (x/2)
0 = cos (x/2)
x/2 = ..., -5pi/2, -3pi/2, -pi/2, pi/2, 3pi/2, 5pi/2,...
x = ..., -5pi, -3pi, -pi, pi. 3pi, 5pi, ....
and x = pi is the only solution in our interval.

So c = pi is a solution that satisfies the conclusion of the MVT

3 0

3 years ago

UHH I NEED HELP PLSSS , WILL MARK BRAINLIEST

zzz [600]

Answer:

61.2

Step-by-step explanation:

i took the quiz it was a quiz for me but i dont know for you

8 0

3 years ago

Expand and simplify (x - 2)(x - 1)

atroni [7]

Answer:

x^2-3x+2

Step-by-step explanation:

distribute and combine like terms

8 0

3 years ago

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