Factor out the common term 4
-4(2x - y) = 24
Divide both sides by -4
2x-y= - 24/4
Simplify24/4 to 6
2x -y = -6
Subtract 2x from both sides
-y = -6 - 2x
Multiply both sides by -1
y = 6 + 2x
Answer:
<1=33, <2=90, <3=57
Step-by-step explanation:
Lines A and B are parallel lines. Find the measures of angles 1,2, and 3.
Answer:
Density of steel = 80.73 gm/
Step-by-step explanation:
The figure is made up of cuboid and square pyramid.
Height of cuboid, h = 9 cm
Length of cuboid, l = 6 cm
Width of cuboid, w = 6 cm
Volume of cuboid is given by the formula:
Density of Wood , 
= 0.68g/
We know that formula of Density is:
Putting the values:
Total weight = 
970 = 220.32 
= 749.68 gm
Volume of pyramid is given as:
Base is a square with side 6 cm
Density of Steel/Pyramid:
Answer:
2/4 or 1/2
Step-by-step explanation:
2/4 or 1/2 is the greater fraction.
<h2>Question 9:</h2>
1. Use Pythagorean Theorem (a²+b²=c²) to solve for missing side of triangle and rectangle. x²+16²=20², or x²+256=400. So, x²=144, and x=12
2. Use formula: 1/2(h)(b1+b2). 1/2 (12) (30+14).
3. Simplify: 1/2 (12) (44)=1/2(528)=264
Area of whole figure is 264 square mm.
<h2>Question 10:</h2>
Literally same thing but with trigonometry.
1. Use sine to find out length of dotted line: sin(60°)=x/12
2: Simplify: 12*sin(60°)=x. x≈10.4 (rounded to the nearest tenth)
3. Use Pythagorean Theorem to find out last leg of triangle: 10.4²+x²=12²
4: Simplify: 108.16 +x²=144. x²=35.84 ≈ 6
5: Use formula: 1/2(h)(b1+b2). 1/2 (10.4) (30+36)
6: Simplify: 1/2 (10.4) (66) =343.2
7: Area of figure is about 343.2
Remember, this is an approximate answer with rounding, so it might not be what your teacher wants. The best thing to do is do it yourself again.
