Answer:
x = 30°.
Step-by-step explanation:
To calculate the value of 'x', we can first derive the value of one of the angles that make up the triangle.
Notice that there is an angle with a measure of 100°. The angle that makes up the angle of the triangle is called a Vertical Angle. Therefore, if the angle in red is 100°, the vertical angle, or the third angle of the triangle, is 100°.
There are two congruent sides to the triangle, as seen by the congruent lines. This means that both of the other two angles must be equal. Find the value of 'x' by:
180 - 100 = 80. Since the value of one angle was 100°, and the angles in a triangle must add up to 180°, you can simply subtract to find the sum of the other two angles.
(x + 10) + (x + 10) = 80
2x + 20 = 80
2x = 60
x = 30°.
The consecutive integers are 85,86,87
Explanation:
n
:
the first number
n
+
1
:
the second number
n
+
2
:
the third number
n
+
(
n
+
1
)
+
(
n
+
2
)
=
258
3
n
+
3
=
258
3
n
=
258
−
3
3
n
=
255
n
=
255
3
n
=
85
n
+
1
=
85
+
1
=
86
n
+
2
=
85
+
2
=
87
Answer:
i = right angle
ii = obtuse angle
iii = straight angle
iv = obtuse angle
v = acute angle
Step-by-step explanation:
an acute angle is an angle less than 90 degrees
an obtuse angle is an angle more than 90 degrees
a right angle is an angle equivalent to 90 degrees (looks like two straight lines perpendicular)
a straight angle is an angle equivalent to 180 degrees (looks like a straight line)
a reflex angle is an angle greater than 180 degrees
so, ...
i = right angle
ii = obtuse angle
iii = straight angle
iv = obtuse angle
v = acute angle
3/4 + 1 = 1.75 which is equivalent to 7/4
1- 3/4 = 0.25 which is equivalent to 1/4
the problem now looks like 7/4 / 1/4
you cancel out both 4
this problem simplified looks like 7/1
which is equivalent to 7 if you divide
23. The answer is D. If you multiply 0.8 by 5 you get 4 meters which means it would take 5 minutes. Multiplying it by 5 will give you a whole number therefore easier to find on the graph.
24. The answer is G. The square root of 5 is 2.23 and the square root of 2 is 1.4
