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3 years ago

Find the missing measurement of AC

Mathematics

1 answer:

IgorLugansk [536]3 years ago

8 0

Answer:

AC = 78

Step-by-step explanation:

Since all the angles are equal (60°), this is an equiangular triangle (meaning all angles re equal). Equiangular triangles are also equilateral meaning that all sides are equal)

We are given then one side is 11x-32 and another side is 5x+28

These two sides must be equal so we can set them equal to each other and solve for x

11x - 32 = 5x + 28

6x - 32 = 28

6x = 60

x = 10

If x = 10, then we can substitute x into either of the two equations to find the length of all three sides (since all sides have equal length)

11(10)-32 = 110 - 32 = 78

AB = BC = AC = 78

AC = 78

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How to convert 2500mcg to mg

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Step-by-step explanation:

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3 years ago

X/3-15=-2 solve for x

Otrada [13]

Answer:

x = 45

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

x/3-(15)=0

Step 1 : Simplify

$\frac{x}{3}$

Equation at the end of step 1 :

$\frac{x}{3}$ - 15 = 0

Step 2 :

Rewriting the whole as an Equivalent Fraction :

Subtracting a whole from a fraction

Rewrite the whole as a fraction using 3 as the denominator :

$15=\frac{15}{1} =\frac{15*3}{3}$

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

$\frac{x-(15*3)}{3} =\frac{x-45}{3}$

Equation at the end of step 2 :

$\frac{x-45}{3} =0$

Step 3 :

When a fraction equals zero :

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

$\frac{x-45}{3}*3=0*3$

Now, on the left hand side, the 3 cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

x-45 = 0

Solving a Single Variable Equation :

Solve : x-45 = 0

Add 45 to both sides of the equation :

x = 45

One solution was found :

x = 45

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3 years ago

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Step-by-step explanation:

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3 years ago

Write an equation through the line point (-2,5) with slope 4

dybincka [34]

Answer:

Step-by-step explanation:

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3 years ago

On a coordinate plane, two parabolas open up. The solid-line parabola, labeled f of x, goes through (negative 2, 4), has a verte

statuscvo [17]

Answer:

Option 4.

Step-by-step explanation:

The vertex form of a parabola is

$g(x)=a(x-h)^2+k$ ... (1)

where, a is a constant (h,k) is vertex.

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$f(x)=x^2$

The vertex of the function is (0,0) and it goes through (-2, 4) and (2, 4).

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Substitute h=5 and k=2 in equation.

$g(x)=a(x-5)^2+2$

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Divide both sides by 4.

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Substitute a=1 in equation (2).

$g(x)=1(x-5)^2+2$

$g(x)=(x-5)^2+2$

The function g(x) is $g(x)=(x-5)^2+2$ .

Therefor, the correct option is 4.

3 0

3 years ago

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