Given:
DE = (6x - 9) cm
EF = (4x + 4) cm
LM = 14 cm
MN = 16 cm
To find:
The value of x.
Solution:
<em>If three or more parallel lines intersect two transversals, then they cut off the transversals proportionally.</em>
Do cross multiplication.
Add 144 on both sides.
Subtract 56x from both sides.
Divide by 40 on both sides, we get
The value of x is 5.
Answer: The probability that the fruit is an orange or a pear is 
.
Step-by-step explanation:
Given : Emily has 12 fruits in her bowl.
She has 3 apples, 5 bananas, 1 pear and 3 oranges.
A fruit is selected at random.
P(orange) = 
P(pear)= 
Since both events of selecting orange and pear are mutually exclusive , so
The probability that the fruit is an orange or a pear = P(orange) + P(pear)
Therefore , the probability that the fruit is an orange or a pear is .
Answer:
2
Step-by-step explanation:
To put an equation into (x+c)^2, we need to see if the trinomial is a perfect square.
General form of a trinomial: ax^2+bx+c
If c is a perfect square, for example (1)^2=1, 2^2=4, that's a good indicator that it's a perfect square trinomial.
Here, it is, because 1 is a perfect square.
To ensure that it's a perfect square trinomial, let's look at b, which in this case is 2.
It has to be double what c is.
2 is the double of 1, therefore this is a perfect square trinomial.
Knowing this, we can easily put it into the form (x+c)^2.
And the answer is: (x+1)^2.
To do it the long way:
x^2+2x+1
Find 2 numbers that add to 2 and multiply to 1.
They are both 1.
x^2+x+x+1
x(x+1)+1(x+1)
Gather like terms
(x+1)(x+1)
or (x+1)^2.
Answer:
A
Step-by-step explanation:
Corresponding angles are angles that you can follow down the transversal and they will land in the same spot on the other parallel line. Look at angle 8. It is the bottom left angle in the group of 4 angles around it. If you slide it to the left it would land right on top of angle 4 which is also in the bottom left of its group of 4 angles.
You can do the same thing taking angle 8 down to angle 12.
