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3 years ago

( 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.

Find the base area:

A = 3√3/2a²
A = 3√3/2*6² = 54√3

Given the height and radius, find the side of the lateral triangular faces:

$\sqrt{8^2+6^2} =\sqrt{100} =10$

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

Find the area using heron's formula:

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

Total surface area:

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

Correct choice is B

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2 years ago

Which shows sets to which the number on the number line belongs

adoni [48]

Integer,Irrational is the answer

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3 years ago

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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

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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

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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.

Equation of line 1:

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)

Equation of line 2:

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

Equation of line 3:

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