Answer:
(a) Because it is an exterior angle
(b) The measure of angle 2 is 72°
Step-by-step explanation:
Angle 2 is an exterior angle because it is adjacent to the interior angle 1, and an exterior angle is equal to the sum of the measures of the two nonadjacent interior angles:
<2=30°+42°
<2=72°
Answer:
6x² - 2x - 6
Step-by-step explanation:
note (f - g)(x) = f(x) - g(x), thus
f(x) - g(x)
= 6x² - 4 - (2x + 2) ← distribute
= 6x² - 4 - 2x - 2 ← collect like terms
= 6x² - 2x - 6
Answer:
The resultant of two forces of 7N and 3N acting at a right angle to one another is √58 N.
Step-by-step explanation:
Let the magnitude of the force of 7N be denoted as “F₁” on the x-axis and the magnitude of the force of 3N be denoted as “F₂” on the y-axis.
We are given that the two forces make an angle of 90° to one another as shown in the figure attached below.
Also, in the figure, we can see that the resultant force is denoted as “F”.
Now,
The magnitude of the resultant force can be calculated by using the Pythagoras theorem,
∴ F = √[F₁² + F₂²]
⇒ F = √[7² + 3²]
⇒ F = √[49 + 9]
⇒ F = √[58] N
Answer:
Total number of population = 2043
Step-by-step explanation:
According to the question
Total number of parents = 1390
number of parents checked their teens social media = 653
⇒ Total number of population = 653 +1390
Total number of population = 2043
The value of X is 100 degree.
According to the statement
we have to find the value of x degree which represent the angle.
In this figure
we see that there are two angles which are vertically opposite angles and there is rule that the values of vertically opposite angles are always same.
So, due this reason Here the value of x is 100 degree
because in this figure the given angle which is 100 degree are vertical to the angle which we have to find and that angle which x, so, the value of x is same as the value of vertical angle.
so these angles are vertical angles. that's why x is 100 degree.
So, The value of X is 100 degree.
Learn more about ANGLES here brainly.com/question/2005046
#SPJ1
