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3 years ago

Sides AB and BC are congruent. If BAC =22 , then ABC = °.

Mathematics

1 answer:

lina2011 [118]3 years ago

7 0

<span>ABC =22° because AB and BC are congruent
</span>

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Write an equation in slope intercept form that is perpendicular to 3x + 2y equals 12 and passes through the point (1,2)

Zigmanuir [339]

Answer:

The equation is y = (2/3)x + (4/3).

Step-by-step explanation:

First, you have to change the equation into slope-intecept formula to find its gradient (slope) :

$3x + 2y = 12$

$2y = - 3x + 12$

$y = - \frac{3}{2}x + 6$

Given that when a line is perpendicular to the other line, their slope value multiplied, will form -1. Next, we have to find the slope for line :

$m1 \times m2 = - 1$

$- \frac{3}{2} \times m2 = - 1$

$m2 = - 1 \div - \frac{3}{2}$

$m2 = \frac{2}{3}$

Lastly, we have to subatitute the x and y values into the equation, to find its intercept value :

$y = \frac{2}{3}x + b$

$let \: x = 1,y = 2$

$2 = \frac{2}{3} (1) + b$

$b = 2 - \frac{2}{3}$

$b = \frac{4}{3}$

$y = \frac{2}{3} x + \frac{4}{3}$

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3 years ago

If 3n=3a-6,which inequality below will make n a positive number?

kicyunya [14]

If 3n=3a-6 than the answer is B

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3 years ago

PLEASE HELP! Given: UL and PM, transversal GK ∠UJI and ______ are corresponding angles

Ksenya-84 [330]

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3 years ago

At princess lake there are 100 ducks. if the number of ducks at the lake doubles every 6 months, how many ducks will there be in

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3 years ago

Read 2 more answers

Given the following system of equations:

kompoz [17]

Answer:

(D) Divide the first equation, $-4x + 8y = 16$ , by 2.

Step-by-step explanation:

Given:

$-4x + 8y = 16 \ \ \ \ equation \ 1$

$2x + 4y = 8 \ \ \ \ equation \ 2$

We need to find the operation performed on equation so as to get resultant equation as:

$-2x + 4y = 8$

$2x + 4y = 8$

From Above we can see that there is no change in equation 2 with respect to resultant equation.

Also Resultant equation is simplified form of equation 1.

Simplifying equation 1 we get;

$-4x + 8y = 16$

We can see that 2 is the common multiple on both side.

Hence we will divide equation 1 with 2 we get

$\frac{-4x}{2}+\frac{8y}{2}=\frac{16}{2}\\\\-2x+4y=8$

which is the resultant equation.

Hence (D) Divide the first equation, $-4x + 8y = 16$ , by 2 is the correct option.

3 0

3 years ago