The top is 4ft by 2 ft, area = 4 * 2=8 square feet.
The back is 1 1/2 ft by 4 feet, area = 1.5 *4 = 6 square feet.
The bottom equals the top = 8 square feet.
The front equals the back = 6 square feet.
The left side is 1 1/2 ft by 2 ft = 2 * 1.5 = 3 square feet.
The right side equals the left side = 3 square feet.
Total area = 8 + 6 + 8 + 6 + 3 + 3 = 34 square feet
Answer:
a = 70°, b = 140°
Step-by-step explanation:
use alternate interior angles
The interior angles of a straight line are 180°
a = 180°-110° = 70°
b = 180°-40° = 140°
//I'm sorry, but I'm not very fluent in English.
Ok so pythagorean theorem is
a^2+b^2=c^2
plug it in
8^2+15^2=17^2
64+225=289
289=289
yass it works so that means they do make a right triangle
yes, they make a right triangle because they're a pythagorean triple and pythagorean theorem works when you plug the numbers in.
Answer:
x= 81°, z= 99°, y°=68°
Step-by-step explanation:
considering the part of the triangle where 36° , 63° and x° is located as ΔABC.
to find the measure of x we use angle sum property.
We know that the sum of the angles of a triangle is always 180°. Therefore, if we know the two angles of a triangle, and we need to find its third angle, we use the angle sum property. We add the two known angles and subtract their sum from 180° to get the measure of the third angle.
so,
∠A + ∠B +∠C = 180°
36° + 63° + x° = 180°
99° + x° = 180°
x° = 180 - 99
x° = 81°
When two lines intersect each other at a single point, linear pairs of angles are formed. If the angles so formed are adjacent to each other after the intersection of the two lines, the angles are said to be linear. If two angles form a linear pair, the angles are supplementary, whose measures add up to 180°.
x° + z° = 180°
81° + z = 180°
z= 180 - 81
z= 99°
considering the next part of the triangle where 13° , z° and y° is located as ΔACD
to find the measure of y we use angle sum property.
∠A + ∠C + ∠D = 180°
13° + z° + y° = 180°
13°+99°+y°= 180°
112°+ y° = 180°
y°= 180- 112
y° = 68°
Answer:
16 and 82 degrees
Step-by-step explanation:
You can sum all of the angles together and solve for x.
(x - 1) + (5x - 3) + (5x - 3) = 180
11x - 7 = 180
11x = 187
x = 17
The first angle is 16 degrees. (17 - 1)
The other two angles are 82 degrees(5(17) - 3)
