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Ivenika [448]
3 years ago
10

I need help finishing this.

Mathematics
1 answer:
tekilochka [14]3 years ago
3 0

Answer:

3x³

Step-by-step explanation:

(81x¹² / 3x³)^⅓

(27x⁹)^⅓

You got a good start.  To finish, rewrite 27 as 3³, then multiply the exponents of each factor by ⅓.

(3³ x⁹)^⅓

3x³

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What's time 21/2 hours after 11:45 AM?
Snezhnost [94]
2 and 1/2 hours is 2 hours and 30 minutes
So
1145+230=13:75 (3:15 is your answer)

7 0
3 years ago
10. 10. If AB bisects CAF, and m&lt;EAF = 72°,<br>then the m&lt;BAF =​
never [62]

The measure of ∠BAF is 54°.

Solution:

DF and CE are intersecting lines.

m∠EAF = 72° and AB bisects ∠CAF.

∠EAF and ∠DAC are vertically opposite angles.

Vertical angle theorem:

<em>If two lines are intersecting, then vertically opposite angles are congruent.</em>

∠DAC ≅ ∠EAF

m∠DAC = 72°

<em>Sum of the adjacent angles in a straight line = 180°</em>

m∠DAE + m∠EAF = 180°

m∠DAE + 72° = 180°

Subtract 72° from both sides.

m∠DAE = 108°

∠CAF and ∠DAE are vertically opposite angles.

⇒ m∠CAF = m∠DAE

⇒ m∠CAF = 108°

AB bisects ∠CAF means ∠CAB = ∠BAF

m∠CAB + m∠BAF = 108°

m∠BAF + m∠BAF = 108°

2 m∠BAF = 108°

Divide by 2 on both sides, we get

m∠BAF = 54°

Hence the measure of ∠BAF is 54°.

4 0
3 years ago
In the figure, the perimeter of hexagon ABCDEF is approximately
Nikitich [7]
First solve the length of side BC, CD, EF and FA   Since BC = CD = sqrt( 10^2 + 10^2) BC = CD = 14.1421  
FA = EF = sqrt(10^2 + 20^2) = 23.3607  
So the perimeter = 10 + 10 + 14.1421 + 14.1421 + 23.3607 = 93

The area is made up be triangle FAE, rectangle ABDE and triangle BCD
A = 0.5(20)(20) + (10)(20) + 0.5(20)(10)
<span>A = 500 sq units</span>
7 0
3 years ago
Read 2 more answers
Which angles are alternate interior angles?
netineya [11]

Answer:

Angles RSQ and WVX are alternate interior angles.

Hope this helps!

7 0
3 years ago
14) The perimeter of this isosceles triangle is represented by the
Galina-37 [17]

The isosceles triangle is missing so i have attached it.

Answer:

Length of unknown side = 5p + 6

Step-by-step explanation:

In isosceles triangle, two of the sides are equal. In the attached triangle, we see that one of the equal sides is given as 5p + 3.

Thus,the second equal side is also 5p + 3.

Now, perimeter of a triangle is the sum of the three sides.

We have two sides and let the third side be denoted as x.

Thus;

Perimeter = (5p + 3) + (5p + 3) + x

We are given perimeter = 15p + 12

Thus;

(5p + 3) + (5p + 3) + x = 15p + 12

10p + 6 + x = 15p + 12

Rearranging, we have;

x = 15p - 10p + 12 - 6

x = 5p + 6

4 0
3 years ago
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