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2 years ago

14

In ∆DFG, m∠D = 78o and m∠F = 32o. Which lists the sides in order from longest to shortest?

1 answer:

ioda2 years ago

8 0

Answer:

Side FG, Side DF, Side DG

Step-by-step explanation:

The angles of a triangle add up to 180° and since we know 2 of the angles add up to 110° the missing ∠G can be found by subtracting

180°-110°=70°

The opposite side of the largest angle is the largest side. The opposite is also true.

Since the angle from greatest to least is ∠D, ∠G, ∠F then the sides from greatest to least is Side FG, Side DF, Side DG

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Solve for W: P=2L + 2W<br><br>A. W=P-L<br>B. W= 1/2P - L<br>C. W= 1/2 P + L<br>D. W= 2P - L

svetlana [45]

Answer:

B

Step-by-step explanation:

$P=2L+2W$

$P-2L=2W$ (Subtract 2L from both sides of the equation)

$2W=P-2L$ (Symmetric Property of Equality)

$W=\frac{P-2L}{2}$ (Divide both sides of the equation by 2)

$W=\frac{P}{2} -\frac{2L}{2}$ ("Split" the fractions)

$W=\frac{1}{2}P-L$ (Simplify)

Hope this helps!

4 0

2 years ago

Mac earns 4927 bimonthly. how much does he earn per year

NISA [10]

118248
I think you need to do 2927x24

7 0

2 years ago

Read 2 more answers

Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used. Consider the functions given below. SEE F

Wewaii [24]

Answer:

1. $P(x)$ ÷ $Q(x)$ ---> $\frac{-3x + 2}{3(3x - 1)}$

2. $P(x) + Q(x)$ ---> $\frac{2(6x - 1)}{(3x - 1)(-3x + 2)}$

3. $P(x) - Q(x)$ ---> $\frac{-2(12x - 5)}{(3x - 1)(-3x + 2)}$

4. $P(x)*Q(x)$ --> $\frac{12}{(3x - 1)(-3x + 2)}$

Step-by-step explanation:

Given that:

1. $P(x) = \frac{2}{3x - 1}$

$Q(x) = \frac{6}{-3x + 2}$

Thus,

$P(x)$ ÷ $Q(x)$ = $\frac{2}{3x - 1}$ ÷ $\frac{6}{-3x + 2}$

Flip the 2nd function, Q(x), upside down to change the process to multiplication.

$\frac{2}{3x - 1}*\frac{-3x + 2}{6}$

$\frac{2(-3x + 2)}{6(3x - 1)}$

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

2. $P(x) + Q(x)$ = $\frac{2}{3x - 1} + \frac{6}{-3x + 2}$

Make both expressions as a single fraction by finding, the common denominator, divide the common denominator by each denominator, and then multiply by the numerator. You'd have the following below:

$\frac{2(-3x + 2) + 6(3x - 1)}{(3x - 1)(-3x + 2)}$

$\frac{-6x + 4 + 18x - 6}{(3x - 1)(-3x + 2)}$

$\frac{-6x + 18x + 4 - 6}{(3x - 1)(-3x + 2)}$

$\frac{12x - 2}{(3x - 1)(-3x + 2)}$

$= \frac{2(6x - 1}{(3x - 1)(-3x + 2)}$

3. $P(x) - Q(x)$ = $\frac{2}{3x - 1} - \frac{6}{-3x + 2}$

$\frac{2(-3x + 2) - 6(3x - 1)}{(3x - 1)(-3x + 2)}$

$\frac{-6x + 4 - 18x + 6}{(3x - 1)(-3x + 2)}$

$\frac{-6x - 18x + 4 + 6}{(3x - 1)(-3x + 2)}$

$\frac{-24x + 10}{(3x - 1)(-3x + 2)}$

$= \frac{-2(12x - 5}{(3x - 1)(-3x + 2)}$

4. $P(x)*Q(x) = \frac{2}{3x - 1}* \frac{6}{-3x + 2}$

$P(x)*Q(x) = \frac{2*6}{(3x - 1)(-3x + 2)}$

$P(x)*Q(x) = \frac{12}{(3x - 1)(-3x + 2)}$

4 0

3 years ago

857 runners entered a race. 354 more entered before

yan [13]

Answer:

D. 1,211

Step-by-step explanation:

857 + 354 = 1,211 runners

8 0

2 years ago

Read 2 more answers

3 /10 = 9 /k what is k

NemiM [27]

In order to isolate k, we would first cross multiply
3*k=9*10
3k=90

Then to isolate k, we would divide both sides by 3 to get:
K=30

Hope this helps

3 0

3 years ago

Read 2 more answers