<h3>
Answer: y - 1 = 3(x - 2)</h3>
Explanation:
The point-slope form is this general template
y - y1 = m(x - x1)
We replace m with the given slope 3, so we get to this
y - y1 = 3(x - x1)
Then replace the given point (x1, y1) with (2, 1) to end up with
y - 1 = 3(x - 2)
Answer:
10.4 cm
Step-by-step explanation:
The volume (V) of a pyramid is calculated using
V =
area of base × height (h)
area of square base = 6² = 36, thus
× 36h = 120
12h = 120 ( divide both sides by 12 )
h = 10 cm
To find the slant height (s) consider the right triangle from the vertex to the midpoint of the base and from the midpoint of base to the side.
That is a right triangle with hypotenuse s and legs 10(h) and 3 (midpoint of the base )
Using Pythagoras' identity then
s² = 10² + 3² = 100 + 9 = 109
Take the square root of both sides
s =
≈ 10.4 cm
Answer:
a = 127°
Step-by-step explanation:
The 3 angles lie on a straight line and have a sum of 180°, that is
15° + a + 38° = 180°
53° + a = 180° ( subtract 53° from both sides )
a = 127°
The sum of the measures of the interior angles of the chess board is equal to 720°.
<h3>What is a polygon?</h3>
A polygon can be defined as a two-dimensional geometric shape that comprises straight line segments and a finite number of sides. Also, some examples of a polygon include the following:
- Triangle
- Quadrilateral
- Pentagon
- Hexagon
- Heptagon
- Octagon
- Nonagon
<u>Note:</u> The number of sides (n) of a hexagon is 6.
In Geometry, the sum of the interior angles of both a regular and irregular polygon is given by this formula:
Sum of interior angles = 180 × (n - 2)
Sum of interior angles = 180 × (6 - 2)
Sum of interior angles = 180 × 4
Sum of interior angles = 720°.
Read more on sum of interior angles here: brainly.com/question/13293407
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Remark
If the lines are parallel then triangle RQS will be similar to triangle RTP
From that, all three lines in one triangle will bear the same ratio to all three lines of the second triangle.
Givens
PQ = 8
QR = 5
RS = 15
ST = x + 3
Ratio
QR/RP = RS/RT
Sub and solve
RP = 5 + 8
RP = 13
RT = 15 + x + 3
RT = 18 + x
5/13 = 15 / (18 + x) Cross multiply
5(18 + x) = 195 Remove the brackets on the left.
90 + 5x = 195 Subtract 90 from both sides.
5x = 105 Divide by 5
x = 105/5
x = 21 Answer <<<<<<<