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Dima020 [189]
3 years ago
15

( just #1 ) ( a and b

Mathematics
1 answer:
SVETLANKA909090 [29]3 years ago
8 0

Answer: AB ≅ DE

∠BAC≅∠DEF

Step-by-step explanation:

as AAS is a criterion where two angles and a side not included between the angles is congruent with the other triangle's two angles and the side not included between the angles.

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Find the total area for the regular pyramid.
hram777 [196]

Answer:

  • Option B

Step-by-step explanation:

Given is the hexagonal pyramid.

We know the radius of the base is same as its side.

<u>Find the base area:</u>

  • A = 3√3/2a²
  • A = 3√3/2*6² = 54√3

<u>Given the height and radius, find the side of the lateral triangular faces:</u>

  • \sqrt{8^2+6^2} =\sqrt{100} =10

Each of 6 triangles have sides 10, 10 and 6 units.

<u>Find the area using heron's formula:</u>

  • s = P/2 = (10*2 + 6)/2 = 13
  • s - a = s - b = 13 - 10 = 3
  • s - c = 13 - 6 = 7
  • A = \sqrt{s(s-a)(s-b)(s-c)} =\sqrt{13*3*3*7} =3\sqrt{91}

<u>Total surface area:</u>

  • S = 6*3\sqrt{91}+54\sqrt{3}  =18\sqrt{91}+54\sqrt{3}

Correct choice is B

3 0
2 years ago
Which shows sets to which the number<br> on the number line belongs
adoni [48]
Integer,Irrational is the answer
6 0
3 years ago
Read 2 more answers
Kipton puts one marshmallow on the scale and it weighs 7.2 grams. How much would 10 marshmallows weigh?
Maksim231197 [3]

Answer:

72 grams

Step-by-step explanation:

7.2 x 10 = 72

7 0
3 years ago
Find the slope of the line shown on the graph to the right
katrin2010 [14]

Answer:

it is 5/5, or if that doesn't work its 1 just in case you need to simplify

Step-by-step explanation:

from the first point, count how many squares go up, the count how many squares to the right, so up 5 over 5

3 0
2 years ago
Line 1 passes through the points A(-15,-8) and B(-3,0). Line 2 has
Katyanochek1 [597]

Answer:

The equation of line 3 is;

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

Step-by-step explanation:

Line 1 passes through the points A(-15,-8) andn B(-3,0)

Line 2 has equation shown below;

5x - 3y + 18 = 0

Line 3 is parallel to line 1 and has the same y-intercept as line 2.

We are to determine the equation of line 3.

<u>Equation of line 1:</u>

<u />

Slope = change in y-axis ÷ change in x-axis

The slope of line 1 = \frac{0 - -8}{-3 - -15}  = \frac{8}{12} = \frac{2}{3}

Picking another point (x,y) on the line;

Slope = \frac{y - 0}{x - -3}  = \frac{2}{3}

y = \frac{2}{3} x + 2 (this is the equation of line 1)

<u>Equation of line 2:</u>

<u />

We put the equation given, of line 2, in the cartesian plane format;

3y = 5x + 18

y = \frac{5}{3} x + 6

Finally, the equation of line 2 is;

y = 1\frac{2}{3} x + 6

<u>Equation of line 3:</u>

<u />

Given: Line 3 is parallel to line 1

The slopes of two parallel lines are the same so line 3 has a slope of \frac{2}{3}

Given: Line 3 has the same y-intercept as line 2

The y-intecept of line 2 is 6 (y-intercept is the value of y when x = 0)

So the equation of line 3 is;

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

3 0
3 years ago
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