Answer:
55 for the top left and 35 for the top right
Step-by-step explanation:
The sum of the angles of a triangle is 180 degrees
7x+6 + 6x -7 + 90 = 180
Combine like terms
13x+89 = 90
Subtract 89 from each side
13x+89-89 = 180-89
13x = 91
Divide by 13
13x/13 = 91/13
x =7
The top left angle is
7x+6
7*7+6 = 49+6 = 55
The top right angle is
6x-7
6*7-7 = 42-7 = 35
The formula for the volume of a box (assuming that it is in the shape of a cube) is <u>V=B^3</u>.
12=B^3
Now, do the cube root of 12 to find each dimension, all dimensions will be equal as it is a cube.
B= about 2.29 (when doing on a calculator keep full answer and do not round)
Now to find the volume of box B, multiply each dimension by 5
5(2.29...) times 5(2.29...) times 5(2.29...)
=1,500 m^3
Hope this helps!
Answer:
Area = 733 m² (to the nearest meter)
Step-by-step explanation:
<u></u>
<u>Formulae</u>
- Circumference of a circle = 2
r - Area of a circle = r²
(where r is the radius of the circle)
<u>Find the radius</u>
circumference = 96 m
Using the circumference of a circle formula:
⇒ 2r = 96
⇒ r = 96 ÷ 2 = 48
⇒ r = 48 ÷ = 48/
<u>Find the area</u>
radius r = 48/
Using the area of a circle formula:
⇒ A = r²
⇒ A = (48/)²
⇒ A = 2304/
⇒ A = 733.3859778...
⇒ A = 733 m² (to the nearest meter)
Slope of function B is "rising" 3 and going over to the right by 1. Representing the slope as 3/1 = 3.
Slope of function A is already giving. If you multiply the slope of function B by 2, it will equal the slope of Function A
Answer:
B complementary angles
Step-by-step explanation:
ED is a line.
Angles EAB and DAB are a linear pair, so they are supplementary.
Angle EAB is a right angle, so angle DAB is also a right angle.
The measure of angle DAB is 90 degrees.
The sum of the measures of angles a and b is 90 degrees.
That makes <a and <b complementary angles.
