Answer:
The measure of x is 
Step-by-step explanation:
we know that
The formula to calculate the sum of the internal angles of a polygon is equal to
where
n is the number of sides
In this problem we have
substitute
Find the measure of each internal angle
Divide the sum of the internal angles by the number of sides
The value of x is half the measure of internal angle
so
Probability is expressed as
number of favourable outcomes/total number of possible outcomes
Looking at the given scenario, the number os students that earned a grade of A is 5. Since we are concerned with these students, then, the number of favourable outcomes is 5.
The total number of students for all grades is 35. This means that the total number of possible outcomes is 35
Thus, the probability that a student earns a grade of A is
5/35
= 0.14
Answer:
Step-by-step explanation:
The equation of a straight line can be represented in the slope intercept form as
y = mx + c
Where
m = slope = (change in the value of y in the y axis) / (change in the value of x in the x axis)
The equation of the given line is
x + 2y = 4
2y = - x + 4
y = -x/2 + 4/2
y = - x/2 + 2
Comparing with the slope intercept form, slope = - 1/2
If two lines are perpendicular, it means that the slope of one line is the negative reciprocal of the slope of the given line.
Therefore, the slope of the line passing through (- 2, 1) is 2
To determine the intercept, we would substitute m = 2, x = - 2 and y = 1 into y = mx + c. It becomes
1 = 2 × - 2 + c = - 4 + c
c = 1 + 4 = 5
The equation becomes
y = 2x + 5
The measure of CB from the given figure is 8cm
<h3>What is a triangle?</h3>
A triangle is 2 dimensional shape with 3 sides and angles. The types of triangle that we have are;
- Equilateral triangle
- Scalene triangle
- Isosceles
The given triangle is a scalene triangle since <u>none of the sides are equal</u>
From the figure shown, we can see that the mea<em>sure of DF is equivalent to CE and EB</em>
Since CB = CE + EB
Given the following parameter
DF = 4cm
CE = EB = DF = 4cm
Substitute
CB = 4cm + 4cm
CB = 8cm
Hence the measure of CB from the given figure is 8cm
Learn more on triangles here; brainly.com/question/25215131
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We have: x × 
÷ 
= x × × 
= x × 
= x ÷ 
ANSWER: E. 4/5
Ok done. Thank to me :>
