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svetlana [45]
3 years ago
7

I need to know how to prove if an angle is congruent or not.

Mathematics
1 answer:
mash [69]3 years ago
8 0
Prove it by explain how the shapes are interacted or not
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I need to know the surface area.
egoroff_w [7]
Id say it 93.57 i believe

8 0
2 years ago
Sadie simplified the expression √54a^7b^3, where a>=0, as shown: √54a^7b^3= √3^2•6•a^2•a^5•b^2•b=3ab √6a^5b
Tamiku [17]

Answer:

We are to find the error made by Sadie and then find the correct simplification.

The error Sadie made is that she wrote a^7 as a^2 * a^5 instead of a^6 * a.

The square root of a^6 is a^3 and so she could have further simplified.

The correct simplification is shown below:

\sqrt{54a^7b^3} = \sqrt{2 * 3 * 3 * 3 * a^6 * a * b^2 * b} \\  \\= \sqrt{3^2 * a^6 * b^2 * 6 * a * b} \\\\= 3a^3b\sqrt{6ab}

4 0
2 years ago
Does anyone know the formula for the volume of a oblique hexagonal prism?​
Scorpion4ik [409]

Answer:

, volume = [(3√3)/2]a2h cubic units

Step-by-step explanation:

The formula for the volume of a hexagonal prism is, volume = [(3√3)/2]a2h cubic units where a is the base length and h is the height of the prism.

8 0
2 years ago
In triangle abc, the perimeter is 36, and ab=ac. line ad is perpendicular to bc at the point d, and triangle abd's perimeter is
Musya8 [376]
Let x=ab=ac, and y=bc, and z=ad.

Since the perimeter of the triangle abc is 36, you have:

Perimeter of abc = 36
ab + ac + bc = 36
x + x + y = 36
(eq. 1) 2x + y = 36

The triangle is isosceles (it has two sides with equal length: ab and ac). The line perpendicular to the third side (bc) from the opposite vertex (a), divides that third side into two equal halves: the point d is the middle point of bc. This is a property of isosceles triangles, which is easily shown by similarity.

Hence, we have that bd = dc = bc/2 = y/2 (remember we called bc = y).

The perimeter of the triangle abd is 30:

Permiter of abd = 30
ab + bd + ad = 30
x + y/2 + z =30
(eq. 2) 2x + y + 2z = 60

So, we have two equations on x, y and z:

(eq.1) 2x + y = 36
(eq.2) 2x + y + 2z = 60

Substitute 2x + y by 36 from (eq.1) in (eq.2):

(eq.2') 36 + 2z = 60

And solve for z:

36 + 2z = 60 => 2z = 60 - 36 => 2z = 24 => z = 12

The measure of ad is 12.

If you prefer a less algebraic reasoning:

- The perimeter of abd is half the perimeter of abc plus the length of ad (since you have "cut" the triangle abc in two halves to obtain the triangle abd).

- Then, ad is the difference between the perimeter of abd and half the perimeter of abc:

ad = 30 - (36/2) = 30 - 18 = 12
4 0
3 years ago
Read 2 more answers
150% of 66(Need the work shown)
ANTONII [103]
66 is the 100%
we can solve this problem by the rule of three.

Therefore:
66------------------------100%
x--------------------------150%

x=(66 * 150%) / 100%=99

Answer 150% of 66 is 99.

Other method:
150% of 66=1.5 *66=99

Answer: 150% of 66 is 99.
4 0
2 years ago
Read 2 more answers
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