Answer:
D. 140°.
Step-by-step explanation:
We have been given an image of two intersecting lines. We are asked to find the measure of angle 3.
We know that when two line intersect they form two pairs of vertical angles.
Since angle 3 and angle 4 are vertical angle, they will be equal in measure. Using this information, we can set an equation as:
Upon substituting the expression for angle 3 and angle 4 is our equation we will get:
Upon dividing both sides of our equation by -1, we will get:
Upon substituting in expression for angle 3, we will get:
Therefore, the measure of angle 3 is 140 degrees and option D is the correct choice.
<u>Answer:</u>
24
<u>Step-by-step explanation:</u>
To find ƒ(6), we have to substitute x = 6 into the expression for ƒ(x):
ƒ(6) = (6)² - 2(6)
= 36 - 12
= 24
Step-by-step explanation:
Put 1 on the far left and 4 on the far right.
Put. 2 the top and 3 at the bottom.
Put 5 in the centre.
There are 2 ways you can find to to make all the numbers add up to 5.
The number in the centre is the common anwser to the sums.
There is a total of 24 students in the class.
The probability of choosing a girl is 16/24. Which reduces down to 2/3 or 66%.
The probability of choosing a boy is 8/24. Which reduces to 1/3 or 33%.
So the student has a 66% chance of choosing a girl and 33% chance for a boy.
Answer:
b = √45
Step-by-step explanation:
From the figure we get, There are two right angled triangle.
In large triangle 'b' is the base, height = 6 and hypotenuse = 9
<u>To find the value of b</u>
Hypotenuse² = Base² + Height²
Here,
9² = b² + 6²
b² = 9² - 6² = 81 - 36 = 45
Therefore, b = √45
