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3 years ago

13

What is the length of AB?

1 answer:

frosja888 [35]3 years ago

4 0

Answer:

B. 6

Step-by-step explanation:

We can see that through angles A and C that this triangle is an isosceles triangle. Knowing that, we can set up the equation 3x=4x-2. We can simplify by adding 2 two both sides. We get the equation 3x+2=4x. Then we subtract 3x from both sides. So therefore, 2=x. Length AB is 3x so we would do 2*3, which is equal to 6. So your answer would be B. 6.

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157/35=4.5
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3 years ago

Solve for x use the completing the square method x^2+6x=5

Mrac [35]

Answer:

$x_{1} =-3 +\sqrt{14} \\\\x_{2} =-3 -\sqrt{14}$

Step-by-step explanation:

$x^{2}$ +6x-5=0

we divide the coefficient of the X by half :

in this case: 6/2 = 3 , then we do the following

The result obtained is raised to square power: 3^2=9

we sum and subtract by 9 to maintain the balance of the equation:

$x^{2}$ +6x+9-9-5=0

we have:

$(x+3)^{2}$ -9-5=0

$(x+3)^{2}$ = 14

lets apply square root on both sides of the equation:

$\sqrt{(x+3)^{2}}=\sqrt{14}$

we know:

$\sqrt{a^{2}} = abs(a)$

so we have:

abs(x+3)= $\sqrt{14}$

from where two solutions are obtained

$x_{1} + 3 =\sqrt{14} \\\\x_{2} + 3 =-\sqrt{14}$

finally we have:

$x_{1} =-3 +\sqrt{14} \\\\x_{2} =-3 -\sqrt{14}$

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3 years ago

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How can you tell that a fraction is a unit fraction

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You can tell that a fraction is a unit fraction when it is over a unit of one. This is also known as unit rate.

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Answer:

Dimensions → (5 inches × 4 inches)

Step-by-step explanation:

Scale factor used for the drawing by Steffie = $\frac{1}{3}$

Since, scale factor = $\frac{\text{Dimension of the drawing}}{\text{Actual dimension}}$

For Steffie,

Actual length of the crate = $\frac{\text{Dimension of the drawing}}{\text{Scale factor}}$

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

= 45 inches

Actual width of the crate = $\frac{12}{\frac{1}{3} }$

= 36 inches

Since Brian used the scale factor = $\frac{1}{9}$

Length of the drawing = Actual length × Scale factor

= 45 × $\frac{1}{9}$

= 5 inches

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= 36 × $\frac{1}{9}$

= 4 inches

Therefore, dimensions of the drawing made by Brian are (5 inches × 4 inches)

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