Answer:
Step-by-step explanation:
Let the number = x
3x + 9 = 2x - 6 Looks like you are going to get something negative here.
Subtract 2x from both sides.
3x - 2x + 9 = 2x - 2x - 6
x + 9 = -6
Subtract 9 from both sides.
x + 9 - 9 = - 6 - 9
Combine
x = - 15
Answer:
Length DE= 2√2
Length EF= 2√2
Step-by-step explanation:
The 45-45-90 rule is very special but this question is really simple. You have all the angles and one side.
STEPS:
1) Take 45 from angle D and use its sine to find side EF
2) sin45= x/4 => 2.82 or 2√2
3) Take either cos45 from angle D or use Pythagoras since we now have enough side lengths to use Pythagoras (faster for me to use cosine).
4) cos45=x/4 => 2.82 or 2√2
Further explanation:
If you don't understand the sine and cosines, here's a word play to help.
S O/H
C A/H
T O/A
S=Sine
C=Cosine
T= Tangent
O= Opposite
H= Hypotenuse
A= Adjacent
If you search a video on this word play it will help more since it is visual.
Good luck.
Common ratio = second term / first term = 12 / 8 = 1.5
Answer:
9 cm
Step-by-step explanation:
In a parallelogram, opposite sides are equal.
RS = PQ
4x + 1 = 2x + 5
Now, to find the value of x,
Step1. Subtract 1 from both sides
4x = 2x + 5 - 1
4x = 2x + 4
Step 2: Subtract 2x from both sides
4x - 2x = 4
2x = 4
Step 3: Divide both sides by 2
x = 4/2
x = 2
PQ = 2x + 5
= 2*2 + 5
= 4 + 5
PQ = 9 cm
