Answer:
40 ft
Step-by-step explanation:
If two polygons are congruent to one another, therefore, it implies that the angles and sides of one is congruent to the corresponding sides and angles of the other.
Given that ABCD is congruent to EFGH, therefore:
CD ≅ GH
Since CD = 40 ft, therefore, GH will be 40 ft.
Answer:
y = 8x + 3
Step-by-step explanation:
The line we are describing here is line p;
slope of line p = 8
y- intercept = (0,3)
y-intercept of a line is the point where it crosses the y-axis. At this point, the x = 0
So;
Slope of the line = 8
y-intercept = 3
Equation of the line;
y = mx + c
y and x are the coordinates
m is the slope
c is the y-intercept
y = 8x + 3
Answer:
Answer = 93.6
Step-by-step explanation:
frist multipy 9 x 13 to get 117 than divided it by 2 = 58.5, than times it by 3 since there is three sides.
(58.5 x 3 is 175.5)
Than for the base multipy 7.8 x 9 = 70.2, but since its a tri, divided it by 2 = 35.1.
Add 58.5 and 35.1 to get 93.6
Answer:
x = sqrt(32)
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem
a^2+ b^2 = c^2
7^2 + x^2 = 9^2
49+x^2 = 81
Subtract 49 from each side
x^2 = 81-49
x^2 =32
Take the square root of each side
sqrt(x^2) = sqrt(32)
x = sqrt(32)
Answer:
Step-by-step explanation:
The volume of the pyramid = (1/3)*area of base *height
= (1/3)*10*24*13 = 1040 cubic units.
The total surface area = area of rectangular base + area of 2 isosceles triangles with a base of 24 units + area of 2 isosceles triangles with a base of 10 units.
Area of rectangular base = 24*10 = 240 sq units.
The slant height of isosceles triangles with a base of 24 units = [(10/2)^2+13^2]^0.5 = [25+169]^0.5 = 194^0.5 = 13.92838828 units.
The area of 2 isosceles triangles with a base of 24 units 2*24*13.92838828/2 = 334.2813187 sq units.
The slant height of isosceles triangles with a base of 10 units = [(24/2)^2+13^2]^0.5 = [144+169]^0.5 = 194^0.5 = 17.69180601 units.
The area of 2 isosceles triangles with a base of 10 units 2*10*17.69180601/2 = 176.9180601 sq units.
The total surface area of the pyramid = 240 + 334.2813187 + 176.9180601 = 591.9731247 sq units.
