Answer:

Step-by-step explanation:

Subtract 12 from both sides.

Divide both sides by 4.

Check our work with substitution:

We see that our work is correct.
Answer:
11/40 + 1/4 + 1/20
Step-by-step explanation:
Draw a Venn diagram: (as shown)
Consumer Ed. : 22-4=18
French : 20-4=16
Neither : 80-18-16-4=42
Using probability notation where P(A) means probability of event A occurring.
P(Consumer Ed.) = 22/80
P(French) = 20/80
P(Both) = 4/80
<em>'or ' </em>in the question means you add.
=> 22/80 + 20/80 + 4/80
=> 11/40 + 1/4 + 1/20
Answer:
1)B:63°
2)A:59°
Step-by-step explanation:
1.ABC is a right triangle at C then angle ACB=90°(right angle)
Angle CAB=27°(see the given)
measure of the angles in any triangle is 180°
then angle CBA=
measure of all the angles - (measure ACB+measure CAB)
=180°-(90°+27°)
=63°
2. Same explanation of angle B:
in the right triangle DEF: angle DEF=90°
angle D=31°(given)
Then measure of angle A=180°-(angle E + angle D)
=180-(90+31)=59°
Let x be width.
Length: 2x
98=2x(x)
2x^2=98
x^2=98/2
x^2=49
x= sqrt(49)
x= 7 (not -7 because distance cannot be in negatives)
Therefore, the dimensions are 7"x14"
Hope I helped :)