Answer:
y = 167°
Step-by-step explanation:
The vertex of the triangle = 154° ( alternate angle to 154° )
The triangle has 2 equal legs so is isosceles with 2 base angles congruent
base angle =
=
= 13°
base angle and y are adjacent angles, lie on straight line AB and sum to 180°
y + 13° = 180° ( subtract 13° from both sides )
y = 167°
Answer:
A. 60°
Step-by-step explanation:
There's a very straight-forward explanation for this, thank god! XD
For this type of problem, there's a rule to follow for the outside angle. X and 120 should equal 180, so all you need to do is fill that gap.
180-120 = 60
60 is your answer because it completes the whole angle.
Answer:
3. 294 m²
4. 185,856 mm²
Step-by-step explanation:
To find the surface area of any figure, you can simply find the sum of the areas of all the sides. In question 3, the figure is a triangular prism that has two triangular bases and three rectangular sides. The measurements for the triangles are b = 9m and h = 6m. The formula for the area of a triangle is base times height divided by 2, or 9 x 6 = 54/2 = 27 m². However, since there are two triangular bases, the area for both is 54 m². The measurements for the other three rectangles are given:
7(10) + 8(10) + 9(10) = 240 m² + 54 m² = 294 m²
The surface area of a cube is much easier since all sides are equal and can be found using the formula:
SA = 6s², where 's' represents the measure of a side.
SA = 6(176)² = 185,856 mm²
A(R+T)=W
(A×R)+(A×T)=W
AR+AT=W
-AR from both sides
AT=W-AR
divide both sides by A
T=(W-AR)/A
Answer:
1.
Step-by-step explanation:
The > symbol shows that you have to be older than 13, and there must be a line underneath to signify a can be equal to the number (meaning you can be 13 to do this).