Original height of tree = (x+5) m
In triangle ABC x square = 5 square + 12 square
X square = 25+144
X square = 169
X = 13
Thus the original height of the tree was 13+15 = 18m
Answer:
A number line is used in the mathematical positioning of real numbers that include the numbers from positive infinity to negative infinity. This includes rational, irrational, fractions, and whole numbers. In this case, we are given with an expression that we have to reduce to lowest terms: negative seven and one over two and +1. The first one is equal to -7.5 while the other one is equal to +1. Positive numbers lie on the right side of zero (center of the line) while negative numbers lie on the left on the other hand. -7.5 lies between -8 and -7 while +1 lies exactly between 0 and 2. Both of which are positive numbers.
Step-by-step explanation:
Answer:
Angles on a straight line add up to 180°
Therefore, the interior angle D of the triangle = 180 - 150 = 30°
Draw a horizontal line of 8 cm - label DE.
Measure an angle of 30° from point D and draw a line.
Measure an angle of 90° from point E and draw a line.
These 2 lines will intersect at point F.
Erase the part of the lines that extend past the point of intersection.
Answer:
2
x
2
−
16
x
+
35
.
2
(
x
−
4
)
2
+
3
Set
y
equal to the new right side.
y
=
2
(
x
−
4
)
2
+
3
Use the vertex form,
y
=
a
(
x
−
h
)
2
+
k
, to determine the values of
a
,
h
, and
k
.
a
=
2
h
=
4
k
=
3
Find the vertex
(
h
,
k
)
.
(
4
,
3
)
Step-by-step explanation: