Theorem
The measure of an exterior angle of a triangle equals the sum of measures of the remote interior angles.
Angle STV is an exterior angle of triangle SRT.
The two remote interior angles to exterior angle STV are angles S and R.
Since the triangle is isosceles, with sides ST and TR equal, angles S and R are equal, so they both measure 27 deg.
<STV = 27 + 27
<STV = 54
Answer:
Step-by-step explanation:
The line is passing through 2 points: (0,9 and (3,3)
slope=(9-3)/(0-3)=-2
equation is : y-9=-2(x-0) or y=-2x+9
Answer:
A: 6 triangles with height 10.4 inches each and base 12 inche
B: 62.4 square inches
C: 374.4 square inches
Step-by-step explanation:
Part A: You can form a triangle by connecting E to the top of the segment and connecting the top of the segment to D. Recreating this with each section will create 6 triangles with height 10.4 inches each and base 12 inches.
Part B: The area of a triangle is A = 1/2b*h. Substitute h = 10.4 and b = 12.
A = 1/2*10.4*12 = 62.4
Part C: There are 6 triangles each with area 62.4. So the area of the whole figure will be 6*62.4 = 374.4.
Answer:
Step-by-step explanation:
We have:
(1) two trapezoids with bases b₁ = 7cm and b₂ = 5cm and the height h = 4cm
(2) three rectangles 3 cm × 7 cm, 3 cm × 4 cm and 3 cm × 5 cm.
The formula of an area of a trapezoid:
Substitute:
Calculate the areas of the rectangles:
The Surface Area:
C: 4 is the right answer
Step-by-step explanation:
Given
a1 = -3
a15 = 53
We know that explicit formula for the arithmetic sequence is:
For the 15th, term it will be
Adding 3 on both sides
Dividing both sides by 14
Hence,
C: 4 is the right answer
Keywords: Arithmetic sequence, Common Difference
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